Finite Group Databasebeta

← C61×#62952 #29566385

Subgroups — C61×#62952 #29566385

Order 15616.

6548 conjugacy classes of subgroups.

The subgroup lattice has 1298 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3565C216yesmaximal, complemented
2C61×#3559C216yesmaximal, complemented
3C61×#3554C216yesmaximal, complemented
4C61×#3554C213yesmaximal, complemented
5C61×#3548C213yesmaximal, complemented
6C61×#3547C213yesmaximal, complemented
7C61×#3547C216yesmaximal, complemented
8C61×#3544C213yesmaximal, complemented
9C61×#3524C212yesmaximal, complemented
10C61×#3524C212yesmaximal, complemented
11C61×#3522C213yesmaximal, complemented
12C61×#3522C211yesmaximal, characteristic, complemented
13C61×#3517C212yesmaximal, complemented
14C61×#3517C211yesmaximal, characteristic, complemented
15C61×#3515C213yesmaximal, complemented
16C61×#3511C213yesmaximal, complemented
17C61×#3504C212yesmaximal, complemented
18C61×#3503C211yesmaximal, characteristic, complemented
19C61×#3502C211yesmaximal, characteristic, complemented
20C61×#3483C211yesmaximal, characteristic, complemented
21C61×#3480C211yesmaximal, characteristic, complemented
22Q8×#41×C61C211yesmaximal, characteristic, complemented
23C61×#3461C213yesmaximal, complemented
24C61×#563C22112yes—
25C61×#562C22112yes—
26C61×#562C22112yes—
27C61×#562C22112yes—
28C61×#559C2213yes—
29C61×#559C2216yes—
30C61×#559C2213yes—
31C61×#559C2216yes—
32Q82×C61C2213yes—
33Q82×C61C2211yescharacteristic
34Q82×C61C2211yescharacteristic
35C61×#557C2216yes—
36C61×#557C2213yes—
37C61×#557C2211yescharacteristic
38C61×#557C2212yes—
39C61×#557C2211yescharacteristic
40C61×#557C2212yes—
41C61×#557C2212yes—
42C61×#556C2213yes—
43C61×#556C2216yes—
44C61×#555C2213yes—
45C61×#555C2216yes—
46C61×#555C2216yes—
47C61×#555C2216yes—
48C61×#554C2213yes—
49C61×#554C2213yes—
50C61×#554C2216yes—
51C61×#554C2213yes—
52C61×#554C2216yes—
53C61×#554C2213yes—
54C61×#554C2216yes—
55C61×#554C2216yes—
56C61×#554C2216yes—
57C61×#553C2213yes—
58C61×#553C2216yes—
59C61×#553C2216yes—
60C61×#553C2213yes—
61C61×#553C2216yes—
62C61×#553C2216yes—
63C61×#553C2216yes—
64C61×#552C2216yes—
65C61×#552C2216yes—
66C61×#552C22112yes—
67C61×#552C2216yes—
68C61×#550C2213yes—
69C61×#550C2216yes—
70C61×#550C2213yes—
71C61×#550C2211yescharacteristic
72C61×#550C2211yescharacteristic
73C61×#550C2212yes—
74C61×#550C2212yes—
75D4×Q8×C61C2213yes—
76D4×Q8×C61C2216yes—
77C61×#548C2216yes—
78C61×#548C2216yes—
79C61×#548C2216yes—
80C61×#548C2211yescharacteristic
81C61×#548C2211yescharacteristic
82C61×#548C2212yes—
83C61×#547C2216yes—
84C61×#547C2216yes—
85C61×#547C2216yes—
86C61×#547C2213yes—
87C61×#547C2216yes—
88C61×#547C22112yes—
89C61×#547C2216yes—
90C61×#544C2213yes—
91C61×#544C2216yes—
92C61×#544C2216yes—
93C61×#544C2216yes—
94C61×#544C2216yes—
95C61×#542C2216yes—
96C61×#542C2216yes—
97C61×#542C2216yes—
98C61×#542C22112yes—
99C61×#542C22112yes—
100C61×#542C2216yes—
101C61×#542C2216yes—
102C61×#542C2213yes—
103C61×#542C2213yes—
104C61×#541C2216yes—
105C61×#541C2211yescharacteristic
106C61×#541C2213yes—
107C61×#540C2216yes—
108C61×#540C2216yes—
109C61×#540C2216yes—
110C61×#540C2216yes—
111C61×#540C2216yes—
112C61×#539C2216yes—
113C61×#539C22112yes—
114C61×#539C22112yes—
115C61×#539C2216yes—
116C61×#537C22112yes—
117C61×#537C2216yes—
118C61×#537C2213yes—
119C61×#536C22112yes—
120C61×#536C2213yes—
121C61×#536C2213yes—
122C61×#533C2216yes—
123C61×#533C2213yes—
124C61×#533C2213yes—
125C61×#533C2213yes—
126C61×#533C2216yes—
127C61×#533C2213yes—
128C61×#532C2213yes—
129C61×#532C2216yes—
130C61×#532C2213yes—
131C61×#532C2216yes—
132C61×#532C2213yes—
133C61×#532C2213yes—
134C2×C4⋊Q8×C61C2213yes—
135C61×#529C2213yes—
136C61×#529C2213yes—
137C61×#529C2213yes—
138C61×#529C2216yes—
139C61×#529C2216yes—
140C61×#529C2216yes—
141C61×#529C2216yes—
142C61×#529C2216yes—
143C61×#529C2213yes—
144C2×#125×C61C2216yes—
145C61×#520C2212yes—
146C61×#520C2212yes—
147C61×#520C2212yes—
148C61×#520C2216yes—
