Finite Group Databasebeta

← C61×#62912 #29566345

Subgroups — C61×#62912 #29566345

Order 15616.

8078 conjugacy classes of subgroups.

The subgroup lattice has 1864 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3558C214yesmaximal, complemented
2C61×#3549C212yesmaximal, complemented
3C61×#3546C212yesmaximal, complemented
4C61×#3546C212yesmaximal, complemented
5C61×#3543C214yesmaximal, complemented
6C61×#3543C212yesmaximal, complemented
7C61×#3542C214yesmaximal, complemented
8C61×#3542C214yesmaximal, complemented
9C61×#3537C214yesmaximal, complemented
10C61×#3532C218yesmaximal, complemented
11C61×#3519C212yesmaximal, complemented
12C61×#3514C212yesmaximal, complemented
13C61×#3508C211yesmaximal, characteristic, complemented
14C61×#3506C211yesmaximal, characteristic, complemented
15C61×#3498C211yesmaximal, characteristic, complemented
16C61×#3498C212yesmaximal, complemented
17C61×#3496C212yesmaximal, complemented
18C61×#3494C212yesmaximal, complemented
19C61×#3488C212yesmaximal, complemented
20C61×#3484C212yesmaximal, complemented
21C61×#3484C214yesmaximal, complemented
22C61×#3475C211yesmaximal, characteristic, complemented
23D4×#41×C61C211yesmaximal, characteristic, complemented
24C2×D42×C61C211yesmaximal, characteristic, complemented
25C61×#3460C211yesmaximal, characteristic, complemented
26C2×C61×#535C212yesmaximal, complemented
27C2×H(5,𝔽2)×C61C2212yescomplemented
28C2×H(5,𝔽2)×C61C2214yescomplemented
29C22×#41×C61C2212yescomplemented
30C23×D4×C61C2212yescomplemented
31C23×D4×C61C2212yescomplemented
32C61×#562C2218yescomplemented
33C61×H(3,𝔽4)C2218yescomplemented
34C61×#560C2218yescomplemented
35C61×#560C2218yescomplemented
36C61×#560C2218yescomplemented
37C61×#560C2218yescomplemented
38C61×#559C2214yescomplemented
39C61×#559C2212yescomplemented
40C61×#559C2212yescomplemented
41C61×#556C2211yescharacteristic, complemented
42C61×#556C2212yescomplemented
43C61×#555C2211yescharacteristic, complemented
44C61×#555C2212yescomplemented
45C61×#555C2214yescomplemented
46C61×#555C2214yescomplemented
47C61×#554C2211yescharacteristic, complemented
48C61×#553C2212yescomplemented
49C61×#553C2214yescomplemented
50C61×#553C2214yescomplemented
51C61×#553C2214yescomplemented
52C61×#553C2214yescomplemented
53C61×#552C2212yescomplemented
54C61×#552C2212yescomplemented
55C61×#551C2214yescomplemented
56C61×#551C2218yescomplemented
57C61×#551C2218yescomplemented
58C61×#550C2211yescharacteristic, complemented
59C61×#550C2212yescomplemented
60C61×#550C2214yescomplemented
61C61×#550C2214yescomplemented
62C61×#550C2212yescomplemented
63C61×#550C2212yescomplemented
64C61×#550C2212yescomplemented
65C61×#550C2212yescomplemented
66D4×Q8×C61C2211yescharacteristic, complemented
67C61×#548C2212yescomplemented
68C61×#548C2214yescomplemented
69C61×#547C2212yescomplemented
70C61×#547C2211yescharacteristic, complemented
71C61×#547C2212yescomplemented
72C61×#547C2211yescharacteristic, complemented
73C61×#547C2214yescomplemented
74C61×#546C2212yescomplemented
75C61×#546C2218yescomplemented
76C61×#546C2214yescomplemented
77C61×#546C2214yescomplemented
78C61×#546C2214yescomplemented
79C61×#546C2218yescomplemented
80C61×#546C2212yescomplemented
81C61×#546C2214yescomplemented
82C61×#546C2218yescomplemented
83C61×#546C2218yescomplemented
84C61×#546C2218yescomplemented
85C61×#546C2214yescomplemented
86C61×#546C2214yescomplemented
87C61×#546C2214yescomplemented
88C61×#546C2214yescomplemented
89C61×#546C2214yescomplemented
90C61×#546C2214yescomplemented
91C61×#546C2214yescomplemented
92D42×C61C2212yescomplemented
93D42×C61C2214yescomplemented
94D42×C61C2212yescomplemented
95D42×C61C2212yescomplemented
96D42×C61C2212yescomplemented
97D42×C61C2214yescomplemented
98D42×C61C2212yescomplemented
99D42×C61C2218yescomplemented
100D42×C61C2214yescomplemented
101D42×C61C2214yescomplemented
102D42×C61C2211yescharacteristic, complemented
103D42×C61C2214yescomplemented
104D42×C61C2218yescomplemented
105D42×C61C2218yescomplemented
106D42×C61C2214yescomplemented
107D42×C61C2214yescomplemented
108D42×C61C2214yescomplemented
109D42×C61C2214yescomplemented
110D42×C61C2214yescomplemented
111D42×C61C2214yescomplemented
112D42×C61C2212yescomplemented
113D42×C61C2212yescomplemented
114C61×#544C2211yescharacteristic, complemented
115C61×#542C2212yescomplemented
116C61×#542C2212yescomplemented
117C61×#542C2214yescomplemented
118C61×#542C2214yescomplemented
119C61×#540C2212yescomplemented
120C61×#540C2212yescomplemented
121C61×#540C2214yescomplemented
122C61×#540C2214yescomplemented
123C61×#540C2218yescomplemented
124C61×#540C2214yescomplemented
125C61×#538C2214yescomplemented
126C61×#538C2214yescomplemented
127C61×#538C2218yescomplemented
128C61×#538C2218yescomplemented
129C61×#538C2218yescomplemented
130C61×#538C2218yescomplemented
131C61×#538C2218yescomplemented
132C61×#537C2211yescharacteristic, complemented
133C61×#537C2214yescomplemented
134C61×#537C2214yescomplemented
135C61×#535C2211yescharacteristic, complemented
136C61×#535C2212yescomplemented
137C61×#535C2211yescharacteristic, complemented
138C61×#535C2212yescomplemented
139C61×#535C2212yescomplemented
140C61×#535C2218yescomplemented
141C61×#535C2218yescomplemented
142C61×#535C2218yescomplemented
143C61×#535C2214yescomplemented
144C61×#535C2214yescomplemented
145C61×#535C2214yescomplemented
146C61×#535C2214yescomplemented
147C61×#535C2214yescomplemented
148C61×#535C2214yescomplemented
149C61×#535C2214yescomplemented
150C61×#535C2214yescomplemented
151C61×#535C2214yescomplemented
152C61×#534C2218yescomplemented
153C61×#534C2218yescomplemented
154C61×#534C2218yescomplemented
155C61×#534C2218yescomplemented
156C61×#534C2218yescomplemented
157C61×#533C2211yescharacteristic, complemented
158C61×#532C2211yescharacteristic, complemented
159C61×#532C2212yescomplemented
160C61×#532C2212yescomplemented
161C61×#532C2212yescomplemented
162C61×#532C2214yescomplemented
163C61×#532C2212yescomplemented
164C61×#532C2212yescomplemented
165C61×#532C2212yescomplemented
166C2×#127×C61C2211yescharacteristic, complemented
167C2×#127×C61C2214yescomplemented
168C2×#127×C61C2212yescomplemented
169C61×#529C2214yescomplemented
170C61×#529C2212yescomplemented
171C61×#529C2212yescomplemented
172C61×#529C2212yescomplemented
173C61×#529C2214yescomplemented
174C2×#124×C61C2214yescomplemented
175C61×#525C2212yescomplemented
176C61×#525C2212yescomplemented
177C61×#525C2214yescomplemented
178C61×#525C2214yescomplemented
179C61×#525C2214yescomplemented
180C61×#525C2214yescomplemented
181C2×#121×C61C2212yescomplemented
182C2×#121×C61C2212yescomplemented
183C2×#121×C61C2214yescomplemented
184C2×#121×C61C2214yescomplemented
185C2×#121×C61C2214yescomplemented
186C2×#120×C61C2214yescomplemented
187C2×#120×C61C2218yescomplemented
188C2×#120×C61C2218yescomplemented
189C61×#520C2212yescomplemented
190C61×#518C2212yescomplemented
191C61×#518C2214yescomplemented
192C4×#41×C61C2211yescharacteristic, complemented
193C4×#41×C61C2211yescharacteristic, complemented
194C4×#41×C61C2212yescomplemented
195C2×C4×D4×C61C2211yescharacteristic, complemented
196C2×C4×D4×C61C2211yescharacteristic, complemented
197C2×C4×D4×C61C2212yescomplemented
198C2×#117×C61C2212yescomplemented
199C25×C61C2314yes—
200H(5,𝔽2)×C61—416no—
201H(5,𝔽2)×C61—48no—
202C2×#41×C61—48no—
203C2×#41×C61C2312yes—
204C2×#41×C61C2311yescharacteristic
205C2×#41×C61C2311yescharacteristic
206C2×#41×C61C2312yes—
207C2×#41×C61C2314yes—
208C2×#41×C61C2314yescomplemented
209C2×#41×C61C2314yescomplemented
210C2×#41×C61C2318yescomplemented
211C2×#41×C61C2314yescomplemented
212C2×#41×C61C2314yescomplemented
213C2×#41×C61C2312yescomplemented
214C2×#41×C61C2312yescomplemented
215C2×#41×C61C2314yescomplemented
216C2×#41×C61C2314yescomplemented
217C2×#41×C61C2314yescomplemented
218C22×Q8×C61C2312yescomplemented
219C22×D4×C61—48no—
220C22×D4×C61—48no—
221C22×D4×C61C2312yes—
222C22×D4×C61C2311yescharacteristic
223C22×D4×C61C2312yes—
224C22×D4×C61C2314yes—
225C22×D4×C61C2311yescharacteristic
226C22×D4×C61C2314yes—
227C22×D4×C61C2312yes—
228C22×D4×C61C2314yes—
229C22×D4×C61C2318yes—
230C22×D4×C61C2318yes—
231C22×D4×C61C2314yes—
232C22×D4×C61C2314yes—
233C22×D4×C61C2314yes—
234C22×D4×C61C2314yes—
235C22×D4×C61C2314yes—
236C22×D4×C61C2314yes—
237C22×D4×C61C2312yes—
238C22×D4×C61C2312yescomplemented
239C22×D4×C61C2318yescomplemented
240C22×D4×C61C2314yescomplemented
241C22×D4×C61C2314yescomplemented
242C22×D4×C61C2318yescomplemented
243C22×D4×C61C2318yescomplemented
244C22×D4×C61C2314yescomplemented
245C22×D4×C61C2314yescomplemented
246C22×D4×C61C2318yescomplemented
247C22×D4×C61C2318yescomplemented
248C23×C4×C61C2312yes—
249C23×C4×C61C2312yes—
250C23×C4×C61C2314yescomplemented
251C4⋊Q8×C61C2312yescomplemented
252C4⋊Q8×C61C2311yescharacteristic, complemented
253C4⋊Q8×C61C2311yescharacteristic, complemented
254C4⋊Q8×C61C2311yescharacteristic, complemented
255C4⋊Q8×C61C2312yescomplemented
256C4⋊Q8×C61C2312yescomplemented
257#127×C61C2312yes—
258#127×C61C2312yes—
259#127×C61C2312yes—
260#127×C61C2312yes—
261#127×C61C2314yes—
262#127×C61C2312yes—
263#127×C61C2312yes—
264#127×C61C2312yes—
265#127×C61C2314yescomplemented
266#127×C61C2311yescharacteristic, complemented
267#127×C61C2318yescomplemented
268#127×C61C2314yescomplemented
269#127×C61C2318yescomplemented
270#127×C61C2314yescomplemented
