Finite Group Databasebeta

← #30576121

Subgroups — #30576121

Order 15616.

1832 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459719C211yesmaximal, characteristic, complemented
2#21459424C211yesmaximal, characteristic, complemented
3#21458778C211yesmaximal, characteristic, complemented
4#21458772C211yesmaximal, characteristic, complemented
5#21458571C211yesmaximal, characteristic, complemented
6#21458569C211yesmaximal, characteristic, complemented
7#21458321C211yesmaximal, characteristic, complemented
8#21458319C211yesmaximal, characteristic, complemented
9#21458299C211yesmaximal, characteristic, complemented
10#21458297C211yesmaximal, characteristic, complemented
11#21458216C211yesmaximal, characteristic, complemented
12#21458214C211yesmaximal, characteristic, complemented
13#21457975C211yesmaximal, characteristic, complemented
14#21457961C211yesmaximal, characteristic, complemented
15#21457953C211yesmaximal, characteristic, complemented
16#21457670C211yesmaximal, characteristic, complemented
17#21457662C211yesmaximal, characteristic, complemented
18#21457176C211yesmaximal, characteristic, complemented
19#21457142C211yesmaximal, characteristic, complemented
20#21457125C211yesmaximal, characteristic, complemented
21#21457045C211yesmaximal, characteristic, complemented
22#21457014C211yesmaximal, characteristic, complemented
23#21457001C211yesmaximal, characteristic, complemented
24#21455963C211yesmaximal, characteristic, complemented
25#21455908C211yesmaximal, characteristic, complemented
26#21455814C211yesmaximal, characteristic, complemented
27#21455613C211yesmaximal, characteristic, complemented
28#21455603C211yesmaximal, characteristic, complemented
29#474×D61C211yesmaximal, characteristic, complemented
30#21454939C211yesmaximal, characteristic, complemented
31C61×#3319C211yesmaximal, characteristic, complemented
32#16840494C2211yescharacteristic
33#16840480—21no—
34#16840477C2211yescharacteristic, complemented
35#16840473C2211yescharacteristic, complemented
36#16840471C2211yescharacteristic
37#16840470C2211yescharacteristic
38#16840469C2211yescharacteristic, complemented
39#16840459C2211yescharacteristic
40#16840459C2211yescharacteristic
41#16840459C2211yescharacteristic, complemented
42#16840458C2211yescharacteristic
43#16840456C2211yescharacteristic
44#16840456C2211yescharacteristic, complemented
45#16840455—21no—
46#16840438—21no—
47#16840435—21no—
48#16840420—21no—
49#16840420—21no—
50#16840412—21no—
51#16840400C2211yescharacteristic
52#16840399—21no—
53D4×C22⋊D61C2211yescharacteristic
54#16840376—21no—
55#16840376—21no—
56#16840341—21no—
57#16840315C2211yescharacteristic, complemented
58#16840315C2211yescharacteristic, complemented
59#16840309C2211yescharacteristic, complemented
60#16840307C2211yescharacteristic
61#16840307C2211yescharacteristic, complemented
62#16840307C2211yescharacteristic, complemented
63C4⋊Q8×D61C2211yescharacteristic, complemented
64#16840298C2211yescharacteristic
65#16840291C2211yescharacteristic
66#16840289—21no—
67#16840272—21no—
68#16840268—21no—
69#16840242—21no—
70#41×Dic61C2211yescharacteristic
71C4×#11758224C2211yescharacteristic
72C2×D4×Dic61C2211yescharacteristic
73C2×#14519737—21no—
74C4×D4×D61C2211yescharacteristic
75#16840171C2211yescharacteristic, complemented
76#16840170C2211yescharacteristic, complemented
77#16840169C2211yescharacteristic, complemented
78#16840168C2211yescharacteristic, complemented
79#16840163C2211yescharacteristic, complemented
80#16840162C2211yescharacteristic, complemented
81#16840125C2211yescharacteristic
82#16840125C2211yescharacteristic
83#16840121C2211yescharacteristic, complemented
84#16840118C2211yescharacteristic, complemented
85#16840118C2211yescharacteristic, complemented
86#16840100C2211yescharacteristic, complemented
87#16840096C2211yescharacteristic, complemented
88#16840096C2211yescharacteristic, complemented
89#16840087C2211yescharacteristic
90#16840087C2211yescharacteristic, complemented
91#16840087C2211yescharacteristic, complemented
92#16840086C2211yescharacteristic
93#16840086C2211yescharacteristic, complemented
94#16840083C2211yescharacteristic, complemented
95#16840083C2211yescharacteristic, complemented
96#16840082C2211yescharacteristic, complemented
97#16840079C2211yescharacteristic
98#16840079C2211yescharacteristic
99#16840079C2211yescharacteristic, complemented
100#16840076C2211yescharacteristic, complemented
101#16840073C2211yescharacteristic, complemented
102#16840071C2211yescharacteristic, complemented
103#16840067C2211yescharacteristic, complemented
104#16840065C2211yescharacteristic, complemented
105#16840064C2211yescharacteristic
106#16840064C2211yescharacteristic
107#16840064C2211yescharacteristic, complemented
108#16840064C2211yescharacteristic, complemented
109#16840063C2211yescharacteristic, complemented
110#16840062C2211yescharacteristic, complemented
111#16840060C2211yescharacteristic
112#16840060C2211yescharacteristic
113#16840060C2211yescharacteristic, complemented
114#16840055C2211yescharacteristic, complemented
115#16840051C2211yescharacteristic, complemented
116#16840050C2211yescharacteristic
117#16840050C2211yescharacteristic, complemented
118#16840045C2211yescharacteristic, complemented
