Finite Group Databasebeta

← C61×#63012 #29566445

Subgroups — C61×#63012 #29566445

Order 15616.

8050 conjugacy classes of subgroups.

The subgroup lattice has 1514 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3558C214yesmaximal, complemented
2C61×#3546C212yesmaximal, complemented
3C61×#3543C211yesmaximal, characteristic, complemented
4C61×#3542C214yesmaximal, complemented
5C61×#3536C214yesmaximal, complemented
6C61×#3534C218yesmaximal, complemented
7C61×#3532C214yesmaximal, complemented
8C61×#3520C212yesmaximal, complemented
9C61×#3519C214yesmaximal, complemented
10C61×#3514C212yesmaximal, complemented
11C61×#3513C214yesmaximal, complemented
12C61×#3508C211yesmaximal, characteristic, complemented
13C61×#3496C212yesmaximal, complemented
14C61×#3490C214yesmaximal, complemented
15C61×#3488C214yesmaximal, complemented
16C61×#3484C214yesmaximal, complemented
17C61×#3481C212yesmaximal, complemented
18D4×#41×C61C212yesmaximal, complemented
19C2×C61×#546C214yesmaximal, complemented
20C2×D42×C61C211yesmaximal, characteristic, complemented
21C2×H(5,𝔽2)×C61C2214yescomplemented
22C22×#41×C61C2214yescomplemented
23C23×D4×C61C2214yescomplemented
24C61×#562C2218yescomplemented
25C61×#562C2218yescomplemented
26C61×H(3,𝔽4)C2214yescomplemented
27C61×#560C2218yescomplemented
28C61×#560C2214yescomplemented
29C61×#560C2214yescomplemented
30C61×#559C2212yescomplemented
31C61×#559C2211yescharacteristic, complemented
32C61×#559C2214yescomplemented
33C61×#556C2212yescomplemented
34C61×#555C2214yescomplemented
35C61×#554C2212yescomplemented
36C61×#554C2214yescomplemented
37C61×#554C2212yescomplemented
38C61×#553C2212yescomplemented
39C61×#553C2214yescomplemented
40C61×#553C2212yescomplemented
41C61×#553C2214yescomplemented
42C61×#553C2218yescomplemented
43C61×#552C2214yescomplemented
44C61×#551C2214yescomplemented
45C61×#551C2218yescomplemented
46C61×#551C2214yescomplemented
47C61×#551C2218yescomplemented
48C61×#551C2218yescomplemented
49C61×#551C2214yescomplemented
50C61×#550C2214yescomplemented
51C61×#550C2212yescomplemented
52C61×#550C2214yescomplemented
53D4×Q8×C61C2212yescomplemented
54C61×#548C2214yescomplemented
55C61×#548C2214yescomplemented
56C61×#548C2214yescomplemented
57C61×#547C2212yescomplemented
58C61×#547C2212yescomplemented
59C61×#547C2214yescomplemented
60C61×#547C2214yescomplemented
61C61×#546C2212yescomplemented
62C61×#546C2214yescomplemented
63C61×#546C2214yescomplemented
64C61×#546C2218yescomplemented
65C61×#546C2214yescomplemented
66C61×#546C2218yescomplemented
67C61×#546C2218yescomplemented
68C61×#546C2214yescomplemented
69C61×#546C2214yescomplemented
70C61×#546C2214yescomplemented
71C61×#546C2214yescomplemented
72C61×#546C2214yescomplemented
73C61×#546C2212yescomplemented
74C61×#546C2218yescomplemented
75C61×#546C2218yescomplemented
76C61×#546C2218yescomplemented
77C61×#546C2218yescomplemented
78C61×#546C2218yescomplemented
79C61×#546C2218yescomplemented
80C61×#546C2214yescomplemented
81C61×#546C2214yescomplemented
82C61×#546C2214yescomplemented
83C61×#546C2214yescomplemented
84C61×#546C2218yescomplemented
85D42×C61C2211yescharacteristic, complemented
86D42×C61C2214yescomplemented
87D42×C61C2211yescharacteristic, complemented
88D42×C61C2214yescomplemented
89D42×C61C2212yescomplemented
90D42×C61C2214yescomplemented
91D42×C61C2212yescomplemented
92D42×C61C2214yescomplemented
93D42×C61C2218yescomplemented
94D42×C61C2214yescomplemented
95D42×C61C2218yescomplemented
96D42×C61C2214yescomplemented
97D42×C61C2214yescomplemented
98D42×C61C2211yescharacteristic, complemented
99C61×#543C2214yescomplemented
100C61×#542C2214yescomplemented
101C61×#542C2214yescomplemented
102C61×#542C2214yescomplemented
103C61×#540C2218yescomplemented
104C61×#540C2214yescomplemented
105C61×#540C2214yescomplemented
106C61×#539C2218yescomplemented
107C61×#539C2218yescomplemented
108C61×#538C2218yescomplemented
109C61×#538C2218yescomplemented
110C61×#538C2218yescomplemented
111C61×#538C2218yescomplemented
112C61×#538C2218yescomplemented
113C61×#538C2218yescomplemented
114C61×#537C2214yescomplemented
115C61×#537C2218yescomplemented
116C61×#537C2214yescomplemented
117C61×#535C2212yescomplemented
118C61×#535C2218yescomplemented
119C61×#535C2214yescomplemented
120C61×#535C2214yescomplemented
121C61×#535C2214yescomplemented
122C61×#534C2214yescomplemented
123C61×#534C2218yescomplemented
124C61×#534C2218yescomplemented
125C61×#534C2218yescomplemented
126C61×#533C2211yescharacteristic, complemented
127C61×#532C2212yescomplemented
128C61×#532C2214yescomplemented
129C61×#532C2212yescomplemented
130C61×#532C2212yescomplemented
131C2×#127×C61C2211yescharacteristic, complemented
132C61×#529C2212yescomplemented
133C61×#529C2214yescomplemented
134C61×#529C2212yescomplemented
135C61×#529C2214yescomplemented
136C2×#124×C61C2214yescomplemented
137C61×#525C2214yescomplemented
138C61×#525C2214yescomplemented
139C61×#525C2214yescomplemented
140C61×#525C2218yescomplemented
141C61×#525C2218yescomplemented
142C61×#525C2214yescomplemented
143C2×#123×C61C2218yescomplemented
144C2×C22⋊Q8×C61C2214yescomplemented
145C2×#121×C61C2214yescomplemented
146C2×#121×C61C2218yescomplemented
147C2×#121×C61C2214yescomplemented
148C2×#121×C61C2214yescomplemented
149C2×#120×C61C2214yescomplemented
150C2×#120×C61C2218yescomplemented
151C2×#120×C61C2214yescomplemented
152C61×#520C2214yescomplemented
153C61×#518C2212yescomplemented
154C61×#518C2214yescomplemented
155C61×#518C2214yescomplemented
156C4×#41×C61C2211yescharacteristic, complemented
157C4×#41×C61C2212yescomplemented
158C2×C4×D4×C61C2212yescomplemented
159C2×C4×D4×C61C2214yescomplemented
160C2×C4×D4×C61C2214yescomplemented
161C2×C4×D4×C61C2212yescomplemented
162C22×C22⋊C4×C61C2214yescomplemented
163C25×C61C2314yes—
164H(5,𝔽2)×C61—416no—
165C2×#41×C61—416no—
166C2×#41×C61C2312yes—
167C2×#41×C61C2314yes—
168C2×#41×C61C2311yescharacteristic
169C2×#41×C61C2314yescomplemented
170C2×#41×C61C2314yescomplemented
171C2×#41×C61C2318yescomplemented
172C2×#41×C61C2314yescomplemented
173C2×#41×C61C2318yescomplemented
174C2×#41×C61C2314yescomplemented
175C2×#41×C61C2314yescomplemented
176C2×#41×C61C2318yescomplemented
177C22×Q8×C61C2314yescomplemented
178C22×D4×C61—416no—
179C22×D4×C61C2314yes—
180C22×D4×C61C2312yes—
181C22×D4×C61C2314yes—
182C22×D4×C61C2312yes—
183C22×D4×C61C2312yes—
184C22×D4×C61C2314yes—
185C22×D4×C61C2318yes—
186C22×D4×C61C2314yes—
187C22×D4×C61C2314yes—
188C22×D4×C61C2318yes—
189C22×D4×C61C2314yes—
190C22×D4×C61C2314yes—
191C22×D4×C61C2318yes—
192C22×D4×C61C2318yescomplemented
193C22×D4×C61C2318yescomplemented
194C22×D4×C61C2318yescomplemented
195C22×D4×C61C2314yescomplemented
196C22×D4×C61C2318yescomplemented
197C23×C4×C61C2314yes—
198C23×C4×C61C2318yescomplemented
199C23×C4×C61C2314yescomplemented
200C4⋊Q8×C61C2312yescomplemented
201C4⋊Q8×C61C2312yescomplemented
202C4⋊Q8×C61C2314yescomplemented
203#127×C61C2311yescharacteristic
204#127×C61C2311yescharacteristic
205#127×C61C2314yes—
206#127×C61C2312yes—
207#127×C61C2312yes—
208#127×C61C2314yescomplemented
209#127×C61C2314yescomplemented
210#127×C61C2318yescomplemented
211#126×C61C2318yescomplemented
212#126×C61C2318yescomplemented
213#126×C61C2318yescomplemented
214#126×C61C2314yescomplemented
