Finite Group Databasebeta

← C61×#62892 #29566325

Subgroups — C61×#62892 #29566325

Order 15616.

8158 conjugacy classes of subgroups.

The subgroup lattice has 1598 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3558C212yesmaximal, complemented
2C61×#3543C214yesmaximal, complemented
3C61×#3542C214yesmaximal, complemented
4C61×#3537C214yesmaximal, complemented
5C61×#3537C212yesmaximal, complemented
6C61×#3534C218yesmaximal, complemented
7C61×#3534C214yesmaximal, complemented
8C61×#3532C218yesmaximal, complemented
9C61×#3519C212yesmaximal, complemented
10C61×#3513C214yesmaximal, complemented
11C61×#3505C212yesmaximal, complemented
12C61×#3496C211yesmaximal, characteristic, complemented
13C61×#3490C212yesmaximal, complemented
14C61×#3488C212yesmaximal, complemented
15C61×#3484C214yesmaximal, complemented
16C61×#3484C214yesmaximal, complemented
17C2×C61×#546C211yesmaximal, characteristic, complemented
18C2×D42×C61C212yesmaximal, complemented
19C61×#3459C211yesmaximal, characteristic, complemented
20C2×C61×#534C212yesmaximal, complemented
21C2×H(5,𝔽2)×C61C2212yescomplemented
22C2×H(5,𝔽2)×C61C2212yescomplemented
23C22×#41×C61C2211yescharacteristic, complemented
24C23×D4×C61C2211yescharacteristic, complemented
25C23×D4×C61C2214yescomplemented
26C23×D4×C61C2212yescomplemented
27C61×#562C2214yescomplemented
28C61×#562C2218yescomplemented
29C61×H(3,𝔽4)C2214yescomplemented
30C61×#560C2218yescomplemented
31C61×#560C2218yescomplemented
32C61×#560C2218yescomplemented
33C61×#560C2218yescomplemented
34C61×#559C2214yescomplemented
35C61×#555C2212yescomplemented
36C61×#554C2212yescomplemented
37C61×#553C2218yescomplemented
38C61×#553C2214yescomplemented
39C61×#553C2214yescomplemented
40C61×#553C2218yescomplemented
41C61×#553C2214yescomplemented
42C61×#552C2214yescomplemented
43C61×#551C2218yescomplemented
44C61×#551C2218yescomplemented
45C61×#551C2218yescomplemented
46C61×#551C2218yescomplemented
47C61×#550C2212yescomplemented
48C61×#550C2214yescomplemented
49C61×#548C2214yescomplemented
50C61×#547C2214yescomplemented
51C61×#546C2214yescomplemented
52C61×#546C2214yescomplemented
53C61×#546C2214yescomplemented
54C61×#546C2218yescomplemented
55C61×#546C2218yescomplemented
56C61×#546C2218yescomplemented
57C61×#546C2218yescomplemented
58C61×#546C2214yescomplemented
59C61×#546C2218yescomplemented
60C61×#546C2218yescomplemented
61C61×#546C2214yescomplemented
62C61×#546C2218yescomplemented
63C61×#546C2218yescomplemented
64C61×#546C2218yescomplemented
65C61×#546C2218yescomplemented
66C61×#546C2214yescomplemented
67D42×C61C2214yescomplemented
68D42×C61C2214yescomplemented
69D42×C61C2218yescomplemented
70D42×C61C2214yescomplemented
71D42×C61C2212yescomplemented
72D42×C61C2218yescomplemented
73D42×C61C2218yescomplemented
74D42×C61C2218yescomplemented
75D42×C61C2218yescomplemented
76D42×C61C2214yescomplemented
77D42×C61C2214yescomplemented
78D42×C61C2214yescomplemented
79D42×C61C2218yescomplemented
80D42×C61C2218yescomplemented
81C61×#543C2211yescharacteristic, complemented
82C61×#542C2214yescomplemented
83C61×#540C2214yescomplemented
84C61×#540C2214yescomplemented
85C61×#540C2218yescomplemented
86C61×#540C2218yescomplemented
87C61×#539C2214yescomplemented
88C61×#539C2212yescomplemented
89C61×#539C2214yescomplemented
90C61×#539C2218yescomplemented
91C61×#538C2214yescomplemented
92C61×#538C2218yescomplemented
93C61×#538C2212yescomplemented
94C61×#538C2214yescomplemented
95C61×#538C2214yescomplemented
96C61×#538C2218yescomplemented
97C61×#538C2214yescomplemented
98C61×#538C2218yescomplemented
99C61×#538C2218yescomplemented
100C61×#538C2214yescomplemented
101C61×#537C2214yescomplemented
102C61×#537C2212yescomplemented
103C61×#537C2212yescomplemented
104C61×#535C2218yescomplemented
105C61×#535C2214yescomplemented
106C61×#535C2214yescomplemented
107C61×#535C2212yescomplemented
108C61×#535C2218yescomplemented
109C61×#535C2214yescomplemented
110C61×#534C2211yescharacteristic, complemented
111C61×#534C2214yescomplemented
112C61×#534C2212yescomplemented
113C61×#534C2212yescomplemented
114C61×#534C2218yescomplemented
115C61×#534C2218yescomplemented
116C61×#534C2218yescomplemented
117C61×#534C2218yescomplemented
118C61×#534C2214yescomplemented
119C61×#534C2214yescomplemented
120C61×#534C2218yescomplemented
121C61×#534C2212yescomplemented
122C61×#534C2214yescomplemented
123C61×#532C2212yescomplemented
124C2×#127×C61C2212yescomplemented
125C61×#529C2214yescomplemented
126C61×#529C2214yescomplemented
127C61×#529C2212yescomplemented
128C2×#124×C61C2211yescharacteristic, complemented
129C61×#525C2214yescomplemented
130C61×#525C2218yescomplemented
131C61×#525C2212yescomplemented
132C61×#525C2214yescomplemented
133C61×#525C2214yescomplemented
134C61×#525C2214yescomplemented
135C2×#123×C61C2218yescomplemented
136C2×#123×C61C2212yescomplemented
137C2×C22⋊Q8×C61C2211yescharacteristic, complemented
138C2×#121×C61C2212yescomplemented
139C2×#121×C61C2214yescomplemented
140C2×#121×C61C2212yescomplemented
141C2×#121×C61C2214yescomplemented
142C2×#121×C61C2214yescomplemented
143C2×#121×C61C2211yescharacteristic, complemented
144C2×#121×C61C2212yescomplemented
145C2×#121×C61C2212yescomplemented
146C2×#120×C61C2214yescomplemented
147C2×#120×C61C2212yescomplemented
148C2×#120×C61C2218yescomplemented
149C2×#120×C61C2214yescomplemented
150C2×#120×C61C2218yescomplemented
151C61×#520C2212yescomplemented
152C61×#518C2214yescomplemented
153C61×#518C2214yescomplemented
154C2×C4×D4×C61C2212yescomplemented
155C2×C4×D4×C61C2211yescharacteristic, complemented
156C2×C4×D4×C61C2212yescomplemented
157C2×C4×D4×C61C2211yescharacteristic, complemented
158C22×C22⋊C4×C61C2212yescomplemented
159C25×C61C2312yes—
160C25×C61C2314yescomplemented
161H(5,𝔽2)×C61—48no—
162H(5,𝔽2)×C61—48no—
163C2×#41×C61—44no—
164C2×#41×C61C2312yes—
165C2×#41×C61C2314yescomplemented
166C2×#41×C61C2312yescomplemented
167C2×#41×C61C2314yescomplemented
168C2×#41×C61C2312yescomplemented
169C2×#41×C61C2318yescomplemented
170C2×#41×C61C2314yescomplemented
171C2×#41×C61C2314yescomplemented
172C2×#41×C61C2314yescomplemented
173C22×Q8×C61C2311yescharacteristic, complemented
174C22×D4×C61—44no—
175C22×D4×C61—48no—
176C22×D4×C61—416no—
177C22×D4×C61C2312yes—
178C22×D4×C61C2314yes—
179C22×D4×C61C2311yescharacteristic
180C22×D4×C61C2311yescharacteristic
181C22×D4×C61C2314yes—
182C22×D4×C61C2312yes—
183C22×D4×C61C2312yes—
184C22×D4×C61C2318yes—
185C22×D4×C61C2312yes—
186C22×D4×C61C2311yescharacteristic
187C22×D4×C61C2318yes—
188C22×D4×C61C2314yes—
189C22×D4×C61C2314yescomplemented
190C22×D4×C61C2312yescomplemented
191C22×D4×C61C2314yescomplemented
192C22×D4×C61C2314yescomplemented
193C22×D4×C61C2318yescomplemented
194C22×D4×C61C2318yescomplemented
195C22×D4×C61C2314yescomplemented
196C22×D4×C61C2318yescomplemented
197C22×D4×C61C2318yescomplemented
198C22×D4×C61C2314yescomplemented
199C22×D4×C61C2312yescomplemented
200C22×D4×C61C2312yescomplemented
201C22×D4×C61C2318yescomplemented
202C22×D4×C61C2314yescomplemented
203C22×D4×C61C2314yescomplemented
204C22×D4×C61C2318yescomplemented
205C22×D4×C61C2312yescomplemented
206C22×D4×C61C2314yescomplemented
207C23×C4×C61C2311yescharacteristic
208C23×C4×C61C2314yescomplemented
209C23×C4×C61C2312yescomplemented
210C23×C4×C61C2312yescomplemented
211C23×C4×C61C2311yescharacteristic, complemented
212C23×C4×C61C2312yescomplemented
213C4⋊Q8×C61C2312yescomplemented
214#127×C61C2314yes—
215#127×C61C2314yescomplemented
216#127×C61C2318yescomplemented
217#127×C61C2312yescomplemented
218#127×C61C2318yescomplemented
219#127×C61C2318yescomplemented
220#126×C61C2314yescomplemented
221#126×C61C2318yescomplemented
222#126×C61C2318yescomplemented
223#126×C61C2318yescomplemented
224#126×C61C2318yescomplemented
225#126×C61C2314yescomplemented
226#126×C61C2318yescomplemented
227#126×C61C2314yescomplemented
228#125×C61C2314yescomplemented
229#125×C61C2318yescomplemented
230#125×C61C2312yescomplemented
231#125×C61C2314yescomplemented
232#124×C61C2314yescomplemented
233#124×C61C2314yescomplemented
234#124×C61C2314yescomplemented
235#124×C61C2318yescomplemented
236#124×C61C2318yescomplemented
237#124×C61C2318yescomplemented
238#124×C61C2318yescomplemented
