Finite Group Databasebeta

← C2×#21460012 #30587199

Subgroups — C2×#21460012 #30587199

Order 15616.

8166 conjugacy classes of subgroups.

The subgroup lattice has 2164 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460012C2132yesmaximal, direct product factor
2C2×#16840509C211yesmaximal, characteristic, complemented
3C2×#16840508C211yesmaximal, characteristic, complemented
4C2×#16840503C211yesmaximal, characteristic, complemented
5C2×#16840502C211yesmaximal, characteristic, complemented
6C2×#16840463C211yesmaximal, characteristic, complemented
7C2×#16840456C211yesmaximal, characteristic, complemented
8C2×#16840436C211yesmaximal, characteristic, complemented
9C2×#16840408C211yesmaximal, characteristic, complemented
10C2×#16840405C211yesmaximal, characteristic, complemented
11C2×#16840404C211yesmaximal, characteristic, complemented
12C2×#16840403C211yesmaximal, characteristic, complemented
13C2×#16840402C211yesmaximal, characteristic, complemented
14C2×#16840402C211yesmaximal, characteristic, complemented
15C2×D4×D244C211yesmaximal, characteristic, complemented
16C2×#16840394C211yesmaximal, characteristic, complemented
17C2×#16840367C211yesmaximal, characteristic, complemented
18C2×#16840363C211yesmaximal, characteristic, complemented
19C2×#16840361C211yesmaximal, characteristic, complemented
20C2×#16840354C211yesmaximal, characteristic, complemented
21C2×#16840353C211yesmaximal, characteristic, complemented
22C2×#16840351C211yesmaximal, characteristic, complemented
23C2×#16840348C211yesmaximal, characteristic, complemented
24C2×#16840346C211yesmaximal, characteristic, complemented
25C2×#16840342C211yesmaximal, characteristic, complemented
26C2×#16840324C211yesmaximal, characteristic, complemented
27C2×#16840323C211yesmaximal, characteristic, complemented
28C2×#16840322C211yesmaximal, characteristic, complemented
29C2×#16840274C211yesmaximal, characteristic, complemented
30C2×#123×D61C211yesmaximal, characteristic, complemented
31C22×#14519750C211yesmaximal, characteristic, complemented
32C2×C61×#551C211yesmaximal, characteristic, complemented
33C22×#11758226C2211yescharacteristic, complemented
34C22×#11758222C2211yescharacteristic, complemented
35C22×#11758222C2211yescharacteristic, complemented
36C23×D244C2211yescharacteristic, complemented
37C23×D244C2211yescharacteristic, complemented
38C23×C22⋊D61C2211yescharacteristic, complemented
39C23×C22⋊D61C2211yescharacteristic, complemented
40C23×C22⋊D61C2211yescharacteristic, complemented
41C22×D4×D61C2211yescharacteristic
42C22×D4×D61C2211yescharacteristic, complemented
43C22×D4×D61C2211yescharacteristic, complemented
44C23×C4×D61C2211yescharacteristic, complemented
45#16840509C22116yescomplemented
46#16840508C22116yescomplemented
47#16840503C22116yescomplemented
48#16840502C22116yescomplemented
49#16840463C22116yescomplemented
50#16840456C22116yescomplemented
51#16840436C22116yescomplemented
52#16840408C22116yescomplemented
53#16840405C22116yescomplemented
54#16840404C22116yescomplemented
55#16840403C22116yescomplemented
56#16840402C22116yescomplemented
57#16840402C22116yescomplemented
58D4×D244C22116yescomplemented
59#16840394C22116yescomplemented
60#16840367C22116yescomplemented
61#16840363C22116yescomplemented
62#16840361C22116yescomplemented
63#16840354C22116yescomplemented
64#16840353C22116yescomplemented
65#16840351C22116yescomplemented
66#16840348C22116yescomplemented
67#16840346C22116yescomplemented
68#16840342C22116yescomplemented
69#16840324C22116yescomplemented
70#16840323C22116yescomplemented
71#16840322C22116yescomplemented
72C2×#14519774C2211yescharacteristic, complemented
73C2×#14519773C2211yescharacteristic, complemented
74C2×#14519772C2211yescharacteristic, complemented
75C2×#14519772C2211yescharacteristic, complemented
76C2×#14519772C2211yescharacteristic, complemented
77C2×#14519771C2211yescharacteristic, complemented
78C2×#14519771C2211yescharacteristic, complemented
79C2×#14519770C2211yescharacteristic, complemented
80C2×#14519769C2211yescharacteristic, complemented
81C2×#14519768C2211yescharacteristic, complemented
82C2×#14519768C2211yescharacteristic, complemented
83C2×#14519767C2211yescharacteristic, complemented
84C2×#14519766C2211yescharacteristic, complemented
85C2×#14519765C2211yescharacteristic, complemented
86C2×#14519763C2211yescharacteristic, complemented
87C2×#14519763C2211yescharacteristic, complemented
88C2×#14519763C2211yescharacteristic, complemented
89#16840274C22116yescomplemented
90C2×#14519762C2211yescharacteristic, complemented
91C2×#14519762C2211yescharacteristic, complemented
92C2×#14519762C2211yescharacteristic, complemented
93C2×#14519762C2211yescharacteristic, complemented
94C2×#14519762C2211yescharacteristic, complemented
95C2×#14519762C2211yescharacteristic, complemented
96C2×#14519762C2211yescharacteristic, complemented
97C2×#14519762C2211yescharacteristic, complemented
98C2×#14519762C2211yescharacteristic, complemented
99C2×#14519761C2211yescharacteristic, complemented
100C2×#14519761C2211yescharacteristic, complemented
101C2×#14519761C2211yescharacteristic, complemented
102C2×#14519761C2211yescharacteristic, complemented
103C2×#14519761C2211yescharacteristic, complemented
104C2×#14519760C2211yescharacteristic, complemented
105C2×#14519760C2211yescharacteristic, complemented
106C2×#14519760C2211yescharacteristic, complemented
107C2×#14519759C2211yescharacteristic, complemented
108C2×#14519759C2211yescharacteristic, complemented
109C2×#14519759C2211yescharacteristic, complemented
110C2×#14519759C2211yescharacteristic, complemented
111C2×#14519759C2211yescharacteristic, complemented
112C2×#14519759C2211yescharacteristic, complemented
113C2×#14519759C2211yescharacteristic, complemented
114C2×#14519758C2211yescharacteristic, complemented
115#123×D61C22116yescomplemented
116C2×#14519757C2211yescharacteristic, complemented
117C2×#14519757C2211yescharacteristic, complemented
118C2×#14519756C2211yescharacteristic, complemented
119C2×#14519755C2211yescharacteristic, complemented
120C2×#14519755C2211yescharacteristic, complemented
121C2×#14519755C2211yescharacteristic, complemented
122C2×#14519754C2211yescharacteristic, complemented
123C2×#14519754C2211yescharacteristic, complemented
124C2×#14519753C2211yescharacteristic, complemented
125C2×#14519753C2211yescharacteristic, complemented
126C2×#14519752C2211yescharacteristic, complemented
127C2×#14519752C2211yescharacteristic, complemented
128C2×#14519752C2211yescharacteristic, complemented
129C2×#14519752C2211yescharacteristic, complemented
130C2×#14519752C2211yescharacteristic, complemented
131C2×#14519752C2211yescharacteristic, complemented
132C2×#14519752C2211yescharacteristic, complemented
133C2×#14519752C2211yescharacteristic, complemented
134C2×#14519751C2211yescharacteristic
135C2×#14519751C2211yescharacteristic, complemented
136C2×#14519751C2211yescharacteristic, complemented
137C2×#14519751C2211yescharacteristic, complemented
138C2×#14519751C2211yescharacteristic, complemented
139C2×#14519751C2211yescharacteristic, complemented
140C2×#14519751C2211yescharacteristic, complemented
141C2×#14519750C2211yescharacteristic
142C2×#14519750C2211yescharacteristic, complemented
143C2×#14519750C2211yescharacteristic, complemented
144C2×#14519750C2211yescharacteristic, complemented
145C2×#14519750C2211yescharacteristic, complemented
146C2×#14519750C2211yescharacteristic, complemented
147C2×#14519750C2211yescharacteristic, complemented
148C2×#14519750C2211yescharacteristic, complemented
149C2×#14519750C2211yescharacteristic, complemented
150C2×#14519750C2211yescharacteristic, complemented
151C2×#14519750C2211yescharacteristic, complemented
152C2×#14519750C2211yescharacteristic, complemented
153C2×#14519750C2211yescharacteristic, complemented
