Finite Group Databasebeta

← #30576127

Subgroups — #30576127

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#21459721C211yesmaximal, characteristic, complemented
2#21459424C211yesmaximal, characteristic, complemented
3#21458777C211yesmaximal, characteristic, complemented
4#21458775C211yesmaximal, characteristic, complemented
5#21458578C211yesmaximal, characteristic, complemented
6#21458576C211yesmaximal, characteristic, complemented
7#21458325C211yesmaximal, characteristic, complemented
8#21458323C211yesmaximal, characteristic, complemented
9#21458310C211yesmaximal, characteristic, complemented
10#21458308C211yesmaximal, characteristic, complemented
11#21458222C211yesmaximal, characteristic, complemented
12#21458215C211yesmaximal, characteristic, complemented
13#21457979C211yesmaximal, characteristic, complemented
14#21457971C211yesmaximal, characteristic, complemented
15#21457964C211yesmaximal, characteristic, complemented
16#21457956C211yesmaximal, characteristic, complemented
17#21457669C211yesmaximal, characteristic, complemented
18#21457178C211yesmaximal, characteristic, complemented
19#21457140C211yesmaximal, characteristic, complemented
20#21457125C211yesmaximal, characteristic, complemented
21#21457052C211yesmaximal, characteristic, complemented
22#21457014C211yesmaximal, characteristic, complemented
23#21456993C211yesmaximal, characteristic, complemented
24#21455963C211yesmaximal, characteristic, complemented
25#21455905C211yesmaximal, characteristic, complemented
26#21455817C211yesmaximal, characteristic, complemented
27#21455614C211yesmaximal, characteristic, complemented
28#21455603C211yesmaximal, characteristic, complemented
29C2×#16840040C211yesmaximal, characteristic, complemented
30#21454942C211yesmaximal, characteristic, complemented
31C61×#3297C211yesmaximal, characteristic, complemented
32#16840494C2211yescharacteristic
33#16840479—21no—
34#16840476C2211yescharacteristic, complemented
35#16840475C2211yescharacteristic, complemented
36#16840471C2211yescharacteristic
37#16840471C2211yescharacteristic, complemented
38#16840470C2211yescharacteristic
39#16840468C2211yescharacteristic, complemented
40#16840464C2211yescharacteristic
41#16840460C2211yescharacteristic
42#16840459C2211yescharacteristic
43#16840458C2211yescharacteristic
44#16840458C2211yescharacteristic, complemented
45#16840455—21no—
46#16840438—21no—
47#16840435—21no—
48#16840421—21no—
49#16840418—21no—
50#16840410—21no—
51#16840400C2211yescharacteristic
52#16840399—21no—
53D4×C22⋊D61C2211yescharacteristic
54#16840380—21no—
55#16840378—21no—
56#16840339—21no—
57#16840318C2211yescharacteristic, complemented
58#16840315C2211yescharacteristic, complemented
59#16840309C2211yescharacteristic, complemented
60#16840307C2211yescharacteristic
61#16840307C2211yescharacteristic, complemented
62#16840307C2211yescharacteristic, complemented
63C2×#14519776C2211yescharacteristic, complemented
64#16840298C2211yescharacteristic
65#16840291C2211yescharacteristic
66#16840289—21no—
67#16840272—21no—
68#16840268—21no—
69#16840241—21no—
70#41×Dic61C2211yescharacteristic
71C4×#11758224C2211yescharacteristic
72C2×D4×Dic61C2211yescharacteristic
73C2×#14519737—21no—
74C4×D4×D61C2211yescharacteristic
75#16840170C2211yescharacteristic, complemented
76#16840170C2211yescharacteristic, complemented
77#16840170C2211yescharacteristic, complemented
