Finite Group Databasebeta

← C2×#20288864 #28291213

Subgroups — C2×#20288864 #28291213

Order 13568.

9542 conjugacy classes of subgroups.

The subgroup lattice has 2308 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288864C2132yesmaximal, direct product factor
2C2×#16811365C211yesmaximal, characteristic, complemented
3C2×#16811363C211yesmaximal, characteristic, complemented
4C2×#16811361C211yesmaximal, characteristic, complemented
5C2×#16811361C211yesmaximal, characteristic, complemented
6C2×#16811300C211yesmaximal, characteristic, complemented
7C2×#16811299C211yesmaximal, characteristic, complemented
8C2×#16811296C211yesmaximal, characteristic, complemented
9C2×#16811269C211yesmaximal, characteristic, complemented
10C2×#16811268C211yesmaximal, characteristic, complemented
11C2×#16811263C211yesmaximal, characteristic, complemented
12C2×#16811261C211yesmaximal, characteristic, complemented
13C2×#16811260C211yesmaximal, characteristic, complemented
14C2×#16811257C211yesmaximal, characteristic, complemented
15C2×D4×C22⋊D53C211yesmaximal, characteristic, complemented
16C2×#16811255C211yesmaximal, characteristic, complemented
17C2×#16811213C211yesmaximal, characteristic, complemented
18C2×#16811210C211yesmaximal, characteristic, complemented
19C2×#16811209C211yesmaximal, characteristic, complemented
20C2×#16811207C211yesmaximal, characteristic, complemented
21C2×#16811206C211yesmaximal, characteristic, complemented
22C2×#16811206C211yesmaximal, characteristic, complemented
23C2×#16811189C211yesmaximal, characteristic, complemented
24C2×#16811188C211yesmaximal, characteristic, complemented
25C2×#16811187C211yesmaximal, characteristic, complemented
26C2×#16811185C211yesmaximal, characteristic, complemented
27C2×#16811184C211yesmaximal, characteristic, complemented
28C2×#16811181C211yesmaximal, characteristic, complemented
29C22×#13133187C211yesmaximal, characteristic, complemented
30C22×#13133185C211yesmaximal, characteristic, complemented
31C2×#120×D53C211yesmaximal, characteristic, complemented
32C2×C53×#546C211yesmaximal, characteristic, complemented
33C25×D53C2211yescharacteristic, complemented
34C22×#11719945C2211yescharacteristic, complemented
35C22×#11719947C2211yescharacteristic, complemented
36C23×D212C2211yescharacteristic, complemented
37C23×D212C2211yescharacteristic, complemented
38C23×C22⋊D53C2211yescharacteristic, complemented
39C23×C22⋊D53C2211yescharacteristic, complemented
40C23×C22⋊D53C2211yescharacteristic, complemented
41C23×C22⋊D53C2211yescharacteristic, complemented
42C22×D4×D53C2211yescharacteristic, complemented
43C22×D4×D53C2211yescharacteristic, complemented
44C22×D4×D53C2211yescharacteristic, complemented
45C22×D4×D53C2211yescharacteristic, complemented
46C22×D4×D53C2211yescharacteristic, complemented
47#16811365C22116yescomplemented
48#16811363C22116yescomplemented
49#16811361C22116yescomplemented
50#16811361C22116yescomplemented
51#16811300C22116yescomplemented
52#16811299C22116yescomplemented
53#16811296C22116yescomplemented
54#16811269C22116yescomplemented
55#16811268C22116yescomplemented
56#16811263C22116yescomplemented
57#16811261C22116yescomplemented
58#16811260C22116yescomplemented
59#16811257C22116yescomplemented
60D4×C22⋊D53C22116yescomplemented
61#16811255C22116yescomplemented
62#16811213C22116yescomplemented
63#16811210C22116yescomplemented
64#16811209C22116yescomplemented
65#16811207C22116yescomplemented
66#16811206C22116yescomplemented
67#16811206C22116yescomplemented
68#16811189C22116yescomplemented
69#16811188C22116yescomplemented
70#16811187C22116yescomplemented
71#16811185C22116yescomplemented
72#16811184C22116yescomplemented
73#16811181C22116yescomplemented
74C2×#13133213C2211yescharacteristic, complemented
75C2×#13133213C2211yescharacteristic, complemented
76C2×#13133213C2211yescharacteristic, complemented
77C2×#13133213C2211yescharacteristic, complemented
78C2×#13133212C2211yescharacteristic, complemented
79C2×#13133212C2211yescharacteristic, complemented
80C2×#13133212C2211yescharacteristic, complemented
81C2×#13133212C2211yescharacteristic, complemented
82C2×#13133212C2211yescharacteristic, complemented
83C2×#13133211C2211yescharacteristic, complemented
84C2×#13133210C2211yescharacteristic, complemented
85C2×#13133210C2211yescharacteristic, complemented
86C2×#13133206C2211yescharacteristic, complemented
87C2×#13133206C2211yescharacteristic, complemented
88C2×#13133206C2211yescharacteristic, complemented
89C2×#13133205C2211yescharacteristic, complemented
90C2×#13133205C2211yescharacteristic, complemented
91C2×#13133203C2211yescharacteristic, complemented
92C2×#13133203C2211yescharacteristic, complemented
93C2×#13133203C2211yescharacteristic, complemented
94C2×#13133203C2211yescharacteristic, complemented
95C2×#13133203C2211yescharacteristic, complemented
96C2×#13133203C2211yescharacteristic, complemented
97C2×#13133202C2211yescharacteristic, complemented
98C2×#13133202C2211yescharacteristic, complemented
99C2×#13133202C2211yescharacteristic, complemented
100C2×#13133202C2211yescharacteristic, complemented
101C2×#13133202C2211yescharacteristic, complemented
102C2×#13133201C2211yescharacteristic, complemented
103C2×#13133201C2211yescharacteristic, complemented
104C2×#13133201C2211yescharacteristic, complemented
105C2×#13133201C2211yescharacteristic, complemented
106C2×#13133201C2211yescharacteristic, complemented
107C2×#13133200C2211yescharacteristic, complemented
108C2×#13133200C2211yescharacteristic, complemented
109C2×#13133200C2211yescharacteristic, complemented
110C2×#13133199C2211yescharacteristic, complemented
111C2×#13133199C2211yescharacteristic, complemented
112C2×#13133199C2211yescharacteristic, complemented
113C2×#13133197C2211yescharacteristic, complemented
114C2×#13133196C2211yescharacteristic, complemented
115C2×#13133194C2211yescharacteristic, complemented
116C2×#13133194C2211yescharacteristic, complemented
117C2×#13133193C2211yescharacteristic, complemented
118C2×#13133192C2211yescharacteristic, complemented
119C2×#13133192C2211yescharacteristic, complemented
120C2×#13133192C2211yescharacteristic, complemented
121C2×#13133191C2211yescharacteristic, complemented
122C2×#13133191C2211yescharacteristic, complemented
123C2×#13133191C2211yescharacteristic, complemented
124C2×#13133191C2211yescharacteristic, complemented
125C2×#13133191C2211yescharacteristic, complemented
126C2×#13133191C2211yescharacteristic, complemented
127C2×#13133191C2211yescharacteristic, complemented
128C2×#13133191C2211yescharacteristic, complemented
129C2×#13133190C2211yescharacteristic, complemented
130C2×#13133190C2211yescharacteristic, complemented
131C2×#13133190C2211yescharacteristic, complemented
132C2×#13133190C2211yescharacteristic, complemented
133C2×#13133190C2211yescharacteristic, complemented
134C2×#13133190C2211yescharacteristic, complemented
135C2×#13133190C2211yescharacteristic, complemented
136C2×#13133189C2211yescharacteristic, complemented
137C2×#13133189C2211yescharacteristic, complemented
138C2×#13133189C2211yescharacteristic, complemented
139C2×#13133189C2211yescharacteristic, complemented
140C2×#13133189C2211yescharacteristic, complemented
141C2×#13133189C2211yescharacteristic, complemented
142C2×#13133189C2211yescharacteristic, complemented
143C2×#13133188C2211yescharacteristic, complemented
144C2×#13133188C2211yescharacteristic, complemented
145C2×#13133187C2211yescharacteristic
146C2×#13133187C2211yescharacteristic, complemented
147C2×#13133187C2211yescharacteristic, complemented
148C2×#13133187C2211yescharacteristic, complemented
149C2×#13133187C2211yescharacteristic, complemented
150C2×#13133187C2211yescharacteristic, complemented
151C2×#13133187C2211yescharacteristic, complemented
152C2×#13133187C2211yescharacteristic, complemented
153C2×#13133187C2211yescharacteristic, complemented
154C2×#13133187C2211yescharacteristic, complemented
155C2×#13133187C2211yescharacteristic, complemented
156C2×#13133187C2211yescharacteristic, complemented
157C2×#13133187C22116yescomplemented
158C2×#13133187C2211yescharacteristic, complemented
159C2×#13133187C2211yescharacteristic, complemented
160C2×#13133187C2211yescharacteristic, complemented
161C2×#13133186C2211yescharacteristic
162C2×#13133186C2211yescharacteristic, complemented
163C2×#13133185C2211yescharacteristic
164C2×#13133185C2211yescharacteristic, complemented
165C2×#13133185C2211yescharacteristic, complemented
166C2×#13133185C2211yescharacteristic, complemented
167C2×#13133185C2211yescharacteristic, complemented
168C2×#13133185C2211yescharacteristic, complemented
169C2×#13133185C2211yescharacteristic, complemented
170C2×#13133185C2211yescharacteristic, complemented
171C2×#13133185C2211yescharacteristic, complemented
172C2×#13133185C2211yescharacteristic, complemented
173C2×#13133185C2211yescharacteristic, complemented
174C2×#13133185C2211yescharacteristic, complemented
175C2×#13133185C2211yescharacteristic, complemented
176C2×#13133185C2211yescharacteristic, complemented
177C2×#13133185C2211yescharacteristic, complemented
178C2×#13133185C22116yescomplemented
179#120×D53C22116yescomplemented
180C2×C4×D212C2211yescharacteristic, complemented
181C2×D4×Dic53C2211yescharacteristic, complemented
182C2×D4×Dic53C2211yescharacteristic, complemented
183C2×#13133179C2211yescharacteristic, complemented
184C2×C4×C22⋊D53C2211yescharacteristic, complemented
185C2×C4×C22⋊D53C2211yescharacteristic, complemented
186C2×C4×C22⋊D53C2211yescharacteristic, complemented
187C2×#13133177C2211yescharacteristic, complemented
