Finite Group Databasebeta

← C2×#21459840 #30588005

Subgroups — C2×#21459840 #30588005

Order 15616.

8774 conjugacy classes of subgroups.

The subgroup lattice has 2192 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459840C2132yesmaximal, direct product factor
2C2×#16840474C211yesmaximal, characteristic, complemented
3C2×#16840466C211yesmaximal, characteristic, complemented
4C2×#16840461C211yesmaximal, characteristic, complemented
5C2×#16840461C211yesmaximal, characteristic, complemented
6C2×#16840457C211yesmaximal, characteristic, complemented
7C2×#16840455C211yesmaximal, characteristic, complemented
8C2×#16840430C211yesmaximal, characteristic, complemented
9C2×#16840404C211yesmaximal, characteristic, complemented
10C2×#16840402C211yesmaximal, characteristic, complemented
11C2×#16840402C211yesmaximal, characteristic, complemented
12C2×#16840401C211yesmaximal, characteristic, complemented
13C2×#16840400C211yesmaximal, characteristic, complemented
14C2×D4×C22⋊D61C211yesmaximal, characteristic, complemented
15C2×#16840394C211yesmaximal, characteristic, complemented
16C2×#16840394C211yesmaximal, characteristic, complemented
17C2×#16840364C211yesmaximal, characteristic, complemented
18C2×#16840362C211yesmaximal, characteristic, complemented
19C2×#16840352C211yesmaximal, characteristic, complemented
20C2×#16840347C211yesmaximal, characteristic, complemented
21C2×#16840346C211yesmaximal, characteristic, complemented
22C2×#16840344C211yesmaximal, characteristic, complemented
23C2×#16840308C211yesmaximal, characteristic, complemented
24C2×#16840289C211yesmaximal, characteristic, complemented
25C2×#16840271C211yesmaximal, characteristic, complemented
26C2×#16840268C211yesmaximal, characteristic, complemented
27C22×#14519749C211yesmaximal, characteristic, complemented
28C2×#121×D61C211yesmaximal, characteristic, complemented
29C2×#16840235C211yesmaximal, characteristic, complemented
30C2×#16840234C211yesmaximal, characteristic, complemented
31C22×#14519737C211yesmaximal, characteristic, complemented
32C2×C61×#546C211yesmaximal, characteristic, complemented
33C22×#11758222C2211yescharacteristic, complemented
34C22×#11758222C2211yescharacteristic, complemented
35C22×#11758224C2211yescharacteristic, complemented
36C23×C22⋊D61C2211yescharacteristic
37C23×C22⋊D61C2211yescharacteristic
38C23×C22⋊D61C2211yescharacteristic, complemented
39C23×C22⋊D61C2211yescharacteristic, complemented
40C22×D4×D61C2211yescharacteristic
41C22×D4×D61C2211yescharacteristic, complemented
42C22×D4×D61C2211yescharacteristic, complemented
43C22×D4×D61C2211yescharacteristic, complemented
44C24×Dic61C2211yescharacteristic, complemented
45C23×C4×D61C2211yescharacteristic, complemented
46#16840474C22116yescomplemented
47#16840466C22116yescomplemented
48#16840461C22116yescomplemented
49#16840461C22116yescomplemented
50#16840457C22116yescomplemented
51#16840455C22116yescomplemented
52#16840430C22116yescomplemented
53#16840404C22116yescomplemented
54#16840402C22116yescomplemented
55#16840402C22116yescomplemented
56#16840401C22116yescomplemented
57#16840400C22116yescomplemented
58D4×C22⋊D61C22116yescomplemented
59#16840394C22116yescomplemented
60#16840394C22116yescomplemented
61#16840364C22116yescomplemented
62#16840362C22116yescomplemented
63#16840352C22116yescomplemented
64#16840347C22116yescomplemented
65#16840346C22116yescomplemented
66#16840344C22116yescomplemented
67#16840308C22116yescomplemented
68C2×#14519775C2211yescharacteristic, complemented
69C2×#14519773C2211yescharacteristic, complemented
70C2×#14519773C2211yescharacteristic, complemented
71C2×#14519773C2211yescharacteristic, complemented
72#16840289C22116yescomplemented
73C2×#14519772C2211yescharacteristic, complemented
74C2×#14519772C2211yescharacteristic, complemented
75C2×#14519771C2211yescharacteristic, complemented
76C2×#14519770C2211yescharacteristic, complemented
77C2×#14519770C2211yescharacteristic, complemented
78C2×#14519770C2211yescharacteristic, complemented
79C2×#14519767C2211yescharacteristic, complemented
80C2×#14519767C2211yescharacteristic, complemented
81C2×#14519767C2211yescharacteristic, complemented
82C2×#14519766C2211yescharacteristic, complemented
83C2×#14519766C2211yescharacteristic, complemented
84C2×#14519764C2211yescharacteristic, complemented
85C2×#14519763C2211yescharacteristic, complemented
86C2×#14519763C2211yescharacteristic, complemented
87C2×#14519763C2211yescharacteristic, complemented
88#16840271C22116yescomplemented
89#16840268C22116yescomplemented
90C2×#14519762C2211yescharacteristic, complemented
91C2×#14519762C2211yescharacteristic, complemented
92C2×#14519762C2211yescharacteristic, complemented
93C2×#14519761C2211yescharacteristic, complemented
94C2×#14519760C2211yescharacteristic, complemented
95C2×#14519760C2211yescharacteristic, complemented
96C2×#14519760C2211yescharacteristic, complemented
97C2×#14519759C2211yescharacteristic, complemented
98C2×#14519759C2211yescharacteristic, complemented
99C2×#14519759C2211yescharacteristic, complemented
100C2×#14519758C2211yescharacteristic, complemented
101C2×#14519758C2211yescharacteristic, complemented
102C2×#14519755C2211yescharacteristic, complemented
103C2×#14519755C2211yescharacteristic, complemented
104C2×#14519754C2211yescharacteristic, complemented
105C2×#14519754C2211yescharacteristic, complemented
106C2×#14519754C2211yescharacteristic, complemented
107C2×#14519753C2211yescharacteristic, complemented
108C2×#14519752C2211yescharacteristic, complemented
109C2×#14519752C2211yescharacteristic, complemented
110C2×#14519751C2211yescharacteristic, complemented
111C2×#14519751C2211yescharacteristic, complemented
112C2×#14519751C2211yescharacteristic, complemented
113C2×#14519750C2211yescharacteristic, complemented
114C2×#14519750C2211yescharacteristic, complemented
115C2×#14519750C2211yescharacteristic, complemented
116C2×#14519750C2211yescharacteristic, complemented
117C2×#14519750C2211yescharacteristic, complemented
118C2×#14519750C2211yescharacteristic, complemented
119C2×#14519750C2211yescharacteristic, complemented
120C2×#14519750C2211yescharacteristic, complemented
121C2×#14519750C2211yescharacteristic, complemented
122C2×#14519749C2211yescharacteristic
123C2×#14519749C2211yescharacteristic, complemented
124C2×#14519749C2211yescharacteristic, complemented
125C2×#14519749C2211yescharacteristic, complemented
126C2×#14519749C2211yescharacteristic, complemented
127C2×#14519749C2211yescharacteristic, complemented
128C2×#14519749C2211yescharacteristic, complemented
129C2×#14519749C2211yescharacteristic, complemented
130C2×#14519749C2211yescharacteristic, complemented
131C2×#14519749C2211yescharacteristic, complemented
132C2×#14519749C2211yescharacteristic, complemented
133C2×#14519749C2211yescharacteristic, complemented
134C2×#14519749C2211yescharacteristic, complemented
135C2×#14519749C2211yescharacteristic, complemented
136C2×#14519749C2211yescharacteristic, complemented
137C2×#14519749C2211yescharacteristic, complemented
138C2×#14519749C22116yescomplemented
139C2×#14519748C2211yescharacteristic, complemented
140C2×#14519748C2211yescharacteristic, complemented
141#121×D61C22116yescomplemented
142C2×#14519747C2211yescharacteristic, complemented
143C2×#14519747C2211yescharacteristic, complemented
144C2×#14519747C2211yescharacteristic, complemented
145C2×#14519747C2211yescharacteristic, complemented
146C2×#14519746C2211yescharacteristic, complemented
147C2×#14519746C2211yescharacteristic, complemented
148C2×#14519745C2211yescharacteristic, complemented
149C2×#14519745C2211yescharacteristic, complemented
150C2×#14519745C2211yescharacteristic, complemented
151C2×#14519745C2211yescharacteristic, complemented
152#16840235C22116yescomplemented
153#16840234C22116yescomplemented
154C2×#14519742C2211yescharacteristic, complemented
155C2×C4×D244C2211yescharacteristic, complemented
156C2×D4×Dic61C2211yescharacteristic, complemented
157C2×D4×Dic61C2211yescharacteristic, complemented
158C2×D4×Dic61C2211yescharacteristic, complemented
159C2×#14519739C2211yescharacteristic, complemented
160C2×C4×C22⋊D61C2211yescharacteristic
161C2×C4×C22⋊D61C2211yescharacteristic, complemented
162C2×C4×C22⋊D61C2211yescharacteristic, complemented
163C2×C4×C22⋊D61C2211yescharacteristic, complemented
164C2×C4×C22⋊D61C2211yescharacteristic, complemented
165C2×C4×C22⋊D61C2211yescharacteristic, complemented
166C2×C4×C22⋊D61C2211yescharacteristic, complemented