215#126×C61C2314yescomplemented
216#126×C61C2314yescomplemented
217#126×C61C2318yescomplemented
218#126×C61C2314yescomplemented
219#125×C61C2312yescomplemented
220#125×C61C2318yescomplemented
221#125×C61C2314yescomplemented
222#125×C61C2312yescomplemented
223#125×C61C2312yescomplemented
224#124×C61C2314yes—
225#124×C61C2312yes—
226#124×C61C2314yescomplemented
227#124×C61C2314yescomplemented
228#124×C61C2318yescomplemented
229#124×C61C2314yescomplemented
230#124×C61C2312yescomplemented
231#124×C61C2318yescomplemented
232#124×C61C2314yescomplemented
233#124×C61C2318yescomplemented
234#124×C61C2318yescomplemented
235#124×C61C2314yescomplemented
236#124×C61C2318yescomplemented
237#124×C61C2314yescomplemented
238#124×C61C2318yescomplemented
239#123×C61C2314yes—
240#123×C61C2318yes—
241#123×C61C2314yes—
242#123×C61C2318yescomplemented
243#123×C61C2314yescomplemented
244#123×C61C2314yescomplemented
245#123×C61C2318yescomplemented
246#123×C61C2314yescomplemented
247#123×C61C2318yescomplemented
248#123×C61C2318yescomplemented
249#123×C61C2318yescomplemented
250#123×C61C2318yescomplemented
251#123×C61C2318yescomplemented
252#123×C61C2318yescomplemented
253#123×C61C2314yescomplemented
254#123×C61C2314yescomplemented
255#123×C61C2314yescomplemented
256#123×C61C2318yescomplemented
257#123×C61C2318yescomplemented
258#123×C61C2318yescomplemented
259#123×C61C2318yescomplemented
260#123×C61C2318yescomplemented
261#123×C61C2314yescomplemented
262#123×C61C2318yescomplemented
263#123×C61C2314yescomplemented
264C22⋊Q8×C61C2314yes—
265C22⋊Q8×C61C2318yes—
266C22⋊Q8×C61C2314yes—
267C22⋊Q8×C61C2312yes—
268C22⋊Q8×C61C2318yescomplemented
269C22⋊Q8×C61C2312yescomplemented
270C22⋊Q8×C61C2314yescomplemented
271C22⋊Q8×C61C2318yescomplemented
272C22⋊Q8×C61C2318yescomplemented
273C22⋊Q8×C61C2318yescomplemented
274C22⋊Q8×C61C2314yescomplemented
275C22⋊Q8×C61C2314yescomplemented
276C22⋊Q8×C61C2314yescomplemented
277C22⋊Q8×C61C2314yescomplemented
278C22⋊Q8×C61C2318yescomplemented
279C22⋊Q8×C61C2318yescomplemented
280C22⋊Q8×C61C2314yescomplemented
281C22⋊Q8×C61C2318yescomplemented
282C22⋊Q8×C61C2314yescomplemented
283C22⋊Q8×C61C2314yescomplemented
284#121×C61C2314yes—
285#121×C61C2312yes—
286#121×C61C2314yes—
287#121×C61C2318yes—
288#121×C61C2312yes—
289#121×C61C2314yes—
290#121×C61C2318yes—
291#121×C61C2314yes—
292#121×C61C2314yes—
293#121×C61C2314yes—
294#121×C61C2318yes—
295#121×C61C2312yes—
296#121×C61C2314yes—
297#121×C61C2314yes—
298#121×C61C2314yescomplemented
299#121×C61C2314yescomplemented
300#121×C61C2318yescomplemented
301#121×C61C2314yescomplemented
302#121×C61C2314yescomplemented
303#121×C61C2314yescomplemented
304#121×C61C2314yescomplemented
305#121×C61C2312yescomplemented
306#121×C61C2318yescomplemented
307#121×C61C2318yescomplemented
308#121×C61C2318yescomplemented
309#121×C61C2318yescomplemented
310#121×C61C2318yescomplemented
311#121×C61C2318yescomplemented
312#121×C61C2318yescomplemented
313#121×C61C2318yescomplemented
314#121×C61C2318yescomplemented
315#121×C61C2314yescomplemented
316#121×C61C2318yescomplemented
317#121×C61C2318yescomplemented
318#121×C61C2318yescomplemented
319#121×C61C2318yescomplemented
320#121×C61C2314yescomplemented
321#121×C61C2318yescomplemented
322#121×C61C2314yescomplemented
323#121×C61C2318yescomplemented
324#121×C61C2314yescomplemented
325#121×C61C2318yescomplemented
326#121×C61C2318yescomplemented
327#121×C61C2318yescomplemented
328#121×C61C2318yescomplemented
329#120×C61C2314yes—
330#120×C61C2318yes—
331#120×C61C2318yes—
332#120×C61C2318yes—
333#120×C61C2318yes—
334#120×C61C2314yes—
335#120×C61C2314yes—
336#120×C61C2314yes—
337#120×C61C2314yes—
338#120×C61C2314yes—
339#120×C61C2318yes—
340#120×C61C2314yes—
341#120×C61C2314yescomplemented
342#120×C61C2318yescomplemented
343#120×C61C2318yescomplemented
344#120×C61C2314yescomplemented
345#120×C61C2318yescomplemented
346#120×C61C2318yescomplemented
347#120×C61C2318yescomplemented
348#120×C61C2318yescomplemented
349#120×C61C2318yescomplemented
350#120×C61C2314yescomplemented
351#120×C61C2318yescomplemented
352#120×C61C2318yescomplemented
353C4×Q8×C61C2314yescomplemented
354C4×Q8×C61C2312yescomplemented
355C4×Q8×C61C2314yescomplemented
356C4×Q8×C61C2312yescomplemented
357C4×Q8×C61C2312yescomplemented
358C4×D4×C61C2312yes—
359C4×D4×C61C2314yes—
360C4×D4×C61C2318yes—
361C4×D4×C61C2314yes—
362C4×D4×C61C2312yes—
363C4×D4×C61C2312yes—
364C4×D4×C61C2312yes—
365C4×D4×C61C2314yes—
366C4×D4×C61C2314yes—
367C4×D4×C61C2314yes—
368C4×D4×C61C2312yes—
369C4×D4×C61C2312yes—
370C4×D4×C61C2312yes—
371C4×D4×C61C2312yes—
372C4×D4×C61C2314yes—
373C4×D4×C61C2314yescomplemented
374C4×D4×C61C2312yescomplemented
375C4×D4×C61C2314yescomplemented
376C4×D4×C61C2318yescomplemented
377C4×D4×C61C2314yescomplemented
378C4×D4×C61C2314yescomplemented
379C4×D4×C61C2312yescomplemented
380C4×D4×C61C2314yescomplemented
381C4×D4×C61C2314yescomplemented
382C4×D4×C61C2314yescomplemented
383C4×D4×C61C2318yescomplemented
384C4×D4×C61C2318yescomplemented
385C4×D4×C61C2318yescomplemented
386C4×D4×C61C2318yescomplemented
387C4×D4×C61C2318yescomplemented
388C4×D4×C61C2318yescomplemented
389C4×D4×C61C2318yescomplemented
390C4×D4×C61C2314yescomplemented
391C4×D4×C61C2314yescomplemented
392C4×D4×C61C2314yescomplemented
393C4×D4×C61C2314yescomplemented
394C4×D4×C61C2314yescomplemented
395C4×D4×C61C2314yescomplemented
396C4×D4×C61C2314yescomplemented
397C4×D4×C61C2318yescomplemented
398C4×D4×C61C2312yescomplemented
399#117×C61C2312yes—
400#117×C61C2311yescharacteristic
401#117×C61C2314yescomplemented
402#117×C61C2314yescomplemented
403#117×C61C2318yescomplemented
404#117×C61C2314yescomplemented
405#117×C61C2312yescomplemented
406#117×C61C2318yescomplemented
407#117×C61C2314yescomplemented
408#117×C61C2312yescomplemented
409C2×C4⋊C4×C61C2312yes—
410C2×C4⋊C4×C61C2312yescomplemented
411C2×C4⋊C4×C61C2318yescomplemented
412C2×C4⋊C4×C61C2314yescomplemented
413C2×C4⋊C4×C61C2314yescomplemented
414C2×C4⋊C4×C61C2314yescomplemented
415C2×C22⋊C4×C61C2314yes—
416C2×C22⋊C4×C61C2314yes—
417C2×C22⋊C4×C61C2314yes—
418C2×C22⋊C4×C61C2314yes—
419C2×C22⋊C4×C61C2314yes—
420C2×C22⋊C4×C61C2318yes—
421C2×C22⋊C4×C61C2314yes—
422C2×C22⋊C4×C61C2314yescomplemented
423C2×C22⋊C4×C61C2318yescomplemented
424C2×C22⋊C4×C61C2318yescomplemented
425C2×C22⋊C4×C61C2318yescomplemented
426C2×C22⋊C4×C61C2318yescomplemented
427C2×C22⋊C4×C61C2318yescomplemented
428C2×C22⋊C4×C61C2318yescomplemented
429C2×C22⋊C4×C61C2318yescomplemented
430C2×C22⋊C4×C61C2314yescomplemented
431C2×C42×C61C2311yescharacteristic
432C2×C42×C61C2312yescomplemented
433C2×C42×C61C2314yescomplemented
434C24×C61—416no—
435C24×C61—48no—
436C24×C61C2414yes—
437C24×C61C2414yes—
438C24×C61C2414yes—
439C24×C61C2418yes—
440C24×C61C2414yes—
441C24×C61C2414yes—
442C24×C61C2414yes—
443#41×C61—28no—
444#41×C61—216no—
445#41×C61—48no—
446#41×C61—416no—
447#41×C61—416no—
448#41×C61—42no—
449#41×C61—416no—
450#41×C61—48no—
451#41×C61—48no—
452#41×C61—48no—
453#41×C61—48no—
454C2×Q8×C61—48no—
455C2×Q8×C61C2412yes—
456C2×Q8×C61C2414yes—
457C2×Q8×C61C2411yescharacteristic
458C2×Q8×C61C2414yes—
459C2×Q8×C61C2418yes—
460C2×D4×C61—28no—
461C2×D4×C61—216no—
462C2×D4×C61—216no—
463C2×D4×C61—28no—
464C2×D4×C61—48no—
465C2×D4×C61—48no—
466C2×D4×C61—48no—