239#124×C61C2318yescomplemented
240#124×C61C2314yescomplemented
241#124×C61C2312yescomplemented
242#124×C61C2314yescomplemented
243#123×C61C2314yes—
244#123×C61C2318yes—
245#123×C61C2318yescomplemented
246#123×C61C2314yescomplemented
247#123×C61C2314yescomplemented
248#123×C61C2318yescomplemented
249#123×C61C2318yescomplemented
250#123×C61C2314yescomplemented
251#123×C61C2318yescomplemented
252#123×C61C2318yescomplemented
253#123×C61C2318yescomplemented
254#123×C61C2318yescomplemented
255#123×C61C2318yescomplemented
256#123×C61C2318yescomplemented
257#123×C61C2318yescomplemented
258#123×C61C2318yescomplemented
259#123×C61C2318yescomplemented
260#123×C61C2318yescomplemented
261#123×C61C2314yescomplemented
262#123×C61C2318yescomplemented
263#123×C61C2318yescomplemented
264#123×C61C2318yescomplemented
265#123×C61C2314yescomplemented
266#123×C61C2318yescomplemented
267#123×C61C2318yescomplemented
268C22⋊Q8×C61C2312yescomplemented
269C22⋊Q8×C61C2314yescomplemented
270C22⋊Q8×C61C2318yescomplemented
271C22⋊Q8×C61C2318yescomplemented
272C22⋊Q8×C61C2314yescomplemented
273C22⋊Q8×C61C2312yescomplemented
274C22⋊Q8×C61C2312yescomplemented
275C22⋊Q8×C61C2314yescomplemented
276C22⋊Q8×C61C2314yescomplemented
277C22⋊Q8×C61C2318yescomplemented
278C22⋊Q8×C61C2314yescomplemented
279C22⋊Q8×C61C2314yescomplemented
280C22⋊Q8×C61C2318yescomplemented
281C22⋊Q8×C61C2314yescomplemented
282C22⋊Q8×C61C2314yescomplemented
283#121×C61C2312yes—
284#121×C61C2312yes—
285#121×C61C2314yes—
286#121×C61C2314yes—
287#121×C61C2318yes—
288#121×C61C2314yes—
289#121×C61C2314yes—
290#121×C61C2314yes—
291#121×C61C2314yescomplemented
292#121×C61C2314yescomplemented
293#121×C61C2312yescomplemented
294#121×C61C2314yescomplemented
295#121×C61C2314yescomplemented
296#121×C61C2318yescomplemented
297#121×C61C2314yescomplemented
298#121×C61C2314yescomplemented
299#121×C61C2318yescomplemented
300#121×C61C2318yescomplemented
301#121×C61C2318yescomplemented
302#121×C61C2314yescomplemented
303#121×C61C2314yescomplemented
304#121×C61C2318yescomplemented
305#121×C61C2318yescomplemented
306#121×C61C2318yescomplemented
307#121×C61C2318yescomplemented
308#121×C61C2318yescomplemented
309#121×C61C2318yescomplemented
310#121×C61C2318yescomplemented
311#121×C61C2318yescomplemented
312#121×C61C2314yescomplemented
313#121×C61C2318yescomplemented
314#121×C61C2318yescomplemented
315#121×C61C2318yescomplemented
316#121×C61C2314yescomplemented
317#121×C61C2314yescomplemented
318#121×C61C2318yescomplemented
319#121×C61C2314yescomplemented
320#121×C61C2318yescomplemented
321#121×C61C2318yescomplemented
322#121×C61C2314yescomplemented
323#121×C61C2314yescomplemented
324#121×C61C2314yescomplemented
325#121×C61C2318yescomplemented
326#121×C61C2318yescomplemented
327#121×C61C2314yescomplemented
328#121×C61C2314yescomplemented
329#121×C61C2318yescomplemented
330#121×C61C2318yescomplemented
331#121×C61C2318yescomplemented
332#121×C61C2318yescomplemented
333#120×C61C2314yes—
334#120×C61C2318yes—
335#120×C61C2318yes—
336#120×C61C2318yes—
337#120×C61C2318yes—
338#120×C61C2318yescomplemented
339#120×C61C2318yescomplemented
340#120×C61C2318yescomplemented
341#120×C61C2318yescomplemented
342#120×C61C2318yescomplemented
343#120×C61C2318yescomplemented
344#120×C61C2318yescomplemented
345#120×C61C2318yescomplemented
346#120×C61C2314yescomplemented
347#120×C61C2318yescomplemented
348#120×C61C2318yescomplemented
349#120×C61C2318yescomplemented
350#120×C61C2318yescomplemented
351#120×C61C2314yescomplemented
352#120×C61C2318yescomplemented
353#120×C61C2318yescomplemented
354#120×C61C2318yescomplemented
355#120×C61C2318yescomplemented
356#120×C61C2318yescomplemented
357#120×C61C2318yescomplemented
358#120×C61C2318yescomplemented
359#120×C61C2318yescomplemented
360C4×Q8×C61C2314yescomplemented
361C4×Q8×C61C2312yescomplemented
362C4×D4×C61C2314yes—
363C4×D4×C61C2314yes—
364C4×D4×C61C2314yes—
365C4×D4×C61C2312yes—
366C4×D4×C61C2314yescomplemented
367C4×D4×C61C2314yescomplemented
368C4×D4×C61C2314yescomplemented
369C4×D4×C61C2318yescomplemented
370C4×D4×C61C2314yescomplemented
371C4×D4×C61C2314yescomplemented
372C4×D4×C61C2318yescomplemented
373C4×D4×C61C2318yescomplemented
374C4×D4×C61C2318yescomplemented
375C4×D4×C61C2318yescomplemented
376C4×D4×C61C2318yescomplemented
377C4×D4×C61C2318yescomplemented
378C4×D4×C61C2318yescomplemented
379C4×D4×C61C2318yescomplemented
380C4×D4×C61C2318yescomplemented
381C4×D4×C61C2318yescomplemented
382C4×D4×C61C2318yescomplemented
383C4×D4×C61C2312yescomplemented
384C4×D4×C61C2314yescomplemented
385C4×D4×C61C2314yescomplemented
386C4×D4×C61C2314yescomplemented
387C4×D4×C61C2314yescomplemented
388C4×D4×C61C2312yescomplemented
389C4×D4×C61C2314yescomplemented
390#117×C61C2312yescomplemented
391#117×C61C2314yescomplemented
392#117×C61C2318yescomplemented
393#117×C61C2314yescomplemented
394#117×C61C2318yescomplemented
395#117×C61C2314yescomplemented
396#117×C61C2314yescomplemented
397C2×C4⋊C4×C61C2311yescharacteristic, complemented
398C2×C4⋊C4×C61C2314yescomplemented
399C2×C4⋊C4×C61C2312yescomplemented
400C2×C4⋊C4×C61C2312yescomplemented
401C2×C4⋊C4×C61C2312yescomplemented
402C2×C4⋊C4×C61C2311yescharacteristic, complemented
403C2×C4⋊C4×C61C2312yescomplemented
404C2×C4⋊C4×C61C2314yescomplemented
405C2×C22⋊C4×C61C2311yescharacteristic
406C2×C22⋊C4×C61C2312yes—
407C2×C22⋊C4×C61C2312yes—
408C2×C22⋊C4×C61C2312yescomplemented
409C2×C22⋊C4×C61C2312yescomplemented
410C2×C22⋊C4×C61C2311yescharacteristic, complemented
411C2×C22⋊C4×C61C2318yescomplemented
412C2×C22⋊C4×C61C2318yescomplemented
413C2×C22⋊C4×C61C2314yescomplemented
414C2×C22⋊C4×C61C2318yescomplemented
415C2×C22⋊C4×C61C2318yescomplemented
416C2×C22⋊C4×C61C2312yescomplemented
417C2×C22⋊C4×C61C2318yescomplemented
418C2×C22⋊C4×C61C2312yescomplemented
419C2×C22⋊C4×C61C2312yescomplemented
420C2×C22⋊C4×C61C2318yescomplemented
421C2×C22⋊C4×C61C2318yescomplemented
422C2×C22⋊C4×C61C2314yescomplemented
423C2×C22⋊C4×C61C2314yescomplemented
424C2×C22⋊C4×C61C2314yescomplemented
425C2×C42×C61C2312yescomplemented
426C2×C42×C61C2311yescharacteristic, complemented
427C24×C61—28no—
428C24×C61—44no—
429C24×C61—48no—
430C24×C61—48no—
431C24×C61—82no—
432C24×C61—84no—
433C24×C61C2414yes—
434C24×C61C2412yes—
435C24×C61C2414yes—
436C24×C61C2414yes—
437C24×C61C2418yes—
438C24×C61C2412yes—
439C24×C61C2412yes—
440C24×C61C2411yescharacteristic
441C24×C61C2418yes—
442C24×C61C2414yes—
443C24×C61C2411yescharacteristic
444#41×C61—28no—
445#41×C61—44no—
446#41×C61—48no—
447#41×C61—416no—
448#41×C61—48no—
449#41×C61—48no—
450#41×C61—44no—
451#41×C61—48no—
452#41×C61—84no—
453C2×Q8×C61—42no—
454C2×Q8×C61C2412yes—
455C2×Q8×C61C2412yes—
456C2×Q8×C61C2412yes—
457C2×Q8×C61C2412yes—
458C2×Q8×C61C2414yes—
459C2×D4×C61—28no—
460C2×D4×C61—216no—
461C2×D4×C61—24no—
462C2×D4×C61—28no—
463C2×D4×C61—24no—
464C2×D4×C61—216no—
465C2×D4×C61—44no—
466C2×D4×C61—42no—
467C2×D4×C61—44no—
468C2×D4×C61—48no—
469C2×D4×C61—44no—
470C2×D4×C61—48no—
471C2×D4×C61—48no—
472C2×D4×C61—48no—
473C2×D4×C61—44no—
474C2×D4×C61—416no—
475C2×D4×C61—416no—
476C2×D4×C61—48no—
477C2×D4×C61—416no—
478C2×D4×C61—416no—
479C2×D4×C61—416no—
480C2×D4×C61—48no—
481C2×D4×C61—44no—
482C2×D4×C61—48no—
483C2×D4×C61—416no—
484C2×D4×C61—416no—
485C2×D4×C61—82no—
486C2×D4×C61—84no—
487C2×D4×C61—84no—
488C2×D4×C61—88no—
489C2×D4×C61C2414yes—
490C2×D4×C61C2418yes—
491C2×D4×C61C2414yes—
492C2×D4×C61C2418yes—
493C2×D4×C61C2414yes—
494C2×D4×C61C2412yes—
495C2×D4×C61C2414yes—
496C2×D4×C61C2418yes—
497C2×D4×C61C2414yes—
498C2×D4×C61C2412yes—
499C2×D4×C61C2414yes—
500C2×D4×C61C2411yescharacteristic
501C2×D4×C61C2412yes—
502C2×D4×C61C2418yes—
503C2×D4×C61C2418yes—
504C2×D4×C61C2418yes—
505C2×D4×C61C2414yes—
506C2×D4×C61C2414yes—
507C2×D4×C61C2418yes—
508C2×D4×C61C2412yes—
509C2×D4×C61C2418yes—
510C2×D4×C61C2418yes—
511C2×D4×C61C2418yes—
512C2×D4×C61C2414yes—
513C2×D4×C61C2414yes—
514C2×D4×C61C2412yes—
515C2×D4×C61C2414yes—
516C2×D4×C61C2414yes—
517C2×D4×C61C2418yes—
518C2×D4×C61C2418yes—
519C2×D4×C61C2414yes—
520C2×D4×C61C2418yes—
521C2×D4×C61C2414yes—
522C2×D4×C61C2418yes—
523C2×D4×C61C2411yescharacteristic
524C22×C4×C61—42no—
525C22×C4×C61—44no—
526C22×C4×C61—42no—
527C22×C4×C61—48no—
528C22×C4×C61—44no—