188C2×#13133177C2211yescharacteristic, complemented
189C2×#13133177C2211yescharacteristic, complemented
190C2×#13133176C2211yescharacteristic, complemented
191C2×#13133175C2211yescharacteristic, complemented
192C2×#13133173C2211yescharacteristic, complemented
193C22×C22⋊Dic53C2211yescharacteristic, complemented
194C22×#11719921C2211yescharacteristic, complemented
195C22×#11719921C2211yescharacteristic, complemented
196C22×#11719921C2211yescharacteristic, complemented
197C22×#11719921C2211yescharacteristic, complemented
198C22×#11719921C2211yescharacteristic, complemented
199C2×C22⋊C4×D53C2211yescharacteristic, complemented
200C2×C22⋊C4×D53C2211yescharacteristic, complemented
201C2×C22⋊C4×D53C2211yescharacteristic, complemented
202C2×C22⋊C4×D53C2211yescharacteristic, complemented
203C22×#41×C53C2211yescharacteristic, complemented
204C23×D4×C53C2211yescharacteristic, complemented
205C53×#546C22116yescomplemented
206C2×#124×C53C2211yescharacteristic, complemented
207C2×#123×C53C2211yescharacteristic, complemented
208C2×#123×C53C2211yescharacteristic, complemented
209C2×C22⋊Q8×C53C2211yescharacteristic, complemented
210C2×#121×C53C2211yescharacteristic, complemented
211C2×#121×C53C2211yescharacteristic, complemented
212C2×#121×C53C2211yescharacteristic, complemented
213C2×#120×C53C2211yescharacteristic, complemented
214C2×#120×C53C2211yescharacteristic, complemented
215C2×C4×D4×C53C2211yescharacteristic, complemented
216C2×C4×D4×C53C2211yescharacteristic, complemented
217C22×C22⋊C4×C53C2211yescharacteristic, complemented
218C22×C22⋊C4×C53C2211yescharacteristic, complemented
219C24×D53—44no—
220C24×D53—44no—
221C24×D53—44no—
222C24×D53C2311yescharacteristic
223C24×D53C2311yescharacteristic
224C24×D53C2311yescharacteristic
225C24×D53C2311yescharacteristic
226C24×D53C2311yescharacteristic
227C24×D53C2311yescharacteristic
228C24×D53C2311yescharacteristic
229C24×D53C2311yescharacteristic
230C24×D53C2318yescomplemented
231C24×D53C2311yescharacteristic, complemented
232C2×#11719945—44no—
233C2×#11719945C2318yescomplemented
234C2×#11719947—44no—
235C2×#11719947C2318yescomplemented
236C22×Dic106C2311yescharacteristic, complemented
237C22×Dic106C2311yescharacteristic, complemented
238C22×D212—44no—
239C22×D212—44no—
240C22×D212C2311yescharacteristic
241C22×D212C2311yescharacteristic
242C22×D212C2311yescharacteristic
243C22×D212C2311yescharacteristic
244C22×D212C2311yescharacteristic
245C22×D212C2311yescharacteristic
246C22×D212C2311yescharacteristic
247C22×D212C2311yescharacteristic
248C22×D212C2311yescharacteristic
249C22×D212C2311yescharacteristic
250C22×D212C2311yescharacteristic
251C22×D212C2318yescomplemented
252C22×D212C2318yescomplemented
253C22×D212C2311yescharacteristic, complemented
254C22×C22⋊D53—44no—
255C22×C22⋊D53—44no—
256C22×C22⋊D53—44no—
257C22×C22⋊D53—44no—
258C22×C22⋊D53C2311yescharacteristic
259C22×C22⋊D53C2311yescharacteristic
260C22×C22⋊D53C2311yescharacteristic
261C22×C22⋊D53C2311yescharacteristic
262C22×C22⋊D53C2311yescharacteristic
263C22×C22⋊D53C2311yescharacteristic
264C22×C22⋊D53C2311yescharacteristic
265C22×C22⋊D53C2311yescharacteristic
266C22×C22⋊D53C2311yescharacteristic
267C22×C22⋊D53C2311yescharacteristic
268C22×C22⋊D53C2311yescharacteristic
269C22×C22⋊D53C2311yescharacteristic
270C22×C22⋊D53C2311yescharacteristic
271C22×C22⋊D53C2311yescharacteristic
272C22×C22⋊D53C2311yescharacteristic
273C22×C22⋊D53C2311yescharacteristic
274C22×C22⋊D53C2311yescharacteristic
275C22×C22⋊D53C2311yescharacteristic
276C22×C22⋊D53C2318yescomplemented
277C22×C22⋊D53C2318yescomplemented
278C22×C22⋊D53C2318yescomplemented
279C22×C22⋊D53C2311yescharacteristic, complemented
280C22×C22⋊D53C2311yescharacteristic, complemented
281C22×C22⋊D53C2311yescharacteristic, complemented
282C22×C22⋊D53C2311yescharacteristic, complemented
283C22×C22⋊D53C2311yescharacteristic, complemented
284C22×C22⋊D53C2311yescharacteristic, complemented
285C22×C22⋊D53C2318yescomplemented
286C2×D4×D53—44no—
287C2×D4×D53—44no—
288C2×D4×D53—44no—
289C2×D4×D53—44no—
290C2×D4×D53—44no—
291C2×D4×D53C2318yescomplemented
292C2×D4×D53C2318yescomplemented
293C2×D4×D53C2318yescomplemented
294C2×D4×D53C2318yescomplemented
295C2×D4×D53C2318yescomplemented
296C23×Dic53C2311yescharacteristic
297C23×Dic53C2311yescharacteristic
298C23×Dic53C2311yescharacteristic
299C23×Dic53C2311yescharacteristic, complemented
300C23×Dic53C2311yescharacteristic, complemented
301C22×C4×D53C2311yescharacteristic
302C22×C4×D53C2311yescharacteristic
303C22×C4×D53C2311yescharacteristic
304C22×C4×D53C2311yescharacteristic, complemented
305C22×C4×D53C2311yescharacteristic, complemented
306C22×C4×D53C2311yescharacteristic, complemented
307C22×C4×D53C2311yescharacteristic, complemented
308#13133213C2318yescomplemented
309#13133213C2318yescomplemented
310#13133213C2318yescomplemented
311#13133213C2318yescomplemented
312#13133212C2318yescomplemented
313#13133212C2318yescomplemented
314#13133212C2318yescomplemented
315#13133212C2318yescomplemented
316#13133212C2318yescomplemented
317#13133211C2318yescomplemented
318#13133210C2318yescomplemented
319#13133210C2318yescomplemented
320#13133206C2318yescomplemented
321#13133206C2318yescomplemented
322#13133206C2318yescomplemented
323#13133205C2318yescomplemented
324#13133205C2318yescomplemented
325#13133203C2318yescomplemented
326#13133203C2318yescomplemented
327#13133203C2318yescomplemented
328#13133203C2318yescomplemented
329#13133203C2318yescomplemented
330#13133203C2318yescomplemented
331#13133202C2318yescomplemented
332#13133202C2318yescomplemented
333#13133202C2318yescomplemented
334#13133202C2318yescomplemented
335#13133202C2318yescomplemented
336#13133201C2318yescomplemented
337#13133201C2318yescomplemented
338#13133201C2318yescomplemented
339#13133201C2318yescomplemented
340#13133201C2318yescomplemented
341#13133200C2318yescomplemented
342#13133200C2318yescomplemented
343#13133200C2318yescomplemented
344#13133199C2318yescomplemented
345#13133199C2318yescomplemented
346#13133199C2318yescomplemented
347#13133197C2318yescomplemented
348#13133196C2318yescomplemented
349#13133194C2318yescomplemented
350#13133194C2318yescomplemented
351#13133193C2318yescomplemented
352#13133192C2318yescomplemented
353#13133192C2318yescomplemented
354#13133192C2318yescomplemented
355#13133191C2318yescomplemented
356#13133191C2318yescomplemented
357#13133191C2318yescomplemented
358#13133191C2318yescomplemented
359#13133191C2318yescomplemented
360#13133191C2318yescomplemented
361#13133191C2318yescomplemented
362#13133191C2318yescomplemented
363#13133190C2318yescomplemented
364#13133190C2318yescomplemented
365#13133190C2318yescomplemented
366#13133190C2318yescomplemented
367#13133190C2318yescomplemented
368#13133190C2318yescomplemented
369#13133190C2318yescomplemented
370#13133189C2318yescomplemented
371#13133189C2318yescomplemented
372#13133189C2318yescomplemented
373#13133189C2318yescomplemented
374#13133189C2318yescomplemented
375#13133189C2318yescomplemented
376#13133189C2318yescomplemented
377#13133188C2318yescomplemented
378#13133188C2318yescomplemented
379#13133187C2318yes—
380#13133187C2318yescomplemented
381#13133187C2318yescomplemented
382#13133187C2318yescomplemented
383#13133187C2318yescomplemented
384#13133187C2318yescomplemented
385#13133187C2318yescomplemented
386#13133187C2318yescomplemented
387#13133187C2318yescomplemented
388#13133187C2318yescomplemented
389#13133187C2318yescomplemented
390#13133187C2318yescomplemented
391#13133187C2318yescomplemented
392#13133187C2318yescomplemented
393#13133187C2318yescomplemented
394#13133186C2318yes—
395#13133186C2318yescomplemented
396#13133185C2318yes—
397#13133185C2318yescomplemented
398#13133185C2318yescomplemented
399#13133185C2318yescomplemented
400#13133185C2318yescomplemented
401#13133185C2318yescomplemented
402#13133185C2318yescomplemented
403#13133185C2318yescomplemented
404#13133185C2318yescomplemented
405#13133185C2318yescomplemented
406#13133185C2318yescomplemented
407#13133185C2318yescomplemented
408#13133185C2318yescomplemented
409#13133185C2318yescomplemented
410#13133185C2318yescomplemented
411C4×D212C2318yescomplemented
412D4×Dic53C2318yescomplemented
413D4×Dic53C2318yescomplemented
414#13133179C2318yescomplemented
415C4×C22⋊D53C2318yescomplemented
416C4×C22⋊D53C2318yescomplemented
417C4×C22⋊D53C2318yescomplemented
418#13133177C2318yescomplemented
419#13133177C2318yescomplemented
420#13133177C2318yescomplemented
421#13133176C2318yescomplemented
422#13133175C2318yescomplemented
423#13133173C2318yescomplemented
424C2×C4⋊Dic53C2311yescharacteristic, complemented
425C2×C4⋊Dic53C2311yescharacteristic, complemented
426C2×C4⋊Dic53C2311yescharacteristic, complemented
427C2×C4⋊Dic53C2311yescharacteristic, complemented
428C2×C4⋊Dic53C2311yescharacteristic, complemented
429C2×C4⋊Dic53C2311yescharacteristic, complemented
430C2×#11719919C2311yescharacteristic, complemented
431C2×#11719919C2311yescharacteristic, complemented
432C2×#11719919C2311yescharacteristic, complemented
433C2×#11719919C2311yescharacteristic, complemented
434C2×#11719919C2311yescharacteristic, complemented
435C2×#11719919C2311yescharacteristic, complemented
436C2×#11719919C2311yescharacteristic, complemented
437C2×#11719919C2311yescharacteristic, complemented
438C2×C22⋊Dic53C2311yescharacteristic
439C2×C22⋊Dic53C2311yescharacteristic
440C2×C22⋊Dic53C2311yescharacteristic
441C2×C22⋊Dic53C2311yescharacteristic
442C2×C22⋊Dic53C2311yescharacteristic
443C2×C22⋊Dic53C2311yescharacteristic
444C2×C22⋊Dic53C2311yescharacteristic