149C61×#519C2212yes—
150C4×#41×C61C2213yes—
151C4×#41×C61C2213yes—
152C4×#41×C61C2211yescharacteristic
153C4×#41×C61C2212yes—
154C4×#41×C61C2211yescharacteristic
155C4×#41×C61C2212yes—
156C2×C4×Q8×C61C2213yes—
157C2×C4×Q8×C61C2211yescharacteristic
158C2×#41×C61C2311yescharacteristic
159C2×#41×C61C2311yescharacteristic
160C2×#41×C61C2312yes—
161C2×#41×C61C2313yes—
162C2×#41×C61C2316yes—
163C2×#41×C61C2313yes—
164C2×#41×C61C2316yes—
165C2×#41×C61C23112yes—
166C2×#41×C61C2316yes—
167C22×Q8×C61C2311yescharacteristic
168C22×Q8×C61C2313yes—
169C22×Q8×C61C2316yes—
170C4⋊Q8×C61C2313yes—
171C4⋊Q8×C61C2313yes—
172C4⋊Q8×C61C2313yes—
173C4⋊Q8×C61C2316yes—
174C4⋊Q8×C61C2316yes—
175C4⋊Q8×C61C2313yes—
176C4⋊Q8×C61C2316yes—
177C4⋊Q8×C61C2316yes—
178C4⋊Q8×C61C2313yes—
179C4⋊Q8×C61C2311yescharacteristic
180C4⋊Q8×C61C2316yes—
181C4⋊Q8×C61C2316yes—
182C4⋊Q8×C61C2313yes—
183C4⋊Q8×C61C2313yes—
184C4⋊Q8×C61C2316yes—
185C4⋊Q8×C61C2316yes—
186C4⋊Q8×C61C23112yes—
187#127×C61C2313yes—
188#127×C61C2316yes—
189#127×C61C2316yes—
190#127×C61C2313yes—
191#126×C61C2312yes—
192#126×C61C2316yes—
193#126×C61C2316yes—
194#126×C61C2316yes—
195#126×C61C2316yes—
196#126×C61C23112yes—
197#126×C61C23112yes—
198#126×C61C2316yes—
199#126×C61C2312yes—
200#126×C61C2316yes—
201#126×C61C2316yes—
202#126×C61C2316yes—
203#125×C61C2312yes—
204#125×C61C2316yes—
205#125×C61C2316yes—
206#125×C61C2316yes—
207#125×C61C2316yes—
208#125×C61C2316yes—
209#125×C61C2316yes—
210#125×C61C2316yes—
211#125×C61C23112yes—
212#125×C61C2316yes—
213#125×C61C2316yes—
214#125×C61C2312yes—
215#125×C61C2316yes—
216#125×C61C2311yescharacteristic
217#125×C61C2313yes—
218#125×C61C2316yes—
219#125×C61C23112yes—
220#125×C61C2313yes—
221#125×C61C2316yes—
222#125×C61C2313yes—
223#124×C61C2313yes—
224#124×C61C2316yes—
225#124×C61C23112yes—
226#124×C61C2316yes—
227#124×C61C2316yes—
228#124×C61C2316yes—
229#124×C61C23112yes—
230#124×C61C2313yes—
231#124×C61C2316yes—
232#124×C61C23112yes—
233#124×C61C2316yes—
234#124×C61C2316yes—
235#124×C61C2313yes—
236#124×C61C2313yes—
237#123×C61C2316yes—
238#123×C61C2316yes—
239#123×C61C2316yes—
240#123×C61C2316yes—
241#123×C61C23112yes—
242#123×C61C2316yes—
243#123×C61C2316yes—
244#123×C61C23112yes—
245#123×C61C23112yes—
246#123×C61C2316yes—
247#123×C61C23112yes—
248#123×C61C23112yes—
249#123×C61C23112yes—
250#123×C61C2316yes—
251#123×C61C2316yes—
252#123×C61C2316yes—
253#123×C61C23112yes—
254#123×C61C23112yes—
255C22⋊Q8×C61C2313yes—
256C22⋊Q8×C61C2311yescharacteristic
257C22⋊Q8×C61C23112yes—
258C22⋊Q8×C61C2313yes—
259C22⋊Q8×C61C2316yes—
260C22⋊Q8×C61C2316yes—
261C22⋊Q8×C61C2313yes—
262C22⋊Q8×C61C2316yes—
263C22⋊Q8×C61C2316yes—
264C22⋊Q8×C61C2316yes—
265C22⋊Q8×C61C2316yes—
266C22⋊Q8×C61C2316yes—
267C22⋊Q8×C61C2316yes—
268C22⋊Q8×C61C23112yes—
269C22⋊Q8×C61C2316yes—
270C22⋊Q8×C61C2311yescharacteristic
271C22⋊Q8×C61C2316yes—
272C22⋊Q8×C61C2316yes—
273C22⋊Q8×C61C23112yes—
274C22⋊Q8×C61C2313yes—
275C22⋊Q8×C61C23112yes—
276C22⋊Q8×C61C23112yes—
277C22⋊Q8×C61C23112yes—
278C22⋊Q8×C61C23112yes—
279C22⋊Q8×C61C23112yes—
280C22⋊Q8×C61C2316yes—
281C22⋊Q8×C61C23112yes—
282C22⋊Q8×C61C2316yes—
283C22⋊Q8×C61C2313yes—
284C22⋊Q8×C61C2313yes—
285#121×C61C2313yes—
286#121×C61C2313yes—
287#121×C61C2316yes—
288#121×C61C2316yes—
289#121×C61C23112yes—
290#121×C61C2316yes—
291#121×C61C2316yes—
292#121×C61C23112yes—
293#121×C61C2316yes—
294#121×C61C2313yes—
295#121×C61C2313yes—
296#121×C61C2316yes—
297#121×C61C2316yes—
298#121×C61C2316yes—
299#121×C61C2316yes—
300#121×C61C2316yes—
301#121×C61C23112yes—
302#121×C61C23112yes—
303#121×C61C23112yes—
304#121×C61C2316yes—
305#121×C61C23112yes—
306#121×C61C23112yes—
307#121×C61C2313yes—
308#121×C61C2313yes—
309#121×C61C2316yes—
310C4×Q8×C61C2316yes—
311C4×Q8×C61C2316yes—
312C4×Q8×C61C2313yes—
313C4×Q8×C61C2316yes—
314C4×Q8×C61C2316yes—
315C4×Q8×C61C2313yes—
316C4×Q8×C61C2313yes—
317C4×Q8×C61C2316yes—
318C4×Q8×C61C2316yes—
319C4×Q8×C61C2313yes—
320C4×Q8×C61C2313yes—