529C22×C4×C61—82no—
530C22×C4×C61C2411yescharacteristic
531C22×C4×C61C2412yes—
532C22×C4×C61C2411yescharacteristic
533C22×C4×C61C2412yes—
534C22×C4×C61C2414yes—
535C22×C4×C61C2414yes—
536C22×C4×C61C2412yes—
537C22×C4×C61C2414yes—
538C22×C4×C61C2412yes—
539C22×C4×C61C2411yescharacteristic
540C22×C4×C61C2412yes—
541C22×C4×C61C2412yes—
542C22×C4×C61C2412yes—
543C22×C4×C61C2411yescharacteristic
544C22×C4×C61C2414yes—
545C22×C4×C61C2412yes—
546C22×C4×C61C2418yes—
547C22×C4×C61C2418yes—
548C22×C4×C61C2414yes—
549C22×C4×C61C2418yes—
550C22×C4×C61C2418yes—
551C22×C4×C61C2414yes—
552C22×C4×C61C2412yes—
553C22×C4×C61C2411yescharacteristic
554C22×C4×C61C2414yes—
555C22×C4×C61C2414yes—
556C22×C4×C61C2418yes—
557C4⋊C4×C61C2414yes—
558C4⋊C4×C61C2412yes—
559C4⋊C4×C61C2414yes—
560C4⋊C4×C61C2412yes—
561C4⋊C4×C61C2412yes—
562C4⋊C4×C61C2418yes—
563C4⋊C4×C61C2418yes—
564C4⋊C4×C61C2414yes—
565C4⋊C4×C61C2414yes—
566C4⋊C4×C61C2414yes—
567C4⋊C4×C61C2414yes—
568C4⋊C4×C61C2414yes—
569C4⋊C4×C61C2412yes—
570C4⋊C4×C61C2418yes—
571C4⋊C4×C61C2412yes—
572C4⋊C4×C61C2412yes—
573C4⋊C4×C61C2414yes—
574C4⋊C4×C61C2418yes—
575C4⋊C4×C61C2414yes—
576C4⋊C4×C61C2418yes—
577C4⋊C4×C61C2414yes—
578C4⋊C4×C61C2414yes—
579C22⋊C4×C61C2414yes—
580C22⋊C4×C61C2418yes—
581C22⋊C4×C61C2414yes—
582C22⋊C4×C61C2414yes—
583C22⋊C4×C61C2414yes—
584C22⋊C4×C61C2418yes—
585C22⋊C4×C61C2418yes—
586C22⋊C4×C61C2418yes—
587C22⋊C4×C61C2414yes—
588C22⋊C4×C61C2414yes—
589C22⋊C4×C61C2418yes—
590C22⋊C4×C61C2418yes—
591C22⋊C4×C61C2414yes—
592C22⋊C4×C61C2414yes—
593C22⋊C4×C61C2418yes—
594C22⋊C4×C61C2418yes—
595C22⋊C4×C61C2418yes—
596C22⋊C4×C61C2418yes—
597C22⋊C4×C61C2418yes—
598C22⋊C4×C61C2418yes—
599C22⋊C4×C61C2418yes—
600C22⋊C4×C61C2414yes—
601C22⋊C4×C61C2414yes—
602C22⋊C4×C61C2418yes—
603C22⋊C4×C61C2418yes—
604C22⋊C4×C61C2418yes—
605C22⋊C4×C61C2418yes—
606C22⋊C4×C61C2418yes—
607C22⋊C4×C61C2414yes—
608C22⋊C4×C61C2414yes—
609C22⋊C4×C61C2414yes—
610C22⋊C4×C61C2414yes—
611C42×C61C2414yes—
612C42×C61C2412yes—
613C42×C61C2414yes—
614C42×C61C2412yes—
615C42×C61C2418yes—
616C42×C61C2418yes—
617C23×C61—24no—
618C23×C61—28no—
619C23×C61—28no—
620C23×C61—24no—
621C23×C61—24no—
622C23×C61—22no—
623C23×C61—216no—
624C23×C61—28no—
625C23×C61—24no—
626C23×C61—28no—
627C23×C61—41no—
628C23×C61—42no—
629C23×C61—42no—
630C23×C61—41no—
631C23×C61—44no—
632C23×C61—42no—
633C23×C61—41no—
634C23×C61—42no—
635C23×C61—44no—
636C23×C61—44no—
637C23×C61—48no—
638C23×C61—48no—
639C23×C61—48no—
640C23×C61—41no—
641C23×C61—42no—
642C23×C61—48no—
643C23×C61—44no—
644C23×C61—44no—
645C23×C61—48no—
646C23×C61—44no—
647C23×C61—44no—
648C23×C61—44no—
649C23×C61—816no—
650C23×C61—832no—
651C23×C61H(5,𝔽2)14yescomplemented
652C23×C61C2514yes—
653C23×C61C2514yes—
654C23×C61C2518yes—
655C23×C61C2512yes—
656C23×C61C2512yes—
657C23×C61C2512yes—
658C23×C61C2512yes—
659C23×C61C2511yescharacteristic
660Q8×C61—24no—
661Q8×C61—42no—
662Q8×C61—42no—
663Q8×C61—44no—
664Q8×C61—42no—
665D4×C61—28no—
666D4×C61—28no—
667D4×C61—28no—
668D4×C61—216no—
669D4×C61—216no—
670D4×C61—216no—
671D4×C61—28no—
672D4×C61—24no—
673D4×C61—28no—
674D4×C61—24no—
675D4×C61—28no—
676D4×C61—22no—
677D4×C61—44no—
678D4×C61—48no—
679D4×C61—44no—
680D4×C61—48no—
681D4×C61—48no—
682D4×C61—48no—
683D4×C61—48no—
684D4×C61—42no—
685D4×C61—42no—
686D4×C61—44no—
687D4×C61—44no—
688D4×C61—48no—
689D4×C61—44no—
690D4×C61—48no—
691D4×C61—44no—
692D4×C61—48no—
693D4×C61—48no—
694D4×C61—42no—
695D4×C61—48no—
696D4×C61—44no—
697D4×C61—44no—
698D4×C61—48no—
699D4×C61H(5,𝔽2)14yescomplemented
700C2×C4×C61—24no—
701C2×C4×C61—28no—
702C2×C4×C61—28no—
703C2×C4×C61—22no—
704C2×C4×C61—24no—
705C2×C4×C61—22no—
706C2×C4×C61—28no—
707C2×C4×C61—24no—
708C2×C4×C61—41no—
709C2×C4×C61—41no—
710C2×C4×C61—48no—
711C2×C4×C61—44no—
712C2×C4×C61—48no—
713C2×C4×C61—42no—
714C2×C4×C61—42no—
715C2×C4×C61—42no—
716C2×C4×C61—42no—
717C2×C4×C61—44no—
718C2×C4×C61—41no—
719C2×C4×C61—42no—
720C2×C4×C61—44no—
721C2×C4×C61—44no—
722C2×C4×C61—44no—
723C2×C4×C61—48no—
724C2×C4×C61—48no—
725C2×C4×C61—42no—
726C2×C4×C61—48no—
727C2×C4×C61C2514yes—
728C2×C4×C61C2512yes—
729C2×C4×C61C2514yes—
730C2×C4×C61C2512yes—
731C2×C4×C61C2511yescharacteristic
732C2×C4×C61C2514yes—
733C2×C4×C61C2514yes—
734C2×C4×C61C2518yes—
735C2×C4×C61C2514yes—
736C2×C4×C61C2512yes—
737C2×C4×C61C2512yes—
738C2×C4×C61C2511yescharacteristic
739#62892C6111yesmaximal, characteristic, direct product factor, Sylow
740C22×C61—21no—
741C22×C61—22no—
742C22×C61—22no—
743C22×C61—21no—
744C22×C61—22no—
745C22×C61—22no—
746C22×C61—22no—
747C22×C61—24no—
748C22×C61—22no—
749C22×C61—22no—
750C22×C61—24no—
751C22×C61—28no—
752C22×C61—28no—
753C22×C61—24no—
754C22×C61—24no—
755C22×C61—22no—
756C22×C61—22no—
757C22×C61—28no—
758C22×C61—22no—
759C22×C61—24no—
760C22×C61—24no—
761C22×C61—44no—
762C22×C61—48no—
763C22×C61—416no—
764C22×C61—48no—
765C22×C61—82no—
766C22×C61—88no—
767C22×C61—88no—
768C22×C61—816no—
769C22×C61—84no—
770C22×C61—816no—
771C22×C61—164no—
772C22×C61C2×H(5,𝔽2)14yes—
773C22×C61C2×H(5,𝔽2)14yes—
774C22×C61C2×H(5,𝔽2)12yes—
775C22×C61C2611yescharacteristic
776C4×C61—22no—
777C4×C61—24no—
778C4×C61—22no—
779C4×C61—28no—
780C4×C61—24no—
781C4×C61—22no—
782C4×C61—21no—
783C4×C61—24no—
784C4×C61—24no—
785C4×C61—22no—
786C4×C61—24no—
787C4×C61C2×H(5,𝔽2)12yes—
788#3558C2×C6112yescomplemented
789#3543C2×C6114yescomplemented
790#3542C2×C6114yescomplemented
791#3537C2×C6114yescomplemented
792#3537C2×C6112yescomplemented
793#3534C2×C6118yescomplemented
794#3534C2×C6114yescomplemented
795#3532C2×C6118yescomplemented
796#3519C2×C6112yescomplemented
797#3513C2×C6114yescomplemented
798#3505C2×C6112yescomplemented
799#3496C2×C6111yescharacteristic, complemented
800#3490C2×C6112yescomplemented
801#3488C2×C6112yescomplemented
802#3484C2×C6114yescomplemented
803#3484C2×C6114yescomplemented
804C2×#546C2×C6111yescharacteristic, complemented
805C2×D42C2×C6112yescomplemented
806#3459C2×C6111yescharacteristic, complemented
807C2×#534C2×C6112yescomplemented
808C2×C61—24no—
809C2×C61—24no—
810C2×C61—22no—
811C2×C61—42no—
812C2×C61—44no—
813C2×C61—44no—
814C2×C61—48no—
815C2×C61—42no—
816C2×C61C22×H(5,𝔽2)11yescharacteristic
817C2×C61C22×H(5,𝔽2)11yescharacteristic
818C2×C61H(7,𝔽2)11yescharacteristic
819C2×H(5,𝔽2)C22×C6112yescomplemented
820C2×H(5,𝔽2)C22×C6112yescomplemented
821C22×#41C22×C6111yescharacteristic, complemented
822C23×D4C22×C6111yescharacteristic, complemented
823C23×D4C22×C6114yescomplemented
824C23×D4C22×C6112yescomplemented
825#562C22×C6118yescomplemented
826#562C22×C6114yescomplemented
827H(3,𝔽4)C22×C6114yescomplemented
828#560C22×C6118yescomplemented
829#560C22×C6118yescomplemented
830#560C22×C6118yescomplemented
831#560C22×C6118yescomplemented
832#559C22×C6114yescomplemented
833#555C22×C6112yescomplemented
834#554C22×C6112yescomplemented
835#553C22×C6118yescomplemented
836#553C22×C6114yescomplemented
837#553C22×C6114yescomplemented
838#553C22×C6118yescomplemented
839#553C22×C6114yescomplemented
840#552C22×C6114yescomplemented
841#551C22×C6118yescomplemented
842#551C22×C6118yescomplemented
843#551C22×C6118yescomplemented
844#551C22×C6118yescomplemented
845#550C22×C6114yescomplemented
846#550C22×C6112yescomplemented
847#548C22×C6114yescomplemented
848#547C22×C6114yescomplemented
849#546C22×C6114yescomplemented
850#546C22×C6114yescomplemented
851#546C22×C6114yescomplemented
852#546C22×C6118yescomplemented
853#546C22×C6118yescomplemented
854#546C22×C6118yescomplemented
855#546C22×C6118yescomplemented
856#546C22×C6118yescomplemented
857#546C22×C6114yescomplemented
858#546C22×C6118yescomplemented
859#546C22×C6118yescomplemented
860#546C22×C6114yescomplemented
861#546C22×C6118yescomplemented
862#546C22×C6118yescomplemented
863#546C22×C6118yescomplemented
864#546C22×C6114yescomplemented
865D42C22×C6114yescomplemented
866D42C22×C6118yescomplemented
867D42C22×C6114yescomplemented
868D42C22×C6114yescomplemented
869D42C22×C6112yescomplemented
870D42C22×C6118yescomplemented
871D42C22×C6118yescomplemented
872D42C22×C6118yescomplemented
873D42C22×C6118yescomplemented
874D42C22×C6114yescomplemented
875D42C22×C6114yescomplemented
876D42C22×C6114yescomplemented
877D42C22×C6118yescomplemented
878D42C22×C6118yescomplemented