445C2×C22⋊Dic53C2318yescomplemented
446C2×C22⋊Dic53C2311yescharacteristic, complemented
447C2×C22⋊Dic53C2311yescharacteristic, complemented
448C2×C22⋊Dic53C2311yescharacteristic, complemented
449C2×#11719921C2311yescharacteristic
450C2×#11719921C2311yescharacteristic
451C2×#11719921C2311yescharacteristic
452C2×#11719921C2311yescharacteristic
453C2×#11719921C2311yescharacteristic
454C2×#11719921C2311yescharacteristic
455C2×#11719921C2311yescharacteristic
456C2×#11719921C2311yescharacteristic
457C2×#11719921C2311yescharacteristic
458C2×#11719921C2311yescharacteristic
459C2×#11719921C2311yescharacteristic
460C2×#11719921C2311yescharacteristic
461C2×#11719921C2311yescharacteristic
462C2×#11719921C2311yescharacteristic
463C2×#11719921C2311yescharacteristic
464C2×#11719921C2311yescharacteristic
465C2×#11719921C2311yescharacteristic
466C2×#11719921C2311yescharacteristic
467C2×#11719921C2311yescharacteristic
468C2×#11719921C2311yescharacteristic
469C2×#11719921C2311yescharacteristic
470C2×#11719921C2311yescharacteristic
471C2×#11719921C2318yescomplemented
472C2×#11719921C2318yescomplemented
473C2×#11719921C2318yescomplemented
474C2×#11719921C2318yescomplemented
475C2×#11719921C2311yescharacteristic, complemented
476C2×#11719921C2311yescharacteristic, complemented
477C2×#11719921C2311yescharacteristic, complemented
478C2×#11719921C2311yescharacteristic, complemented
479C2×#11719921C2311yescharacteristic, complemented
480C2×#11719921C2311yescharacteristic, complemented
481C2×#11719921C2311yescharacteristic, complemented
482C2×#11719921C2311yescharacteristic, complemented
483C2×#11719921C2311yescharacteristic, complemented
484C2×#11719921C2311yescharacteristic, complemented
485C2×#11719921C2318yescomplemented
486C22⋊C4×D53C2318yescomplemented
487C22⋊C4×D53C2318yescomplemented
488C22⋊C4×D53C2318yescomplemented
489C22⋊C4×D53C2318yescomplemented
490C2×C4×Dic53C2311yescharacteristic, complemented
491C2×C4×Dic53C2311yescharacteristic, complemented
492C2×C4×Dic53C2311yescharacteristic, complemented
493C2×C4×Dic53C2311yescharacteristic, complemented
494C2×C4×Dic53C2311yescharacteristic, complemented
495C25×C53C2311yescharacteristic
496C25×C53C2311yescharacteristic
497C2×#41×C53—44no—
498C2×#41×C53C2318yescomplemented
499C22×Q8×C53C2311yescharacteristic, complemented
500C22×D4×C53—44no—
501C22×D4×C53C2311yescharacteristic
502C22×D4×C53C2311yescharacteristic
503C22×D4×C53C2311yescharacteristic
504C22×D4×C53C2311yescharacteristic
505C22×D4×C53C2311yescharacteristic
506C22×D4×C53C2311yescharacteristic
507C22×D4×C53C2311yescharacteristic
508C22×D4×C53C2318yescomplemented
509C22×D4×C53C2311yescharacteristic, complemented
510C22×D4×C53C2311yescharacteristic, complemented
511C23×C4×C53C2311yescharacteristic
512C23×C4×C53C2311yescharacteristic
513C23×C4×C53C2311yescharacteristic
514C23×C4×C53C2311yescharacteristic, complemented
515C23×C4×C53C2311yescharacteristic, complemented
516C23×C4×C53C2311yescharacteristic, complemented
517#124×C53C2318yescomplemented
518#123×C53C2318yescomplemented
519#123×C53C2318yescomplemented
520C22⋊Q8×C53C2318yescomplemented
521#121×C53C2318yescomplemented
522#121×C53C2318yescomplemented
523#121×C53C2318yescomplemented
524#120×C53C2318yescomplemented
525#120×C53C2318yescomplemented
526C4×D4×C53C2318yescomplemented
527C4×D4×C53C2318yescomplemented
528C2×C4⋊C4×C53C2311yescharacteristic, complemented
529C2×C4⋊C4×C53C2311yescharacteristic, complemented
530C2×C4⋊C4×C53C2311yescharacteristic, complemented
531C2×C4⋊C4×C53C2311yescharacteristic, complemented
532C2×C22⋊C4×C53C2311yescharacteristic
533C2×C22⋊C4×C53C2311yescharacteristic
534C2×C22⋊C4×C53C2311yescharacteristic
535C2×C22⋊C4×C53C2311yescharacteristic
536C2×C22⋊C4×C53C2311yescharacteristic
537C2×C22⋊C4×C53C2311yescharacteristic
538C2×C22⋊C4×C53C2311yescharacteristic
539C2×C22⋊C4×C53C2318yescomplemented
540C2×C22⋊C4×C53C2311yescharacteristic, complemented
541C2×C22⋊C4×C53C2311yescharacteristic, complemented
542C2×C22⋊C4×C53C2311yescharacteristic, complemented
543C2×C22⋊C4×C53C2311yescharacteristic, complemented
544C2×C22⋊C4×C53C2311yescharacteristic, complemented
545C2×C22⋊C4×C53C2318yescomplemented
546C2×C42×C53C2311yescharacteristic, complemented
547C24×C53—24no—
548C24×C53—24no—
549C24×C53—24no—
550C24×C53—42no—
551C24×C53—42no—
552C24×C53—42no—
553C24×C53C2411yescharacteristic
554C24×C53C2411yescharacteristic
555C24×C53C2411yescharacteristic
556C24×C53C2411yescharacteristic
557C24×C53C2414yes—
558C24×C53C2411yescharacteristic
559C24×C53C2411yescharacteristic
560C24×C53C2414yes—
561C23×D53—24no—
562C23×D53—24no—
563C23×D53—24no—
564C23×D53—24no—
565C23×D53—24no—
566C23×D53—24no—
567C23×D53—24no—
568C23×D53—24no—
569C23×D53—24no—
570C23×D53—416no—
571C23×D53—42no—
572C23×D53—42no—
573C23×D53—42no—
574C23×D53—42no—
575C23×D53—42no—
576C23×D53—42no—
577C23×D53—42no—
578C23×D53—42no—
579C23×D53—42no—
580C23×D53—42no—
581C23×D53—42no—
582C23×D53—416no—
583C23×D53—416no—
584C23×D53—42no—
585C23×D53—42no—
586C23×D53—42no—
587C23×D53—42no—
588C23×D53—42no—
589C23×D53—42no—
590C23×D53—42no—
591C23×D53—464no—
592C23×D53C2411yescharacteristic
593C23×D53C2411yescharacteristic
594C23×D53C2411yescharacteristic
595C23×D53C2411yescharacteristic
596C23×D53C2411yescharacteristic
597C23×D53C2411yescharacteristic
598C23×D53C2414yes—
599C23×D53C2414yes—
600C23×D53C2411yescharacteristic
601C23×D53C2414yes—
602C23×D53C2414yes—
603C23×D53C2414yes—
604C23×D53C2414yes—
605C23×D53C2414yes—
606C23×D53C2414yes—
607C23×D53C2414yescomplemented
608#41×C53—416no—
609C2×Q8×C53—42no—
610C2×Q8×C53C2414yescomplemented
611C2×D4×C53—24no—
612C2×D4×C53—24no—
613C2×D4×C53—24no—
614C2×D4×C53—24no—
615C2×D4×C53—42no—
616C2×D4×C53—42no—
617C2×D4×C53—42no—
618C2×D4×C53—42no—
619C2×D4×C53—42no—
620C2×D4×C53—416no—
621C2×D4×C53C2414yes—
622C2×D4×C53C2414yes—
623C2×D4×C53C2414yes—
624C2×D4×C53C2414yes—
625C2×D4×C53C2414yes—
626C2×D4×C53C2414yes—
627C2×D4×C53C2414yes—
628C2×D4×C53C2414yescomplemented
629C2×D4×C53C2414yescomplemented
630C22×C4×C53—24no—
631C22×C4×C53—42no—
632C22×C4×C53—42no—
633C22×C4×C53—42no—
634C22×C4×C53—42no—
635C22×C4×C53—42no—
636C22×C4×C53C2411yescharacteristic
637C22×C4×C53C2411yescharacteristic
638C22×C4×C53C2411yescharacteristic
639C22×C4×C53C2411yescharacteristic
640C22×C4×C53C2411yescharacteristic
641C22×C4×C53C2411yescharacteristic
642C22×C4×C53C2411yescharacteristic
643C22×C4×C53C2411yescharacteristic
644C22×C4×C53C2414yes—
645C22×C4×C53C2411yescharacteristic
646C22×C4×C53C2414yes—
647C22×C4×C53C2414yes—
648C22×C4×C53C2414yescomplemented
649C22×C4×C53C2414yescomplemented
650C22×C4×C53C2414yescomplemented
651C2×C22⋊D53—24no—
652C2×C22⋊D53—24no—
653C2×C22⋊D53—24no—
654C2×C22⋊D53—24no—
655C2×C22⋊D53—24no—
656C2×C22⋊D53—24no—
657C2×C22⋊D53—42no—
658C2×C22⋊D53—42no—
659C2×C22⋊D53—42no—
660C2×C22⋊D53—42no—
661C2×C22⋊D53—42no—
662C2×C22⋊D53—42no—
663C2×C22⋊D53—42no—
664C2×C22⋊D53—42no—
665C2×C22⋊D53—42no—
666C2×C22⋊D53—42no—
667C2×C22⋊D53—42no—
668C2×C22⋊D53—42no—
669C2×C22⋊D53—42no—
670C2×C22⋊D53—42no—
671C2×C22⋊D53—42no—
672C2×C22⋊D53—416no—
673C2×C22⋊D53—42no—
674C2×C22⋊D53—42no—
675C2×C22⋊D53—42no—
676C2×C22⋊D53—416no—
677C2×C22⋊D53—416no—
678C2×C22⋊D53—416no—
679C2×C22⋊D53C2414yes—
680C2×C22⋊D53C2414yes—
681C2×C22⋊D53C2414yes—
682C2×C22⋊D53C2414yes—
683C2×C22⋊D53C2414yes—
684C2×C22⋊D53C2414yes—
685C2×C22⋊D53C2414yes—
686C2×C22⋊D53C2414yes—
687C2×C22⋊D53C2414yes—
688C2×C22⋊D53C2414yes—
689C2×C22⋊D53C2414yes—
690C2×C22⋊D53C2414yes—
691C2×C22⋊D53C2414yes—
692C2×C22⋊D53C2414yes—
693C2×C22⋊D53C2414yes—
694C2×C22⋊D53C2414yes—
695C2×C22⋊D53C2414yes—
696C2×C22⋊D53C2414yes—
697C2×C22⋊D53C2414yescomplemented
698C2×C22⋊D53C2414yescomplemented
699C2×C22⋊D53C2414yescomplemented
700C2×C22⋊D53C2414yescomplemented
701C2×C22⋊D53C2414yescomplemented
702C2×C22⋊D53C2414yescomplemented
703C22×Dic53—24no—
704C22×Dic53—42no—
705C22×Dic53—42no—
706C22×Dic53—42no—
707C22×Dic53—42no—
708C22×Dic53C2411yescharacteristic
709C22×Dic53C2411yescharacteristic
710C22×Dic53C2411yescharacteristic
711C22×Dic53C2411yescharacteristic
712C22×Dic53C2411yescharacteristic
713C22×Dic53C2411yescharacteristic
714C22×Dic53C2411yescharacteristic
715C22×Dic53C2411yescharacteristic
716C22×Dic53C2411yescharacteristic
717C22×Dic53C2414yes—
718C22×Dic53C2414yes—
719C22×Dic53C2414yes—
720C22×Dic53C2414yescomplemented
721C22×Dic53C2414yescomplemented
722#11719947—416no—
723D4×D53—416no—
724D4×D53—416no—
725D4×D53—416no—
726D4×D53—416no—
727D4×D53—416no—
728#11719945—416no—
729C2×D212—24no—
730C2×D212—24no—
731C2×D212—416no—
732C2×D212—42no—
733C2×D212—42no—
734C2×D212—42no—
735C2×D212—42no—
736C2×D212—42no—
737C2×D212—42no—
738C2×D212—42no—
739C2×D212—42no—
740C2×D212—42no—
741C2×D212—42no—
742C2×D212—416no—
743C2×D212C2414yes—
744C2×D212C2414yes—
745C2×D212C2414yes—
746C2×D212C2414yes—
747C2×D212C2414yes—
748C2×D212C2414yes—
749C2×D212C2414yes—
750C2×D212C2414yes—
751C2×D212C2414yes—
752C2×D212C2414yes—
753C2×D212C2414yes—
754C2×D212C2414yescomplemented
755C2×C4×D53—24no—
756C2×C4×D53—42no—
757C2×C4×D53—42no—
758C2×C4×D53—42no—
759C2×C4×D53—42no—
760C2×C4×D53—42no—
761C2×C4×D53—42no—
762C2×C4×D53C2414yes—
763C2×C4×D53C2414yes—
764C2×C4×D53C2414yes—
765C2×C4×D53C2414yescomplemented
766C2×C4×D53C2414yescomplemented
767C2×C4×D53C2414yescomplemented
768C2×C4×D53C2414yescomplemented
769C2×Dic106—42no—
770C2×Dic106—42no—
771C2×Dic106C2414yescomplemented
772C2×Dic106C2414yescomplemented
773C4⋊C4×C53C2414yescomplemented
774C4⋊C4×C53C2414yescomplemented
775C4⋊C4×C53C2414yescomplemented
776C4⋊C4×C53C2414yescomplemented