321C4×Q8×C61C2316yes—
322C4×Q8×C61C2311yescharacteristic
323C4×Q8×C61C2313yes—
324C4×Q8×C61C2311yescharacteristic
325C4×Q8×C61C2313yes—
326C4×Q8×C61C2316yes—
327C4×Q8×C61C2316yes—
328C4×Q8×C61C2311yescharacteristic
329C4×Q8×C61C2311yescharacteristic
330C4×Q8×C61C2312yes—
331C4×Q8×C61C2311yescharacteristic
332C4×Q8×C61C2312yes—
333C4×Q8×C61C2312yes—
334C4×Q8×C61C2311yescharacteristic
335C4×Q8×C61C2313yes—
336C4×D4×C61C2316yes—
337C4×D4×C61C2313yes—
338C4×D4×C61C2313yes—
339C4×D4×C61C2316yes—
340C4×D4×C61C2316yes—
341C4×D4×C61C2316yes—
342C4×D4×C61C2316yes—
343C4×D4×C61C2316yes—
344C4×D4×C61C2316yes—
345C4×D4×C61C23112yes—
346C4×D4×C61C2316yes—
347C4×D4×C61C2316yes—
348C4×D4×C61C2313yes—
349C4×D4×C61C2313yes—
350C4×D4×C61C2313yes—
351C4×D4×C61C2313yes—
352C4×D4×C61C23112yes—
353C4×D4×C61C23112yes—
354C4×D4×C61C2313yes—
355C4×D4×C61C2316yes—
356C4×D4×C61C2316yes—
357C4×D4×C61C2316yes—
358C4×D4×C61C2316yes—
359C4×D4×C61C2316yes—
360C4×D4×C61C2313yes—
361C4×D4×C61C2316yes—
362C4×D4×C61C2316yes—
363C4×D4×C61C2313yes—
364C4×D4×C61C2313yes—
365C4×D4×C61C2313yes—
366C4×D4×C61C2316yes—
367C4×D4×C61C2313yes—
368#117×C61C2316yes—
369#117×C61C2313yes—
370#117×C61C2316yes—
371#117×C61C2316yes—
372#117×C61C2316yes—
373#117×C61C2316yes—
374#117×C61C2316yes—
375#117×C61C2313yes—
376#117×C61C23112yes—
377#117×C61C2313yes—
378#117×C61C2311yescharacteristic
379#117×C61C2316yes—
380#117×C61C2313yes—
381#117×C61C23112yes—
382#117×C61C2316yes—
383#117×C61C2313yes—
384C2×C4⋊C4×C61C2316yes—
385C2×C4⋊C4×C61C2316yes—
386C2×C4⋊C4×C61C23112yes—
387C2×C4⋊C4×C61C2313yes—
388C2×C4⋊C4×C61C2316yes—
389C2×C4⋊C4×C61C23112yes—
390C2×C4⋊C4×C61C2313yes—
391C2×C4⋊C4×C61C2316yes—
392C2×C4⋊C4×C61C2316yes—
393C2×C42×C61C2313yes—
394C2×C42×C61C2313yes—
395C2×C42×C61C2313yes—
396C2×C42×C61C2316yes—
397C2×C42×C61C2316yes—
398#41×C61—24no—
399#41×C61—24no—
400#41×C61—28no—
401#41×C61—46no—
402#41×C61—46no—
403#41×C61—412no—
404#41×C61—812no—
405#41×C61—86no—
406#41×C61—86no—
407C2×Q8×C61—24no—
408C2×Q8×C61—46no—
409C2×Q8×C61—86no—
410C2×Q8×C61C2413yes—
411C2×Q8×C61C2411yescharacteristic
412C2×Q8×C61C2413yes—
413C2×Q8×C61C2411yescharacteristic
414C2×Q8×C61C2416yes—
415C2×Q8×C61C2413yes—
416C2×Q8×C61C2416yes—
417C2×Q8×C61C2416yes—
418C2×Q8×C61C2416yes—
419C2×Q8×C61C2416yes—
420C2×Q8×C61C2411yescharacteristic
421C2×D4×C61C2416yes—
422C2×D4×C61C2413yes—
423C2×D4×C61C2413yes—
424C2×D4×C61C2413yes—
425C2×D4×C61C2413yes—
426C2×D4×C61C2413yes—
427C2×D4×C61C24112yes—
428C2×D4×C61C2416yes—
429C2×D4×C61C2413yes—
430C2×D4×C61C2416yes—
431C2×D4×C61C2416yes—
432C2×D4×C61C2416yes—
433C2×D4×C61C24112yes—
434C2×D4×C61C2416yes—
435C22×C4×C61C2413yes—
436C22×C4×C61C2411yescharacteristic
437C22×C4×C61C2413yes—
438C22×C4×C61C2416yes—
439C22×C4×C61C2413yes—
440C22×C4×C61C2413yes—
441C22×C4×C61C2413yes—
442C22×C4×C61C2416yes—
443C22×C4×C61C2413yes—
444C22×C4×C61C2416yes—
445C22×C4×C61C2413yes—
446C22×C4×C61C2416yes—
447C22×C4×C61C2416yes—
448C22×C4×C61C2413yes—
449C22×C4×C61C24112yes—
450C22×C4×C61C24112yes—
451C22×C4×C61C24112yes—
452C4⋊C4×C61C2413yes—
453C4⋊C4×C61C2413yes—
454C4⋊C4×C61C2413yes—
455C4⋊C4×C61C2416yes—
456C4⋊C4×C61C2411yescharacteristic
457C4⋊C4×C61C2412yes—
458C4⋊C4×C61C2413yes—
459C4⋊C4×C61C2416yes—
460C4⋊C4×C61C2413yes—
461C4⋊C4×C61C24112yes—
462C4⋊C4×C61C2416yes—
463C4⋊C4×C61C2416yes—
464C4⋊C4×C61C2416yes—
465C4⋊C4×C61C2416yes—
466C4⋊C4×C61C2416yes—
467C4⋊C4×C61C2416yes—
468C4⋊C4×C61C2416yes—
469C4⋊C4×C61C2416yes—
470C4⋊C4×C61C2413yes—
471C4⋊C4×C61C24112yes—
472C4⋊C4×C61C24112yes—
473C4⋊C4×C61C2416yes—
474C4⋊C4×C61C2416yes—
475C4⋊C4×C61C2416yes—
476C4⋊C4×C61C2416yes—
477C4⋊C4×C61C2413yes—
478C4⋊C4×C61C2413yes—
479C4⋊C4×C61C2411yescharacteristic
480C4⋊C4×C61C2412yes—
481C4⋊C4×C61C2412yes—
482C4⋊C4×C61C2412yes—
483C4⋊C4×C61C2412yes—
484C4⋊C4×C61C2416yes—
485C4⋊C4×C61C2411yescharacteristic
486C4⋊C4×C61C2411yescharacteristic
487C4⋊C4×C61C2416yes—
488C4⋊C4×C61C2413yes—
489C4⋊C4×C61C2413yes—
490C4⋊C4×C61C2416yes—