879#543C22×C6111yescharacteristic, complemented
880#542C22×C6114yescomplemented
881#540C22×C6114yescomplemented
882#540C22×C6114yescomplemented
883#540C22×C6118yescomplemented
884#540C22×C6118yescomplemented
885#539C22×C6114yescomplemented
886#539C22×C6112yescomplemented
887#539C22×C6114yescomplemented
888#539C22×C6118yescomplemented
889#538C22×C6114yescomplemented
890#538C22×C6118yescomplemented
891#538C22×C6112yescomplemented
892#538C22×C6114yescomplemented
893#538C22×C6114yescomplemented
894#538C22×C6114yescomplemented
895#538C22×C6118yescomplemented
896#538C22×C6118yescomplemented
897#538C22×C6118yescomplemented
898#538C22×C6114yescomplemented
899#537C22×C6114yescomplemented
900#537C22×C6112yescomplemented
901#537C22×C6112yescomplemented
902#535C22×C6118yescomplemented
903#535C22×C6114yescomplemented
904#535C22×C6114yescomplemented
905#535C22×C6114yescomplemented
906#535C22×C6112yescomplemented
907#535C22×C6118yescomplemented
908#534C22×C6111yescharacteristic, complemented
909#534C22×C6114yescomplemented
910#534C22×C6112yescomplemented
911#534C22×C6112yescomplemented
912#534C22×C6118yescomplemented
913#534C22×C6118yescomplemented
914#534C22×C6118yescomplemented
915#534C22×C6118yescomplemented
916#534C22×C6114yescomplemented
917#534C22×C6114yescomplemented
918#534C22×C6118yescomplemented
919#534C22×C6112yescomplemented
920#534C22×C6114yescomplemented
921#532C22×C6112yescomplemented
922C2×#127C22×C6112yescomplemented
923#529C22×C6114yescomplemented
924#529C22×C6112yescomplemented
925#529C22×C6114yescomplemented
926C2×#124C22×C6111yescharacteristic, complemented
927#525C22×C6114yescomplemented
928#525C22×C6118yescomplemented
929#525C22×C6112yescomplemented
930#525C22×C6114yescomplemented
931#525C22×C6114yescomplemented
932#525C22×C6114yescomplemented
933C2×#123C22×C6118yescomplemented
934C2×#123C22×C6112yescomplemented
935C2×C22⋊Q8C22×C6111yescharacteristic, complemented
936C2×#121C22×C6112yescomplemented
937C2×#121C22×C6114yescomplemented
938C2×#121C22×C6112yescomplemented
939C2×#121C22×C6114yescomplemented
940C2×#121C22×C6114yescomplemented
941C2×#121C22×C6111yescharacteristic, complemented
942C2×#121C22×C6112yescomplemented
943C2×#121C22×C6112yescomplemented
944C2×#120C22×C6114yescomplemented
945C2×#120C22×C6112yescomplemented
946C2×#120C22×C6118yescomplemented
947C2×#120C22×C6114yescomplemented
948C2×#120C22×C6118yescomplemented
949#520C22×C6112yescomplemented
950#518C22×C6114yescomplemented
951#518C22×C6114yescomplemented
952C2×C4×D4C22×C6112yescomplemented
953C2×C4×D4C22×C6111yescharacteristic, complemented
954C2×C4×D4C22×C6112yescomplemented
955C2×C4×D4C22×C6111yescharacteristic, complemented
956C22×C22⋊C4C22×C6112yescomplemented
957C61#6289211yescharacteristic, direct product factor, Sylow
958C25C23×C6112yes—
959C25C23×C6114yescomplemented
960H(5,𝔽2)—48no—
961H(5,𝔽2)—48no—
962C2×#41—44no—
963C2×#41C23×C6112yes—
964C2×#41C23×C6112yescomplemented
965C2×#41C23×C6118yescomplemented
966C2×#41C23×C6114yescomplemented
967C2×#41C23×C6114yescomplemented
968C2×#41C23×C6114yescomplemented
969C2×#41C23×C6114yescomplemented
970C2×#41C23×C6112yescomplemented
971C2×#41C23×C6114yescomplemented
972C22×Q8C23×C6111yescharacteristic, complemented
973C22×D4—44no—
974C22×D4—48no—
975C22×D4—416no—
976C22×D4C23×C6111yescharacteristic
977C22×D4C23×C6112yes—
978C22×D4C23×C6111yescharacteristic
979C22×D4C23×C6112yes—
980C22×D4C23×C6114yes—
981C22×D4C23×C6114yes—
982C22×D4C23×C6114yes—
983C22×D4C23×C6118yes—
984C22×D4C23×C6112yes—
985C22×D4C23×C6111yescharacteristic
986C22×D4C23×C6112yes—
987C22×D4C23×C6118yes—
988C22×D4C23×C6114yescomplemented
989C22×D4C23×C6114yescomplemented
990C22×D4C23×C6112yescomplemented
991C22×D4C23×C6114yescomplemented
992C22×D4C23×C6118yescomplemented
993C22×D4C23×C6118yescomplemented
994C22×D4C23×C6118yescomplemented
995C22×D4C23×C6114yescomplemented
996C22×D4C23×C6112yescomplemented
997C22×D4C23×C6114yescomplemented
998C22×D4C23×C6112yescomplemented
999C22×D4C23×C6118yescomplemented
1000C22×D4C23×C6118yescomplemented
1001C22×D4C23×C6114yescomplemented
1002C22×D4C23×C6114yescomplemented
1003C22×D4C23×C6114yescomplemented
1004C22×D4C23×C6112yescomplemented
1005C22×D4C23×C6118yescomplemented
1006C23×C4C23×C6111yescharacteristic
1007C23×C4C23×C6112yescomplemented
1008C23×C4C23×C6111yescharacteristic, complemented
1009C23×C4C23×C6114yescomplemented
1010C23×C4C23×C6112yescomplemented
1011C23×C4C23×C6112yescomplemented
1012C4⋊Q8C23×C6112yescomplemented
1013#127C23×C6114yes—
1014#127C23×C6114yescomplemented
1015#127C23×C6118yescomplemented
1016#127C23×C6112yescomplemented
1017#127C23×C6118yescomplemented
1018#127C23×C6118yescomplemented
1019#126C23×C6114yescomplemented
1020#126C23×C6114yescomplemented
1021#126C23×C6118yescomplemented
1022#126C23×C6114yescomplemented
1023#126C23×C6118yescomplemented
1024#126C23×C6118yescomplemented
1025#126C23×C6118yescomplemented
1026#126C23×C6118yescomplemented
1027#125C23×C6114yescomplemented
1028#125C23×C6112yescomplemented
1029#125C23×C6114yescomplemented
1030#125C23×C6118yescomplemented
1031#124C23×C6114yescomplemented
1032#124C23×C6114yescomplemented
1033#124C23×C6114yescomplemented
1034#124C23×C6114yescomplemented
1035#124C23×C6112yescomplemented
1036#124C23×C6114yescomplemented
1037#124C23×C6118yescomplemented
1038#124C23×C6118yescomplemented
1039#124C23×C6118yescomplemented
1040#124C23×C6118yescomplemented
1041#124C23×C6118yescomplemented
1042#123C23×C6114yes—
1043#123C23×C6118yes—
1044#123C23×C6118yescomplemented
1045#123C23×C6118yescomplemented
1046#123C23×C6118yescomplemented
1047#123C23×C6118yescomplemented
1048#123C23×C6118yescomplemented
1049#123C23×C6118yescomplemented
1050#123C23×C6118yescomplemented
1051#123C23×C6118yescomplemented
1052#123C23×C6114yescomplemented
1053#123C23×C6114yescomplemented
1054#123C23×C6114yescomplemented
1055#123C23×C6118yescomplemented
1056#123C23×C6118yescomplemented
1057#123C23×C6114yescomplemented
1058#123C23×C6118yescomplemented
1059#123C23×C6114yescomplemented
1060#123C23×C6118yescomplemented
1061#123C23×C6118yescomplemented
1062#123C23×C6118yescomplemented
1063#123C23×C6118yescomplemented
1064#123C23×C6118yescomplemented
1065#123C23×C6118yescomplemented
1066#123C23×C6118yescomplemented
1067C22⋊Q8C23×C6114yescomplemented
1068C22⋊Q8C23×C6114yescomplemented
1069C22⋊Q8C23×C6112yescomplemented
1070C22⋊Q8C23×C6112yescomplemented
1071C22⋊Q8C23×C6112yescomplemented
1072C22⋊Q8C23×C6114yescomplemented
1073C22⋊Q8C23×C6114yescomplemented
1074C22⋊Q8C23×C6114yescomplemented
1075C22⋊Q8C23×C6118yescomplemented
1076C22⋊Q8C23×C6114yescomplemented
1077C22⋊Q8C23×C6118yescomplemented
1078C22⋊Q8C23×C6114yescomplemented
1079C22⋊Q8C23×C6114yescomplemented
1080C22⋊Q8C23×C6118yescomplemented
1081C22⋊Q8C23×C6118yescomplemented
1082#121C23×C6112yes—
1083#121C23×C6112yes—
1084#121C23×C6114yes—
1085#121C23×C6118yes—
1086#121C23×C6114yes—
1087#121C23×C6114yes—
1088#121C23×C6114yes—
1089#121C23×C6114yes—
1090#121C23×C6114yescomplemented
1091#121C23×C6114yescomplemented
1092#121C23×C6114yescomplemented
1093#121C23×C6114yescomplemented
1094#121C23×C6114yescomplemented
1095#121C23×C6118yescomplemented
1096#121C23×C6118yescomplemented
1097#121C23×C6118yescomplemented
1098#121C23×C6118yescomplemented
1099#121C23×C6114yescomplemented
1100#121C23×C6114yescomplemented
1101#121C23×C6114yescomplemented
1102#121C23×C6118yescomplemented
1103#121C23×C6114yescomplemented
1104#121C23×C6114yescomplemented
1105#121C23×C6114yescomplemented
1106#121C23×C6114yescomplemented
1107#121C23×C6118yescomplemented
1108#121C23×C6118yescomplemented
1109#121C23×C6114yescomplemented
1110#121C23×C6118yescomplemented
1111#121C23×C6118yescomplemented
1112#121C23×C6118yescomplemented
1113#121C23×C6112yescomplemented
1114#121C23×C6114yescomplemented
1115#121C23×C6118yescomplemented
1116#121C23×C6114yescomplemented
1117#121C23×C6114yescomplemented
1118#121C23×C6114yescomplemented
1119#121C23×C6118yescomplemented
1120#121C23×C6118yescomplemented
1121#121C23×C6118yescomplemented
1122#121C23×C6118yescomplemented
1123#121C23×C6118yescomplemented
1124#121C23×C6118yescomplemented
1125#121C23×C6118yescomplemented
1126#121C23×C6118yescomplemented