167C2×C4×C22⋊D61C2211yescharacteristic, complemented
168C2×C4×C22⋊D61C2211yescharacteristic, complemented
169C2×#14519737C2211yescharacteristic
170C2×#14519737C2211yescharacteristic
171C2×#14519737C2211yescharacteristic
172C2×#14519737C2211yescharacteristic, complemented
173C2×#14519737C2211yescharacteristic, complemented
174C2×#14519737C2211yescharacteristic, complemented
175C2×#14519737C2211yescharacteristic, complemented
176C2×#14519737C2211yescharacteristic, complemented
177C2×#14519737C2211yescharacteristic, complemented
178C2×#14519737C2211yescharacteristic, complemented
179C2×#14519737C2211yescharacteristic, complemented
180C2×#14519737C2211yescharacteristic, complemented
181C2×#14519737C2211yescharacteristic, complemented
182C2×#14519737C2211yescharacteristic, complemented
183C2×#14519737C2211yescharacteristic, complemented
184C2×#14519737C22116yescomplemented
185C2×#14519735C2211yescharacteristic, complemented
186C2×#14519734C2211yescharacteristic, complemented
187C2×#14519734C2211yescharacteristic, complemented
188C2×#14519733C2211yescharacteristic, complemented
189C2×#14519733C2211yescharacteristic, complemented
190C2×#14519733C2211yescharacteristic, complemented
191C22×#11758196C2211yescharacteristic, complemented
192C22×#11758196C2211yescharacteristic, complemented
193C2×C4⋊C4×D61C2211yescharacteristic, complemented
194C22×C22⋊Dic61C2211yescharacteristic, complemented
195C22×#11758198C2211yescharacteristic, complemented
196C22×#11758198C2211yescharacteristic, complemented
197C22×#11758198C2211yescharacteristic, complemented
198C2×C22⋊C4×D61C2211yescharacteristic, complemented
199C2×C22⋊C4×D61C2211yescharacteristic, complemented
200C2×C22⋊C4×D61C2211yescharacteristic, complemented
201C2×C22⋊C4×D61C2211yescharacteristic, complemented
202C22×C4×Dic61C2211yescharacteristic, complemented
203C22×#41×C61C2211yescharacteristic, complemented
204C23×D4×C61C2211yescharacteristic, complemented
205C61×#546C22116yescomplemented
206C2×#124×C61C2211yescharacteristic, complemented
207C2×#123×C61C2211yescharacteristic, complemented
208C2×#123×C61C2211yescharacteristic, complemented
209C2×C22⋊Q8×C61C2211yescharacteristic, complemented
210C2×#121×C61C2211yescharacteristic, complemented
211C2×#121×C61C2211yescharacteristic, complemented
212C2×#121×C61C2211yescharacteristic, complemented
213C2×#120×C61C2211yescharacteristic, complemented
214C2×#120×C61C2211yescharacteristic, complemented
215C2×C4×D4×C61C2211yescharacteristic, complemented
216C2×C4×D4×C61C2211yescharacteristic, complemented
217C22×C22⋊C4×C61C2211yescharacteristic, complemented
218C22×C22⋊C4×C61C2211yescharacteristic, complemented
219C24×D61C2311yescharacteristic
220C24×D61C2311yescharacteristic
221C24×D61C2311yescharacteristic
222C24×D61C2311yescharacteristic
223C2×#11758222—44no—
224C2×#11758222—44no—
225C2×#11758222C2318yescomplemented
226C2×#11758222C2318yescomplemented
227C2×#11758224—44no—
228C2×#11758224C2318yescomplemented
229C22×Dic122C2311yescharacteristic
230C22×Dic122C2311yescharacteristic
231C22×D244C2311yescharacteristic
232C22×D244C2311yescharacteristic
233C22×D244C2311yescharacteristic
234C22×D244C2311yescharacteristic
235C22×D244C2311yescharacteristic
236C22×D244C2311yescharacteristic
237C22×C22⋊D61—28no—
238C22×C22⋊D61—28no—
239C22×C22⋊D61—44no—
240C22×C22⋊D61—44no—
241C22×C22⋊D61C2311yescharacteristic
242C22×C22⋊D61C2311yescharacteristic
243C22×C22⋊D61C2311yescharacteristic
244C22×C22⋊D61C2311yescharacteristic
245C22×C22⋊D61C2318yes—
246C22×C22⋊D61C2311yescharacteristic
247C22×C22⋊D61C2311yescharacteristic
248C22×C22⋊D61C2311yescharacteristic
249C22×C22⋊D61C2311yescharacteristic
250C22×C22⋊D61C2311yescharacteristic
251C22×C22⋊D61C2311yescharacteristic
252C22×C22⋊D61C2311yescharacteristic
253C22×C22⋊D61C2311yescharacteristic
254C22×C22⋊D61C2311yescharacteristic
255C22×C22⋊D61C2318yes—
256C22×C22⋊D61C2311yescharacteristic
257C22×C22⋊D61C2311yescharacteristic
258C22×C22⋊D61C2311yescharacteristic
259C22×C22⋊D61C2311yescharacteristic
260C22×C22⋊D61C2311yescharacteristic
261C22×C22⋊D61C2311yescharacteristic
262C22×C22⋊D61C2311yescharacteristic
263C22×C22⋊D61C2311yescharacteristic
264C22×C22⋊D61C2311yescharacteristic
265C22×C22⋊D61C2318yescomplemented
266C22×C22⋊D61C2318yescomplemented
267C2×D4×D61—28no—
268C2×D4×D61—44no—
269C2×D4×D61—44no—
270C2×D4×D61—44no—
271C2×D4×D61C2318yes—
272C2×D4×D61C2318yescomplemented
273C2×D4×D61C2318yescomplemented
274C2×D4×D61C2318yescomplemented
275C23×Dic61—44no—
276C23×Dic61C2311yescharacteristic
277C23×Dic61C2311yescharacteristic
278C23×Dic61C2311yescharacteristic
279C23×Dic61C2311yescharacteristic
280C23×Dic61C2311yescharacteristic
281C23×Dic61C2311yescharacteristic
282C23×Dic61C2311yescharacteristic
283C23×Dic61C2311yescharacteristic
284C23×Dic61C2311yescharacteristic
285C23×Dic61C2311yescharacteristic
286C23×Dic61C2318yescomplemented
287C22×C4×D61—44no—
288C22×C4×D61C2311yescharacteristic
289C22×C4×D61C2311yescharacteristic
290C22×C4×D61C2311yescharacteristic
291C22×C4×D61C2311yescharacteristic
292C22×C4×D61C2311yescharacteristic
293C22×C4×D61C2311yescharacteristic
294C22×C4×D61C2311yescharacteristic
295C22×C4×D61C2311yescharacteristic
296C22×C4×D61C2311yescharacteristic
297C22×C4×D61C2311yescharacteristic
298C22×C4×D61C2311yescharacteristic
299C22×C4×D61C2318yescomplemented
300#14519775C2318yescomplemented
301#14519773C2318yescomplemented
302#14519773C2318yescomplemented
303#14519773C2318yescomplemented
304#14519772C2318yescomplemented
305#14519772C2318yescomplemented
306#14519771C2318yescomplemented
307#14519770C2318yescomplemented
308#14519770C2318yescomplemented
309#14519770C2318yescomplemented
310#14519767C2318yescomplemented
311#14519767C2318yescomplemented
312#14519767C2318yescomplemented
313#14519766C2318yescomplemented
314#14519766C2318yescomplemented
315#14519764C2318yescomplemented
316#14519763C2318yescomplemented
317#14519763C2318yescomplemented
318#14519763C2318yescomplemented
319#14519762C2318yescomplemented
320#14519762C2318yescomplemented
321#14519762C2318yescomplemented
322#14519761C2318yescomplemented
323#14519760C2318yescomplemented
324#14519760C2318yescomplemented
325#14519760C2318yescomplemented
326#14519759C2318yescomplemented
327#14519759C2318yescomplemented
328#14519759C2318yescomplemented
329#14519758C2318yescomplemented
330#14519758C2318yescomplemented
331#14519755C2318yescomplemented
332#14519755C2318yescomplemented
333#14519754C2318yescomplemented
334#14519754C2318yescomplemented
335#14519754C2318yescomplemented
336#14519753C2318yescomplemented
337#14519752C2318yescomplemented
338#14519752C2318yescomplemented
339#14519751C2318yescomplemented
340#14519751C2318yescomplemented
341#14519751C2318yescomplemented
342#14519750C2318yescomplemented
343#14519750C2318yescomplemented
344#14519750C2318yescomplemented
345#14519750C2318yescomplemented
346#14519750C2318yescomplemented
347#14519750C2318yescomplemented
348#14519750C2318yescomplemented
349#14519750C2318yescomplemented
350#14519750C2318yescomplemented
351#14519749C2318yes—
352#14519749C2318yescomplemented
353#14519749C2318yescomplemented
354#14519749C2318yescomplemented
355#14519749C2318yescomplemented
356#14519749C2318yescomplemented
357#14519749C2318yescomplemented
358#14519749C2318yescomplemented
359#14519749C2318yescomplemented
360#14519749C2318yescomplemented
361#14519749C2318yescomplemented
362#14519749C2318yescomplemented
363#14519749C2318yescomplemented
364#14519749C2318yescomplemented
365#14519749C2318yescomplemented
366#14519749C2318yescomplemented
367#14519748C2318yescomplemented
368#14519748C2318yescomplemented
369#14519747C2318yescomplemented
370#14519747C2318yescomplemented
371#14519747C2318yescomplemented
372#14519747C2318yescomplemented
373#14519746C2318yescomplemented
374#14519746C2318yescomplemented
375#14519745C2318yescomplemented
376#14519745C2318yescomplemented
377#14519745C2318yescomplemented
378#14519745C2318yescomplemented
379#14519742C2318yescomplemented
380C4×D244C2318yescomplemented
381D4×Dic61C2318yescomplemented
382D4×Dic61C2318yescomplemented
383D4×Dic61C2318yescomplemented
384#14519739C2318yescomplemented
385C4×C22⋊D61C2318yes—
386C4×C22⋊D61C2318yescomplemented
387C4×C22⋊D61C2318yescomplemented
388C4×C22⋊D61C2318yescomplemented
389C4×C22⋊D61C2318yescomplemented
390C4×C22⋊D61C2318yescomplemented
391C4×C22⋊D61C2318yescomplemented
392C4×C22⋊D61C2318yescomplemented