78#16840169C2211yescharacteristic, complemented
79#16840164C2211yescharacteristic, complemented
80#16840161C2211yescharacteristic, complemented
81#16840125C2211yescharacteristic
82#16840125C2211yescharacteristic
83#16840123C2211yescharacteristic, complemented
84#16840123C2211yescharacteristic, complemented
85#16840116C2211yescharacteristic, complemented
86#16840102C2211yescharacteristic, complemented
87#16840101C2211yescharacteristic, complemented
88#16840095C2211yescharacteristic, complemented
89#16840087C2211yescharacteristic, complemented
90#16840087C2211yescharacteristic, complemented
91#16840086C2211yescharacteristic, complemented
92#16840085C2211yescharacteristic
93#16840084C2211yescharacteristic
94#16840083C2211yescharacteristic, complemented
95#16840083C2211yescharacteristic, complemented
96#16840081C2211yescharacteristic
97#16840081C2211yescharacteristic, complemented
98#16840080C2211yescharacteristic
99#16840078C2211yescharacteristic, complemented
100#16840077C2211yescharacteristic, complemented
101#16840074C2211yescharacteristic, complemented
102#16840071C2211yescharacteristic, complemented
103#16840067C2211yescharacteristic, complemented
104#16840064C2211yescharacteristic
105#16840063C2211yescharacteristic, complemented
106#16840063C2211yescharacteristic, complemented
107#16840062C2211yescharacteristic
108#16840062C2211yescharacteristic, complemented
109#16840061C2211yescharacteristic, complemented
110#16840060C2211yescharacteristic
111#16840060C2211yescharacteristic, complemented
112#16840059C2211yescharacteristic, complemented
113#16840055C2211yescharacteristic, complemented
114#16840051C2211yescharacteristic, complemented
115#16840050C2211yescharacteristic
116#16840050C2211yescharacteristic, complemented
117#16840045C2211yescharacteristic, complemented
118#16840045C2211yescharacteristic, complemented
119#16840041C2211yescharacteristic, complemented
120#16840041C2211yescharacteristic, complemented
121#16840041C2211yescharacteristic, complemented
122#16840040C2211yescharacteristic
123#16840040C2211yescharacteristic
124#16840040C2211yescharacteristic
125#16840040C2211yescharacteristic
126#16840040C2211yescharacteristic, complemented
127#16840040C2211yescharacteristic, complemented
128#16840040C2211yescharacteristic, complemented
129#16840040C2211yescharacteristic, complemented
130#16840040C2211yescharacteristic, complemented
131#16840014C2211yescharacteristic
132#16840012C2211yescharacteristic
133#16840011C2211yescharacteristic, complemented
134#16840005C2211yescharacteristic, complemented
135#16839998C2211yescharacteristic
136#16839998C2211yescharacteristic, complemented
137#16839996C2211yescharacteristic
138#16839996C2211yescharacteristic, complemented
139#16839996C2211yescharacteristic, complemented
140#16839993C2211yescharacteristic, 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#16839892C2211yescharacteristic, complemented
155#16839889C2211yescharacteristic, complemented
156#16839874C2211yescharacteristic
157#16839874C2211yescharacteristic
158#16839874C2211yescharacteristic, complemented
159#16839871C2211yescharacteristic
160#16839871C2211yescharacteristic
161#16839871C2211yescharacteristic, complemented
162#16839865C2211yescharacteristic, complemented
163#16839863C2211yescharacteristic, complemented
164C4×D488C2211yescharacteristic, complemented
165C4×#11758199C2211yescharacteristic