491C4⋊C4×C61C2416yes—
492C4⋊C4×C61C2412yes—
493C4⋊C4×C61C2416yes—
494C4⋊C4×C61C2416yes—
495C4⋊C4×C61C2412yes—
496C4⋊C4×C61C2416yes—
497C4⋊C4×C61C2412yes—
498C22⋊C4×C61C2416yes—
499C22⋊C4×C61C2412yes—
500C22⋊C4×C61C2416yes—
501C22⋊C4×C61C2416yes—
502C22⋊C4×C61C2416yes—
503C22⋊C4×C61C2413yes—
504C22⋊C4×C61C2411yescharacteristic
505C22⋊C4×C61C2413yes—
506C22⋊C4×C61C2411yescharacteristic
507C22⋊C4×C61C2416yes—
508C22⋊C4×C61C2416yes—
509C22⋊C4×C61C2416yes—
510C22⋊C4×C61C24112yes—
511C22⋊C4×C61C2416yes—
512C22⋊C4×C61C2416yes—
513C22⋊C4×C61C24112yes—
514C22⋊C4×C61C2416yes—
515C22⋊C4×C61C2416yes—
516C22⋊C4×C61C2416yes—
517C22⋊C4×C61C2413yes—
518C22⋊C4×C61C2416yes—
519C22⋊C4×C61C2416yes—
520C22⋊C4×C61C24112yes—
521C22⋊C4×C61C2413yes—
522C22⋊C4×C61C2416yes—
523C22⋊C4×C61C2416yes—
524C22⋊C4×C61C2412yes—
525C22⋊C4×C61C2416yes—
526C42×C61C2411yescharacteristic
527C42×C61C2411yescharacteristic
528C42×C61C2413yes—
529C42×C61C2413yes—
530C42×C61C2412yes—
531C42×C61C2412yes—
532C42×C61C2416yes—
533C42×C61C2416yes—
534C42×C61C2413yes—
535C42×C61C2413yes—
536C42×C61C2416yes—
537C42×C61C2413yes—
538C42×C61C2413yes—
539C42×C61C2416yes—
540C42×C61C2416yes—
541C42×C61C2413yes—
542C42×C61C2413yes—
543C42×C61C24112yes—
544C23×C61C2511yescharacteristic
545C23×C61C2513yes—
546C23×C61C2513yes—
547C23×C61C2516yes—
548Q8×C61—26no—
549Q8×C61—22no—
550Q8×C61—26no—
551Q8×C61—22no—
552Q8×C61—46no—
553Q8×C61—46no—
554Q8×C61—46no—
555Q8×C61—46no—
556Q8×C61—43no—
557Q8×C61—46no—
558Q8×C612−1+414yes—
559D4×C61—212no—
560D4×C61—26no—
561D4×C61—26no—
562D4×C61—26no—
563D4×C61—43no—
564D4×C61—43no—
565D4×C61—43no—
566D4×C61—46no—
567D4×C61—412no—
568D4×C61—46no—
569D4×C61—46no—
570D4×C61—46no—
571D4×C61—46no—
572D4×C61—412no—
573C2×C4×C61—26no—
574C2×C4×C61—26no—
575C2×C4×C61—26no—
576C2×C4×C61—212no—
577C2×C4×C61—26no—
578C2×C4×C61—26no—
579C2×C4×C61—22no—
580C2×C4×C61—46no—
581C2×C4×C61—43no—
582C2×C4×C61—412no—
583C2×C4×C61—412no—
584C2×C4×C61—46no—
585C2×C4×C61—43no—
586C2×C4×C61—46no—
587C2×C4×C61—412no—
588C2×C4×C61—43no—
589C2×C4×C61—46no—
590C2×C4×C61C2511yescharacteristic
591C2×C4×C61C2513yes—
592C2×C4×C61C2511yescharacteristic
593C2×C4×C61C2511yescharacteristic
594C2×C4×C61C2511yescharacteristic
595C2×C4×C61C2512yes—
596C2×C4×C61C2512yes—
597C2×C4×C61C2511yescharacteristic
598C2×C4×C61C2513yes—
599C2×C4×C61C2516yes—
600C2×C4×C61C2513yes—
601C2×C4×C61C2516yes—
602C2×C4×C61C2512yes—
603C2×C4×C61C2512yes—
604C2×C4×C61C2513yes—
605C2×C4×C61C2516yes—
606C2×C4×C61C2513yes—
607C2×C4×C61C2513yes—
608C2×C4×C61C2511yescharacteristic
609#62952C6111yesmaximal, characteristic, direct product factor, Sylow
610C22×C61—21no—
611C22×C61—23no—
612C22×C61—23no—
613C22×C61—26no—
614C22×C61—23no—
615C22×C61—21no—
616C22×C61—23no—
617C22×C61—26no—
618C22×C61—23no—
619C22×C61—21no—
620C22×C61—23no—
621C22×C61—26no—
622C22×C61C2611yescharacteristic
623C4×C61—21no—
624C4×C61—21no—
625C4×C61—22no—
626C4×C61—23no—
627C4×C61—23no—
628C4×C61—23no—
629C4×C61—21no—
630C4×C61—22no—
631C4×C61—26no—
632C4×C61—22no—
633C4×C61—21no—
634C4×C61—23no—
635C4×C61—26no—
636C4×C61—22no—
637C4×C61—23no—
638C4×C61—26no—
639C4×C61—21no—
640C4×C61C2×2−1+416yes—
641C4×C61#58512yes—
642#3565C2×C6116yescomplemented
643#3559C2×C6116yescomplemented
644#3554C2×C6113yescomplemented
645#3554C2×C6116yescomplemented
646#3548C2×C6113yescomplemented
647#3547C2×C6113yescomplemented
648#3547C2×C6116yescomplemented
649#3544C2×C6113yescomplemented
650#3524C2×C6112yescomplemented
651#3524C2×C6112yescomplemented
652#3522C2×C6113yescomplemented
653#3522C2×C6111yescharacteristic, complemented
654#3517C2×C6112yescomplemented
655#3517C2×C6111yescharacteristic, complemented
656#3515C2×C6113yescomplemented
657#3511C2×C6113yescomplemented
658#3504C2×C6112yescomplemented
659#3503C2×C6111yescharacteristic, complemented
660#3502C2×C6111yescharacteristic, complemented
661#3483C2×C6111yescharacteristic, complemented
662#3480C2×C6111yescharacteristic, complemented