1127#121C23×C6118yescomplemented
1128#121C23×C6118yescomplemented
1129#121C23×C6118yescomplemented
1130#121C23×C6118yescomplemented
1131#121C23×C6118yescomplemented
1132#120C23×C6114yes—
1133#120C23×C6118yes—
1134#120C23×C6118yes—
1135#120C23×C6118yes—
1136#120C23×C6118yes—
1137#120C23×C6118yescomplemented
1138#120C23×C6114yescomplemented
1139#120C23×C6118yescomplemented
1140#120C23×C6118yescomplemented
1141#120C23×C6118yescomplemented
1142#120C23×C6118yescomplemented
1143#120C23×C6118yescomplemented
1144#120C23×C6118yescomplemented
1145#120C23×C6118yescomplemented
1146#120C23×C6118yescomplemented
1147#120C23×C6118yescomplemented
1148#120C23×C6118yescomplemented
1149#120C23×C6118yescomplemented
1150#120C23×C6118yescomplemented
1151#120C23×C6118yescomplemented
1152#120C23×C6118yescomplemented
1153#120C23×C6118yescomplemented
1154#120C23×C6118yescomplemented
1155#120C23×C6114yescomplemented
1156#120C23×C6118yescomplemented
1157#120C23×C6118yescomplemented
1158#120C23×C6118yescomplemented
1159C4×Q8C23×C6114yescomplemented
1160C4×Q8C23×C6112yescomplemented
1161C4×D4C23×C6112yes—
1162C4×D4C23×C6114yes—
1163C4×D4C23×C6114yes—
1164C4×D4C23×C6114yes—
1165C4×D4C23×C6114yescomplemented
1166C4×D4C23×C6114yescomplemented
1167C4×D4C23×C6114yescomplemented
1168C4×D4C23×C6118yescomplemented
1169C4×D4C23×C6114yescomplemented
1170C4×D4C23×C6114yescomplemented
1171C4×D4C23×C6112yescomplemented
1172C4×D4C23×C6114yescomplemented
1173C4×D4C23×C6118yescomplemented
1174C4×D4C23×C6118yescomplemented
1175C4×D4C23×C6118yescomplemented
1176C4×D4C23×C6118yescomplemented
1177C4×D4C23×C6118yescomplemented
1178C4×D4C23×C6118yescomplemented
1179C4×D4C23×C6114yescomplemented
1180C4×D4C23×C6114yescomplemented
1181C4×D4C23×C6118yescomplemented
1182C4×D4C23×C6112yescomplemented
1183C4×D4C23×C6114yescomplemented
1184C4×D4C23×C6118yescomplemented
1185C4×D4C23×C6118yescomplemented
1186C4×D4C23×C6118yescomplemented
1187C4×D4C23×C6118yescomplemented
1188C4×D4C23×C6114yescomplemented
1189#117C23×C6114yescomplemented
1190#117C23×C6118yescomplemented
1191#117C23×C6114yescomplemented
1192#117C23×C6112yescomplemented
1193#117C23×C6114yescomplemented
1194#117C23×C6114yescomplemented
1195#117C23×C6118yescomplemented
1196C2×C4⋊C4C23×C6112yescomplemented
1197C2×C4⋊C4C23×C6112yescomplemented
1198C2×C4⋊C4C23×C6111yescharacteristic, complemented
1199C2×C4⋊C4C23×C6111yescharacteristic, complemented
1200C2×C4⋊C4C23×C6114yescomplemented
1201C2×C4⋊C4C23×C6112yescomplemented
1202C2×C4⋊C4C23×C6112yescomplemented
1203C2×C4⋊C4C23×C6114yescomplemented
1204C2×C22⋊C4C23×C6111yescharacteristic
1205C2×C22⋊C4C23×C6112yes—
1206C2×C22⋊C4C23×C6112yes—
1207C2×C22⋊C4C23×C6118yescomplemented
1208C2×C22⋊C4C23×C6112yescomplemented
1209C2×C22⋊C4C23×C6112yescomplemented
1210C2×C22⋊C4C23×C6118yescomplemented
1211C2×C22⋊C4C23×C6112yescomplemented
1212C2×C22⋊C4C23×C6114yescomplemented
1213C2×C22⋊C4C23×C6112yescomplemented
1214C2×C22⋊C4C23×C6111yescharacteristic, complemented
1215C2×C22⋊C4C23×C6118yescomplemented
1216C2×C22⋊C4C23×C6118yescomplemented
1217C2×C22⋊C4C23×C6118yescomplemented
1218C2×C22⋊C4C23×C6114yescomplemented
1219C2×C22⋊C4C23×C6114yescomplemented
1220C2×C22⋊C4C23×C6118yescomplemented
1221C2×C22⋊C4C23×C6112yescomplemented
1222C2×C22⋊C4C23×C6118yescomplemented
1223C2×C22⋊C4C23×C6114yescomplemented
1224C2×C42C23×C6111yescharacteristic, complemented
1225C2×C42C23×C6112yescomplemented
1226C24—28no—
1227C24—44no—
1228C24—48no—
1229C24—48no—
1230C24—82no—
1231C24—84no—
1232C24C24×C6114yes—
1233C24C24×C6112yes—
1234C24C24×C6114yes—
1235C24C24×C6114yes—
1236C24C24×C6118yes—
1237C24C24×C6112yes—
1238C24C24×C6112yes—
1239C24C24×C6111yescharacteristic
1240C24C24×C6118yes—
1241C24C24×C6114yes—
1242C24C24×C6111yescharacteristic
1243#41—28no—
1244#41—44no—
1245#41—48no—
1246#41—416no—
1247#41—48no—
1248#41—48no—
1249#41—44no—
1250#41—48no—
1251#41—84no—
1252C2×Q8—42no—
1253C2×Q8C24×C6112yes—
1254C2×Q8C24×C6112yes—
1255C2×Q8C24×C6112yes—
1256C2×Q8C24×C6112yes—
1257C2×Q8C24×C6114yes—
1258C2×D4—28no—
1259C2×D4—216no—
1260C2×D4—24no—
1261C2×D4—28no—
1262C2×D4—24no—
1263C2×D4—216no—
1264C2×D4—44no—
1265C2×D4—42no—
1266C2×D4—44no—
1267C2×D4—48no—
1268C2×D4—44no—
1269C2×D4—48no—
1270C2×D4—48no—
1271C2×D4—48no—
1272C2×D4—44no—
1273C2×D4—416no—
1274C2×D4—416no—
1275C2×D4—48no—
1276C2×D4—416no—
1277C2×D4—416no—
1278C2×D4—416no—
1279C2×D4—48no—
1280C2×D4—44no—
1281C2×D4—48no—
1282C2×D4—416no—
1283C2×D4—416no—
1284C2×D4—82no—
1285C2×D4—84no—
1286C2×D4—84no—
1287C2×D4—88no—
1288C2×D4C24×C6114yes—
1289C2×D4C24×C6118yes—
1290C2×D4C24×C6114yes—
1291C2×D4C24×C6118yes—
1292C2×D4C24×C6114yes—
1293C2×D4C24×C6112yes—
1294C2×D4C24×C6114yes—
1295C2×D4C24×C6118yes—
1296C2×D4C24×C6114yes—
1297C2×D4C24×C6112yes—
1298C2×D4C24×C6114yes—
1299C2×D4C24×C6111yescharacteristic
1300C2×D4C24×C6112yes—
1301C2×D4C24×C6118yes—
1302C2×D4C24×C6118yes—
1303C2×D4C24×C6118yes—
1304C2×D4C24×C6114yes—
1305C2×D4C24×C6114yes—
1306C2×D4C24×C6118yes—
1307C2×D4C24×C6112yes—
1308C2×D4C24×C6118yes—
1309C2×D4C24×C6118yes—
1310C2×D4C24×C6118yes—
1311C2×D4C24×C6114yes—
1312C2×D4C24×C6114yes—
1313C2×D4C24×C6112yes—
1314C2×D4C24×C6114yes—
1315C2×D4C24×C6114yes—
1316C2×D4C24×C6118yes—
1317C2×D4C24×C6118yes—
1318C2×D4C24×C6114yes—
1319C2×D4C24×C6118yes—
1320C2×D4C24×C6114yes—
1321C2×D4C24×C6118yes—
1322C2×D4C24×C6111yescharacteristic
1323C22×C4—42no—
1324C22×C4—44no—
1325C22×C4—42no—
1326C22×C4—48no—
1327C22×C4—44no—
1328C22×C4—82no—
1329C22×C4C24×C6111yescharacteristic
1330C22×C4C24×C6112yes—
1331C22×C4C24×C6111yescharacteristic
1332C22×C4C24×C6112yes—
1333C22×C4C24×C6114yes—
1334C22×C4C24×C6114yes—
1335C22×C4C24×C6112yes—
1336C22×C4C24×C6114yes—
1337C22×C4C24×C6112yes—
1338C22×C4C24×C6111yescharacteristic
1339C22×C4C24×C6112yes—
1340C22×C4C24×C6112yes—
1341C22×C4C24×C6112yes—
1342C22×C4C24×C6111yescharacteristic
1343C22×C4C24×C6114yes—
1344C22×C4C24×C6112yes—
1345C22×C4C24×C6118yes—
1346C22×C4C24×C6118yes—
1347C22×C4C24×C6114yes—
1348C22×C4C24×C6118yes—
1349C22×C4C24×C6118yes—
1350C22×C4C24×C6114yes—
1351C22×C4C24×C6112yes—
1352C22×C4C24×C6111yescharacteristic
1353C22×C4C24×C6114yes—
1354C22×C4C24×C6114yes—
1355C22×C4C24×C6118yes—
1356C4⋊C4C24×C6114yes—
1357C4⋊C4C24×C6112yes—
1358C4⋊C4C24×C6114yes—
1359C4⋊C4C24×C6112yes—
1360C4⋊C4C24×C6112yes—
1361C4⋊C4C24×C6118yes—
1362C4⋊C4C24×C6118yes—
1363C4⋊C4C24×C6114yes—
1364C4⋊C4C24×C6114yes—
1365C4⋊C4C24×C6114yes—
1366C4⋊C4C24×C6114yes—
1367C4⋊C4C24×C6114yes—
1368C4⋊C4C24×C6112yes—
1369C4⋊C4C24×C6118yes—
1370C4⋊C4C24×C6112yes—
1371C4⋊C4C24×C6112yes—
1372C4⋊C4C24×C6114yes—
1373C4⋊C4C24×C6118yes—
1374C4⋊C4C24×C6114yes—
1375C4⋊C4C24×C6118yes—
1376C4⋊C4C24×C6114yes—
1377C4⋊C4C24×C6114yes—
1378C22⋊C4C24×C6114yes—
1379C22⋊C4C24×C6118yes—
1380C22⋊C4C24×C6114yes—
1381C22⋊C4C24×C6114yes—
1382C22⋊C4C24×C6114yes—
1383C22⋊C4C24×C6118yes—
1384C22⋊C4C24×C6118yes—
1385C22⋊C4C24×C6118yes—
1386C22⋊C4C24×C6114yes—
1387C22⋊C4C24×C6114yes—
1388C22⋊C4C24×C6118yes—
1389C22⋊C4C24×C6118yes—
1390C22⋊C4C24×C6114yes—
1391C22⋊C4C24×C6114yes—
1392C22⋊C4C24×C6118yes—
1393C22⋊C4C24×C6118yes—
1394C22⋊C4C24×C6118yes—
1395C22⋊C4C24×C6118yes—
1396C22⋊C4C24×C6118yes—
1397C22⋊C4C24×C6118yes—
1398C22⋊C4C24×C6118yes—
1399C22⋊C4C24×C6114yes—
1400C22⋊C4C24×C6114yes—
1401C22⋊C4C24×C6118yes—
1402C22⋊C4C24×C6118yes—
1403C22⋊C4C24×C6118yes—
1404C22⋊C4C24×C6118yes—
1405C22⋊C4C24×C6118yes—
1406C22⋊C4C24×C6114yes—
1407C22⋊C4C24×C6114yes—
1408C22⋊C4C24×C6114yes—
1409C22⋊C4C24×C6114yes—
1410C42C24×C6114yes—
1411C42C24×C6112yes—
1412C42C24×C6114yes—
1413C42C24×C6112yes—
1414C42C24×C6118yes—
1415C42C24×C6118yes—
1416C23—24no—
1417C23—28no—
1418C23—28no—
1419C23—24no—
1420C23—24no—
1421C23—22no—
1422C23—216no—
1423C23—28no—
1424C23—24no—
1425C23—28no—
1426C23—41no—
1427C23—42no—
1428C23—42no—
1429C23—41no—
1430C23—44no—
1431C23—42no—
1432C23—41no—
1433C23—42no—
1434C23—44no—
1435C23—44no—
1436C23—48no—
1437C23—48no—
1438C23—48no—
1439C23—41no—
1440C23—42no—
1441C23—48no—
1442C23—44no—
1443C23—44no—
1444C23—48no—
1445C23—44no—
1446C23—44no—
1447C23—44no—
1448C23—816no—
1449C23—832no—
1450C23H(5,𝔽2)×C6114yescomplemented
1451C23C25×C6114yes—
1452C23C25×C6114yes—
1453C23C25×C6118yes—
1454C23C25×C6112yes—
1455C23C25×C6112yes—