154C2×#14519750C2211yescharacteristic, complemented
155C2×#14519750C2211yescharacteristic, complemented
156C2×#14519750C2211yescharacteristic, complemented
157C2×#14519750C2211yescharacteristic, complemented
158C2×#14519750C22116yescomplemented
159C2×#14519749C2211yescharacteristic
160C2×#14519749C2211yescharacteristic, complemented
161C2×#14519748C2211yescharacteristic, complemented
162C2×#14519748C2211yescharacteristic, complemented
163C2×#14519747C2211yescharacteristic
164C2×#14519747C2211yescharacteristic, complemented
165C2×#14519747C2211yescharacteristic, complemented
166C2×#14519747C2211yescharacteristic, complemented
167C2×#14519747C2211yescharacteristic, complemented
168C2×#14519747C2211yescharacteristic, complemented
169C2×#14519747C2211yescharacteristic, complemented
170C2×#14519747C2211yescharacteristic, complemented
171C2×#14519747C2211yescharacteristic, complemented
172C2×#14519747C2211yescharacteristic, complemented
173C2×#14519747C2211yescharacteristic, complemented
174C2×#14519746C2211yescharacteristic, complemented
175C2×#14519745C2211yescharacteristic, complemented
176C2×#14519745C2211yescharacteristic, complemented
177C2×#14519745C2211yescharacteristic, complemented
178C2×C4×D244C2211yescharacteristic, complemented
179C2×C4×D244C2211yescharacteristic, complemented
180C2×C4×D244C2211yescharacteristic, complemented
181C2×C4×D244C2211yescharacteristic, complemented
182C2×C4×D244C2211yescharacteristic, complemented
183C2×C4×D244C2211yescharacteristic, complemented
184C2×#14519739C2211yescharacteristic, complemented
185C2×#14519739C2211yescharacteristic, complemented
186C2×C4×C22⋊D61C2211yescharacteristic, complemented
187C2×C4×C22⋊D61C2211yescharacteristic, complemented
188C2×#14519737C2211yescharacteristic, complemented
189C2×#14519737C2211yescharacteristic, complemented
190C2×#14519737C2211yescharacteristic, complemented
191C2×#14519737C2211yescharacteristic, complemented
192C2×#14519734C2211yescharacteristic, complemented
193C22×#11758196C2211yescharacteristic, complemented
194C2×C4⋊C4×D61C2211yescharacteristic, complemented
195C2×C4⋊C4×D61C2211yescharacteristic, complemented
196C22×#11758198C2211yescharacteristic, complemented
197C2×C22⋊C4×D61C2211yescharacteristic, complemented
198C2×C22⋊C4×D61C2211yescharacteristic, complemented
199C2×C22⋊C4×D61C2211yescharacteristic, complemented
200C2×C22⋊C4×D61C2211yescharacteristic, complemented
201C2×C22⋊C4×D61C2211yescharacteristic, complemented
202C2×C22⋊C4×D61C2211yescharacteristic, complemented
203C61×#551C22116yescomplemented
204C2×#126×C61C2211yescharacteristic, complemented
205C2×#126×C61C2211yescharacteristic, complemented
206C2×#124×C61C2211yescharacteristic, complemented
207C2×#123×C61C2211yescharacteristic, complemented
208C2×#123×C61C2211yescharacteristic, complemented
209C2×#123×C61C2211yescharacteristic, complemented
210C2×C22⋊Q8×C61C2211yescharacteristic, complemented
211C2×C22⋊Q8×C61C2211yescharacteristic, complemented
212C2×#120×C61C2211yescharacteristic
213C2×C4×D4×C61C2211yescharacteristic, complemented
214C2×C4×D4×C61C2211yescharacteristic, complemented
215C2×#117×C61C2211yescharacteristic, complemented
216C2×#117×C61C2211yescharacteristic, complemented
217C22×C22⋊C4×C61C2211yescharacteristic, complemented
218C22×C22⋊C4×C61C2211yescharacteristic, complemented
219C24×D61C2311yescharacteristic
220C24×D61C2311yescharacteristic
221C24×D61C2311yescharacteristic
222C24×D61C2311yescharacteristic
223C24×D61C2311yescharacteristic
224C2×#11758226—44no—
225C2×#11758226C2318yescomplemented
226C2×#11758222—44no—
227C2×#11758222—44no—
228C2×#11758222C2318yescomplemented
229C2×#11758222C2318yescomplemented
230C22×Dic122C2311yescharacteristic
231C22×Dic122C2311yescharacteristic
232C22×D244—44no—
233C22×D244—44no—
234C22×D244C2311yescharacteristic
235C22×D244C2311yescharacteristic
236C22×D244C2311yescharacteristic
237C22×D244C2311yescharacteristic
238C22×D244C2311yescharacteristic
239C22×D244C2311yescharacteristic
240C22×D244C2311yescharacteristic
241C22×D244C2311yescharacteristic
242C22×D244C2311yescharacteristic
243C22×D244C2311yescharacteristic
244C22×D244C2311yescharacteristic
245C22×D244C2311yescharacteristic
246C22×D244C2311yescharacteristic
247C22×D244C2311yescharacteristic
248C22×D244C2311yescharacteristic
249C22×D244C2311yescharacteristic
250C22×D244C2318yescomplemented
251C22×D244C2318yescomplemented
252C22×C22⋊D61—44no—
253C22×C22⋊D61—44no—
254C22×C22⋊D61—44no—
255C22×C22⋊D61C2311yescharacteristic
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⋊D61C2311yescharacteristic
266C22×C22⋊D61C2311yescharacteristic
267C22×C22⋊D61C2311yescharacteristic
268C22×C22⋊D61C2311yescharacteristic
269C22×C22⋊D61C2311yescharacteristic
270C22×C22⋊D61C2311yescharacteristic
271C22×C22⋊D61C2311yescharacteristic
272C22×C22⋊D61C2311yescharacteristic
273C22×C22⋊D61C2318yescomplemented
274C22×C22⋊D61C2318yescomplemented
275C22×C22⋊D61C2318yescomplemented
276C2×D4×D61—44no—
277C2×D4×D61—44no—
278C2×D4×D61—44no—
279C2×D4×D61C2318yes—
280C2×D4×D61C2318yescomplemented
281C2×D4×D61C2318yescomplemented
282C23×Dic61C2311yescharacteristic
283C23×Dic61C2311yescharacteristic
284C23×Dic61C2311yescharacteristic
285C22×C4×D61—44no—
286C22×C4×D61C2311yescharacteristic
287C22×C4×D61C2311yescharacteristic
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×D61C2311yescharacteristic
300C22×C4×D61C2311yescharacteristic
301C22×C4×D61C2318yescomplemented
302#14519774C2318yescomplemented
303#14519773C2318yescomplemented
304#14519772C2318yescomplemented
305#14519772C2318yescomplemented
306#14519772C2318yescomplemented
307#14519771C2318yescomplemented
308#14519771C2318yescomplemented
309#14519770C2318yescomplemented
310#14519769C2318yescomplemented
311#14519768C2318yescomplemented
312#14519768C2318yescomplemented
313#14519767C2318yescomplemented
314#14519766C2318yescomplemented
315#14519765C2318yescomplemented
316#14519763C2318yescomplemented
317#14519763C2318yescomplemented
318#14519763C2318yescomplemented
319#14519762C2318yescomplemented
320#14519762C2318yescomplemented
321#14519762C2318yescomplemented
322#14519762C2318yescomplemented
323#14519762C2318yescomplemented
324#14519762C2318yescomplemented
325#14519762C2318yescomplemented
326#14519762C2318yescomplemented
327#14519762C2318yescomplemented
328#14519761C2318yescomplemented
329#14519761C2318yescomplemented
330#14519761C2318yescomplemented
331#14519761C2318yescomplemented
332#14519761C2318yescomplemented
333#14519760C2318yescomplemented
334#14519760C2318yescomplemented
335#14519760C2318yescomplemented
336#14519759C2318yescomplemented
337#14519759C2318yescomplemented
338#14519759C2318yescomplemented
339#14519759C2318yescomplemented
340#14519759C2318yescomplemented
341#14519759C2318yescomplemented
342#14519759C2318yescomplemented
343#14519758C2318yescomplemented
344#14519757C2318yescomplemented
345#14519757C2318yescomplemented
346#14519756C2318yescomplemented
347#14519755C2318yescomplemented
348#14519755C2318yescomplemented
349#14519755C2318yescomplemented
350#14519754C2318yescomplemented
351#14519754C2318yescomplemented
352#14519753C2318yescomplemented
353#14519753C2318yescomplemented
354#14519752C2318yescomplemented
355#14519752C2318yescomplemented
356#14519752C2318yescomplemented
357#14519752C2318yescomplemented
358#14519752C2318yescomplemented
359#14519752C2318yescomplemented
360#14519752C2318yescomplemented
361#14519752C2318yescomplemented
362#14519751C2318yes—
363#14519751C2318yescomplemented
364#14519751C2318yescomplemented
365#14519751C2318yescomplemented
366#14519751C2318yescomplemented
367#14519751C2318yescomplemented
368#14519751C2318yescomplemented
369#14519750C2318yes—
370#14519750C2318yescomplemented
371#14519750C2318yescomplemented
372#14519750C2318yescomplemented