777C22⋊C4×C53C2414yes—
778C22⋊C4×C53C2414yes—
779C22⋊C4×C53C2414yes—
780C22⋊C4×C53C2414yes—
781C22⋊C4×C53C2414yes—
782C22⋊C4×C53C2414yes—
783C22⋊C4×C53C2414yes—
784C22⋊C4×C53C2414yescomplemented
785C22⋊C4×C53C2414yescomplemented
786C22⋊C4×C53C2414yescomplemented
787C22⋊C4×C53C2414yescomplemented
788C22⋊C4×C53C2414yescomplemented
789C42×C53C2414yescomplemented
790C22⋊Dic53C2414yes—
791C22⋊Dic53C2414yes—
792C22⋊Dic53C2414yes—
793C22⋊Dic53C2414yes—
794C22⋊Dic53C2414yes—
795C22⋊Dic53C2414yes—
796C22⋊Dic53C2414yes—
797C22⋊Dic53C2414yescomplemented
798C22⋊Dic53C2414yescomplemented
799C22⋊Dic53C2414yescomplemented
800#11719921C2414yes—
801#11719921C2414yes—
802#11719921C2414yes—
803#11719921C2414yes—
804#11719921C2414yes—
805#11719921C2414yes—
806#11719921C2414yes—
807#11719921C2414yes—
808#11719921C2414yes—
809#11719921C2414yes—
810#11719921C2414yes—
811#11719921C2414yes—
812#11719921C2414yes—
813#11719921C2414yes—
814#11719921C2414yes—
815#11719921C2414yes—
816#11719921C2414yes—
817#11719921C2414yes—
818#11719921C2414yes—
819#11719921C2414yes—
820#11719921C2414yes—
821#11719921C2414yes—
822#11719921C2414yescomplemented
823#11719921C2414yescomplemented
824#11719921C2414yescomplemented
825#11719921C2414yescomplemented
826#11719921C2414yescomplemented
827#11719921C2414yescomplemented
828#11719921C2414yescomplemented
829#11719921C2414yescomplemented
830#11719921C2414yescomplemented
831#11719921C2414yescomplemented
832C4⋊Dic53C2414yescomplemented
833C4⋊Dic53C2414yescomplemented
834C4⋊Dic53C2414yescomplemented
835C4⋊Dic53C2414yescomplemented
836C4⋊Dic53C2414yescomplemented
837C4⋊Dic53C2414yescomplemented
838#11719919C2414yescomplemented
839#11719919C2414yescomplemented
840#11719919C2414yescomplemented
841#11719919C2414yescomplemented
842#11719919C2414yescomplemented
843#11719919C2414yescomplemented
844#11719919C2414yescomplemented
845#11719919C2414yescomplemented
846C4×Dic53C2414yescomplemented
847C4×Dic53C2414yescomplemented
848C4×Dic53C2414yescomplemented
849C4×Dic53C2414yescomplemented
850C4×Dic53C2414yescomplemented
851C23×C53—22no—
852C23×C53—22no—
853C23×C53—22no—
854C23×C53—22no—
855C23×C53—22no—
856C23×C53—22no—
857C23×C53—22no—
858C23×C53—22no—
859C23×C53—22no—
860C23×C53—22no—
861C23×C53—28no—
862C23×C53—22no—
863C23×C53—22no—
864C23×C53—22no—
865C23×C53—22no—
866C23×C53—22no—
867C23×C53—28no—
868C23×C53—22no—
869C23×C53—28no—
870C23×C53—44no—
871C23×C53—44no—
872C23×C53—44no—
873C23×C53—416no—
874C23×C53—88no—
875C23×C53H(5,𝔽2)14yes—
876C23×C53H(5,𝔽2)14yes—
877C23×C53C2512yes—
878C23×C53C2512yes—
879C23×C53C2512yes—
880C23×C53C2512yes—
881C23×C53C2512yes—
882C23×C53C2512yes—
883C23×C53C2511yescharacteristic
884C22×D53—22no—
885C22×D53—22no—
886C22×D53—22no—
887C22×D53—22no—
888C22×D53—22no—
889C22×D53—22no—
890C22×D53—22no—
891C22×D53—22no—
892C22×D53—22no—
893C22×D53—22no—
894C22×D53—28no—
895C22×D53—22no—
896C22×D53—22no—
897C22×D53—22no—
898C22×D53—22no—
899C22×D53—22no—
900C22×D53—22no—
901C22×D53—28no—
902C22×D53—28no—
903C22×D53—22no—
904C22×D53—22no—
905C22×D53—28no—
906C22×D53—22no—
907C22×D53—22no—
908C22×D53—28no—
909C22×D53—28no—
910C22×D53—28no—
911C22×D53—28no—
912C22×D53—28no—
913C22×D53—44no—
914C22×D53—44no—
915C22×D53—44no—
916C22×D53—44no—
917C22×D53—44no—
918C22×D53—44no—
919C22×D53—44no—
920C22×D53—44no—
921C22×D53—44no—
922C22×D53—44no—
923C22×D53—44no—
924C22×D53—44no—
925C22×D53—44no—
926C22×D53—44no—
927C22×D53—44no—
928C22×D53—44no—
929C22×D53—44no—
930C22×D53—44no—
931C22×D53—416no—
932C22×D53—416no—
933C22×D53—416no—
934C22×D53—416no—
935C22×D53—416no—
936C22×D53—4128no—
937C22×D53—416no—
938C22×D53—88no—
939C22×D53—88no—
940C22×D53—88no—
941C22×D53H(5,𝔽2)14yes—
942C22×D53C2512yes—
943C22×D53C2512yes—
944C22×D53C2512yes—
945C22×D53C2512yes—
946C22×D53C2512yes—
947C22×D53C2512yes—
948C22×D53C2512yes—
949Q8×C53—44no—
950D4×C53—28no—
951D4×C53—28no—
952D4×C53—28no—
953D4×C53—28no—
954D4×C53—44no—
955D4×C53—44no—
956D4×C53—44no—
957D4×C53—44no—
958D4×C53—44no—
959C2×C4×C53—22no—
960C2×C4×C53—22no—
961C2×C4×C53—22no—
962C2×C4×C53—22no—
963C2×C4×C53—22no—
964C2×C4×C53—22no—
965C2×C4×C53—22no—
966C2×C4×C53—22no—
967C2×C4×C53—28no—
968C2×C4×C53—22no—
969C2×C4×C53—44no—
970C2×C4×C53—44no—
971C2×C4×C53—44no—
972C2×C4×C53—44no—
973C2×C4×C53—44no—
974C2×C4×C53C2512yes—
975C2×C4×C53C2512yes—
976C2×C4×C53C2512yes—
977C2×C4×C53C2512yes—
978C2×C4×C53C2512yes—
979C2×C4×C53C2512yes—
980C2×C4×C53C2512yes—
981C2×C4×C53C2512yes—
982C2×C4×C53C2512yes—
983C22⋊D53—28no—
984C22⋊D53—28no—
985C22⋊D53—28no—
986C22⋊D53—28no—
987C22⋊D53—28no—
988C22⋊D53—28no—
989C22⋊D53—44no—
990C22⋊D53—44no—
991C22⋊D53—44no—
992C22⋊D53—44no—
993C22⋊D53—44no—
994C22⋊D53—44no—
995C22⋊D53—44no—
996C22⋊D53—44no—
997C22⋊D53—44no—
998C22⋊D53—44no—
999C22⋊D53—44no—
1000C22⋊D53—44no—
1001C22⋊D53—44no—
1002C22⋊D53—44no—
1003C22⋊D53—44no—
1004C22⋊D53—44no—
1005C22⋊D53—44no—
1006C22⋊D53—44no—
1007C2×Dic53—22no—
1008C2×Dic53—22no—
1009C2×Dic53—22no—
1010C2×Dic53—22no—
1011C2×Dic53—22no—
1012C2×Dic53—22no—
1013C2×Dic53—22no—
1014C2×Dic53—22no—
1015C2×Dic53—28no—
1016C2×Dic53—22no—
1017C2×Dic53—44no—
1018C2×Dic53—44no—
1019C2×Dic53—44no—
1020C2×Dic53—44no—
1021C2×Dic53C2512yes—
1022C2×Dic53C2512yes—
1023C2×Dic53C2512yes—
1024C2×Dic53C2512yes—
1025C2×Dic53C2512yes—
1026C2×Dic53C2512yes—
1027C2×Dic53C2512yes—
1028C2×Dic53C2512yes—
1029C2×Dic53C2512yes—
1030D212—28no—
1031D212—28no—
1032D212—44no—
1033D212—44no—
1034D212—44no—
1035D212—44no—
1036D212—44no—
1037D212—44no—
1038D212—44no—
1039D212—44no—
1040D212—44no—
1041D212—44no—
1042C4×D53—28no—
1043C4×D53—44no—
1044C4×D53—44no—
1045C4×D53—44no—
1046C4×D53—44no—
1047C4×D53—44no—
1048C4×D53—44no—
1049Dic106—44no—
1050Dic106—44no—
1051C2×#3532—531nomaximal, Sylow
1052C22×C53—22no—
1053C22×C53—22no—
1054C22×C53—22no—
1055C22×C53—22no—
1056C22×C53—28no—
1057C22×C53—28no—
1058C22×C53—22no—
1059C22×C53—22no—
1060C22×C53—22no—
1061C22×C53—22no—
1062C22×C53—22no—
1063C22×C53—22no—
1064C22×C53—22no—
1065C22×C53—22no—
1066C22×C53—22no—
1067C22×C53—22no—
1068C22×C53—22no—
1069C22×C53—22no—
1070C22×C53—416no—
1071C22×C53—44no—
1072C22×C53—44no—
1073C22×C53—44no—
1074C22×C53—44no—
1075C22×C53—88no—
1076C22×C53C2×H(5,𝔽2)12yes—
1077C22×C53C2×H(5,𝔽2)14yes—
1078C22×C53C2×H(5,𝔽2)12yes—
1079C22×C53C2×H(5,𝔽2)14yes—
1080C22×C53C2×H(5,𝔽2)12yes—
1081C22×C53C2611yescharacteristic
1082C2×D53—22no—
1083C2×D53—22no—
1084C2×D53—28no—
1085C2×D53—22no—
1086C2×D53—22no—
1087C2×D53—22no—
1088C2×D53—22no—
1089C2×D53—22no—
1090C2×D53—22no—
1091C2×D53—22no—
1092C2×D53—22no—
1093C2×D53—22no—
1094C2×D53—22no—
1095C2×D53—22no—
1096C2×D53—22no—
1097C2×D53—22no—
1098C2×D53—22no—
1099C2×D53—22no—
1100C2×D53—22no—
1101C2×D53—22no—
1102C2×D53—22no—
1103C2×D53—416no—
1104C2×D53—416no—
1105C2×D53—416no—
1106C2×D53—416no—
1107C2×D53—416no—
1108C2×D53—416no—
1109C2×D53—44no—
1110C2×D53—44no—
1111C2×D53—44no—
1112C2×D53—44no—
1113C2×D53—44no—
1114C2×D53—44no—
1115C2×D53—88no—
1116C2×D53—88no—
1117C2×D53—88no—
1118C2×D53C2×H(5,𝔽2)14yes—
1119C4×C53—22no—
1120C4×C53—22no—
1121C4×C53—22no—
1122C4×C53—22no—
1123C4×C53—22no—
1124C4×C53—22no—
1125C4×C53—22no—
1126C4×C53—22no—
1127C4×C53—22no—
1128Dic53—22no—
1129Dic53—22no—
1130Dic53—22no—
1131Dic53—22no—
1132Dic53—22no—
1133Dic53—22no—
1134Dic53—22no—
1135Dic53—22no—
1136Dic53—22no—
1137#3532—5332no—
1138C2×H(3,𝔽4)—531no—
1139C2×#560—531no—
1140C2×#560—531no—
1141C2×#560—531no—
1142C2×#551—531no—
1143C2×#551—531no—
1144C2×#551—531no—
1145C2×#546—531no—
1146C2×#546—531no—
1147C2×#546—531no—
1148C2×#546—531no—
1149C2×#546—531no—
1150C2×#546D5311yescharacteristic, complemented
1151C2×D42—531no—
1152C2×D42—531no—
1153C2×D42—531no—
1154C2×#538—531no—
1155C2×#538—531no—
1156C2×#538—531no—
1157C2×#538—531no—
1158C2×#538—531no—
1159C2×#538—531no—
1160C2×#535—531no—
1161C2×#535—531no—
1162C2×#535—531no—
1163C2×#534—531no—
1164C2×#534—531no—
1165C2×#534—531no—
1166C22×#120—531no—
1167C22×#120—531no—
1168C22×#120—531no—
1169C2×C53—24no—
1170C2×C53—24no—
1171C2×C53—42no—
1172C2×C53—42no—
1173C2×C53—42no—
1174C2×C53—42no—
1175C2×C53#353214yescomplemented
1176C2×C53C22×H(5,𝔽2)11yescharacteristic
1177C2×C53C22×H(5,𝔽2)11yescharacteristic
1178C2×C53C22×H(5,𝔽2)11yescharacteristic
1179D53—24no—
1180D53—42no—
1181D53—42no—
1182D53—42no—
1183D53—42no—
1184D53—42no—
1185D53—42no—
1186C26—531no—
1187C22×#41—531no—
1188C22×#41—531no—
1189C22×#41C2×D5311yescharacteristic, complemented
1190C23×D4—531no—
1191C23×D4—531no—
1192C23×D4—531no—
1193C23×D4—531no—
1194C23×D4—531no—
1195C23×D4—531no—
1196C23×D4—531no—
1197C23×D4—531no—
1198C23×D4—531no—
1199C23×D4—531no—
1200C23×D4—531no—
1201C23×D4C2×D5311yescharacteristic, complemented
1202H(3,𝔽4)—5316no—
1203#560—5316no—
1204#560—5316no—
1205#560—5316no—
1206#551—5316no—
1207#551—5316no—
1208#551—5316no—
1209#546—5316no—
1210#546—5316no—
1211#546—5316no—
1212#546—5316no—
1213#546—5316no—
1214#546C2×D53116yescomplemented
1215D42—5316no—
1216D42—5316no—
1217D42—5316no—
1218#538—5316no—
1219#538—5316no—
1220#538—5316no—
1221#538—5316no—
1222#538—5316no—
1223#538—5316no—
1224#535—5316no—
1225#535—5316no—
1226#535—5316no—
1227#534—5316no—
1228#534—5316no—
1229#534—5316no—
1230C2×#127—531no—
1231C2×#127—531no—
1232C2×#127—531no—
1233C2×#127—531no—
1234C2×#126—531no—
1235C2×#126—531no—
1236C2×#126—531no—
1237C2×#126—531no—
1238C2×#126—531no—
1239C2×#126—531no—
1240C2×#126—531no—
1241C2×#126—531no—
1242C2×#124—531no—
1243C2×#124—531no—
1244C2×#124—531no—
1245C2×#124—531no—
1246C2×#124—531no—
1247C2×#124—531no—
1248C2×#124—531no—
1249C2×#124—531no—
1250C2×#124—531no—