271#127×C61C2314yescomplemented
272#127×C61C2318yescomplemented
273#126×C61C2314yescomplemented
274#126×C61C2318yescomplemented
275#126×C61C2318yescomplemented
276#126×C61C2314yescomplemented
277#126×C61C2314yescomplemented
278#126×C61C2314yescomplemented
279#126×C61C2314yescomplemented
280#126×C61C2318yescomplemented
281#125×C61C2312yescomplemented
282#125×C61C2312yescomplemented
283#125×C61C2314yescomplemented
284#125×C61C2312yescomplemented
285#125×C61C2312yescomplemented
286#124×C61C2312yes—
287#124×C61C2312yes—
288#124×C61C2314yes—
289#124×C61C2312yes—
290#124×C61C2314yescomplemented
291#124×C61C2314yescomplemented
292#124×C61C2312yescomplemented
293#124×C61C2318yescomplemented
294#124×C61C2314yescomplemented
295#124×C61C2314yescomplemented
296#124×C61C2314yescomplemented
297#124×C61C2314yescomplemented
298#124×C61C2318yescomplemented
299#124×C61C2314yescomplemented
300#124×C61C2314yescomplemented
301#124×C61C2318yescomplemented
302#124×C61C2318yescomplemented
303#124×C61C2318yescomplemented
304#124×C61C2318yescomplemented
305#123×C61C2314yes—
306#123×C61C2314yes—
307#123×C61C2314yes—
308#123×C61C2314yescomplemented
309#123×C61C2314yescomplemented
310#123×C61C2314yescomplemented
311#123×C61C2314yescomplemented
312#123×C61C2318yescomplemented
313#123×C61C2314yescomplemented
314#123×C61C2318yescomplemented
315#123×C61C2318yescomplemented
316#123×C61C2318yescomplemented
317#123×C61C2318yescomplemented
318#123×C61C2318yescomplemented
319#123×C61C2318yescomplemented
320#123×C61C2318yescomplemented
321#123×C61C2318yescomplemented
322#123×C61C2318yescomplemented
323#123×C61C2314yescomplemented
324#123×C61C2314yescomplemented
325#123×C61C2318yescomplemented
326#123×C61C2314yescomplemented
327C22⋊Q8×C61C2312yes—
328C22⋊Q8×C61C2312yes—
329C22⋊Q8×C61C2314yes—
330C22⋊Q8×C61C2312yescomplemented
331C22⋊Q8×C61C2312yescomplemented
332C22⋊Q8×C61C2312yescomplemented
333C22⋊Q8×C61C2318yescomplemented
334C22⋊Q8×C61C2318yescomplemented
335C22⋊Q8×C61C2314yescomplemented
336C22⋊Q8×C61C2312yescomplemented
337C22⋊Q8×C61C2314yescomplemented
338C22⋊Q8×C61C2314yescomplemented
339C22⋊Q8×C61C2314yescomplemented
340C22⋊Q8×C61C2312yescomplemented
341C22⋊Q8×C61C2314yescomplemented
342C22⋊Q8×C61C2312yescomplemented
343C22⋊Q8×C61C2312yescomplemented
344#121×C61C2312yes—
345#121×C61C2312yes—
346#121×C61C2312yes—
347#121×C61C2312yes—
348#121×C61C2312yes—
349#121×C61C2314yes—
350#121×C61C2314yes—
351#121×C61C2314yes—
352#121×C61C2312yes—
353#121×C61C2312yes—
354#121×C61C2314yes—
355#121×C61C2314yes—
356#121×C61C2314yes—
357#121×C61C2312yes—
358#121×C61C2314yes—
359#121×C61C2314yes—
360#121×C61C2314yes—
361#121×C61C2318yes—
362#121×C61C2314yes—
363#121×C61C2314yes—
364#121×C61C2312yescomplemented
365#121×C61C2314yescomplemented
366#121×C61C2314yescomplemented
367#121×C61C2318yescomplemented
368#121×C61C2314yescomplemented
369#121×C61C2314yescomplemented
370#121×C61C2312yescomplemented
371#121×C61C2314yescomplemented
372#121×C61C2312yescomplemented
373#121×C61C2314yescomplemented
374#121×C61C2314yescomplemented
375#121×C61C2312yescomplemented
376#121×C61C2314yescomplemented
377#121×C61C2314yescomplemented
378#121×C61C2314yescomplemented
379#121×C61C2318yescomplemented
380#121×C61C2318yescomplemented
381#121×C61C2318yescomplemented
382#121×C61C2318yescomplemented
383#121×C61C2318yescomplemented
384#121×C61C2318yescomplemented
385#121×C61C2318yescomplemented
386#121×C61C2318yescomplemented
387#121×C61C2318yescomplemented
388#121×C61C2318yescomplemented
389#121×C61C2318yescomplemented
390#121×C61C2318yescomplemented
391#121×C61C2318yescomplemented
392#121×C61C2318yescomplemented
393#121×C61C2312yescomplemented
394#121×C61C2314yescomplemented
395#121×C61C2314yescomplemented
396#121×C61C2318yescomplemented
397#121×C61C2318yescomplemented
398#121×C61C2318yescomplemented
399#121×C61C2318yescomplemented
400#121×C61C2318yescomplemented
401#121×C61C2318yescomplemented
402#121×C61C2314yescomplemented
403#121×C61C2312yescomplemented
404#121×C61C2314yescomplemented
405#121×C61C2312yescomplemented
406#120×C61C2314yes—
407#120×C61C2314yes—
408#120×C61C2318yes—
409#120×C61C2318yes—
410#120×C61C2318yes—
411#120×C61C2314yes—
412#120×C61C2318yes—
413#120×C61C2318yes—
414#120×C61C2318yes—
415#120×C61C2318yes—
416#120×C61C2314yes—
417#120×C61C2314yes—
418#120×C61C2318yescomplemented
419#120×C61C2318yescomplemented
420#120×C61C2318yescomplemented
421#120×C61C2318yescomplemented
422#120×C61C2318yescomplemented
423#120×C61C2318yescomplemented
424#120×C61C2318yescomplemented
425#120×C61C2318yescomplemented
426#120×C61C2318yescomplemented
427#120×C61C2318yescomplemented
428#120×C61C2318yescomplemented
429#120×C61C2318yescomplemented
430#120×C61C2314yescomplemented
431#120×C61C2318yescomplemented
432#120×C61C2318yescomplemented
433#120×C61C2318yescomplemented
434C4×Q8×C61C2312yescomplemented
435C4×Q8×C61C2312yescomplemented
436C4×Q8×C61C2311yescharacteristic, complemented
437C4×Q8×C61C2311yescharacteristic, complemented
438C4×Q8×C61C2312yescomplemented
439C4×Q8×C61C2314yescomplemented
440C4×Q8×C61C2311yescharacteristic, complemented
441C4×Q8×C61C2311yescharacteristic, complemented
442C4×D4×C61C2311yescharacteristic
443C4×D4×C61C2312yes—
444C4×D4×C61C2312yes—
445C4×D4×C61C2312yes—
446C4×D4×C61C2312yes—
447C4×D4×C61C2318yes—
448C4×D4×C61C2312yes—
449C4×D4×C61C2312yes—
450C4×D4×C61C2311yescharacteristic
451C4×D4×C61C2312yes—
452C4×D4×C61C2312yes—
453C4×D4×C61C2312yes—
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456C4×D4×C61C2312yes—
457C4×D4×C61C2312yes—
458C4×D4×C61C2312yes—
459C4×D4×C61C2311yescharacteristic, complemented
460C4×D4×C61C2311yescharacteristic, complemented
461C4×D4×C61C2312yescomplemented
462C4×D4×C61C2314yescomplemented
463C4×D4×C61C2318yescomplemented
464C4×D4×C61C2314yescomplemented
465C4×D4×C61C2314yescomplemented
466C4×D4×C61C2314yescomplemented
467C4×D4×C61C2314yescomplemented
468C4×D4×C61C2314yescomplemented
469C4×D4×C61C2314yescomplemented
470C4×D4×C61C2314yescomplemented
471C4×D4×C61C2314yescomplemented
472C4×D4×C61C2314yescomplemented
473C4×D4×C61C2314yescomplemented
474C4×D4×C61C2312yescomplemented
475C4×D4×C61C2314yescomplemented
476C4×D4×C61C2314yescomplemented
477C4×D4×C61C2318yescomplemented
478C4×D4×C61C2318yescomplemented
479C4×D4×C61C2318yescomplemented
480C4×D4×C61C2318yescomplemented
481C4×D4×C61C2311yescharacteristic, complemented
482C4×D4×C61C2312yescomplemented
483C4×D4×C61C2311yescharacteristic, complemented
484C4×D4×C61C2314yescomplemented
485C4×D4×C61C2314yescomplemented
486C4×D4×C61C2314yescomplemented
487C4×D4×C61C2314yescomplemented
488#117×C61C2312yes—
489#117×C61C2311yescharacteristic
490#117×C61C2314yes—
491#117×C61C2311yescharacteristic
492#117×C61C2314yescomplemented
493#117×C61C2312yescomplemented
494#117×C61C2314yescomplemented
495#117×C61C2312yescomplemented
496#117×C61C2312yescomplemented
497#117×C61C2312yescomplemented
498#117×C61C2314yescomplemented
499#117×C61C2318yescomplemented
500#117×C61C2314yescomplemented
501#117×C61C2314yescomplemented
502#117×C61C2312yescomplemented
503C2×C4⋊C4×C61C2311yescharacteristic
504C2×C4⋊C4×C61C2311yescharacteristic
505C2×C4⋊C4×C61C2312yescomplemented
506C2×C4⋊C4×C61C2314yescomplemented
507C2×C4⋊C4×C61C2312yescomplemented
508C2×C4⋊C4×C61C2312yescomplemented
509C2×C22⋊C4×C61C2318yes—
510C2×C22⋊C4×C61C2312yes—
511C2×C22⋊C4×C61C2314yes—
512C2×C22⋊C4×C61C2312yes—
513C2×C22⋊C4×C61C2314yes—
514C2×C22⋊C4×C61C2314yescomplemented
515C2×C22⋊C4×C61C2318yescomplemented
516C2×C22⋊C4×C61C2318yescomplemented
517C2×C22⋊C4×C61C2318yescomplemented
518C2×C22⋊C4×C61C2318yescomplemented
519C2×C22⋊C4×C61C2318yescomplemented
520C2×C42×C61C2311yescharacteristic
521C2×C42×C61C2312yescomplemented
522C2×C42×C61C2314yescomplemented
523C2×C42×C61C2312yescomplemented
524C24×C61—48no—
525C24×C61—48no—
526C24×C61—84no—
527C24×C61C2412yes—
528C24×C61C2414yes—
529C24×C61C2412yes—
530C24×C61C2418yes—
531C24×C61C2414yes—
532C24×C61C2418yes—
533C24×C61C2418yes—
534#41×C61—28no—
535#41×C61—24no—
536#41×C61—28no—
537#41×C61—24no—
538#41×C61—48no—
539#41×C61—48no—
540#41×C61—48no—
541#41×C61—416no—
542#41×C61—44no—
543#41×C61—44no—
544#41×C61—48no—
545#41×C61—48no—
546#41×C61—48no—
547#41×C61—48no—
548#41×C61—84no—
549C2×Q8×C61—44no—
550C2×Q8×C61C2412yes—
551C2×Q8×C61C2411yescharacteristic
552C2×Q8×C61C2411yescharacteristic
553C2×Q8×C61C2412yes—
554C2×Q8×C61C2412yes—
555C2×Q8×C61C2414yes—
556C2×Q8×C61C2414yes—
557C2×D4×C61—24no—
558C2×D4×C61—216no—
559C2×D4×C61—28no—
560C2×D4×C61—24no—
561C2×D4×C61—28no—
562C2×D4×C61—48no—
563C2×D4×C61—48no—
564C2×D4×C61—48no—
565C2×D4×C61—48no—
566C2×D4×C61—44no—
567C2×D4×C61—48no—
568C2×D4×C61—44no—
569C2×D4×C61—48no—
570C2×D4×C61—48no—
571C2×D4×C61—48no—
572C2×D4×C61—48no—
573C2×D4×C61—416no—
574C2×D4×C61—416no—
575C2×D4×C61—48no—
576C2×D4×C61—48no—
577C2×D4×C61—416no—
578C2×D4×C61—416no—
579C2×D4×C61—416no—
580C2×D4×C61—82no—
581C2×D4×C61—84no—
582C2×D4×C61—88no—
583C2×D4×C61—88no—
584C2×D4×C61C2412yes—
585C2×D4×C61C2414yes—
586C2×D4×C61C2412yes—
587C2×D4×C61C2412yes—
588C2×D4×C61C2412yes—
589C2×D4×C61C2411yescharacteristic
590C2×D4×C61C2412yes—
591C2×D4×C61C2418yes—
592C2×D4×C61C2414yes—
593C2×D4×C61C2414yes—
594C2×D4×C61C2414yes—
595C2×D4×C61C2414yes—
596C2×D4×C61C2414yes—
597C2×D4×C61C2412yes—
598C2×D4×C61C2411yescharacteristic
599C2×D4×C61C2412yes—