373#14519750C2318yescomplemented
374#14519750C2318yescomplemented
375#14519750C2318yescomplemented
376#14519750C2318yescomplemented
377#14519750C2318yescomplemented
378#14519750C2318yescomplemented
379#14519750C2318yescomplemented
380#14519750C2318yescomplemented
381#14519750C2318yescomplemented
382#14519750C2318yescomplemented
383#14519750C2318yescomplemented
384#14519750C2318yescomplemented
385#14519750C2318yescomplemented
386#14519749C2318yes—
387#14519749C2318yescomplemented
388#14519748C2318yescomplemented
389#14519748C2318yescomplemented
390#14519747C2318yes—
391#14519747C2318yescomplemented
392#14519747C2318yescomplemented
393#14519747C2318yescomplemented
394#14519747C2318yescomplemented
395#14519747C2318yescomplemented
396#14519747C2318yescomplemented
397#14519747C2318yescomplemented
398#14519747C2318yescomplemented
399#14519747C2318yescomplemented
400#14519747C2318yescomplemented
401#14519746C2318yescomplemented
402#14519745C2318yescomplemented
403#14519745C2318yescomplemented
404#14519745C2318yescomplemented
405C4×D244C2318yescomplemented
406C4×D244C2318yescomplemented
407C4×D244C2318yescomplemented
408C4×D244C2318yescomplemented
409C4×D244C2318yescomplemented
410C4×D244C2318yescomplemented
411#14519739C2318yescomplemented
412#14519739C2318yescomplemented
413C4×C22⋊D61C2318yescomplemented
414C4×C22⋊D61C2318yescomplemented
415#14519737C2318yescomplemented
416#14519737C2318yescomplemented
417#14519737C2318yescomplemented
418#14519737C2318yescomplemented
419#14519734C2318yescomplemented
420C2×C4⋊Dic61C2311yescharacteristic
421C2×C4⋊Dic61C2311yescharacteristic
422C2×C4⋊Dic61C2311yescharacteristic
423C2×C4⋊Dic61C2311yescharacteristic
424C2×C4⋊Dic61C2311yescharacteristic
425C2×C4⋊Dic61C2311yescharacteristic
426C2×C4⋊Dic61C2311yescharacteristic
427C2×C4⋊Dic61C2311yescharacteristic
428C2×#11758196C2311yescharacteristic
429C2×#11758196C2311yescharacteristic
430C2×#11758196C2311yescharacteristic
431C2×#11758196C2311yescharacteristic
432C2×#11758196C2311yescharacteristic
433C2×#11758196C2311yescharacteristic
434C2×#11758196C2311yescharacteristic
435C2×#11758196C2311yescharacteristic
436C2×#11758196C2311yescharacteristic
437C2×#11758196C2311yescharacteristic
438C2×#11758196C2311yescharacteristic
439C2×#11758196C2311yescharacteristic
440C2×#11758196C2311yescharacteristic
441C2×#11758196C2311yescharacteristic
442C2×#11758196C2318yescomplemented
443C4⋊C4×D61C2318yescomplemented
444C4⋊C4×D61C2318yescomplemented
445C2×C22⋊Dic61C2311yescharacteristic
446C2×C22⋊Dic61C2311yescharacteristic
447C2×C22⋊Dic61C2311yescharacteristic
448C2×C22⋊Dic61C2311yescharacteristic
449C2×C22⋊Dic61C2311yescharacteristic
450C2×C22⋊Dic61C2311yescharacteristic
451C2×#11758198C2311yescharacteristic
452C2×#11758198C2311yescharacteristic
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×#11758198C2311yescharacteristic
476C2×#11758198C2311yescharacteristic
477C2×#11758198C2311yescharacteristic
478C2×#11758198C2311yescharacteristic
479C2×#11758198C2311yescharacteristic
480C2×#11758198C2311yescharacteristic
481C2×#11758198C2318yescomplemented
482C22⋊C4×D61C2318yescomplemented
483C22⋊C4×D61C2318yescomplemented
484C22⋊C4×D61C2318yescomplemented
485C22⋊C4×D61C2318yescomplemented
486C22⋊C4×D61C2318yescomplemented
487C22⋊C4×D61C2318yescomplemented
488C2×C4×Dic61C2311yescharacteristic
489C2×C4×Dic61C2311yescharacteristic
490C2×C4×Dic61C2311yescharacteristic
491C25×C61C2311yescharacteristic
492C22×Q8×C61C2311yescharacteristic
493C22×D4×C61C2311yescharacteristic
494C22×D4×C61C2311yescharacteristic
495C22×D4×C61C2311yescharacteristic
496C23×C4×C61C2311yescharacteristic
497C23×C4×C61C2311yescharacteristic
498C23×C4×C61C2311yescharacteristic
499C23×C4×C61C2311yescharacteristic
500C23×C4×C61C2311yescharacteristic
501#126×C61C2318yescomplemented
502#126×C61C2318yescomplemented
503#124×C61C2318yescomplemented
504#123×C61C2318yescomplemented
505#123×C61C2318yescomplemented
506#123×C61C2318yescomplemented
507C22⋊Q8×C61C2318yescomplemented
508C22⋊Q8×C61C2318yescomplemented
509#120×C61C2318yes—
510C4×D4×C61C2318yescomplemented
511C4×D4×C61C2318yescomplemented
512#117×C61C2318yescomplemented
513#117×C61C2318yescomplemented
514C2×C4⋊C4×C61C2311yescharacteristic
515C2×C4⋊C4×C61C2311yescharacteristic
516C2×C4⋊C4×C61C2311yescharacteristic
517C2×C4⋊C4×C61C2311yescharacteristic
518C2×C4⋊C4×C61C2311yescharacteristic
519C2×C4⋊C4×C61C2311yescharacteristic
520C2×C4⋊C4×C61C2311yescharacteristic
521C2×C4⋊C4×C61C2311yescharacteristic
522C2×C22⋊C4×C61C2311yescharacteristic
523C2×C22⋊C4×C61C2311yescharacteristic
524C2×C22⋊C4×C61C2311yescharacteristic
525C2×C22⋊C4×C61C2311yescharacteristic
526C2×C22⋊C4×C61C2311yescharacteristic
527C2×C22⋊C4×C61C2311yescharacteristic
528C2×C22⋊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×C61C2318yescomplemented
537C2×C22⋊C4×C61C2318yescomplemented
538C2×C42×C61C2311yescharacteristic
539C2×C42×C61C2311yescharacteristic
540C2×C42×C61C2311yescharacteristic
541C24×C61—24no—
542C24×C61—42no—
543C24×C61—42no—
544C24×C61C2411yescharacteristic
545C24×C61C2411yescharacteristic
546C24×C61C2411yescharacteristic
547C24×C61C2411yescharacteristic
548C24×C61C2414yes—
549C23×D61—24no—
550C23×D61—24no—
551C23×D61—24no—
552C23×D61—24no—
553C23×D61—42no—
554C23×D61—42no—
555C23×D61—42no—
556C23×D61—42no—
557C23×D61—42no—
558C23×D61—42no—
559C23×D61—42no—
560C23×D61—42no—
561C23×D61—42no—
562C23×D61—42no—
563C23×D61—42no—
564C23×D61C2411yescharacteristic
565C23×D61C2411yescharacteristic
566C23×D61C2411yescharacteristic
567C23×D61C2411yescharacteristic
568C23×D61C2411yescharacteristic
569C23×D61C2411yescharacteristic
570C23×D61C2414yes—
571C23×D61C2411yescharacteristic
572C23×D61C2414yes—
573C23×D61C2414yes—
574C23×D61C2414yes—
575C23×D61C2414yes—
576C2×Q8×C61—42no—
577C2×Q8×C61C2414yes—
578C2×D4×C61—24no—
579C2×D4×C61—42no—
580C2×D4×C61—42no—
581C2×D4×C61C2414yes—
582C2×D4×C61C2414yes—
583C2×D4×C61C2414yes—
584C22×C4×C61—24no—
585C22×C4×C61—42no—
586C22×C4×C61—42no—
587C22×C4×C61—42no—
588C22×C4×C61—42no—
589C22×C4×C61C2411yescharacteristic
590C22×C4×C61C2411yescharacteristic
591C22×C4×C61C2411yescharacteristic
592C22×C4×C61C2411yescharacteristic
593C22×C4×C61C2411yescharacteristic
594C22×C4×C61C2411yescharacteristic
595C22×C4×C61C2411yescharacteristic
596C22×C4×C61C2411yescharacteristic
597C22×C4×C61C2414yes—
598C22×C4×C61C2411yescharacteristic
599C22×C4×C61C2411yescharacteristic
600C22×C4×C61C2411yescharacteristic
601C22×C4×C61C2414yes—
602C22×C4×C61C2414yes—
603C22×C4×C61C2414yes—
604C22×C4×C61C2414yes—
605C2×C22⋊D61—24no—
606C2×C22⋊D61—24no—
607C2×C22⋊D61—24no—
608C2×C22⋊D61—24no—
609C2×C22⋊D61—24no—
610C2×C22⋊D61—42no—
611C2×C22⋊D61—42no—
612C2×C22⋊D61—42no—
613C2×C22⋊D61—42no—
614C2×C22⋊D61—42no—
615C2×C22⋊D61—42no—
616C2×C22⋊D61—42no—
617C2×C22⋊D61—42no—
618C2×C22⋊D61—42no—
619C2×C22⋊D61—42no—
620C2×C22⋊D61—42no—
621C2×C22⋊D61—416no—
622C2×C22⋊D61—42no—
623C2×C22⋊D61—42no—
624C2×C22⋊D61—416no—
625C2×C22⋊D61—416no—
626C2×C22⋊D61C2414yes—
627C2×C22⋊D61C2414yes—
628C2×C22⋊D61C2414yes—
629C2×C22⋊D61C2414yes—
630C2×C22⋊D61C2414yes—
631C2×C22⋊D61C2414yes—
632C2×C22⋊D61C2414yes—
633C2×C22⋊D61C2414yes—
634C2×C22⋊D61C2414yes—
635C2×C22⋊D61C2414yes—
636C2×C22⋊D61C2414yes—
637C2×C22⋊D61C2414yes—
638C2×C22⋊D61C2414yes—
639C2×C22⋊D61C2414yes—
640C2×C22⋊D61C2414yes—
641C2×C22⋊D61C2414yes—
642C2×C22⋊D61C2414yes—
643C2×C22⋊D61C2414yes—
644C22×Dic61—24no—
645C22×Dic61—42no—
646C22×Dic61—42no—
647C22×Dic61C2411yescharacteristic
648C22×Dic61C2411yescharacteristic
649C22×Dic61C2411yescharacteristic
650C22×Dic61C2411yescharacteristic
651C22×Dic61C2411yescharacteristic
652C22×Dic61C2411yescharacteristic
653C22×Dic61C2411yescharacteristic
654C22×Dic61C2411yescharacteristic
655C22×Dic61C2411yescharacteristic
656C22×Dic61C2414yes—