1251C2×#124—531no—
1252C2×#124—531no—
1253C2×#124C2×D5311yescharacteristic, complemented
1254C2×#123—531no—
1255C2×#123—531no—
1256C2×#123—531no—
1257C2×#123—531no—
1258C2×#123—531no—
1259C2×#123—531no—
1260C2×#123—531no—
1261C2×#123—531no—
1262C2×#123—531no—
1263C2×#123—531no—
1264C2×#123—531no—
1265C2×#123—531no—
1266C2×#123—531no—
1267C2×#123—531no—
1268C2×#123—531no—
1269C2×#123—531no—
1270C2×#123C2×D5311yescharacteristic, complemented
1271C2×#123C2×D5311yescharacteristic, complemented
1272C2×C22⋊Q8—531no—
1273C2×C22⋊Q8—531no—
1274C2×C22⋊Q8—531no—
1275C2×C22⋊Q8—531no—
1276C2×C22⋊Q8—531no—
1277C2×C22⋊Q8C2×D5311yescharacteristic, complemented
1278C2×#121—531no—
1279C2×#121—531no—
1280C2×#121—531no—
1281C2×#121—531no—
1282C2×#121—531no—
1283C2×#121—531no—
1284C2×#121—531no—
1285C2×#121—531no—
1286C2×#121—531no—
1287C2×#121—531no—
1288C2×#121—531no—
1289C2×#121—531no—
1290C2×#121—531no—
1291C2×#121—531no—
1292C2×#121—531no—
1293C2×#121—531no—
1294C2×#121—531no—
1295C2×#121—531no—
1296C2×#121—531no—
1297C2×#121—531no—
1298C2×#121—531no—
1299C2×#121—531no—
1300C2×#121—531no—
1301C2×#121—531no—
1302C2×#121—531no—
1303C2×#121—531no—
1304C2×#121—531no—
1305C2×#121C2×D5311yescharacteristic, complemented
1306C2×#121C2×D5311yescharacteristic, complemented
1307C2×#121C2×D5311yescharacteristic, complemented
1308C2×#120—531no—
1309C2×#120—531no—
1310C2×#120—531no—
1311C2×#120—531no—
1312C2×#120—531no—
1313C2×#120—531no—
1314C2×#120—531no—
1315C2×#120—531no—
1316C2×#120—531no—
1317C2×#120—531no—
1318C2×#120—531no—
1319C2×#120—531no—
1320C2×#120—531no—
1321C2×#120—531no—
1322C2×#120—531no—
1323C2×#120—531no—
1324C2×#120—5316no—
1325C2×#120—531no—
1326C2×#120—5316no—
1327C2×#120—531no—
1328C2×#120—531no—
1329C2×#120—531no—
1330C2×#120—531no—
1331C2×#120—531no—
1332C2×#120—531no—
1333C2×#120—531no—
1334C2×#120—531no—
1335C2×#120—531no—
1336C2×#120—531no—
1337C2×#120—531no—
1338C2×#120—5316no—
1339C2×#120—531no—
1340C2×#120—531no—
1341C2×#120—531no—
1342C2×#120—531no—
1343C2×#120C2×D5311yescharacteristic, complemented
1344C2×#120C2×D5311yescharacteristic, complemented
1345C2×C4×D4—531no—
1346C2×C4×D4—531no—
1347C2×C4×D4—531no—
1348C2×C4×D4—531no—
1349C2×C4×D4—531no—
1350C2×C4×D4—531no—
1351C2×C4×D4—531no—
1352C2×C4×D4—531no—
1353C2×C4×D4—531no—
1354C2×C4×D4—531no—
1355C2×C4×D4C2×D5311yescharacteristic, complemented
1356C2×C4×D4C2×D5311yescharacteristic, complemented
1357C2×#117—531no—
1358C2×#117—531no—
1359C2×#117—531no—
1360C22×C22⋊C4—531no—
1361C22×C22⋊C4—531no—
1362C22×C22⋊C4—531no—
1363C22×C22⋊C4—531no—
1364C22×C22⋊C4—531no—
1365C22×C22⋊C4—531no—
1366C22×C22⋊C4—531no—
1367C22×C22⋊C4—531no—
1368C22×C22⋊C4—531no—
1369C22×C22⋊C4—531no—
1370C22×C22⋊C4C2×D5311yescharacteristic, complemented
1371C22×C22⋊C4C2×D5311yescharacteristic, complemented
1372C53C2×#353211yescharacteristic, complemented, Sylow
1373C25—531no—
1374C25—531no—
1375C25—531no—
1376C25—531no—
1377C25—531no—
1378C25—531no—
1379C25—531no—
1380C25—531no—
1381C25—538no—
1382C25—531no—
1383C25—2124no—
1384C25—2124no—
1385C25—2124no—
1386C25C22×D5311yescharacteristic
1387C25C22×D5311yescharacteristic
1388C2×#41—44no—
1389C2×#41—538no—
1390C2×#41—538no—
1391C2×#41—2124no—
1392C2×#41—2124no—
1393C2×#41C22×D5318yescomplemented
1394C22×Q8—531no—
1395C22×Q8—531no—
1396C22×Q8C22×D5311yescharacteristic, complemented
1397C22×D4—44no—
1398C22×D4—531no—
1399C22×D4—531no—
1400C22×D4—531no—
1401C22×D4—531no—
1402C22×D4—531no—
1403C22×D4—531no—
1404C22×D4—531no—
1405C22×D4—531no—
1406C22×D4—531no—
1407C22×D4—531no—
1408C22×D4—531no—
1409C22×D4—531no—
1410C22×D4—531no—
1411C22×D4—531no—
1412C22×D4—531no—
1413C22×D4—531no—
1414C22×D4—531no—
1415C22×D4—531no—
1416C22×D4—531no—
1417C22×D4—531no—
1418C22×D4—538no—
1419C22×D4—538no—
1420C22×D4—538no—
1421C22×D4—531no—
1422C22×D4—531no—
1423C22×D4—531no—
1424C22×D4—531no—
1425C22×D4—538no—
1426C22×D4—538no—
1427C22×D4—538no—
1428C22×D4—538no—
1429C22×D4—538no—
1430C22×D4—538no—
1431C22×D4—531no—
1432C22×D4—531no—
1433C22×D4—531no—
1434C22×D4—531no—
1435C22×D4—531no—
1436C22×D4—531no—
1437C22×D4—531no—
1438C22×D4—531no—
1439C22×D4—531no—
1440C22×D4—531no—
1441C22×D4—531no—
1442C22×D4—538no—
1443C22×D4—538no—
1444C22×D4—531no—
1445C22×D4—2124no—
1446C22×D4—2124no—
1447C22×D4—2124no—
1448C22×D4—2124no—
1449C22×D4—2124no—
1450C22×D4—2124no—
1451C22×D4—2124no—
1452C22×D4—2124no—
1453C22×D4—2124no—
1454C22×D4—2124no—
1455C22×D4—2124no—
1456C22×D4C22×D5311yescharacteristic
1457C22×D4C22×D5311yescharacteristic
1458C22×D4C22×D5311yescharacteristic
1459C22×D4C22×D5311yescharacteristic
1460C22×D4C22×D5311yescharacteristic
1461C22×D4C22×D5311yescharacteristic
1462C22×D4C22×D5311yescharacteristic
1463C22×D4C22×D5318yescomplemented
1464C22×D4C22×D5311yescharacteristic, complemented
1465C22×D4C22×D5311yescharacteristic, complemented
1466C23×C4—531no—
1467C23×C4—531no—
1468C23×C4—531no—
1469C23×C4—531no—
1470C23×C4—531no—
1471C23×C4—531no—
1472C23×C4—531no—
1473C23×C4—531no—
1474C23×C4—531no—
1475C23×C4—531no—
1476C23×C4—531no—
1477C23×C4—531no—
1478C23×C4C22×D5311yescharacteristic
1479C23×C4C22×D5311yescharacteristic
1480C23×C4C22×D5311yescharacteristic
1481C23×C4C22×D5311yescharacteristic, complemented
1482C23×C4C22×D5311yescharacteristic, complemented
1483C23×C4C22×D5311yescharacteristic, complemented
1484#127—538no—
1485#127—538no—
1486#127—538no—
1487#127—538no—
1488#126—538no—
1489#126—538no—
1490#126—538no—
1491#126—538no—
1492#126—538no—
1493#126—538no—
1494#126—538no—
1495#126—538no—
1496#124—538no—
1497#124—538no—
1498#124—538no—
1499#124—538no—
1500#124—538no—
1501#124—538no—
1502#124—538no—
1503#124—538no—
1504#124—538no—
1505#124—538no—
1506#124—538no—
1507#124C22×D5318yescomplemented
1508#123—538no—
1509#123—538no—
1510#123—538no—
1511#123—538no—
1512#123—538no—
1513#123—538no—
1514#123—538no—
1515#123—538no—
1516#123—538no—
1517#123—538no—
1518#123—538no—
1519#123—538no—
1520#123—538no—
1521#123—538no—
1522#123—538no—
1523#123—538no—
1524#123C22×D5318yescomplemented
1525#123C22×D5318yescomplemented
1526C22⋊Q8—538no—
1527C22⋊Q8—538no—
1528C22⋊Q8—538no—
1529C22⋊Q8—538no—
1530C22⋊Q8—538no—
1531C22⋊Q8C22×D5318yescomplemented
1532#121—538no—
1533#121—538no—
1534#121—538no—
1535#121—538no—
1536#121—538no—
1537#121—538no—
1538#121—538no—
1539#121—538no—
1540#121—538no—
1541#121—538no—
1542#121—538no—
1543#121—538no—
1544#121—538no—
1545#121—538no—
1546#121—538no—
1547#121—538no—
1548#121—538no—
1549#121—538no—
1550#121—538no—
1551#121—538no—
1552#121—538no—
1553#121—538no—
1554#121—538no—
1555#121—538no—
1556#121—538no—
1557#121—538no—
1558#121—538no—
1559#121C22×D5318yescomplemented
1560#121C22×D5318yescomplemented
1561#121C22×D5318yescomplemented
1562#120—538no—
1563#120—538no—
1564#120—538no—
1565#120—538no—
1566#120—538no—
1567#120—538no—
1568#120—538no—
1569#120—538no—
1570#120—538no—
1571#120—538no—
1572#120—538no—
1573#120—538no—
1574#120—538no—
1575#120—538no—
1576#120—538no—
1577#120—538no—
1578#120—538no—
1579#120—538no—
1580#120—538no—
1581#120—538no—
1582#120—538no—
1583#120—538no—
1584#120—538no—
1585#120—538no—
1586#120—538no—
1587#120—538no—
1588#120—538no—
1589#120—538no—
1590#120—538no—
1591#120—538no—
1592#120—538no—
1593#120—538no—
1594#120C22×D5318yescomplemented
1595#120C22×D5318yescomplemented
1596C4×D4—538no—
1597C4×D4—538no—
1598C4×D4—538no—
1599C4×D4—538no—
1600C4×D4—538no—
1601C4×D4—538no—
1602C4×D4—538no—
1603C4×D4—538no—
1604C4×D4—538no—
1605C4×D4—538no—
1606C4×D4C22×D5318yescomplemented
1607C4×D4C22×D5318yescomplemented
1608#117—538no—
1609#117—538no—
1610#117—538no—
1611C2×C4⋊C4—531no—
1612C2×C4⋊C4—531no—
1613C2×C4⋊C4—531no—
1614C2×C4⋊C4—531no—
1615C2×C4⋊C4—531no—
1616C2×C4⋊C4—531no—
1617C2×C4⋊C4—531no—
1618C2×C4⋊C4—531no—
1619C2×C4⋊C4—531no—
1620C2×C4⋊C4—531no—
1621C2×C4⋊C4—531no—
1622C2×C4⋊C4—531no—
1623C2×C4⋊C4—531no—
1624C2×C4⋊C4—531no—
1625C2×C4⋊C4C22×D5311yescharacteristic, complemented
1626C2×C4⋊C4C22×D5311yescharacteristic, complemented
1627C2×C4⋊C4C22×D5311yescharacteristic, complemented
1628C2×C4⋊C4C22×D5311yescharacteristic, complemented
1629C2×C22⋊C4—531no—
1630C2×C22⋊C4—531no—
1631C2×C22⋊C4—531no—
1632C2×C22⋊C4—531no—
1633C2×C22⋊C4—531no—
1634C2×C22⋊C4—531no—
1635C2×C22⋊C4—531no—
1636C2×C22⋊C4—538no—
1637C2×C22⋊C4—531no—
1638C2×C22⋊C4—531no—
1639C2×C22⋊C4—531no—
1640C2×C22⋊C4—531no—
1641C2×C22⋊C4—531no—
1642C2×C22⋊C4—531no—
1643C2×C22⋊C4—531no—
1644C2×C22⋊C4—531no—
1645C2×C22⋊C4—531no—
1646C2×C22⋊C4—531no—
1647C2×C22⋊C4—531no—
1648C2×C22⋊C4—531no—
1649C2×C22⋊C4—531no—
1650C2×C22⋊C4—531no—
1651C2×C22⋊C4—531no—
1652C2×C22⋊C4—531no—
1653C2×C22⋊C4—531no—
1654C2×C22⋊C4—531no—
1655C2×C22⋊C4—531no—
1656C2×C22⋊C4—531no—
1657C2×C22⋊C4—531no—
1658C2×C22⋊C4—531no—
1659C2×C22⋊C4—531no—
1660C2×C22⋊C4—531no—
1661C2×C22⋊C4—531no—
1662C2×C22⋊C4—538no—
1663C2×C22⋊C4—538no—
1664C2×C22⋊C4—538no—
1665C2×C22⋊C4—538no—
1666C2×C22⋊C4—531no—
1667C2×C22⋊C4—531no—
1668C2×C22⋊C4—531no—
1669C2×C22⋊C4—531no—
1670C2×C22⋊C4—531no—
1671C2×C22⋊C4—531no—
1672C2×C22⋊C4—531no—
1673C2×C22⋊C4—531no—
1674C2×C22⋊C4—531no—
1675C2×C22⋊C4—531no—
1676C2×C22⋊C4—538no—
1677C2×C22⋊C4—538no—
1678C2×C22⋊C4—538no—
1679C2×C22⋊C4—538no—
1680C2×C22⋊C4—538no—
1681C2×C22⋊C4C22×D5311yescharacteristic
1682C2×C22⋊C4C22×D5311yescharacteristic
1683C2×C22⋊C4C22×D5311yescharacteristic
1684C2×C22⋊C4C22×D5311yescharacteristic
1685C2×C22⋊C4C22×D5311yescharacteristic
1686C2×C22⋊C4C22×D5311yescharacteristic
1687C2×C22⋊C4C22×D5311yescharacteristic
1688C2×C22⋊C4C22×D5318yescomplemented
1689C2×C22⋊C4C22×D5318yescomplemented