467C2×D4×C61—48no—
468C2×D4×C61—44no—
469C2×D4×C61—416no—
470C2×D4×C61—416no—
471C2×D4×C61—416no—
472C2×D4×C61—416no—
473C2×D4×C61—48no—
474C2×D4×C61—48no—
475C2×D4×C61—416no—
476C2×D4×C61—416no—
477C2×D4×C61—416no—
478C2×D4×C61C2412yes—
479C2×D4×C61C2414yes—
480C2×D4×C61C2414yes—
481C2×D4×C61C2412yes—
482C2×D4×C61C2418yes—
483C2×D4×C61C2418yes—
484C2×D4×C61C2414yes—
485C2×D4×C61C2414yes—
486C2×D4×C61C2418yes—
487C2×D4×C61C2414yes—
488C2×D4×C61C2414yes—
489C2×D4×C61C2412yes—
490C2×D4×C61C2412yes—
491C2×D4×C61C2414yes—
492C2×D4×C61C2412yes—
493C2×D4×C61C2414yes—
494C2×D4×C61C2414yes—
495C2×D4×C61C2418yes—
496C2×D4×C61C2411yescharacteristic
497C2×D4×C61C2414yes—
498C2×D4×C61C2418yes—
499C2×D4×C61C2418yes—
500C2×D4×C61C2418yes—
501C2×D4×C61C2418yes—
502C2×D4×C61C2414yes—
503C2×D4×C61C2418yes—
504C2×D4×C61C2418yes—
505C2×D4×C61C2418yes—
506C2×D4×C61C2418yes—
507C2×D4×C61C2414yes—
508C2×D4×C61C2412yes—
509C22×C4×C61—48no—
510C22×C4×C61—48no—
511C22×C4×C61—416no—
512C22×C4×C61C2411yescharacteristic
513C22×C4×C61C2412yes—
514C22×C4×C61C2414yes—
515C22×C4×C61C2414yes—
516C22×C4×C61C2412yes—
517C22×C4×C61C2412yes—
518C22×C4×C61C2418yes—
519C22×C4×C61C2414yes—
520C22×C4×C61C2414yes—
521C22×C4×C61C2414yes—
522C22×C4×C61C2412yes—
523C22×C4×C61C2414yes—
524C22×C4×C61C2414yes—
525C22×C4×C61C2418yes—
526C22×C4×C61C2418yes—
527C22×C4×C61C2418yes—
528C22×C4×C61C2418yes—
529C22×C4×C61C2414yes—
530C22×C4×C61C2414yes—
531C22×C4×C61C2414yes—
532C22×C4×C61C2418yes—
533C22×C4×C61C2414yes—
534C22×C4×C61C2414yes—
535C4⋊C4×C61C2412yes—
536C4⋊C4×C61C2412yes—
537C4⋊C4×C61C2414yes—
538C4⋊C4×C61C2412yes—
539C4⋊C4×C61C2414yes—
540C4⋊C4×C61C2412yes—
541C4⋊C4×C61C2414yes—
542C4⋊C4×C61C2418yes—
543C4⋊C4×C61C2414yes—
544C4⋊C4×C61C2414yes—
545C4⋊C4×C61C2414yes—
546C4⋊C4×C61C2414yes—
547C4⋊C4×C61C2418yes—
548C4⋊C4×C61C2418yes—
549C4⋊C4×C61C2418yes—
550C4⋊C4×C61C2412yes—
551C4⋊C4×C61C2414yes—
552C4⋊C4×C61C2412yes—
553C4⋊C4×C61C2414yes—
554C4⋊C4×C61C2418yes—
555C4⋊C4×C61C2412yes—
556C4⋊C4×C61C2414yes—
557C4⋊C4×C61C2414yes—
558C4⋊C4×C61C2414yes—
559C4⋊C4×C61C2414yes—
560C22⋊C4×C61C2411yescharacteristic
561C22⋊C4×C61C2414yes—
562C22⋊C4×C61C2411yescharacteristic
563C22⋊C4×C61C2414yes—
564C22⋊C4×C61C2414yes—
565C22⋊C4×C61C2414yes—
566C22⋊C4×C61C2418yes—
567C22⋊C4×C61C2418yes—
568C22⋊C4×C61C2418yes—
569C22⋊C4×C61C2414yes—
570C22⋊C4×C61C2414yes—
571C22⋊C4×C61C2414yes—
572C22⋊C4×C61C2418yes—
573C22⋊C4×C61C2414yes—
574C22⋊C4×C61C2414yes—
575C22⋊C4×C61C2414yes—
576C22⋊C4×C61C2414yes—
577C22⋊C4×C61C2414yes—
578C22⋊C4×C61C2418yes—
579C22⋊C4×C61C2414yes—
580C22⋊C4×C61C2414yes—
581C22⋊C4×C61C2414yes—
582C22⋊C4×C61C2418yes—
583C22⋊C4×C61C2412yes—
584C22⋊C4×C61C2414yes—
585C22⋊C4×C61C2418yes—
586C22⋊C4×C61C2414yes—
587C22⋊C4×C61C2414yes—
588C22⋊C4×C61C2418yes—
589C22⋊C4×C61C2414yes—
590C22⋊C4×C61C2418yes—
591C22⋊C4×C61C2418yes—
592C22⋊C4×C61C2418yes—
593C22⋊C4×C61C2418yes—
594C22⋊C4×C61C2414yes—
595C22⋊C4×C61C2414yes—
596C22⋊C4×C61C2412yes—
597C22⋊C4×C61C2414yes—
598C22⋊C4×C61C2414yes—
599C22⋊C4×C61C2414yes—
600C42×C61C2411yescharacteristic
601C42×C61C2412yes—
602C42×C61C2411yescharacteristic
603C42×C61C2412yes—
604C42×C61C2412yes—
605C42×C61C2414yes—
606C42×C61C2414yes—
607C42×C61C2412yes—
608C42×C61C2414yes—
609C42×C61C2414yes—
610C42×C61C2418yes—
611C23×C61—216no—
612C23×C61—28no—
613C23×C61—28no—
614C23×C61—28no—
615C23×C61—216no—
616C23×C61—28no—
617C23×C61—44no—
618C23×C61—44no—
619C23×C61—44no—
620C23×C61—48no—
621C23×C61—48no—
622C23×C61—48no—
623C23×C61—44no—
624C23×C61—48no—
625C23×C61—44no—
626C23×C61—48no—
627C23×C61—44no—
628C23×C61—832no—
629C23×C61C2514yes—
630C23×C61C2514yes—
631C23×C61C2514yes—
632C23×C61C2514yes—
633C23×C61C2512yes—
634C23×C61C2514yes—
635C23×C61C2511yescharacteristic
636Q8×C61—24no—
637Q8×C61—28no—
638Q8×C61—48no—
639Q8×C61—41no—
640Q8×C61—44no—
641D4×C61—28no—
642D4×C61—216no—
643D4×C61—216no—
644D4×C61—28no—
645D4×C61—216no—
646D4×C61—28no—
647D4×C61—28no—
648D4×C61—24no—
649D4×C61—24no—
650D4×C61—28no—
651D4×C61—28no—
652D4×C61—24no—
653D4×C61—48no—
654D4×C61—48no—
655D4×C61—48no—
656D4×C61—44no—
657D4×C61—48no—
658D4×C61—44no—
659D4×C61—44no—
660D4×C61—48no—
661D4×C61—48no—
662D4×C61—42no—
663D4×C61—42no—
664D4×C61—44no—
665D4×C61—44no—
666D4×C61—48no—
667D4×C61—44no—
668D4×C61—48no—
669D4×C61—48no—
670D4×C61—41no—
671D4×C61H(5,𝔽2)18yescomplemented
672C2×C4×C61—28no—
673C2×C4×C61—216no—
674C2×C4×C61—22no—
675C2×C4×C61—24no—
676C2×C4×C61—28no—
677C2×C4×C61—24no—
678C2×C4×C61—28no—
679C2×C4×C61—28no—
680C2×C4×C61—24no—
681C2×C4×C61—44no—
682C2×C4×C61—44no—
683C2×C4×C61—44no—
684C2×C4×C61—44no—
685C2×C4×C61—48no—
686C2×C4×C61—44no—
687C2×C4×C61—48no—
688C2×C4×C61—44no—
689C2×C4×C61—48no—
690C2×C4×C61—44no—
691C2×C4×C61—44no—
692C2×C4×C61—48no—
693C2×C4×C61—48no—
694C2×C4×C61—42no—
695C2×C4×C61C2511yescharacteristic
696C2×C4×C61C2512yes—
697C2×C4×C61C2511yescharacteristic
698C2×C4×C61C2514yes—
699C2×C4×C61C2512yes—
700C2×C4×C61C2514yes—
701C2×C4×C61C2512yes—
702C2×C4×C61C2514yes—
703C2×C4×C61C2518yes—
704C2×C4×C61C2514yes—
705C2×C4×C61C2512yes—
706C2×C4×C61C2514yes—
707C2×C4×C61C2512yes—
708#63012C6111yesmaximal, characteristic, direct product factor, Sylow
709C22×C61—24no—
710C22×C61—22no—
711C22×C61—24no—
712C22×C61—22no—
713C22×C61—24no—
714C22×C61—24no—
715C22×C61—22no—
716C22×C61—28no—
717C22×C61—24no—
718C22×C61—28no—
719C22×C61—24no—
720C22×C61—22no—
721C22×C61—24no—
722C22×C61—24no—
723C22×C61—24no—
724C22×C61—24no—
725C22×C61—416no—
726C22×C61—416no—
727C22×C61—88no—
728C22×C61—88no—
729C22×C61—816no—
730C22×C61—88no—
731C22×C61—164no—
732C22×C61C2×H(5,𝔽2)18yes—
733C22×C61#58512yes—
734C22×C61C2611yescharacteristic
735C4×C61—22no—
736C4×C61—24no—
737C4×C61—22no—
738C4×C61—24no—
739C4×C61—24no—
740C4×C61—22no—
741C4×C61—28no—
742C4×C61—24no—
743C4×C61—21no—
744C4×C61—21no—
745C4×C61—24no—
746C4×C61—22no—
747C4×C61C2×H(5,𝔽2)14yes—
748#3558C2×C6114yescomplemented
749#3546C2×C6112yescomplemented
750#3543C2×C6111yescharacteristic, complemented
751#3542C2×C6114yescomplemented
752#3536C2×C6114yescomplemented
753#3534C2×C6118yescomplemented
754#3532C2×C6114yescomplemented
755#3520C2×C6112yescomplemented
756#3519C2×C6114yescomplemented
757#3514C2×C6112yescomplemented
758#3513C2×C6114yescomplemented
759#3508C2×C6111yescharacteristic, complemented
760#3496C2×C6112yescomplemented
761#3490C2×C6114yescomplemented
762#3488C2×C6114yescomplemented
763#3484C2×C6114yescomplemented
764#3481C2×C6112yescomplemented
765D4×#41C2×C6112yescomplemented
766C2×#546C2×C6114yescomplemented
767C2×D42C2×C6111yescharacteristic, complemented
768C2×C61—22no—
769C2×C61—28no—
770C2×C61—44no—
771C2×C61—44no—
772C2×C61—42no—
773C2×C61—44no—
774C2×C61—44no—
775C2×C61C22×H(5,𝔽2)12yes—
776C2×C61C2×#58511yescharacteristic
777C2×H(5,𝔽2)C22×C6114yescomplemented
778C22×#41C22×C6114yescomplemented
779C23×D4C22×C6114yescomplemented
780#562C22×C6118yescomplemented
781#562C22×C6118yescomplemented
782H(3,𝔽4)C22×C6114yescomplemented
783#560C22×C6118yescomplemented
784#560C22×C6114yescomplemented
785#560C22×C6114yescomplemented
786#559C22×C6112yescomplemented
787#559C22×C6114yescomplemented
788#559C22×C6111yescharacteristic, complemented
789#556C22×C6112yescomplemented
790#555C22×C6114yescomplemented
791#554C22×C6112yescomplemented