166C4×#11758199C2211yescharacteristic, complemented
167#16839833C2211yescharacteristic
168#16839833C2211yescharacteristic, complemented
169#16839830C2211yescharacteristic
170#16839830C2211yescharacteristic, complemented
171D4×#92418C2211yescharacteristic, complemented
172#16839816C2211yescharacteristic, complemented
173#16839816C2211yescharacteristic, complemented
174#16839813C2211yescharacteristic, complemented
175#16839803C2211yescharacteristic, complemented
176#16839801C2211yescharacteristic, complemented
177#16839800C2211yescharacteristic, complemented
178#16839798C2211yescharacteristic, complemented
179C2×#14519711C2211yescharacteristic, complemented
180C2×#14519710C2211yescharacteristic, complemented
181#16839784C2211yescharacteristic, complemented
182C2×#14519706C2211yescharacteristic, complemented
183C2×#14519706C2211yescharacteristic, complemented
184#16839765C2211yescharacteristic
185#16839765C2211yescharacteristic
186#16839758C2211yescharacteristic
187C2×#14519698C2211yescharacteristic
188C61×#553C2211yescharacteristic, complemented
189C61×#546C2211yescharacteristic
190C61×#488C2211yescharacteristic, complemented
191C61×#484C2211yescharacteristic, complemented
192C61×#482C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic
194C61×#466C2211yescharacteristic, complemented
195C61×#465C2211yescharacteristic, complemented
196C61×#463C2211yescharacteristic, complemented
197C61×#449C2211yescharacteristic
198C61×#447C2211yescharacteristic
199C4×D8×C61C2211yescharacteristic
200C8×D4×C61C2211yescharacteristic, complemented
201C61×#416C2211yescharacteristic
202C2×#102×C61C2211yescharacteristic
203C2×#11758222—21no—
204C2×#11758224—21no—
205C2×#11758224—21no—
206C2×#11758224—21no—
207C2×#11758224D411yescharacteristic
208C22×Dic122—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×#11758189C2311yescharacteristic
219C2×#11758189C2311yescharacteristic
220C22×#92418C2311yescharacteristic
221C22×#92418C2311yescharacteristic
222#14519776—21no—
223#14519776—21no—
224#14519776C2311yescharacteristic
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519776C2311yescharacteristic
230#14519773C2311yescharacteristic
231#14519773C2311yescharacteristic
232#14519772—21no—
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519770—21no—
237#14519770—21no—
238#14519770—21no—
239#14519769C2311yescharacteristic
240#14519769C2311yescharacteristic
241#14519768C2311yescharacteristic
242#14519768C2311yescharacteristic
243#14519768C2311yescharacteristic
244#14519767—21no—
245#14519766C2311yescharacteristic
246#14519765—21no—
247#14519764—21no—
248#14519763—21no—
249#14519763—21no—
250#14519763—21no—
251#14519763—21no—
252#14519763—21no—
253#14519763—21no—
254#14519763—21no—
255#14519762—21no—
256#14519761—21no—
257#14519761—21no—
258#14519761—21no—
259#14519760—21no—
260#14519759—21no—
261#14519759—21no—
262#14519759—21no—
263#14519759—21no—
264#14519758—21no—
265#14519757—21no—
266#14519757—21no—
267#14519756—21no—
268#14519756—21no—
269#14519755—21no—
270#14519755—21no—
271#14519755—21no—
272#14519755—21no—
273#14519754—21no—
274#14519754—21no—
275#14519754—21no—
276#14519754—21no—
277#14519754—21no—
278#14519754—21no—
279#14519754—21no—
280#14519753C2311yescharacteristic
281#14519752C2311yescharacteristic
282#14519751—21no—
283#14519751C2311yescharacteristic
284#14519751C2311yescharacteristic
285#14519751C2311yescharacteristic