1690C2×C22⋊C4C22×D5311yescharacteristic, complemented
1691C2×C22⋊C4C22×D5311yescharacteristic, complemented
1692C2×C22⋊C4C22×D5311yescharacteristic, complemented
1693C2×C22⋊C4C22×D5311yescharacteristic, complemented
1694C2×C22⋊C4C22×D5311yescharacteristic, complemented
1695C2×C42—531no—
1696C2×C42—531no—
1697C2×C42—531no—
1698C2×C42—531no—
1699C2×C42—531no—
1700C2×C42C22×D5311yescharacteristic, complemented
1701C24—24no—
1702C24—24no—
1703C24—24no—
1704C24—42no—
1705C24—42no—
1706C24—42no—
1707C24—531no—
1708C24—531no—
1709C24—531no—
1710C24—531no—
1711C24—531no—
1712C24—531no—
1713C24—531no—
1714C24—534no—
1715C24—534no—
1716C24—534no—
1717C24—534no—
1718C24—534no—
1719C24—534no—
1720C24—534no—
1721C24—534no—
1722C24—534no—
1723C24—1064no—
1724C24—1064no—
1725C24—1064no—
1726C24—1064no—
1727C24—1064no—
1728C24—1064no—
1729C24—1064no—
1730C24—1064no—
1731C24—1064no—
1732C24—2122no—
1733C24—2122no—
1734C24—2122no—
1735C24—2122no—
1736C24—2122no—
1737C24—2122no—
1738C24—2122no—
1739C24—2122no—
1740C24—2122no—
1741C24—2122no—
1742C24—2122no—
1743C24—2122no—
1744C24—2122no—
1745C24—2122no—
1746C24—2122no—
1747C24—2122no—
1748C24—21216no—
1749C24—2122no—
1750C24—2122no—
1751C24—21216no—
1752C24—21216no—
1753C24—21264no—
1754C24C23×D5311yescharacteristic
1755C24C23×D5311yescharacteristic
1756C24C23×D5311yescharacteristic
1757C24C23×D5311yescharacteristic
1758C24C23×D5314yes—
1759C24C23×D5311yescharacteristic
1760C24C23×D5311yescharacteristic
1761C24C23×D5314yes—
1762#41—416no—
1763#41—21216no—
1764#41—21216no—
1765C2×Q8—42no—
1766C2×Q8—534no—
1767C2×Q8—534no—
1768C2×Q8—2122no—
1769C2×Q8—2122no—
1770C2×Q8C23×D5314yescomplemented
1771C2×D4—24no—
1772C2×D4—24no—
1773C2×D4—24no—
1774C2×D4—24no—
1775C2×D4—42no—
1776C2×D4—42no—
1777C2×D4—42no—
1778C2×D4—42no—
1779C2×D4—42no—
1780C2×D4—416no—
1781C2×D4—534no—
1782C2×D4—534no—
1783C2×D4—534no—
1784C2×D4—534no—
1785C2×D4—534no—
1786C2×D4—534no—
1787C2×D4—534no—
1788C2×D4—534no—
1789C2×D4—534no—
1790C2×D4—534no—
1791C2×D4—534no—
1792C2×D4—534no—
1793C2×D4—534no—
1794C2×D4—534no—
1795C2×D4—534no—
1796C2×D4—534no—
1797C2×D4—534no—
1798C2×D4—534no—
1799C2×D4—534no—
1800C2×D4—534no—
1801C2×D4—534no—
1802C2×D4—534no—
1803C2×D4—534no—
1804C2×D4—534no—
1805C2×D4—534no—
1806C2×D4—534no—
1807C2×D4—534no—
1808C2×D4—534no—
1809C2×D4—534no—
1810C2×D4—534no—
1811C2×D4—534no—
1812C2×D4—534no—
1813C2×D4—534no—
1814C2×D4—534no—
1815C2×D4—534no—
1816C2×D4—534no—
1817C2×D4—1064no—
1818C2×D4—1064no—
1819C2×D4—1064no—
1820C2×D4—1064no—
1821C2×D4—1064no—
1822C2×D4—1064no—
1823C2×D4—1064no—
1824C2×D4—1064no—
1825C2×D4—2122no—
1826C2×D4—2122no—
1827C2×D4—2122no—
1828C2×D4—2122no—
1829C2×D4—2122no—
1830C2×D4—2122no—
1831C2×D4—2122no—
1832C2×D4—21216no—
1833C2×D4—2122no—
1834C2×D4—2122no—
1835C2×D4—2122no—
1836C2×D4—21216no—
1837C2×D4—21216no—
1838C2×D4—2122no—
1839C2×D4—2122no—
1840C2×D4—2122no—
1841C2×D4—2122no—
1842C2×D4—2122no—
1843C2×D4—2122no—
1844C2×D4—2122no—
1845C2×D4—2122no—
1846C2×D4—2122no—
1847C2×D4—2122no—
1848C2×D4—2122no—
1849C2×D4—21216no—
1850C2×D4—2122no—
1851C2×D4—2122no—
1852C2×D4—2122no—
1853C2×D4—2122no—
1854C2×D4—2122no—
1855C2×D4—2122no—
1856C2×D4—2122no—
1857C2×D4—21216no—
1858C2×D4—21216no—
1859C2×D4—21216no—
1860C2×D4—21216no—
1861C2×D4—21216no—
1862C2×D4—21216no—
1863C2×D4—21216no—
1864C2×D4C23×D5314yes—
1865C2×D4C23×D5314yes—
1866C2×D4C23×D5314yes—
1867C2×D4C23×D5314yes—
1868C2×D4C23×D5314yes—
1869C2×D4C23×D5314yes—
1870C2×D4C23×D5314yes—
1871C2×D4C23×D5314yescomplemented
1872C2×D4C23×D5314yescomplemented
1873C22×C4—24no—
1874C22×C4—42no—
1875C22×C4—42no—
1876C22×C4—42no—
1877C22×C4—42no—
1878C22×C4—42no—
1879C22×C4—534no—
1880C22×C4—531no—
1881C22×C4—531no—
1882C22×C4—531no—
1883C22×C4—531no—
1884C22×C4—531no—
1885C22×C4—531no—
1886C22×C4—531no—
1887C22×C4—531no—
1888C22×C4—531no—
1889C22×C4—534no—
1890C22×C4—534no—
1891C22×C4—534no—
1892C22×C4—534no—
1893C22×C4—534no—
1894C22×C4—534no—
1895C22×C4—534no—
1896C22×C4—534no—
1897C22×C4—534no—
1898C22×C4—534no—
1899C22×C4—534no—
1900C22×C4—1064no—
1901C22×C4—1064no—
1902C22×C4—2122no—
1903C22×C4—2122no—
1904C22×C4—2122no—
1905C22×C4—2122no—
1906C22×C4—2122no—
1907C22×C4—2122no—
1908C22×C4—2122no—
1909C22×C4—2122no—
1910C22×C4—2122no—
1911C22×C4—2122no—
1912C22×C4C23×D5314yes—
1913C22×C4C23×D5311yescharacteristic
1914C22×C4C23×D5311yescharacteristic
1915C22×C4C23×D5311yescharacteristic
1916C22×C4C23×D5311yescharacteristic
1917C22×C4C23×D5311yescharacteristic
1918C22×C4C23×D5311yescharacteristic
1919C22×C4C23×D5311yescharacteristic
1920C22×C4C23×D5311yescharacteristic
1921C22×C4C23×D5311yescharacteristic
1922C22×C4C23×D5314yes—
1923C22×C4C23×D5314yes—
1924C22×C4C23×D5314yescomplemented
1925C22×C4C23×D5314yescomplemented
1926C22×C4C23×D5314yescomplemented
1927C4⋊C4—534no—
1928C4⋊C4—534no—
1929C4⋊C4—534no—
1930C4⋊C4—534no—
1931C4⋊C4—534no—
1932C4⋊C4—534no—
1933C4⋊C4—534no—
1934C4⋊C4—534no—
1935C4⋊C4—534no—
1936C4⋊C4—534no—
1937C4⋊C4—534no—
1938C4⋊C4—534no—
1939C4⋊C4—534no—
1940C4⋊C4—534no—
1941C4⋊C4C23×D5314yescomplemented
1942C4⋊C4C23×D5314yescomplemented
1943C4⋊C4C23×D5314yescomplemented
1944C4⋊C4C23×D5314yescomplemented
1945C22⋊C4—534no—
1946C22⋊C4—534no—
1947C22⋊C4—534no—
1948C22⋊C4—534no—
1949C22⋊C4—534no—
1950C22⋊C4—534no—
1951C22⋊C4—534no—
1952C22⋊C4—534no—
1953C22⋊C4—534no—
1954C22⋊C4—534no—
1955C22⋊C4—534no—
1956C22⋊C4—534no—
1957C22⋊C4—534no—
1958C22⋊C4—534no—
1959C22⋊C4—534no—
1960C22⋊C4—534no—
1961C22⋊C4—534no—
1962C22⋊C4—534no—
1963C22⋊C4—534no—
1964C22⋊C4—534no—
1965C22⋊C4—534no—
1966C22⋊C4—534no—
1967C22⋊C4—534no—
1968C22⋊C4—534no—
1969C22⋊C4—534no—
1970C22⋊C4—534no—
1971C22⋊C4—534no—
1972C22⋊C4—534no—
1973C22⋊C4—534no—
1974C22⋊C4—534no—
1975C22⋊C4—534no—
1976C22⋊C4—534no—
1977C22⋊C4—534no—
1978C22⋊C4—534no—
1979C22⋊C4—534no—
1980C22⋊C4—534no—
1981C22⋊C4—534no—
1982C22⋊C4—534no—
1983C22⋊C4—534no—
1984C22⋊C4—534no—
1985C22⋊C4—534no—
1986C22⋊C4—534no—
1987C22⋊C4C23×D5314yes—
1988C22⋊C4C23×D5314yes—
1989C22⋊C4C23×D5314yes—
1990C22⋊C4C23×D5314yes—
1991C22⋊C4C23×D5314yes—
1992C22⋊C4C23×D5314yes—
1993C22⋊C4C23×D5314yes—
1994C22⋊C4C23×D5314yescomplemented
1995C22⋊C4C23×D5314yescomplemented
1996C22⋊C4C23×D5314yescomplemented
1997C22⋊C4C23×D5314yescomplemented
1998C22⋊C4C23×D5314yescomplemented
1999C42—534no—
2000C42—534no—
2001C42—534no—
2002C42—534no—
2003C42—534no—
2004C42C23×D5314yescomplemented
2005C23—22no—
2006C23—22no—
2007C23—22no—
2008C23—22no—
2009C23—22no—
2010C23—22no—
2011C23—22no—
2012C23—22no—
2013C23—22no—
2014C23—22no—
2015C23—22no—
2016C23—28no—
2017C23—22no—
2018C23—22no—
2019C23—22no—
2020C23—22no—
2021C23—28no—
2022C23—22no—
2023C23—28no—
2024C23—44no—
2025C23—44no—
2026C23—44no—
2027C23—416no—
2028C23—88no—
2029C23—534no—
2030C23—532no—
2031C23—532no—
2032C23—532no—
2033C23—532no—
2034C23—532no—
2035C23—532no—
2036C23—532no—
2037C23—1068no—
2038C23—1068no—
2039C23—1068no—
2040C23—1068no—
2041C23—1062no—
2042C23—1062no—
2043C23—1068no—
2044C23—1062no—
2045C23—1062no—
2046C23—1062no—
2047C23—1062no—
2048C23—1062no—
2049C23—1062no—
2050C23—1062no—
2051C23—1062no—
2052C23—1062no—
2053C23—1068no—
2054C23—1068no—
2055C23—1062no—
2056C23—1062no—
2057C23—1062no—
2058C23—1062no—
2059C23—1062no—
2060C23—1062no—
2061C23—1068no—
2062C23—1068no—
2063C23—1062no—
2064C23—1062no—
2065C23—1062no—
2066C23—4248no—
2067C23—4248no—
2068C23—4248no—
2069C23—2124no—
2070C23—2124no—
2071C23—2124no—
2072C23—2124no—
2073C23—2124no—
2074C23—2124no—
2075C23—2124no—
2076C23—2124no—
2077C23—2124no—
2078C23—2124no—
2079C23—2124no—
2080C23—2124no—
2081C23—2124no—
2082C23—2124no—
2083C23—2124no—
2084C23—2124no—
2085C23—2124no—
2086C23—2124no—
2087C23—21216no—
2088C23—21216no—
2089C23—21216no—
2090C23—21216no—
2091C23—21216no—
2092C23—212128no—
2093C23—21216no—
2094C23#1313326214yes—
2095C23#1313326314yes—
2096C23C24×D5312yes—
2097C23C24×D5312yes—
2098C23C24×D5312yes—
2099C23C24×D5312yes—
2100C23C24×D5312yes—
2101C23C24×D5312yes—
2102C23C24×D5311yescharacteristic
2103Q8—44no—
2104Q8—2124no—
2105Q8—2124no—
2106D4—28no—
2107D4—28no—
2108D4—28no—
2109D4—28no—
2110D4—44no—
2111D4—44no—
2112D4—44no—
2113D4—44no—
2114D4—44no—
2115D4—1068no—
2116D4—1068no—
2117D4—1068no—
2118D4—1068no—
2119D4—1068no—
2120D4—1068no—
2121D4—1068no—
2122D4—1068no—
2123D4—2124no—
2124D4—2124no—
2125D4—2124no—
2126D4—2124no—
2127D4—2124no—
2128D4—2124no—
2129D4—2124no—
2130D4—2124no—
2131D4—2124no—
2132D4—2124no—
2133D4—2124no—
2134D4—2124no—
2135D4—2124no—
2136D4—2124no—
2137D4—2124no—
2138D4—2124no—
2139D4—2124no—
2140D4—2124no—
2141D4—2124no—
2142D4—2124no—
2143D4—2124no—
2144D4—2124no—
2145D4—2124no—
2146D4—2124no—
2147D4—2124no—
2148D4—2124no—
2149D4—2124no—
2150D4—2124no—
2151C2×C4—22no—
2152C2×C4—22no—
2153C2×C4—22no—
2154C2×C4—22no—
2155C2×C4—22no—
2156C2×C4—28no—
2157C2×C4—22no—
2158C2×C4—22no—
2159C2×C4—22no—
2160C2×C4—22no—
2161C2×C4—44no—
2162C2×C4—44no—
2163C2×C4—44no—
2164C2×C4—44no—
2165C2×C4—44no—
2166C2×C4—532no—
2167C2×C4—532no—
2168C2×C4—532no—
2169C2×C4—532no—
2170C2×C4—532no—
2171C2×C4—532no—
2172C2×C4—532no—
2173C2×C4—532no—
2174C2×C4—532no—
2175C2×C4—1068no—
2176C2×C4—1062no—
2177C2×C4—1062no—
2178C2×C4—1062no—
2179C2×C4—1062no—
2180C2×C4—1062no—
2181C2×C4—1062no—
2182C2×C4—1068no—
2183C2×C4—1062no—
2184C2×C4—1062no—
2185C2×C4—1062no—
2186C2×C4—2124no—
2187C2×C4—2124no—
2188C2×C4—2124no—
2189C2×C4—2124no—
2190C2×C4—2124no—
2191C2×C4—2124no—
2192C2×C4—2124no—
2193C2×C4—2124no—
2194C2×C4—2124no—
2195C2×C4—2124no—
2196C2×C4C24×D5312yes—
2197C2×C4C24×D5312yes—
2198C2×C4C24×D5312yes—
2199C2×C4C24×D5312yes—
2200C2×C4C24×D5312yes—
2201C2×C4C24×D5312yes—