1456C23C25×C6112yes—
1457C23C25×C6112yes—
1458C23C25×C6111yescharacteristic
1459Q8—24no—
1460Q8—42no—
1461Q8—42no—
1462Q8—44no—
1463Q8—42no—
1464D4—28no—
1465D4—28no—
1466D4—28no—
1467D4—216no—
1468D4—216no—
1469D4—216no—
1470D4—28no—
1471D4—24no—
1472D4—28no—
1473D4—24no—
1474D4—28no—
1475D4—22no—
1476D4—44no—
1477D4—48no—
1478D4—44no—
1479D4—48no—
1480D4—48no—
1481D4—48no—
1482D4—48no—
1483D4—42no—
1484D4—42no—
1485D4—44no—
1486D4—44no—
1487D4—48no—
1488D4—44no—
1489D4—48no—
1490D4—44no—
1491D4—48no—
1492D4—48no—
1493D4—42no—
1494D4—48no—
1495D4—44no—
1496D4—44no—
1497D4—48no—
1498D4H(5,𝔽2)×C6114yescomplemented
1499C2×C4—24no—
1500C2×C4—28no—
1501C2×C4—28no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—28no—
1506C2×C4—24no—
1507C2×C4—41no—
1508C2×C4—41no—
1509C2×C4—48no—
1510C2×C4—44no—
1511C2×C4—48no—
1512C2×C4—42no—
1513C2×C4—42no—
1514C2×C4—42no—
1515C2×C4—42no—
1516C2×C4—44no—
1517C2×C4—41no—
1518C2×C4—42no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—44no—
1522C2×C4—48no—
1523C2×C4—48no—
1524C2×C4—42no—
1525C2×C4—48no—
1526C2×C4C25×C6114yes—
1527C2×C4C25×C6112yes—
1528C2×C4C25×C6114yes—
1529C2×C4C25×C6112yes—
1530C2×C4C25×C6111yescharacteristic
1531C2×C4C25×C6114yes—
1532C2×C4C25×C6114yes—
1533C2×C4C25×C6118yes—
1534C2×C4C25×C6114yes—
1535C2×C4C25×C6112yes—
1536C2×C4C25×C6112yes—
1537C2×C4C25×C6111yescharacteristic
1538C22—21no—
1539C22—22no—
1540C22—22no—
1541C22—21no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—24no—
1546C22—22no—
1547C22—22no—
1548C22—24no—
1549C22—28no—
1550C22—28no—
1551C22—24no—
1552C22—24no—
1553C22—22no—
1554C22—22no—
1555C22—28no—
1556C22—22no—
1557C22—24no—
1558C22—24no—
1559C22—44no—
1560C22—48no—
1561C22—416no—
1562C22—48no—
1563C22—82no—
1564C22—88no—
1565C22—88no—
1566C22—816no—
1567C22—84no—
1568C22—816no—
1569C22—164no—
1570C22C2×H(5,𝔽2)×C6114yes—
1571C22C2×H(5,𝔽2)×C6114yes—
1572C22C2×H(5,𝔽2)×C6112yes—
1573C22C26×C6111yescharacteristic
1574C4—22no—
1575C4—24no—
1576C4—22no—
1577C4—28no—
1578C4—24no—
1579C4—22no—
1580C4—21no—
1581C4—24no—
1582C4—24no—
1583C4—22no—
1584C4—24no—
1585C4C2×H(5,𝔽2)×C6112yes—
1586C2—24no—
1587C2—24no—
1588C2—22no—
1589C2—44no—
1590C2—44no—
1591C2—42no—
1592C2—48no—
1593C2—42no—
1594C2C22×H(5,𝔽2)×C6111yescharacteristic
1595C2C22×H(5,𝔽2)×C6111yescharacteristic
1596C2C61×H(7,𝔽2)11yescharacteristic
subgroupG/H
center, socleC22×C61C26
commutator, Frattini, cosocleC22C26×C61
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C61 ◁ G

Complements

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

NH ≅ G/Ntype
1. C61×#3558C2semidirect
2. C61×#3543C2semidirect
3. C61×#3542C2semidirect
4. C61×#3537C2semidirect
5. C61×#3537C2semidirect
6. C61×#3534C2semidirect
7. C61×#3534C2semidirect
8. C61×#3532C2semidirect
9. C61×#3519C2semidirect
10. C61×#3513C2semidirect
11. C61×#3505C2semidirect
12. C61×#3496C2semidirect
13. C61×#3490C2semidirect
14. C61×#3488C2semidirect
15. C61×#3484C2semidirect
16. C61×#3484C2semidirect
17. C2×C61×#546C2semidirect
18. C2×D42×C61C2semidirect
19. C61×#3459C2semidirect
20. C2×C61×#534C2semidirect
21. C2×H(5,𝔽2)×C61C22semidirect
22. C2×H(5,𝔽2)×C61C22semidirect
23. C22×#41×C61C22semidirect
24. C23×D4×C61C22semidirect
25. C23×D4×C61C22semidirect
26. C23×D4×C61C22semidirect
27. C61×#562C22semidirect
28. C61×#562C22semidirect
29. C61×H(3,𝔽4)C22semidirect
30. C61×#560C22semidirect
31. C61×#560C22semidirect
32. C61×#560C22semidirect
33. C61×#560C22semidirect
34. C61×#559C22semidirect
35. C61×#555C22semidirect
36. C61×#554C22semidirect
37. C61×#553C22semidirect
38. C61×#553C22semidirect
39. C61×#553C22semidirect
40. C61×#553C22semidirect
41. C61×#553C22semidirect
42. C61×#552C22semidirect
43. C61×#551C22semidirect
44. C61×#551C22semidirect
45. C61×#551C22semidirect
46. C61×#551C22semidirect
47. C61×#550C22semidirect
48. C61×#550C22semidirect
49. C61×#548C22semidirect
50. C61×#547C22semidirect
51. C61×#546C22semidirect
52. C61×#546C22semidirect
53. C61×#546C22semidirect
54. C61×#546C22semidirect
55. C61×#546C22semidirect
56. C61×#546C22semidirect
57. C61×#546C22semidirect
58. C61×#546C22semidirect
59. C61×#546C22semidirect
60. C61×#546C22semidirect
61. C61×#546C22semidirect
62. C61×#546C22semidirect
63. C61×#546C22semidirect
64. C61×#546C22semidirect
65. C61×#546C22semidirect
66. C61×#546C22semidirect
67. D42×C61C22semidirect
68. D42×C61C22semidirect
69. D42×C61C22semidirect
70. D42×C61C22semidirect
71. D42×C61C22semidirect
72. D42×C61C22semidirect
73. D42×C61C22semidirect
74. D42×C61C22semidirect
75. D42×C61C22semidirect
76. D42×C61C22semidirect
77. D42×C61C22semidirect
78. D42×C61C22semidirect
79. D42×C61C22semidirect
80. D42×C61C22semidirect
81. C61×#543C22semidirect
82. C61×#542C22semidirect
83. C61×#540C22semidirect
84. C61×#540C22semidirect
85. C61×#540C22semidirect
86. C61×#540C22semidirect
87. C61×#539C22semidirect
88. C61×#539C22semidirect
89. C61×#539C22semidirect
90. C61×#539C22semidirect
91. C61×#538C22semidirect
92. C61×#538C22semidirect
93. C61×#538C22semidirect
94. C61×#538C22semidirect
95. C61×#538C22semidirect
96. C61×#538C22semidirect
97. C61×#538C22semidirect
98. C61×#538C22semidirect
99. C61×#538C22semidirect
100. C61×#538C22semidirect
101. C61×#537C22semidirect
102. C61×#537C22semidirect
103. C61×#537C22semidirect
104. C61×#535C22semidirect
105. C61×#535C22semidirect
106. C61×#535C22semidirect
107. C61×#535C22semidirect
108. C61×#535C22semidirect
109. C61×#535C22semidirect
110. C61×#534C22semidirect
111. C61×#534C22semidirect
112. C61×#534C22semidirect
113. C61×#534C22semidirect
114. C61×#534C22semidirect
115. C61×#534C22semidirect
116. C61×#534C22semidirect
117. C61×#534C22semidirect
118. C61×#534C22semidirect
119. C61×#534C22semidirect
120. C61×#534C22semidirect
121. C61×#534C22semidirect
122. C61×#534C22semidirect
123. C61×#532C22semidirect
124. C2×#127×C61C22semidirect
125. C61×#529C22semidirect
126. C61×#529C22semidirect
127. C61×#529C22semidirect
128. C2×#124×C61C22semidirect
129. C61×#525C22semidirect
130. C61×#525C22semidirect
131. C61×#525C22semidirect
132. C61×#525C22semidirect
133. C61×#525C22semidirect
134. C61×#525C22semidirect
135. C2×#123×C61C22semidirect
136. C2×#123×C61C22semidirect
137. C2×C22⋊Q8×C61C22semidirect
138. C2×#121×C61C22semidirect
139. C2×#121×C61C22semidirect
140. C2×#121×C61C22semidirect
141. C2×#121×C61C22semidirect
142. C2×#121×C61C22semidirect
143. C2×#121×C61C22semidirect
144. C2×#121×C61C22semidirect
145. C2×#121×C61C22semidirect
146. C2×#120×C61C22semidirect
147. C2×#120×C61C22semidirect
148. C2×#120×C61C22semidirect
149. C2×#120×C61C22semidirect
150. C2×#120×C61C22semidirect
151. C61×#520C22semidirect
152. C61×#518C22semidirect
153. C61×#518C22semidirect
154. C2×C4×D4×C61C22semidirect
155. C2×C4×D4×C61C22semidirect
156. C2×C4×D4×C61C22semidirect
157. C2×C4×D4×C61C22semidirect
158. C22×C22⋊C4×C61C22semidirect
160. C25×C61C23semidirect
165. C2×#41×C61C23semidirect
166. C2×#41×C61C23semidirect
167. C2×#41×C61C23semidirect
168. C2×#41×C61C23semidirect
169. C2×#41×C61C23semidirect
170. C2×#41×C61C23semidirect
171. C2×#41×C61C23semidirect
172. C2×#41×C61C23semidirect
173. C22×Q8×C61C23semidirect
189. C22×D4×C61C23semidirect
190. C22×D4×C61C23semidirect
191. C22×D4×C61C23semidirect
192. C22×D4×C61C23semidirect
193. C22×D4×C61C23semidirect
194. C22×D4×C61C23semidirect
195. C22×D4×C61C23semidirect
196. C22×D4×C61C23semidirect
197. C22×D4×C61C23semidirect
198. C22×D4×C61C23semidirect
199. C22×D4×C61C23semidirect
200. C22×D4×C61C23semidirect
201. C22×D4×C61C23semidirect
202. C22×D4×C61C23semidirect
203. C22×D4×C61C23semidirect
204. C22×D4×C61C23semidirect
205. C22×D4×C61C23semidirect
206. C22×D4×C61C23semidirect
208. C23×C4×C61C23semidirect
209. C23×C4×C61C23semidirect
210. C23×C4×C61C23semidirect
211. C23×C4×C61C23semidirect
212. C23×C4×C61C23semidirect
213. C4⋊Q8×C61C23semidirect
215. #127×C61C23semidirect
216. #127×C61C23semidirect
217. #127×C61C23semidirect
218. #127×C61C23semidirect
219. #127×C61C23semidirect
220. #126×C61C23semidirect
221. #126×C61C23semidirect
222. #126×C61C23semidirect
223. #126×C61C23semidirect
224. #126×C61C23semidirect
225. #126×C61C23semidirect
226. #126×C61C23semidirect
227. #126×C61C23semidirect