119#16840045C2211yescharacteristic, complemented
120#16840043C2211yescharacteristic, complemented
121#16840042C2211yescharacteristic
122#16840041C2211yescharacteristic, complemented
123#16840041C2211yescharacteristic, complemented
124#16840041C2211yescharacteristic, complemented
125#16840040C2211yescharacteristic
126#16840040C2211yescharacteristic
127#16840040C2211yescharacteristic, complemented
128#16840040C2211yescharacteristic, complemented
129#16840040C2211yescharacteristic, complemented
130#16840039C2211yescharacteristic, complemented
131#16840015C2211yescharacteristic
132#16840013C2211yescharacteristic
133#16840010C2211yescharacteristic, complemented
134#16839998C2211yescharacteristic, complemented
135#16839997C2211yescharacteristic
136#16839996C2211yescharacteristic, complemented
137#16839996C2211yescharacteristic, complemented
138#16839995C2211yescharacteristic
139#16839994C2211yescharacteristic, complemented
140#16839988C2211yescharacteristic, complemented
141#16839980C2211yescharacteristic, complemented
142#16839979C2211yescharacteristic, complemented
143#16839974C2211yescharacteristic, complemented
144#16839960C2211yescharacteristic, complemented
145#16839956C2211yescharacteristic
146#16839956C2211yescharacteristic, complemented
147#16839955C2211yescharacteristic
148#16839955C2211yescharacteristic
149#16839955C2211yescharacteristic, complemented
150#16839907C2211yescharacteristic
151#16839897C2211yescharacteristic
152#16839896C2211yescharacteristic
153#16839894C2211yescharacteristic
154#16839891C2211yescharacteristic, complemented
155#16839890C2211yescharacteristic, complemented
156#16839875C2211yescharacteristic, complemented
157#16839874C2211yescharacteristic
158#16839872C2211yescharacteristic
159#16839872C2211yescharacteristic, complemented
160#16839871C2211yescharacteristic
161#16839865C2211yescharacteristic, complemented
162#16839863C2211yescharacteristic, complemented
163D8×Dic61C2211yescharacteristic
164D8×Dic61C2211yescharacteristic, complemented
165#16839842C2211yescharacteristic
166#16839842C2211yescharacteristic, complemented
167#16839836C2211yescharacteristic
168#16839834C2211yescharacteristic, complemented
169#16839831C2211yescharacteristic
170C8×C22⋊D61C2211yescharacteristic, complemented
171#16839825C2211yescharacteristic, complemented
172#16839817C2211yescharacteristic, complemented
173#16839816C2211yescharacteristic, complemented
174#16839812C2211yescharacteristic, complemented
175#16839805C2211yescharacteristic, complemented
176#16839804C2211yescharacteristic, complemented
177#16839800C2211yescharacteristic, complemented
178#16839798C2211yescharacteristic, complemented
179#107×D61C2211yescharacteristic, complemented
180#107×D61C2211yescharacteristic, complemented
181#16839785C2211yescharacteristic, complemented
182C2×#14519706C2211yescharacteristic, complemented
183C4⋊C8×D61C2211yescharacteristic, complemented
184#16839767C2211yescharacteristic
185#16839758C2211yescharacteristic
186#102×D61C2211yescharacteristic
187#102×D61C2211yescharacteristic
188C61×#555C2211yescharacteristic, complemented
189C61×#546C2211yescharacteristic
190C61×#489C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#482C2211yescharacteristic, complemented
193C61×#474C2211yescharacteristic
194C61×#468C2211yescharacteristic, complemented
195C61×#466C2211yescharacteristic, complemented
196C61×#463C2211yescharacteristic, complemented
197C61×#449C2211yescharacteristic
198C61×#447C2211yescharacteristic
199C61×#442C2211yescharacteristic
200C61×#435C2211yescharacteristic, complemented
201C61×#418C2211yescharacteristic
202C61×#416C2211yescharacteristic
203C2×#11758222—21no—
204C2×#11758224—21no—
205C2×#11758224—21no—
206C2×#11758224—21no—
207C2×#11758224D411yescharacteristic
208C2×Q8×D61—21no—
209C22×C22⋊D61—21no—
210C2×D4×D61C2311yescharacteristic
211C23×Dic61—21no—
212C22×C4×D61—21no—
213C2×#11758201C2311yescharacteristic
214C2×D488C2311yescharacteristic
215C2×#11758199C2311yescharacteristic
216C2×#11758199C2311yescharacteristic
217C2×#11758199C2311yescharacteristic
218C2×#11758194C2311yescharacteristic
219C22×#92418C2311yescharacteristic
220C2×C8×D61C2311yescharacteristic
221C2×C8×D61C2311yescharacteristic
222#14519777C2311yescharacteristic
223#14519776—21no—
224#14519776C2311yescharacteristic
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519775—21no—
229#14519773C2311yescharacteristic
230#14519773C2311yescharacteristic
231#14519772—21no—
232#14519772—21no—
233#14519771—21no—
234#14519771—21no—
235#14519770—21no—
236#14519770—21no—
237#14519770—21no—
238#14519770—21no—
239#14519769C2311yescharacteristic
240#14519768C2311yescharacteristic
241#14519768C2311yescharacteristic
242#14519768C2311yescharacteristic
243#14519768C2311yescharacteristic
244#14519768C2311yescharacteristic
245#14519767—21no—
246#14519766C2311yescharacteristic
247#14519763—21no—
248#14519763—21no—
249#14519763—21no—
250#14519763—21no—
251#14519763—21no—
252#14519763—21no—
253#14519763—21no—
254#14519761—21no—
255#14519761—21no—
256#14519760—21no—
257#14519759—21no—
258#14519759—21no—
259#14519759—21no—
260#14519759—21no—
261#14519759—21no—
262#14519758—21no—
263#14519758—21no—
264#14519758—21no—