657C22×Dic61C2414yes—
658C22×Dic61C2414yes—
659#11758226—416no—
660D4×D61—416no—
661D4×D61—416no—
662D4×D61—416no—
663#11758222—416no—
664#11758222—416no—
665C2×D244—24no—
666C2×D244—24no—
667C2×D244—24no—
668C2×D244—24no—
669C2×D244—416no—
670C2×D244—416no—
671C2×D244—42no—
672C2×D244—42no—
673C2×D244—42no—
674C2×D244—42no—
675C2×D244—42no—
676C2×D244—42no—
677C2×D244—42no—
678C2×D244—42no—
679C2×D244—42no—
680C2×D244—42no—
681C2×D244—42no—
682C2×D244—42no—
683C2×D244C2414yes—
684C2×D244C2414yes—
685C2×D244C2414yes—
686C2×D244C2414yes—
687C2×D244C2414yes—
688C2×D244C2414yes—
689C2×D244C2414yes—
690C2×D244C2414yes—
691C2×D244C2414yes—
692C2×D244C2414yes—
693C2×D244C2414yes—
694C2×D244C2414yes—
695C2×D244C2414yes—
696C2×D244C2414yes—
697C2×D244C2414yes—
698C2×D244C2414yes—
699C2×C4×D61—24no—
700C2×C4×D61—42no—
701C2×C4×D61—42no—
702C2×C4×D61—42no—
703C2×C4×D61—42no—
704C2×C4×D61—416no—
705C2×C4×D61—42no—
706C2×C4×D61—42no—
707C2×C4×D61—42no—
708C2×C4×D61—42no—
709C2×C4×D61—42no—
710C2×C4×D61—42no—
711C2×C4×D61—42no—
712C2×C4×D61—42no—
713C2×C4×D61—42no—
714C2×C4×D61—42no—
715C2×C4×D61C2414yes—
716C2×C4×D61C2414yes—
717C2×C4×D61C2414yes—
718C2×C4×D61C2414yes—
719C2×C4×D61C2414yes—
720C2×C4×D61C2414yes—
721C2×C4×D61C2414yes—
722C2×C4×D61C2414yes—
723C2×C4×D61C2414yes—
724C2×C4×D61C2414yes—
725C2×C4×D61C2414yes—
726C2×C4×D61C2414yes—
727C2×C4×D61C2414yes—
728C2×C4×D61C2414yes—
729C2×C4×D61C2414yes—
730C2×Dic122—42no—
731C2×Dic122—42no—
732C2×Dic122C2414yes—
733C2×Dic122C2414yes—
734C4⋊C4×C61C2414yes—
735C4⋊C4×C61C2414yes—
736C4⋊C4×C61C2414yes—
737C4⋊C4×C61C2414yes—
738C4⋊C4×C61C2414yes—
739C4⋊C4×C61C2414yes—
740C4⋊C4×C61C2414yes—
741C4⋊C4×C61C2414yes—
742C22⋊C4×C61C2414yes—
743C22⋊C4×C61C2414yes—
744C22⋊C4×C61C2414yes—
745C22⋊C4×C61C2414yes—
746C22⋊C4×C61C2414yes—
747C22⋊C4×C61C2414yes—
748C22⋊C4×C61C2414yes—
749C22⋊C4×C61C2414yes—
750C22⋊C4×C61C2414yes—
751C22⋊C4×C61C2414yes—
752C22⋊C4×C61C2414yes—
753C22⋊C4×C61C2414yes—
754C22⋊C4×C61C2414yes—
755C22⋊C4×C61C2414yes—
756C42×C61C2414yes—
757C42×C61C2414yes—
758C42×C61C2414yes—
759C22⋊Dic61C2414yes—
760C22⋊Dic61C2414yes—
761C22⋊Dic61C2414yes—
762C22⋊Dic61C2414yes—
763C22⋊Dic61C2414yes—
764C22⋊Dic61C2414yes—
765#11758198C2414yes—
766#11758198C2414yes—
767#11758198C2414yes—
768#11758198C2414yes—
769#11758198C2414yes—
770#11758198C2414yes—
771#11758198C2414yes—
772#11758198C2414yes—
773#11758198C2414yes—
774#11758198C2414yes—
775#11758198C2414yes—
776#11758198C2414yes—
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—
795C4⋊Dic61C2414yes—
796C4⋊Dic61C2414yes—
797C4⋊Dic61C2414yes—
798C4⋊Dic61C2414yes—
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—
817C4×Dic61C2414yes—
818C4×Dic61C2414yes—
819C4×Dic61C2414yes—
820C23×C61—22no—
821C23×C61—22no—
822C23×C61—22no—
823C23×C61—22no—
824C23×C61—22no—
825C23×C61—22no—
826C23×C61—22no—
827C23×C61—22no—
828C23×C61—22no—
829C23×C61—22no—
830C23×C61—22no—
831C23×C61—28no—
832C23×C61—44no—
833C23×C61—44no—
834C23×C61—88no—
835C23×C61H(5,𝔽2)14yes—
836C23×C61C2512yes—
837C23×C61C2512yes—
838C23×C61C2512yes—
839C23×C61C2512yes—
840C23×C61C2511yescharacteristic
841C22×D61—22no—
842C22×D61—22no—
843C22×D61—22no—
844C22×D61—28no—
845C22×D61—22no—
846C22×D61—22no—
847C22×D61—22no—
848C22×D61—22no—
849C22×D61—22no—
850C22×D61—22no—
851C22×D61—22no—
852C22×D61—22no—
853C22×D61—22no—
854C22×D61—22no—
855C22×D61—22no—
856C22×D61—22no—
857C22×D61—22no—
858C22×D61—22no—
859C22×D61—22no—
860C22×D61—22no—
861C22×D61—22no—
862C22×D61—28no—
863C22×D61—28no—
864C22×D61—28no—
865C22×D61—44no—
866C22×D61—44no—
867C22×D61—44no—
868C22×D61—44no—
869C22×D61—44no—
870C22×D61—44no—
871C22×D61—44no—
872C22×D61—44no—
873C22×D61—44no—
874C22×D61—44no—
875C22×D61—44no—
876C22×D61—416no—
877C22×D61—88no—
878C22×D61—88no—
879C22×D61—88no—
880C22×D61—88no—
881C22×D61H(5,𝔽2)14yes—
882C22×D61C2512yes—
883C22×D61C2512yes—
884C22×D61C2512yes—
885C22×D61C2512yes—
886C22×D61C2512yes—
887C22×D61C2512yes—
888C22×D61C2512yes—
889Q8×C61—44no—
890D4×C61—28no—
891D4×C61—44no—
892D4×C61—44no—
893C2×C4×C61—22no—
894C2×C4×C61—22no—
895C2×C4×C61—22no—
896C2×C4×C61—22no—
897C2×C4×C61—22no—
898C2×C4×C61—22no—
899C2×C4×C61—28no—
900C2×C4×C61—22no—
901C2×C4×C61—22no—
902C2×C4×C61—22no—
903C2×C4×C61—22no—
904C2×C4×C61—22no—
905C2×C4×C61—44no—
906C2×C4×C61—44no—
907C2×C4×C61—44no—
908C2×C4×C61—44no—
909C2×C4×C61C2512yes—
910C2×C4×C61C2512yes—
911C2×C4×C61C2512yes—
912C2×C4×C61C2512yes—
913C2×C4×C61C2512yes—
914C2×C4×C61C2512yes—
915C2×C4×C61C2512yes—
916C2×C4×C61C2512yes—
917C2×C4×C61C2512yes—
918C2×C4×C61C2512yes—
919C2×C4×C61C2512yes—
920C22⋊D61—28no—
921C22⋊D61—28no—
922C22⋊D61—28no—
923C22⋊D61—28no—
924C22⋊D61—28no—
925C22⋊D61—44no—
926C22⋊D61—44no—
927C22⋊D61—44no—
928C22⋊D61—44no—
929C22⋊D61—44no—
930C22⋊D61—44no—
931C22⋊D61—44no—
932C22⋊D61—44no—
933C22⋊D61—44no—
934C22⋊D61—44no—
935C22⋊D61—44no—
936C22⋊D61—44no—
937C22⋊D61—44no—
938C2×Dic61—22no—
939C2×Dic61—22no—
940C2×Dic61—22no—
941C2×Dic61—22no—
942C2×Dic61—28no—
943C2×Dic61—22no—
944C2×Dic61—22no—
945C2×Dic61—22no—
946C2×Dic61—22no—
947C2×Dic61—22no—
948C2×Dic61—44no—
949C2×Dic61—44no—
950C2×Dic61C2512yes—
951C2×Dic61C2512yes—
952C2×Dic61C2512yes—
953C2×Dic61C2512yes—
954C2×Dic61C2512yes—
955C2×Dic61C2512yes—
956C2×Dic61C2512yes—
957C2×Dic61C2512yes—
958C2×Dic61C2512yes—
959D244—28no—
960D244—28no—
961D244—28no—
962D244—28no—
963D244—44no—
964D244—44no—
965D244—44no—
966D244—44no—
967D244—44no—
968D244—44no—
969D244—44no—
970D244—44no—
971D244—44no—
972D244—44no—
973D244—44no—
974D244—44no—
975C4×D61—28no—
976C4×D61—44no—
977C4×D61—44no—
978C4×D61—44no—
979C4×D61—44no—
980C4×D61—44no—
981C4×D61—44no—
982C4×D61—44no—
983C4×D61—44no—
984C4×D61—44no—
985C4×D61—44no—
986C4×D61—44no—
987C4×D61—44no—
988C4×D61—44no—
989C4×D61—44no—
990Dic122—44no—
991Dic122—44no—
992C2×#3534—611nomaximal, Sylow
993C22×C61—22no—
994C22×C61—22no—
995C22×C61—28no—
996C22×C61—22no—
997C22×C61—22no—
998C22×C61—22no—
999C22×C61—22no—
1000C22×C61—22no—
1001C22×C61—22no—
1002C22×C61—22no—
1003C22×C61—22no—
1004C22×C61—22no—
1005C22×C61—44no—
1006C22×C61—44no—
1007C22×C61—44no—
1008C22×C61—88no—
1009C22×C61C2×H(5,𝔽2)12yes—
1010C22×C61C2×H(5,𝔽2)14yes—
1011C22×C61C2×H(5,𝔽2)12yes—
1012C22×C61#58512yes—
1013C22×C61C2611yescharacteristic
1014C2×D61—22no—
1015C2×D61—22no—
1016C2×D61—28no—
1017C2×D61—22no—
1018C2×D61—22no—
1019C2×D61—22no—
1020C2×D61—22no—
1021C2×D61—22no—
1022C2×D61—22no—
1023C2×D61—22no—
1024C2×D61—22no—
1025C2×D61—22no—
1026C2×D61—22no—
1027C2×D61—22no—
1028C2×D61—22no—
1029C2×D61—22no—
1030C2×D61—22no—
1031C2×D61—22no—
1032C2×D61—22no—
1033C2×D61—22no—
1034C2×D61—22no—
1035C2×D61—416no—
1036C2×D61—44no—
1037C2×D61—44no—
1038C2×D61—44no—
1039C2×D61—44no—
1040C2×D61—44no—
1041C2×D61—44no—
1042C2×D61—88no—
1043C2×D61—88no—
1044C2×D61—88no—
1045C2×D61—88no—
1046C2×D61C2×H(5,𝔽2)14yes—
1047C4×C61—22no—
1048C4×C61—22no—
1049C4×C61—22no—
1050C4×C61—22no—
1051C4×C61—22no—
1052C4×C61—22no—
1053C4×C61—22no—
1054C4×C61—22no—
1055C4×C61—22no—
1056C4×C61—22no—
1057C4×C61—22no—
1058Dic61—22no—
1059Dic61—22no—
1060Dic61—22no—
1061Dic61—22no—
1062Dic61—22no—
1063Dic61—22no—
1064Dic61—22no—
1065Dic61—22no—
1066Dic61—22no—
1067#3534—6132no—
1068C2×#562—611no—
1069C2×#562—611no—
1070C2×#560—611no—
1071C2×#560—611no—
1072C2×#553—611no—
1073C2×#553—611no—
1074C2×#551—611no—
1075C2×#551D6111yescharacteristic, complemented
1076C2×#546—611no—
1077C2×#546—611no—
1078C2×#546—611no—
1079C2×#546—611no—
1080C2×#546—611no—
1081C2×#546—611no—
1082C2×D42—611no—
1083C2×D42—611no—
1084C2×#540—611no—
1085C2×#540—611no—
1086C2×#539—611no—
1087C2×#539—611no—
1088C2×#539—611no—
1089C2×#538—611no—
1090C2×#538—611no—
1091C2×#538—611no—
1092C2×#537—611no—
1093C2×#534—611no—
1094C2×#534—611no—
1095C2×#534—611no—
1096C2×#525—611no—
1097C22×#123—611no—