228. #125×C61C23semidirect
229. #125×C61C23semidirect
230. #125×C61C23semidirect
231. #125×C61C23semidirect
232. #124×C61C23semidirect
233. #124×C61C23semidirect
234. #124×C61C23semidirect
235. #124×C61C23semidirect
236. #124×C61C23semidirect
237. #124×C61C23semidirect
238. #124×C61C23semidirect
239. #124×C61C23semidirect
240. #124×C61C23semidirect
241. #124×C61C23semidirect
242. #124×C61C23semidirect
245. #123×C61C23semidirect
246. #123×C61C23semidirect
247. #123×C61C23semidirect
248. #123×C61C23semidirect
249. #123×C61C23semidirect
250. #123×C61C23semidirect
251. #123×C61C23semidirect
252. #123×C61C23semidirect
253. #123×C61C23semidirect
254. #123×C61C23semidirect
255. #123×C61C23semidirect
256. #123×C61C23semidirect
257. #123×C61C23semidirect
258. #123×C61C23semidirect
259. #123×C61C23semidirect
260. #123×C61C23semidirect
261. #123×C61C23semidirect
262. #123×C61C23semidirect
263. #123×C61C23semidirect
264. #123×C61C23semidirect
265. #123×C61C23semidirect
266. #123×C61C23semidirect
267. #123×C61C23semidirect
268. C22⋊Q8×C61C23semidirect
269. C22⋊Q8×C61C23semidirect
270. C22⋊Q8×C61C23semidirect
271. C22⋊Q8×C61C23semidirect
272. C22⋊Q8×C61C23semidirect
273. C22⋊Q8×C61C23semidirect
274. C22⋊Q8×C61C23semidirect
275. C22⋊Q8×C61C23semidirect
276. C22⋊Q8×C61C23semidirect
277. C22⋊Q8×C61C23semidirect
278. C22⋊Q8×C61C23semidirect
279. C22⋊Q8×C61C23semidirect
280. C22⋊Q8×C61C23semidirect
281. C22⋊Q8×C61C23semidirect
282. C22⋊Q8×C61C23semidirect
291. #121×C61C23semidirect
292. #121×C61C23semidirect
293. #121×C61C23semidirect
294. #121×C61C23semidirect
295. #121×C61C23semidirect
296. #121×C61C23semidirect
297. #121×C61C23semidirect
298. #121×C61C23semidirect
299. #121×C61C23semidirect
300. #121×C61C23semidirect
301. #121×C61C23semidirect
302. #121×C61C23semidirect
303. #121×C61C23semidirect
304. #121×C61C23semidirect
305. #121×C61C23semidirect
306. #121×C61C23semidirect
307. #121×C61C23semidirect
308. #121×C61C23semidirect
309. #121×C61C23semidirect
310. #121×C61C23semidirect
311. #121×C61C23semidirect
312. #121×C61C23semidirect
313. #121×C61C23semidirect
314. #121×C61C23semidirect
315. #121×C61C23semidirect
316. #121×C61C23semidirect
317. #121×C61C23semidirect
318. #121×C61C23semidirect
319. #121×C61C23semidirect
320. #121×C61C23semidirect
321. #121×C61C23semidirect
322. #121×C61C23semidirect
323. #121×C61C23semidirect
324. #121×C61C23semidirect
325. #121×C61C23semidirect
326. #121×C61C23semidirect
327. #121×C61C23semidirect
328. #121×C61C23semidirect
329. #121×C61C23semidirect
330. #121×C61C23semidirect
331. #121×C61C23semidirect
332. #121×C61C23semidirect
338. #120×C61C23semidirect
339. #120×C61C23semidirect
340. #120×C61C23semidirect
341. #120×C61C23semidirect
342. #120×C61C23semidirect
343. #120×C61C23semidirect
344. #120×C61C23semidirect
345. #120×C61C23semidirect
346. #120×C61C23semidirect
347. #120×C61C23semidirect
348. #120×C61C23semidirect
349. #120×C61C23semidirect
350. #120×C61C23semidirect
351. #120×C61C23semidirect
352. #120×C61C23semidirect
353. #120×C61C23semidirect
354. #120×C61C23semidirect
355. #120×C61C23semidirect
356. #120×C61C23semidirect
357. #120×C61C23semidirect
358. #120×C61C23semidirect
359. #120×C61C23semidirect
360. C4×Q8×C61C23semidirect
361. C4×Q8×C61C23semidirect
366. C4×D4×C61C23semidirect
367. C4×D4×C61C23semidirect
368. C4×D4×C61C23semidirect
369. C4×D4×C61C23semidirect
370. C4×D4×C61C23semidirect
371. C4×D4×C61C23semidirect
372. C4×D4×C61C23semidirect
373. C4×D4×C61C23semidirect
374. C4×D4×C61C23semidirect
375. C4×D4×C61C23semidirect
376. C4×D4×C61C23semidirect
377. C4×D4×C61C23semidirect
378. C4×D4×C61C23semidirect
379. C4×D4×C61C23semidirect
380. C4×D4×C61C23semidirect
381. C4×D4×C61C23semidirect
382. C4×D4×C61C23semidirect
383. C4×D4×C61C23semidirect
384. C4×D4×C61C23semidirect
385. C4×D4×C61C23semidirect
386. C4×D4×C61C23semidirect
387. C4×D4×C61C23semidirect
388. C4×D4×C61C23semidirect
389. C4×D4×C61C23semidirect
390. #117×C61C23semidirect
391. #117×C61C23semidirect
392. #117×C61C23semidirect
393. #117×C61C23semidirect
394. #117×C61C23semidirect
395. #117×C61C23semidirect
396. #117×C61C23semidirect
397. C2×C4⋊C4×C61C23semidirect
398. C2×C4⋊C4×C61C23semidirect
399. C2×C4⋊C4×C61C23semidirect
400. C2×C4⋊C4×C61C23semidirect
401. C2×C4⋊C4×C61C23semidirect
402. C2×C4⋊C4×C61C23semidirect
403. C2×C4⋊C4×C61C23semidirect
404. C2×C4⋊C4×C61C23semidirect
408. C2×C22⋊C4×C61C23semidirect
409. C2×C22⋊C4×C61C23semidirect
410. C2×C22⋊C4×C61C23semidirect
411. C2×C22⋊C4×C61C23semidirect
412. C2×C22⋊C4×C61C23semidirect
413. C2×C22⋊C4×C61C23semidirect
414. C2×C22⋊C4×C61C23semidirect
415. C2×C22⋊C4×C61C23semidirect
416. C2×C22⋊C4×C61C23semidirect
417. C2×C22⋊C4×C61C23semidirect
418. C2×C22⋊C4×C61C23semidirect
419. C2×C22⋊C4×C61C23semidirect
420. C2×C22⋊C4×C61C23semidirect
421. C2×C22⋊C4×C61C23semidirect
422. C2×C22⋊C4×C61C23semidirect
423. C2×C22⋊C4×C61C23semidirect
424. C2×C22⋊C4×C61C23semidirect
425. C2×C42×C61C23semidirect
426. C2×C42×C61C23semidirect
651. C23×C61H(5,𝔽2)semidirect
699. D4×C61H(5,𝔽2)semidirect
739. #62892C61direct (N × H)
788. #3558C2×C61semidirect
789. #3543C2×C61semidirect
790. #3542C2×C61semidirect
791. #3537C2×C61semidirect
792. #3537C2×C61semidirect
793. #3534C2×C61semidirect
794. #3534C2×C61semidirect
795. #3532C2×C61semidirect
796. #3519C2×C61semidirect
797. #3513C2×C61semidirect
798. #3505C2×C61semidirect
799. #3496C2×C61semidirect
800. #3490C2×C61semidirect
801. #3488C2×C61semidirect
802. #3484C2×C61semidirect
803. #3484C2×C61semidirect
804. C2×#546C2×C61semidirect
805. C2×D42C2×C61semidirect
806. #3459C2×C61semidirect
807. C2×#534C2×C61semidirect
819. C2×H(5,𝔽2)C22×C61semidirect
820. C2×H(5,𝔽2)C22×C61semidirect
821. C22×#41C22×C61semidirect
822. C23×D4C22×C61semidirect
823. C23×D4C22×C61semidirect
824. C23×D4C22×C61semidirect
825. #562C22×C61semidirect
826. #562C22×C61semidirect
827. H(3,𝔽4)C22×C61semidirect
828. #560C22×C61semidirect
829. #560C22×C61semidirect
830. #560C22×C61semidirect
831. #560C22×C61semidirect
832. #559C22×C61semidirect
833. #555C22×C61semidirect
834. #554C22×C61semidirect
835. #553C22×C61semidirect
836. #553C22×C61semidirect
837. #553C22×C61semidirect
838. #553C22×C61semidirect
839. #553C22×C61semidirect
840. #552C22×C61semidirect
841. #551C22×C61semidirect
842. #551C22×C61semidirect
843. #551C22×C61semidirect
844. #551C22×C61semidirect
845. #550C22×C61semidirect
846. #550C22×C61semidirect
847. #548C22×C61semidirect
848. #547C22×C61semidirect
849. #546C22×C61semidirect
850. #546C22×C61semidirect
851. #546C22×C61semidirect
852. #546C22×C61semidirect
853. #546C22×C61semidirect
854. #546C22×C61semidirect
855. #546C22×C61semidirect
856. #546C22×C61semidirect
857. #546C22×C61semidirect
858. #546C22×C61semidirect
859. #546C22×C61semidirect
860. #546C22×C61semidirect
861. #546C22×C61semidirect
862. #546C22×C61semidirect
863. #546C22×C61semidirect
864. #546C22×C61semidirect
865. D42C22×C61semidirect
866. D42C22×C61semidirect
867. D42C22×C61semidirect
868. D42C22×C61semidirect
869. D42C22×C61semidirect
870. D42C22×C61semidirect
871. D42C22×C61semidirect
872. D42C22×C61semidirect
873. D42C22×C61semidirect
874. D42C22×C61semidirect
875. D42C22×C61semidirect
876. D42C22×C61semidirect
877. D42C22×C61semidirect
878. D42C22×C61semidirect
879. #543C22×C61semidirect
880. #542C22×C61semidirect
881. #540C22×C61semidirect
882. #540C22×C61semidirect
883. #540C22×C61semidirect
884. #540C22×C61semidirect
885. #539C22×C61semidirect
886. #539C22×C61semidirect
887. #539C22×C61semidirect
888. #539C22×C61semidirect
889. #538C22×C61semidirect
890. #538C22×C61semidirect
891. #538C22×C61semidirect
892. #538C22×C61semidirect
893. #538C22×C61semidirect
894. #538C22×C61semidirect
895. #538C22×C61semidirect
896. #538C22×C61semidirect
897. #538C22×C61semidirect
898. #538C22×C61semidirect
899. #537C22×C61semidirect
900. #537C22×C61semidirect
901. #537C22×C61semidirect
902. #535C22×C61semidirect
903. #535C22×C61semidirect
904. #535C22×C61semidirect
905. #535C22×C61semidirect
906. #535C22×C61semidirect
907. #535C22×C61semidirect
908. #534C22×C61semidirect
909. #534C22×C61semidirect
910. #534C22×C61semidirect
911. #534C22×C61semidirect
912. #534C22×C61semidirect