393C4×C22⋊D61C2318yescomplemented
394#14519737C2318yes—
395#14519737C2318yes—
396#14519737C2318yes—
397#14519737C2318yescomplemented
398#14519737C2318yescomplemented
399#14519737C2318yescomplemented
400#14519737C2318yescomplemented
401#14519737C2318yescomplemented
402#14519737C2318yescomplemented
403#14519737C2318yescomplemented
404#14519737C2318yescomplemented
405#14519737C2318yescomplemented
406#14519737C2318yescomplemented
407#14519737C2318yescomplemented
408#14519737C2318yescomplemented
409#14519735C2318yescomplemented
410#14519734C2318yescomplemented
411#14519734C2318yescomplemented
412#14519733C2318yescomplemented
413#14519733C2318yescomplemented
414#14519733C2318yescomplemented
415C2×C4⋊Dic61C2311yescharacteristic
416C2×C4⋊Dic61C2311yescharacteristic
417C2×C4⋊Dic61C2311yescharacteristic
418C2×C4⋊Dic61C2311yescharacteristic
419C2×#11758196C2311yescharacteristic
420C2×#11758196C2311yescharacteristic
421C2×#11758196C2311yescharacteristic
422C2×#11758196C2311yescharacteristic
423C2×#11758196C2311yescharacteristic
424C2×#11758196C2311yescharacteristic
425C2×#11758196C2311yescharacteristic
426C2×#11758196C2311yescharacteristic
427C2×#11758196C2311yescharacteristic
428C2×#11758196C2311yescharacteristic
429C2×#11758196C2311yescharacteristic
430C2×#11758196C2311yescharacteristic
431C2×#11758196C2311yescharacteristic
432C2×#11758196C2311yescharacteristic
433C2×#11758196C2311yescharacteristic
434C2×#11758196C2311yescharacteristic
435C2×#11758196C2311yescharacteristic
436C2×#11758196C2311yescharacteristic
437C2×#11758196C2318yescomplemented
438C2×#11758196C2318yescomplemented
439C4⋊C4×D61C2318yescomplemented
440C2×C22⋊Dic61C2311yescharacteristic
441C2×C22⋊Dic61C2311yescharacteristic
442C2×C22⋊Dic61C2311yescharacteristic
443C2×C22⋊Dic61C2311yescharacteristic
444C2×C22⋊Dic61C2311yescharacteristic
445C2×C22⋊Dic61C2311yescharacteristic
446C2×C22⋊Dic61C2311yescharacteristic
447C2×C22⋊Dic61C2311yescharacteristic
448C2×C22⋊Dic61C2311yescharacteristic
449C2×C22⋊Dic61C2311yescharacteristic
450C2×C22⋊Dic61C2311yescharacteristic
451C2×C22⋊Dic61C2311yescharacteristic
452C2×C22⋊Dic61C2318yescomplemented
453C2×#11758198C2311yescharacteristic
454C2×#11758198C2311yescharacteristic
455C2×#11758198C2311yescharacteristic
456C2×#11758198C2311yescharacteristic
457C2×#11758198C2311yescharacteristic
458C2×#11758198C2311yescharacteristic
459C2×#11758198C2311yescharacteristic
460C2×#11758198C2311yescharacteristic
461C2×#11758198C2311yescharacteristic
462C2×#11758198C2311yescharacteristic
463C2×#11758198C2311yescharacteristic
464C2×#11758198C2311yescharacteristic
465C2×#11758198C2311yescharacteristic
466C2×#11758198C2311yescharacteristic
467C2×#11758198C2311yescharacteristic
468C2×#11758198C2311yescharacteristic
469C2×#11758198C2311yescharacteristic
470C2×#11758198C2311yescharacteristic
471C2×#11758198C2311yescharacteristic
472C2×#11758198C2311yescharacteristic
473C2×#11758198C2311yescharacteristic
474C2×#11758198C2311yescharacteristic
475C2×#11758198C2318yescomplemented
476C2×#11758198C2318yescomplemented
477C2×#11758198C2318yescomplemented
478C22⋊C4×D61C2318yescomplemented
479C22⋊C4×D61C2318yescomplemented
480C22⋊C4×D61C2318yescomplemented
481C22⋊C4×D61C2318yescomplemented
482C2×C4×Dic61C2311yescharacteristic
483C2×C4×Dic61C2311yescharacteristic
484C2×C4×Dic61C2311yescharacteristic
485C2×C4×Dic61C2311yescharacteristic
486C2×C4×Dic61C2311yescharacteristic
487C2×C4×Dic61C2311yescharacteristic
488C2×C4×Dic61C2311yescharacteristic
489C2×C4×Dic61C2311yescharacteristic
490C2×C4×Dic61C2311yescharacteristic
491C2×C4×Dic61C2318yescomplemented
492C25×C61C2311yescharacteristic
493C25×C61C2311yescharacteristic
494C2×#41×C61—44no—
495C2×#41×C61C2318yescomplemented
496C22×Q8×C61C2311yescharacteristic
497C22×D4×C61—44no—
498C22×D4×C61C2311yescharacteristic
499C22×D4×C61C2311yescharacteristic
500C22×D4×C61C2311yescharacteristic
501C22×D4×C61C2311yescharacteristic
502C22×D4×C61C2311yescharacteristic
503C22×D4×C61C2311yescharacteristic
504C22×D4×C61C2311yescharacteristic
505C22×D4×C61C2311yescharacteristic
506C22×D4×C61C2311yescharacteristic
507C22×D4×C61C2318yescomplemented
508C23×C4×C61C2311yescharacteristic
509C23×C4×C61C2311yescharacteristic
510C23×C4×C61C2311yescharacteristic
511C23×C4×C61C2311yescharacteristic
512C23×C4×C61C2311yescharacteristic
513C23×C4×C61C2311yescharacteristic
514#124×C61C2318yescomplemented
515#123×C61C2318yescomplemented
516#123×C61C2318yescomplemented
517C22⋊Q8×C61C2318yescomplemented
518#121×C61C2318yescomplemented
519#121×C61C2318yescomplemented
520#121×C61C2318yescomplemented
521#120×C61C2318yescomplemented
522#120×C61C2318yescomplemented
523C4×D4×C61C2318yescomplemented
524C4×D4×C61C2318yescomplemented
525C2×C4⋊C4×C61C2311yescharacteristic
526C2×C4⋊C4×C61C2311yescharacteristic
527C2×C4⋊C4×C61C2311yescharacteristic
528C2×C4⋊C4×C61C2311yescharacteristic
529C2×C22⋊C4×C61C2311yescharacteristic
530C2×C22⋊C4×C61C2311yescharacteristic
531C2×C22⋊C4×C61C2311yescharacteristic
532C2×C22⋊C4×C61C2311yescharacteristic
533C2×C22⋊C4×C61C2311yescharacteristic
534C2×C22⋊C4×C61C2311yescharacteristic
535C2×C22⋊C4×C61C2311yescharacteristic
536C2×C22⋊C4×C61C2311yescharacteristic
537C2×C22⋊C4×C61C2311yescharacteristic
538C2×C22⋊C4×C61C2311yescharacteristic
539C2×C22⋊C4×C61C2311yescharacteristic
540C2×C22⋊C4×C61C2311yescharacteristic
541C2×C22⋊C4×C61C2318yescomplemented
542C2×C22⋊C4×C61C2318yescomplemented
543C2×C42×C61C2311yescharacteristic
544C24×C61—24no—
545C24×C61—24no—
546C24×C61—24no—
547C24×C61—42no—
548C24×C61—42no—
549C24×C61—42no—
550C24×C61C2411yescharacteristic
551C24×C61C2411yescharacteristic
552C24×C61C2411yescharacteristic
553C24×C61C2411yescharacteristic
554C24×C61C2414yes—
555C24×C61C2411yescharacteristic
556C24×C61C2411yescharacteristic
557C24×C61C2414yes—
558C23×D61—24no—
559C23×D61—24no—
560C23×D61—24no—
561C23×D61—24no—
562C23×D61—24no—
563C23×D61—42no—
564C23×D61—42no—
565C23×D61—42no—
566C23×D61—42no—
567C23×D61—42no—
568C23×D61—42no—
569C23×D61—42no—
570C23×D61C2411yescharacteristic
571C23×D61C2411yescharacteristic
572C23×D61C2411yescharacteristic
573C23×D61C2411yescharacteristic
574C23×D61C2414yes—
575C23×D61C2411yescharacteristic
576C23×D61C2414yes—
577C23×D61C2414yes—
578C23×D61C2414yes—
579#41×C61—416no—
580C2×Q8×C61—42no—
581C2×Q8×C61C2414yes—
582C2×D4×C61—24no—
583C2×D4×C61—24no—
584C2×D4×C61—24no—
585C2×D4×C61—24no—
586C2×D4×C61—42no—
587C2×D4×C61—42no—
588C2×D4×C61—42no—
589C2×D4×C61—42no—
590C2×D4×C61—42no—
591C2×D4×C61—416no—
592C2×D4×C61C2414yes—
593C2×D4×C61C2414yes—
594C2×D4×C61C2414yes—
595C2×D4×C61C2414yes—
596C2×D4×C61C2414yes—
597C2×D4×C61C2414yes—
598C2×D4×C61C2414yes—
599C2×D4×C61C2414yes—
600C2×D4×C61C2414yes—
601C22×C4×C61—24no—
602C22×C4×C61—42no—
603C22×C4×C61—42no—
604C22×C4×C61—42no—
605C22×C4×C61—42no—
606C22×C4×C61—42no—
607C22×C4×C61C2411yescharacteristic
608C22×C4×C61C2411yescharacteristic
609C22×C4×C61C2411yescharacteristic
610C22×C4×C61C2411yescharacteristic
611C22×C4×C61C2411yescharacteristic
612C22×C4×C61C2411yescharacteristic
613C22×C4×C61C2411yescharacteristic
614C22×C4×C61C2411yescharacteristic
615C22×C4×C61C2414yes—
616C22×C4×C61C2411yescharacteristic
617C22×C4×C61C2414yes—
618C22×C4×C61C2414yes—
619C22×C4×C61C2414yes—
620C22×C4×C61C2414yes—
621C22×C4×C61C2414yes—
622C2×C22⋊D61—24no—
623C2×C22⋊D61—24no—
624C2×C22⋊D61—24no—
625C2×C22⋊D61—24no—
626C2×C22⋊D61—24no—
627C2×C22⋊D61—24no—
628C2×C22⋊D61—24no—
629C2×C22⋊D61—232no—
630C2×C22⋊D61—232no—
631C2×C22⋊D61—24no—
632C2×C22⋊D61—24no—
633C2×C22⋊D61—24no—
634C2×C22⋊D61—24no—
635C2×C22⋊D61—24no—
636C2×C22⋊D61—24no—
637C2×C22⋊D61—416no—
638C2×C22⋊D61—42no—
639C2×C22⋊D61—42no—
640C2×C22⋊D61—42no—
641C2×C22⋊D61—42no—
642C2×C22⋊D61—42no—
643C2×C22⋊D61—42no—
644C2×C22⋊D61—42no—
645C2×C22⋊D61—42no—
646C2×C22⋊D61—416no—
647C2×C22⋊D61#4118yescomplemented
648C2×C22⋊D61C2414yes—
649C2×C22⋊D61C2414yes—
650C2×C22⋊D61C2414yes—
651C2×C22⋊D61C2414yes—
652C2×C22⋊D61C2414yes—
653C2×C22⋊D61C2414yes—
654C2×C22⋊D61C2414yes—
655C2×C22⋊D61C2414yes—
656C2×C22⋊D61C2414yes—
657C2×C22⋊D61C2414yes—
658C2×C22⋊D61C2414yes—
659C2×C22⋊D61C2414yes—
660C2×C22⋊D61C2414yes—
661C2×C22⋊D61C2414yes—
662C2×C22⋊D61C2414yes—
663C2×C22⋊D61C2414yes—
664C2×C22⋊D61C2414yes—
665C2×C22⋊D61C2414yes—
666C2×C22⋊D61C2414yes—
667C2×C22⋊D61C2414yes—
668C2×C22⋊D61C2414yes—
669C2×C22⋊D61C2414yes—
670C22×Dic61—24no—
671C22×Dic61—24no—
672C22×Dic61—24no—
673C22×Dic61—24no—
674C22×Dic61—24no—