265#14519757—21no—
266#14519757—21no—
267#14519756—21no—
268#14519756—21no—
269#14519754—21no—
270#14519754—21no—
271#14519754—21no—
272#14519754—21no—
273#14519754—21no—
274#14519754—21no—
275#14519754—21no—
276#14519754—21no—
277#14519754—21no—
278#14519753—21no—
279#14519753—21no—
280#14519753C2311yescharacteristic
281#14519752C2311yescharacteristic
282#14519751C2311yescharacteristic
283#14519751C2311yescharacteristic
284#14519751C2311yescharacteristic
285#14519751C2311yescharacteristic
286#14519750—21no—
287#14519750—21no—
288#14519750—21no—
289#14519749—21no—
290#14519749—21no—
291#14519749—21no—
292#14519749—21no—
293#14519749—21no—
294#14519749—21no—
295#14519748—21no—
296#14519748—21no—
297#14519748—21no—
298#14519748—21no—
299#14519748C2311yescharacteristic
300#14519748C2311yescharacteristic
301#14519746—21no—
302#14519745—21no—
303#14519745—21no—
304Q8×Dic61C2311yescharacteristic
305Q8×Dic61C2311yescharacteristic
306C4×Dic122—21no—
307C4×Dic122—21no—
308C4×Dic122—21no—
309C4×Dic122—21no—
310C4×Dic122C2311yescharacteristic
311#14519742D411yescharacteristic
312C4×D244—21no—
313C4×D244—21no—
314C4×D244C2311yescharacteristic
315C4×D244C2311yescharacteristic
316D4×Dic61—21no—
317D4×Dic61—21no—
318D4×Dic61—21no—
319D4×Dic61—21no—
320D4×Dic61D411yescharacteristic
321D4×Dic61C2311yescharacteristic
322D4×Dic61C2311yescharacteristic
323D4×Dic61C2311yescharacteristic
324D4×Dic61C2311yescharacteristic
325D4×Dic61C2311yescharacteristic
326D4×Dic61C2311yescharacteristic
327D4×Dic61C2311yescharacteristic
328#14519739C2311yescharacteristic
329#14519739C2311yescharacteristic
330#14519739C2311yescharacteristic
331C4×C22⋊D61—21no—
332C4×C22⋊D61—21no—
333C4×C22⋊D61C2311yescharacteristic
334C4×C22⋊D61C2311yescharacteristic
335#14519737—21no—
336#14519737—21no—
337#14519737—21no—
338#14519737—21no—
339#14519737—21no—
340#14519737—21no—
341#14519737—21no—
342#14519737—21no—
343#14519737—21no—
344#14519737—21no—
345#14519737—21no—
346#14519737—21no—
347#14519737D411yescharacteristic
348#14519737D411yescharacteristic
349#14519736—21no—
350#14519736C2311yescharacteristic
351#14519736C2311yescharacteristic
352#14519736C2311yescharacteristic
353#14519735—21no—
354#14519735—21no—
355#14519735D411yescharacteristic
356#14519733—21no—
357#14519733D411yescharacteristic
358#14519733D411yescharacteristic
359C2×C4⋊Dic61—21no—
360C2×C4⋊Dic61C2311yescharacteristic
361C2×#11758196—21no—
362C4⋊C4×D61—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61C2311yescharacteristic
365C4⋊C4×D61C2311yescharacteristic
366C4⋊C4×D61C2311yescharacteristic
367C2×C22⋊Dic61—21no—
368C2×#11758198—21no—
369C22⋊C4×D61—21no—
370C2×C4×Dic61—21no—
371C2×C4×Dic61C2311yescharacteristic
372C2×C4×Dic61C2311yescharacteristic
373C42×D61C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519710C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519709C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519699C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519698C2311yescharacteristic
414#14519698C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×#41×C61C2311yescharacteristic
436C22×D4×C61C2311yescharacteristic
437C2×SD16×C61C2311yescharacteristic
438C2×D8×C61C2311yescharacteristic
439C2×D8×C61C2311yescharacteristic
440C2×M16×C61C2311yescharacteristic
441C22×C8×C61C2311yescharacteristic
442C4⋊Q8×C61C2311yescharacteristic
443#124×C61—21no—
444#124×C61—21no—
445#124×C61C2311yescharacteristic
446#123×C61—21no—
447C22⋊Q8×C61C2311yescharacteristic
448#121×C61—21no—
449#121×C61—21no—
450#121×C61C2311yescharacteristic
451#121×C61C2311yescharacteristic
452#121×C61C2311yescharacteristic
453#120×C61—21no—
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457#117×C61—21no—
458#117×C61C2311yescharacteristic
459#117×C61C2311yescharacteristic
460C2×C22⋊C4×C61—21no—
461#107×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465#103×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#102×C61C2311yescharacteristic
469#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C24×C61—21no—
479C23×D61—21no—
480#41×C61—22no—
481#41×C61—41no—
482C2×Q8×C61—21no—
483C2×Q8×C61C2411yescharacteristic
484C2×D4×C61—22no—
485C2×D4×C61—21no—
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61—21no—
489C2×D4×C61—21no—
490C2×D4×C61—41no—
491C2×D4×C61C2×D411yescharacteristic
492C2×D4×C61C2411yescharacteristic
493C2×D4×C61C2411yescharacteristic
494C2×D4×C61C2411yescharacteristic
495C22×C4×C61—21no—
496C22×C4×C61—21no—
497C22×C4×C61—21no—
498C22×C4×C61C2411yescharacteristic
499C22×C4×C61C2411yescharacteristic
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61—44no—
512C2×C22⋊D61C2×D411yescharacteristic
513C2×C22⋊D61C2×D411yescharacteristic
514C22×Dic61—21no—
515C22×Dic61—21no—
516C22×Dic61—21no—
517C22×Dic61—21no—
518C22×Dic61—21no—
519C22×Dic61—21no—
520C22×Dic61—21no—
521C22×Dic61—21no—
522C22×Dic61—82no—
523C22×Dic61C2×D411yescharacteristic
524C22×Dic61C2×D411yescharacteristic
525C22×Dic61C2×D411yescharacteristic
526C22×Dic61C2×D411yescharacteristic
527Q8×D61—82no—
528#11758224—42no—
529#11758224—82no—
530#11758224—82no—
531#11758224—82no—
532D4×D61—22no—
533D4×D61—41no—
534#11758222—44no—
535C2×D244—21no—
536C2×D244C2411yescharacteristic