913. #534C22×C61semidirect
914. #534C22×C61semidirect
915. #534C22×C61semidirect
916. #534C22×C61semidirect
917. #534C22×C61semidirect
918. #534C22×C61semidirect
919. #534C22×C61semidirect
920. #534C22×C61semidirect
921. #532C22×C61semidirect
922. C2×#127C22×C61semidirect
923. #529C22×C61semidirect
924. #529C22×C61semidirect
925. #529C22×C61semidirect
926. C2×#124C22×C61semidirect
927. #525C22×C61semidirect
928. #525C22×C61semidirect
929. #525C22×C61semidirect
930. #525C22×C61semidirect
931. #525C22×C61semidirect
932. #525C22×C61semidirect
933. C2×#123C22×C61semidirect
934. C2×#123C22×C61semidirect
935. C2×C22⋊Q8C22×C61semidirect
936. C2×#121C22×C61semidirect
937. C2×#121C22×C61semidirect
938. C2×#121C22×C61semidirect
939. C2×#121C22×C61semidirect
940. C2×#121C22×C61semidirect
941. C2×#121C22×C61semidirect
942. C2×#121C22×C61semidirect
943. C2×#121C22×C61semidirect
944. C2×#120C22×C61semidirect
945. C2×#120C22×C61semidirect
946. C2×#120C22×C61semidirect
947. C2×#120C22×C61semidirect
948. C2×#120C22×C61semidirect
949. #520C22×C61semidirect
950. #518C22×C61semidirect
951. #518C22×C61semidirect
952. C2×C4×D4C22×C61semidirect
953. C2×C4×D4C22×C61semidirect
954. C2×C4×D4C22×C61semidirect
955. C2×C4×D4C22×C61semidirect
956. C22×C22⋊C4C22×C61semidirect
957. C61#62892direct (N × H)
959. C25C23×C61semidirect
964. C2×#41C23×C61semidirect
965. C2×#41C23×C61semidirect
966. C2×#41C23×C61semidirect
967. C2×#41C23×C61semidirect
968. C2×#41C23×C61semidirect
969. C2×#41C23×C61semidirect
970. C2×#41C23×C61semidirect
971. C2×#41C23×C61semidirect
972. C22×Q8C23×C61semidirect
988. C22×D4C23×C61semidirect
989. C22×D4C23×C61semidirect
990. C22×D4C23×C61semidirect
991. C22×D4C23×C61semidirect
992. C22×D4C23×C61semidirect
993. C22×D4C23×C61semidirect
994. C22×D4C23×C61semidirect
995. C22×D4C23×C61semidirect
996. C22×D4C23×C61semidirect
997. C22×D4C23×C61semidirect
998. C22×D4C23×C61semidirect
999. C22×D4C23×C61semidirect
1000. C22×D4C23×C61semidirect
1001. C22×D4C23×C61semidirect
1002. C22×D4C23×C61semidirect
1003. C22×D4C23×C61semidirect
1004. C22×D4C23×C61semidirect
1005. C22×D4C23×C61semidirect
1007. C23×C4C23×C61semidirect
1008. C23×C4C23×C61semidirect
1009. C23×C4C23×C61semidirect
1010. C23×C4C23×C61semidirect
1011. C23×C4C23×C61semidirect
1012. C4⋊Q8C23×C61semidirect
1014. #127C23×C61semidirect
1015. #127C23×C61semidirect
1016. #127C23×C61semidirect
1017. #127C23×C61semidirect
1018. #127C23×C61semidirect
1019. #126C23×C61semidirect
1020. #126C23×C61semidirect
1021. #126C23×C61semidirect
1022. #126C23×C61semidirect
1023. #126C23×C61semidirect
1024. #126C23×C61semidirect
1025. #126C23×C61semidirect
1026. #126C23×C61semidirect
1027. #125C23×C61semidirect
1028. #125C23×C61semidirect
1029. #125C23×C61semidirect
1030. #125C23×C61semidirect
1031. #124C23×C61semidirect
1032. #124C23×C61semidirect
1033. #124C23×C61semidirect
1034. #124C23×C61semidirect
1035. #124C23×C61semidirect
1036. #124C23×C61semidirect
1037. #124C23×C61semidirect
1038. #124C23×C61semidirect
1039. #124C23×C61semidirect
1040. #124C23×C61semidirect
1041. #124C23×C61semidirect
1044. #123C23×C61semidirect
1045. #123C23×C61semidirect
1046. #123C23×C61semidirect
1047. #123C23×C61semidirect
1048. #123C23×C61semidirect
1049. #123C23×C61semidirect
1050. #123C23×C61semidirect
1051. #123C23×C61semidirect
1052. #123C23×C61semidirect
1053. #123C23×C61semidirect
1054. #123C23×C61semidirect
1055. #123C23×C61semidirect
1056. #123C23×C61semidirect
1057. #123C23×C61semidirect
1058. #123C23×C61semidirect
1059. #123C23×C61semidirect
1060. #123C23×C61semidirect
1061. #123C23×C61semidirect
1062. #123C23×C61semidirect
1063. #123C23×C61semidirect
1064. #123C23×C61semidirect
1065. #123C23×C61semidirect
1066. #123C23×C61semidirect
1067. C22⋊Q8C23×C61semidirect
1068. C22⋊Q8C23×C61semidirect
1069. C22⋊Q8C23×C61semidirect
1070. C22⋊Q8C23×C61semidirect
1071. C22⋊Q8C23×C61semidirect
1072. C22⋊Q8C23×C61semidirect
1073. C22⋊Q8C23×C61semidirect
1074. C22⋊Q8C23×C61semidirect
1075. C22⋊Q8C23×C61semidirect
1076. C22⋊Q8C23×C61semidirect
1077. C22⋊Q8C23×C61semidirect
1078. C22⋊Q8C23×C61semidirect
1079. C22⋊Q8C23×C61semidirect
1080. C22⋊Q8C23×C61semidirect
1081. C22⋊Q8C23×C61semidirect
1090. #121C23×C61semidirect
1091. #121C23×C61semidirect
1092. #121C23×C61semidirect
1093. #121C23×C61semidirect
1094. #121C23×C61semidirect
1095. #121C23×C61semidirect
1096. #121C23×C61semidirect
1097. #121C23×C61semidirect
1098. #121C23×C61semidirect
1099. #121C23×C61semidirect
1100. #121C23×C61semidirect
1101. #121C23×C61semidirect
1102. #121C23×C61semidirect
1103. #121C23×C61semidirect
1104. #121C23×C61semidirect
1105. #121C23×C61semidirect
1106. #121C23×C61semidirect
1107. #121C23×C61semidirect
1108. #121C23×C61semidirect
1109. #121C23×C61semidirect
1110. #121C23×C61semidirect
1111. #121C23×C61semidirect
1112. #121C23×C61semidirect
1113. #121C23×C61semidirect
1114. #121C23×C61semidirect
1115. #121C23×C61semidirect
1116. #121C23×C61semidirect
1117. #121C23×C61semidirect
1118. #121C23×C61semidirect
1119. #121C23×C61semidirect
1120. #121C23×C61semidirect
1121. #121C23×C61semidirect
1122. #121C23×C61semidirect
1123. #121C23×C61semidirect
1124. #121C23×C61semidirect
1125. #121C23×C61semidirect
1126. #121C23×C61semidirect
1127. #121C23×C61semidirect
1128. #121C23×C61semidirect
1129. #121C23×C61semidirect
1130. #121C23×C61semidirect
1131. #121C23×C61semidirect
1137. #120C23×C61semidirect
1138. #120C23×C61semidirect
1139. #120C23×C61semidirect
1140. #120C23×C61semidirect
1141. #120C23×C61semidirect
1142. #120C23×C61semidirect
1143. #120C23×C61semidirect
1144. #120C23×C61semidirect
1145. #120C23×C61semidirect
1146. #120C23×C61semidirect
1147. #120C23×C61semidirect
1148. #120C23×C61semidirect
1149. #120C23×C61semidirect
1150. #120C23×C61semidirect
1151. #120C23×C61semidirect
1152. #120C23×C61semidirect
1153. #120C23×C61semidirect
1154. #120C23×C61semidirect
1155. #120C23×C61semidirect
1156. #120C23×C61semidirect
1157. #120C23×C61semidirect
1158. #120C23×C61semidirect
1159. C4×Q8C23×C61semidirect
1160. C4×Q8C23×C61semidirect
1165. C4×D4C23×C61semidirect
1166. C4×D4C23×C61semidirect
1167. C4×D4C23×C61semidirect
1168. C4×D4C23×C61semidirect
1169. C4×D4C23×C61semidirect
1170. C4×D4C23×C61semidirect
1171. C4×D4C23×C61semidirect
1172. C4×D4C23×C61semidirect
1173. C4×D4C23×C61semidirect
1174. C4×D4C23×C61semidirect
1175. C4×D4C23×C61semidirect
1176. C4×D4C23×C61semidirect
1177. C4×D4C23×C61semidirect
1178. C4×D4C23×C61semidirect
1179. C4×D4C23×C61semidirect
1180. C4×D4C23×C61semidirect
1181. C4×D4C23×C61semidirect
1182. C4×D4C23×C61semidirect
1183. C4×D4C23×C61semidirect
1184. C4×D4C23×C61semidirect
1185. C4×D4C23×C61semidirect
1186. C4×D4C23×C61semidirect
1187. C4×D4C23×C61semidirect
1188. C4×D4C23×C61semidirect
1189. #117C23×C61semidirect
1190. #117C23×C61semidirect
1191. #117C23×C61semidirect
1192. #117C23×C61semidirect
1193. #117C23×C61semidirect
1194. #117C23×C61semidirect
1195. #117C23×C61semidirect
1196. C2×C4⋊C4C23×C61semidirect
1197. C2×C4⋊C4C23×C61semidirect
1198. C2×C4⋊C4C23×C61semidirect
1199. C2×C4⋊C4C23×C61semidirect
1200. C2×C4⋊C4C23×C61semidirect
1201. C2×C4⋊C4C23×C61semidirect
1202. C2×C4⋊C4C23×C61semidirect
1203. C2×C4⋊C4C23×C61semidirect
1207. C2×C22⋊C4C23×C61semidirect
1208. C2×C22⋊C4C23×C61semidirect
1209. C2×C22⋊C4C23×C61semidirect
1210. C2×C22⋊C4C23×C61semidirect
1211. C2×C22⋊C4C23×C61semidirect
1212. C2×C22⋊C4C23×C61semidirect
1213. C2×C22⋊C4C23×C61semidirect
1214. C2×C22⋊C4C23×C61semidirect
1215. C2×C22⋊C4C23×C61semidirect
1216. C2×C22⋊C4C23×C61semidirect
1217. C2×C22⋊C4C23×C61semidirect
1218. C2×C22⋊C4C23×C61semidirect
1219. C2×C22⋊C4C23×C61semidirect
1220. C2×C22⋊C4C23×C61semidirect
1221. C2×C22⋊C4C23×C61semidirect
1222. C2×C22⋊C4C23×C61semidirect
1223. C2×C22⋊C4C23×C61semidirect
1224. C2×C42C23×C61semidirect
1225. C2×C42C23×C61semidirect
1450. C23H(5,𝔽2)×C61semidirect
1498. D4H(5,𝔽2)×C61semidirect

Maximal subgroups

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

subgroupindex
C61×#35582
C61×#35432
C61×#35422
C61×#35372
C61×#35342
C61×#35322
C61×#35192
C61×#35132
C61×#35052
C61×#34962
C61×#34902
C61×#34882
C61×#34842
C2×C61×#5462
C2×D42×C612
C61×#34592
C2×C61×#5342
#6289261