675C22×Dic61—416no—
676C22×Dic61—42no—
677C22×Dic61—42no—
678C22×Dic61—42no—
679C22×Dic61—42no—
680C22×Dic61—42no—
681C22×Dic61C2411yescharacteristic
682C22×Dic61C2411yescharacteristic
683C22×Dic61C2411yescharacteristic
684C22×Dic61C2411yescharacteristic
685C22×Dic61C2411yescharacteristic
686C22×Dic61C2411yescharacteristic
687C22×Dic61C2414yes—
688C22×Dic61C2411yescharacteristic
689C22×Dic61C2414yes—
690C22×Dic61C2414yes—
691C22×Dic61C2411yescharacteristic
692C22×Dic61C2411yescharacteristic
693C22×Dic61C2414yes—
694C22×Dic61C2414yes—
695C22×Dic61C2414yes—
696C22×Dic61C2414yes—
697C22×Dic61C2414yes—
698C22×Dic61C2414yes—
699C22×Dic61C2414yes—
700C22×Dic61C2411yescharacteristic
701C22×Dic61C2411yescharacteristic
702#11758224—416no—
703D4×D61—232no—
704D4×D61—416no—
705D4×D61—416no—
706D4×D61—416no—
707#11758222—416no—
708#11758222—416no—
709C2×D244—24no—
710C2×D244—42no—
711C2×D244—42no—
712C2×D244—42no—
713C2×D244—42no—
714C2×D244—42no—
715C2×D244C2414yes—
716C2×D244C2414yes—
717C2×D244C2414yes—
718C2×D244C2414yes—
719C2×D244C2414yes—
720C2×D244C2414yes—
721C2×C4×D61—24no—
722C2×C4×D61—24no—
723C2×C4×D61—24no—
724C2×C4×D61—416no—
725C2×C4×D61—42no—
726C2×C4×D61—42no—
727C2×C4×D61—42no—
728C2×C4×D61—42no—
729C2×C4×D61—42no—
730C2×C4×D61—42no—
731C2×C4×D61—42no—
732C2×C4×D61—42no—
733C2×C4×D61C2414yes—
734C2×C4×D61C2414yes—
735C2×C4×D61C2414yes—
736C2×C4×D61C2414yes—
737C2×C4×D61C2414yes—
738C2×C4×D61C2414yes—
739C2×C4×D61C2414yes—
740C2×C4×D61C2414yes—
741C2×C4×D61C2414yes—
742C2×C4×D61C2414yes—
743C2×C4×D61C2414yes—
744C2×Dic122—24no—
745C2×Dic122—42no—
746C2×Dic122C2414yes—
747C2×Dic122C2414yes—
748C4⋊C4×C61C2414yes—
749C4⋊C4×C61C2414yes—
750C4⋊C4×C61C2414yes—
751C4⋊C4×C61C2414yes—
752C22⋊C4×C61C2414yes—
753C22⋊C4×C61C2414yes—
754C22⋊C4×C61C2414yes—
755C22⋊C4×C61C2414yes—
756C22⋊C4×C61C2414yes—
757C22⋊C4×C61C2414yes—
758C22⋊C4×C61C2414yes—
759C22⋊C4×C61C2414yes—
760C22⋊C4×C61C2414yes—
761C22⋊C4×C61C2414yes—
762C22⋊C4×C61C2414yes—
763C22⋊C4×C61C2414yes—
764C42×C61C2414yes—
765C22⋊Dic61C2414yes—
766C22⋊Dic61C2414yes—
767C22⋊Dic61C2414yes—
768C22⋊Dic61C2414yes—
769C22⋊Dic61C2414yes—
770C22⋊Dic61C2414yes—
771C22⋊Dic61C2414yes—
772C22⋊Dic61C2414yes—
773C22⋊Dic61C2414yes—
774C22⋊Dic61C2414yes—
775C22⋊Dic61C2414yes—
776C22⋊Dic61C2414yes—
777#11758198C2414yes—
778#11758198C2414yes—
779#11758198C2414yes—
780#11758198C2414yes—
781#11758198C2414yes—
782#11758198C2414yes—
783#11758198C2414yes—
784#11758198C2414yes—
785#11758198C2414yes—
786#11758198C2414yes—
787#11758198C2414yes—
788#11758198C2414yes—
789#11758198C2414yes—
790#11758198C2414yes—
791#11758198C2414yes—
792#11758198C2414yes—
793#11758198C2414yes—
794#11758198C2414yes—
795#11758198C2414yes—
796#11758198C2414yes—
797#11758198C2414yes—
798#11758198C2414yes—
799C4⋊Dic61C2414yes—
800C4⋊Dic61C2414yes—
801C4⋊Dic61C2414yes—
802C4⋊Dic61C2414yes—
803#11758196C2414yes—
804#11758196C2414yes—
805#11758196C2414yes—
806#11758196C2414yes—
807#11758196C2414yes—
808#11758196C2414yes—
809#11758196C2414yes—
810#11758196C2414yes—
811#11758196C2414yes—
812#11758196C2414yes—
813#11758196C2414yes—
814#11758196C2414yes—
815#11758196C2414yes—
816#11758196C2414yes—
817#11758196C2414yes—
818#11758196C2414yes—
819#11758196C2414yes—
820#11758196C2414yes—
821C4×Dic61C2414yes—
822C4×Dic61C2414yes—
823C4×Dic61C2414yes—
824C4×Dic61C2414yes—
825C4×Dic61C2414yes—
826C4×Dic61C2414yes—
827C4×Dic61C2414yes—
828C4×Dic61C2414yes—
829C4×Dic61C2414yes—
830C23×C61—22no—
831C23×C61—22no—
832C23×C61—22no—
833C23×C61—22no—
834C23×C61—22no—
835C23×C61—28no—
836C23×C61—22no—
837C23×C61—22no—
838C23×C61—22no—
839C23×C61—22no—
840C23×C61—22no—
841C23×C61—22no—
842C23×C61—22no—
843C23×C61—28no—
844C23×C61—22no—
845C23×C61—22no—
846C23×C61—22no—
847C23×C61—22no—
848C23×C61—28no—
849C23×C61—44no—
850C23×C61—44no—
851C23×C61—44no—
852C23×C61—416no—
853C23×C61—88no—
854C23×C61C2×#4114yes—
855C23×C61H(5,𝔽2)14yes—
856C23×C61C2512yes—
857C23×C61C2512yes—
858C23×C61C2512yes—
859C23×C61C2512yes—
860C23×C61C2512yes—
861C23×C61C2512yes—
862C23×C61C2511yescharacteristic
863C22×D61—22no—
864C22×D61—22no—
865C22×D61—22no—
866C22×D61—22no—
867C22×D61—22no—
868C22×D61—22no—
869C22×D61—22no—
870C22×D61—22no—
871C22×D61—22no—
872C22×D61—22no—
873C22×D61—22no—
874C22×D61—22no—
875C22×D61—22no—
876C22×D61—22no—
877C22×D61—28no—
878C22×D61—28no—
879C22×D61—28no—
880C22×D61—28no—
881C22×D61—28no—
882C22×D61—44no—
883C22×D61—44no—
884C22×D61—44no—
885C22×D61—44no—
886C22×D61—44no—
887C22×D61—44no—
888C22×D61—44no—
889C22×D61—416no—
890C22×D61—88no—
891C22×D61—88no—
892C22×D61—88no—
893C22×D61C2×#4114yes—
894C22×D61C2512yes—
895C22×D61C2512yes—
896C22×D61C2512yes—
897C22×D61C2512yes—
898C22×D61C2512yes—
899Q8×C61—44no—
900D4×C61—28no—
901D4×C61—28no—
902D4×C61—28no—
903D4×C61—28no—
904D4×C61—44no—
905D4×C61—44no—
906D4×C61—44no—
907D4×C61—44no—
908D4×C61—44no—
909C2×C4×C61—22no—
910C2×C4×C61—22no—
911C2×C4×C61—22no—
912C2×C4×C61—22no—
913C2×C4×C61—22no—
914C2×C4×C61—22no—
915C2×C4×C61—22no—
916C2×C4×C61—22no—
917C2×C4×C61—28no—
918C2×C4×C61—22no—
919C2×C4×C61—44no—
920C2×C4×C61—44no—
921C2×C4×C61—44no—
922C2×C4×C61—44no—
923C2×C4×C61—44no—
924C2×C4×C61C2512yes—
925C2×C4×C61C2512yes—
926C2×C4×C61C2512yes—
927C2×C4×C61C2512yes—
928C2×C4×C61C2512yes—
929C2×C4×C61C2512yes—
930C2×C4×C61C2512yes—
931C2×C4×C61C2512yes—
932C2×C4×C61C2512yes—
933C22⋊D61—28no—
934C22⋊D61—28no—
935C22⋊D61—28no—
936C22⋊D61—28no—
937C22⋊D61—28no—
938C22⋊D61—28no—
939C22⋊D61—28no—
940C22⋊D61—28no—
941C22⋊D61—28no—
942C22⋊D61—28no—
943C22⋊D61—28no—
944C22⋊D61—28no—
945C22⋊D61—28no—
946C22⋊D61—44no—
947C22⋊D61—44no—
948C22⋊D61—44no—
949C22⋊D61—44no—
950C22⋊D61—44no—
951C22⋊D61—44no—
952C22⋊D61—44no—
953C22⋊D61—44no—
954C22⋊D61C2×#41116yescomplemented
955C2×Dic61—22no—
956C2×Dic61—22no—
957C2×Dic61—22no—
958C2×Dic61—22no—
959C2×Dic61—22no—
960C2×Dic61—22no—
961C2×Dic61—22no—
962C2×Dic61—22no—
963C2×Dic61—22no—
964C2×Dic61—28no—
965C2×Dic61—28no—
966C2×Dic61—28no—
967C2×Dic61—28no—
968C2×Dic61—28no—
969C2×Dic61—44no—
970C2×Dic61—44no—
971C2×Dic61—44no—
972C2×Dic61—44no—
973C2×Dic61—44no—
974C2×Dic61C2×#4114yes—
975C2×Dic61H(5,𝔽2)14yes—
976C2×Dic61C2512yes—
977C2×Dic61C2512yes—
978C2×Dic61C2512yes—
979C2×Dic61C2512yes—
980C2×Dic61C2512yes—
981C2×Dic61C2512yes—
982C2×Dic61C2512yes—
983C2×Dic61C2512yes—
984C2×Dic61C2512yes—
985C2×Dic61C2512yes—
986C2×Dic61C2512yes—
987D244—28no—
988D244—44no—
989D244—44no—
990D244—44no—
991D244—44no—
992D244—44no—
993C4×D61—28no—
994C4×D61—28no—
995C4×D61—28no—
996C4×D61—44no—
997C4×D61—44no—
998C4×D61—44no—
999C4×D61—44no—
1000C4×D61—44no—
1001C4×D61—44no—
1002C4×D61—44no—
1003C4×D61—44no—
1004Dic122—28no—
1005Dic122—44no—
1006C2×#3519—611nomaximal, Sylow
1007C22×C61—22no—
1008C22×C61—22no—
1009C22×C61—22no—
1010C22×C61—22no—
1011C22×C61—28no—
1012C22×C61—28no—
1013C22×C61—22no—
1014C22×C61—22no—
1015C22×C61—22no—
1016C22×C61—22no—
1017C22×C61—22no—
1018C22×C61—22no—
1019C22×C61—22no—
1020C22×C61—22no—
1021C22×C61—22no—
1022C22×C61—22no—
1023C22×C61—22no—
1024C22×C61—22no—
1025C22×C61—416no—
1026C22×C61—44no—
1027C22×C61—44no—
1028C22×C61—44no—
1029C22×C61—44no—
1030C22×C61—88no—
1031C22×C61C22×#4114yes—
1032C22×C61C22×#4112yes—
1033C22×C61C2×H(5,𝔽2)12yes—
1034C22×C61C2×H(5,𝔽2)14yes—
1035C22×C61C2×H(5,𝔽2)12yes—
1036C22×C61C2611yescharacteristic
1037C2×D61—22no—
1038C2×D61—22no—
1039C2×D61—28no—
1040C2×D61—22no—
1041C2×D61—22no—
1042C2×D61—22no—
1043C2×D61—22no—
1044C2×D61—22no—
1045C2×D61—22no—
1046C2×D61—22no—
1047C2×D61—22no—
1048C2×D61—22no—
1049C2×D61—22no—
1050C2×D61—22no—
1051C2×D61—22no—
1052C2×D61—416no—
1053C2×D61—44no—
1054C2×D61—44no—
1055C2×D61—44no—
1056C2×D61—44no—
1057C2×D61—88no—
1058C2×D61—88no—
1059C2×D61—88no—
1060C2×D61C22×#4114yes—
1061C4×C61—22no—
1062C4×C61—22no—
1063C4×C61—22no—
1064C4×C61—22no—
1065C4×C61—22no—
1066C4×C61—22no—
1067C4×C61—22no—
1068C4×C61—22no—
1069C4×C61—22no—
1070Dic61—22no—
1071Dic61—22no—
1072Dic61—22no—
1073Dic61—22no—
1074Dic61—22no—
1075Dic61—22no—
1076Dic61—22no—
1077Dic61—22no—
1078Dic61—22no—
1079Dic61C22×#4114yes—
1080Dic61C2×H(5,𝔽2)14yes—
1081#3519—6132no—
1082C2×#555—611no—
1083C2×#554—611no—
1084C2×#553—611no—
1085C2×#553—611no—
1086C2×#553—611no—
1087C2×#553—611no—
1088C2×#550—611no—
1089C2×#546—611no—
1090C2×#546—611no—
1091C2×#546—611no—
1092C2×#546—611no—
1093C2×#546—611no—
1094C2×#546D6111yescharacteristic, complemented
1095C2×D42—611no—
1096C2×D42—611no—
1097C2×D42—611no—