537C2×D244C2411yescharacteristic
538C2×C4×D61—21no—
539C2×C4×D61—21no—
540C2×C4×D61—21no—
541C2×C4×D61—21no—
542C2×C4×D61—21no—
543C2×C4×D61—21no—
544C2×C4×D61—21no—
545C2×C4×D61—21no—
546C2×C4×D61—82no—
547C2×C4×D61C2×D411yescharacteristic
548C2×C4×D61C2×D411yescharacteristic
549C2×C4×D61C2411yescharacteristic
550C2×Dic122—21no—
551C2×Dic122—21no—
552C2×Dic122—21no—
553C2×Dic122—21no—
554C2×Dic122—21no—
555C2×Dic122C2×D411yescharacteristic
556SD16×C61—41no—
557D8×C61—22no—
558D8×C61—41no—
559M16×C61—41no—
560C2×C8×C61—41no—
561C2×C8×C61C2411yescharacteristic
562C2×C8×C61C2411yescharacteristic
563C2×C8×C61C2411yescharacteristic
564C2×C8×C61C2411yescharacteristic
565C4⋊C4×C61—21no—
566C4⋊C4×C61—21no—
567C4⋊C4×C61C2×D411yescharacteristic
568C4⋊C4×C61C2411yescharacteristic
569C4⋊C4×C61C2411yescharacteristic
570C4⋊C4×C61C2411yescharacteristic
571C4⋊C4×C61C2411yescharacteristic
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C22⋊C4×C61—21no—
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C22⋊C4×C61—21no—
579C22⋊C4×C61—21no—
580C22⋊C4×C61—21no—
581C22⋊C4×C61—21no—
582C22⋊C4×C61C2×D411yescharacteristic
583C22⋊C4×C61C2×D411yescharacteristic
584C42×C61—21no—
585C42×C61—21no—
586C42×C61C2411yescharacteristic
587C22⋊Dic61—21no—
588C22⋊Dic61—21no—
589C22⋊Dic61—21no—
590C22⋊Dic61—21no—
591C22⋊Dic61—21no—
592C22⋊Dic61—21no—
593C22⋊Dic61—21no—
594C22⋊Dic61—21no—
595C22⋊Dic61—21no—
596C22⋊Dic61—21no—
597C22⋊Dic61—21no—
598C22⋊Dic61—21no—
599C22⋊Dic61C2×D411yescharacteristic
600C22⋊Dic61C2×D411yescharacteristic
601#11758201—41no—
602#11758199—22no—
603#11758199—41no—
604#11758199—41no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198—21no—
609#11758198—21no—
610#11758198—21no—
611#11758198—21no—
612#11758198—21no—
613#11758198—21no—
614#11758198—21no—
615#11758198—21no—
616#11758198—21no—
617#11758198—21no—
618#11758198C2×D411yescharacteristic
619#11758198C2×D411yescharacteristic
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61—21no—
623C4⋊Dic61—21no—
624C4⋊Dic61—21no—
625C4⋊Dic61—21no—
626C4⋊Dic61—21no—
627C4⋊Dic61—21no—
628C4⋊Dic61—21no—
629C4⋊Dic61C2×D411yescharacteristic
630C4⋊Dic61C2411yescharacteristic
631C4⋊Dic61C2411yescharacteristic
632C4⋊Dic61C2411yescharacteristic
633C4⋊Dic61C2411yescharacteristic
634C4⋊Dic61C2411yescharacteristic
635C4⋊Dic61C2411yescharacteristic
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196—21no—
650#11758196—21no—
651#11758196C2×D411yescharacteristic
652#11758196C2×D411yescharacteristic
653#11758196C2×D411yescharacteristic
654#11758196C2×D411yescharacteristic
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61—21no—
659C4×Dic61—21no—
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2×D411yescharacteristic
662C4×Dic61C2×D411yescharacteristic
663C4×Dic61C2×D411yescharacteristic
664C4×Dic61C2×D411yescharacteristic
665C4×Dic61C2×D411yescharacteristic
666C4×Dic61C2411yescharacteristic
667C4×Dic61C2411yescharacteristic
668C4×Dic61C2411yescharacteristic
669#11758194—41no—
670C2×#92418—41no—
671C2×#92418C2411yescharacteristic
672C2×#92418C2411yescharacteristic
673C2×#92418C2411yescharacteristic
674C2×#92418C2411yescharacteristic
675D488—41no—
676C8×D61—41no—
677C8×D61—41no—
678C23×C61—21no—
679C23×C61—21no—
680C23×C61—21no—
681C23×C61—42no—
682C23×C61—42no—
683C23×C61—81no—
684C23×C61C22×D411yescharacteristic
685C23×C61C22×D411yescharacteristic
686C22×D61—21no—
687C22×D61—21no—
688C22×D61—42no—
689C22×D61—42no—
690C22×D61—81no—
691C22×D61C22×D411yescharacteristic
692Q8×C61—21no—
693Q8×C61—21no—
694Q8×C61—81no—
695D4×C61—21no—
696D4×C61—21no—
697D4×C61—21no—
698D4×C61—21no—
699D4×C61—21no—
700D4×C61—41no—
701D4×C61—42no—
702D4×C61—42no—
703D4×C61—81no—
704D4×C61—81no—
705D4×C61—81no—
706D4×C612−1+412yes—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—42no—
717C2×C4×C61—42no—
718C2×C4×C61—81no—
719C2×C4×C61C22×D411yescharacteristic
720C2×C4×C61C22×D411yescharacteristic
721C2×C4×C61C22×D411yescharacteristic
722C2×C4×C61C22×D411yescharacteristic
723C2×C4×C61C2511yescharacteristic
724C22⋊D61—22no—
725C22⋊D61—22no—
726C22⋊D61—42no—
727C22⋊D61—42no—
728C22⋊D61—42no—
729C22⋊D61—42no—
730C22⋊D61—42no—
731C22⋊D61—42no—
732C22⋊D61—42no—
733C22⋊D61—81no—
734C22⋊D61—81no—
735C22⋊D61—81no—
736C22⋊D61—81no—
737C2×Dic61—22no—
738C2×Dic61—22no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742C2×Dic61—21no—
743C2×Dic61—21no—
744C2×Dic61—21no—
745C2×Dic61—41no—
746C2×Dic61—41no—
747C2×Dic61—42no—
748C2×Dic61—42no—
749C2×Dic61—42no—
750C2×Dic61—81no—
751C2×Dic61—81no—
752C2×Dic61—81no—
753C2×Dic61—81no—
754C2×Dic61—81no—
755C2×Dic61C22×D411yescharacteristic
756C2×Dic61C22×D411yescharacteristic
757C2×Dic61C22×D411yescharacteristic
758C2×Dic61C22×D411yescharacteristic
759C2×Dic61C22×D411yescharacteristic
760C2×Dic61C22×D411yescharacteristic
761C2×Dic61C22×D411yescharacteristic
762D244—21no—
763D244—21no—
764D244—21no—
765D244—21no—
766D244—42no—
767C4×D61—22no—
768C4×D61—21no—
769C4×D61—21no—
770C4×D61—22no—
771C4×D61—42no—
772C4×D61—42no—
773C4×D61—81no—
774C4×D61—81no—
775C4×D61—81no—
776C4×D61—81no—
777C4×D61—81no—
778C4×D61—81no—
779Dic122—41no—
780Dic122—42no—
781Dic122—42no—
782Dic122—42no—
783Dic122—81no—
784Dic122—81no—
785C8×C61—21no—
786C8×C61—21no—