600C2×D4×C61C2411yescharacteristic
601C2×D4×C61C2414yes—
602C2×D4×C61C2414yes—
603C2×D4×C61C2414yes—
604C2×D4×C61C2414yes—
605C2×D4×C61C2414yes—
606C2×D4×C61C2418yes—
607C2×D4×C61C2418yes—
608C2×D4×C61C2414yes—
609C2×D4×C61C2418yes—
610C2×D4×C61C2412yes—
611C2×D4×C61C2418yes—
612C2×D4×C61C2418yes—
613C2×D4×C61C2418yes—
614C2×D4×C61C2414yes—
615C2×D4×C61C2414yes—
616C2×D4×C61C2418yes—
617C2×D4×C61C2414yes—
618C2×D4×C61C2418yes—
619C2×D4×C61C2418yes—
620C2×D4×C61C2414yes—
621C2×D4×C61C2418yes—
622C2×D4×C61C2418yes—
623C2×D4×C61C2414yes—
624C2×D4×C61C2414yes—
625C2×D4×C61C2414yes—
626C2×D4×C61C2411yescharacteristic
627C22×C4×C61—28no—
628C22×C4×C61—44no—
629C22×C4×C61—48no—
630C22×C4×C61C2411yescharacteristic
631C22×C4×C61C2412yes—
632C22×C4×C61C2414yes—
633C22×C4×C61C2412yes—
634C22×C4×C61C2412yes—
635C22×C4×C61C2412yes—
636C22×C4×C61C2412yes—
637C22×C4×C61C2412yes—
638C22×C4×C61C2412yes—
639C22×C4×C61C2414yes—
640C22×C4×C61C2412yes—
641C22×C4×C61C2412yes—
642C22×C4×C61C2414yes—
643C22×C4×C61C2411yescharacteristic
644C22×C4×C61C2414yes—
645C22×C4×C61C2412yes—
646C22×C4×C61C2412yes—
647C22×C4×C61C2412yes—
648C22×C4×C61C2418yes—
649C22×C4×C61C2418yes—
650C22×C4×C61C2414yes—
651C22×C4×C61C2418yes—
652C22×C4×C61C2414yes—
653C22×C4×C61C2418yes—
654C22×C4×C61C2414yes—
655C22×C4×C61C2414yes—
656C22×C4×C61C2411yescharacteristic
657C4⋊C4×C61C2412yes—
658C4⋊C4×C61C2411yescharacteristic
659C4⋊C4×C61C2411yescharacteristic
660C4⋊C4×C61C2412yes—
661C4⋊C4×C61C2412yes—
662C4⋊C4×C61C2412yes—
663C4⋊C4×C61C2411yescharacteristic
664C4⋊C4×C61C2411yescharacteristic
665C4⋊C4×C61C2412yes—
666C4⋊C4×C61C2414yes—
667C4⋊C4×C61C2414yes—
668C4⋊C4×C61C2412yes—
669C4⋊C4×C61C2418yes—
670C4⋊C4×C61C2414yes—
671C4⋊C4×C61C2411yescharacteristic
672C4⋊C4×C61C2411yescharacteristic
673C4⋊C4×C61C2412yes—
674C4⋊C4×C61C2414yes—
675C4⋊C4×C61C2414yes—
676C4⋊C4×C61C2412yes—
677C4⋊C4×C61C2412yes—
678C4⋊C4×C61C2412yes—
679C4⋊C4×C61C2412yes—
680C4⋊C4×C61C2414yes—
681C4⋊C4×C61C2414yes—
682C4⋊C4×C61C2414yes—
683C4⋊C4×C61C2414yes—
684C4⋊C4×C61C2412yes—
685C4⋊C4×C61C2414yes—
686C4⋊C4×C61C2414yes—
687C4⋊C4×C61C2414yes—
688C4⋊C4×C61C2412yes—
689C22⋊C4×C61C2412yes—
690C22⋊C4×C61C2414yes—
691C22⋊C4×C61C2412yes—
692C22⋊C4×C61C2412yes—
693C22⋊C4×C61C2418yes—
694C22⋊C4×C61C2412yes—
695C22⋊C4×C61C2414yes—
696C22⋊C4×C61C2414yes—
697C22⋊C4×C61C2418yes—
698C22⋊C4×C61C2414yes—
699C22⋊C4×C61C2412yes—
700C22⋊C4×C61C2412yes—
701C22⋊C4×C61C2414yes—
702C22⋊C4×C61C2418yes—
703C22⋊C4×C61C2418yes—
704C22⋊C4×C61C2414yes—
705C22⋊C4×C61C2414yes—
706C22⋊C4×C61C2414yes—
707C22⋊C4×C61C2418yes—
708C22⋊C4×C61C2414yes—
709C22⋊C4×C61C2414yes—
710C22⋊C4×C61C2414yes—
711C22⋊C4×C61C2418yes—
712C22⋊C4×C61C2414yes—
713C22⋊C4×C61C2414yes—
714C22⋊C4×C61C2418yes—
715C22⋊C4×C61C2414yes—
716C22⋊C4×C61C2414yes—
717C22⋊C4×C61C2418yes—
718C22⋊C4×C61C2418yes—
719C22⋊C4×C61C2418yes—
720C22⋊C4×C61C2414yes—
721C22⋊C4×C61C2414yes—
722C22⋊C4×C61C2412yes—
723C22⋊C4×C61C2412yes—
724C22⋊C4×C61C2412yes—
725C22⋊C4×C61C2418yes—
726C22⋊C4×C61C2412yes—
727C22⋊C4×C61C2414yes—
728C22⋊C4×C61C2414yes—
729C22⋊C4×C61C2414yes—
730C22⋊C4×C61C2414yes—
731C42×C61C2411yescharacteristic
732C42×C61C2411yescharacteristic
733C42×C61C2411yescharacteristic
734C42×C61C2411yescharacteristic
735C42×C61C2412yes—
736C42×C61C2414yes—
737C42×C61C2412yes—
738C42×C61C2414yes—
739C42×C61C2414yes—
740C42×C61C2412yes—
741C42×C61C2412yes—
742C42×C61C2412yes—
743C42×C61C2412yes—
744C42×C61C2418yes—
745C23×C61—24no—
746C23×C61—24no—
747C23×C61—24no—
748C23×C61—28no—
749C23×C61—216no—
750C23×C61—28no—
751C23×C61—42no—
752C23×C61—42no—
753C23×C61—42no—
754C23×C61—44no—
755C23×C61—48no—
756C23×C61—44no—
757C23×C61—48no—
758C23×C61—48no—
759C23×C61—44no—
760C23×C61—48no—
761C23×C61—44no—
762C23×C61—48no—
763C23×C61—48no—
764C23×C61—48no—
765C23×C61—48no—
766C23×C61—832no—
767C23×C61C2512yes—
768C23×C61C2514yes—
769C23×C61C2512yes—
770C23×C61C2518yes—
771C23×C61C2514yes—
772C23×C61C2512yes—
773C23×C61C2511yescharacteristic
774C23×C61C2512yes—
775Q8×C61—22no—
776Q8×C61—24no—
777Q8×C61—22no—
778Q8×C61—24no—
779Q8×C61—44no—
780Q8×C61—44no—
781Q8×C61—42no—
782D4×C61—24no—
783D4×C61—216no—
784D4×C61—28no—
785D4×C61—24no—
786D4×C61—28no—
787D4×C61—28no—
788D4×C61—24no—
789D4×C61—24no—
790D4×C61—22no—
791D4×C61—24no—
792D4×C61—28no—
793D4×C61—28no—
794D4×C61—28no—
795D4×C61—24no—
796D4×C61—22no—
797D4×C61—24no—
798D4×C61—22no—
799D4×C61—48no—
800D4×C61—48no—
801D4×C61—44no—
802D4×C61—48no—
803D4×C61—44no—
804D4×C61—48no—
805D4×C61—44no—
806D4×C61—44no—
807D4×C61—48no—
808D4×C61—48no—
809D4×C61—48no—
810D4×C61—48no—
811D4×C61—44no—
812D4×C61—44no—
813D4×C61—44no—
814D4×C61—44no—
815D4×C61—44no—
816D4×C61—44no—
817D4×C61—44no—
818D4×C61—48no—
819D4×C61—42no—
820D4×C61—44no—
821D4×C61—48no—
822D4×C61—48no—
823D4×C61—44no—
824D4×C61H(5,𝔽2)14yescomplemented
825C2×C4×C61—24no—
826C2×C4×C61—28no—
827C2×C4×C61—24no—
828C2×C4×C61—24no—
829C2×C4×C61—24no—
830C2×C4×C61—24no—
831C2×C4×C61—22no—
832C2×C4×C61—24no—
833C2×C4×C61—28no—
834C2×C4×C61—28no—
835C2×C4×C61—24no—
836C2×C4×C61—24no—
837C2×C4×C61—24no—
838C2×C4×C61—44no—
839C2×C4×C61—42no—
840C2×C4×C61—44no—
841C2×C4×C61—44no—
842C2×C4×C61—44no—
843C2×C4×C61—48no—
844C2×C4×C61—48no—
845C2×C4×C61—48no—
846C2×C4×C61—42no—
847C2×C4×C61—44no—
848C2×C4×C61—41no—
849C2×C4×C61—48no—
850C2×C4×C61—42no—
851C2×C4×C61H(5,𝔽2)14yescomplemented
852C2×C4×C61C2511yescharacteristic
853C2×C4×C61C2514yes—
854C2×C4×C61C2511yescharacteristic
855C2×C4×C61C2512yes—
856C2×C4×C61C2512yes—
857C2×C4×C61C2512yes—
858C2×C4×C61C2512yes—
859C2×C4×C61C2512yes—
860C2×C4×C61C2512yes—
861C2×C4×C61C2514yes—
862C2×C4×C61C2514yes—
863C2×C4×C61C2514yes—
864C2×C4×C61C2512yes—
865C2×C4×C61C2511yescharacteristic
866C2×C4×C61C2512yes—
867C2×C4×C61C2511yescharacteristic
868C2×C4×C61C2511yescharacteristic
869C2×C4×C61C2511yescharacteristic
870#62912C6111yesmaximal, characteristic, direct product factor, Sylow
871C22×C61—22no—
872C22×C61—21no—
873C22×C61—22no—
874C22×C61—21no—
875C22×C61—22no—
876C22×C61—22no—
877C22×C61—24no—
878C22×C61—24no—
879C22×C61—22no—
880C22×C61—22no—
881C22×C61—22no—
882C22×C61—24no—
883C22×C61—28no—
884C22×C61—28no—
885C22×C61—22no—
886C22×C61—24no—
887C22×C61—22no—
888C22×C61—28no—
889C22×C61—22no—
890C22×C61—24no—
891C22×C61—22no—
892C22×C61—24no—
893C22×C61—48no—
894C22×C61—48no—
895C22×C61—88no—
896C22×C61—88no—
897C22×C61—816no—
898C22×C61—816no—
899C22×C61—168no—
900C22×C61C2×H(5,𝔽2)12yes—
901C22×C61C2×H(5,𝔽2)14yes—
902C22×C61C2611yescharacteristic
903C4×C61—22no—
904C4×C61—22no—
905C4×C61—22no—
906C4×C61—21no—
907C4×C61—24no—
908C4×C61—22no—
909C4×C61—24no—
910C4×C61—22no—
911C4×C61—24no—
912C4×C61—22no—
913C4×C61—22no—
914C4×C61—21no—
915C4×C61—22no—
916C4×C61—24no—
917C4×C61—21no—
918C4×C61C2×H(5,𝔽2)12yes—
919C4×C61C2×H(5,𝔽2)12yes—
920C4×C61C2×H(5,𝔽2)12yes—
921#3558C2×C6114yescomplemented
922#3549C2×C6112yescomplemented
923#3546C2×C6112yescomplemented
924#3546C2×C6112yescomplemented
925#3543C2×C6114yescomplemented
926#3543C2×C6112yescomplemented
927#3542C2×C6114yescomplemented
928#3542C2×C6114yescomplemented
929#3537C2×C6114yescomplemented
930#3532C2×C6118yescomplemented
931#3519C2×C6112yescomplemented
932#3514C2×C6112yescomplemented
933#3508C2×C6111yescharacteristic, complemented
934#3506C2×C6111yescharacteristic, complemented
935#3498C2×C6111yescharacteristic, complemented
936#3498C2×C6112yescomplemented
937#3496C2×C6112yescomplemented
938#3494C2×C6112yescomplemented
939#3488C2×C6112yescomplemented
940#3484C2×C6112yescomplemented
941#3484C2×C6114yescomplemented
942#3475C2×C6111yescharacteristic, complemented
943D4×#41C2×C6111yescharacteristic, complemented
944C2×D42C2×C6111yescharacteristic, complemented
945#3460C2×C6111yescharacteristic, complemented
946C2×#535C2×C6112yescomplemented
947C2×C61—22no—
948C2×C61—24no—
949C2×C61—42no—
950C2×C61—44no—
951C2×C61—42no—
952C2×C61—48no—
953C2×C61—44no—
954C2×C61—42no—
955C2×C61C22×H(5,𝔽2)11yescharacteristic
956C2×C61C22×H(5,𝔽2)11yescharacteristic
957C2×C61H(7,𝔽2)11yescharacteristic
958C2×H(5,𝔽2)C22×C6112yescomplemented
959C2×H(5,𝔽2)C22×C6114yescomplemented
960C22×#41C22×C6112yescomplemented
961C23×D4C22×C6112yescomplemented
962C23×D4C22×C6112yescomplemented
963#562C22×C6118yescomplemented
964H(3,𝔽4)C22×C6118yescomplemented
965#560C22×C6118yescomplemented
966#560C22×C6118yescomplemented
967#560C22×C6118yescomplemented
968#560C22×C6118yescomplemented
969#559C22×C6114yescomplemented
970#559C22×C6112yescomplemented
971#559C22×C6112yescomplemented
972#556C22×C6111yescharacteristic, complemented
973#556C22×C6112yescomplemented
974#555C22×C6111yescharacteristic, complemented
975#555C22×C6112yescomplemented
976#555C22×C6114yescomplemented
977#555C22×C6114yescomplemented
978#554C22×C6111yescharacteristic, complemented
979#553C22×C6112yescomplemented
980#553C22×C6114yescomplemented
981#553C22×C6114yescomplemented
982#553C22×C6114yescomplemented
983#553C22×C6114yescomplemented
984#552C22×C6112yescomplemented
985#552C22×C6112yescomplemented
986#551C22×C6114yescomplemented
987#551C22×C6118yescomplemented
988#551C22×C6118yescomplemented
989#550C22×C6111yescharacteristic, complemented
990#550C22×C6112yescomplemented
991#550C22×C6114yescomplemented
992#550C22×C6114yescomplemented
993#550C22×C6112yescomplemented
994#550C22×C6112yescomplemented
995#550C22×C6112yescomplemented