1098C2×#540—611no—
1099C2×#540—611no—
1100C2×#538—611no—
1101C2×#538—611no—
1102C2×#538—611no—
1103C2×#538—611no—
1104C2×#532—611no—
1105C2×#529—611no—
1106C2×#525—611no—
1107C2×#525—611no—
1108C22×#121—611no—
1109C22×#121—611no—
1110C2×#518—611no—
1111C2×#518—611no—
1112C22×C4×D4—611no—
1113C2×C61—24no—
1114C2×C61—24no—
1115C2×C61—42no—
1116C2×C61—42no—
1117C2×C61—42no—
1118C2×C61—42no—
1119C2×C61#351914yescomplemented
1120C2×C61C23×#4111yescharacteristic
1121C2×C61C22×H(5,𝔽2)11yescharacteristic
1122C2×C61C22×H(5,𝔽2)11yescharacteristic
1123D61—24no—
1124D61—42no—
1125D61—42no—
1126D61—42no—
1127D61—42no—
1128C22×#41—611no—
1129C22×#41—611no—
1130C22×#41—611no—
1131C22×#41C2×D6111yescharacteristic, complemented
1132C23×D4—611no—
1133C23×D4—611no—
1134C23×D4—611no—
1135C23×D4—611no—
1136C23×D4—611no—
1137C23×D4—611no—
1138C23×D4—611no—
1139C23×D4—611no—
1140C23×D4C2×D6111yescharacteristic, complemented
1141C24×C4—611no—
1142C24×C4—611no—
1143#555—6116no—
1144#554—6116no—
1145#553—6116no—
1146#553—6116no—
1147#553—6116no—
1148#553—6116no—
1149#550—6116no—
1150#546—6116no—
1151#546—6116no—
1152#546—6116no—
1153#546—6116no—
1154#546—6116no—
1155#546C2×D61116yescomplemented
1156D42—6116no—
1157D42—6116no—
1158D42—6116no—
1159#540—6116no—
1160#540—6116no—
1161#538—6116no—
1162#538—6116no—
1163#538—6116no—
1164#538—6116no—
1165#532—6116no—
1166C2×C4⋊Q8—611no—
1167C2×#127—611no—
1168C2×#127—611no—
1169C2×#127—611no—
1170#529—6116no—
1171C2×#126—611no—
1172C2×#126—611no—
1173C2×#126—611no—
1174C2×#126—611no—
1175C2×#126—611no—
1176C2×#126—611no—
1177C2×#125—611no—
1178C2×#125—611no—
1179C2×#125—611no—
1180C2×#124—611no—
1181C2×#124—611no—
1182C2×#124—611no—
1183C2×#124—611no—
1184C2×#124—611no—
1185C2×#124—611no—
1186C2×#124C2×D6111yescharacteristic, complemented
1187#525—6116no—
1188#525—6116no—
1189C2×#123—611no—
1190C2×#123—611no—
1191C2×#123—611no—
1192C2×#123—611no—
1193C2×#123—611no—
1194C2×#123—611no—
1195C2×#123—611no—
1196C2×#123—611no—
1197C2×#123—611no—
1198C2×#123—611no—
1199C2×#123—611no—
1200C2×#123—611no—
1201C2×#123C2×D6111yescharacteristic, complemented
1202C2×#123C2×D6111yescharacteristic, complemented
1203C2×C22⋊Q8—611no—
1204C2×C22⋊Q8—611no—
1205C2×C22⋊Q8—611no—
1206C2×C22⋊Q8—611no—
1207C2×C22⋊Q8—611no—
1208C2×C22⋊Q8—611no—
1209C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1210C2×#121—611no—
1211C2×#121—611no—
1212C2×#121—611no—
1213C2×#121—611no—
1214C2×#121—611no—
1215C2×#121—611no—
1216C2×#121—611no—
1217C2×#121—611no—
1218C2×#121—611no—
1219C2×#121—611no—
1220C2×#121—611no—
1221C2×#121—611no—
1222C2×#121—611no—
1223C2×#121—611no—
1224C2×#121—611no—
1225C2×#121—611no—
1226C2×#121—611no—
1227C2×#121—611no—
1228C2×#121—6116no—
1229C2×#121—611no—
1230C2×#121—611no—
1231C2×#121—611no—
1232C2×#121—6116no—
1233C2×#121—611no—
1234C2×#121—611no—
1235C2×#121—611no—
1236C2×#121—611no—
1237C2×#121—611no—
1238C2×#121—611no—
1239C2×#121—611no—
1240C2×#121—611no—
1241C2×#121—611no—
1242C2×#121—611no—
1243C2×#121—611no—
1244C2×#121C2×D6111yescharacteristic, complemented
1245C2×#121C2×D6111yescharacteristic, complemented
1246C2×#121C2×D6111yescharacteristic, complemented
1247C2×#120—611no—
1248C2×#120—611no—
1249C2×#120—611no—
1250C2×#120—611no—
1251C2×#120—611no—
1252C2×#120—611no—
1253C2×#120—611no—
1254C2×#120—611no—
1255C2×#120—611no—
1256C2×#120—611no—
1257C2×#120C2×D6111yescharacteristic, complemented
1258C2×#120C2×D6111yescharacteristic, complemented
1259#518—6116no—
1260#518—6116no—
1261C2×C4×Q8—611no—
1262C2×C4×D4—611no—
1263C2×C4×D4—611no—
1264C2×C4×D4—611no—
1265C2×C4×D4—611no—
1266C2×C4×D4—611no—
1267C2×C4×D4—611no—
1268C2×C4×D4—611no—
1269C2×C4×D4—611no—
1270C2×C4×D4—611no—
1271C2×C4×D4—611no—
1272C2×C4×D4—611no—
1273C2×C4×D4—611no—
1274C2×C4×D4—611no—
1275C2×C4×D4—611no—
1276C2×C4×D4—611no—
1277C2×C4×D4—611no—
1278C2×C4×D4—611no—
1279C2×C4×D4—611no—
1280C2×C4×D4—611no—
1281C2×C4×D4—611no—
1282C2×C4×D4—611no—
1283C2×C4×D4—611no—
1284C2×C4×D4—611no—
1285C2×C4×D4—611no—
1286C2×C4×D4—611no—
1287C2×C4×D4—611no—
1288C2×C4×D4—611no—
1289C2×C4×D4—611no—
1290C2×C4×D4—6116no—
1291C2×C4×D4—611no—
1292C2×C4×D4C2×D6111yescharacteristic, complemented
1293C2×C4×D4C2×D6111yescharacteristic, complemented
1294C2×#117—611no—
1295C2×#117—611no—
1296C2×#117—611no—
1297C2×#117—611no—
1298C2×#117—611no—
1299C2×#117—611no—
1300C22×C4⋊C4—611no—
1301C22×C4⋊C4—611no—
1302C22×C4⋊C4—611no—
1303C22×C22⋊C4—611no—
1304C22×C22⋊C4—611no—
1305C22×C22⋊C4—611no—
1306C22×C22⋊C4—611no—
1307C22×C22⋊C4—611no—
1308C22×C22⋊C4—611no—
1309C22×C22⋊C4—611no—
1310C22×C22⋊C4—611no—
1311C22×C22⋊C4C2×D6111yescharacteristic, complemented
1312C22×C22⋊C4C2×D6111yescharacteristic, complemented
1313C22×C42—611no—
1314C61C2×#351911yescharacteristic, complemented, Sylow
1315C25—611no—
1316C25—611no—
1317C25—611no—
1318C25—611no—
1319C25C22×D6111yescharacteristic
1320C25C22×D6111yescharacteristic
1321C2×#41—44no—
1322C2×#41—618no—
1323C2×#41—618no—
1324C2×#41—618no—
1325C2×#41—2444no—
1326C2×#41—2444no—
1327C2×#41—2444no—
1328C2×#41C22×D6118yescomplemented
1329C22×Q8—611no—
1330C22×Q8—611no—
1331C22×Q8C22×D6111yescharacteristic
1332C22×D4—44no—
1333C22×D4—611no—
1334C22×D4—611no—
1335C22×D4—611no—
1336C22×D4—611no—
1337C22×D4—611no—
1338C22×D4—611no—
1339C22×D4—611no—
1340C22×D4—611no—
1341C22×D4—618no—
1342C22×D4—611no—
1343C22×D4—611no—
1344C22×D4—611no—
1345C22×D4—611no—
1346C22×D4—611no—
1347C22×D4—611no—
1348C22×D4—618no—
1349C22×D4—611no—
1350C22×D4—611no—
1351C22×D4—611no—
1352C22×D4—611no—
1353C22×D4—611no—
1354C22×D4—611no—
1355C22×D4—611no—
1356C22×D4—611no—
1357C22×D4—618no—
1358C22×D4—618no—
1359C22×D4—618no—
1360C22×D4—618no—
1361C22×D4—618no—
1362C22×D4—618no—
1363C22×D4—611no—
1364C22×D4—611no—
1365C22×D4—611no—
1366C22×D4—611no—
1367C22×D4—611no—
1368C22×D4—611no—
1369C22×D4—1228no—
1370C22×D4—1228no—
1371C22×D4—1228no—
1372C22×D4—2444no—
1373C22×D4—2444no—
1374C22×D4—2444no—
1375C22×D4—2444no—
1376C22×D4—2444no—
1377C22×D4C22×D6111yescharacteristic
1378C22×D4C22×D6111yescharacteristic
1379C22×D4C22×D6111yescharacteristic
1380C22×D4C22×D6111yescharacteristic
1381C22×D4C22×D6111yescharacteristic
1382C22×D4C22×D6111yescharacteristic
1383C22×D4C22×D6111yescharacteristic
1384C22×D4C22×D6111yescharacteristic
1385C22×D4C22×D6111yescharacteristic
1386C22×D4C22×D6118yescomplemented
1387C23×C4—611no—
1388C23×C4—611no—
1389C23×C4—611no—
1390C23×C4—611no—
1391C23×C4—611no—
1392C23×C4—611no—
1393C23×C4—611no—
1394C23×C4—611no—
1395C23×C4—611no—
1396C23×C4—611no—
1397C23×C4—618no—
1398C23×C4—611no—
1399C23×C4—611no—
1400C23×C4—611no—
1401C23×C4—611no—
1402C23×C4—611no—
1403C23×C4—611no—
1404C23×C4—611no—
1405C23×C4—611no—
1406C23×C4—611no—
1407C23×C4—611no—
1408C23×C4—611no—
1409C23×C4—618no—
1410C23×C4—2444no—
1411C23×C4—2444no—
1412C23×C4C22×D6111yescharacteristic
1413C23×C4C22×D6111yescharacteristic
1414C23×C4C22×D6111yescharacteristic
1415C23×C4C22×D6111yescharacteristic
1416C23×C4C22×D6111yescharacteristic
1417C23×C4C22×D6111yescharacteristic
1418C4⋊Q8—618no—
1419#127—618no—
1420#127—618no—
1421#127—618no—
1422#126—618no—
1423#126—618no—
1424#126—618no—
1425#126—618no—
1426#126—618no—
1427#126—618no—
1428#125—618no—
1429#125—618no—
1430#125—618no—
1431#124—618no—
1432#124—618no—
1433#124—618no—
1434#124—618no—
1435#124—618no—
1436#124—618no—
1437#124C22×D6118yescomplemented
1438#123—618no—
1439#123—618no—
1440#123—618no—
1441#123—618no—
1442#123—618no—
1443#123—618no—
1444#123—618no—
1445#123—618no—
1446#123—618no—
1447#123—618no—
1448#123—618no—
1449#123—618no—
1450#123C22×D6118yescomplemented
1451#123C22×D6118yescomplemented
1452C22⋊Q8—618no—
1453C22⋊Q8—618no—
1454C22⋊Q8—618no—
1455C22⋊Q8—618no—
1456C22⋊Q8—618no—
1457C22⋊Q8—618no—
1458C22⋊Q8C22×D6118yescomplemented
1459#121—618no—
1460#121—618no—
1461#121—618no—
1462#121—618no—
1463#121—618no—
1464#121—618no—
1465#121—618no—
1466#121—618no—
1467#121—618no—
1468#121—618no—
1469#121—618no—
1470#121—618no—
1471#121—618no—
1472#121—618no—
1473#121—618no—
1474#121—618no—
1475#121—618no—
1476#121—618no—
1477#121—618no—
1478#121—618no—
1479#121—618no—
1480#121—618no—
1481#121—618no—
1482#121—618no—
1483#121—618no—
1484#121—618no—
1485#121—618no—
1486#121—618no—
1487#121—618no—
1488#121—618no—
1489#121—618no—
1490#121—618no—
1491#121C22×D6118yescomplemented
1492#121C22×D6118yescomplemented
1493#121C22×D6118yescomplemented
1494#120—618no—
1495#120—618no—
1496#120—618no—
1497#120—618no—
1498#120—618no—