787C8×C61—21no—
788C8×C61—21no—
789#92418—21no—
790#92418—21no—
791#92418—21no—
792#92418—21no—
793#62125—611nomaximal, Sylow
794C22×C61—22no—
795C22×C61—21no—
796C22×C61—21no—
797C22×C61—21no—
798C22×C61—21no—
799C22×C61—21no—
800C22×C61—21no—
801C22×C61—41no—
802C22×C61—41no—
803C22×C61—41no—
804C22×C61—41no—
805C22×C61—41no—
806C22×C61—41no—
807C22×C61—41no—
808C22×C61—41no—
809C22×C61—84no—
810C22×C61C23×D411yescharacteristic
811C2×D61—21no—
812C2×D61—21no—
813C2×D61—41no—
814C2×D61—41no—
815C2×D61—41no—
816C2×D61—41no—
817C2×D61—41no—
818C2×D61—41no—
819C2×D61—84no—
820C2×D61#57512yes—
821C4×C61—21no—
822C4×C61—21no—
823C4×C61—21no—
824C4×C61—21no—
825C4×C61—41no—
826C4×C61—41no—
827C4×C61—41no—
828C4×C61—41no—
829C4×C61—41no—
830C4×C61C2×2−1+411yescharacteristic
831C4×C61#58511yescharacteristic
832Dic61—21no—
833Dic61—21no—
834Dic61—21no—
835Dic61—21no—
836Dic61—21no—
837Dic61—21no—
838Dic61—41no—
839Dic61—41no—
840Dic61—41no—
841Dic61—41no—
842Dic61—41no—
843Dic61—41no—
844Dic61#57612yes—
845#3511—611no—
846#3481—611no—
847#3389—611no—
848#3389—611no—
849#3370—611no—
850#3370—611no—
851#3347—611no—
852#3347—611no—
853#3346—611no—
854#3346—611no—
855#3339—611no—
856#3339—611no—
857#3319—611no—
858#3319D6111yescharacteristic, complemented
859#3318—611no—
860#3318—611no—
861#3297—611no—
862#3297—611no—
863#3251—611no—
864#3247—611no—
865#3245—611no—
866#3239—611no—
867#3235—611no—
868#3233—611no—
869#3115—611no—
870#3109—611no—
871#3100—611no—
872#3077—611no—
873#3076—611no—
874C2×#474—611no—
875#2990—611no—
876C2×C61—42no—
877C2×C61—41no—
878C2×C61—41no—
879C2×C61—81no—
880C2×C61—81no—
881C2×C61#348911yescharacteristic
882C2×C61C2×#57511yescharacteristic
883C2×C61C2×#57611yescharacteristic
884D61—22no—
885D61—81no—
886D61—81no—
887#559—611no—
888#556—1221no—
889#555—611no—
890#555C2×D6111yescharacteristic, complemented
891#554—611no—
892#554—611no—
893#554—611no—
894#554—611no—
895#553—611no—
896#553—611no—
897#553—611no—
898#553—611no—
899#553—611no—
900#553—611no—
901#553—1221no—
902#551—1221no—
903#551—1221no—
904#548—1221no—
905#548—1221no—
906#547—1221no—
907#546—611no—
908#546—1221no—
909#546C2×D6111yescharacteristic
910D42—611no—
911#542—1221no—
912#542—1221no—
913#537—1221no—
914#533—611no—
915#533—611no—
916#532—611no—
917#532—611no—
918#532—611no—
919#532—611no—
920C2×C4⋊Q8—611no—
921#529—611no—
922#529—611no—
923#529—1221no—
924#525—1221no—
925#525—1221no—
926#520—1221no—
927C4×#41—611no—
928C4×#41—611no—
929C2×C4×D4—611no—
930C2×C4×D4—611no—
931C2×C4×D4—1221no—
932#501—611no—
933#501—611no—
934#501—611no—
935#501—611no—
936#499—611no—
937#499—611no—
938#490—611no—
939#490—611no—
940#489—611no—
941#489C2×D6111yescharacteristic, complemented
942#488—611no—
943#488—611no—
944#485—611no—
945#485C2×D6111yescharacteristic, complemented
946#484—611no—
947#484—611no—
948#482—611no—
949#482—611no—
950#482—611no—
951#482—611no—
952#482—611no—
953#482—611no—
954#482—611no—
955#482C2×D6111yescharacteristic, complemented
956#481—611no—
957#481—611no—
958#481—611no—
959#481—611no—
960#480—611no—
961#480—611no—
962#479—611no—
963#479—611no—
964#478—611no—
965#478—611no—
966#478—611no—
967#478—611no—
968#478—611no—
969#478—611no—
970#478—611no—
971#478—611no—
972#478—611no—
973#478—611no—
974#477—611no—
975#476—611no—
976#476—611no—
977#476—611no—
978#475—611no—
979#475—611no—
980#474—611no—
981#474—611no—
982#474—611no—
983#474—611no—
984#474—611no—
985#474—611no—
986#474—611no—
987#474—611no—
988#474—611no—
989#474—611no—
990#474—611no—
991#474C2×D6111yescharacteristic
992#469—611no—
993#469—611no—
994#468—611no—
995#468C2×D6111yescharacteristic, complemented
996#466—611no—
997#466—611no—
998#466—611no—
999#466—611no—
1000#466—611no—
1001#466C2×D6111yescharacteristic, complemented
1002#465—611no—
1003#465—611no—
1004#463—611no—
1005#463—611no—
1006#463—611no—
1007#463C2×D6111yescharacteristic, complemented
1008#460—611no—
1009#459—611no—
1010#459—611no—
1011#459—611no—
1012#459—611no—
1013#459—611no—
1014#449—611no—
1015#449C2×D6111yescharacteristic
1016#447—611no—
1017#447—611no—
1018#447—611no—
1019#447C2×D6111yescharacteristic
1020#446—611no—
1021#446—611no—
1022#442—611no—
1023#442—611no—
1024#442—611no—
1025#442—611no—
1026#442—611no—
1027#442C2×D6111yescharacteristic
1028#440—611no—
1029#440—611no—
1030C4×D8—611no—
1031C4×D8—611no—
1032C4×D8—611no—
1033C4×D8—611no—
1034#435—611no—
1035#435—611no—
1036#435—611no—
1037#435C2×D6111yescharacteristic, complemented
1038C8×D4—611no—
1039C8×D4—611no—
1040#432—611no—
1041#432—611no—
1042#431—611no—
1043#428—611no—
1044#428—611no—
1045#427—611no—
1046#427—611no—
1047C2×#107—611no—
1048C2×#107—611no—
1049#423—611no—
1050C2×C4⋊C8—611no—
1051C2×C4⋊C8—611no—
1052#418—611no—
1053#418C2×D6111yescharacteristic
1054#416—611no—
1055#416C2×D6111yescharacteristic
1056C2×#102—611no—
1057C2×#102—611no—
1058C61#6212511yescharacteristic, complemented, Sylow
1059C2×#41—611no—
1060C2×#41—1221no—
1061C2×#41—1221no—
1062C2×#41—1221no—
1063C2×#41—1221no—
1064C2×#41C22×D6111yescharacteristic
1065C22×Q8—1221no—
1066C22×D4—611no—
1067C22×D4—1221no—
1068C22×D4C22×D6111yescharacteristic
1069C23×C4—1221no—
1070C23×C4—1221no—
1071C2×SD16—611no—
1072C2×SD16C22×D6111yescharacteristic