286#14519751C2311yescharacteristic
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#14519749—21no—
296#14519749—21no—
297#14519749—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×Dic122C2311yescharacteristic
309#14519742—21no—
310#14519742—21no—
311#14519742D411yescharacteristic
312C4×D244C2311yescharacteristic
313C4×D244C2311yescharacteristic
314D4×Dic61—21no—
315D4×Dic61—21no—
316D4×Dic61—21no—
317D4×Dic61—21no—
318D4×Dic61—21no—
319D4×Dic61D411yescharacteristic
320D4×Dic61C2311yescharacteristic
321D4×Dic61C2311yescharacteristic
322D4×Dic61C2311yescharacteristic
323D4×Dic61C2311yescharacteristic
324D4×Dic61C2311yescharacteristic
325D4×Dic61C2311yescharacteristic
326D4×Dic61C2311yescharacteristic
327#14519739C2311yescharacteristic
328#14519739C2311yescharacteristic
329#14519739C2311yescharacteristic
330C4×C22⋊D61—21no—
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#14519737D411yescharacteristic
347#14519737D411yescharacteristic
348#14519736—21no—
349#14519736C2311yescharacteristic
350#14519736C2311yescharacteristic
351#14519735—21no—
352#14519735D411yescharacteristic
353#14519735C2311yescharacteristic
354#14519735C2311yescharacteristic
355#14519734—21no—
356#14519733—21no—
357#14519733—21no—
358#14519733D411yescharacteristic
359#14519733D411yescharacteristic
360C2×C4⋊Dic61C2311yescharacteristic
361C2×C4⋊Dic61C2311yescharacteristic
362C2×#11758196—21no—
363C2×#11758196—21no—
364C2×#11758196—21no—
365C4⋊C4×D61—21no—
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#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433#14519687C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C2×#41×C61C2311yescharacteristic
436C22×D4×C61C2311yescharacteristic
437C2×SD16×C61C2311yescharacteristic
438C2×D8×C61C2311yescharacteristic
439C2×D8×C61C2311yescharacteristic
440C22×C8×C61C2311yescharacteristic
441C22×C8×C61C2311yescharacteristic
442#126×C61—21no—
443#125×C61C2311yescharacteristic
444#124×C61C2311yescharacteristic
445#123×C61—21no—
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×C61—21no—
455C4×D4×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458#117×C61C2311yescharacteristic
459C2×C4⋊C4×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
477C4×C8×C61C2311yescharacteristic
478C24×C61—21no—
479C23×D61—21no—
480#41×C61—22no—
481#41×C61—41no—
482C2×Q8×C61C2411yescharacteristic
483C2×D4×C61—22no—
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61—21no—
489C2×D4×C61—41no—
490C2×D4×C61C2×D411yescharacteristic
491C2×D4×C61C2411yescharacteristic
492C2×D4×C61C2411yescharacteristic
493C2×D4×C61C2411yescharacteristic
494C22×C4×C61—21no—
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—21no—
523C22×Dic61—82no—
524C22×Dic61C2×D411yescharacteristic
525C22×Dic61C2×D411yescharacteristic
526C22×Dic61C2×D411yescharacteristic
527C22×Dic61C2×D411yescharacteristic
528#11758224—42no—
529#11758224—44no—
530#11758224—82no—
531#11758224—82no—
532D4×D61—22no—
533D4×D61—41no—
534#11758222—82no—
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—82no—
545C2×C4×D61C2×D411yescharacteristic
546C2×C4×D61C2×D411yescharacteristic
547C2×C4×D61C2411yescharacteristic
548C2×Dic122—21no—
549C2×Dic122—21no—
550C2×Dic122—21no—
551C2×Dic122—21no—
552C2×Dic122—21no—
553C2×Dic122—21no—
554C2×Dic122—82no—
555C2×Dic122C2×D411yescharacteristic
556SD16×C61—41no—
557D8×C61—22no—
558D8×C61—41no—