792#554C22×C6114yescomplemented
793#554C22×C6112yescomplemented
794#553C22×C6112yescomplemented
795#553C22×C6114yescomplemented
796#553C22×C6112yescomplemented
797#553C22×C6118yescomplemented
798#553C22×C6114yescomplemented
799#552C22×C6114yescomplemented
800#551C22×C6114yescomplemented
801#551C22×C6118yescomplemented
802#551C22×C6114yescomplemented
803#551C22×C6118yescomplemented
804#551C22×C6118yescomplemented
805#551C22×C6114yescomplemented
806#550C22×C6114yescomplemented
807#550C22×C6112yescomplemented
808#550C22×C6114yescomplemented
809D4×Q8C22×C6112yescomplemented
810#548C22×C6114yescomplemented
811#548C22×C6114yescomplemented
812#548C22×C6114yescomplemented
813#547C22×C6112yescomplemented
814#547C22×C6112yescomplemented
815#547C22×C6114yescomplemented
816#547C22×C6114yescomplemented
817#546C22×C6112yescomplemented
818#546C22×C6114yescomplemented
819#546C22×C6118yescomplemented
820#546C22×C6114yescomplemented
821#546C22×C6118yescomplemented
822#546C22×C6114yescomplemented
823#546C22×C6118yescomplemented
824#546C22×C6114yescomplemented
825#546C22×C6114yescomplemented
826#546C22×C6114yescomplemented
827#546C22×C6114yescomplemented
828#546C22×C6114yescomplemented
829#546C22×C6112yescomplemented
830#546C22×C6118yescomplemented
831#546C22×C6118yescomplemented
832#546C22×C6118yescomplemented
833#546C22×C6118yescomplemented
834#546C22×C6118yescomplemented
835#546C22×C6118yescomplemented
836#546C22×C6114yescomplemented
837#546C22×C6114yescomplemented
838#546C22×C6114yescomplemented
839#546C22×C6118yescomplemented
840#546C22×C6114yescomplemented
841D42C22×C6111yescharacteristic, complemented
842D42C22×C6114yescomplemented
843D42C22×C6112yescomplemented
844D42C22×C6114yescomplemented
845D42C22×C6114yescomplemented
846D42C22×C6111yescharacteristic, complemented
847D42C22×C6112yescomplemented
848D42C22×C6118yescomplemented
849D42C22×C6114yescomplemented
850D42C22×C6114yescomplemented
851D42C22×C6118yescomplemented
852D42C22×C6114yescomplemented
853D42C22×C6114yescomplemented
854D42C22×C6111yescharacteristic, complemented
855#543C22×C6114yescomplemented
856#542C22×C6114yescomplemented
857#542C22×C6114yescomplemented
858#542C22×C6114yescomplemented
859#540C22×C6118yescomplemented
860#540C22×C6114yescomplemented
861#540C22×C6114yescomplemented
862#539C22×C6118yescomplemented
863#539C22×C6118yescomplemented
864#538C22×C6118yescomplemented
865#538C22×C6118yescomplemented
866#538C22×C6118yescomplemented
867#538C22×C6118yescomplemented
868#538C22×C6118yescomplemented
869#538C22×C6118yescomplemented
870#537C22×C6118yescomplemented
871#537C22×C6114yescomplemented
872#537C22×C6114yescomplemented
873#535C22×C6112yescomplemented
874#535C22×C6118yescomplemented
875#535C22×C6114yescomplemented
876#535C22×C6114yescomplemented
877#535C22×C6114yescomplemented
878#534C22×C6114yescomplemented
879#534C22×C6118yescomplemented
880#534C22×C6118yescomplemented
881#534C22×C6118yescomplemented
882#533C22×C6111yescharacteristic, complemented
883#532C22×C6112yescomplemented
884#532C22×C6114yescomplemented
885#532C22×C6112yescomplemented
886#532C22×C6112yescomplemented
887C2×#127C22×C6111yescharacteristic, complemented
888#529C22×C6112yescomplemented
889#529C22×C6114yescomplemented
890#529C22×C6112yescomplemented
891#529C22×C6114yescomplemented
892C2×#124C22×C6114yescomplemented
893#525C22×C6114yescomplemented
894#525C22×C6114yescomplemented
895#525C22×C6114yescomplemented
896#525C22×C6118yescomplemented
897#525C22×C6118yescomplemented
898#525C22×C6114yescomplemented
899C2×#123C22×C6118yescomplemented
900C2×C22⋊Q8C22×C6114yescomplemented
901C2×#121C22×C6114yescomplemented
902C2×#121C22×C6118yescomplemented
903C2×#121C22×C6114yescomplemented
904C2×#121C22×C6114yescomplemented
905C2×#120C22×C6114yescomplemented
906C2×#120C22×C6118yescomplemented
907C2×#120C22×C6114yescomplemented
908#520C22×C6114yescomplemented
909#518C22×C6112yescomplemented
910#518C22×C6114yescomplemented
911#518C22×C6114yescomplemented
912C4×#41C22×C6111yescharacteristic, complemented
913C4×#41C22×C6112yescomplemented
914C2×C4×D4C22×C6112yescomplemented
915C2×C4×D4C22×C6114yescomplemented
916C2×C4×D4C22×C6114yescomplemented
917C2×C4×D4C22×C6112yescomplemented
918C22×C22⋊C4C22×C6114yescomplemented
919C61#6301211yescharacteristic, direct product factor, Sylow
920C25C23×C6114yes—
921H(5,𝔽2)—416no—
922C2×#41—416no—
923C2×#41C23×C6112yes—
924C2×#41C23×C6114yes—
925C2×#41C23×C6111yescharacteristic
926C2×#41C23×C6114yescomplemented
927C2×#41C23×C6118yescomplemented
928C2×#41C23×C6114yescomplemented
929C2×#41C23×C6114yescomplemented
930C2×#41C23×C6118yescomplemented
931C2×#41C23×C6114yescomplemented
932C2×#41C23×C6118yescomplemented
933C2×#41C23×C6114yescomplemented
934C22×Q8C23×C6114yescomplemented
935C22×D4—416no—
936C22×D4C23×C6114yes—
937C22×D4C23×C6112yes—
938C22×D4C23×C6112yes—
939C22×D4C23×C6114yes—
940C22×D4C23×C6114yes—
941C22×D4C23×C6112yes—
942C22×D4C23×C6114yes—
943C22×D4C23×C6118yes—
944C22×D4C23×C6118yes—
945C22×D4C23×C6114yes—
946C22×D4C23×C6114yes—
947C22×D4C23×C6118yes—
948C22×D4C23×C6114yes—
949C22×D4C23×C6118yescomplemented
950C22×D4C23×C6118yescomplemented
951C22×D4C23×C6118yescomplemented
952C22×D4C23×C6118yescomplemented
953C22×D4C23×C6114yescomplemented
954C23×C4C23×C6114yes—
955C23×C4C23×C6118yescomplemented
956C23×C4C23×C6114yescomplemented
957C4⋊Q8C23×C6112yescomplemented
958C4⋊Q8C23×C6112yescomplemented
959C4⋊Q8C23×C6114yescomplemented
960#127C23×C6111yescharacteristic
961#127C23×C6111yescharacteristic
962#127C23×C6114yes—
963#127C23×C6112yes—
964#127C23×C6112yes—
965#127C23×C6114yescomplemented
966#127C23×C6114yescomplemented
967#127C23×C6118yescomplemented
968#126C23×C6118yescomplemented
969#126C23×C6114yescomplemented
970#126C23×C6114yescomplemented
971#126C23×C6114yescomplemented
972#126C23×C6114yescomplemented
973#126C23×C6118yescomplemented
974#126C23×C6118yescomplemented
975#126C23×C6118yescomplemented
976#125C23×C6112yescomplemented
977#125C23×C6114yescomplemented
978#125C23×C6112yescomplemented
979#125C23×C6112yescomplemented
980#125C23×C6118yescomplemented
981#124C23×C6112yes—
982#124C23×C6114yes—
983#124C23×C6114yescomplemented
984#124C23×C6114yescomplemented
985#124C23×C6118yescomplemented
986#124C23×C6118yescomplemented
987#124C23×C6112yescomplemented
988#124C23×C6114yescomplemented
989#124C23×C6114yescomplemented
990#124C23×C6114yescomplemented
991#124C23×C6118yescomplemented
992#124C23×C6118yescomplemented
993#124C23×C6114yescomplemented
994#124C23×C6118yescomplemented
995#124C23×C6118yescomplemented
996#123C23×C6114yes—
997#123C23×C6118yes—
998#123C23×C6114yes—
999#123C23×C6118yescomplemented
1000#123C23×C6118yescomplemented
1001#123C23×C6118yescomplemented
1002#123C23×C6118yescomplemented
1003#123C23×C6118yescomplemented
1004#123C23×C6118yescomplemented
1005#123C23×C6114yescomplemented
1006#123C23×C6118yescomplemented
1007#123C23×C6114yescomplemented
1008#123C23×C6114yescomplemented
1009#123C23×C6118yescomplemented
1010#123C23×C6118yescomplemented
1011#123C23×C6114yescomplemented
1012#123C23×C6118yescomplemented
1013#123C23×C6114yescomplemented
1014#123C23×C6114yescomplemented
1015#123C23×C6118yescomplemented
1016#123C23×C6114yescomplemented
1017#123C23×C6118yescomplemented