996#550C22×C6112yescomplemented
997D4×Q8C22×C6111yescharacteristic, complemented
998#548C22×C6112yescomplemented
999#548C22×C6114yescomplemented
1000#547C22×C6112yescomplemented
1001#547C22×C6111yescharacteristic, complemented
1002#547C22×C6112yescomplemented
1003#547C22×C6111yescharacteristic, complemented
1004#547C22×C6114yescomplemented
1005#546C22×C6112yescomplemented
1006#546C22×C6118yescomplemented
1007#546C22×C6114yescomplemented
1008#546C22×C6114yescomplemented
1009#546C22×C6114yescomplemented
1010#546C22×C6118yescomplemented
1011#546C22×C6112yescomplemented
1012#546C22×C6114yescomplemented
1013#546C22×C6118yescomplemented
1014#546C22×C6118yescomplemented
1015#546C22×C6118yescomplemented
1016#546C22×C6114yescomplemented
1017#546C22×C6114yescomplemented
1018#546C22×C6114yescomplemented
1019#546C22×C6114yescomplemented
1020#546C22×C6114yescomplemented
1021#546C22×C6114yescomplemented
1022#546C22×C6114yescomplemented
1023D42C22×C6112yescomplemented
1024D42C22×C6112yescomplemented
1025D42C22×C6114yescomplemented
1026D42C22×C6112yescomplemented
1027D42C22×C6114yescomplemented
1028D42C22×C6112yescomplemented
1029D42C22×C6112yescomplemented
1030D42C22×C6118yescomplemented
1031D42C22×C6114yescomplemented
1032D42C22×C6114yescomplemented
1033D42C22×C6111yescharacteristic, complemented
1034D42C22×C6114yescomplemented
1035D42C22×C6118yescomplemented
1036D42C22×C6118yescomplemented
1037D42C22×C6114yescomplemented
1038D42C22×C6114yescomplemented
1039D42C22×C6114yescomplemented
1040D42C22×C6114yescomplemented
1041D42C22×C6114yescomplemented
1042D42C22×C6114yescomplemented
1043D42C22×C6112yescomplemented
1044D42C22×C6112yescomplemented
1045#544C22×C6111yescharacteristic, complemented
1046#542C22×C6112yescomplemented
1047#542C22×C6112yescomplemented
1048#542C22×C6114yescomplemented
1049#542C22×C6114yescomplemented
1050#540C22×C6112yescomplemented
1051#540C22×C6112yescomplemented
1052#540C22×C6114yescomplemented
1053#540C22×C6114yescomplemented
1054#540C22×C6118yescomplemented
1055#540C22×C6114yescomplemented
1056#538C22×C6114yescomplemented
1057#538C22×C6114yescomplemented
1058#538C22×C6118yescomplemented
1059#538C22×C6118yescomplemented
1060#538C22×C6118yescomplemented
1061#538C22×C6118yescomplemented
1062#538C22×C6118yescomplemented
1063#537C22×C6111yescharacteristic, complemented
1064#537C22×C6114yescomplemented
1065#537C22×C6114yescomplemented
1066#535C22×C6111yescharacteristic, complemented
1067#535C22×C6112yescomplemented
1068#535C22×C6111yescharacteristic, complemented
1069#535C22×C6112yescomplemented
1070#535C22×C6112yescomplemented
1071#535C22×C6118yescomplemented
1072#535C22×C6118yescomplemented
1073#535C22×C6118yescomplemented
1074#535C22×C6114yescomplemented
1075#535C22×C6114yescomplemented
1076#535C22×C6114yescomplemented
1077#535C22×C6114yescomplemented
1078#535C22×C6114yescomplemented
1079#535C22×C6114yescomplemented
1080#535C22×C6114yescomplemented
1081#535C22×C6114yescomplemented
1082#535C22×C6114yescomplemented
1083#534C22×C6118yescomplemented
1084#534C22×C6118yescomplemented
1085#534C22×C6118yescomplemented
1086#534C22×C6118yescomplemented
1087#534C22×C6118yescomplemented
1088#533C22×C6111yescharacteristic, complemented
1089#532C22×C6111yescharacteristic, complemented
1090#532C22×C6112yescomplemented
1091#532C22×C6112yescomplemented
1092#532C22×C6112yescomplemented
1093#532C22×C6114yescomplemented
1094#532C22×C6112yescomplemented
1095#532C22×C6112yescomplemented
1096#532C22×C6112yescomplemented
1097C2×#127C22×C6111yescharacteristic, complemented
1098C2×#127C22×C6114yescomplemented
1099C2×#127C22×C6112yescomplemented
1100#529C22×C6114yescomplemented
1101#529C22×C6112yescomplemented
1102#529C22×C6112yescomplemented
1103#529C22×C6112yescomplemented
1104#529C22×C6114yescomplemented
1105C2×#124C22×C6114yescomplemented
1106#525C22×C6112yescomplemented
1107#525C22×C6112yescomplemented
1108#525C22×C6114yescomplemented
1109#525C22×C6114yescomplemented
1110#525C22×C6114yescomplemented
1111#525C22×C6114yescomplemented
1112C2×#121C22×C6112yescomplemented
1113C2×#121C22×C6112yescomplemented
1114C2×#121C22×C6114yescomplemented
1115C2×#121C22×C6114yescomplemented
1116C2×#121C22×C6114yescomplemented
1117C2×#120C22×C6114yescomplemented
1118C2×#120C22×C6118yescomplemented
1119C2×#120C22×C6118yescomplemented
1120#520C22×C6112yescomplemented
1121#518C22×C6112yescomplemented
1122#518C22×C6114yescomplemented
1123C4×#41C22×C6111yescharacteristic, complemented
1124C4×#41C22×C6111yescharacteristic, complemented
1125C4×#41C22×C6112yescomplemented
1126C2×C4×D4C22×C6111yescharacteristic, complemented
1127C2×C4×D4C22×C6111yescharacteristic, complemented
1128C2×C4×D4C22×C6112yescomplemented
1129C2×#117C22×C6112yescomplemented
1130C61#6291211yescharacteristic, direct product factor, Sylow
1131C25C23×C6114yes—
1132H(5,𝔽2)—416no—
1133H(5,𝔽2)—48no—
1134C2×#41—48no—
1135C2×#41C23×C6111yescharacteristic
1136C2×#41C23×C6111yescharacteristic
1137C2×#41C23×C6112yes—
1138C2×#41C23×C6112yes—
1139C2×#41C23×C6114yes—
1140C2×#41C23×C6114yescomplemented
1141C2×#41C23×C6114yescomplemented
1142C2×#41C23×C6114yescomplemented
1143C2×#41C23×C6114yescomplemented
1144C2×#41C23×C6118yescomplemented
1145C2×#41C23×C6114yescomplemented
1146C2×#41C23×C6114yescomplemented
1147C2×#41C23×C6112yescomplemented
1148C2×#41C23×C6112yescomplemented
1149C2×#41C23×C6114yescomplemented
1150C22×Q8C23×C6112yescomplemented
1151C22×D4—48no—
1152C22×D4—48no—
1153C22×D4C23×C6111yescharacteristic
1154C22×D4C23×C6112yes—
1155C22×D4C23×C6111yescharacteristic
1156C22×D4C23×C6112yes—
1157C22×D4C23×C6114yes—
1158C22×D4C23×C6114yes—
1159C22×D4C23×C6114yes—
1160C22×D4C23×C6114yes—
1161C22×D4C23×C6118yes—
1162C22×D4C23×C6114yes—
1163C22×D4C23×C6112yes—
1164C22×D4C23×C6114yes—
1165C22×D4C23×C6118yes—
1166C22×D4C23×C6114yes—
1167C22×D4C23×C6114yes—
1168C22×D4C23×C6114yes—
1169C22×D4C23×C6112yes—
1170C22×D4C23×C6118yescomplemented
1171C22×D4C23×C6118yescomplemented
1172C22×D4C23×C6118yescomplemented
1173C22×D4C23×C6114yescomplemented
1174C22×D4C23×C6112yescomplemented
1175C22×D4C23×C6114yescomplemented
1176C22×D4C23×C6114yescomplemented
1177C22×D4C23×C6118yescomplemented
1178C22×D4C23×C6118yescomplemented
1179C22×D4C23×C6114yescomplemented
1180C23×C4C23×C6112yes—
1181C23×C4C23×C6112yes—
1182C23×C4C23×C6114yescomplemented
1183C4⋊Q8C23×C6112yescomplemented
1184C4⋊Q8C23×C6111yescharacteristic, complemented
1185C4⋊Q8C23×C6111yescharacteristic, complemented
1186C4⋊Q8C23×C6111yescharacteristic, complemented
1187C4⋊Q8C23×C6112yescomplemented
1188C4⋊Q8C23×C6112yescomplemented
1189#127C23×C6112yes—
1190#127C23×C6112yes—
1191#127C23×C6112yes—
1192#127C23×C6112yes—
1193#127C23×C6114yes—
1194#127C23×C6112yes—
1195#127C23×C6112yes—
1196#127C23×C6112yes—
1197#127C23×C6114yescomplemented
1198#127C23×C6111yescharacteristic, complemented
1199#127C23×C6118yescomplemented
1200#127C23×C6114yescomplemented
1201#127C23×C6118yescomplemented
1202#127C23×C6114yescomplemented
1203#127C23×C6114yescomplemented
1204#127C23×C6118yescomplemented
1205#126C23×C6114yescomplemented
1206#126C23×C6114yescomplemented
1207#126C23×C6114yescomplemented
1208#126C23×C6114yescomplemented
1209#126C23×C6114yescomplemented
1210#126C23×C6118yescomplemented
1211#126C23×C6118yescomplemented
1212#126C23×C6118yescomplemented
1213#125C23×C6112yescomplemented
1214#125C23×C6114yescomplemented
1215#125C23×C6112yescomplemented
1216#125C23×C6112yescomplemented
1217#125C23×C6112yescomplemented
1218#124C23×C6112yes—
1219#124C23×C6114yes—
1220#124C23×C6112yes—
1221#124C23×C6112yes—
1222#124C23×C6114yescomplemented
1223#124C23×C6118yescomplemented
1224#124C23×C6114yescomplemented
1225#124C23×C6118yescomplemented
1226#124C23×C6114yescomplemented
1227#124C23×C6114yescomplemented
1228#124C23×C6112yescomplemented
1229#124C23×C6118yescomplemented
1230#124C23×C6114yescomplemented
1231#124C23×C6114yescomplemented
1232#124C23×C6114yescomplemented
1233#124C23×C6114yescomplemented
1234#124C23×C6118yescomplemented
1235#124C23×C6118yescomplemented
1236#124C23×C6118yescomplemented
1237#123C23×C6114yes—
1238#123C23×C6114yes—
1239#123C23×C6114yes—
1240#123C23×C6114yescomplemented
1241#123C23×C6114yescomplemented
1242#123C23×C6118yescomplemented
1243#123C23×C6114yescomplemented
1244#123C23×C6118yescomplemented
1245#123C23×C6114yescomplemented
1246#123C23×C6114yescomplemented
1247#123C23×C6114yescomplemented
1248#123C23×C6118yescomplemented
1249#123C23×C6114yescomplemented
1250#123C23×C6114yescomplemented
1251#123C23×C6118yescomplemented
1252#123C23×C6118yescomplemented
1253#123C23×C6118yescomplemented
1254#123C23×C6118yescomplemented
1255#123C23×C6118yescomplemented
1256#123C23×C6118yescomplemented
1257#123C23×C6118yescomplemented
1258#123C23×C6118yescomplemented
1259C22⋊Q8C23×C6112yes—
1260C22⋊Q8C23×C6114yes—
1261C22⋊Q8C23×C6112yes—
1262C22⋊Q8C23×C6112yescomplemented
1263C22⋊Q8C23×C6112yescomplemented
1264C22⋊Q8C23×C6112yescomplemented
1265C22⋊Q8C23×C6112yescomplemented
1266C22⋊Q8C23×C6114yescomplemented
1267C22⋊Q8C23×C6114yescomplemented
1268C22⋊Q8C23×C6114yescomplemented
1269C22⋊Q8C23×C6112yescomplemented
1270C22⋊Q8C23×C6114yescomplemented
1271C22⋊Q8C23×C6112yescomplemented
1272C22⋊Q8C23×C6112yescomplemented
1273C22⋊Q8C23×C6114yescomplemented
1274C22⋊Q8C23×C6118yescomplemented
1275C22⋊Q8C23×C6118yescomplemented