1499#120—618no—
1500#120—618no—
1501#120—618no—
1502#120—618no—
1503#120—618no—
1504#120C22×D6118yescomplemented
1505#120C22×D6118yescomplemented
1506C4×Q8—618no—
1507C4×D4—618no—
1508C4×D4—618no—
1509C4×D4—618no—
1510C4×D4—618no—
1511C4×D4—618no—
1512C4×D4—618no—
1513C4×D4—618no—
1514C4×D4—618no—
1515C4×D4—618no—
1516C4×D4—618no—
1517C4×D4—618no—
1518C4×D4—618no—
1519C4×D4—618no—
1520C4×D4—618no—
1521C4×D4—618no—
1522C4×D4—618no—
1523C4×D4—618no—
1524C4×D4—618no—
1525C4×D4—618no—
1526C4×D4—618no—
1527C4×D4—618no—
1528C4×D4—618no—
1529C4×D4—618no—
1530C4×D4—618no—
1531C4×D4—618no—
1532C4×D4—618no—
1533C4×D4—618no—
1534C4×D4—618no—
1535C4×D4—618no—
1536C4×D4C22×D6118yescomplemented
1537C4×D4C22×D6118yescomplemented
1538#117—618no—
1539#117—618no—
1540#117—618no—
1541#117—618no—
1542#117—618no—
1543#117—618no—
1544C2×C4⋊C4—611no—
1545C2×C4⋊C4—611no—
1546C2×C4⋊C4—611no—
1547C2×C4⋊C4—611no—
1548C2×C4⋊C4—611no—
1549C2×C4⋊C4—611no—
1550C2×C4⋊C4—611no—
1551C2×C4⋊C4—618no—
1552C2×C4⋊C4—611no—
1553C2×C4⋊C4—611no—
1554C2×C4⋊C4—611no—
1555C2×C4⋊C4—618no—
1556C2×C4⋊C4—611no—
1557C2×C4⋊C4—611no—
1558C2×C4⋊C4—611no—
1559C2×C4⋊C4—611no—
1560C2×C4⋊C4—611no—
1561C2×C4⋊C4—611no—
1562C2×C4⋊C4—611no—
1563C2×C4⋊C4—611no—
1564C2×C4⋊C4—611no—
1565C2×C4⋊C4—611no—
1566C2×C4⋊C4—611no—
1567C2×C4⋊C4—611no—
1568C2×C4⋊C4—618no—
1569C2×C4⋊C4C22×D6111yescharacteristic
1570C2×C4⋊C4C22×D6111yescharacteristic
1571C2×C4⋊C4C22×D6111yescharacteristic
1572C2×C4⋊C4C22×D6111yescharacteristic
1573C2×C22⋊C4—611no—
1574C2×C22⋊C4—611no—
1575C2×C22⋊C4—611no—
1576C2×C22⋊C4—611no—
1577C2×C22⋊C4—611no—
1578C2×C22⋊C4—611no—
1579C2×C22⋊C4—618no—
1580C2×C22⋊C4—611no—
1581C2×C22⋊C4—611no—
1582C2×C22⋊C4—611no—
1583C2×C22⋊C4—611no—
1584C2×C22⋊C4—611no—
1585C2×C22⋊C4—611no—
1586C2×C22⋊C4—611no—
1587C2×C22⋊C4—611no—
1588C2×C22⋊C4—611no—
1589C2×C22⋊C4—611no—
1590C2×C22⋊C4—611no—
1591C2×C22⋊C4—611no—
1592C2×C22⋊C4—611no—
1593C2×C22⋊C4—611no—
1594C2×C22⋊C4—611no—
1595C2×C22⋊C4—611no—
1596C2×C22⋊C4—611no—
1597C2×C22⋊C4—611no—
1598C2×C22⋊C4—611no—
1599C2×C22⋊C4—611no—
1600C2×C22⋊C4—618no—
1601C2×C22⋊C4—618no—
1602C2×C22⋊C4—618no—
1603C2×C22⋊C4—611no—
1604C2×C22⋊C4—611no—
1605C2×C22⋊C4—611no—
1606C2×C22⋊C4—611no—
1607C2×C22⋊C4—611no—
1608C2×C22⋊C4—611no—
1609C2×C22⋊C4—611no—
1610C2×C22⋊C4—611no—
1611C2×C22⋊C4—618no—
1612C2×C22⋊C4—618no—
1613C2×C22⋊C4—618no—
1614C2×C22⋊C4—618no—
1615C2×C22⋊C4C22×D6111yescharacteristic
1616C2×C22⋊C4C22×D6111yescharacteristic
1617C2×C22⋊C4C22×D6111yescharacteristic
1618C2×C22⋊C4C22×D6111yescharacteristic
1619C2×C22⋊C4C22×D6111yescharacteristic
1620C2×C22⋊C4C22×D6111yescharacteristic
1621C2×C22⋊C4C22×D6111yescharacteristic
1622C2×C22⋊C4C22×D6111yescharacteristic
1623C2×C22⋊C4C22×D6111yescharacteristic
1624C2×C22⋊C4C22×D6111yescharacteristic
1625C2×C22⋊C4C22×D6111yescharacteristic
1626C2×C22⋊C4C22×D6111yescharacteristic
1627C2×C22⋊C4C22×D6118yescomplemented
1628C2×C22⋊C4C22×D6118yescomplemented
1629C2×C42—611no—
1630C2×C42—611no—
1631C2×C42—611no—
1632C2×C42—611no—
1633C2×C42—611no—
1634C2×C42—611no—
1635C2×C42—611no—
1636C2×C42—611no—
1637C2×C42—611no—
1638C2×C42—618no—
1639C2×C42C22×D6111yescharacteristic
1640C24—24no—
1641C24—24no—
1642C24—24no—
1643C24—42no—
1644C24—42no—
1645C24—42no—
1646C24—611no—
1647C24—611no—
1648C24—611no—
1649C24—611no—
1650C24—611no—
1651C24—614no—
1652C24—614no—
1653C24—614no—
1654C24—614no—
1655C24—1224no—
1656C24—1224no—
1657C24—1224no—
1658C24—1224no—
1659C24—1224no—
1660C24—2442no—
1661C24—2442no—
1662C24—2442no—
1663C24—2442no—
1664C24—2442no—
1665C24—2442no—
1666C24—2442no—
1667C24C23×D6111yescharacteristic
1668C24C23×D6111yescharacteristic
1669C24C23×D6111yescharacteristic
1670C24C23×D6111yescharacteristic
1671C24C23×D6114yes—
1672C24C23×D6111yescharacteristic
1673C24C23×D6111yescharacteristic
1674C24C23×D6114yes—
1675#41—416no—
1676#41—24416no—
1677#41—24416no—
1678#41—24416no—
1679C2×Q8—42no—
1680C2×Q8—614no—
1681C2×Q8—614no—
1682C2×Q8—1224no—
1683C2×Q8—2442no—
1684C2×Q8C23×D6114yes—
1685C2×D4—24no—
1686C2×D4—24no—
1687C2×D4—24no—
1688C2×D4—24no—
1689C2×D4—42no—
1690C2×D4—42no—
1691C2×D4—42no—
1692C2×D4—42no—
1693C2×D4—42no—
1694C2×D4—416no—
1695C2×D4—618no—
1696C2×D4—614no—
1697C2×D4—614no—
1698C2×D4—614no—
1699C2×D4—614no—
1700C2×D4—614no—
1701C2×D4—614no—
1702C2×D4—614no—
1703C2×D4—614no—
1704C2×D4—614no—
1705C2×D4—614no—
1706C2×D4—614no—
1707C2×D4—614no—
1708C2×D4—614no—
1709C2×D4—614no—
1710C2×D4—614no—
1711C2×D4—614no—
1712C2×D4—614no—
1713C2×D4—614no—
1714C2×D4—614no—
1715C2×D4—614no—
1716C2×D4—614no—
1717C2×D4—614no—
1718C2×D4—614no—
1719C2×D4—614no—
1720C2×D4—614no—
1721C2×D4—614no—
1722C2×D4—614no—
1723C2×D4—614no—
1724C2×D4—1224no—
1725C2×D4—1224no—
1726C2×D4—1224no—
1727C2×D4—1224no—
1728C2×D4—1224no—
1729C2×D4—1224no—
1730C2×D4—1224no—
1731C2×D4—12232no—
1732C2×D4—12232no—
1733C2×D4—12232no—
1734C2×D4—1224no—
1735C2×D4—1224no—
1736C2×D4—1224no—
1737C2×D4—1224no—
1738C2×D4—1224no—
1739C2×D4—1224no—
1740C2×D4—1224no—
1741C2×D4—2442no—
1742C2×D4—2442no—
1743C2×D4—2442no—
1744C2×D4—2442no—
1745C2×D4—2442no—
1746C2×D4—24416no—
1747C2×D4—24416no—
1748C2×D4—2442no—
1749C2×D4—2442no—
1750C2×D4—2442no—
1751C2×D4—2442no—
1752C2×D4—2442no—
1753C2×D4—2442no—
1754C2×D4—2442no—
1755C2×D4—2442no—
1756C2×D4—24416no—
1757C2×D4—24416no—
1758C2×D4—24416no—
1759C2×D4C23×D6114yes—
1760C2×D4C23×D6114yes—
1761C2×D4C23×D6114yes—
1762C2×D4C23×D6114yes—
1763C2×D4C23×D6114yes—
1764C2×D4C23×D6114yes—
1765C2×D4C23×D6114yes—
1766C2×D4C23×D6114yes—
1767C2×D4C23×D6114yes—
1768C22×C4—24no—
1769C22×C4—42no—
1770C22×C4—42no—
1771C22×C4—42no—
1772C22×C4—42no—
1773C22×C4—42no—
1774C22×C4—611no—
1775C22×C4—611no—
1776C22×C4—614no—
1777C22×C4—614no—
1778C22×C4—614no—
1779C22×C4—614no—
1780C22×C4—614no—
1781C22×C4—611no—
1782C22×C4—611no—
1783C22×C4—611no—
1784C22×C4—611no—
1785C22×C4—611no—
1786C22×C4—611no—
1787C22×C4—611no—
1788C22×C4—611no—
1789C22×C4—611no—
1790C22×C4—614no—
1791C22×C4—614no—
1792C22×C4—614no—
1793C22×C4—614no—
1794C22×C4—614no—
1795C22×C4—614no—
1796C22×C4—614no—
1797C22×C4—614no—
1798C22×C4—614no—
1799C22×C4—614no—
1800C22×C4—614no—
1801C22×C4—614no—
1802C22×C4—614no—
1803C22×C4—614no—
1804C22×C4—614no—
1805C22×C4—614no—
1806C22×C4—1224no—
1807C22×C4—1224no—
1808C22×C4—1224no—
1809C22×C4—1224no—
1810C22×C4—1224no—
1811C22×C4—1224no—
1812C22×C4—1224no—
1813C22×C4—1224no—
1814C22×C4—2442no—
1815C22×C4—2442no—
1816C22×C4—2442no—
1817C22×C4—2442no—
1818C22×C4—2442no—
1819C22×C4—2442no—
1820C22×C4—2442no—
1821C22×C4—2442no—
1822C22×C4—24416no—
1823C22×C4—24416no—
1824C22×C4—2442no—
1825C22×C4—2442no—
1826C22×C4—2442no—
1827C22×C4—2442no—
1828C22×C4—2442no—
1829C22×C4C23×D6114yes—
1830C22×C4C23×D6111yescharacteristic
1831C22×C4C23×D6111yescharacteristic
1832C22×C4C23×D6111yescharacteristic
1833C22×C4C23×D6111yescharacteristic
1834C22×C4C23×D6111yescharacteristic
1835C22×C4C23×D6111yescharacteristic
1836C22×C4C23×D6111yescharacteristic
1837C22×C4C23×D6111yescharacteristic
1838C22×C4C23×D6111yescharacteristic
1839C22×C4C23×D6114yes—
1840C22×C4C23×D6114yes—
1841C22×C4C23×D6114yes—
1842C22×C4C23×D6114yes—
1843C22×C4C23×D6114yes—
1844C4⋊C4—614no—
1845C4⋊C4—614no—
1846C4⋊C4—614no—
1847C4⋊C4—614no—
1848C4⋊C4—614no—
1849C4⋊C4—614no—
1850C4⋊C4—614no—
1851C4⋊C4—614no—
1852C4⋊C4—614no—
1853C4⋊C4—614no—
1854C4⋊C4—614no—
1855C4⋊C4—614no—
1856C4⋊C4—614no—
1857C4⋊C4—614no—
1858C4⋊C4—614no—
1859C4⋊C4—614no—
1860C4⋊C4—614no—
1861C4⋊C4—614no—
1862C4⋊C4—614no—
1863C4⋊C4—614no—
1864C4⋊C4—614no—
1865C4⋊C4—614no—
1866C4⋊C4C23×D6114yes—
1867C4⋊C4C23×D6114yes—
1868C4⋊C4C23×D6114yes—
1869C4⋊C4C23×D6114yes—
1870C22⋊C4—614no—
1871C22⋊C4—614no—
1872C22⋊C4—614no—
1873C22⋊C4—614no—
1874C22⋊C4—614no—
1875C22⋊C4—614no—
1876C22⋊C4—614no—
1877C22⋊C4—614no—
1878C22⋊C4—614no—
1879C22⋊C4—614no—
1880C22⋊C4—614no—
1881C22⋊C4—614no—
1882C22⋊C4—614no—
1883C22⋊C4—614no—
1884C22⋊C4—614no—
1885C22⋊C4—614no—
1886C22⋊C4—614no—
1887C22⋊C4—614no—
1888C22⋊C4—614no—
1889C22⋊C4—614no—
1890C22⋊C4—614no—
1891C22⋊C4—614no—
1892C22⋊C4—614no—
1893C22⋊C4—614no—
1894C22⋊C4—614no—
1895C22⋊C4—614no—
1896C22⋊C4—614no—
1897C22⋊C4—614no—
1898C22⋊C4—614no—
1899C22⋊C4—614no—
1900C22⋊C4—614no—
1901C22⋊C4—614no—
1902C22⋊C4—614no—
1903C22⋊C4—614no—
1904C22⋊C4C23×D6114yes—
1905C22⋊C4C23×D6114yes—
1906C22⋊C4C23×D6114yes—
1907C22⋊C4C23×D6114yes—
1908C22⋊C4C23×D6114yes—
1909C22⋊C4C23×D6114yes—
1910C22⋊C4C23×D6114yes—
1911C22⋊C4C23×D6114yes—
1912C22⋊C4C23×D6114yes—
1913C22⋊C4C23×D6114yes—