559C2×C8×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×C61—21no—
568C4⋊C4×C61—21no—
569C4⋊C4×C61C2×D411yescharacteristic
570C4⋊C4×C61C2411yescharacteristic
571C4⋊C4×C61C2411yescharacteristic
572C4⋊C4×C61C2411yescharacteristic
573C4⋊C4×C61C2411yescharacteristic
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×C61—21no—
583C22⋊C4×C61C2×D411yescharacteristic
584C22⋊C4×C61C2×D411yescharacteristic
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⋊Dic61C2×D411yescharacteristic
599C22⋊Dic61C2×D411yescharacteristic
600#11758201—41no—
601#11758199—22no—
602#11758199—41no—
603#11758199—41no—
604#11758198—21no—
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#11758198—21no—
619#11758198C2×D411yescharacteristic
620#11758198C2×D411yescharacteristic
621C4⋊Dic61—21no—
622C4⋊Dic61—21no—
623C4⋊Dic61—21no—
624C4⋊Dic61—21no—
625C4⋊Dic61—21no—
626C4⋊Dic61—21no—
627C4⋊Dic61—21no—
628C4⋊Dic61C2×D411yescharacteristic
629C4⋊Dic61C2411yescharacteristic
630C4⋊Dic61C2411yescharacteristic
631C4⋊Dic61C2411yescharacteristic
632C4⋊Dic61C2411yescharacteristic
633C4⋊Dic61C2411yescharacteristic
634C4⋊Dic61C2411yescharacteristic
635#11758196—21no—
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#11758196C2×D411yescharacteristic
651#11758196C2×D411yescharacteristic
652#11758196C2×D411yescharacteristic
653#11758196C2×D411yescharacteristic
654C4×Dic61—21no—
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
669C2×#92418—41no—
670C2×#92418—41no—
671C2×#92418C2411yescharacteristic
672C2×#92418C2411yescharacteristic
673C2×#92418C2411yescharacteristic
674C2×#92418C2411yescharacteristic
675D488—41no—
676#11758189—41no—
677#11758189—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—
694D4×C61—22no—
695D4×C61—21no—
696D4×C61—21no—
697D4×C61—21no—
698D4×C61—21no—
699D4×C61—21no—
700D4×C61—42no—
701D4×C61—42no—
702D4×C61—42no—
703D4×C61—81no—
704D4×C61—81no—
705D4×C612−1+412yes—
706C2×C4×C61—21no—
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—42no—
716C2×C4×C61—81no—
717C2×C4×C61—81no—
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—41no—
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—22no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742C2×Dic61—21no—
743C2×Dic61—21no—
744C2×Dic61—21no—
745C2×Dic61—21no—
746C2×Dic61—41no—
747C2×Dic61—42no—
748C2×Dic61—42no—
749C2×Dic61—42no—
750C2×Dic61—42no—
751C2×Dic61—81no—
752C2×Dic61—81no—
753C2×Dic61—81no—
754C2×Dic61—81no—
755C2×Dic61—81no—
756C2×Dic61C22×D411yescharacteristic
757C2×Dic61C22×D411yescharacteristic
758C2×Dic61C22×D411yescharacteristic
759C2×Dic61C22×D411yescharacteristic
760C2×Dic61C22×D411yescharacteristic
761C2×Dic61C22×D411yescharacteristic
762C2×Dic61C22×D411yescharacteristic
763D244—21no—
764D244—21no—
765D244—21no—
766D244—21no—
767D244—81no—
768C4×D61—21no—
769C4×D61—21no—
770C4×D61—22no—
771C4×D61—41no—
772C4×D61—42no—
773C4×D61—42no—
774C4×D61—81no—
775C4×D61—81no—
776C4×D61—81no—
777C4×D61—81no—
778Dic122—41no—
779Dic122—42no—
780Dic122—42no—
781Dic122—42no—
782Dic122—81no—
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—21no—
795C22×C61—21no—
796C22×C61—22no—
797C22×C61—21no—
798C22×C61—21no—
799C22×C61—21no—
800C22×C61—41no—
801C22×C61—41no—
802C22×C61—41no—
803C22×C61—41no—
804C22×C61—41no—
805C22×C61—41no—
806C22×C61—41no—
807C22×C61—41no—
808C22×C61—84no—
809C22×C61#57512yes—
810C22×C61C23×D411yescharacteristic
811C2×D61—21no—