663Q8×#41C2×C6111yescharacteristic, complemented
664#3461C2×C6113yescomplemented
665C2×C61—41no—
666C2×C61—43no—
667C2×C61—43no—
668C2×C61—46no—
669C2×C61C22×2−1+411yescharacteristic
670C2×C61C2×#58511yescharacteristic
671C2×C61H(7,𝔽2)11yescharacteristic
672#563C22×C61112yes—
673#562C22×C61112yes—
674#562C22×C61112yes—
675#562C22×C61112yes—
676#559C22×C6113yes—
677#559C22×C6113yes—
678#559C22×C6116yes—
679#559C22×C6116yes—
680Q82C22×C6111yescharacteristic
681Q82C22×C6111yescharacteristic
682Q82C22×C6113yes—
683#557C22×C6111yescharacteristic
684#557C22×C6112yes—
685#557C22×C6111yescharacteristic
686#557C22×C6112yes—
687#557C22×C6113yes—
688#557C22×C6116yes—
689#557C22×C6112yes—
690#556C22×C6113yes—
691#556C22×C6116yes—
692#555C22×C6113yes—
693#555C22×C6116yes—
694#555C22×C6116yes—
695#555C22×C6116yes—
696#554C22×C6113yes—
697#554C22×C6116yes—
698#554C22×C6113yes—
699#554C22×C6113yes—
700#554C22×C6116yes—
701#554C22×C6116yes—
702#554C22×C6116yes—
703#554C22×C6116yes—
704#554C22×C6113yes—
705#553C22×C6113yes—
706#553C22×C6113yes—
707#553C22×C6116yes—
708#553C22×C6116yes—
709#553C22×C6116yes—
710#553C22×C6116yes—
711#553C22×C6116yes—
712#552C22×C6116yes—
713#552C22×C6116yes—
714#552C22×C61112yes—
715#552C22×C6116yes—
716#550C22×C6111yescharacteristic
717#550C22×C6111yescharacteristic
718#550C22×C6112yes—
719#550C22×C6113yes—
720#550C22×C6112yes—
721#550C22×C6113yes—
722#550C22×C6116yes—
723D4×Q8C22×C6113yes—
724D4×Q8C22×C6116yes—
725#548C22×C6111yescharacteristic
726#548C22×C6111yescharacteristic
727#548C22×C6116yes—
728#548C22×C6116yes—
729#548C22×C6112yes—
730#548C22×C6116yes—
731#547C22×C6116yes—
732#547C22×C6113yes—
733#547C22×C6116yes—
734#547C22×C6116yes—
735#547C22×C6116yes—
736#547C22×C6116yes—
737#547C22×C61112yes—
738#544C22×C6113yes—
739#544C22×C6116yes—
740#544C22×C6116yes—
741#544C22×C6116yes—
742#544C22×C6116yes—
743#542C22×C6113yes—
744#542C22×C6113yes—
745#542C22×C6116yes—
746#542C22×C6116yes—
747#542C22×C61112yes—
748#542C22×C6116yes—
749#542C22×C6116yes—
750#542C22×C6116yes—
751#542C22×C61112yes—
752#541C22×C6111yescharacteristic
753#541C22×C6113yes—
754#541C22×C6116yes—
755#540C22×C6116yes—
756#540C22×C6116yes—
757#540C22×C6116yes—
758#540C22×C6116yes—
759#540C22×C6116yes—
760#539C22×C6116yes—
761#539C22×C6116yes—
762#539C22×C61112yes—
763#539C22×C61112yes—
764#537C22×C6113yes—
765#537C22×C6116yes—
766#537C22×C61112yes—
767#536C22×C6113yes—
768#536C22×C6113yes—
769#536C22×C61112yes—
770#533C22×C6113yes—
771#533C22×C6113yes—
772#533C22×C6116yes—
773#533C22×C6113yes—
774#533C22×C6116yes—
775#533C22×C6113yes—
776#532C22×C6113yes—
777#532C22×C6113yes—
778#532C22×C6116yes—
779#532C22×C6113yes—
780#532C22×C6113yes—
781#532C22×C6116yes—
782C2×C4⋊Q8C22×C6113yes—
783#529C22×C6113yes—
784#529C22×C6116yes—
785#529C22×C6113yes—
786#529C22×C6116yes—
787#529C22×C6116yes—
788#529C22×C6113yes—
789#529C22×C6113yes—
790#529C22×C6116yes—
791#529C22×C6116yes—
792C2×#125C22×C6116yes—
793#520C22×C6112yes—
794#520C22×C6112yes—
795#520C22×C6112yes—
796#520C22×C6116yes—
797#519C22×C6112yes—
798C4×#41C22×C6113yes—
799C4×#41C22×C6113yes—
800C4×#41C22×C6111yescharacteristic
801C4×#41C22×C6112yes—
802C4×#41C22×C6111yescharacteristic
803C4×#41C22×C6112yes—
804C2×C4×Q8C22×C6113yes—
805C2×C4×Q8C22×C6111yescharacteristic
806C61#6295211yescharacteristic, direct product factor, Sylow
807C2×#41C23×C6111yescharacteristic
808C2×#41C23×C6111yescharacteristic
809C2×#41C23×C6112yes—
810C2×#41C23×C6113yes—
811C2×#41C23×C6113yes—
812C2×#41C23×C6116yes—
813C2×#41C23×C6116yes—
814C2×#41C23×C61112yes—
815C2×#41C23×C6116yes—
816C22×Q8C23×C6111yescharacteristic
817C22×Q8C23×C6113yes—
818C22×Q8C23×C6116yes—
819C4⋊Q8C23×C6113yes—
820C4⋊Q8C23×C6113yes—
821C4⋊Q8C23×C6113yes—
822C4⋊Q8C23×C6116yes—
823C4⋊Q8C23×C6116yes—
824C4⋊Q8C23×C6113yes—
825C4⋊Q8C23×C6116yes—
826C4⋊Q8C23×C6116yes—
827C4⋊Q8C23×C6113yes—
828C4⋊Q8C23×C6111yescharacteristic
829C4⋊Q8C23×C6116yes—
830C4⋊Q8C23×C6116yes—