1073C2×D8—611no—
1074C2×D8—611no—
1075C2×D8—611no—
1076C2×D8—611no—
1077C2×D8C22×D6111yescharacteristic
1078C2×D8C22×D6111yescharacteristic
1079C2×M16—611no—
1080C2×M16C22×D6111yescharacteristic
1081C22×C8—611no—
1082C22×C8—611no—
1083C22×C8—611no—
1084C22×C8C22×D6111yescharacteristic
1085C4⋊Q8—611no—
1086C4⋊Q8—611no—
1087C4⋊Q8—611no—
1088C4⋊Q8—611no—
1089C4⋊Q8—611no—
1090C4⋊Q8—1221no—
1091C4⋊Q8—1221no—
1092C4⋊Q8C22×D6111yescharacteristic
1093#127—611no—
1094#127—611no—
1095#126—1221no—
1096#126—1221no—
1097#126—1221no—
1098#126—1221no—
1099#126—1221no—
1100#126—1221no—
1101#126—1221no—
1102#126—1221no—
1103#125—611no—
1104#125—611no—
1105#125—611no—
1106#125—611no—
1107#125—611no—
1108#125—611no—
1109#125—1221no—
1110#124—21no—
1111#124—21no—
1112#124—611no—
1113#124—1221no—
1114#124—1221no—
1115#124—1221no—
1116#124—1221no—
1117#124—1221no—
1118#124—1221no—
1119#124—1221no—
1120#124C22×D6111yescharacteristic
1121#123—21no—
1122#123—1221no—
1123#123—1221no—
1124#123—1221no—
1125#123—1221no—
1126#123—1221no—
1127#123—1221no—
1128#123—1221no—
1129#123—1221no—
1130#123—1221no—
1131#123—1221no—
1132#123—1221no—
1133C22⋊Q8—611no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊Q8—1221no—
1141C22⋊Q8—1221no—
1142C22⋊Q8—1221no—
1143C22⋊Q8—1221no—
1144C22⋊Q8—1221no—
1145C22⋊Q8—1221no—
1146C22⋊Q8—1221no—
1147C22⋊Q8—1221no—
1148C22⋊Q8—1221no—
1149C22⋊Q8C22×D6111yescharacteristic
1150#121—21no—
1151#121—21no—
1152#121—611no—
1153#121—611no—
1154#121—611no—
1155#121—611no—
1156#121—611no—
1157#121—611no—
1158#121—611no—
1159#121—1221no—
1160#121—1221no—
1161#121—1221no—
1162#121—1221no—
1163#121—1221no—
1164#121—1221no—
1165#121—1221no—
1166#121—1221no—
1167#121—1221no—
1168#121—1221no—
1169#121—1221no—
1170#121—1221no—
1171#121—1221no—
1172#121C22×D6111yescharacteristic
1173#121C22×D6111yescharacteristic
1174#121C22×D6111yescharacteristic
1175#120—21no—
1176#120—1221no—
1177#120—1221no—
1178#120—1221no—
1179C4×Q8—611no—
1180C4×Q8—611no—
1181C4×Q8—611no—
1182C4×Q8—611no—
1183C4×Q8—1221no—
1184C4×Q8—1221no—
1185C4×Q8—1221no—
1186C4×Q8—1221no—
1187C4×D4—611no—
1188C4×D4—611no—
1189C4×D4—611no—
1190C4×D4—611no—
1191C4×D4—611no—
1192C4×D4—611no—
1193C4×D4—611no—
1194C4×D4—611no—
1195C4×D4—611no—
1196C4×D4—611no—
1197C4×D4—611no—
1198C4×D4—611no—
1199C4×D4—611no—
1200C4×D4—611no—
1201C4×D4—611no—
1202C4×D4—611no—
1203C4×D4—611no—
1204C4×D4—1221no—
1205C4×D4—1221no—
1206C4×D4—1221no—
1207C4×D4—1221no—
1208C4×D4—1221no—
1209C4×D4—1221no—
1210C4×D4—1221no—
1211C4×D4—1221no—
1212C4×D4—1221no—
1213C4×D4—1221no—
1214C4×D4—1221no—
1215C4×D4—1221no—
1216C4×D4—1221no—
1217C4×D4—1221no—
1218C4×D4—1221no—
1219C4×D4—1221no—
1220C4×D4—1221no—
1221C4×D4—1221no—
1222C4×D4—1221no—
1223C4×D4—1221no—
1224C4×D4C22×D6111yescharacteristic
1225C4×D4C22×D6111yescharacteristic
1226C4×D4C22×D6111yescharacteristic
1227#117—21no—
1228#117—611no—
1229#117—611no—
1230#117—611no—
1231#117—611no—
1232#117—611no—
1233#117—611no—
1234#117—1221no—
1235#117—1221no—
1236#117—1221no—
1237#117—1221no—
1238#117C22×D6111yescharacteristic
1239#117C22×D6111yescharacteristic
1240C2×C4⋊C4—611no—
1241C2×C4⋊C4—611no—
1242C2×C4⋊C4—611no—
1243C2×C4⋊C4—611no—
1244C2×C4⋊C4—1221no—
1245C2×C4⋊C4—1221no—
1246C2×C4⋊C4—1221no—
1247C2×C4⋊C4—1221no—
1248C2×C22⋊C4—21no—
1249C2×C22⋊C4—1221no—
1250C2×C22⋊C4—1221no—
1251C2×C22⋊C4—1221no—
1252C2×C42—611no—
1253C2×C42—611no—
1254C2×C42—611no—
1255C2×C42—1221no—
1256#107—611no—
1257#107—611no—
1258#107—611no—
1259#107—611no—
1260#107—611no—
1261#107—611no—
1262#107—611no—
1263#107—611no—
1264#107—611no—
1265#107—611no—
1266#107—611no—
1267#107—611no—
1268#107C22×D6111yescharacteristic
1269#107C22×D6111yescharacteristic
1270#106—611no—
1271#106—611no—
1272#106—611no—
1273#106—611no—
1274#106—611no—
1275#106—611no—
1276#106—611no—
1277#106—611no—
1278#106—611no—
1279#106C22×D6111yescharacteristic
1280C4⋊C8—611no—
1281C4⋊C8—611no—
1282C4⋊C8—611no—
1283C4⋊C8—611no—
1284C4⋊C8—611no—
1285C4⋊C8—611no—
1286C4⋊C8—611no—
1287C4⋊C8—611no—
1288C4⋊C8—611no—
1289C4⋊C8C22×D6111yescharacteristic
1290#103—611no—
1291#103—611no—
1292#103—611no—
1293#103C22×D6111yescharacteristic
1294#103C22×D6111yescharacteristic
1295#103C22×D6111yescharacteristic
1296#102—611no—
1297#102—611no—
1298#102—611no—
1299#102—611no—
1300#102—611no—
1301#102—611no—
1302#102—611no—
1303#102—611no—
1304#102—611no—
1305#102—611no—
1306#102—611no—
1307#102—611no—
1308#102—611no—
1309#102—611no—
1310#102—611no—
1311#102—611no—
1312#102—611no—
1313#102—611no—
1314#102—611no—
1315#102C22×D6111yescharacteristic
1316#102C22×D6111yescharacteristic
1317#102C22×D6111yescharacteristic
1318#102C22×D6111yescharacteristic
1319#102C22×D6111yescharacteristic
1320#102C22×D6111yescharacteristic
1321#102C22×D6111yescharacteristic
1322C22⋊C8—611no—
1323C22⋊C8—611no—
1324C22⋊C8—611no—
1325C22⋊C8—611no—
1326C22⋊C8C22×D6111yescharacteristic
1327C22⋊C8C22×D6111yescharacteristic
1328#97—611no—
1329#97—611no—
1330#97—611no—
1331#97C22×D6111yescharacteristic
1332C4×C8—611no—
1333C4×C8—611no—
1334C24—21no—
1335C24—1221no—
1336#41—22no—
1337#41—41no—
1338#41—4882no—
1339#41—4882no—
1340#41—4882no—
1341#41—2444no—
1342#41—2442no—
1343C2×Q8—21no—
1344C2×Q8—611no—