2202C2×C4C24×D5312yes—
2203C2×C4C24×D5312yes—
2204C2×C4C24×D5312yes—
2205C22—28no—
2206C22—28no—
2207C22—22no—
2208C22—22no—
2209C22—22no—
2210C22—22no—
2211C22—22no—
2212C22—22no—
2213C22—22no—
2214C22—22no—
2215C22—22no—
2216C22—22no—
2217C22—22no—
2218C22—22no—
2219C22—22no—
2220C22—22no—
2221C22—22no—
2222C22—22no—
2223C22—416no—
2224C22—44no—
2225C22—44no—
2226C22—44no—
2227C22—44no—
2228C22—88no—
2229C22—534no—
2230C22—1068no—
2231C22—1062no—
2232C22—1062no—
2233C22—1062no—
2234C22—1062no—
2235C22—1062no—
2236C22—1062no—
2237C22—1062no—
2238C22—1062no—
2239C22—1062no—
2240C22—1062no—
2241C22—1062no—
2242C22—1062no—
2243C22—1062no—
2244C22—1062no—
2245C22—1062no—
2246C22—1062no—
2247C22—1062no—
2248C22—1062no—
2249C22—1062no—
2250C22—1062no—
2251C22—4248no—
2252C22—4248no—
2253C22—4248no—
2254C22—21216no—
2255C22—21216no—
2256C22—21216no—
2257C22—21216no—
2258C22—21216no—
2259C22—21216no—
2260C22—2124no—
2261C22—2124no—
2262C22—2124no—
2263C22—2124no—
2264C22—2124no—
2265C22—2124no—
2266C22H(5,𝔽2)×D5312yes—
2267C22C2×#1313326214yes—
2268C22C2×#1313326212yes—
2269C22C2×#1313326314yes—
2270C22C2×#1313326312yes—
2271C22C25×D5311yescharacteristic
2272C4—22no—
2273C4—22no—
2274C4—22no—
2275C4—22no—
2276C4—22no—
2277C4—22no—
2278C4—22no—
2279C4—22no—
2280C4—22no—
2281C4—1062no—
2282C4—1062no—
2283C4—1062no—
2284C4—1062no—
2285C4—1062no—
2286C4—1062no—
2287C4—1062no—
2288C4—1062no—
2289C4—1062no—
2290C2—24no—
2291C2—24no—
2292C2—42no—
2293C2—42no—
2294C2—42no—
2295C2—42no—
2296C2—1064no—
2297C2—2122no—
2298C2—2122no—
2299C2—2122no—
2300C2—2122no—
2301C2—2122no—
2302C2—2122no—
2303C2#2028886414yesdirect product factor
2304C2C2×H(5,𝔽2)×D5311yescharacteristic
2305C2C22×#1313326211yescharacteristic
2306C2C22×#1313326311yescharacteristic
subgroupG/H
centerC23C24×D53
commutator, cosocleC22×C53C26
FrattiniC22C25×D53
FittingC2×C53×#546C2
socleC23×C53C25
hypercenterC2×#546D53
hypocenterC53C2×#3532
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C23 ◁ C2×#546

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #20288864C2direct (N × H)
2. C2×#16811365C2semidirect
3. C2×#16811363C2semidirect
4. C2×#16811361C2semidirect
5. C2×#16811361C2semidirect
6. C2×#16811300C2semidirect
7. C2×#16811299C2semidirect
8. C2×#16811296C2semidirect
9. C2×#16811269C2semidirect
10. C2×#16811268C2semidirect
11. C2×#16811263C2semidirect
12. C2×#16811261C2semidirect
13. C2×#16811260C2semidirect
14. C2×#16811257C2semidirect
15. C2×D4×C22⋊D53C2semidirect
16. C2×#16811255C2semidirect
17. C2×#16811213C2semidirect
18. C2×#16811210C2semidirect
19. C2×#16811209C2semidirect
20. C2×#16811207C2semidirect
21. C2×#16811206C2semidirect
22. C2×#16811206C2semidirect
23. C2×#16811189C2semidirect
24. C2×#16811188C2semidirect
25. C2×#16811187C2semidirect
26. C2×#16811185C2semidirect
27. C2×#16811184C2semidirect
28. C2×#16811181C2semidirect
29. C22×#13133187C2semidirect
30. C22×#13133185C2semidirect
31. C2×#120×D53C2semidirect
32. C2×C53×#546C2semidirect
33. C25×D53C22semidirect
34. C22×#11719945C22semidirect
35. C22×#11719947C22semidirect
36. C23×D212C22semidirect
37. C23×D212C22semidirect
38. C23×C22⋊D53C22semidirect
39. C23×C22⋊D53C22semidirect
40. C23×C22⋊D53C22semidirect
41. C23×C22⋊D53C22semidirect
42. C22×D4×D53C22semidirect
43. C22×D4×D53C22semidirect
44. C22×D4×D53C22semidirect
45. C22×D4×D53C22semidirect
46. C22×D4×D53C22semidirect
47. #16811365C22semidirect
48. #16811363C22semidirect
49. #16811361C22semidirect
50. #16811361C22semidirect
51. #16811300C22semidirect
52. #16811299C22semidirect
53. #16811296C22semidirect
54. #16811269C22semidirect
55. #16811268C22semidirect
56. #16811263C22semidirect
57. #16811261C22semidirect
58. #16811260C22semidirect
59. #16811257C22semidirect
60. D4×C22⋊D53C22semidirect
61. #16811255C22semidirect
62. #16811213C22semidirect
63. #16811210C22semidirect
64. #16811209C22semidirect
65. #16811207C22semidirect
66. #16811206C22semidirect
67. #16811206C22semidirect
68. #16811189C22semidirect
69. #16811188C22semidirect
70. #16811187C22semidirect
71. #16811185C22semidirect
72. #16811184C22semidirect
73. #16811181C22semidirect
74. C2×#13133213C22semidirect
75. C2×#13133213C22semidirect
76. C2×#13133213C22semidirect
77. C2×#13133213C22semidirect
78. C2×#13133212C22semidirect
79. C2×#13133212C22semidirect
80. C2×#13133212C22semidirect
81. C2×#13133212C22semidirect
82. C2×#13133212C22semidirect
83. C2×#13133211C22semidirect
84. C2×#13133210C22semidirect
85. C2×#13133210C22semidirect
86. C2×#13133206C22semidirect
87. C2×#13133206C22semidirect
88. C2×#13133206C22semidirect
89. C2×#13133205C22semidirect
90. C2×#13133205C22semidirect
91. C2×#13133203C22semidirect
92. C2×#13133203C22semidirect
93. C2×#13133203C22semidirect
94. C2×#13133203C22semidirect
95. C2×#13133203C22semidirect
96. C2×#13133203C22semidirect
97. C2×#13133202C22semidirect
98. C2×#13133202C22semidirect
99. C2×#13133202C22semidirect
100. C2×#13133202C22semidirect
101. C2×#13133202C22semidirect
102. C2×#13133201C22semidirect
103. C2×#13133201C22semidirect
104. C2×#13133201C22semidirect
105. C2×#13133201C22semidirect
106. C2×#13133201C22semidirect
107. C2×#13133200C22semidirect
108. C2×#13133200C22semidirect
109. C2×#13133200C22semidirect
110. C2×#13133199C22semidirect
111. C2×#13133199C22semidirect
112. C2×#13133199C22semidirect
113. C2×#13133197C22semidirect
114. C2×#13133196C22semidirect
115. C2×#13133194C22semidirect
116. C2×#13133194C22semidirect
117. C2×#13133193C22semidirect
118. C2×#13133192C22semidirect
119. C2×#13133192C22semidirect
120. C2×#13133192C22semidirect
121. C2×#13133191C22semidirect
122. C2×#13133191C22semidirect
123. C2×#13133191C22semidirect
124. C2×#13133191C22semidirect
125. C2×#13133191C22semidirect
126. C2×#13133191C22semidirect
127. C2×#13133191C22semidirect
128. C2×#13133191C22semidirect
129. C2×#13133190C22semidirect
130. C2×#13133190C22semidirect
131. C2×#13133190C22semidirect
132. C2×#13133190C22semidirect
133. C2×#13133190C22semidirect
134. C2×#13133190C22semidirect
135. C2×#13133190C22semidirect
136. C2×#13133189C22semidirect
137. C2×#13133189C22semidirect
138. C2×#13133189C22semidirect
139. C2×#13133189C22semidirect
140. C2×#13133189C22semidirect
141. C2×#13133189C22semidirect
142. C2×#13133189C22semidirect
143. C2×#13133188C22semidirect
144. C2×#13133188C22semidirect
146. C2×#13133187C22semidirect
147. C2×#13133187C22semidirect
148. C2×#13133187C22semidirect
149. C2×#13133187C22semidirect
150. C2×#13133187C22semidirect
151. C2×#13133187C22semidirect
152. C2×#13133187C22semidirect
153. C2×#13133187C22semidirect
154. C2×#13133187C22semidirect
155. C2×#13133187C22semidirect
156. C2×#13133187C22semidirect
157. C2×#13133187C22semidirect
158. C2×#13133187C22semidirect
159. C2×#13133187C22semidirect
160. C2×#13133187C22semidirect
162. C2×#13133186C22semidirect
164. C2×#13133185C22semidirect
165. C2×#13133185C22semidirect
166. C2×#13133185C22semidirect
167. C2×#13133185C22semidirect
168. C2×#13133185C22semidirect
169. C2×#13133185C22semidirect
170. C2×#13133185C22semidirect
171. C2×#13133185C22semidirect
172. C2×#13133185C22semidirect
173. C2×#13133185C22semidirect
174. C2×#13133185C22semidirect
175. C2×#13133185C22semidirect
176. C2×#13133185C22semidirect
177. C2×#13133185C22semidirect
178. C2×#13133185C22semidirect
179. #120×D53C22semidirect
180. C2×C4×D212C22semidirect
181. C2×D4×Dic53C22semidirect
182. C2×D4×Dic53C22semidirect
183. C2×#13133179C22semidirect
184. C2×C4×C22⋊D53C22semidirect
185. C2×C4×C22⋊D53C22semidirect
186. C2×C4×C22⋊D53C22semidirect
187. C2×#13133177C22semidirect
188. C2×#13133177C22semidirect
189. C2×#13133177C22semidirect
190. C2×#13133176C22semidirect
191. C2×#13133175C22semidirect
192. C2×#13133173C22semidirect
193. C22×C22⋊Dic53C22semidirect
194. C22×#11719921C22semidirect
195. C22×#11719921C22semidirect
196. C22×#11719921C22semidirect
197. C22×#11719921C22semidirect
198. C22×#11719921C22semidirect
199. C2×C22⋊C4×D53C22semidirect
200. C2×C22⋊C4×D53C22semidirect
201. C2×C22⋊C4×D53C22semidirect
202. C2×C22⋊C4×D53C22semidirect
203. C22×#41×C53C22semidirect
204. C23×D4×C53C22semidirect
205. C53×#546C22semidirect
206. C2×#124×C53C22semidirect
207. C2×#123×C53C22semidirect
208. C2×#123×C53C22semidirect
209. C2×C22⋊Q8×C53C22semidirect
210. C2×#121×C53C22semidirect
211. C2×#121×C53C22semidirect
212. C2×#121×C53C22semidirect
213. C2×#120×C53C22semidirect
214. C2×#120×C53C22semidirect
215. C2×C4×D4×C53C22semidirect
216. C2×C4×D4×C53C22semidirect
217. C22×C22⋊C4×C53C22semidirect
218. C22×C22⋊C4×C53C22semidirect
230. C24×D53C23semidirect
231. C24×D53C23semidirect
233. C2×#11719945C23semidirect
235. C2×#11719947C23semidirect
236. C22×Dic106C23semidirect
237. C22×Dic106C23semidirect
251. C22×D212C23semidirect
252. C22×D212C23semidirect
253. C22×D212C23semidirect
276. C22×C22⋊D53C23semidirect
277. C22×C22⋊D53C23semidirect
278. C22×C22⋊D53C23semidirect
279. C22×C22⋊D53C23semidirect
280. C22×C22⋊D53C23semidirect
281. C22×C22⋊D53C23semidirect
282. C22×C22⋊D53C23semidirect
283. C22×C22⋊D53C23semidirect
284. C22×C22⋊D53C23semidirect
285. C22×C22⋊D53C23semidirect
291. C2×D4×D53C23semidirect
292. C2×D4×D53C23semidirect
293. C2×D4×D53C23semidirect
294. C2×D4×D53C23semidirect
295. C2×D4×D53C23semidirect
299. C23×Dic53C23semidirect
300. C23×Dic53C23semidirect
304. C22×C4×D53C23semidirect
305. C22×C4×D53C23semidirect
306. C22×C4×D53C23semidirect
307. C22×C4×D53C23semidirect
308. #13133213C23semidirect
309. #13133213C23semidirect
310. #13133213C23semidirect
311. #13133213C23semidirect
312. #13133212C23semidirect