812C2×D61—21no—
813C2×D61—21no—
814C2×D61—41no—
815C2×D61—41no—
816C2×D61—41no—
817C2×D61—41no—
818C2×D61—41no—
819C2×D61—41no—
820C2×D61—84no—
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#3319—611no—
859#3318—611no—
860#3318—611no—
861#3297—611no—
862#3297D6111yescharacteristic, complemented
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—22no—
877C2×C61—42no—
878C2×C61—41no—
879C2×C61—81no—
880C2×C61—81no—
881C2×C61#348911yescharacteristic
882C2×C61C2×#57511yescharacteristic
883C2×C61C2×#57611yescharacteristic
884D61—41no—
885D61—81no—
886D61—81no—
887#559—611no—
888#556—1221no—
889#555—611no—
890#555—611no—
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—1221no—
901#553C2×D6111yescharacteristic, complemented
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#489—611no—
942#488—611no—
943#488C2×D6111yescharacteristic, complemented
944#485—611no—
945#485—611no—
946#484—611no—
947#484C2×D6111yescharacteristic, complemented
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#478C2×D6111yescharacteristic
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#474—611no—
992#469—611no—
993#469—611no—
994#468—611no—
995#468—611no—
996#466—611no—
997#466—611no—
998#466—611no—
999#466—611no—
1000#466—611no—
1001#466C2×D6111yescharacteristic, complemented
1002#465—611no—
1003#465C2×D6111yescharacteristic, complemented
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#442—611no—
1028#440—611no—
1029#440—611no—
1030C4×D8—611no—
1031C4×D8—611no—
1032C4×D8—611no—
1033C4×D8C2×D6111yescharacteristic
1034#435—611no—
1035#435—611no—
1036#435—611no—
1037#435—611no—
1038C8×D4—611no—
1039C8×D4C2×D6111yescharacteristic, complemented
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#418—611no—
1054#416—611no—
1055#416C2×D6111yescharacteristic
1056C2×#102—611no—
1057C2×#102C2×D6111yescharacteristic
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×M16—611no—
1081C22×C8—611no—
1082C22×C8—611no—
1083C22×C8C22×D6111yescharacteristic
1084C22×C8C22×D6111yescharacteristic
1085C4⋊Q8—611no—
1086C4⋊Q8—611no—
1087C4⋊Q8—611no—
1088C4⋊Q8—611no—
1089C4⋊Q8—611no—
1090C4⋊Q8—611no—
1091C4⋊Q8—1221no—
1092C4⋊Q8—1221no—
1093#127—611no—
1094#127—611no—
1095#126—21no—
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—1221no—
1109#125C22×D6111yescharacteristic
1110#124—611no—
1111#124—1221no—
1112#124—1221no—
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—21no—
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—21no—
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—611no—
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—611no—
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#117—1221no—
1239#117C22×D6111yescharacteristic
1240C2×C4⋊C4—611no—
1241C2×C4⋊C4—611no—
1242C2×C4⋊C4—611no—
1243C2×C4⋊C4—1221no—
1244C2×C4⋊C4—1221no—
1245C2×C4⋊C4—1221no—
1246C2×C4⋊C4—1221no—
1247C2×C4⋊C4C22×D6111yescharacteristic
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#97—611no—
1332C4×C8—611no—
1333C4×C8C22×D6111yescharacteristic
1334C24—21no—
1335C24—1221no—
1336#41—22no—
1337#41—41no—
1338#41—4882no—
1339#41—4882no—
1340#41—4882no—
1341#41—2442no—
1342#41—2444no—
1343C2×Q8—611no—
1344C2×Q8—1221no—
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—21no—
1386C22×C4—611no—
1387C22×C4—611no—
1388C22×C4—611no—
1389C22×C4—611no—
1390C22×C4—611no—
1391C22×C4—611no—
1392C22×C4—611no—