1345C2×Q8—1221no—
1346C2×Q8—1221no—
1347C2×Q8—1221no—
1348C2×Q8—1221no—
1349C2×Q8—1221no—
1350C2×Q8—4882no—
1351C2×Q8C23×D6111yescharacteristic
1352C2×D4—22no—
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—41no—
1359C2×D4—611no—
1360C2×D4—611no—
1361C2×D4—611no—
1362C2×D4—611no—
1363C2×D4—1221no—
1364C2×D4—1221no—
1365C2×D4—1221no—
1366C2×D4—1221no—
1367C2×D4—1221no—
1368C2×D4—1221no—
1369C2×D4—1222no—
1370C2×D4—1221no—
1371C2×D4—1221no—
1372C2×D4—1221no—
1373C2×D4—1221no—
1374C2×D4—1221no—
1375C2×D4—1221no—
1376C2×D4—2441no—
1377C2×D4—2444no—
1378C2×D4D4×D6111yescharacteristic
1379C2×D4C23×D6111yescharacteristic
1380C2×D4C23×D6111yescharacteristic
1381C2×D4C23×D6111yescharacteristic
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—611no—
1386C22×C4—611no—
1387C22×C4—611no—
1388C22×C4—611no—
1389C22×C4—611no—
1390C22×C4—611no—
1391C22×C4—611no—
1392C22×C4—1221no—
1393C22×C4—1221no—
1394C22×C4—1221no—
1395C22×C4—1221no—
1396C22×C4—1221no—
1397C22×C4—1221no—
1398C22×C4—1221no—
1399C22×C4—1221no—
1400C22×C4—1221no—
1401C22×C4—1221no—
1402C22×C4—1221no—
1403C22×C4—1221no—
1404C22×C4—1221no—
1405C22×C4—1221no—
1406C22×C4—1221no—
1407C22×C4—1221no—
1408C22×C4—4882no—
1409C22×C4—4882no—
1410C22×C4C23×D6111yescharacteristic
1411C22×C4C23×D6111yescharacteristic
1412SD16—41no—
1413SD16—2441no—
1414D8—22no—
1415D8—41no—
1416D8—1222no—
1417D8—2441no—
1418D8—2441no—
1419D8—2441no—
1420M16—41no—
1421M16—2441no—
1422C2×C8—41no—
1423C2×C8—611no—
1424C2×C8—611no—
1425C2×C8—611no—
1426C2×C8—611no—
1427C2×C8—2441no—
1428C2×C8—2441no—
1429C2×C8—2441no—
1430C2×C8C23×D6111yescharacteristic
1431C2×C8C23×D6111yescharacteristic
1432C2×C8C23×D6111yescharacteristic
1433C2×C8C23×D6111yescharacteristic
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—611no—
1437C4⋊C4—611no—
1438C4⋊C4—611no—
1439C4⋊C4—611no—
1440C4⋊C4—611no—
1441C4⋊C4—611no—
1442C4⋊C4—611no—
1443C4⋊C4—611no—
1444C4⋊C4—611no—
1445C4⋊C4—611no—
1446C4⋊C4—611no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
1454C4⋊C4—1221no—
1455C4⋊C4—1221no—
1456C4⋊C4—1221no—
1457C4⋊C4—1221no—
1458C4⋊C4—1221no—
1459C4⋊C4—1221no—
1460C4⋊C4—1221no—
1461C4⋊C4—1221no—
1462C4⋊C4—1221no—
1463C4⋊C4—1221no—
1464C4⋊C4—1221no—
1465C4⋊C4—1221no—
1466C4⋊C4—1221no—
1467C4⋊C4—1221no—
1468C4⋊C4—1221no—
1469C4⋊C4—1221no—
1470C4⋊C4—1221no—
1471C4⋊C4D4×D6111yescharacteristic
1472C4⋊C4C23×D6111yescharacteristic
1473C4⋊C4C23×D6111yescharacteristic
1474C4⋊C4C23×D6111yescharacteristic
1475C4⋊C4C23×D6111yescharacteristic
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—611no—
1487C22⋊C4—611no—
1488C22⋊C4—611no—
1489C22⋊C4—611no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C22⋊C4—1221no—
1499C22⋊C4—1221no—
1500C22⋊C4—1221no—
1501C22⋊C4—1221no—
1502C22⋊C4—1221no—
1503C22⋊C4—1221no—
1504C22⋊C4—1221no—
1505C22⋊C4—1221no—
1506C22⋊C4—1221no—
1507C22⋊C4—1221no—
1508C22⋊C4—1221no—
1509C22⋊C4—1221no—
1510C22⋊C4—1221no—
1511C22⋊C4—1221no—
1512C22⋊C4—1221no—
1513C22⋊C4—1221no—
1514C22⋊C4—1221no—
1515C22⋊C4D4×D6111yescharacteristic
1516C22⋊C4D4×D6111yescharacteristic
1517C42—21no—
1518C42—21no—
1519C42—611no—
1520C42—611no—
1521C42—611no—
1522C42—611no—
1523C42—611no—
1524C42—611no—
1525C42—611no—
1526C42—611no—
1527C42—611no—
1528C42—1221no—
1529C42—1221no—
1530C42—1221no—
1531C42—1221no—
1532C42—1221no—
1533C42C23×D6111yescharacteristic
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—42no—
1538C23—42no—
1539C23—81no—
1540C23—611no—
1541C23—1221no—
1542C23—1221no—
1543C23—4881no—
1544C23—2442no—
1545C23—2442no—
1546C23C2×D4×D6111yescharacteristic
1547C23C2×D4×D6111yescharacteristic
1548Q8—21no—
1549Q8—21no—
1550Q8—81no—
1551Q8—4881no—
1552Q8—4881no—
1553Q8—2441no—
1554Q8—2442no—
1555Q8—2442no—
1556Q8—2442no—
1557D4—21no—
1558D4—21no—
1559D4—21no—
1560D4—21no—
1561D4—21no—
1562D4—41no—
1563D4—42no—
1564D4—42no—
1565D4—81no—
1566D4—81no—
1567D4—81no—
1568D4—1222no—
1569D4—1222no—
1570D4—1221no—
1571D4—1221no—
1572D4—1221no—
1573D4—1221no—
1574D4—4881no—
1575D4—4881no—
1576D4—4881no—
1577D4—4881no—
1578D4—2442no—
1579D4—2442no—
1580D4—2442no—
1581D4—2442no—
1582D4—2442no—
1583D4—2442no—
1584D4—2442no—
1585D4—2442no—
1586D4#1451982412yes—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—42no—
1597C2×C4—42no—
1598C2×C4—81no—
1599C2×C4—611no—
1600C2×C4—611no—
1601C2×C4—611no—
1602C2×C4—611no—
1603C2×C4—611no—
1604C2×C4—611no—
1605C2×C4—611no—
1606C2×C4—1222no—
1607C2×C4—1222no—
1608C2×C4—1222no—
1609C2×C4—1222no—
1610C2×C4—1221no—
1611C2×C4—1221no—
1612C2×C4—1221no—
1613C2×C4—1221no—
1614C2×C4—1221no—
1615C2×C4—1221no—
1616C2×C4—1221no—
1617C2×C4—1221no—
1618C2×C4—4881no—
1619C2×C4—4881no—
1620C2×C4—4881no—
1621C2×C4—4881no—
1622C2×C4—4881no—
1623C2×C4—4881no—
1624C2×C4—4881no—
1625C2×C4—4881no—
1626C2×C4—4881no—
1627C2×C4—4881no—
1628C2×C4—4881no—
1629C2×C4—2442no—
1630C2×C4—2442no—
1631C2×C4—2442no—
1632C2×C4—2442no—
1633C2×C4—2441no—
1634C2×C4—2441no—
1635C2×C4—2442no—
1636C2×C4C2×D4×D6111yescharacteristic
1637C2×C4C2×D4×D6111yescharacteristic
1638C2×C4C2×D4×D6111yescharacteristic
1639C2×C4C2×D4×D6111yescharacteristic
1640C2×C4C24×D6111yescharacteristic
1641C8—21no—
1642C8—21no—
1643C8—21no—
1644C8—21no—
1645C8—1221no—
1646C8—1221no—
1647C8—1221no—
1648C8—1221no—