1098C22×#121—611no—
1099C2×C61—24no—
1100C2×C61—42no—
1101C2×C61—42no—
1102C2×C61—42no—
1103C2×C61#353414yescomplemented
1104C2×C61C22×H(5,𝔽2)11yescharacteristic
1105C2×C61C22×H(5,𝔽2)11yescharacteristic
1106C2×C61C2×#58511yescharacteristic
1107D61—24no—
1108D61—42no—
1109D61—42no—
1110D61—42no—
1111D61—42no—
1112D61—42no—
1113D61—42no—
1114C22×#41—611no—
1115C22×#41—611no—
1116C22×#41—611no—
1117C23×D4—611no—
1118C23×D4—611no—
1119C23×D4—611no—
1120C23×D4—611no—
1121C23×D4—611no—
1122C23×D4—611no—
1123C23×D4—611no—
1124C23×D4—611no—
1125C24×C4—611no—
1126#562—6116no—
1127#562—6116no—
1128#560—6116no—
1129#560—6116no—
1130#553—6116no—
1131#553—6116no—
1132#551—6116no—
1133#551C2×D61116yescomplemented
1134#546—6116no—
1135#546—6116no—
1136#546—6116no—
1137#546—6116no—
1138#546—6116no—
1139#546—6116no—
1140D42—6116no—
1141D42—6116no—
1142#540—6116no—
1143#540—6116no—
1144#539—6116no—
1145#539—6116no—
1146#539—6116no—
1147#538—6116no—
1148#538—6116no—
1149#538—6116no—
1150#537—6116no—
1151#534—6116no—
1152#534—6116no—
1153#534—6116no—
1154C2×#127—611no—
1155C2×#127—611no—
1156C2×#126—611no—
1157C2×#126—611no—
1158C2×#126—611no—
1159C2×#126—611no—
1160C2×#126—611no—
1161C2×#126—611no—
1162C2×#126C2×D6111yescharacteristic, complemented
1163C2×#126C2×D6111yescharacteristic, complemented
1164C2×#125—611no—
1165C2×#125—611no—
1166C2×#125—611no—
1167C2×#125—611no—
1168C2×#124—611no—
1169C2×#124—611no—
1170C2×#124—611no—
1171C2×#124—611no—
1172C2×#124—611no—
1173C2×#124C2×D6111yescharacteristic, complemented
1174#525—6116no—
1175C2×#123—611no—
1176C2×#123—611no—
1177C2×#123—611no—
1178C2×#123—611no—
1179C2×#123—6116no—
1180C2×#123—611no—
1181C2×#123—611no—
1182C2×#123—611no—
1183C2×#123—611no—
1184C2×#123—611no—
1185C2×#123—611no—
1186C2×#123—611no—
1187C2×#123—611no—
1188C2×#123—611no—
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×#123C2×D6111yescharacteristic, complemented
1204C2×C22⋊Q8—611no—
1205C2×C22⋊Q8—611no—
1206C2×C22⋊Q8—611no—
1207C2×C22⋊Q8—611no—
1208C2×C22⋊Q8—611no—
1209C2×C22⋊Q8—611no—
1210C2×C22⋊Q8—611no—
1211C2×C22⋊Q8—611no—
1212C2×C22⋊Q8—611no—
1213C2×C22⋊Q8—611no—
1214C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1215C2×C22⋊Q8C2×D6111yescharacteristic, complemented
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—611no—
1229C2×#121—611no—
1230C2×#121—611no—
1231C2×#121—611no—
1232C2×#121—611no—
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×#121—611no—
1245C2×#121—611no—
1246C2×#121—611no—
1247C2×#121—611no—
1248C2×#121—611no—
1249C2×#121—611no—
1250C2×#121—611no—
1251C2×#121—611no—
1252C2×#121—6116no—
1253C2×#120—611no—
1254C2×#120—611no—
1255C2×#120—611no—
1256C2×#120—611no—
1257C2×#120—611no—
1258C2×#120—611no—
1259C2×#120—611no—
1260C2×#120—611no—
1261C2×#120—611no—
1262C2×#120—611no—
1263C2×#120—611no—
1264C2×#120—611no—
1265C2×#120—611no—
1266C2×#120—611no—
1267C2×#120—611no—
1268C2×#120C2×D6111yescharacteristic
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×D4C2×D6111yescharacteristic, complemented
1284C2×C4×D4C2×D6111yescharacteristic, complemented
1285C2×#117—611no—
1286C2×#117C2×D6111yescharacteristic, complemented
1287C2×#117C2×D6111yescharacteristic, complemented
1288C22×C4⋊C4—611no—
1289C22×C4⋊C4—611no—
1290C22×C4⋊C4—611no—
1291C22×C22⋊C4—611no—
1292C22×C22⋊C4—611no—
1293C22×C22⋊C4—611no—
1294C22×C22⋊C4—611no—
1295C22×C22⋊C4—611no—
1296C22×C22⋊C4—611no—
1297C22×C22⋊C4—611no—
1298C22×C22⋊C4C2×D6111yescharacteristic, complemented
1299C22×C22⋊C4C2×D6111yescharacteristic, complemented
1300C61C2×#353411yescharacteristic, complemented, Sylow
1301C25—611no—
1302C25—611no—
1303C25—611no—
1304C25—611no—
1305C25—611no—
1306C25C22×D6111yescharacteristic
1307C2×#41—618no—
1308C2×#41—618no—
1309C2×#41—618no—
1310C2×#41—2444no—
1311C2×#41—2444no—
1312C2×#41—2444no—
1313C22×Q8—611no—
1314C22×Q8—611no—
1315C22×Q8C22×D6111yescharacteristic
1316C22×D4—611no—
1317C22×D4—611no—
1318C22×D4—611no—
1319C22×D4—611no—
1320C22×D4—611no—
1321C22×D4—611no—
1322C22×D4—611no—
1323C22×D4—611no—
1324C22×D4—611no—
1325C22×D4—611no—
1326C22×D4—611no—
1327C22×D4—611no—
1328C22×D4—611no—
1329C22×D4—611no—
1330C22×D4—611no—
1331C22×D4—611no—
1332C22×D4—611no—
1333C22×D4—611no—
1334C22×D4—618no—
1335C22×D4—618no—
1336C22×D4—618no—
1337C22×D4—618no—
1338C22×D4—618no—
1339C22×D4—618no—
1340C22×D4—611no—
1341C22×D4—611no—
1342C22×D4—611no—
1343C22×D4—611no—
1344C22×D4—611no—
1345C22×D4—611no—
1346C22×D4—611no—
1347C22×D4—611no—
1348C22×D4—611no—
1349C22×D4—611no—
1350C22×D4—611no—
1351C22×D4—611no—
1352C22×D4—611no—
1353C22×D4—611no—
1354C22×D4—611no—
1355C22×D4—611no—
1356C22×D4—618no—
1357C22×D4—618no—
1358C22×D4—2444no—
1359C22×D4—2444no—
1360C22×D4—2444no—
1361C22×D4—2444no—
1362C22×D4—2444no—
1363C22×D4—2444no—
1364C22×D4—2444no—
1365C22×D4—2444no—
1366C22×D4C22×D6111yescharacteristic
1367C22×D4C22×D6111yescharacteristic
1368C22×D4C22×D6111yescharacteristic
1369C23×C4—611no—
1370C23×C4—611no—
1371C23×C4—611no—
1372C23×C4—611no—
1373C23×C4—611no—
1374C23×C4—611no—
1375C23×C4—611no—
1376C23×C4—611no—
1377C23×C4—611no—
1378C23×C4—611no—
1379C23×C4—611no—
1380C23×C4—611no—
1381C23×C4—611no—
1382C23×C4—611no—
1383C23×C4—611no—
1384C23×C4—611no—
1385C23×C4—611no—
1386C23×C4—611no—
1387C23×C4—618no—
1388C23×C4—2444no—
1389C23×C4C22×D6111yescharacteristic
1390C23×C4C22×D6111yescharacteristic
1391C23×C4C22×D6111yescharacteristic
1392C23×C4C22×D6111yescharacteristic
1393C23×C4C22×D6111yescharacteristic
1394#127—618no—
1395#127—618no—
1396#126—618no—
1397#126—618no—
1398#126—618no—
1399#126—618no—
1400#126—618no—
1401#126—618no—
1402#126C22×D6118yescomplemented
1403#126C22×D6118yescomplemented
1404#125—618no—
1405#125—618no—
1406#125—618no—
1407#125—618no—
1408#124—618no—
1409#124—618no—
1410#124—618no—
1411#124—618no—
1412#124—618no—
1413#124C22×D6118yescomplemented
1414#123—618no—
1415#123—618no—
1416#123—618no—
1417#123—618no—
1418#123—618no—
1419#123—618no—
1420#123—618no—
1421#123—618no—
1422#123—618no—
1423#123—618no—
1424#123—618no—
1425#123—618no—
1426#123—618no—
1427#123—618no—
1428#123—618no—
1429#123—618no—
1430#123—618no—
1431#123—618no—
1432#123—618no—
1433#123—618no—
1434#123—618no—
1435#123—618no—
1436#123—618no—
1437#123—618no—
1438#123—618no—
1439#123C22×D6118yescomplemented
1440#123C22×D6118yescomplemented
1441#123C22×D6118yescomplemented
1442C22⋊Q8—618no—
1443C22⋊Q8—618no—
1444C22⋊Q8—618no—
1445C22⋊Q8—618no—
1446C22⋊Q8—618no—
1447C22⋊Q8—618no—
1448C22⋊Q8—618no—
1449C22⋊Q8—618no—
1450C22⋊Q8—618no—
1451C22⋊Q8—618no—
1452C22⋊Q8C22×D6118yescomplemented
1453C22⋊Q8C22×D6118yescomplemented
1454#121—618no—
1455#121—618no—
1456#121—618no—
1457#121—618no—
1458#121—618no—
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#120—618no—
1491#120—618no—
1492#120—618no—
1493#120—618no—
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#120—618no—
1505#120C22×D6118yes—
1506C4×D4—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×D4C22×D6118yescomplemented
1521C4×D4C22×D6118yescomplemented
1522#117—618no—
1523#117C22×D6118yescomplemented
1524#117C22×D6118yescomplemented
1525C2×C4⋊C4—611no—
1526C2×C4⋊C4—611no—
1527C2×C4⋊C4—611no—
1528C2×C4⋊C4—611no—
1529C2×C4⋊C4—611no—
1530C2×C4⋊C4—618no—
1531C2×C4⋊C4—611no—
1532C2×C4⋊C4—611no—
1533C2×C4⋊C4—611no—
1534C2×C4⋊C4—611no—
1535C2×C4⋊C4—611no—
1536C2×C4⋊C4—611no—
1537C2×C4⋊C4—611no—
1538C2×C4⋊C4—611no—
1539C2×C4⋊C4—611no—
1540C2×C4⋊C4—611no—
1541C2×C4⋊C4—611no—
1542C2×C4⋊C4—611no—
1543C2×C4⋊C4—611no—
1544C2×C4⋊C4—611no—
1545C2×C4⋊C4—611no—
1546C2×C4⋊C4—611no—
1547C2×C4⋊C4—611no—
1548C2×C4⋊C4—618no—
1549C2×C4⋊C4—618no—
1550C2×C4⋊C4C22×D6111yescharacteristic
1551C2×C4⋊C4C22×D6111yescharacteristic
1552C2×C4⋊C4C22×D6111yescharacteristic
1553C2×C4⋊C4C22×D6111yescharacteristic
1554C2×C4⋊C4C22×D6111yescharacteristic