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—2441no—
1421M16—2441no—
1422C2×C8—41no—
1423C2×C8—41no—
1424C2×C8—611no—
1425C2×C8—611no—
1426C2×C8—611no—
1427C2×C8—611no—
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—21no—
1437C4⋊C4—21no—
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—611no—
1448C4⋊C4—611no—
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—611no—
1486C22⋊C4—611no—
1487C22⋊C4—611no—
1488C22⋊C4—611no—
1489C22⋊C4—1221no—
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—611no—
1519C42—611no—
1520C42—611no—
1521C42—611no—
1522C42—611no—
1523C42—611no—
1524C42—611no—
1525C42—611no—
1526C42—611no—
1527C42—1221no—
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—4881no—
1551Q8—4881no—
1552Q8—4881no—
1553Q8—2441no—
1554Q8—2442no—
1555Q8—2442no—
1556Q8—2442no—
1557D4—22no—
1558D4—21no—
1559D4—21no—
1560D4—21no—
1561D4—21no—
1562D4—21no—
1563D4—42no—
1564D4—42no—
1565D4—42no—
1566D4—81no—
1567D4—81no—
1568D4—1222no—
1569D4—1221no—
1570D4—1221no—
1571D4—1221no—
1572D4—1221no—
1573D4—4881no—
1574D4—4881no—
1575D4—4881no—
1576D4—4881no—
1577D4—4881no—
1578D4—2442no—
1579D4—2441no—
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—81no—
1598C2×C4—81no—
1599C2×C4—81no—
1600C2×C4—611no—
1601C2×C4—611no—
1602C2×C4—611no—
1603C2×C4—611no—
1604C2×C4—611no—
1605C2×C4—611no—
1606C2×C4—611no—
1607C2×C4—1222no—
1608C2×C4—1222no—
1609C2×C4—1222no—
1610C2×C4—1222no—
1611C2×C4—1221no—
1612C2×C4—1221no—
1613C2×C4—1221no—
1614C2×C4—1221no—
1615C2×C4—1221no—
1616C2×C4—1221no—
1617C2×C4—1221no—
1618C2×C4—1221no—
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—2441no—
1629C2×C4—2442no—
1630C2×C4—2442no—
1631C2×C4—2442no—
1632C2×C4—2442no—
1633C2×C4—2441no—
1634C2×C4—2442no—
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—21no—
1652C22—22no—
1653C22—21no—
1654C22—21no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—84no—
1664C22—1221no—
1665C22—1221no—
1666C22—1221no—
1667C22—4884no—
1668C22—2441no—
1669C22—2441no—
1670C22—2441no—
1671C22—2441no—
1672C22—2441no—
1673C22—2441no—
1674C22#1684055912yes—
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—22no—
1701C2—41no—
1702C2—42no—
1703C2—81no—
1704C2—81no—
1705C2—4881no—
1706C2—4881no—
1707C2—2441no—
1708C2#2145949011yescharacteristic
1709C2C2×#1684055911yescharacteristic
1710C2#576×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3297C2
socleC22×C61C23×D4
hypercenter#3297D61
hypocenterC61#62125
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3297

Complements

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

NH ≅ G/Ntype
1. #21459721C2semidirect
2. #21459424C2semidirect
3. #21458777C2semidirect
4. #21458775C2semidirect
5. #21458578C2semidirect
6. #21458576C2semidirect
7. #21458325C2semidirect
8. #21458323C2semidirect
9. #21458310C2semidirect
10. #21458308C2semidirect
11. #21458222C2semidirect
12. #21458215C2semidirect
13. #21457979C2semidirect
14. #21457971C2semidirect
15. #21457964C2semidirect
16. #21457956C2semidirect
17. #21457669C2semidirect
18. #21457178C2semidirect
19. #21457140C2semidirect
20. #21457125C2semidirect
21. #21457052C2semidirect
22. #21457014C2semidirect
23. #21456993C2semidirect
24. #21455963C2semidirect
25. #21455905C2semidirect
26. #21455817C2semidirect
27. #21455614C2semidirect
28. #21455603C2semidirect
29. C2×#16840040C2semidirect
30. #21454942C2semidirect
31. C61×#3297C2semidirect