831C4⋊Q8C23×C6113yes—
832C4⋊Q8C23×C6113yes—
833C4⋊Q8C23×C6116yes—
834C4⋊Q8C23×C6116yes—
835C4⋊Q8C23×C61112yes—
836#127C23×C6113yes—
837#127C23×C6116yes—
838#127C23×C6116yes—
839#127C23×C6113yes—
840#126C23×C6112yes—
841#126C23×C6116yes—
842#126C23×C6116yes—
843#126C23×C6112yes—
844#126C23×C6116yes—
845#126C23×C6116yes—
846#126C23×C6116yes—
847#126C23×C6116yes—
848#126C23×C6116yes—
849#126C23×C6116yes—
850#126C23×C61112yes—
851#126C23×C61112yes—
852#125C23×C6113yes—
853#125C23×C6116yes—
854#125C23×C6116yes—
855#125C23×C6116yes—
856#125C23×C6116yes—
857#125C23×C61112yes—
858#125C23×C6112yes—
859#125C23×C6111yescharacteristic
860#125C23×C6116yes—
861#125C23×C6113yes—
862#125C23×C6116yes—
863#125C23×C6113yes—
864#125C23×C6116yes—
865#125C23×C6112yes—
866#125C23×C6116yes—
867#125C23×C6116yes—
868#125C23×C6116yes—
869#125C23×C6116yes—
870#125C23×C6116yes—
871#125C23×C61112yes—
872#124C23×C6113yes—
873#124C23×C6113yes—
874#124C23×C6116yes—
875#124C23×C6113yes—
876#124C23×C6116yes—
877#124C23×C6116yes—
878#124C23×C6116yes—
879#124C23×C6113yes—
880#124C23×C61112yes—
881#124C23×C6116yes—
882#124C23×C6116yes—
883#124C23×C6116yes—
884#124C23×C61112yes—
885#124C23×C61112yes—
886#123C23×C6116yes—
887#123C23×C6116yes—
888#123C23×C6116yes—
889#123C23×C6116yes—
890#123C23×C6116yes—
891#123C23×C6116yes—
892#123C23×C6116yes—
893#123C23×C6116yes—
894#123C23×C6116yes—
895#123C23×C6116yes—
896#123C23×C61112yes—
897#123C23×C61112yes—
898#123C23×C61112yes—
899#123C23×C61112yes—
900#123C23×C61112yes—
901#123C23×C61112yes—
902#123C23×C61112yes—
903#123C23×C61112yes—
904C22⋊Q8C23×C6111yescharacteristic
905C22⋊Q8C23×C6113yes—
906C22⋊Q8C23×C6116yes—
907C22⋊Q8C23×C6116yes—
908C22⋊Q8C23×C6113yes—
909C22⋊Q8C23×C6116yes—
910C22⋊Q8C23×C6116yes—
911C22⋊Q8C23×C6113yes—
912C22⋊Q8C23×C6113yes—
913C22⋊Q8C23×C6111yescharacteristic
914C22⋊Q8C23×C61112yes—
915C22⋊Q8C23×C6113yes—
916C22⋊Q8C23×C6116yes—
917C22⋊Q8C23×C6116yes—
918C22⋊Q8C23×C6113yes—
919C22⋊Q8C23×C6116yes—
920C22⋊Q8C23×C6116yes—
921C22⋊Q8C23×C6116yes—
922C22⋊Q8C23×C6116yes—
923C22⋊Q8C23×C6116yes—
924C22⋊Q8C23×C6116yes—
925C22⋊Q8C23×C61112yes—
926C22⋊Q8C23×C6116yes—
927C22⋊Q8C23×C61112yes—
928C22⋊Q8C23×C61112yes—
929C22⋊Q8C23×C61112yes—
930C22⋊Q8C23×C61112yes—
931C22⋊Q8C23×C61112yes—
932C22⋊Q8C23×C61112yes—
933C22⋊Q8C23×C61112yes—
934#121C23×C6113yes—
935#121C23×C6113yes—
936#121C23×C6116yes—
937#121C23×C6116yes—
938#121C23×C6116yes—
939#121C23×C6116yes—
940#121C23×C6113yes—
941#121C23×C6113yes—
942#121C23×C6116yes—
943#121C23×C6116yes—
944#121C23×C61112yes—
945#121C23×C6116yes—
946#121C23×C6116yes—
947#121C23×C61112yes—
948#121C23×C6116yes—
949#121C23×C6113yes—
950#121C23×C6113yes—
951#121C23×C6116yes—
952#121C23×C6116yes—
953#121C23×C6116yes—
954#121C23×C61112yes—
955#121C23×C61112yes—
956#121C23×C61112yes—
957#121C23×C61112yes—
958#121C23×C61112yes—
959C4×Q8C23×C6111yescharacteristic
960C4×Q8C23×C6111yescharacteristic
961C4×Q8C23×C6113yes—
962C4×Q8C23×C6111yescharacteristic
963C4×Q8C23×C6113yes—
964C4×Q8C23×C6113yes—
965C4×Q8C23×C6113yes—
966C4×Q8C23×C6116yes—
967C4×Q8C23×C6116yes—
968C4×Q8C23×C6113yes—
969C4×Q8C23×C6111yescharacteristic
970C4×Q8C23×C6111yescharacteristic
971C4×Q8C23×C6112yes—
972C4×Q8C23×C6112yes—
973C4×Q8C23×C6111yescharacteristic
974C4×Q8C23×C6112yes—
975C4×Q8C23×C6113yes—
976C4×Q8C23×C6113yes—
977C4×Q8C23×C6113yes—
978C4×Q8C23×C6116yes—
979C4×Q8C23×C6116yes—
980C4×Q8C23×C6116yes—
981C4×Q8C23×C6116yes—
982C4×Q8C23×C6116yes—
983C4×Q8C23×C6116yes—
984C4×Q8C23×C6116yes—
985C4×D4C23×C6113yes—
986C4×D4C23×C6113yes—
987C4×D4C23×C6113yes—
988C4×D4C23×C6113yes—
989C4×D4C23×C6116yes—
990C4×D4C23×C6113yes—
991C4×D4C23×C6113yes—
992C4×D4C23×C6113yes—
993C4×D4C23×C6116yes—
994C4×D4C23×C6113yes—
995C4×D4C23×C6116yes—
996C4×D4C23×C6113yes—
997C4×D4C23×C6113yes—
998C4×D4C23×C6113yes—
999C4×D4C23×C6116yes—
1000C4×D4C23×C6116yes—
1001C4×D4C23×C6116yes—
1002C4×D4C23×C6113yes—
1003C4×D4C23×C61112yes—
1004C4×D4C23×C6116yes—