1555C2×C4⋊C4C22×D6111yescharacteristic
1556C2×C4⋊C4C22×D6111yescharacteristic
1557C2×C4⋊C4C22×D6111yescharacteristic
1558C2×C22⋊C4—611no—
1559C2×C22⋊C4—611no—
1560C2×C22⋊C4—611no—
1561C2×C22⋊C4—611no—
1562C2×C22⋊C4—611no—
1563C2×C22⋊C4—611no—
1564C2×C22⋊C4—611no—
1565C2×C22⋊C4—611no—
1566C2×C22⋊C4—611no—
1567C2×C22⋊C4—611no—
1568C2×C22⋊C4—611no—
1569C2×C22⋊C4—611no—
1570C2×C22⋊C4—611no—
1571C2×C22⋊C4—611no—
1572C2×C22⋊C4—611no—
1573C2×C22⋊C4—611no—
1574C2×C22⋊C4—611no—
1575C2×C22⋊C4—611no—
1576C2×C22⋊C4—611no—
1577C2×C22⋊C4—611no—
1578C2×C22⋊C4—618no—
1579C2×C22⋊C4—611no—
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—618no—
1596C2×C22⋊C4—618no—
1597C2×C22⋊C4—618no—
1598C2×C22⋊C4—618no—
1599C2×C22⋊C4—618no—
1600C2×C22⋊C4—618no—
1601C2×C22⋊C4C22×D6111yescharacteristic
1602C2×C22⋊C4C22×D6111yescharacteristic
1603C2×C22⋊C4C22×D6111yescharacteristic
1604C2×C22⋊C4C22×D6111yescharacteristic
1605C2×C22⋊C4C22×D6111yescharacteristic
1606C2×C22⋊C4C22×D6111yescharacteristic
1607C2×C22⋊C4C22×D6111yescharacteristic
1608C2×C22⋊C4C22×D6111yescharacteristic
1609C2×C22⋊C4C22×D6111yescharacteristic
1610C2×C22⋊C4C22×D6111yescharacteristic
1611C2×C22⋊C4C22×D6111yescharacteristic
1612C2×C22⋊C4C22×D6111yescharacteristic
1613C2×C22⋊C4C22×D6111yescharacteristic
1614C2×C22⋊C4C22×D6111yescharacteristic
1615C2×C22⋊C4C22×D6118yescomplemented
1616C2×C22⋊C4C22×D6118yescomplemented
1617C2×C42—611no—
1618C2×C42—611no—
1619C2×C42—611no—
1620C2×C42C22×D6111yescharacteristic
1621C2×C42C22×D6111yescharacteristic
1622C2×C42C22×D6111yescharacteristic
1623C24—24no—
1624C24—42no—
1625C24—42no—
1626C24—611no—
1627C24—611no—
1628C24—611no—
1629C24—611no—
1630C24—611no—
1631C24—611no—
1632C24—611no—
1633C24—614no—
1634C24—614no—
1635C24—614no—
1636C24—614no—
1637C24—614no—
1638C24—1224no—
1639C24—1224no—
1640C24—1224no—
1641C24—1224no—
1642C24—2442no—
1643C24—2442no—
1644C24—2442no—
1645C24—2442no—
1646C24—2442no—
1647C24—2442no—
1648C24—2442no—
1649C24—2442no—
1650C24—2442no—
1651C24—2442no—
1652C24—2442no—
1653C24C23×D6111yescharacteristic
1654C24C23×D6111yescharacteristic
1655C24C23×D6111yescharacteristic
1656C24C23×D6111yescharacteristic
1657C24C23×D6114yes—
1658#41—24416no—
1659#41—24416no—
1660#41—24416no—
1661C2×Q8—42no—
1662C2×Q8—614no—
1663C2×Q8—614no—
1664C2×Q8—2442no—
1665C2×Q8—2442no—
1666C2×Q8C23×D6114yes—
1667C2×D4—24no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—614no—
1671C2×D4—614no—
1672C2×D4—614no—
1673C2×D4—614no—
1674C2×D4—614no—
1675C2×D4—614no—
1676C2×D4—614no—
1677C2×D4—614no—
1678C2×D4—614no—
1679C2×D4—614no—
1680C2×D4—614no—
1681C2×D4—614no—
1682C2×D4—614no—
1683C2×D4—614no—
1684C2×D4—614no—
1685C2×D4—614no—
1686C2×D4—614no—
1687C2×D4—614no—
1688C2×D4—614no—
1689C2×D4—614no—
1690C2×D4—614no—
1691C2×D4—614no—
1692C2×D4—614no—
1693C2×D4—614no—
1694C2×D4—614no—
1695C2×D4—614no—
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—1224no—
1705C2×D4—1224no—
1706C2×D4—1224no—
1707C2×D4—1224no—
1708C2×D4—1224no—
1709C2×D4—1224no—
1710C2×D4—1224no—
1711C2×D4—1224no—
1712C2×D4—1224no—
1713C2×D4—2442no—
1714C2×D4—2442no—
1715C2×D4—2442no—
1716C2×D4—2442no—
1717C2×D4—2442no—
1718C2×D4—2442no—
1719C2×D4—2442no—
1720C2×D4—2442no—
1721C2×D4—2442no—
1722C2×D4—2442no—
1723C2×D4—2442no—
1724C2×D4—2442no—
1725C2×D4—24416no—
1726C2×D4—24416no—
1727C2×D4—2442no—
1728C2×D4—2442no—
1729C2×D4—2442no—
1730C2×D4—2442no—
1731C2×D4—2442no—
1732C2×D4—2442no—
1733C2×D4—2442no—
1734C2×D4—24416no—
1735C2×D4—2442no—
1736C2×D4—2442no—
1737C2×D4—2442no—
1738C2×D4—2442no—
1739C2×D4—2442no—
1740C2×D4—2442no—
1741C2×D4—24416no—
1742C2×D4—24416no—
1743C2×D4—24416no—
1744C2×D4—24416no—
1745C2×D4—24416no—
1746C2×D4C23×D6114yes—
1747C2×D4C23×D6114yes—
1748C2×D4C23×D6114yes—
1749C22×C4—24no—
1750C22×C4—42no—
1751C22×C4—42no—
1752C22×C4—42no—
1753C22×C4—42no—
1754C22×C4—614no—
1755C22×C4—611no—
1756C22×C4—611no—
1757C22×C4—611no—
1758C22×C4—611no—
1759C22×C4—611no—
1760C22×C4—611no—
1761C22×C4—611no—
1762C22×C4—611no—
1763C22×C4—611no—
1764C22×C4—614no—
1765C22×C4—614no—
1766C22×C4—614no—
1767C22×C4—614no—
1768C22×C4—614no—
1769C22×C4—614no—
1770C22×C4—614no—
1771C22×C4—614no—
1772C22×C4—614no—
1773C22×C4—614no—
1774C22×C4—614no—
1775C22×C4—614no—
1776C22×C4—614no—
1777C22×C4—614no—
1778C22×C4—614no—
1779C22×C4—614no—
1780C22×C4—614no—
1781C22×C4—1224no—
1782C22×C4—1224no—
1783C22×C4—2442no—
1784C22×C4—2442no—
1785C22×C4—2442no—
1786C22×C4—2442no—
1787C22×C4—24416no—
1788C22×C4—2442no—
1789C22×C4—2442no—
1790C22×C4—2442no—
1791C22×C4—2442no—
1792C22×C4—2442no—
1793C22×C4—2442no—
1794C22×C4—2442no—
1795C22×C4—2442no—
1796C22×C4—2442no—
1797C22×C4—2442no—
1798C22×C4—2442no—
1799C22×C4—2442no—
1800C22×C4C23×D6114yes—
1801C22×C4C23×D6111yescharacteristic
1802C22×C4C23×D6111yescharacteristic
1803C22×C4C23×D6111yescharacteristic
1804C22×C4C23×D6111yescharacteristic
1805C22×C4C23×D6111yescharacteristic
1806C22×C4C23×D6111yescharacteristic
1807C22×C4C23×D6111yescharacteristic
1808C22×C4C23×D6111yescharacteristic
1809C22×C4C23×D6111yescharacteristic
1810C22×C4C23×D6111yescharacteristic
1811C22×C4C23×D6111yescharacteristic
1812C22×C4C23×D6114yes—
1813C22×C4C23×D6114yes—
1814C22×C4C23×D6114yes—
1815C22×C4C23×D6114yes—
1816C4⋊C4—614no—
1817C4⋊C4—614no—
1818C4⋊C4—614no—
1819C4⋊C4—614no—
1820C4⋊C4—614no—
1821C4⋊C4—614no—
1822C4⋊C4—614no—
1823C4⋊C4—614no—
1824C4⋊C4—614no—
1825C4⋊C4—614no—
1826C4⋊C4—614no—
1827C4⋊C4—614no—
1828C4⋊C4—614no—
1829C4⋊C4—614no—
1830C4⋊C4—614no—
1831C4⋊C4—614no—
1832C4⋊C4—614no—
1833C4⋊C4—614no—
1834C4⋊C4—614no—
1835C4⋊C4—614no—
1836C4⋊C4—614no—
1837C4⋊C4—614no—
1838C4⋊C4C23×D6114yes—
1839C4⋊C4C23×D6114yes—
1840C4⋊C4C23×D6114yes—
1841C4⋊C4C23×D6114yes—
1842C4⋊C4C23×D6114yes—
1843C4⋊C4C23×D6114yes—
1844C4⋊C4C23×D6114yes—
1845C4⋊C4C23×D6114yes—
1846C22⋊C4—614no—
1847C22⋊C4—614no—
1848C22⋊C4—614no—
1849C22⋊C4—614no—
1850C22⋊C4—614no—
1851C22⋊C4—614no—
1852C22⋊C4—614no—
1853C22⋊C4—614no—
1854C22⋊C4—614no—
1855C22⋊C4—614no—
1856C22⋊C4—614no—
1857C22⋊C4—614no—
1858C22⋊C4—614no—
1859C22⋊C4—614no—
1860C22⋊C4—614no—
1861C22⋊C4—614no—
1862C22⋊C4—614no—
1863C22⋊C4—614no—
1864C22⋊C4—614no—
1865C22⋊C4—614no—
1866C22⋊C4—614no—
1867C22⋊C4—614no—
1868C22⋊C4—614no—
1869C22⋊C4—614no—
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⋊C4C23×D6114yes—
1883C22⋊C4C23×D6114yes—
1884C22⋊C4C23×D6114yes—
1885C22⋊C4C23×D6114yes—
1886C22⋊C4C23×D6114yes—
1887C22⋊C4C23×D6114yes—
1888C22⋊C4C23×D6114yes—
1889C22⋊C4C23×D6114yes—
1890C22⋊C4C23×D6114yes—
1891C22⋊C4C23×D6114yes—
1892C22⋊C4C23×D6114yes—
1893C22⋊C4C23×D6114yes—
1894C22⋊C4C23×D6114yes—
1895C22⋊C4C23×D6114yes—
1896C42—614no—
1897C42—614no—
1898C42—614no—
1899C42C23×D6114yes—
1900C42C23×D6114yes—
1901C42C23×D6114yes—
1902C23—22no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
1906C23—22no—
1907C23—22no—
1908C23—22no—
1909C23—22no—
1910C23—22no—
1911C23—22no—
1912C23—22no—
1913C23—28no—
1914C23—44no—
1915C23—44no—
1916C23—88no—
1917C23—614no—
1918C23—612no—
1919C23—612no—
1920C23—612no—
1921C23—612no—
1922C23—612no—
1923C23—612no—
1924C23—612no—
1925C23—1228no—
1926C23—1228no—
1927C23—1222no—
1928C23—1222no—
1929C23—1228no—
1930C23—1222no—
1931C23—1222no—
1932C23—1222no—
1933C23—1222no—
1934C23—1222no—
1935C23—1222no—
1936C23—1228no—
1937C23—1222no—
1938C23—1222no—
1939C23—1222no—
1940C23—1222no—
1941C23—1222no—
1942C23—1222no—
1943C23—1222no—
1944C23—1222no—
1945C23—1222no—
1946C23—1222no—
1947C23—1222no—
1948C23—1222no—
1949C23—4888no—
1950C23—4888no—
1951C23—4888no—
1952C23—4888no—
1953C23—2444no—
1954C23—2444no—
1955C23—2444no—
1956C23—2444no—
1957C23—2444no—
1958C23—2444no—
1959C23—2444no—
1960C23—2444no—
1961C23—2444no—
1962C23—2444no—
1963C23—2444no—
1964C23—24416no—
1965C23#1451982314yes—
1966C23C24×D6112yes—
1967C23C24×D6112yes—
1968C23C24×D6112yes—