34. #16840476C22semidirect
35. #16840475C22semidirect
37. #16840471C22semidirect
39. #16840468C22semidirect
44. #16840458C22semidirect
57. #16840318C22semidirect
58. #16840315C22semidirect
59. #16840309C22semidirect
61. #16840307C22semidirect
62. #16840307C22semidirect
63. C2×#14519776C22semidirect
75. #16840170C22semidirect
76. #16840170C22semidirect
77. #16840170C22semidirect
78. #16840169C22semidirect
79. #16840164C22semidirect
80. #16840161C22semidirect
83. #16840123C22semidirect
84. #16840123C22semidirect
85. #16840116C22semidirect
86. #16840102C22semidirect
87. #16840101C22semidirect
88. #16840095C22semidirect
89. #16840087C22semidirect
90. #16840087C22semidirect
91. #16840086C22semidirect
94. #16840083C22semidirect
95. #16840083C22semidirect
97. #16840081C22semidirect
99. #16840078C22semidirect
100. #16840077C22semidirect
101. #16840074C22semidirect
102. #16840071C22semidirect
103. #16840067C22semidirect
105. #16840063C22semidirect
106. #16840063C22semidirect
108. #16840062C22semidirect
109. #16840061C22semidirect
111. #16840060C22semidirect
112. #16840059C22semidirect
113. #16840055C22semidirect
114. #16840051C22semidirect
116. #16840050C22semidirect
117. #16840045C22semidirect
118. #16840045C22semidirect
119. #16840041C22semidirect
120. #16840041C22semidirect
121. #16840041C22semidirect
126. #16840040C22semidirect
127. #16840040C22semidirect
128. #16840040C22semidirect
129. #16840040C22semidirect
130. #16840040C22semidirect
133. #16840011C22semidirect
134. #16840005C22semidirect
136. #16839998C22semidirect
138. #16839996C22semidirect
139. #16839996C22semidirect
140. #16839993C22semidirect
141. #16839980C22semidirect
142. #16839979C22semidirect
143. #16839974C22semidirect
144. #16839960C22semidirect
146. #16839956C22semidirect
149. #16839955C22semidirect
154. #16839892C22semidirect
155. #16839889C22semidirect
158. #16839874C22semidirect
161. #16839871C22semidirect
162. #16839865C22semidirect
163. #16839863C22semidirect
164. C4×D488C22semidirect
166. C4×#11758199C22semidirect
168. #16839833C22semidirect
170. #16839830C22semidirect
171. D4×#92418C22semidirect
172. #16839816C22semidirect
173. #16839816C22semidirect
174. #16839813C22semidirect
175. #16839803C22semidirect
176. #16839801C22semidirect
177. #16839800C22semidirect
178. #16839798C22semidirect
179. C2×#14519711C22semidirect
180. C2×#14519710C22semidirect
181. #16839784C22semidirect
182. C2×#14519706C22semidirect
183. C2×#14519706C22semidirect
188. C61×#553C22semidirect
190. C61×#488C22semidirect
191. C61×#484C22semidirect
192. C61×#482C22semidirect
194. C61×#466C22semidirect
195. C61×#465C22semidirect
196. C61×#463C22semidirect
200. C8×D4×C61C22semidirect
862. #3297D61semidirect
901. #553C2×D61semidirect
943. #488C2×D61semidirect
947. #484C2×D61semidirect
955. #482C2×D61semidirect
1001. #466C2×D61semidirect
1003. #465C2×D61semidirect
1007. #463C2×D61semidirect
1039. C8×D4C2×D61semidirect
1058. C61#62125semidirect

Maximal subgroups

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

subgroupindex
#214597212
#214594242
#214587772
#214587752
#214585782
#214585762
#214583252
#214583232
#214583102
#214583082
#214582222
#214582152
#214579792
#214579712
#214579642
#214579562
#214576692
#214571782
#214571402
#214571252
#214570522
#214570142
#214569932
#214559632
#214559052
#214558172
#214556142
#214556032
C2×#168400402
#214549422
C61×#32972
#6212561