1276#121C23×C6114yes—
1277#121C23×C6112yes—
1278#121C23×C6112yes—
1279#121C23×C6114yes—
1280#121C23×C6114yes—
1281#121C23×C6114yes—
1282#121C23×C6114yes—
1283#121C23×C6114yes—
1284#121C23×C6114yes—
1285#121C23×C6118yes—
1286#121C23×C6114yes—
1287#121C23×C6112yes—
1288#121C23×C6114yes—
1289#121C23×C6114yes—
1290#121C23×C6114yes—
1291#121C23×C6112yes—
1292#121C23×C6112yes—
1293#121C23×C6112yes—
1294#121C23×C6112yes—
1295#121C23×C6112yes—
1296#121C23×C6112yescomplemented
1297#121C23×C6114yescomplemented
1298#121C23×C6112yescomplemented
1299#121C23×C6114yescomplemented
1300#121C23×C6118yescomplemented
1301#121C23×C6118yescomplemented
1302#121C23×C6118yescomplemented
1303#121C23×C6118yescomplemented
1304#121C23×C6114yescomplemented
1305#121C23×C6114yescomplemented
1306#121C23×C6118yescomplemented
1307#121C23×C6118yescomplemented
1308#121C23×C6112yescomplemented
1309#121C23×C6114yescomplemented
1310#121C23×C6112yescomplemented
1311#121C23×C6114yescomplemented
1312#121C23×C6112yescomplemented
1313#121C23×C6114yescomplemented
1314#121C23×C6114yescomplemented
1315#121C23×C6114yescomplemented
1316#121C23×C6118yescomplemented
1317#121C23×C6114yescomplemented
1318#121C23×C6112yescomplemented
1319#121C23×C6114yescomplemented
1320#121C23×C6114yescomplemented
1321#121C23×C6112yescomplemented
1322#121C23×C6114yescomplemented
1323#121C23×C6114yescomplemented
1324#121C23×C6118yescomplemented
1325#121C23×C6118yescomplemented
1326#121C23×C6118yescomplemented
1327#121C23×C6118yescomplemented
1328#121C23×C6118yescomplemented
1329#121C23×C6118yescomplemented
1330#121C23×C6118yescomplemented
1331#121C23×C6118yescomplemented
1332#121C23×C6118yescomplemented
1333#121C23×C6118yescomplemented
1334#121C23×C6118yescomplemented
1335#121C23×C6118yescomplemented
1336#121C23×C6118yescomplemented
1337#121C23×C6118yescomplemented
1338#120C23×C6114yes—
1339#120C23×C6118yes—
1340#120C23×C6114yes—
1341#120C23×C6114yes—
1342#120C23×C6114yes—
1343#120C23×C6118yes—
1344#120C23×C6118yes—
1345#120C23×C6118yes—
1346#120C23×C6118yes—
1347#120C23×C6118yes—
1348#120C23×C6118yes—
1349#120C23×C6114yes—
1350#120C23×C6118yescomplemented
1351#120C23×C6118yescomplemented
1352#120C23×C6118yescomplemented
1353#120C23×C6118yescomplemented
1354#120C23×C6118yescomplemented
1355#120C23×C6118yescomplemented
1356#120C23×C6118yescomplemented
1357#120C23×C6118yescomplemented
1358#120C23×C6118yescomplemented
1359#120C23×C6114yescomplemented
1360#120C23×C6118yescomplemented
1361#120C23×C6118yescomplemented
1362#120C23×C6118yescomplemented
1363#120C23×C6118yescomplemented
1364#120C23×C6118yescomplemented
1365#120C23×C6118yescomplemented
1366C4×Q8C23×C6111yescharacteristic, complemented
1367C4×Q8C23×C6111yescharacteristic, complemented
1368C4×Q8C23×C6112yescomplemented
1369C4×Q8C23×C6111yescharacteristic, complemented
1370C4×Q8C23×C6111yescharacteristic, complemented
1371C4×Q8C23×C6112yescomplemented
1372C4×Q8C23×C6114yescomplemented
1373C4×Q8C23×C6112yescomplemented
1374C4×D4C23×C6111yescharacteristic
1375C4×D4C23×C6111yescharacteristic
1376C4×D4C23×C6112yes—
1377C4×D4C23×C6112yes—
1378C4×D4C23×C6112yes—
1379C4×D4C23×C6111yescharacteristic
1380C4×D4C23×C6112yes—
1381C4×D4C23×C6112yes—
1382C4×D4C23×C6111yescharacteristic
1383C4×D4C23×C6112yes—
1384C4×D4C23×C6112yes—
1385C4×D4C23×C6112yes—
1386C4×D4C23×C6112yes—
1387C4×D4C23×C6112yes—
1388C4×D4C23×C6112yes—
1389C4×D4C23×C6112yes—
1390C4×D4C23×C6118yes—
1391C4×D4C23×C6114yescomplemented
1392C4×D4C23×C6112yescomplemented
1393C4×D4C23×C6114yescomplemented
1394C4×D4C23×C6112yescomplemented
1395C4×D4C23×C6114yescomplemented
1396C4×D4C23×C6111yescharacteristic, complemented
1397C4×D4C23×C6111yescharacteristic, complemented
1398C4×D4C23×C6114yescomplemented
1399C4×D4C23×C6111yescharacteristic, complemented
1400C4×D4C23×C6111yescharacteristic, complemented
1401C4×D4C23×C6118yescomplemented
1402C4×D4C23×C6118yescomplemented
1403C4×D4C23×C6114yescomplemented
1404C4×D4C23×C6114yescomplemented
1405C4×D4C23×C6114yescomplemented
1406C4×D4C23×C6114yescomplemented
1407C4×D4C23×C6114yescomplemented
1408C4×D4C23×C6114yescomplemented
1409C4×D4C23×C6114yescomplemented
1410C4×D4C23×C6114yescomplemented
1411C4×D4C23×C6112yescomplemented
1412C4×D4C23×C6114yescomplemented
1413C4×D4C23×C6114yescomplemented
1414C4×D4C23×C6114yescomplemented
1415C4×D4C23×C6118yescomplemented
1416C4×D4C23×C6118yescomplemented
1417C4×D4C23×C6114yescomplemented
1418C4×D4C23×C6118yescomplemented
1419C4×D4C23×C6114yescomplemented
1420#117C23×C6111yescharacteristic
1421#117C23×C6112yes—
1422#117C23×C6114yes—
1423#117C23×C6111yescharacteristic
1424#117C23×C6114yescomplemented
1425#117C23×C6112yescomplemented
1426#117C23×C6112yescomplemented
1427#117C23×C6112yescomplemented
1428#117C23×C6112yescomplemented
1429#117C23×C6114yescomplemented
1430#117C23×C6112yescomplemented
1431#117C23×C6114yescomplemented
1432#117C23×C6114yescomplemented
1433#117C23×C6114yescomplemented
1434#117C23×C6118yescomplemented
1435C2×C4⋊C4C23×C6111yescharacteristic
1436C2×C4⋊C4C23×C6111yescharacteristic
1437C2×C4⋊C4C23×C6112yescomplemented
1438C2×C4⋊C4C23×C6112yescomplemented
1439C2×C4⋊C4C23×C6112yescomplemented
1440C2×C4⋊C4C23×C6114yescomplemented
1441C2×C22⋊C4C23×C6114yes—
1442C2×C22⋊C4C23×C6112yes—
1443C2×C22⋊C4C23×C6112yes—
1444C2×C22⋊C4C23×C6118yes—
1445C2×C22⋊C4C23×C6114yes—
1446C2×C22⋊C4C23×C6114yescomplemented
1447C2×C22⋊C4C23×C6118yescomplemented
1448C2×C22⋊C4C23×C6118yescomplemented
1449C2×C22⋊C4C23×C6118yescomplemented
1450C2×C22⋊C4C23×C6118yescomplemented
1451C2×C22⋊C4C23×C6118yescomplemented
1452C2×C42C23×C6111yescharacteristic
1453C2×C42C23×C6114yescomplemented
1454C2×C42C23×C6112yescomplemented
1455C2×C42C23×C6112yescomplemented
1456C24—48no—
1457C24—48no—
1458C24—84no—
1459C24C24×C6112yes—
1460C24C24×C6114yes—
1461C24C24×C6112yes—
1462C24C24×C6118yes—
1463C24C24×C6114yes—
1464C24C24×C6118yes—
1465C24C24×C6118yes—
1466#41—28no—
1467#41—24no—
1468#41—28no—
1469#41—24no—
1470#41—48no—
1471#41—48no—
1472#41—48no—
1473#41—416no—
1474#41—44no—
1475#41—44no—
1476#41—48no—
1477#41—48no—
1478#41—48no—
1479#41—48no—
1480#41—84no—
1481C2×Q8—44no—
1482C2×Q8C24×C6112yes—
1483C2×Q8C24×C6111yescharacteristic
1484C2×Q8C24×C6111yescharacteristic
1485C2×Q8C24×C6112yes—
1486C2×Q8C24×C6112yes—
1487C2×Q8C24×C6114yes—
1488C2×Q8C24×C6114yes—
1489C2×D4—24no—
1490C2×D4—216no—
1491C2×D4—28no—
1492C2×D4—24no—
1493C2×D4—28no—
1494C2×D4—48no—
1495C2×D4—48no—
1496C2×D4—48no—
1497C2×D4—48no—
1498C2×D4—44no—
1499C2×D4—48no—
1500C2×D4—44no—
1501C2×D4—48no—
1502C2×D4—48no—
1503C2×D4—48no—
1504C2×D4—48no—
1505C2×D4—416no—
1506C2×D4—416no—
1507C2×D4—48no—
1508C2×D4—48no—
1509C2×D4—416no—
1510C2×D4—416no—
1511C2×D4—416no—
1512C2×D4—82no—
1513C2×D4—84no—
1514C2×D4—88no—
1515C2×D4—88no—
1516C2×D4C24×C6112yes—
1517C2×D4C24×C6114yes—
1518C2×D4C24×C6112yes—
1519C2×D4C24×C6112yes—
1520C2×D4C24×C6112yes—
1521C2×D4C24×C6111yescharacteristic
1522C2×D4C24×C6112yes—
1523C2×D4C24×C6118yes—
1524C2×D4C24×C6114yes—
1525C2×D4C24×C6114yes—
1526C2×D4C24×C6114yes—
1527C2×D4C24×C6114yes—
1528C2×D4C24×C6114yes—
1529C2×D4C24×C6112yes—
1530C2×D4C24×C6111yescharacteristic
1531C2×D4C24×C6112yes—
1532C2×D4C24×C6111yescharacteristic
1533C2×D4C24×C6114yes—
1534C2×D4C24×C6114yes—
1535C2×D4C24×C6114yes—
1536C2×D4C24×C6114yes—
1537C2×D4C24×C6114yes—
1538C2×D4C24×C6118yes—
1539C2×D4C24×C6118yes—
1540C2×D4C24×C6114yes—
1541C2×D4C24×C6118yes—
1542C2×D4C24×C6112yes—
1543C2×D4C24×C6118yes—
1544C2×D4C24×C6118yes—
1545C2×D4C24×C6118yes—
1546C2×D4C24×C6114yes—
1547C2×D4C24×C6114yes—
1548C2×D4C24×C6118yes—
1549C2×D4C24×C6114yes—
1550C2×D4C24×C6118yes—
1551C2×D4C24×C6118yes—
1552C2×D4C24×C6114yes—
1553C2×D4C24×C6118yes—
1554C2×D4C24×C6118yes—
1555C2×D4C24×C6114yes—
1556C2×D4C24×C6114yes—
1557C2×D4C24×C6114yes—
1558C2×D4C24×C6111yescharacteristic
1559C22×C4—28no—
1560C22×C4—44no—
1561C22×C4—48no—
1562C22×C4C24×C6111yescharacteristic
1563C22×C4C24×C6112yes—
1564C22×C4C24×C6114yes—
1565C22×C4C24×C6112yes—
1566C22×C4C24×C6112yes—
1567C22×C4C24×C6112yes—
1568C22×C4C24×C6112yes—
1569C22×C4C24×C6112yes—
1570C22×C4C24×C6112yes—
1571C22×C4C24×C6114yes—
1572C22×C4C24×C6112yes—
1573C22×C4C24×C6112yes—
1574C22×C4C24×C6114yes—
1575C22×C4C24×C6111yescharacteristic
1576C22×C4C24×C6114yes—
1577C22×C4C24×C6112yes—
1578C22×C4C24×C6112yes—
1579C22×C4C24×C6112yes—
1580C22×C4C24×C6118yes—
1581C22×C4C24×C6118yes—
1582C22×C4C24×C6114yes—
1583C22×C4C24×C6118yes—
1584C22×C4C24×C6114yes—
1585C22×C4C24×C6118yes—
1586C22×C4C24×C6114yes—
1587C22×C4C24×C6114yes—
1588C22×C4C24×C6111yescharacteristic
1589C4⋊C4C24×C6112yes—
1590C4⋊C4C24×C6111yescharacteristic
1591C4⋊C4C24×C6111yescharacteristic
1592C4⋊C4C24×C6112yes—
1593C4⋊C4C24×C6112yes—
1594C4⋊C4C24×C6112yes—
1595C4⋊C4C24×C6111yescharacteristic
1596C4⋊C4C24×C6111yescharacteristic
1597C4⋊C4C24×C6112yes—
1598C4⋊C4C24×C6114yes—
1599C4⋊C4C24×C6114yes—
1600C4⋊C4C24×C6112yes—
1601C4⋊C4C24×C6118yes—
1602C4⋊C4C24×C6114yes—
1603C4⋊C4C24×C6111yescharacteristic
1604C4⋊C4C24×C6111yescharacteristic
1605C4⋊C4C24×C6112yes—
1606C4⋊C4C24×C6114yes—
1607C4⋊C4C24×C6114yes—
1608C4⋊C4C24×C6112yes—
1609C4⋊C4C24×C6112yes—
1610C4⋊C4C24×C6112yes—
1611C4⋊C4C24×C6112yes—
1612C4⋊C4C24×C6114yes—
1613C4⋊C4C24×C6114yes—
1614C4⋊C4C24×C6114yes—
1615C4⋊C4C24×C6114yes—
1616C4⋊C4C24×C6112yes—
1617C4⋊C4C24×C6114yes—
1618C4⋊C4C24×C6114yes—
1619C4⋊C4C24×C6114yes—