1005C4×D4C23×C6116yes—
1006C4×D4C23×C6116yes—
1007C4×D4C23×C6116yes—
1008C4×D4C23×C6116yes—
1009C4×D4C23×C6116yes—
1010C4×D4C23×C61112yes—
1011C4×D4C23×C6116yes—
1012C4×D4C23×C6116yes—
1013C4×D4C23×C6116yes—
1014C4×D4C23×C6116yes—
1015C4×D4C23×C61112yes—
1016C4×D4C23×C6116yes—
1017#117C23×C6111yescharacteristic
1018#117C23×C6113yes—
1019#117C23×C6113yes—
1020#117C23×C6116yes—
1021#117C23×C6113yes—
1022#117C23×C6113yes—
1023#117C23×C6116yes—
1024#117C23×C6116yes—
1025#117C23×C6113yes—
1026#117C23×C6116yes—
1027#117C23×C6116yes—
1028#117C23×C6116yes—
1029#117C23×C6116yes—
1030#117C23×C6116yes—
1031#117C23×C61112yes—
1032#117C23×C61112yes—
1033C2×C4⋊C4C23×C6113yes—
1034C2×C4⋊C4C23×C6116yes—
1035C2×C4⋊C4C23×C6113yes—
1036C2×C4⋊C4C23×C61112yes—
1037C2×C4⋊C4C23×C6116yes—
1038C2×C4⋊C4C23×C6116yes—
1039C2×C4⋊C4C23×C6116yes—
1040C2×C4⋊C4C23×C6116yes—
1041C2×C4⋊C4C23×C61112yes—
1042C2×C42C23×C6113yes—
1043C2×C42C23×C6116yes—
1044C2×C42C23×C6113yes—
1045C2×C42C23×C6116yes—
1046C2×C42C23×C6113yes—
1047#41—24no—
1048#41—24no—
1049#41—28no—
1050#41—46no—
1051#41—46no—
1052#41—412no—
1053#41—812no—
1054#41—86no—
1055#41—86no—
1056C2×Q8—24no—
1057C2×Q8—46no—
1058C2×Q8—86no—
1059C2×Q8C24×C6113yes—
1060C2×Q8C24×C6111yescharacteristic
1061C2×Q8C24×C6113yes—
1062C2×Q8C24×C6111yescharacteristic
1063C2×Q8C24×C6116yes—
1064C2×Q8C24×C6113yes—
1065C2×Q8C24×C6116yes—
1066C2×Q8C24×C6116yes—
1067C2×Q8C24×C6116yes—
1068C2×Q8C24×C6116yes—
1069C2×Q8C24×C6111yescharacteristic
1070C2×D4C24×C6113yes—
1071C2×D4C24×C6113yes—
1072C2×D4C24×C6116yes—
1073C2×D4C24×C6113yes—
1074C2×D4C24×C6113yes—
1075C2×D4C24×C6113yes—
1076C2×D4C24×C61112yes—
1077C2×D4C24×C6116yes—
1078C2×D4C24×C6113yes—
1079C2×D4C24×C6116yes—
1080C2×D4C24×C6116yes—
1081C2×D4C24×C61112yes—
1082C2×D4C24×C6116yes—
1083C2×D4C24×C6116yes—
1084C22×C4C24×C6113yes—
1085C22×C4C24×C6111yescharacteristic
1086C22×C4C24×C6116yes—
1087C22×C4C24×C6113yes—
1088C22×C4C24×C6113yes—
1089C22×C4C24×C6113yes—
1090C22×C4C24×C6113yes—
1091C22×C4C24×C6116yes—
1092C22×C4C24×C6113yes—
1093C22×C4C24×C6116yes—
1094C22×C4C24×C6113yes—
1095C22×C4C24×C6116yes—
1096C22×C4C24×C6116yes—
1097C22×C4C24×C6113yes—
1098C22×C4C24×C61112yes—
1099C22×C4C24×C61112yes—
1100C22×C4C24×C61112yes—
1101C4⋊C4C24×C6113yes—
1102C4⋊C4C24×C6113yes—
1103C4⋊C4C24×C6113yes—
1104C4⋊C4C24×C6116yes—
1105C4⋊C4C24×C6111yescharacteristic
1106C4⋊C4C24×C6112yes—
1107C4⋊C4C24×C6113yes—
1108C4⋊C4C24×C6116yes—
1109C4⋊C4C24×C6113yes—
1110C4⋊C4C24×C61112yes—
1111C4⋊C4C24×C6116yes—
1112C4⋊C4C24×C6116yes—
1113C4⋊C4C24×C6116yes—
1114C4⋊C4C24×C6116yes—
1115C4⋊C4C24×C6116yes—
1116C4⋊C4C24×C6116yes—
1117C4⋊C4C24×C6116yes—
1118C4⋊C4C24×C6113yes—
1119C4⋊C4C24×C6116yes—
1120C4⋊C4C24×C61112yes—
1121C4⋊C4C24×C61112yes—
1122C4⋊C4C24×C6116yes—
1123C4⋊C4C24×C6116yes—
1124C4⋊C4C24×C6116yes—
1125C4⋊C4C24×C6116yes—
1126C4⋊C4C24×C6113yes—
1127C4⋊C4C24×C6113yes—
1128C4⋊C4C24×C6111yescharacteristic
1129C4⋊C4C24×C6112yes—
1130C4⋊C4C24×C6112yes—
1131C4⋊C4C24×C6112yes—
1132C4⋊C4C24×C6112yes—
1133C4⋊C4C24×C6116yes—
1134C4⋊C4C24×C6111yescharacteristic
1135C4⋊C4C24×C6111yescharacteristic
1136C4⋊C4C24×C6116yes—
1137C4⋊C4C24×C6113yes—
1138C4⋊C4C24×C6113yes—
1139C4⋊C4C24×C6116yes—
1140C4⋊C4C24×C6116yes—
1141C4⋊C4C24×C6112yes—
1142C4⋊C4C24×C6116yes—
1143C4⋊C4C24×C6116yes—
1144C4⋊C4C24×C6112yes—
1145C4⋊C4C24×C6116yes—
1146C4⋊C4C24×C6112yes—
1147C22⋊C4C24×C6116yes—
1148C22⋊C4C24×C6112yes—
1149C22⋊C4C24×C6116yes—
1150C22⋊C4C24×C6116yes—
1151C22⋊C4C24×C6116yes—
1152C22⋊C4C24×C6113yes—
1153C22⋊C4C24×C6111yescharacteristic
1154C22⋊C4C24×C6113yes—
1155C22⋊C4C24×C6111yescharacteristic
1156C22⋊C4C24×C6116yes—
1157C22⋊C4C24×C6116yes—
1158C22⋊C4C24×C6116yes—
1159C22⋊C4C24×C61112yes—
1160C22⋊C4C24×C6116yes—
1161C22⋊C4C24×C6116yes—
1162C22⋊C4C24×C61112yes—
1163C22⋊C4C24×C6116yes—
1164C22⋊C4C24×C6116yes—
1165C22⋊C4C24×C6116yes—
1166C22⋊C4C24×C6113yes—
1167C22⋊C4C24×C6116yes—
1168C22⋊C4C24×C6116yes—
1169C22⋊C4C24×C61112yes—