1914C22⋊C4C23×D6114yes—
1915C22⋊C4C23×D6114yes—
1916C42—614no—
1917C42—614no—
1918C42—614no—
1919C42—614no—
1920C42—614no—
1921C42—614no—
1922C42—614no—
1923C42—614no—
1924C42—614no—
1925C42C23×D6114yes—
1926C23—22no—
1927C23—22no—
1928C23—22no—
1929C23—22no—
1930C23—22no—
1931C23—22no—
1932C23—28no—
1933C23—22no—
1934C23—22no—
1935C23—22no—
1936C23—22no—
1937C23—22no—
1938C23—22no—
1939C23—22no—
1940C23—22no—
1941C23—22no—
1942C23—28no—
1943C23—22no—
1944C23—28no—
1945C23—44no—
1946C23—44no—
1947C23—44no—
1948C23—416no—
1949C23—88no—
1950C23—614no—
1951C23—612no—
1952C23—612no—
1953C23—612no—
1954C23—612no—
1955C23—612no—
1956C23—1228no—
1957C23—1228no—
1958C23—1228no—
1959C23—1222no—
1960C23—1222no—
1961C23—1228no—
1962C23—1222no—
1963C23—1222no—
1964C23—1222no—
1965C23—1222no—
1966C23—1222no—
1967C23—1222no—
1968C23—1222no—
1969C23—1222no—
1970C23—1222no—
1971C23—1222no—
1972C23—1222no—
1973C23—1228no—
1974C23—1222no—
1975C23—4888no—
1976C23—4888no—
1977C23—4888no—
1978C23—2444no—
1979C23—2444no—
1980C23—2444no—
1981C23—2444no—
1982C23—2444no—
1983C23—2444no—
1984C23—2444no—
1985C23—24416no—
1986C23#41×D6114yes—
1987C23#1451982214yes—
1988C23C24×D6112yes—
1989C23C24×D6112yes—
1990C23C24×D6112yes—
1991C23C24×D6112yes—
1992C23C24×D6112yes—
1993C23C24×D6112yes—
1994C23C24×D6111yescharacteristic
1995Q8—44no—
1996Q8—1228no—
1997Q8—2444no—
1998D4—28no—
1999D4—28no—
2000D4—28no—
2001D4—28no—
2002D4—44no—
2003D4—44no—
2004D4—44no—
2005D4—44no—
2006D4—44no—
2007D4—6116no—
2008D4—1228no—
2009D4—1228no—
2010D4—1228no—
2011D4—1228no—
2012D4—1228no—
2013D4—1228no—
2014D4—1228no—
2015D4—1228no—
2016D4—1228no—
2017D4—1228no—
2018D4—1228no—
2019D4—1228no—
2020D4—1228no—
2021D4—1228no—
2022D4—2444no—
2023D4—2444no—
2024D4—2444no—
2025D4—2444no—
2026D4—2444no—
2027D4—2444no—
2028D4—2444no—
2029D4—2444no—
2030D4—2444no—
2031D4—2444no—
2032D4—2444no—
2033D4—2444no—
2034D4—2444no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—28no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—44no—
2046C2×C4—44no—
2047C2×C4—44no—
2048C2×C4—44no—
2049C2×C4—44no—
2050C2×C4—614no—
2051C2×C4—614no—
2052C2×C4—612no—
2053C2×C4—612no—
2054C2×C4—612no—
2055C2×C4—612no—
2056C2×C4—612no—
2057C2×C4—612no—
2058C2×C4—612no—
2059C2×C4—612no—
2060C2×C4—612no—
2061C2×C4—612no—
2062C2×C4—612no—
2063C2×C4—1228no—
2064C2×C4—1228no—
2065C2×C4—1228no—
2066C2×C4—1228no—
2067C2×C4—1228no—
2068C2×C4—1228no—
2069C2×C4—1228no—
2070C2×C4—1228no—
2071C2×C4—1222no—
2072C2×C4—1222no—
2073C2×C4—1222no—
2074C2×C4—1222no—
2075C2×C4—1222no—
2076C2×C4—1222no—
2077C2×C4—1222no—
2078C2×C4—1222no—
2079C2×C4—1222no—
2080C2×C4—2444no—
2081C2×C4—2444no—
2082C2×C4—2444no—
2083C2×C4—2444no—
2084C2×C4—2444no—
2085C2×C4—2444no—
2086C2×C4—2444no—
2087C2×C4—2444no—
2088C2×C4—2444no—
2089C2×C4—2444no—
2090C2×C4—2444no—
2091C2×C4—2444no—
2092C2×C4—2444no—
2093C2×C4C24×D6112yes—
2094C2×C4C24×D6112yes—
2095C2×C4C24×D6112yes—
2096C2×C4C24×D6112yes—
2097C2×C4C24×D6112yes—
2098C2×C4C24×D6112yes—
2099C2×C4C24×D6112yes—
2100C2×C4C24×D6112yes—
2101C2×C4C24×D6112yes—
2102C22—28no—
2103C22—28no—
2104C22—22no—
2105C22—22no—
2106C22—22no—
2107C22—22no—
2108C22—22no—
2109C22—22no—
2110C22—22no—
2111C22—22no—
2112C22—22no—
2113C22—22no—
2114C22—22no—
2115C22—22no—
2116C22—22no—
2117C22—22no—
2118C22—22no—
2119C22—22no—
2120C22—416no—
2121C22—44no—
2122C22—44no—
2123C22—44no—
2124C22—44no—
2125C22—88no—
2126C22—614no—
2127C22—1228no—
2128C22—1222no—
2129C22—1222no—
2130C22—1222no—
2131C22—1222no—
2132C22—1222no—
2133C22—1222no—
2134C22—1222no—
2135C22—1222no—
2136C22—1222no—
2137C22—1222no—
2138C22—1222no—
2139C22—1222no—
2140C22—1222no—
2141C22—1222no—
2142C22—4888no—
2143C22—4888no—
2144C22—4888no—
2145C22—24416no—
2146C22—2444no—
2147C22—2444no—
2148C22—2444no—
2149C22—2444no—
2150C22C2×#41×D6114yes—
2151C22C2×#41×D6112yes—
2152C22H(5,𝔽2)×D6112yes—
2153C22C2×#1451982214yes—
2154C22C2×#1451982212yes—
2155C22C25×D6111yescharacteristic
2156C4—22no—
2157C4—22no—
2158C4—22no—
2159C4—22no—
2160C4—22no—
2161C4—22no—
2162C4—22no—
2163C4—22no—
2164C4—22no—
2165C4—614no—
2166C4—614no—
2167C4—1222no—
2168C4—1222no—
2169C4—1222no—
2170C4—1222no—
2171C4—1222no—
2172C4—1222no—
2173C4—1222no—
2174C4—1222no—
2175C4—1222no—
2176C2—24no—
2177C2—24no—
2178C2—42no—
2179C2—42no—
2180C2—42no—
2181C2—42no—
2182C2—1224no—
2183C2—2442no—
2184C2—2442no—
2185C2—2442no—
2186C2—2442no—
2187C2#2145984014yesdirect product factor
2188C2C22×#41×D6111yescharacteristic
2189C2C2×H(5,𝔽2)×D6111yescharacteristic
2190C2C22×#1451982211yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×C61×#546C2
socleC23×C61C25
hypercenterC2×#546D61
hypocenterC61C2×#3519
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. #21459840C2direct (N × H)
2. C2×#16840474C2semidirect
3. C2×#16840466C2semidirect
4. C2×#16840461C2semidirect
5. C2×#16840461C2semidirect
6. C2×#16840457C2semidirect
7. C2×#16840455C2semidirect
8. C2×#16840430C2semidirect
9. C2×#16840404C2semidirect
10. C2×#16840402C2semidirect
11. C2×#16840402C2semidirect
12. C2×#16840401C2semidirect
13. C2×#16840400C2semidirect
14. C2×D4×C22⋊D61C2semidirect
15. C2×#16840394C2semidirect
16. C2×#16840394C2semidirect
17. C2×#16840364C2semidirect
18. C2×#16840362C2semidirect
19. C2×#16840352C2semidirect
20. C2×#16840347C2semidirect
21. C2×#16840346C2semidirect
22. C2×#16840344C2semidirect
23. C2×#16840308C2semidirect
24. C2×#16840289C2semidirect
25. C2×#16840271C2semidirect
26. C2×#16840268C2semidirect
27. C22×#14519749C2semidirect
28. C2×#121×D61C2semidirect
29. C2×#16840235C2semidirect
30. C2×#16840234C2semidirect
31. C22×#14519737C2semidirect
32. C2×C61×#546C2semidirect
33. C22×#11758222C22semidirect
34. C22×#11758222C22semidirect
35. C22×#11758224C22semidirect
38. C23×C22⋊D61C22semidirect
39. C23×C22⋊D61C22semidirect
41. C22×D4×D61C22semidirect
42. C22×D4×D61C22semidirect
43. C22×D4×D61C22semidirect
44. C24×Dic61C22semidirect
45. C23×C4×D61C22semidirect
46. #16840474C22semidirect
47. #16840466C22semidirect
48. #16840461C22semidirect
49. #16840461C22semidirect
50. #16840457C22semidirect
51. #16840455C22semidirect
52. #16840430C22semidirect
53. #16840404C22semidirect
54. #16840402C22semidirect
55. #16840402C22semidirect
56. #16840401C22semidirect
57. #16840400C22semidirect
58. D4×C22⋊D61C22semidirect
59. #16840394C22semidirect
60. #16840394C22semidirect
61. #16840364C22semidirect
62. #16840362C22semidirect
63. #16840352C22semidirect
64. #16840347C22semidirect
65. #16840346C22semidirect
66. #16840344C22semidirect
67. #16840308C22semidirect
68. C2×#14519775C22semidirect
69. C2×#14519773C22semidirect
70. C2×#14519773C22semidirect
71. C2×#14519773C22semidirect
72. #16840289C22semidirect
73. C2×#14519772C22semidirect
74. C2×#14519772C22semidirect
75. C2×#14519771C22semidirect
76. C2×#14519770C22semidirect
77. C2×#14519770C22semidirect
78. C2×#14519770C22semidirect
79. C2×#14519767C22semidirect
80. C2×#14519767C22semidirect
81. C2×#14519767C22semidirect
82. C2×#14519766C22semidirect
83. C2×#14519766C22semidirect
84. C2×#14519764C22semidirect
85. C2×#14519763C22semidirect
86. C2×#14519763C22semidirect
87. C2×#14519763C22semidirect
88. #16840271C22semidirect
89. #16840268C22semidirect
90. C2×#14519762C22semidirect
91. C2×#14519762C22semidirect
92. C2×#14519762C22semidirect
93. C2×#14519761C22semidirect
94. C2×#14519760C22semidirect
95. C2×#14519760C22semidirect
96. C2×#14519760C22semidirect
97. C2×#14519759C22semidirect
98. C2×#14519759C22semidirect
99. C2×#14519759C22semidirect
100. C2×#14519758C22semidirect
101. C2×#14519758C22semidirect
102. C2×#14519755C22semidirect
103. C2×#14519755C22semidirect
104. C2×#14519754C22semidirect
105. C2×#14519754C22semidirect
106. C2×#14519754C22semidirect
107. C2×#14519753C22semidirect
108. C2×#14519752C22semidirect
109. C2×#14519752C22semidirect
110. C2×#14519751C22semidirect
111. C2×#14519751C22semidirect
112. C2×#14519751C22semidirect
113. C2×#14519750C22semidirect
114. C2×#14519750C22semidirect
115. C2×#14519750C22semidirect
116. C2×#14519750C22semidirect
117. C2×#14519750C22semidirect
118. C2×#14519750C22semidirect
119. C2×#14519750C22semidirect
120. C2×#14519750C22semidirect
121. C2×#14519750C22semidirect
123. C2×#14519749C22semidirect
124. C2×#14519749C22semidirect
125. C2×#14519749C22semidirect
126. C2×#14519749C22semidirect
127. C2×#14519749C22semidirect
128. C2×#14519749C22semidirect
129. C2×#14519749C22semidirect
130. C2×#14519749C22semidirect