1969C23C24×D6112yes—
1970C23C24×D6111yescharacteristic
1971Q8—44no—
1972Q8—2444no—
1973Q8—2444no—
1974D4—28no—
1975D4—44no—
1976D4—44no—
1977D4—1228no—
1978D4—1228no—
1979D4—1228no—
1980D4—1228no—
1981D4—1228no—
1982D4—1228no—
1983D4—1228no—
1984D4—1228no—
1985D4—1228no—
1986D4—2444no—
1987D4—2444no—
1988D4—2444no—
1989D4—2444no—
1990D4—2444no—
1991D4—2444no—
1992D4—2444no—
1993D4—2444no—
1994D4—2444no—
1995D4—2444no—
1996D4—2444no—
1997D4—2444no—
1998D4—2444no—
1999D4—2444no—
2000D4—2444no—
2001D4—2444no—
2002D4—2444no—
2003D4—2444no—
2004D4—2444no—
2005D4—2444no—
2006D4—2444no—
2007D4—2444no—
2008D4—2444no—
2009D4—2444no—
2010D4—2444no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—28no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—44no—
2024C2×C4—44no—
2025C2×C4—44no—
2026C2×C4—44no—
2027C2×C4—612no—
2028C2×C4—612no—
2029C2×C4—612no—
2030C2×C4—612no—
2031C2×C4—612no—
2032C2×C4—612no—
2033C2×C4—612no—
2034C2×C4—612no—
2035C2×C4—612no—
2036C2×C4—1228no—
2037C2×C4—1222no—
2038C2×C4—1222no—
2039C2×C4—1222no—
2040C2×C4—1228no—
2041C2×C4—1222no—
2042C2×C4—1222no—
2043C2×C4—1222no—
2044C2×C4—1222no—
2045C2×C4—1222no—
2046C2×C4—1222no—
2047C2×C4—2444no—
2048C2×C4—2444no—
2049C2×C4—2444no—
2050C2×C4—2444no—
2051C2×C4—2444no—
2052C2×C4—2444no—
2053C2×C4—2444no—
2054C2×C4—2444no—
2055C2×C4—2444no—
2056C2×C4—2444no—
2057C2×C4—2444no—
2058C2×C4—2444no—
2059C2×C4—2444no—
2060C2×C4—2444no—
2061C2×C4—2444no—
2062C2×C4—2444no—
2063C2×C4C24×D6112yes—
2064C2×C4C24×D6112yes—
2065C2×C4C24×D6112yes—
2066C2×C4C24×D6112yes—
2067C2×C4C24×D6112yes—
2068C2×C4C24×D6112yes—
2069C2×C4C24×D6112yes—
2070C2×C4C24×D6112yes—
2071C2×C4C24×D6112yes—
2072C2×C4C24×D6112yes—
2073C2×C4C24×D6112yes—
2074C22—28no—
2075C22—22no—
2076C22—22no—
2077C22—22no—
2078C22—22no—
2079C22—22no—
2080C22—22no—
2081C22—22no—
2082C22—22no—
2083C22—22no—
2084C22—22no—
2085C22—22no—
2086C22—44no—
2087C22—44no—
2088C22—44no—
2089C22—88no—
2090C22—614no—
2091C22—1228no—
2092C22—1222no—
2093C22—1222no—
2094C22—1222no—
2095C22—1222no—
2096C22—1222no—
2097C22—1222no—
2098C22—1222no—
2099C22—1222no—
2100C22—1222no—
2101C22—1222no—
2102C22—1222no—
2103C22—1222no—
2104C22—1222no—
2105C22—1222no—
2106C22—1222no—
2107C22—1222no—
2108C22—1222no—
2109C22—1222no—
2110C22—1222no—
2111C22—1222no—
2112C22—4888no—
2113C22—4888no—
2114C22—4888no—
2115C22—4888no—
2116C22—24416no—
2117C22—2444no—
2118C22—2444no—
2119C22—2444no—
2120C22—2444no—
2121C22—2444no—
2122C22—2444no—
2123C22H(5,𝔽2)×D6112yes—
2124C22C2×#1451982314yes—
2125C22C2×#1451982312yes—
2126C22#1684059812yes—
2127C22C25×D6111yescharacteristic
2128C4—22no—
2129C4—22no—
2130C4—22no—
2131C4—22no—
2132C4—22no—
2133C4—22no—
2134C4—22no—
2135C4—22no—
2136C4—22no—
2137C4—22no—
2138C4—22no—
2139C4—1222no—
2140C4—1222no—
2141C4—1222no—
2142C4—1222no—
2143C4—1222no—
2144C4—1222no—
2145C4—1222no—
2146C4—1222no—
2147C4—1222no—
2148C2—24no—
2149C2—42no—
2150C2—42no—
2151C2—42no—
2152C2—1224no—
2153C2—2442no—
2154C2—2442no—
2155C2—2442no—
2156C2—2442no—
2157C2—2442no—
2158C2—2442no—
2159C2#2146001214yesdirect product factor
2160C2C2×H(5,𝔽2)×D6111yescharacteristic
2161C2C22×#1451982311yescharacteristic
2162C2C2×#1684059811yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×C61×#551C2
socleC23×C61C25
hypercenterC2×#551D61
hypocenterC61C2×#3534
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#551

Complements

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

NH ≅ G/Ntype
1. #21460012C2direct (N × H)
2. C2×#16840509C2semidirect
3. C2×#16840508C2semidirect
4. C2×#16840503C2semidirect
5. C2×#16840502C2semidirect
6. C2×#16840463C2semidirect
7. C2×#16840456C2semidirect
8. C2×#16840436C2semidirect
9. C2×#16840408C2semidirect
10. C2×#16840405C2semidirect
11. C2×#16840404C2semidirect
12. C2×#16840403C2semidirect
13. C2×#16840402C2semidirect
14. C2×#16840402C2semidirect
15. C2×D4×D244C2semidirect
16. C2×#16840394C2semidirect
17. C2×#16840367C2semidirect
18. C2×#16840363C2semidirect
19. C2×#16840361C2semidirect
20. C2×#16840354C2semidirect
21. C2×#16840353C2semidirect
22. C2×#16840351C2semidirect
23. C2×#16840348C2semidirect
24. C2×#16840346C2semidirect
25. C2×#16840342C2semidirect
26. C2×#16840324C2semidirect
27. C2×#16840323C2semidirect
28. C2×#16840322C2semidirect
29. C2×#16840274C2semidirect
30. C2×#123×D61C2semidirect
31. C22×#14519750C2semidirect
32. C2×C61×#551C2semidirect
33. C22×#11758226C22semidirect
34. C22×#11758222C22semidirect
35. C22×#11758222C22semidirect
36. C23×D244C22semidirect
37. C23×D244C22semidirect
38. C23×C22⋊D61C22semidirect
39. C23×C22⋊D61C22semidirect
40. C23×C22⋊D61C22semidirect
42. C22×D4×D61C22semidirect
43. C22×D4×D61C22semidirect
44. C23×C4×D61C22semidirect
45. #16840509C22semidirect
46. #16840508C22semidirect
47. #16840503C22semidirect
48. #16840502C22semidirect
49. #16840463C22semidirect
50. #16840456C22semidirect
51. #16840436C22semidirect
52. #16840408C22semidirect
53. #16840405C22semidirect
54. #16840404C22semidirect
55. #16840403C22semidirect
56. #16840402C22semidirect
57. #16840402C22semidirect
58. D4×D244C22semidirect
59. #16840394C22semidirect
60. #16840367C22semidirect
61. #16840363C22semidirect
62. #16840361C22semidirect
63. #16840354C22semidirect
64. #16840353C22semidirect
65. #16840351C22semidirect
66. #16840348C22semidirect
67. #16840346C22semidirect
68. #16840342C22semidirect
69. #16840324C22semidirect
70. #16840323C22semidirect
71. #16840322C22semidirect
72. C2×#14519774C22semidirect
73. C2×#14519773C22semidirect
74. C2×#14519772C22semidirect
75. C2×#14519772C22semidirect
76. C2×#14519772C22semidirect
77. C2×#14519771C22semidirect
78. C2×#14519771C22semidirect
79. C2×#14519770C22semidirect
80. C2×#14519769C22semidirect
81. C2×#14519768C22semidirect
82. C2×#14519768C22semidirect
83. C2×#14519767C22semidirect
84. C2×#14519766C22semidirect
85. C2×#14519765C22semidirect
86. C2×#14519763C22semidirect
87. C2×#14519763C22semidirect
88. C2×#14519763C22semidirect
89. #16840274C22semidirect
90. C2×#14519762C22semidirect
91. C2×#14519762C22semidirect
92. C2×#14519762C22semidirect
93. C2×#14519762C22semidirect
94. C2×#14519762C22semidirect
95. C2×#14519762C22semidirect
96. C2×#14519762C22semidirect
97. C2×#14519762C22semidirect
98. C2×#14519762C22semidirect
99. C2×#14519761C22semidirect
100. C2×#14519761C22semidirect
101. C2×#14519761C22semidirect
102. C2×#14519761C22semidirect
103. C2×#14519761C22semidirect
104. C2×#14519760C22semidirect
105. C2×#14519760C22semidirect
106. C2×#14519760C22semidirect
107. C2×#14519759C22semidirect
108. C2×#14519759C22semidirect
109. C2×#14519759C22semidirect
110. C2×#14519759C22semidirect
111. C2×#14519759C22semidirect
112. C2×#14519759C22semidirect
113. C2×#14519759C22semidirect
114. C2×#14519758C22semidirect
115. #123×D61C22semidirect
116. C2×#14519757C22semidirect
117. C2×#14519757C22semidirect
118. C2×#14519756C22semidirect
119. C2×#14519755C22semidirect
120. C2×#14519755C22semidirect
121. C2×#14519755C22semidirect
122. C2×#14519754C22semidirect
123. C2×#14519754C22semidirect
124. C2×#14519753C22semidirect
125. C2×#14519753C22semidirect
126. C2×#14519752C22semidirect
127. C2×#14519752C22semidirect
128. C2×#14519752C22semidirect
129. C2×#14519752C22semidirect
130. C2×#14519752C22semidirect
131. C2×#14519752C22semidirect
132. C2×#14519752C22semidirect
133. C2×#14519752C22semidirect
135. C2×#14519751C22semidirect
136. C2×#14519751C22semidirect
137. C2×#14519751C22semidirect
138. C2×#14519751C22semidirect
139. C2×#14519751C22semidirect
140. C2×#14519751C22semidirect
142. C2×#14519750C22semidirect
143. C2×#14519750C22semidirect
144. C2×#14519750C22semidirect
145. C2×#14519750C22semidirect
146. C2×#14519750C22semidirect
147. C2×#14519750C22semidirect
148. C2×#14519750C22semidirect
149. C2×#14519750C22semidirect
150. C2×#14519750C22semidirect