1170C22⋊C4C24×C6113yes—
1171C22⋊C4C24×C6116yes—
1172C22⋊C4C24×C6116yes—
1173C22⋊C4C24×C6112yes—
1174C22⋊C4C24×C6116yes—
1175C42C24×C6111yescharacteristic
1176C42C24×C6111yescharacteristic
1177C42C24×C6113yes—
1178C42C24×C6113yes—
1179C42C24×C6112yes—
1180C42C24×C6112yes—
1181C42C24×C6116yes—
1182C42C24×C6116yes—
1183C42C24×C6113yes—
1184C42C24×C6113yes—
1185C42C24×C6116yes—
1186C42C24×C6113yes—
1187C42C24×C6113yes—
1188C42C24×C6116yes—
1189C42C24×C6116yes—
1190C42C24×C6113yes—
1191C42C24×C6113yes—
1192C42C24×C61112yes—
1193C23C25×C6111yescharacteristic
1194C23C25×C6113yes—
1195C23C25×C6113yes—
1196C23C25×C6116yes—
1197Q8—26no—
1198Q8—22no—
1199Q8—26no—
1200Q8—22no—
1201Q8—46no—
1202Q8—46no—
1203Q8—46no—
1204Q8—46no—
1205Q8—43no—
1206Q8—46no—
1207Q82−1+4×C6114yes—
1208D4—26no—
1209D4—26no—
1210D4—212no—
1211D4—26no—
1212D4—43no—
1213D4—43no—
1214D4—43no—
1215D4—46no—
1216D4—412no—
1217D4—46no—
1218D4—46no—
1219D4—46no—
1220D4—46no—
1221D4—412no—
1222C2×C4—26no—
1223C2×C4—26no—
1224C2×C4—212no—
1225C2×C4—26no—
1226C2×C4—26no—
1227C2×C4—26no—
1228C2×C4—22no—
1229C2×C4—46no—
1230C2×C4—43no—
1231C2×C4—412no—
1232C2×C4—412no—
1233C2×C4—46no—
1234C2×C4—43no—
1235C2×C4—46no—
1236C2×C4—412no—
1237C2×C4—43no—
1238C2×C4—46no—
1239C2×C4C25×C6111yescharacteristic
1240C2×C4C25×C6113yes—
1241C2×C4C25×C6111yescharacteristic
1242C2×C4C25×C6111yescharacteristic
1243C2×C4C25×C6111yescharacteristic
1244C2×C4C25×C6112yes—
1245C2×C4C25×C6112yes—
1246C2×C4C25×C6111yescharacteristic
1247C2×C4C25×C6113yes—
1248C2×C4C25×C6116yes—
1249C2×C4C25×C6113yes—
1250C2×C4C25×C6116yes—
1251C2×C4C25×C6112yes—
1252C2×C4C25×C6112yes—
1253C2×C4C25×C6113yes—
1254C2×C4C25×C6116yes—
1255C2×C4C25×C6113yes—
1256C2×C4C25×C6113yes—
1257C2×C4C25×C6111yescharacteristic
1258C22—21no—
1259C22—23no—
1260C22—23no—
1261C22—26no—
1262C22—23no—
1263C22—21no—
1264C22—23no—
1265C22—26no—
1266C22—23no—
1267C22—21no—
1268C22—23no—
1269C22—26no—
1270C22C26×C6111yescharacteristic
1271C4—21no—
1272C4—21no—
1273C4—22no—
1274C4—23no—
1275C4—23no—
1276C4—23no—
1277C4—21no—
1278C4—22no—
1279C4—26no—
1280C4—22no—
1281C4—21no—
1282C4—23no—
1283C4—26no—
1284C4—22no—
1285C4—23no—
1286C4—26no—
1287C4—21no—
1288C4C2×2−1+4×C6116yes—
1289C4C61×#58512yes—
1290C2—41no—
1291C2—43no—
1292C2—43no—
1293C2—46no—
1294C2C22×2−1+4×C6111yescharacteristic
1295C2C2×C61×#58511yescharacteristic
1296C2C61×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×#3565C2semidirect
2. C61×#3559C2semidirect
3. C61×#3554C2semidirect
4. C61×#3554C2semidirect
5. C61×#3548C2semidirect
6. C61×#3547C2semidirect
7. C61×#3547C2semidirect
8. C61×#3544C2semidirect
9. C61×#3524C2semidirect
10. C61×#3524C2semidirect
11. C61×#3522C2semidirect
12. C61×#3522C2semidirect
13. C61×#3517C2semidirect
14. C61×#3517C2semidirect
15. C61×#3515C2semidirect
16. C61×#3511C2semidirect
17. C61×#3504C2semidirect
18. C61×#3503C2semidirect
19. C61×#3502C2semidirect
20. C61×#3483C2semidirect
21. C61×#3480C2semidirect
22. Q8×#41×C61C2semidirect
23. C61×#3461C2semidirect
609. #62952C61direct (N × H)
642. #3565C2×C61semidirect
643. #3559C2×C61semidirect
644. #3554C2×C61semidirect
645. #3554C2×C61semidirect
646. #3548C2×C61semidirect
647. #3547C2×C61semidirect
648. #3547C2×C61semidirect
649. #3544C2×C61semidirect
650. #3524C2×C61semidirect
651. #3524C2×C61semidirect
652. #3522C2×C61semidirect
653. #3522C2×C61semidirect
654. #3517C2×C61semidirect
655. #3517C2×C61semidirect
656. #3515C2×C61semidirect
657. #3511C2×C61semidirect
658. #3504C2×C61semidirect
659. #3503C2×C61semidirect
660. #3502C2×C61semidirect
661. #3483C2×C61semidirect
662. #3480C2×C61semidirect
663. Q8×#41C2×C61semidirect
664. #3461C2×C61semidirect
806. C61#62952direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#35652
C61×#35592
C61×#35542
C61×#35482
C61×#35472
C61×#35442
C61×#35242
C61×#35222
C61×#35172
C61×#35152
C61×#35112
C61×#35042
C61×#35032
C61×#35022
C61×#34832
C61×#34802
Q8×#41×C612
C61×#34612
#6295261