1018#123C23×C6118yescomplemented
1019#123C23×C6118yescomplemented
1020#123C23×C6114yescomplemented
1021C22⋊Q8C23×C6112yes—
1022C22⋊Q8C23×C6114yes—
1023C22⋊Q8C23×C6118yes—
1024C22⋊Q8C23×C6114yes—
1025C22⋊Q8C23×C6114yescomplemented
1026C22⋊Q8C23×C6114yescomplemented
1027C22⋊Q8C23×C6118yescomplemented
1028C22⋊Q8C23×C6114yescomplemented
1029C22⋊Q8C23×C6114yescomplemented
1030C22⋊Q8C23×C6118yescomplemented
1031C22⋊Q8C23×C6114yescomplemented
1032C22⋊Q8C23×C6114yescomplemented
1033C22⋊Q8C23×C6118yescomplemented
1034C22⋊Q8C23×C6118yescomplemented
1035C22⋊Q8C23×C6114yescomplemented
1036C22⋊Q8C23×C6112yescomplemented
1037C22⋊Q8C23×C6114yescomplemented
1038C22⋊Q8C23×C6118yescomplemented
1039C22⋊Q8C23×C6118yescomplemented
1040C22⋊Q8C23×C6118yescomplemented
1041#121C23×C6114yes—
1042#121C23×C6114yes—
1043#121C23×C6112yes—
1044#121C23×C6114yes—
1045#121C23×C6118yes—
1046#121C23×C6114yes—
1047#121C23×C6118yes—
1048#121C23×C6114yes—
1049#121C23×C6114yes—
1050#121C23×C6118yes—
1051#121C23×C6112yes—
1052#121C23×C6114yes—
1053#121C23×C6114yes—
1054#121C23×C6112yes—
1055#121C23×C6118yescomplemented
1056#121C23×C6114yescomplemented
1057#121C23×C6112yescomplemented
1058#121C23×C6114yescomplemented
1059#121C23×C6118yescomplemented
1060#121C23×C6118yescomplemented
1061#121C23×C6118yescomplemented
1062#121C23×C6118yescomplemented
1063#121C23×C6118yescomplemented
1064#121C23×C6114yescomplemented
1065#121C23×C6118yescomplemented
1066#121C23×C6118yescomplemented
1067#121C23×C6118yescomplemented
1068#121C23×C6118yescomplemented
1069#121C23×C6118yescomplemented
1070#121C23×C6118yescomplemented
1071#121C23×C6114yescomplemented
1072#121C23×C6114yescomplemented
1073#121C23×C6114yescomplemented
1074#121C23×C6114yescomplemented
1075#121C23×C6114yescomplemented
1076#121C23×C6118yescomplemented
1077#121C23×C6114yescomplemented
1078#121C23×C6114yescomplemented
1079#121C23×C6118yescomplemented
1080#121C23×C6118yescomplemented
1081#121C23×C6118yescomplemented
1082#121C23×C6118yescomplemented
1083#121C23×C6118yescomplemented
1084#121C23×C6118yescomplemented
1085#121C23×C6118yescomplemented
1086#120C23×C6114yes—
1087#120C23×C6118yes—
1088#120C23×C6114yes—
1089#120C23×C6114yes—
1090#120C23×C6114yes—
1091#120C23×C6118yes—
1092#120C23×C6118yes—
1093#120C23×C6118yes—
1094#120C23×C6118yes—
1095#120C23×C6114yes—
1096#120C23×C6114yes—
1097#120C23×C6114yes—
1098#120C23×C6118yescomplemented
1099#120C23×C6118yescomplemented
1100#120C23×C6118yescomplemented
1101#120C23×C6118yescomplemented
1102#120C23×C6118yescomplemented
1103#120C23×C6118yescomplemented
1104#120C23×C6118yescomplemented
1105#120C23×C6114yescomplemented
1106#120C23×C6114yescomplemented
1107#120C23×C6118yescomplemented
1108#120C23×C6114yescomplemented
1109#120C23×C6118yescomplemented
1110C4×Q8C23×C6112yescomplemented
1111C4×Q8C23×C6112yescomplemented
1112C4×Q8C23×C6112yescomplemented
1113C4×Q8C23×C6114yescomplemented
1114C4×Q8C23×C6114yescomplemented
1115C4×D4C23×C6112yes—
1116C4×D4C23×C6112yes—
1117C4×D4C23×C6112yes—
1118C4×D4C23×C6114yes—
1119C4×D4C23×C6114yes—
1120C4×D4C23×C6112yes—
1121C4×D4C23×C6114yes—
1122C4×D4C23×C6114yes—
1123C4×D4C23×C6112yes—
1124C4×D4C23×C6114yes—
1125C4×D4C23×C6114yes—
1126C4×D4C23×C6112yes—
1127C4×D4C23×C6112yes—
1128C4×D4C23×C6112yes—
1129C4×D4C23×C6118yes—
1130C4×D4C23×C6114yescomplemented
1131C4×D4C23×C6118yescomplemented
1132C4×D4C23×C6114yescomplemented
1133C4×D4C23×C6114yescomplemented
1134C4×D4C23×C6112yescomplemented
1135C4×D4C23×C6114yescomplemented
1136C4×D4C23×C6114yescomplemented
1137C4×D4C23×C6112yescomplemented
1138C4×D4C23×C6114yescomplemented
1139C4×D4C23×C6118yescomplemented
1140C4×D4C23×C6114yescomplemented
1141C4×D4C23×C6114yescomplemented
1142C4×D4C23×C6114yescomplemented
1143C4×D4C23×C6112yescomplemented
1144C4×D4C23×C6114yescomplemented
1145C4×D4C23×C6114yescomplemented
1146C4×D4C23×C6118yescomplemented
1147C4×D4C23×C6118yescomplemented
1148C4×D4C23×C6118yescomplemented
1149C4×D4C23×C6118yescomplemented
1150C4×D4C23×C6118yescomplemented
1151C4×D4C23×C6114yescomplemented
1152C4×D4C23×C6114yescomplemented
1153C4×D4C23×C6114yescomplemented
1154C4×D4C23×C6118yescomplemented
1155C4×D4C23×C6118yescomplemented
1156#117C23×C6111yescharacteristic
1157#117C23×C6112yes—
1158#117C23×C6114yescomplemented
1159#117C23×C6112yescomplemented
1160#117C23×C6112yescomplemented
1161#117C23×C6114yescomplemented
1162#117C23×C6114yescomplemented
1163#117C23×C6118yescomplemented
1164#117C23×C6114yescomplemented
1165#117C23×C6118yescomplemented
1166C2×C4⋊C4C23×C6112yes—
1167C2×C4⋊C4C23×C6114yescomplemented
1168C2×C4⋊C4C23×C6114yescomplemented
1169C2×C4⋊C4C23×C6112yescomplemented
1170C2×C4⋊C4C23×C6118yescomplemented
1171C2×C4⋊C4C23×C6114yescomplemented
1172C2×C22⋊C4C23×C6114yes—
1173C2×C22⋊C4C23×C6114yes—
1174C2×C22⋊C4C23×C6118yes—
1175C2×C22⋊C4C23×C6114yes—
1176C2×C22⋊C4C23×C6114yes—
1177C2×C22⋊C4C23×C6114yes—
1178C2×C22⋊C4C23×C6114yes—
1179C2×C22⋊C4C23×C6118yescomplemented
1180C2×C22⋊C4C23×C6118yescomplemented
1181C2×C22⋊C4C23×C6118yescomplemented
1182C2×C22⋊C4C23×C6118yescomplemented
1183C2×C22⋊C4C23×C6114yescomplemented
1184C2×C22⋊C4C23×C6114yescomplemented
1185C2×C22⋊C4C23×C6118yescomplemented
1186C2×C22⋊C4C23×C6118yescomplemented
1187C2×C22⋊C4C23×C6118yescomplemented
1188C2×C42C23×C6111yescharacteristic
1189C2×C42C23×C6114yescomplemented
1190C2×C42C23×C6112yescomplemented
1191C24—416no—
1192C24—48no—
1193C24C24×C6114yes—
1194C24C24×C6114yes—
1195C24C24×C6114yes—
1196C24C24×C6118yes—
1197C24C24×C6114yes—
1198C24C24×C6114yes—
1199C24C24×C6114yes—
1200#41—28no—
1201#41—216no—
1202#41—48no—
1203#41—416no—
1204#41—416no—
1205#41—42no—
1206#41—416no—
1207#41—48no—
1208#41—48no—
1209#41—48no—
1210#41—48no—
1211C2×Q8—48no—
1212C2×Q8C24×C6112yes—
1213C2×Q8C24×C6114yes—
1214C2×Q8C24×C6111yescharacteristic
1215C2×Q8C24×C6114yes—
1216C2×Q8C24×C6118yes—
1217C2×D4—28no—
1218C2×D4—216no—
1219C2×D4—216no—
1220C2×D4—28no—
1221C2×D4—48no—
1222C2×D4—48no—
1223C2×D4—48no—
1224C2×D4—48no—
1225C2×D4—44no—
1226C2×D4—416no—
1227C2×D4—416no—
1228C2×D4—416no—
1229C2×D4—416no—
1230C2×D4—48no—
1231C2×D4—48no—
1232C2×D4—416no—
1233C2×D4—416no—
1234C2×D4—416no—
1235C2×D4C24×C6112yes—
1236C2×D4C24×C6114yes—
1237C2×D4C24×C6114yes—
1238C2×D4C24×C6112yes—
1239C2×D4C24×C6118yes—
1240C2×D4C24×C6118yes—
1241C2×D4C24×C6114yes—
1242C2×D4C24×C6114yes—
1243C2×D4C24×C6118yes—
1244C2×D4C24×C6114yes—
1245C2×D4C24×C6114yes—
1246C2×D4C24×C6112yes—
1247C2×D4C24×C6112yes—
1248C2×D4C24×C6114yes—
1249C2×D4C24×C6112yes—
1250C2×D4C24×C6114yes—
1251C2×D4C24×C6114yes—
1252C2×D4C24×C6118yes—
1253C2×D4C24×C6111yescharacteristic
1254C2×D4C24×C6114yes—
1255C2×D4C24×C6118yes—
1256C2×D4C24×C6118yes—
1257C2×D4C24×C6118yes—
1258C2×D4C24×C6118yes—
1259C2×D4C24×C6114yes—
1260C2×D4C24×C6118yes—
1261C2×D4C24×C6118yes—
1262C2×D4C24×C6118yes—
1263C2×D4C24×C6118yes—
1264C2×D4C24×C6114yes—
1265C2×D4C24×C6112yes—
1266C22×C4—48no—
1267C22×C4—48no—
1268C22×C4—416no—
1269C22×C4C24×C6111yescharacteristic
1270C22×C4C24×C6112yes—
1271C22×C4C24×C6114yes—
1272C22×C4C24×C6114yes—
1273C22×C4C24×C6112yes—
1274C22×C4C24×C6112yes—
1275C22×C4C24×C6118yes—
1276C22×C4C24×C6114yes—
1277C22×C4C24×C6114yes—
1278C22×C4C24×C6114yes—
1279C22×C4C24×C6112yes—
1280C22×C4C24×C6114yes—
1281C22×C4C24×C6114yes—
1282C22×C4C24×C6118yes—