151. C2×#14519750C22semidirect
152. C2×#14519750C22semidirect
153. C2×#14519750C22semidirect
154. C2×#14519750C22semidirect
155. C2×#14519750C22semidirect
156. C2×#14519750C22semidirect
157. C2×#14519750C22semidirect
158. C2×#14519750C22semidirect
160. C2×#14519749C22semidirect
161. C2×#14519748C22semidirect
162. C2×#14519748C22semidirect
164. C2×#14519747C22semidirect
165. C2×#14519747C22semidirect
166. C2×#14519747C22semidirect
167. C2×#14519747C22semidirect
168. C2×#14519747C22semidirect
169. C2×#14519747C22semidirect
170. C2×#14519747C22semidirect
171. C2×#14519747C22semidirect
172. C2×#14519747C22semidirect
173. C2×#14519747C22semidirect
174. C2×#14519746C22semidirect
175. C2×#14519745C22semidirect
176. C2×#14519745C22semidirect
177. C2×#14519745C22semidirect
178. C2×C4×D244C22semidirect
179. C2×C4×D244C22semidirect
180. C2×C4×D244C22semidirect
181. C2×C4×D244C22semidirect
182. C2×C4×D244C22semidirect
183. C2×C4×D244C22semidirect
184. C2×#14519739C22semidirect
185. C2×#14519739C22semidirect
186. C2×C4×C22⋊D61C22semidirect
187. C2×C4×C22⋊D61C22semidirect
188. C2×#14519737C22semidirect
189. C2×#14519737C22semidirect
190. C2×#14519737C22semidirect
191. C2×#14519737C22semidirect
192. C2×#14519734C22semidirect
193. C22×#11758196C22semidirect
194. C2×C4⋊C4×D61C22semidirect
195. C2×C4⋊C4×D61C22semidirect
196. C22×#11758198C22semidirect
197. C2×C22⋊C4×D61C22semidirect
198. C2×C22⋊C4×D61C22semidirect
199. C2×C22⋊C4×D61C22semidirect
200. C2×C22⋊C4×D61C22semidirect
201. C2×C22⋊C4×D61C22semidirect
202. C2×C22⋊C4×D61C22semidirect
203. C61×#551C22semidirect
204. C2×#126×C61C22semidirect
205. C2×#126×C61C22semidirect
206. C2×#124×C61C22semidirect
207. C2×#123×C61C22semidirect
208. C2×#123×C61C22semidirect
209. C2×#123×C61C22semidirect
210. C2×C22⋊Q8×C61C22semidirect
211. C2×C22⋊Q8×C61C22semidirect
213. C2×C4×D4×C61C22semidirect
214. C2×C4×D4×C61C22semidirect
215. C2×#117×C61C22semidirect
216. C2×#117×C61C22semidirect
217. C22×C22⋊C4×C61C22semidirect
218. C22×C22⋊C4×C61C22semidirect
225. C2×#11758226C23semidirect
228. C2×#11758222C23semidirect
229. C2×#11758222C23semidirect
250. C22×D244C23semidirect
251. C22×D244C23semidirect
273. C22×C22⋊D61C23semidirect
274. C22×C22⋊D61C23semidirect
275. C22×C22⋊D61C23semidirect
280. C2×D4×D61C23semidirect
281. C2×D4×D61C23semidirect
301. C22×C4×D61C23semidirect
302. #14519774C23semidirect
303. #14519773C23semidirect
304. #14519772C23semidirect
305. #14519772C23semidirect
306. #14519772C23semidirect
307. #14519771C23semidirect
308. #14519771C23semidirect
309. #14519770C23semidirect
310. #14519769C23semidirect
311. #14519768C23semidirect
312. #14519768C23semidirect
313. #14519767C23semidirect
314. #14519766C23semidirect
315. #14519765C23semidirect
316. #14519763C23semidirect
317. #14519763C23semidirect
318. #14519763C23semidirect
319. #14519762C23semidirect
320. #14519762C23semidirect
321. #14519762C23semidirect
322. #14519762C23semidirect
323. #14519762C23semidirect
324. #14519762C23semidirect
325. #14519762C23semidirect
326. #14519762C23semidirect
327. #14519762C23semidirect
328. #14519761C23semidirect
329. #14519761C23semidirect
330. #14519761C23semidirect
331. #14519761C23semidirect
332. #14519761C23semidirect
333. #14519760C23semidirect
334. #14519760C23semidirect
335. #14519760C23semidirect
336. #14519759C23semidirect
337. #14519759C23semidirect
338. #14519759C23semidirect
339. #14519759C23semidirect
340. #14519759C23semidirect
341. #14519759C23semidirect
342. #14519759C23semidirect
343. #14519758C23semidirect
344. #14519757C23semidirect
345. #14519757C23semidirect
346. #14519756C23semidirect
347. #14519755C23semidirect
348. #14519755C23semidirect
349. #14519755C23semidirect
350. #14519754C23semidirect
351. #14519754C23semidirect
352. #14519753C23semidirect
353. #14519753C23semidirect
354. #14519752C23semidirect
355. #14519752C23semidirect
356. #14519752C23semidirect
357. #14519752C23semidirect
358. #14519752C23semidirect
359. #14519752C23semidirect
360. #14519752C23semidirect
361. #14519752C23semidirect
363. #14519751C23semidirect
364. #14519751C23semidirect
365. #14519751C23semidirect
366. #14519751C23semidirect
367. #14519751C23semidirect
368. #14519751C23semidirect
370. #14519750C23semidirect
371. #14519750C23semidirect
372. #14519750C23semidirect
373. #14519750C23semidirect
374. #14519750C23semidirect
375. #14519750C23semidirect
376. #14519750C23semidirect
377. #14519750C23semidirect
378. #14519750C23semidirect
379. #14519750C23semidirect
380. #14519750C23semidirect
381. #14519750C23semidirect
382. #14519750C23semidirect
383. #14519750C23semidirect
384. #14519750C23semidirect
385. #14519750C23semidirect
387. #14519749C23semidirect
388. #14519748C23semidirect
389. #14519748C23semidirect
391. #14519747C23semidirect
392. #14519747C23semidirect
393. #14519747C23semidirect
394. #14519747C23semidirect
395. #14519747C23semidirect
396. #14519747C23semidirect
397. #14519747C23semidirect
398. #14519747C23semidirect
399. #14519747C23semidirect
400. #14519747C23semidirect
401. #14519746C23semidirect
402. #14519745C23semidirect
403. #14519745C23semidirect
404. #14519745C23semidirect
405. C4×D244C23semidirect
406. C4×D244C23semidirect
407. C4×D244C23semidirect
408. C4×D244C23semidirect
409. C4×D244C23semidirect
410. C4×D244C23semidirect
411. #14519739C23semidirect
412. #14519739C23semidirect
413. C4×C22⋊D61C23semidirect
414. C4×C22⋊D61C23semidirect
415. #14519737C23semidirect
416. #14519737C23semidirect
417. #14519737C23semidirect
418. #14519737C23semidirect
419. #14519734C23semidirect
442. C2×#11758196C23semidirect
443. C4⋊C4×D61C23semidirect
444. C4⋊C4×D61C23semidirect
481. C2×#11758198C23semidirect
482. C22⋊C4×D61C23semidirect
483. C22⋊C4×D61C23semidirect
484. C22⋊C4×D61C23semidirect
485. C22⋊C4×D61C23semidirect
486. C22⋊C4×D61C23semidirect
487. C22⋊C4×D61C23semidirect
501. #126×C61C23semidirect
502. #126×C61C23semidirect
503. #124×C61C23semidirect
504. #123×C61C23semidirect
505. #123×C61C23semidirect
506. #123×C61C23semidirect
507. C22⋊Q8×C61C23semidirect
508. C22⋊Q8×C61C23semidirect
510. C4×D4×C61C23semidirect
511. C4×D4×C61C23semidirect
512. #117×C61C23semidirect
513. #117×C61C23semidirect
536. C2×C22⋊C4×C61C23semidirect
537. C2×C22⋊C4×C61C23semidirect
1075. C2×#551D61semidirect
1103. C2×C61#3534semidirect
1133. #551C2×D61semidirect
1162. C2×#126C2×D61semidirect
1163. C2×#126C2×D61semidirect
1173. C2×#124C2×D61semidirect
1201. C2×#123C2×D61semidirect
1202. C2×#123C2×D61semidirect
1203. C2×#123C2×D61semidirect
1214. C2×C22⋊Q8C2×D61semidirect
1215. C2×C22⋊Q8C2×D61semidirect
1283. C2×C4×D4C2×D61semidirect
1284. C2×C4×D4C2×D61semidirect
1286. C2×#117C2×D61semidirect
1287. C2×#117C2×D61semidirect
1298. C22×C22⋊C4C2×D61semidirect
1299. C22×C22⋊C4C2×D61semidirect
1300. C61C2×#3534semidirect
1402. #126C22×D61semidirect
1403. #126C22×D61semidirect
1413. #124C22×D61semidirect
1439. #123C22×D61semidirect
1440. #123C22×D61semidirect
1441. #123C22×D61semidirect
1452. C22⋊Q8C22×D61semidirect
1453. C22⋊Q8C22×D61semidirect
1520. C4×D4C22×D61semidirect
1521. C4×D4C22×D61semidirect
1523. #117C22×D61semidirect
1524. #117C22×D61semidirect
1615. C2×C22⋊C4C22×D61semidirect
1616. C2×C22⋊C4C22×D61semidirect
2159. C2#21460012direct (N × H)

Maximal subgroups

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

subgroupindex
#214600122
C2×#168405092
C2×#168405082
C2×#168405032
C2×#168405022
C2×#168404632
C2×#168404562
C2×#168404362
C2×#168404082
C2×#168404052
C2×#168404042
C2×#168404032
C2×#168404022
C2×D4×D2442
C2×#168403942
C2×#168403672
C2×#168403632
C2×#168403612
C2×#168403542
C2×#168403532
C2×#168403512
C2×#168403482
C2×#168403462
C2×#168403422
C2×#168403242
C2×#168403232
C2×#168403222
C2×#168402742
C2×#123×D612
C22×#145197502
C2×C61×#5512
C2×#353461