1649C22—21no—
1650C22—21no—
1651C22—22no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—84no—
1665C22—612no—
1666C22—1221no—
1667C22—1221no—
1668C22—4884no—
1669C22—2441no—
1670C22—2441no—
1671C22—2441no—
1672C22—2441no—
1673C22—2441no—
1674C22—2441no—
1675C22C22×D4×D6111yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—612no—
1686C4—1221no—
1687C4—1221no—
1688C4—1221no—
1689C4—1221no—
1690C4—1221no—
1691C4—1221no—
1692C4—2441no—
1693C4—2441no—
1694C4—2441no—
1695C4—2441no—
1696C4—2441no—
1697C4—2441no—
1698C4C2×#1451982411yescharacteristic
1699C4#1684059711yescharacteristic
1700C2—41no—
1701C2—41no—
1702C2—42no—
1703C2—81no—
1704C2—81no—
1705C2—1222no—
1706C2—4881no—
1707C2—4881no—
1708C2#2145949011yescharacteristic
1709C2#575×D6111yescharacteristic
1710C2#576×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3319C2
socleC22×C61C23×D4
hypercenter#3319D61
hypocenterC61#62125
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3319

Complements

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

NH ≅ G/Ntype
1. #21459719C2semidirect
2. #21459424C2semidirect
3. #21458778C2semidirect
4. #21458772C2semidirect
5. #21458571C2semidirect
6. #21458569C2semidirect
7. #21458321C2semidirect
8. #21458319C2semidirect
9. #21458299C2semidirect
10. #21458297C2semidirect
11. #21458216C2semidirect
12. #21458214C2semidirect
13. #21457975C2semidirect
14. #21457961C2semidirect
15. #21457953C2semidirect
16. #21457670C2semidirect
17. #21457662C2semidirect
18. #21457176C2semidirect
19. #21457142C2semidirect
20. #21457125C2semidirect
21. #21457045C2semidirect
22. #21457014C2semidirect
23. #21457001C2semidirect
24. #21455963C2semidirect
25. #21455908C2semidirect
26. #21455814C2semidirect
27. #21455613C2semidirect
28. #21455603C2semidirect
29. #474×D61C2semidirect
30. #21454939C2semidirect
31. C61×#3319C2semidirect
34. #16840477C22semidirect
35. #16840473C22semidirect
38. #16840469C22semidirect
41. #16840459C22semidirect
44. #16840456C22semidirect
57. #16840315C22semidirect
58. #16840315C22semidirect
59. #16840309C22semidirect
61. #16840307C22semidirect
62. #16840307C22semidirect
63. C4⋊Q8×D61C22semidirect
75. #16840171C22semidirect
76. #16840170C22semidirect
77. #16840169C22semidirect
78. #16840168C22semidirect
79. #16840163C22semidirect
80. #16840162C22semidirect
83. #16840121C22semidirect
84. #16840118C22semidirect
85. #16840118C22semidirect
86. #16840100C22semidirect
87. #16840096C22semidirect
88. #16840096C22semidirect
90. #16840087C22semidirect
91. #16840087C22semidirect
93. #16840086C22semidirect
94. #16840083C22semidirect
95. #16840083C22semidirect
96. #16840082C22semidirect
99. #16840079C22semidirect
100. #16840076C22semidirect
101. #16840073C22semidirect
102. #16840071C22semidirect
103. #16840067C22semidirect
104. #16840065C22semidirect
107. #16840064C22semidirect
108. #16840064C22semidirect
109. #16840063C22semidirect
110. #16840062C22semidirect
113. #16840060C22semidirect
114. #16840055C22semidirect
115. #16840051C22semidirect
117. #16840050C22semidirect
118. #16840045C22semidirect
119. #16840045C22semidirect
120. #16840043C22semidirect
122. #16840041C22semidirect
123. #16840041C22semidirect
124. #16840041C22semidirect
127. #16840040C22semidirect
128. #16840040C22semidirect
129. #16840040C22semidirect
130. #16840039C22semidirect
133. #16840010C22semidirect
134. #16839998C22semidirect
136. #16839996C22semidirect
137. #16839996C22semidirect
139. #16839994C22semidirect
140. #16839988C22semidirect
141. #16839980C22semidirect
142. #16839979C22semidirect
143. #16839974C22semidirect
144. #16839960C22semidirect
146. #16839956C22semidirect
149. #16839955C22semidirect
154. #16839891C22semidirect
155. #16839890C22semidirect
156. #16839875C22semidirect
159. #16839872C22semidirect
161. #16839865C22semidirect
162. #16839863C22semidirect
164. D8×Dic61C22semidirect
166. #16839842C22semidirect
168. #16839834C22semidirect
170. C8×C22⋊D61C22semidirect
171. #16839825C22semidirect
172. #16839817C22semidirect
173. #16839816C22semidirect
174. #16839812C22semidirect
175. #16839805C22semidirect
176. #16839804C22semidirect
177. #16839800C22semidirect
178. #16839798C22semidirect
179. #107×D61C22semidirect
180. #107×D61C22semidirect
181. #16839785C22semidirect
182. C2×#14519706C22semidirect
183. C4⋊C8×D61C22semidirect
188. C61×#555C22semidirect
190. C61×#489C22semidirect
191. C61×#485C22semidirect
192. C61×#482C22semidirect
194. C61×#468C22semidirect
195. C61×#466C22semidirect
196. C61×#463C22semidirect
200. C61×#435C22semidirect
858. #3319D61semidirect
890. #555C2×D61semidirect
941. #489C2×D61semidirect
945. #485C2×D61semidirect
955. #482C2×D61semidirect
995. #468C2×D61semidirect
1001. #466C2×D61semidirect
1007. #463C2×D61semidirect
1037. #435C2×D61semidirect
1058. C61#62125semidirect

Maximal subgroups

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

subgroupindex
#214597192
#214594242
#214587782
#214587722
#214585712
#214585692
#214583212
#214583192
#214582992
#214582972
#214582162
#214582142
#214579752
#214579612
#214579532
#214576702
#214576622
#214571762
#214571422
#214571252
#214570452
#214570142
#214570012
#214559632
#214559082
#214558142
#214556132
#214556032
#474×D612
#214549392
C61×#33192
#6212561