1283C22×C4C24×C6118yes—
1284C22×C4C24×C6118yes—
1285C22×C4C24×C6118yes—
1286C22×C4C24×C6114yes—
1287C22×C4C24×C6114yes—
1288C22×C4C24×C6114yes—
1289C22×C4C24×C6118yes—
1290C22×C4C24×C6114yes—
1291C22×C4C24×C6114yes—
1292C4⋊C4C24×C6112yes—
1293C4⋊C4C24×C6112yes—
1294C4⋊C4C24×C6114yes—
1295C4⋊C4C24×C6112yes—
1296C4⋊C4C24×C6114yes—
1297C4⋊C4C24×C6112yes—
1298C4⋊C4C24×C6114yes—
1299C4⋊C4C24×C6118yes—
1300C4⋊C4C24×C6114yes—
1301C4⋊C4C24×C6114yes—
1302C4⋊C4C24×C6114yes—
1303C4⋊C4C24×C6118yes—
1304C4⋊C4C24×C6114yes—
1305C4⋊C4C24×C6118yes—
1306C4⋊C4C24×C6118yes—
1307C4⋊C4C24×C6112yes—
1308C4⋊C4C24×C6114yes—
1309C4⋊C4C24×C6112yes—
1310C4⋊C4C24×C6114yes—
1311C4⋊C4C24×C6118yes—
1312C4⋊C4C24×C6112yes—
1313C4⋊C4C24×C6114yes—
1314C4⋊C4C24×C6114yes—
1315C4⋊C4C24×C6114yes—
1316C4⋊C4C24×C6114yes—
1317C22⋊C4C24×C6111yescharacteristic
1318C22⋊C4C24×C6114yes—
1319C22⋊C4C24×C6114yes—
1320C22⋊C4C24×C6111yescharacteristic
1321C22⋊C4C24×C6114yes—
1322C22⋊C4C24×C6114yes—
1323C22⋊C4C24×C6118yes—
1324C22⋊C4C24×C6118yes—
1325C22⋊C4C24×C6118yes—
1326C22⋊C4C24×C6114yes—
1327C22⋊C4C24×C6114yes—
1328C22⋊C4C24×C6114yes—
1329C22⋊C4C24×C6118yes—
1330C22⋊C4C24×C6114yes—
1331C22⋊C4C24×C6114yes—
1332C22⋊C4C24×C6114yes—
1333C22⋊C4C24×C6114yes—
1334C22⋊C4C24×C6114yes—
1335C22⋊C4C24×C6118yes—
1336C22⋊C4C24×C6114yes—
1337C22⋊C4C24×C6114yes—
1338C22⋊C4C24×C6114yes—
1339C22⋊C4C24×C6118yes—
1340C22⋊C4C24×C6112yes—
1341C22⋊C4C24×C6114yes—
1342C22⋊C4C24×C6118yes—
1343C22⋊C4C24×C6114yes—
1344C22⋊C4C24×C6114yes—
1345C22⋊C4C24×C6118yes—
1346C22⋊C4C24×C6114yes—
1347C22⋊C4C24×C6118yes—
1348C22⋊C4C24×C6118yes—
1349C22⋊C4C24×C6118yes—
1350C22⋊C4C24×C6118yes—
1351C22⋊C4C24×C6114yes—
1352C22⋊C4C24×C6114yes—
1353C22⋊C4C24×C6112yes—
1354C22⋊C4C24×C6114yes—
1355C22⋊C4C24×C6114yes—
1356C22⋊C4C24×C6114yes—
1357C42C24×C6111yescharacteristic
1358C42C24×C6112yes—
1359C42C24×C6111yescharacteristic
1360C42C24×C6112yes—
1361C42C24×C6112yes—
1362C42C24×C6114yes—
1363C42C24×C6114yes—
1364C42C24×C6112yes—
1365C42C24×C6114yes—
1366C42C24×C6114yes—
1367C42C24×C6118yes—
1368C23—216no—
1369C23—28no—
1370C23—28no—
1371C23—28no—
1372C23—216no—
1373C23—28no—
1374C23—44no—
1375C23—44no—
1376C23—44no—
1377C23—48no—
1378C23—48no—
1379C23—48no—
1380C23—44no—
1381C23—48no—
1382C23—44no—
1383C23—48no—
1384C23—44no—
1385C23—832no—
1386C23C25×C6114yes—
1387C23C25×C6114yes—
1388C23C25×C6114yes—
1389C23C25×C6114yes—
1390C23C25×C6112yes—
1391C23C25×C6114yes—
1392C23C25×C6111yescharacteristic
1393Q8—24no—
1394Q8—28no—
1395Q8—48no—
1396Q8—41no—
1397Q8—44no—
1398D4—28no—
1399D4—216no—
1400D4—216no—
1401D4—28no—
1402D4—216no—
1403D4—28no—
1404D4—28no—
1405D4—24no—
1406D4—24no—
1407D4—28no—
1408D4—28no—
1409D4—24no—
1410D4—48no—
1411D4—48no—
1412D4—48no—
1413D4—44no—
1414D4—48no—
1415D4—44no—
1416D4—44no—
1417D4—48no—
1418D4—48no—
1419D4—42no—
1420D4—42no—
1421D4—44no—
1422D4—44no—
1423D4—48no—
1424D4—44no—
1425D4—48no—
1426D4—48no—
1427D4—41no—
1428D4H(5,𝔽2)×C6118yescomplemented
1429C2×C4—28no—
1430C2×C4—216no—
1431C2×C4—22no—
1432C2×C4—24no—
1433C2×C4—28no—
1434C2×C4—24no—
1435C2×C4—28no—
1436C2×C4—28no—
1437C2×C4—24no—
1438C2×C4—44no—
1439C2×C4—44no—
1440C2×C4—44no—
1441C2×C4—44no—
1442C2×C4—48no—
1443C2×C4—44no—
1444C2×C4—48no—
1445C2×C4—44no—
1446C2×C4—48no—
1447C2×C4—44no—
1448C2×C4—44no—
1449C2×C4—48no—
1450C2×C4—48no—
1451C2×C4—42no—
1452C2×C4C25×C6111yescharacteristic
1453C2×C4C25×C6112yes—
1454C2×C4C25×C6111yescharacteristic
1455C2×C4C25×C6114yes—
1456C2×C4C25×C6112yes—
1457C2×C4C25×C6114yes—
1458C2×C4C25×C6112yes—
1459C2×C4C25×C6114yes—
1460C2×C4C25×C6118yes—
1461C2×C4C25×C6114yes—
1462C2×C4C25×C6112yes—
1463C2×C4C25×C6114yes—
1464C2×C4C25×C6112yes—
1465C22—24no—
1466C22—22no—
1467C22—24no—
1468C22—22no—
1469C22—24no—
1470C22—24no—
1471C22—22no—
1472C22—28no—
1473C22—24no—
1474C22—28no—
1475C22—24no—
1476C22—22no—
1477C22—24no—
1478C22—24no—
1479C22—24no—
1480C22—24no—
1481C22—416no—
1482C22—416no—
1483C22—88no—
1484C22—88no—
1485C22—816no—
1486C22—88no—
1487C22—164no—
1488C22C2×H(5,𝔽2)×C6118yes—
1489C22C61×#58512yes—
1490C22C26×C6111yescharacteristic
1491C4—22no—
1492C4—24no—
1493C4—22no—
1494C4—24no—
1495C4—24no—
1496C4—22no—
1497C4—28no—
1498C4—24no—
1499C4—21no—
1500C4—21no—
1501C4—24no—
1502C4—22no—
1503C4C2×H(5,𝔽2)×C6114yes—
1504C2—22no—
1505C2—28no—
1506C2—44no—
1507C2—44no—
1508C2—44no—
1509C2—42no—
1510C2—44no—
1511C2C22×H(5,𝔽2)×C6112yes—
1512C2C2×C61×#58511yescharacteristic
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×#3546C2semidirect
3. C61×#3543C2semidirect
4. C61×#3542C2semidirect
5. C61×#3536C2semidirect
6. C61×#3534C2semidirect
7. C61×#3532C2semidirect
8. C61×#3520C2semidirect
9. C61×#3519C2semidirect
10. C61×#3514C2semidirect
11. C61×#3513C2semidirect
12. C61×#3508C2semidirect
13. C61×#3496C2semidirect
14. C61×#3490C2semidirect
15. C61×#3488C2semidirect
16. C61×#3484C2semidirect
17. C61×#3481C2semidirect
18. D4×#41×C61C2semidirect
19. C2×C61×#546C2semidirect
20. C2×D42×C61C2semidirect
21. C2×H(5,𝔽2)×C61C22semidirect
22. C22×#41×C61C22semidirect
23. C23×D4×C61C22semidirect
24. C61×#562C22semidirect
25. C61×#562C22semidirect
26. C61×H(3,𝔽4)C22semidirect
27. C61×#560C22semidirect
28. C61×#560C22semidirect
29. C61×#560C22semidirect
30. C61×#559C22semidirect
31. C61×#559C22semidirect
32. C61×#559C22semidirect
33. C61×#556C22semidirect
34. C61×#555C22semidirect
35. C61×#554C22semidirect
36. C61×#554C22semidirect
37. C61×#554C22semidirect
38. C61×#553C22semidirect
39. C61×#553C22semidirect
40. C61×#553C22semidirect
41. C61×#553C22semidirect
42. C61×#553C22semidirect
43. C61×#552C22semidirect
44. C61×#551C22semidirect
45. C61×#551C22semidirect
46. C61×#551C22semidirect
47. C61×#551C22semidirect
48. C61×#551C22semidirect
49. C61×#551C22semidirect
50. C61×#550C22semidirect
51. C61×#550C22semidirect
52. C61×#550C22semidirect
53. D4×Q8×C61C22semidirect
54. C61×#548C22semidirect
55. C61×#548C22semidirect
56. C61×#548C22semidirect
57. C61×#547C22semidirect
58. C61×#547C22semidirect
59. C61×#547C22semidirect
60. C61×#547C22semidirect
61. C61×#546C22semidirect
62. C61×#546C22semidirect
63. C61×#546C22semidirect
64. C61×#546C22semidirect
65. C61×#546C22semidirect
66. C61×#546C22semidirect
67. C61×#546C22semidirect
68. C61×#546C22semidirect
69. C61×#546C22semidirect
70. C61×#546C22semidirect
71. C61×#546C22semidirect
72. C61×#546C22semidirect
73. C61×#546C22semidirect
74. C61×#546C22semidirect
75. C61×#546C22semidirect
76. C61×#546C22semidirect
77. C61×#546C22semidirect
78. C61×#546C22semidirect
79. C61×#546C22semidirect
80. C61×#546C22semidirect
81. C61×#546C22semidirect
82. C61×#546C22semidirect
83. C61×#546C22semidirect
84. C61×#546C22semidirect
85. D42×C61C22semidirect
86. D42×C61C22semidirect
87. D42×C61C22semidirect
88. D42×C61C22semidirect
89. D42×C61C22semidirect
90. D42×C61C22semidirect
91. D42×C61C22semidirect
92. D42×C61C22semidirect
93. D42×C61C22semidirect
94. D42×C61C22semidirect
95. D42×C61C22semidirect
96. D42×C61C22semidirect
97. D42×C61C22semidirect
98. D42×C61C22semidirect
99. C61×#543C22semidirect
100. C61×#542C22semidirect
101. C61×#542C22semidirect
102. C61×#542C22semidirect
103. C61×#540C22semidirect
104. C61×#540C22semidirect
105. C61×#540C22semidirect
106. C61×#539C22semidirect
107. C61×#539C22semidirect