1620C4⋊C4C24×C6112yes—
1621C22⋊C4C24×C6112yes—
1622C22⋊C4C24×C6114yes—
1623C22⋊C4C24×C6112yes—
1624C22⋊C4C24×C6112yes—
1625C22⋊C4C24×C6118yes—
1626C22⋊C4C24×C6112yes—
1627C22⋊C4C24×C6114yes—
1628C22⋊C4C24×C6114yes—
1629C22⋊C4C24×C6118yes—
1630C22⋊C4C24×C6114yes—
1631C22⋊C4C24×C6112yes—
1632C22⋊C4C24×C6112yes—
1633C22⋊C4C24×C6114yes—
1634C22⋊C4C24×C6118yes—
1635C22⋊C4C24×C6118yes—
1636C22⋊C4C24×C6114yes—
1637C22⋊C4C24×C6114yes—
1638C22⋊C4C24×C6114yes—
1639C22⋊C4C24×C6118yes—
1640C22⋊C4C24×C6114yes—
1641C22⋊C4C24×C6114yes—
1642C22⋊C4C24×C6118yes—
1643C22⋊C4C24×C6114yes—
1644C22⋊C4C24×C6114yes—
1645C22⋊C4C24×C6114yes—
1646C22⋊C4C24×C6118yes—
1647C22⋊C4C24×C6114yes—
1648C22⋊C4C24×C6114yes—
1649C22⋊C4C24×C6118yes—
1650C22⋊C4C24×C6118yes—
1651C22⋊C4C24×C6118yes—
1652C22⋊C4C24×C6114yes—
1653C22⋊C4C24×C6114yes—
1654C22⋊C4C24×C6112yes—
1655C22⋊C4C24×C6112yes—
1656C22⋊C4C24×C6112yes—
1657C22⋊C4C24×C6118yes—
1658C22⋊C4C24×C6112yes—
1659C22⋊C4C24×C6114yes—
1660C22⋊C4C24×C6114yes—
1661C22⋊C4C24×C6114yes—
1662C22⋊C4C24×C6114yes—
1663C42C24×C6111yescharacteristic
1664C42C24×C6111yescharacteristic
1665C42C24×C6111yescharacteristic
1666C42C24×C6111yescharacteristic
1667C42C24×C6112yes—
1668C42C24×C6114yes—
1669C42C24×C6112yes—
1670C42C24×C6114yes—
1671C42C24×C6114yes—
1672C42C24×C6112yes—
1673C42C24×C6112yes—
1674C42C24×C6112yes—
1675C42C24×C6112yes—
1676C42C24×C6118yes—
1677C23—24no—
1678C23—24no—
1679C23—24no—
1680C23—28no—
1681C23—216no—
1682C23—28no—
1683C23—42no—
1684C23—42no—
1685C23—42no—
1686C23—44no—
1687C23—48no—
1688C23—44no—
1689C23—48no—
1690C23—48no—
1691C23—44no—
1692C23—48no—
1693C23—44no—
1694C23—48no—
1695C23—48no—
1696C23—48no—
1697C23—48no—
1698C23—832no—
1699C23C25×C6112yes—
1700C23C25×C6114yes—
1701C23C25×C6112yes—
1702C23C25×C6118yes—
1703C23C25×C6114yes—
1704C23C25×C6112yes—
1705C23C25×C6111yescharacteristic
1706C23C25×C6112yes—
1707Q8—22no—
1708Q8—24no—
1709Q8—22no—
1710Q8—24no—
1711Q8—44no—
1712Q8—44no—
1713Q8—42no—
1714D4—24no—
1715D4—216no—
1716D4—28no—
1717D4—24no—
1718D4—28no—
1719D4—28no—
1720D4—24no—
1721D4—24no—
1722D4—22no—
1723D4—24no—
1724D4—28no—
1725D4—28no—
1726D4—28no—
1727D4—24no—
1728D4—22no—
1729D4—24no—
1730D4—22no—
1731D4—48no—
1732D4—48no—
1733D4—44no—
1734D4—48no—
1735D4—44no—
1736D4—48no—
1737D4—44no—
1738D4—44no—
1739D4—48no—
1740D4—48no—
1741D4—48no—
1742D4—48no—
1743D4—44no—
1744D4—44no—
1745D4—44no—
1746D4—44no—
1747D4—44no—
1748D4—44no—
1749D4—44no—
1750D4—48no—
1751D4—42no—
1752D4—44no—
1753D4—48no—
1754D4—48no—
1755D4—44no—
1756D4H(5,𝔽2)×C6114yescomplemented
1757C2×C4—24no—
1758C2×C4—28no—
1759C2×C4—24no—
1760C2×C4—24no—
1761C2×C4—24no—
1762C2×C4—24no—
1763C2×C4—22no—
1764C2×C4—24no—
1765C2×C4—28no—
1766C2×C4—28no—
1767C2×C4—24no—
1768C2×C4—24no—
1769C2×C4—24no—
1770C2×C4—44no—
1771C2×C4—42no—
1772C2×C4—44no—
1773C2×C4—44no—
1774C2×C4—44no—
1775C2×C4—48no—
1776C2×C4—48no—
1777C2×C4—48no—
1778C2×C4—42no—
1779C2×C4—44no—
1780C2×C4—41no—
1781C2×C4—48no—
1782C2×C4—42no—
1783C2×C4H(5,𝔽2)×C6114yescomplemented
1784C2×C4C25×C6111yescharacteristic
1785C2×C4C25×C6114yes—
1786C2×C4C25×C6111yescharacteristic
1787C2×C4C25×C6112yes—
1788C2×C4C25×C6112yes—
1789C2×C4C25×C6112yes—
1790C2×C4C25×C6112yes—
1791C2×C4C25×C6112yes—
1792C2×C4C25×C6112yes—
1793C2×C4C25×C6114yes—
1794C2×C4C25×C6114yes—
1795C2×C4C25×C6114yes—
1796C2×C4C25×C6112yes—
1797C2×C4C25×C6111yescharacteristic
1798C2×C4C25×C6112yes—
1799C2×C4C25×C6111yescharacteristic
1800C2×C4C25×C6111yescharacteristic
1801C2×C4C25×C6111yescharacteristic
1802C22—22no—
1803C22—21no—
1804C22—22no—
1805C22—21no—
1806C22—22no—
1807C22—22no—
1808C22—24no—
1809C22—24no—
1810C22—22no—
1811C22—22no—
1812C22—22no—
1813C22—24no—
1814C22—28no—
1815C22—28no—
1816C22—22no—
1817C22—24no—
1818C22—22no—
1819C22—28no—
1820C22—22no—
1821C22—24no—
1822C22—22no—
1823C22—24no—
1824C22—48no—
1825C22—48no—
1826C22—88no—
1827C22—88no—
1828C22—816no—
1829C22—816no—
1830C22—168no—
1831C22C2×H(5,𝔽2)×C6112yes—
1832C22C2×H(5,𝔽2)×C6114yes—
1833C22C26×C6111yescharacteristic
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—21no—
1838C4—24no—
1839C4—22no—
1840C4—24no—
1841C4—22no—
1842C4—24no—
1843C4—22no—
1844C4—22no—
1845C4—21no—
1846C4—22no—
1847C4—24no—
1848C4—21no—
1849C4C2×H(5,𝔽2)×C6112yes—
1850C4C2×H(5,𝔽2)×C6112yes—
1851C4C2×H(5,𝔽2)×C6112yes—
1852C2—22no—
1853C2—24no—
1854C2—42no—
1855C2—44no—
1856C2—48no—
1857C2—42no—
1858C2—44no—
1859C2—42no—
1860C2C22×H(5,𝔽2)×C6111yescharacteristic
1861C2C22×H(5,𝔽2)×C6111yescharacteristic
1862C2C61×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×#3549C2semidirect
3. C61×#3546C2semidirect
4. C61×#3546C2semidirect
5. C61×#3543C2semidirect
6. C61×#3543C2semidirect
7. C61×#3542C2semidirect
8. C61×#3542C2semidirect
9. C61×#3537C2semidirect
10. C61×#3532C2semidirect
11. C61×#3519C2semidirect
12. C61×#3514C2semidirect
13. C61×#3508C2semidirect
14. C61×#3506C2semidirect
15. C61×#3498C2semidirect
16. C61×#3498C2semidirect
17. C61×#3496C2semidirect
18. C61×#3494C2semidirect
19. C61×#3488C2semidirect
20. C61×#3484C2semidirect
21. C61×#3484C2semidirect
22. C61×#3475C2semidirect
23. D4×#41×C61C2semidirect
24. C2×D42×C61C2semidirect
25. C61×#3460C2semidirect
26. C2×C61×#535C2semidirect
27. C2×H(5,𝔽2)×C61C22semidirect
28. C2×H(5,𝔽2)×C61C22semidirect
29. C22×#41×C61C22semidirect
30. C23×D4×C61C22semidirect
31. C23×D4×C61C22semidirect
32. C61×#562C22semidirect
33. C61×H(3,𝔽4)C22semidirect
34. C61×#560C22semidirect
35. C61×#560C22semidirect
36. C61×#560C22semidirect
37. C61×#560C22semidirect
38. C61×#559C22semidirect
39. C61×#559C22semidirect
40. C61×#559C22semidirect
41. C61×#556C22semidirect
42. C61×#556C22semidirect
43. C61×#555C22semidirect
44. C61×#555C22semidirect
45. C61×#555C22semidirect
46. C61×#555C22semidirect
47. C61×#554C22semidirect
48. C61×#553C22semidirect
49. C61×#553C22semidirect
50. C61×#553C22semidirect
51. C61×#553C22semidirect
52. C61×#553C22semidirect
53. C61×#552C22semidirect
54. C61×#552C22semidirect
55. C61×#551C22semidirect
56. C61×#551C22semidirect
57. C61×#551C22semidirect
58. C61×#550C22semidirect
59. C61×#550C22semidirect
60. C61×#550C22semidirect
61. C61×#550C22semidirect
62. C61×#550C22semidirect
63. C61×#550C22semidirect
64. C61×#550C22semidirect
65. C61×#550C22semidirect
66. D4×Q8×C61C22semidirect
67. C61×#548C22semidirect
68. C61×#548C22semidirect
69. C61×#547C22semidirect
70. C61×#547C22semidirect
71. C61×#547C22semidirect
72. C61×#547C22semidirect
73. C61×#547C22semidirect
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. C61×#546C22semidirect
86. C61×#546C22semidirect
87. C61×#546C22semidirect
88. C61×#546C22semidirect
89. C61×#546C22semidirect
90. C61×#546C22semidirect
91. C61×#546C22semidirect
92. D42×C61C22semidirect
93. D42×C61C22semidirect
94. D42×C61C22semidirect
95. D42×C61C22semidirect
96. D42×C61C22semidirect
97. D42×C61C22semidirect
98. D42×C61C22semidirect
99. D42×C61C22semidirect
100. D42×C61C22semidirect
101. D42×C61C22semidirect
102. D42×C61C22semidirect
103. D42×C61C22semidirect
104. D42×C61C22semidirect
105. D42×C61C22semidirect
106. D42×C61C22semidirect
107. D42×C61C22semidirect
108. D42×C61C22semidirect
109. D42×C61C22semidirect
110. D42×C61C22semidirect
111. D42×C61C22semidirect
112. D42×C61C22semidirect
113. D42×C61C22semidirect
114. C61×#544C22semidirect
115. C61×#542C22semidirect
116. C61×#542C22semidirect
117. C61×#542C22semidirect
118. C61×#542C22semidirect
119. C61×#540C22semidirect
120. C61×#540C22semidirect
121. C61×#540C22semidirect
122. C61×#540C22semidirect
123. C61×#540C22semidirect
124. C61×#540C22semidirect
125. C61×#538C22semidirect
126. C61×#538C22semidirect
127. C61×#538C22semidirect
128. C61×#538C22semidirect
129. C61×#538C22semidirect
130. C61×#538C22semidirect
131. C61×#538C22semidirect
132. C61×#537C22semidirect
133. C61×#537C22semidirect
134. C61×#537C22semidirect
135. C61×#535C22semidirect
136. C61×#535C22semidirect
137. C61×#535C22semidirect
138. C61×#535C22semidirect
139. C61×#535C22semidirect
140. C61×#535C22semidirect
141. C61×#535C22semidirect
142. C61×#535C22semidirect
143. C61×#535C22semidirect
144. C61×#535C22semidirect
145. C61×#535C22semidirect
146. C61×#535C22semidirect
147. C61×#535C22semidirect
148. C61×#535C22semidirect
149. C61×#535C22semidirect
150. C61×#535C22semidirect
151. C61×#535C22semidirect
152. C61×#534C22semidirect
153. C61×#534C22semidirect
154. C61×#534C22semidirect
155. C61×#534C22semidirect
156. C61×#534C22semidirect
157. C61×#533C22semidirect
158. C61×#532C22semidirect
159. C61×#532C22semidirect
160. C61×#532C22semidirect
161. C61×#532C22semidirect
162. C61×#532C22semidirect
163. C61×#532C22semidirect
164. C61×#532C22semidirect
165. C61×#532C22semidirect
166. C2×#127×C61C22semidirect
167. C2×#127×C61C22semidirect
168. C2×#127×C61C22semidirect
169. C61×#529C22semidirect
170. C61×#529C22semidirect
171. C61×#529C22semidirect
172. C61×#529C22semidirect
173. C61×#529C22semidirect
174. C2×#124×C61C22semidirect
175. C61×#525C22semidirect
176. C61×#525C22semidirect
177. C61×#525C22semidirect
178. C61×#525C22semidirect
179. C61×#525C22semidirect
180. C61×#525C22semidirect
181. C2×#121×C61C22semidirect
182. C2×#121×C61C22semidirect
183. C2×#121×C61C22semidirect
184. C2×#121×C61C22semidirect
185. C2×#121×C61C22semidirect
186. C2×#120×C61C22semidirect
187. C2×#120×C61C22semidirect