313. #13133212C23semidirect
314. #13133212C23semidirect
315. #13133212C23semidirect
316. #13133212C23semidirect
317. #13133211C23semidirect
318. #13133210C23semidirect
319. #13133210C23semidirect
320. #13133206C23semidirect
321. #13133206C23semidirect
322. #13133206C23semidirect
323. #13133205C23semidirect
324. #13133205C23semidirect
325. #13133203C23semidirect
326. #13133203C23semidirect
327. #13133203C23semidirect
328. #13133203C23semidirect
329. #13133203C23semidirect
330. #13133203C23semidirect
331. #13133202C23semidirect
332. #13133202C23semidirect
333. #13133202C23semidirect
334. #13133202C23semidirect
335. #13133202C23semidirect
336. #13133201C23semidirect
337. #13133201C23semidirect
338. #13133201C23semidirect
339. #13133201C23semidirect
340. #13133201C23semidirect
341. #13133200C23semidirect
342. #13133200C23semidirect
343. #13133200C23semidirect
344. #13133199C23semidirect
345. #13133199C23semidirect
346. #13133199C23semidirect
347. #13133197C23semidirect
348. #13133196C23semidirect
349. #13133194C23semidirect
350. #13133194C23semidirect
351. #13133193C23semidirect
352. #13133192C23semidirect
353. #13133192C23semidirect
354. #13133192C23semidirect
355. #13133191C23semidirect
356. #13133191C23semidirect
357. #13133191C23semidirect
358. #13133191C23semidirect
359. #13133191C23semidirect
360. #13133191C23semidirect
361. #13133191C23semidirect
362. #13133191C23semidirect
363. #13133190C23semidirect
364. #13133190C23semidirect
365. #13133190C23semidirect
366. #13133190C23semidirect
367. #13133190C23semidirect
368. #13133190C23semidirect
369. #13133190C23semidirect
370. #13133189C23semidirect
371. #13133189C23semidirect
372. #13133189C23semidirect
373. #13133189C23semidirect
374. #13133189C23semidirect
375. #13133189C23semidirect
376. #13133189C23semidirect
377. #13133188C23semidirect
378. #13133188C23semidirect
380. #13133187C23semidirect
381. #13133187C23semidirect
382. #13133187C23semidirect
383. #13133187C23semidirect
384. #13133187C23semidirect
385. #13133187C23semidirect
386. #13133187C23semidirect
387. #13133187C23semidirect
388. #13133187C23semidirect
389. #13133187C23semidirect
390. #13133187C23semidirect
391. #13133187C23semidirect
392. #13133187C23semidirect
393. #13133187C23semidirect
395. #13133186C23semidirect
397. #13133185C23semidirect
398. #13133185C23semidirect
399. #13133185C23semidirect
400. #13133185C23semidirect
401. #13133185C23semidirect
402. #13133185C23semidirect
403. #13133185C23semidirect
404. #13133185C23semidirect
405. #13133185C23semidirect
406. #13133185C23semidirect
407. #13133185C23semidirect
408. #13133185C23semidirect
409. #13133185C23semidirect
410. #13133185C23semidirect
411. C4×D212C23semidirect
412. D4×Dic53C23semidirect
413. D4×Dic53C23semidirect
414. #13133179C23semidirect
415. C4×C22⋊D53C23semidirect
416. C4×C22⋊D53C23semidirect
417. C4×C22⋊D53C23semidirect
418. #13133177C23semidirect
419. #13133177C23semidirect
420. #13133177C23semidirect
421. #13133176C23semidirect
422. #13133175C23semidirect
423. #13133173C23semidirect
424. C2×C4⋊Dic53C23semidirect
425. C2×C4⋊Dic53C23semidirect
426. C2×C4⋊Dic53C23semidirect
427. C2×C4⋊Dic53C23semidirect
428. C2×C4⋊Dic53C23semidirect
429. C2×C4⋊Dic53C23semidirect
430. C2×#11719919C23semidirect
431. C2×#11719919C23semidirect
432. C2×#11719919C23semidirect
433. C2×#11719919C23semidirect
434. C2×#11719919C23semidirect
435. C2×#11719919C23semidirect
436. C2×#11719919C23semidirect
437. C2×#11719919C23semidirect
445. C2×C22⋊Dic53C23semidirect
446. C2×C22⋊Dic53C23semidirect
447. C2×C22⋊Dic53C23semidirect
448. C2×C22⋊Dic53C23semidirect
471. C2×#11719921C23semidirect
472. C2×#11719921C23semidirect
473. C2×#11719921C23semidirect
474. C2×#11719921C23semidirect
475. C2×#11719921C23semidirect
476. C2×#11719921C23semidirect
477. C2×#11719921C23semidirect
478. C2×#11719921C23semidirect
479. C2×#11719921C23semidirect
480. C2×#11719921C23semidirect
481. C2×#11719921C23semidirect
482. C2×#11719921C23semidirect
483. C2×#11719921C23semidirect
484. C2×#11719921C23semidirect
485. C2×#11719921C23semidirect
486. C22⋊C4×D53C23semidirect
487. C22⋊C4×D53C23semidirect
488. C22⋊C4×D53C23semidirect
489. C22⋊C4×D53C23semidirect
490. C2×C4×Dic53C23semidirect
491. C2×C4×Dic53C23semidirect
492. C2×C4×Dic53C23semidirect
493. C2×C4×Dic53C23semidirect
494. C2×C4×Dic53C23semidirect
498. C2×#41×C53C23semidirect
499. C22×Q8×C53C23semidirect
508. C22×D4×C53C23semidirect
509. C22×D4×C53C23semidirect
510. C22×D4×C53C23semidirect
514. C23×C4×C53C23semidirect
515. C23×C4×C53C23semidirect
516. C23×C4×C53C23semidirect
517. #124×C53C23semidirect
518. #123×C53C23semidirect
519. #123×C53C23semidirect
520. C22⋊Q8×C53C23semidirect
521. #121×C53C23semidirect
522. #121×C53C23semidirect
523. #121×C53C23semidirect
524. #120×C53C23semidirect
525. #120×C53C23semidirect
526. C4×D4×C53C23semidirect
527. C4×D4×C53C23semidirect
528. C2×C4⋊C4×C53C23semidirect
529. C2×C4⋊C4×C53C23semidirect
530. C2×C4⋊C4×C53C23semidirect
531. C2×C4⋊C4×C53C23semidirect
539. C2×C22⋊C4×C53C23semidirect
540. C2×C22⋊C4×C53C23semidirect
541. C2×C22⋊C4×C53C23semidirect
542. C2×C22⋊C4×C53C23semidirect
543. C2×C22⋊C4×C53C23semidirect
544. C2×C22⋊C4×C53C23semidirect
545. C2×C22⋊C4×C53C23semidirect
546. C2×C42×C53C23semidirect
607. C23×D53C24semidirect
610. C2×Q8×C53C24semidirect
628. C2×D4×C53C24semidirect
629. C2×D4×C53C24semidirect
648. C22×C4×C53C24semidirect
649. C22×C4×C53C24semidirect
650. C22×C4×C53C24semidirect
697. C2×C22⋊D53C24semidirect
698. C2×C22⋊D53C24semidirect
699. C2×C22⋊D53C24semidirect
700. C2×C22⋊D53C24semidirect
701. C2×C22⋊D53C24semidirect
702. C2×C22⋊D53C24semidirect
720. C22×Dic53C24semidirect
721. C22×Dic53C24semidirect
754. C2×D212C24semidirect
765. C2×C4×D53C24semidirect
766. C2×C4×D53C24semidirect
767. C2×C4×D53C24semidirect
768. C2×C4×D53C24semidirect
771. C2×Dic106C24semidirect
772. C2×Dic106C24semidirect
773. C4⋊C4×C53C24semidirect
774. C4⋊C4×C53C24semidirect
775. C4⋊C4×C53C24semidirect
776. C4⋊C4×C53C24semidirect
784. C22⋊C4×C53C24semidirect
785. C22⋊C4×C53C24semidirect
786. C22⋊C4×C53C24semidirect
787. C22⋊C4×C53C24semidirect
788. C22⋊C4×C53C24semidirect
789. C42×C53C24semidirect
797. C22⋊Dic53C24semidirect
798. C22⋊Dic53C24semidirect
799. C22⋊Dic53C24semidirect
822. #11719921C24semidirect
823. #11719921C24semidirect
824. #11719921C24semidirect
825. #11719921C24semidirect
826. #11719921C24semidirect
827. #11719921C24semidirect
828. #11719921C24semidirect
829. #11719921C24semidirect
830. #11719921C24semidirect
831. #11719921C24semidirect
832. C4⋊Dic53C24semidirect
833. C4⋊Dic53C24semidirect
834. C4⋊Dic53C24semidirect
835. C4⋊Dic53C24semidirect
836. C4⋊Dic53C24semidirect
837. C4⋊Dic53C24semidirect
838. #11719919C24semidirect
839. #11719919C24semidirect
840. #11719919C24semidirect
841. #11719919C24semidirect
842. #11719919C24semidirect
843. #11719919C24semidirect
844. #11719919C24semidirect
845. #11719919C24semidirect
846. C4×Dic53C24semidirect
847. C4×Dic53C24semidirect
848. C4×Dic53C24semidirect
849. C4×Dic53C24semidirect
850. C4×Dic53C24semidirect
1150. C2×#546D53semidirect
1175. C2×C53#3532semidirect
1189. C22×#41C2×D53semidirect
1201. C23×D4C2×D53semidirect
1214. #546C2×D53semidirect
1253. C2×#124C2×D53semidirect
1270. C2×#123C2×D53semidirect
1271. C2×#123C2×D53semidirect
1277. C2×C22⋊Q8C2×D53semidirect
1305. C2×#121C2×D53semidirect
1306. C2×#121C2×D53semidirect
1307. C2×#121C2×D53semidirect
1343. C2×#120C2×D53semidirect
1344. C2×#120C2×D53semidirect
1355. C2×C4×D4C2×D53semidirect
1356. C2×C4×D4C2×D53semidirect
1370. C22×C22⋊C4C2×D53semidirect
1371. C22×C22⋊C4C2×D53semidirect
1372. C53C2×#3532semidirect
1393. C2×#41C22×D53semidirect
1396. C22×Q8C22×D53semidirect
1463. C22×D4C22×D53semidirect
1464. C22×D4C22×D53semidirect
1465. C22×D4C22×D53semidirect
1481. C23×C4C22×D53semidirect
1482. C23×C4C22×D53semidirect
1483. C23×C4C22×D53semidirect
1507. #124C22×D53semidirect
1524. #123C22×D53semidirect
1525. #123C22×D53semidirect
1531. C22⋊Q8C22×D53semidirect
1559. #121C22×D53semidirect
1560. #121C22×D53semidirect
1561. #121C22×D53semidirect
1594. #120C22×D53semidirect
1595. #120C22×D53semidirect
1606. C4×D4C22×D53semidirect
1607. C4×D4C22×D53semidirect
1625. C2×C4⋊C4C22×D53semidirect
1626. C2×C4⋊C4C22×D53semidirect
1627. C2×C4⋊C4C22×D53semidirect
1628. C2×C4⋊C4C22×D53semidirect
1688. C2×C22⋊C4C22×D53semidirect
1689. C2×C22⋊C4C22×D53semidirect
1690. C2×C22⋊C4C22×D53semidirect
1691. C2×C22⋊C4C22×D53semidirect
1692. C2×C22⋊C4C22×D53semidirect
1693. C2×C22⋊C4C22×D53semidirect
1694. C2×C22⋊C4C22×D53semidirect
1700. C2×C42C22×D53semidirect
1770. C2×Q8C23×D53semidirect
1871. C2×D4C23×D53semidirect
1872. C2×D4C23×D53semidirect
1924. C22×C4C23×D53semidirect
1925. C22×C4C23×D53semidirect
1926. C22×C4C23×D53semidirect
1941. C4⋊C4C23×D53semidirect
1942. C4⋊C4C23×D53semidirect
1943. C4⋊C4C23×D53semidirect
1944. C4⋊C4C23×D53semidirect
1994. C22⋊C4C23×D53semidirect
1995. C22⋊C4C23×D53semidirect
1996. C22⋊C4C23×D53semidirect
1997. C22⋊C4C23×D53semidirect
1998. C22⋊C4C23×D53semidirect
2004. C42C23×D53semidirect
2303. C2#20288864direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#202888642
C2×#168113652
C2×#168113632
C2×#168113612
C2×#168113002
C2×#168112992
C2×#168112962
C2×#168112692
C2×#168112682
C2×#168112632
C2×#168112612
C2×#168112602
C2×#168112572
C2×D4×C22⋊D532
C2×#168112552
C2×#168112132
C2×#168112102
C2×#168112092
C2×#168112072
C2×#168112062
C2×#168111892
C2×#168111882
C2×#168111872
C2×#168111852
C2×#168111842
C2×#168111812
C22×#131331872
C22×#131331852
C2×#120×D532
C2×C53×#5462
C2×#353253