108. C61×#538C22semidirect
109. C61×#538C22semidirect
110. C61×#538C22semidirect
111. C61×#538C22semidirect
112. C61×#538C22semidirect
113. C61×#538C22semidirect
114. C61×#537C22semidirect
115. C61×#537C22semidirect
116. C61×#537C22semidirect
117. C61×#535C22semidirect
118. C61×#535C22semidirect
119. C61×#535C22semidirect
120. C61×#535C22semidirect
121. C61×#535C22semidirect
122. C61×#534C22semidirect
123. C61×#534C22semidirect
124. C61×#534C22semidirect
125. C61×#534C22semidirect
126. C61×#533C22semidirect
127. C61×#532C22semidirect
128. C61×#532C22semidirect
129. C61×#532C22semidirect
130. C61×#532C22semidirect
131. C2×#127×C61C22semidirect
132. C61×#529C22semidirect
133. C61×#529C22semidirect
134. C61×#529C22semidirect
135. C61×#529C22semidirect
136. C2×#124×C61C22semidirect
137. C61×#525C22semidirect
138. C61×#525C22semidirect
139. C61×#525C22semidirect
140. C61×#525C22semidirect
141. C61×#525C22semidirect
142. C61×#525C22semidirect
143. C2×#123×C61C22semidirect
144. C2×C22⋊Q8×C61C22semidirect
145. C2×#121×C61C22semidirect
146. C2×#121×C61C22semidirect
147. C2×#121×C61C22semidirect
148. C2×#121×C61C22semidirect
149. C2×#120×C61C22semidirect
150. C2×#120×C61C22semidirect
151. C2×#120×C61C22semidirect
152. C61×#520C22semidirect
153. C61×#518C22semidirect
154. C61×#518C22semidirect
155. C61×#518C22semidirect
156. C4×#41×C61C22semidirect
157. C4×#41×C61C22semidirect
158. C2×C4×D4×C61C22semidirect
159. C2×C4×D4×C61C22semidirect
160. C2×C4×D4×C61C22semidirect
161. C2×C4×D4×C61C22semidirect
162. C22×C22⋊C4×C61C22semidirect
169. C2×#41×C61C23semidirect
170. C2×#41×C61C23semidirect
171. C2×#41×C61C23semidirect
172. C2×#41×C61C23semidirect
173. C2×#41×C61C23semidirect
174. C2×#41×C61C23semidirect
175. C2×#41×C61C23semidirect
176. C2×#41×C61C23semidirect
177. C22×Q8×C61C23semidirect
192. C22×D4×C61C23semidirect
193. C22×D4×C61C23semidirect
194. C22×D4×C61C23semidirect
195. C22×D4×C61C23semidirect
196. C22×D4×C61C23semidirect
198. C23×C4×C61C23semidirect
199. C23×C4×C61C23semidirect
200. C4⋊Q8×C61C23semidirect
201. C4⋊Q8×C61C23semidirect
202. C4⋊Q8×C61C23semidirect
208. #127×C61C23semidirect
209. #127×C61C23semidirect
210. #127×C61C23semidirect
211. #126×C61C23semidirect
212. #126×C61C23semidirect
213. #126×C61C23semidirect
214. #126×C61C23semidirect
215. #126×C61C23semidirect
216. #126×C61C23semidirect
217. #126×C61C23semidirect
218. #126×C61C23semidirect
219. #125×C61C23semidirect
220. #125×C61C23semidirect
221. #125×C61C23semidirect
222. #125×C61C23semidirect
223. #125×C61C23semidirect
226. #124×C61C23semidirect
227. #124×C61C23semidirect
228. #124×C61C23semidirect
229. #124×C61C23semidirect
230. #124×C61C23semidirect
231. #124×C61C23semidirect
232. #124×C61C23semidirect
233. #124×C61C23semidirect
234. #124×C61C23semidirect
235. #124×C61C23semidirect
236. #124×C61C23semidirect
237. #124×C61C23semidirect
238. #124×C61C23semidirect
242. #123×C61C23semidirect
243. #123×C61C23semidirect
244. #123×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
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
283. C22⋊Q8×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
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. C4×Q8×C61C23semidirect
354. C4×Q8×C61C23semidirect
355. C4×Q8×C61C23semidirect
356. C4×Q8×C61C23semidirect
357. C4×Q8×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. C4×D4×C61C23semidirect
391. C4×D4×C61C23semidirect
392. C4×D4×C61C23semidirect
393. C4×D4×C61C23semidirect
394. C4×D4×C61C23semidirect
395. C4×D4×C61C23semidirect
396. C4×D4×C61C23semidirect
397. C4×D4×C61C23semidirect
398. C4×D4×C61C23semidirect
401. #117×C61C23semidirect
402. #117×C61C23semidirect
403. #117×C61C23semidirect
404. #117×C61C23semidirect
405. #117×C61C23semidirect
406. #117×C61C23semidirect
407. #117×C61C23semidirect
408. #117×C61C23semidirect
410. C2×C4⋊C4×C61C23semidirect
411. C2×C4⋊C4×C61C23semidirect
412. C2×C4⋊C4×C61C23semidirect
413. C2×C4⋊C4×C61C23semidirect
414. C2×C4⋊C4×C61C23semidirect
422. C2×C22⋊C4×C61C23semidirect
423. C2×C22⋊C4×C61C23semidirect
424. C2×C22⋊C4×C61C23semidirect
425. C2×C22⋊C4×C61C23semidirect
426. C2×C22⋊C4×C61C23semidirect
427. C2×C22⋊C4×C61C23semidirect
428. C2×C22⋊C4×C61C23semidirect
429. C2×C22⋊C4×C61C23semidirect
430. C2×C22⋊C4×C61C23semidirect
432. C2×C42×C61C23semidirect
433. C2×C42×C61C23semidirect
671. D4×C61H(5,𝔽2)semidirect
708. #63012C61direct (N × H)
748. #3558C2×C61semidirect
749. #3546C2×C61semidirect
750. #3543C2×C61semidirect
751. #3542C2×C61semidirect
752. #3536C2×C61semidirect
753. #3534C2×C61semidirect
754. #3532C2×C61semidirect
755. #3520C2×C61semidirect
756. #3519C2×C61semidirect
757. #3514C2×C61semidirect
758. #3513C2×C61semidirect
759. #3508C2×C61semidirect
760. #3496C2×C61semidirect
761. #3490C2×C61semidirect
762. #3488C2×C61semidirect
763. #3484C2×C61semidirect
764. #3481C2×C61semidirect
765. D4×#41C2×C61semidirect
766. C2×#546C2×C61semidirect
767. C2×D42C2×C61semidirect
777. C2×H(5,𝔽2)C22×C61semidirect
778. C22×#41C22×C61semidirect
779. C23×D4C22×C61semidirect
780. #562C22×C61semidirect
781. #562C22×C61semidirect
782. H(3,𝔽4)C22×C61semidirect
783. #560C22×C61semidirect
784. #560C22×C61semidirect
785. #560C22×C61semidirect
786. #559C22×C61semidirect
787. #559C22×C61semidirect
788. #559C22×C61semidirect
789. #556C22×C61semidirect
790. #555C22×C61semidirect
791. #554C22×C61semidirect
792. #554C22×C61semidirect
793. #554C22×C61semidirect
794. #553C22×C61semidirect
795. #553C22×C61semidirect
796. #553C22×C61semidirect
797. #553C22×C61semidirect
798. #553C22×C61semidirect
799. #552C22×C61semidirect
800. #551C22×C61semidirect
801. #551C22×C61semidirect
802. #551C22×C61semidirect
803. #551C22×C61semidirect
804. #551C22×C61semidirect
805. #551C22×C61semidirect
806. #550C22×C61semidirect
807. #550C22×C61semidirect
808. #550C22×C61semidirect
809. D4×Q8C22×C61semidirect
810. #548C22×C61semidirect
811. #548C22×C61semidirect
812. #548C22×C61semidirect
813. #547C22×C61semidirect
814. #547C22×C61semidirect
815. #547C22×C61semidirect
816. #547C22×C61semidirect
817. #546C22×C61semidirect
818. #546C22×C61semidirect
819. #546C22×C61semidirect
820. #546C22×C61semidirect
821. #546C22×C61semidirect
822. #546C22×C61semidirect
823. #546C22×C61semidirect
824. #546C22×C61semidirect
825. #546C22×C61semidirect
826. #546C22×C61semidirect
827. #546C22×C61semidirect
828. #546C22×C61semidirect
829. #546C22×C61semidirect
830. #546C22×C61semidirect
831. #546C22×C61semidirect
832. #546C22×C61semidirect
833. #546C22×C61semidirect
834. #546C22×C61semidirect
835. #546C22×C61semidirect
836. #546C22×C61semidirect
837. #546C22×C61semidirect
838. #546C22×C61semidirect
839. #546C22×C61semidirect
840. #546C22×C61semidirect
841. D42C22×C61semidirect
842. D42C22×C61semidirect
843. D42C22×C61semidirect
844. D42C22×C61semidirect
845. D42C22×C61semidirect
846. D42C22×C61semidirect
847. D42C22×C61semidirect
848. D42C22×C61semidirect
849. D42C22×C61semidirect
850. D42C22×C61semidirect
851. D42C22×C61semidirect
852. D42C22×C61semidirect
853. D42C22×C61semidirect
854. D42C22×C61semidirect
855. #543C22×C61semidirect
856. #542C22×C61semidirect
857. #542C22×C61semidirect
858. #542C22×C61semidirect
859. #540C22×C61semidirect
860. #540C22×C61semidirect