188. C2×#120×C61C22semidirect
189. C61×#520C22semidirect
190. C61×#518C22semidirect
191. C61×#518C22semidirect
192. C4×#41×C61C22semidirect
193. C4×#41×C61C22semidirect
194. C4×#41×C61C22semidirect
195. C2×C4×D4×C61C22semidirect
196. C2×C4×D4×C61C22semidirect
197. C2×C4×D4×C61C22semidirect
198. C2×#117×C61C22semidirect
208. C2×#41×C61C23semidirect
209. C2×#41×C61C23semidirect
210. C2×#41×C61C23semidirect
211. C2×#41×C61C23semidirect
212. C2×#41×C61C23semidirect
213. C2×#41×C61C23semidirect
214. C2×#41×C61C23semidirect
215. C2×#41×C61C23semidirect
216. C2×#41×C61C23semidirect
217. C2×#41×C61C23semidirect
218. C22×Q8×C61C23semidirect
238. C22×D4×C61C23semidirect
239. C22×D4×C61C23semidirect
240. C22×D4×C61C23semidirect
241. C22×D4×C61C23semidirect
242. C22×D4×C61C23semidirect
243. C22×D4×C61C23semidirect
244. C22×D4×C61C23semidirect
245. C22×D4×C61C23semidirect
246. C22×D4×C61C23semidirect
247. C22×D4×C61C23semidirect
250. C23×C4×C61C23semidirect
251. C4⋊Q8×C61C23semidirect
252. C4⋊Q8×C61C23semidirect
253. C4⋊Q8×C61C23semidirect
254. C4⋊Q8×C61C23semidirect
255. C4⋊Q8×C61C23semidirect
256. C4⋊Q8×C61C23semidirect
265. #127×C61C23semidirect
266. #127×C61C23semidirect
267. #127×C61C23semidirect
268. #127×C61C23semidirect
269. #127×C61C23semidirect
270. #127×C61C23semidirect
271. #127×C61C23semidirect
272. #127×C61C23semidirect
273. #126×C61C23semidirect
274. #126×C61C23semidirect
275. #126×C61C23semidirect
276. #126×C61C23semidirect
277. #126×C61C23semidirect
278. #126×C61C23semidirect
279. #126×C61C23semidirect
280. #126×C61C23semidirect
281. #125×C61C23semidirect
282. #125×C61C23semidirect
283. #125×C61C23semidirect
284. #125×C61C23semidirect
285. #125×C61C23semidirect
290. #124×C61C23semidirect
291. #124×C61C23semidirect
292. #124×C61C23semidirect
293. #124×C61C23semidirect
294. #124×C61C23semidirect
295. #124×C61C23semidirect
296. #124×C61C23semidirect
297. #124×C61C23semidirect
298. #124×C61C23semidirect
299. #124×C61C23semidirect
300. #124×C61C23semidirect
301. #124×C61C23semidirect
302. #124×C61C23semidirect
303. #124×C61C23semidirect
304. #124×C61C23semidirect
308. #123×C61C23semidirect
309. #123×C61C23semidirect
310. #123×C61C23semidirect
311. #123×C61C23semidirect
312. #123×C61C23semidirect
313. #123×C61C23semidirect
314. #123×C61C23semidirect
315. #123×C61C23semidirect
316. #123×C61C23semidirect
317. #123×C61C23semidirect
318. #123×C61C23semidirect
319. #123×C61C23semidirect
320. #123×C61C23semidirect
321. #123×C61C23semidirect
322. #123×C61C23semidirect
323. #123×C61C23semidirect
324. #123×C61C23semidirect
325. #123×C61C23semidirect
326. #123×C61C23semidirect
330. C22⋊Q8×C61C23semidirect
331. C22⋊Q8×C61C23semidirect
332. C22⋊Q8×C61C23semidirect
333. C22⋊Q8×C61C23semidirect
334. C22⋊Q8×C61C23semidirect
335. C22⋊Q8×C61C23semidirect
336. C22⋊Q8×C61C23semidirect
337. C22⋊Q8×C61C23semidirect
338. C22⋊Q8×C61C23semidirect
339. C22⋊Q8×C61C23semidirect
340. C22⋊Q8×C61C23semidirect
341. C22⋊Q8×C61C23semidirect
342. C22⋊Q8×C61C23semidirect
343. C22⋊Q8×C61C23semidirect
364. #121×C61C23semidirect
365. #121×C61C23semidirect
366. #121×C61C23semidirect
367. #121×C61C23semidirect
368. #121×C61C23semidirect
369. #121×C61C23semidirect
370. #121×C61C23semidirect
371. #121×C61C23semidirect
372. #121×C61C23semidirect
373. #121×C61C23semidirect
374. #121×C61C23semidirect
375. #121×C61C23semidirect
376. #121×C61C23semidirect
377. #121×C61C23semidirect
378. #121×C61C23semidirect
379. #121×C61C23semidirect
380. #121×C61C23semidirect
381. #121×C61C23semidirect
382. #121×C61C23semidirect
383. #121×C61C23semidirect
384. #121×C61C23semidirect
385. #121×C61C23semidirect
386. #121×C61C23semidirect
387. #121×C61C23semidirect
388. #121×C61C23semidirect
389. #121×C61C23semidirect
390. #121×C61C23semidirect
391. #121×C61C23semidirect
392. #121×C61C23semidirect
393. #121×C61C23semidirect
394. #121×C61C23semidirect
395. #121×C61C23semidirect
396. #121×C61C23semidirect
397. #121×C61C23semidirect
398. #121×C61C23semidirect
399. #121×C61C23semidirect
400. #121×C61C23semidirect
401. #121×C61C23semidirect
402. #121×C61C23semidirect
403. #121×C61C23semidirect
404. #121×C61C23semidirect
405. #121×C61C23semidirect
418. #120×C61C23semidirect
419. #120×C61C23semidirect
420. #120×C61C23semidirect
421. #120×C61C23semidirect
422. #120×C61C23semidirect
423. #120×C61C23semidirect
424. #120×C61C23semidirect
425. #120×C61C23semidirect
426. #120×C61C23semidirect
427. #120×C61C23semidirect
428. #120×C61C23semidirect
429. #120×C61C23semidirect
430. #120×C61C23semidirect
431. #120×C61C23semidirect
432. #120×C61C23semidirect
433. #120×C61C23semidirect
434. C4×Q8×C61C23semidirect
435. C4×Q8×C61C23semidirect
436. C4×Q8×C61C23semidirect
437. C4×Q8×C61C23semidirect
438. C4×Q8×C61C23semidirect
439. C4×Q8×C61C23semidirect
440. C4×Q8×C61C23semidirect
441. C4×Q8×C61C23semidirect
459. C4×D4×C61C23semidirect
460. C4×D4×C61C23semidirect
461. C4×D4×C61C23semidirect
462. C4×D4×C61C23semidirect
463. C4×D4×C61C23semidirect
464. C4×D4×C61C23semidirect
465. C4×D4×C61C23semidirect
466. C4×D4×C61C23semidirect
467. C4×D4×C61C23semidirect
468. C4×D4×C61C23semidirect
469. C4×D4×C61C23semidirect
470. C4×D4×C61C23semidirect
471. C4×D4×C61C23semidirect
472. C4×D4×C61C23semidirect
473. C4×D4×C61C23semidirect
474. C4×D4×C61C23semidirect
475. C4×D4×C61C23semidirect
476. C4×D4×C61C23semidirect
477. C4×D4×C61C23semidirect
478. C4×D4×C61C23semidirect
479. C4×D4×C61C23semidirect
480. C4×D4×C61C23semidirect
481. C4×D4×C61C23semidirect
482. C4×D4×C61C23semidirect
483. C4×D4×C61C23semidirect
484. C4×D4×C61C23semidirect
485. C4×D4×C61C23semidirect
486. C4×D4×C61C23semidirect
487. C4×D4×C61C23semidirect
492. #117×C61C23semidirect
493. #117×C61C23semidirect
494. #117×C61C23semidirect
495. #117×C61C23semidirect
496. #117×C61C23semidirect
497. #117×C61C23semidirect
498. #117×C61C23semidirect
499. #117×C61C23semidirect
500. #117×C61C23semidirect
501. #117×C61C23semidirect
502. #117×C61C23semidirect
505. C2×C4⋊C4×C61C23semidirect
506. C2×C4⋊C4×C61C23semidirect
507. C2×C4⋊C4×C61C23semidirect
508. C2×C4⋊C4×C61C23semidirect
514. C2×C22⋊C4×C61C23semidirect
515. C2×C22⋊C4×C61C23semidirect
516. C2×C22⋊C4×C61C23semidirect
517. C2×C22⋊C4×C61C23semidirect
518. C2×C22⋊C4×C61C23semidirect
519. C2×C22⋊C4×C61C23semidirect
521. C2×C42×C61C23semidirect
522. C2×C42×C61C23semidirect
523. C2×C42×C61C23semidirect
824. D4×C61H(5,𝔽2)semidirect
851. C2×C4×C61H(5,𝔽2)semidirect
870. #62912C61direct (N × H)
921. #3558C2×C61semidirect
922. #3549C2×C61semidirect
923. #3546C2×C61semidirect
924. #3546C2×C61semidirect
925. #3543C2×C61semidirect
926. #3543C2×C61semidirect
927. #3542C2×C61semidirect
928. #3542C2×C61semidirect
929. #3537C2×C61semidirect
930. #3532C2×C61semidirect
931. #3519C2×C61semidirect
932. #3514C2×C61semidirect
933. #3508C2×C61semidirect
934. #3506C2×C61semidirect
935. #3498C2×C61semidirect
936. #3498C2×C61semidirect
937. #3496C2×C61semidirect
938. #3494C2×C61semidirect
939. #3488C2×C61semidirect
940. #3484C2×C61semidirect
941. #3484C2×C61semidirect
942. #3475C2×C61semidirect
943. D4×#41C2×C61semidirect
944. C2×D42C2×C61semidirect
945. #3460C2×C61semidirect
946. C2×#535C2×C61semidirect
958. C2×H(5,𝔽2)C22×C61semidirect
959. C2×H(5,𝔽2)C22×C61semidirect
960. C22×#41C22×C61semidirect
961. C23×D4C22×C61semidirect
962. C23×D4C22×C61semidirect
963. #562C22×C61semidirect
964. H(3,𝔽4)C22×C61semidirect
965. #560C22×C61semidirect
966. #560C22×C61semidirect
967. #560C22×C61semidirect
968. #560C22×C61semidirect
969. #559C22×C61semidirect
970. #559C22×C61semidirect
971. #559C22×C61semidirect
972. #556C22×C61semidirect
973. #556C22×C61semidirect
974. #555C22×C61semidirect
975. #555C22×C61semidirect
976. #555C22×C61semidirect
977. #555C22×C61semidirect
978. #554C22×C61semidirect
979. #553C22×C61semidirect
980. #553C22×C61semidirect
981. #553C22×C61semidirect
982. #553C22×C61semidirect
983. #553C22×C61semidirect
984. #552C22×C61semidirect
985. #552C22×C61semidirect
986. #551C22×C61semidirect
987. #551C22×C61semidirect
988. #551C22×C61semidirect
989. #550C22×C61semidirect
990. #550C22×C61semidirect
991. #550C22×C61semidirect
992. #550C22×C61semidirect
993. #550C22×C61semidirect
994. #550C22×C61semidirect
995. #550C22×C61semidirect
996. #550C22×C61semidirect
997. D4×Q8C22×C61semidirect
998. #548C22×C61semidirect
999. #548C22×C61semidirect
1000. #547C22×C61semidirect
1001. #547C22×C61semidirect
1002. #547C22×C61semidirect
1003. #547C22×C61semidirect
1004. #547C22×C61semidirect
1005. #546C22×C61semidirect
1006. #546C22×C61semidirect
1007. #546C22×C61semidirect
1008. #546C22×C61semidirect
1009. #546C22×C61semidirect
1010. #546C22×C61semidirect
1011. #546C22×C61semidirect
1012. #546C22×C61semidirect
1013. #546C22×C61semidirect
1014. #546C22×C61semidirect
1015. #546C22×C61semidirect
1016. #546C22×C61semidirect
1017. #546C22×C61semidirect
1018. #546C22×C61semidirect
1019. #546C22×C61semidirect
1020. #546C22×C61semidirect
1021. #546C22×C61semidirect
1022. #546C22×C61semidirect
1023. D42C22×C61semidirect
1024. D42C22×C61semidirect
1025. D42C22×C61semidirect
1026. D42C22×C61semidirect
1027. D42C22×C61semidirect
1028. D42C22×C61semidirect
1029. D42C22×C61semidirect
1030. D42C22×C61semidirect
1031. D42C22×C61semidirect
1032. D42C22×C61semidirect
1033. D42C22×C61semidirect
1034. D42C22×C61semidirect
1035. D42C22×C61semidirect