131. C2×#14519749C22semidirect
132. C2×#14519749C22semidirect
133. C2×#14519749C22semidirect
134. C2×#14519749C22semidirect
135. C2×#14519749C22semidirect
136. C2×#14519749C22semidirect
137. C2×#14519749C22semidirect
138. C2×#14519749C22semidirect
139. C2×#14519748C22semidirect
140. C2×#14519748C22semidirect
141. #121×D61C22semidirect
142. C2×#14519747C22semidirect
143. C2×#14519747C22semidirect
144. C2×#14519747C22semidirect
145. C2×#14519747C22semidirect
146. C2×#14519746C22semidirect
147. C2×#14519746C22semidirect
148. C2×#14519745C22semidirect
149. C2×#14519745C22semidirect
150. C2×#14519745C22semidirect
151. C2×#14519745C22semidirect
152. #16840235C22semidirect
153. #16840234C22semidirect
154. C2×#14519742C22semidirect
155. C2×C4×D244C22semidirect
156. C2×D4×Dic61C22semidirect
157. C2×D4×Dic61C22semidirect
158. C2×D4×Dic61C22semidirect
159. C2×#14519739C22semidirect
161. C2×C4×C22⋊D61C22semidirect
162. C2×C4×C22⋊D61C22semidirect
163. C2×C4×C22⋊D61C22semidirect
164. C2×C4×C22⋊D61C22semidirect
165. C2×C4×C22⋊D61C22semidirect
166. C2×C4×C22⋊D61C22semidirect
167. C2×C4×C22⋊D61C22semidirect
168. C2×C4×C22⋊D61C22semidirect
172. C2×#14519737C22semidirect
173. C2×#14519737C22semidirect
174. C2×#14519737C22semidirect
175. C2×#14519737C22semidirect
176. C2×#14519737C22semidirect
177. C2×#14519737C22semidirect
178. C2×#14519737C22semidirect
179. C2×#14519737C22semidirect
180. C2×#14519737C22semidirect
181. C2×#14519737C22semidirect
182. C2×#14519737C22semidirect
183. C2×#14519737C22semidirect
184. C2×#14519737C22semidirect
185. C2×#14519735C22semidirect
186. C2×#14519734C22semidirect
187. C2×#14519734C22semidirect
188. C2×#14519733C22semidirect
189. C2×#14519733C22semidirect
190. C2×#14519733C22semidirect
191. C22×#11758196C22semidirect
192. C22×#11758196C22semidirect
193. C2×C4⋊C4×D61C22semidirect
194. C22×C22⋊Dic61C22semidirect
195. C22×#11758198C22semidirect
196. C22×#11758198C22semidirect
197. C22×#11758198C22semidirect
198. C2×C22⋊C4×D61C22semidirect
199. C2×C22⋊C4×D61C22semidirect
200. C2×C22⋊C4×D61C22semidirect
201. C2×C22⋊C4×D61C22semidirect
202. C22×C4×Dic61C22semidirect
203. C22×#41×C61C22semidirect
204. C23×D4×C61C22semidirect
205. C61×#546C22semidirect
206. C2×#124×C61C22semidirect
207. C2×#123×C61C22semidirect
208. C2×#123×C61C22semidirect
209. C2×C22⋊Q8×C61C22semidirect
210. C2×#121×C61C22semidirect
211. C2×#121×C61C22semidirect
212. C2×#121×C61C22semidirect
213. C2×#120×C61C22semidirect
214. C2×#120×C61C22semidirect
215. C2×C4×D4×C61C22semidirect
216. C2×C4×D4×C61C22semidirect
217. C22×C22⋊C4×C61C22semidirect
218. C22×C22⋊C4×C61C22semidirect
225. C2×#11758222C23semidirect
226. C2×#11758222C23semidirect
228. C2×#11758224C23semidirect
265. C22×C22⋊D61C23semidirect
266. C22×C22⋊D61C23semidirect
272. C2×D4×D61C23semidirect
273. C2×D4×D61C23semidirect
274. C2×D4×D61C23semidirect
286. C23×Dic61C23semidirect
299. C22×C4×D61C23semidirect
300. #14519775C23semidirect
301. #14519773C23semidirect
302. #14519773C23semidirect
303. #14519773C23semidirect
304. #14519772C23semidirect
305. #14519772C23semidirect
306. #14519771C23semidirect
307. #14519770C23semidirect
308. #14519770C23semidirect
309. #14519770C23semidirect
310. #14519767C23semidirect
311. #14519767C23semidirect
312. #14519767C23semidirect
313. #14519766C23semidirect
314. #14519766C23semidirect
315. #14519764C23semidirect
316. #14519763C23semidirect
317. #14519763C23semidirect
318. #14519763C23semidirect
319. #14519762C23semidirect
320. #14519762C23semidirect
321. #14519762C23semidirect
322. #14519761C23semidirect
323. #14519760C23semidirect
324. #14519760C23semidirect
325. #14519760C23semidirect
326. #14519759C23semidirect
327. #14519759C23semidirect
328. #14519759C23semidirect
329. #14519758C23semidirect
330. #14519758C23semidirect
331. #14519755C23semidirect
332. #14519755C23semidirect
333. #14519754C23semidirect
334. #14519754C23semidirect
335. #14519754C23semidirect
336. #14519753C23semidirect
337. #14519752C23semidirect
338. #14519752C23semidirect
339. #14519751C23semidirect
340. #14519751C23semidirect
341. #14519751C23semidirect
342. #14519750C23semidirect
343. #14519750C23semidirect
344. #14519750C23semidirect
345. #14519750C23semidirect
346. #14519750C23semidirect
347. #14519750C23semidirect
348. #14519750C23semidirect
349. #14519750C23semidirect
350. #14519750C23semidirect
352. #14519749C23semidirect
353. #14519749C23semidirect
354. #14519749C23semidirect
355. #14519749C23semidirect
356. #14519749C23semidirect
357. #14519749C23semidirect
358. #14519749C23semidirect
359. #14519749C23semidirect
360. #14519749C23semidirect
361. #14519749C23semidirect
362. #14519749C23semidirect
363. #14519749C23semidirect
364. #14519749C23semidirect
365. #14519749C23semidirect
366. #14519749C23semidirect
367. #14519748C23semidirect
368. #14519748C23semidirect
369. #14519747C23semidirect
370. #14519747C23semidirect
371. #14519747C23semidirect
372. #14519747C23semidirect
373. #14519746C23semidirect
374. #14519746C23semidirect
375. #14519745C23semidirect
376. #14519745C23semidirect
377. #14519745C23semidirect
378. #14519745C23semidirect
379. #14519742C23semidirect
380. C4×D244C23semidirect
381. D4×Dic61C23semidirect
382. D4×Dic61C23semidirect
383. D4×Dic61C23semidirect
384. #14519739C23semidirect
386. C4×C22⋊D61C23semidirect
387. C4×C22⋊D61C23semidirect
388. C4×C22⋊D61C23semidirect
389. C4×C22⋊D61C23semidirect
390. C4×C22⋊D61C23semidirect
391. C4×C22⋊D61C23semidirect
392. C4×C22⋊D61C23semidirect
393. C4×C22⋊D61C23semidirect
397. #14519737C23semidirect
398. #14519737C23semidirect
399. #14519737C23semidirect
400. #14519737C23semidirect
401. #14519737C23semidirect
402. #14519737C23semidirect
403. #14519737C23semidirect
404. #14519737C23semidirect
405. #14519737C23semidirect
406. #14519737C23semidirect
407. #14519737C23semidirect
408. #14519737C23semidirect
409. #14519735C23semidirect
410. #14519734C23semidirect
411. #14519734C23semidirect
412. #14519733C23semidirect
413. #14519733C23semidirect
414. #14519733C23semidirect
437. C2×#11758196C23semidirect
438. C2×#11758196C23semidirect
439. C4⋊C4×D61C23semidirect
452. C2×C22⋊Dic61C23semidirect
475. C2×#11758198C23semidirect
476. C2×#11758198C23semidirect
477. C2×#11758198C23semidirect
478. C22⋊C4×D61C23semidirect
479. C22⋊C4×D61C23semidirect
480. C22⋊C4×D61C23semidirect
481. C22⋊C4×D61C23semidirect
491. C2×C4×Dic61C23semidirect
495. C2×#41×C61C23semidirect
507. C22×D4×C61C23semidirect
514. #124×C61C23semidirect
515. #123×C61C23semidirect
516. #123×C61C23semidirect
517. C22⋊Q8×C61C23semidirect
518. #121×C61C23semidirect
519. #121×C61C23semidirect
520. #121×C61C23semidirect
521. #120×C61C23semidirect
522. #120×C61C23semidirect
523. C4×D4×C61C23semidirect
524. C4×D4×C61C23semidirect
541. C2×C22⋊C4×C61C23semidirect
542. C2×C22⋊C4×C61C23semidirect
647. C2×C22⋊D61#41semidirect
954. C22⋊D61C2×#41semidirect
1094. C2×#546D61semidirect
1119. C2×C61#3519semidirect
1131. C22×#41C2×D61semidirect
1140. C23×D4C2×D61semidirect
1155. #546C2×D61semidirect
1186. C2×#124C2×D61semidirect
1201. C2×#123C2×D61semidirect
1202. C2×#123C2×D61semidirect
1209. C2×C22⋊Q8C2×D61semidirect
1244. C2×#121C2×D61semidirect
1245. C2×#121C2×D61semidirect
1246. C2×#121C2×D61semidirect
1257. C2×#120C2×D61semidirect
1258. C2×#120C2×D61semidirect
1292. C2×C4×D4C2×D61semidirect
1293. C2×C4×D4C2×D61semidirect
1311. C22×C22⋊C4C2×D61semidirect
1312. C22×C22⋊C4C2×D61semidirect
1314. C61C2×#3519semidirect
1328. C2×#41C22×D61semidirect
1386. C22×D4C22×D61semidirect
1437. #124C22×D61semidirect
1450. #123C22×D61semidirect
1451. #123C22×D61semidirect
1458. C22⋊Q8C22×D61semidirect
1491. #121C22×D61semidirect
1492. #121C22×D61semidirect
1493. #121C22×D61semidirect
1504. #120C22×D61semidirect
1505. #120C22×D61semidirect
1536. C4×D4C22×D61semidirect
1537. C4×D4C22×D61semidirect
1627. C2×C22⋊C4C22×D61semidirect
1628. C2×C22⋊C4C22×D61semidirect
2187. C2#21459840direct (N × H)

Maximal subgroups

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

subgroupindex
#214598402
C2×#168404742
C2×#168404662
C2×#168404612
C2×#168404572
C2×#168404552
C2×#168404302
C2×#168404042
C2×#168404022
C2×#168404012
C2×#168404002
C2×D4×C22⋊D612
C2×#168403942
C2×#168403642
C2×#168403622
C2×#168403522
C2×#168403472
C2×#168403462
C2×#168403442
C2×#168403082
C2×#168402892
C2×#168402712
C2×#168402682
C22×#145197492
C2×#121×D612
C2×#168402352
C2×#168402342
C22×#145197372
C2×C61×#5462
C2×#351961