861. #540C22×C61semidirect
862. #539C22×C61semidirect
863. #539C22×C61semidirect
864. #538C22×C61semidirect
865. #538C22×C61semidirect
866. #538C22×C61semidirect
867. #538C22×C61semidirect
868. #538C22×C61semidirect
869. #538C22×C61semidirect
870. #537C22×C61semidirect
871. #537C22×C61semidirect
872. #537C22×C61semidirect
873. #535C22×C61semidirect
874. #535C22×C61semidirect
875. #535C22×C61semidirect
876. #535C22×C61semidirect
877. #535C22×C61semidirect
878. #534C22×C61semidirect
879. #534C22×C61semidirect
880. #534C22×C61semidirect
881. #534C22×C61semidirect
882. #533C22×C61semidirect
883. #532C22×C61semidirect
884. #532C22×C61semidirect
885. #532C22×C61semidirect
886. #532C22×C61semidirect
887. C2×#127C22×C61semidirect
888. #529C22×C61semidirect
889. #529C22×C61semidirect
890. #529C22×C61semidirect
891. #529C22×C61semidirect
892. C2×#124C22×C61semidirect
893. #525C22×C61semidirect
894. #525C22×C61semidirect
895. #525C22×C61semidirect
896. #525C22×C61semidirect
897. #525C22×C61semidirect
898. #525C22×C61semidirect
899. C2×#123C22×C61semidirect
900. C2×C22⋊Q8C22×C61semidirect
901. C2×#121C22×C61semidirect
902. C2×#121C22×C61semidirect
903. C2×#121C22×C61semidirect
904. C2×#121C22×C61semidirect
905. C2×#120C22×C61semidirect
906. C2×#120C22×C61semidirect
907. C2×#120C22×C61semidirect
908. #520C22×C61semidirect
909. #518C22×C61semidirect
910. #518C22×C61semidirect
911. #518C22×C61semidirect
912. C4×#41C22×C61semidirect
913. C4×#41C22×C61semidirect
914. C2×C4×D4C22×C61semidirect
915. C2×C4×D4C22×C61semidirect
916. C2×C4×D4C22×C61semidirect
917. C2×C4×D4C22×C61semidirect
918. C22×C22⋊C4C22×C61semidirect
919. C61#63012direct (N × H)
926. C2×#41C23×C61semidirect
927. C2×#41C23×C61semidirect
928. C2×#41C23×C61semidirect
929. C2×#41C23×C61semidirect
930. C2×#41C23×C61semidirect
931. C2×#41C23×C61semidirect
932. C2×#41C23×C61semidirect
933. C2×#41C23×C61semidirect
934. C22×Q8C23×C61semidirect
949. C22×D4C23×C61semidirect
950. C22×D4C23×C61semidirect
951. C22×D4C23×C61semidirect
952. C22×D4C23×C61semidirect
953. C22×D4C23×C61semidirect
955. C23×C4C23×C61semidirect
956. C23×C4C23×C61semidirect
957. C4⋊Q8C23×C61semidirect
958. C4⋊Q8C23×C61semidirect
959. C4⋊Q8C23×C61semidirect
965. #127C23×C61semidirect
966. #127C23×C61semidirect
967. #127C23×C61semidirect
968. #126C23×C61semidirect
969. #126C23×C61semidirect
970. #126C23×C61semidirect
971. #126C23×C61semidirect
972. #126C23×C61semidirect
973. #126C23×C61semidirect
974. #126C23×C61semidirect
975. #126C23×C61semidirect
976. #125C23×C61semidirect
977. #125C23×C61semidirect
978. #125C23×C61semidirect
979. #125C23×C61semidirect
980. #125C23×C61semidirect
983. #124C23×C61semidirect
984. #124C23×C61semidirect
985. #124C23×C61semidirect
986. #124C23×C61semidirect
987. #124C23×C61semidirect
988. #124C23×C61semidirect
989. #124C23×C61semidirect
990. #124C23×C61semidirect
991. #124C23×C61semidirect
992. #124C23×C61semidirect
993. #124C23×C61semidirect
994. #124C23×C61semidirect
995. #124C23×C61semidirect
999. #123C23×C61semidirect
1000. #123C23×C61semidirect
1001. #123C23×C61semidirect
1002. #123C23×C61semidirect
1003. #123C23×C61semidirect
1004. #123C23×C61semidirect
1005. #123C23×C61semidirect
1006. #123C23×C61semidirect
1007. #123C23×C61semidirect
1008. #123C23×C61semidirect
1009. #123C23×C61semidirect
1010. #123C23×C61semidirect
1011. #123C23×C61semidirect
1012. #123C23×C61semidirect
1013. #123C23×C61semidirect
1014. #123C23×C61semidirect
1015. #123C23×C61semidirect
1016. #123C23×C61semidirect
1017. #123C23×C61semidirect
1018. #123C23×C61semidirect
1019. #123C23×C61semidirect
1020. #123C23×C61semidirect
1025. C22⋊Q8C23×C61semidirect
1026. C22⋊Q8C23×C61semidirect
1027. C22⋊Q8C23×C61semidirect
1028. C22⋊Q8C23×C61semidirect
1029. C22⋊Q8C23×C61semidirect
1030. C22⋊Q8C23×C61semidirect
1031. C22⋊Q8C23×C61semidirect
1032. C22⋊Q8C23×C61semidirect
1033. C22⋊Q8C23×C61semidirect
1034. C22⋊Q8C23×C61semidirect
1035. C22⋊Q8C23×C61semidirect
1036. C22⋊Q8C23×C61semidirect
1037. C22⋊Q8C23×C61semidirect
1038. C22⋊Q8C23×C61semidirect
1039. C22⋊Q8C23×C61semidirect
1040. C22⋊Q8C23×C61semidirect
1055. #121C23×C61semidirect
1056. #121C23×C61semidirect
1057. #121C23×C61semidirect
1058. #121C23×C61semidirect
1059. #121C23×C61semidirect
1060. #121C23×C61semidirect
1061. #121C23×C61semidirect
1062. #121C23×C61semidirect
1063. #121C23×C61semidirect
1064. #121C23×C61semidirect
1065. #121C23×C61semidirect
1066. #121C23×C61semidirect
1067. #121C23×C61semidirect
1068. #121C23×C61semidirect
1069. #121C23×C61semidirect
1070. #121C23×C61semidirect
1071. #121C23×C61semidirect
1072. #121C23×C61semidirect
1073. #121C23×C61semidirect
1074. #121C23×C61semidirect
1075. #121C23×C61semidirect
1076. #121C23×C61semidirect
1077. #121C23×C61semidirect
1078. #121C23×C61semidirect
1079. #121C23×C61semidirect
1080. #121C23×C61semidirect
1081. #121C23×C61semidirect
1082. #121C23×C61semidirect
1083. #121C23×C61semidirect
1084. #121C23×C61semidirect
1085. #121C23×C61semidirect
1098. #120C23×C61semidirect
1099. #120C23×C61semidirect
1100. #120C23×C61semidirect
1101. #120C23×C61semidirect
1102. #120C23×C61semidirect
1103. #120C23×C61semidirect
1104. #120C23×C61semidirect
1105. #120C23×C61semidirect
1106. #120C23×C61semidirect
1107. #120C23×C61semidirect
1108. #120C23×C61semidirect
1109. #120C23×C61semidirect
1110. C4×Q8C23×C61semidirect
1111. C4×Q8C23×C61semidirect
1112. C4×Q8C23×C61semidirect
1113. C4×Q8C23×C61semidirect
1114. C4×Q8C23×C61semidirect
1130. C4×D4C23×C61semidirect
1131. C4×D4C23×C61semidirect
1132. C4×D4C23×C61semidirect
1133. C4×D4C23×C61semidirect
1134. C4×D4C23×C61semidirect
1135. C4×D4C23×C61semidirect
1136. C4×D4C23×C61semidirect
1137. C4×D4C23×C61semidirect
1138. C4×D4C23×C61semidirect
1139. C4×D4C23×C61semidirect
1140. C4×D4C23×C61semidirect
1141. C4×D4C23×C61semidirect
1142. C4×D4C23×C61semidirect
1143. C4×D4C23×C61semidirect
1144. C4×D4C23×C61semidirect
1145. C4×D4C23×C61semidirect
1146. C4×D4C23×C61semidirect
1147. C4×D4C23×C61semidirect
1148. C4×D4C23×C61semidirect
1149. C4×D4C23×C61semidirect
1150. C4×D4C23×C61semidirect
1151. C4×D4C23×C61semidirect
1152. C4×D4C23×C61semidirect
1153. C4×D4C23×C61semidirect
1154. C4×D4C23×C61semidirect
1155. C4×D4C23×C61semidirect
1158. #117C23×C61semidirect
1159. #117C23×C61semidirect
1160. #117C23×C61semidirect
1161. #117C23×C61semidirect
1162. #117C23×C61semidirect
1163. #117C23×C61semidirect
1164. #117C23×C61semidirect
1165. #117C23×C61semidirect
1167. C2×C4⋊C4C23×C61semidirect
1168. C2×C4⋊C4C23×C61semidirect
1169. C2×C4⋊C4C23×C61semidirect
1170. C2×C4⋊C4C23×C61semidirect
1171. C2×C4⋊C4C23×C61semidirect
1179. C2×C22⋊C4C23×C61semidirect
1180. C2×C22⋊C4C23×C61semidirect
1181. C2×C22⋊C4C23×C61semidirect
1182. C2×C22⋊C4C23×C61semidirect
1183. C2×C22⋊C4C23×C61semidirect
1184. C2×C22⋊C4C23×C61semidirect
1185. C2×C22⋊C4C23×C61semidirect
1186. C2×C22⋊C4C23×C61semidirect
1187. C2×C22⋊C4C23×C61semidirect
1189. C2×C42C23×C61semidirect
1190. C2×C42C23×C61semidirect
1428. 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×#35462
C61×#35432
C61×#35422
C61×#35362
C61×#35342
C61×#35322
C61×#35202
C61×#35192
C61×#35142
C61×#35132
C61×#35082
C61×#34962
C61×#34902
C61×#34882
C61×#34842
C61×#34812
D4×#41×C612
C2×C61×#5462
C2×D42×C612
#6301261