1036. D42C22×C61semidirect
1037. D42C22×C61semidirect
1038. D42C22×C61semidirect
1039. D42C22×C61semidirect
1040. D42C22×C61semidirect
1041. D42C22×C61semidirect
1042. D42C22×C61semidirect
1043. D42C22×C61semidirect
1044. D42C22×C61semidirect
1045. #544C22×C61semidirect
1046. #542C22×C61semidirect
1047. #542C22×C61semidirect
1048. #542C22×C61semidirect
1049. #542C22×C61semidirect
1050. #540C22×C61semidirect
1051. #540C22×C61semidirect
1052. #540C22×C61semidirect
1053. #540C22×C61semidirect
1054. #540C22×C61semidirect
1055. #540C22×C61semidirect
1056. #538C22×C61semidirect
1057. #538C22×C61semidirect
1058. #538C22×C61semidirect
1059. #538C22×C61semidirect
1060. #538C22×C61semidirect
1061. #538C22×C61semidirect
1062. #538C22×C61semidirect
1063. #537C22×C61semidirect
1064. #537C22×C61semidirect
1065. #537C22×C61semidirect
1066. #535C22×C61semidirect
1067. #535C22×C61semidirect
1068. #535C22×C61semidirect
1069. #535C22×C61semidirect
1070. #535C22×C61semidirect
1071. #535C22×C61semidirect
1072. #535C22×C61semidirect
1073. #535C22×C61semidirect
1074. #535C22×C61semidirect
1075. #535C22×C61semidirect
1076. #535C22×C61semidirect
1077. #535C22×C61semidirect
1078. #535C22×C61semidirect
1079. #535C22×C61semidirect
1080. #535C22×C61semidirect
1081. #535C22×C61semidirect
1082. #535C22×C61semidirect
1083. #534C22×C61semidirect
1084. #534C22×C61semidirect
1085. #534C22×C61semidirect
1086. #534C22×C61semidirect
1087. #534C22×C61semidirect
1088. #533C22×C61semidirect
1089. #532C22×C61semidirect
1090. #532C22×C61semidirect
1091. #532C22×C61semidirect
1092. #532C22×C61semidirect
1093. #532C22×C61semidirect
1094. #532C22×C61semidirect
1095. #532C22×C61semidirect
1096. #532C22×C61semidirect
1097. C2×#127C22×C61semidirect
1098. C2×#127C22×C61semidirect
1099. C2×#127C22×C61semidirect
1100. #529C22×C61semidirect
1101. #529C22×C61semidirect
1102. #529C22×C61semidirect
1103. #529C22×C61semidirect
1104. #529C22×C61semidirect
1105. C2×#124C22×C61semidirect
1106. #525C22×C61semidirect
1107. #525C22×C61semidirect
1108. #525C22×C61semidirect
1109. #525C22×C61semidirect
1110. #525C22×C61semidirect
1111. #525C22×C61semidirect
1112. C2×#121C22×C61semidirect
1113. C2×#121C22×C61semidirect
1114. C2×#121C22×C61semidirect
1115. C2×#121C22×C61semidirect
1116. C2×#121C22×C61semidirect
1117. C2×#120C22×C61semidirect
1118. C2×#120C22×C61semidirect
1119. C2×#120C22×C61semidirect
1120. #520C22×C61semidirect
1121. #518C22×C61semidirect
1122. #518C22×C61semidirect
1123. C4×#41C22×C61semidirect
1124. C4×#41C22×C61semidirect
1125. C4×#41C22×C61semidirect
1126. C2×C4×D4C22×C61semidirect
1127. C2×C4×D4C22×C61semidirect
1128. C2×C4×D4C22×C61semidirect
1129. C2×#117C22×C61semidirect
1130. C61#62912direct (N × H)
1140. C2×#41C23×C61semidirect
1141. C2×#41C23×C61semidirect
1142. C2×#41C23×C61semidirect
1143. C2×#41C23×C61semidirect
1144. C2×#41C23×C61semidirect
1145. C2×#41C23×C61semidirect
1146. C2×#41C23×C61semidirect
1147. C2×#41C23×C61semidirect
1148. C2×#41C23×C61semidirect
1149. C2×#41C23×C61semidirect
1150. C22×Q8C23×C61semidirect
1170. C22×D4C23×C61semidirect
1171. C22×D4C23×C61semidirect
1172. C22×D4C23×C61semidirect
1173. C22×D4C23×C61semidirect
1174. C22×D4C23×C61semidirect
1175. C22×D4C23×C61semidirect
1176. C22×D4C23×C61semidirect
1177. C22×D4C23×C61semidirect
1178. C22×D4C23×C61semidirect
1179. C22×D4C23×C61semidirect
1182. C23×C4C23×C61semidirect
1183. C4⋊Q8C23×C61semidirect
1184. C4⋊Q8C23×C61semidirect
1185. C4⋊Q8C23×C61semidirect
1186. C4⋊Q8C23×C61semidirect
1187. C4⋊Q8C23×C61semidirect
1188. C4⋊Q8C23×C61semidirect
1197. #127C23×C61semidirect
1198. #127C23×C61semidirect
1199. #127C23×C61semidirect
1200. #127C23×C61semidirect
1201. #127C23×C61semidirect
1202. #127C23×C61semidirect
1203. #127C23×C61semidirect
1204. #127C23×C61semidirect
1205. #126C23×C61semidirect
1206. #126C23×C61semidirect
1207. #126C23×C61semidirect
1208. #126C23×C61semidirect
1209. #126C23×C61semidirect
1210. #126C23×C61semidirect
1211. #126C23×C61semidirect
1212. #126C23×C61semidirect
1213. #125C23×C61semidirect
1214. #125C23×C61semidirect
1215. #125C23×C61semidirect
1216. #125C23×C61semidirect
1217. #125C23×C61semidirect
1222. #124C23×C61semidirect
1223. #124C23×C61semidirect
1224. #124C23×C61semidirect
1225. #124C23×C61semidirect
1226. #124C23×C61semidirect
1227. #124C23×C61semidirect
1228. #124C23×C61semidirect
1229. #124C23×C61semidirect
1230. #124C23×C61semidirect
1231. #124C23×C61semidirect
1232. #124C23×C61semidirect
1233. #124C23×C61semidirect
1234. #124C23×C61semidirect
1235. #124C23×C61semidirect
1236. #124C23×C61semidirect
1240. #123C23×C61semidirect
1241. #123C23×C61semidirect
1242. #123C23×C61semidirect
1243. #123C23×C61semidirect
1244. #123C23×C61semidirect
1245. #123C23×C61semidirect
1246. #123C23×C61semidirect
1247. #123C23×C61semidirect
1248. #123C23×C61semidirect
1249. #123C23×C61semidirect
1250. #123C23×C61semidirect
1251. #123C23×C61semidirect
1252. #123C23×C61semidirect
1253. #123C23×C61semidirect
1254. #123C23×C61semidirect
1255. #123C23×C61semidirect
1256. #123C23×C61semidirect
1257. #123C23×C61semidirect
1258. #123C23×C61semidirect
1262. C22⋊Q8C23×C61semidirect
1263. C22⋊Q8C23×C61semidirect
1264. C22⋊Q8C23×C61semidirect
1265. C22⋊Q8C23×C61semidirect
1266. C22⋊Q8C23×C61semidirect
1267. C22⋊Q8C23×C61semidirect
1268. C22⋊Q8C23×C61semidirect
1269. C22⋊Q8C23×C61semidirect
1270. C22⋊Q8C23×C61semidirect
1271. C22⋊Q8C23×C61semidirect
1272. C22⋊Q8C23×C61semidirect
1273. C22⋊Q8C23×C61semidirect
1274. C22⋊Q8C23×C61semidirect
1275. C22⋊Q8C23×C61semidirect
1296. #121C23×C61semidirect
1297. #121C23×C61semidirect
1298. #121C23×C61semidirect
1299. #121C23×C61semidirect
1300. #121C23×C61semidirect
1301. #121C23×C61semidirect
1302. #121C23×C61semidirect
1303. #121C23×C61semidirect
1304. #121C23×C61semidirect
1305. #121C23×C61semidirect
1306. #121C23×C61semidirect
1307. #121C23×C61semidirect
1308. #121C23×C61semidirect
1309. #121C23×C61semidirect
1310. #121C23×C61semidirect
1311. #121C23×C61semidirect
1312. #121C23×C61semidirect
1313. #121C23×C61semidirect
1314. #121C23×C61semidirect
1315. #121C23×C61semidirect
1316. #121C23×C61semidirect
1317. #121C23×C61semidirect
1318. #121C23×C61semidirect
1319. #121C23×C61semidirect
1320. #121C23×C61semidirect
1321. #121C23×C61semidirect
1322. #121C23×C61semidirect
1323. #121C23×C61semidirect
1324. #121C23×C61semidirect
1325. #121C23×C61semidirect
1326. #121C23×C61semidirect
1327. #121C23×C61semidirect
1328. #121C23×C61semidirect
1329. #121C23×C61semidirect
1330. #121C23×C61semidirect
1331. #121C23×C61semidirect
1332. #121C23×C61semidirect
1333. #121C23×C61semidirect
1334. #121C23×C61semidirect
1335. #121C23×C61semidirect
1336. #121C23×C61semidirect
1337. #121C23×C61semidirect
1350. #120C23×C61semidirect
1351. #120C23×C61semidirect
1352. #120C23×C61semidirect
1353. #120C23×C61semidirect
1354. #120C23×C61semidirect
1355. #120C23×C61semidirect
1356. #120C23×C61semidirect
1357. #120C23×C61semidirect
1358. #120C23×C61semidirect
1359. #120C23×C61semidirect
1360. #120C23×C61semidirect
1361. #120C23×C61semidirect
1362. #120C23×C61semidirect
1363. #120C23×C61semidirect
1364. #120C23×C61semidirect
1365. #120C23×C61semidirect
1366. C4×Q8C23×C61semidirect
1367. C4×Q8C23×C61semidirect
1368. C4×Q8C23×C61semidirect
1369. C4×Q8C23×C61semidirect
1370. C4×Q8C23×C61semidirect
1371. C4×Q8C23×C61semidirect
1372. C4×Q8C23×C61semidirect
1373. C4×Q8C23×C61semidirect
1391. C4×D4C23×C61semidirect
1392. C4×D4C23×C61semidirect
1393. C4×D4C23×C61semidirect
1394. C4×D4C23×C61semidirect
1395. C4×D4C23×C61semidirect
1396. C4×D4C23×C61semidirect
1397. C4×D4C23×C61semidirect
1398. C4×D4C23×C61semidirect
1399. C4×D4C23×C61semidirect
1400. C4×D4C23×C61semidirect
1401. C4×D4C23×C61semidirect
1402. C4×D4C23×C61semidirect
1403. C4×D4C23×C61semidirect
1404. C4×D4C23×C61semidirect
1405. C4×D4C23×C61semidirect
1406. C4×D4C23×C61semidirect
1407. C4×D4C23×C61semidirect
1408. C4×D4C23×C61semidirect
1409. C4×D4C23×C61semidirect
1410. C4×D4C23×C61semidirect
1411. C4×D4C23×C61semidirect
1412. C4×D4C23×C61semidirect
1413. C4×D4C23×C61semidirect
1414. C4×D4C23×C61semidirect
1415. C4×D4C23×C61semidirect
1416. C4×D4C23×C61semidirect
1417. C4×D4C23×C61semidirect
1418. C4×D4C23×C61semidirect
1419. C4×D4C23×C61semidirect
1424. #117C23×C61semidirect
1425. #117C23×C61semidirect
1426. #117C23×C61semidirect
1427. #117C23×C61semidirect
1428. #117C23×C61semidirect
1429. #117C23×C61semidirect
1430. #117C23×C61semidirect
1431. #117C23×C61semidirect
1432. #117C23×C61semidirect
1433. #117C23×C61semidirect
1434. #117C23×C61semidirect
1437. C2×C4⋊C4C23×C61semidirect
1438. C2×C4⋊C4C23×C61semidirect
1439. C2×C4⋊C4C23×C61semidirect
1440. C2×C4⋊C4C23×C61semidirect
1446. C2×C22⋊C4C23×C61semidirect
1447. C2×C22⋊C4C23×C61semidirect
1448. C2×C22⋊C4C23×C61semidirect
1449. C2×C22⋊C4C23×C61semidirect
1450. C2×C22⋊C4C23×C61semidirect
1451. C2×C22⋊C4C23×C61semidirect
1453. C2×C42C23×C61semidirect
1454. C2×C42C23×C61semidirect
1455. C2×C42C23×C61semidirect
1756. D4H(5,𝔽2)×C61semidirect
1783. C2×C4H(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×#35492
C61×#35462
C61×#35432
C61×#35422
C61×#35372
C61×#35322
C61×#35192
C61×#35142
C61×#35082
C61×#35062
C61×#34982
C61×#34962
C61×#34942
C61×#34882
C61×#34842
C61×#34752
D4×#41×C612
C2×D42×C612
C61×#34602
C2×C61×#5352
#6291261