Finite Group Databasebeta

← #30575775

Subgroups — #30575775

Order 15616.

1974 conjugacy classes of subgroups.

The subgroup lattice has 1722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459697C211yesmaximal, characteristic, complemented
2#21459306C211yesmaximal, characteristic
3#21458743C211yesmaximal, characteristic, complemented
4#21458737C211yesmaximal, characteristic, complemented
5#21458551C211yesmaximal, characteristic, complemented
6#21458549C211yesmaximal, characteristic, complemented
7#21458399C211yesmaximal, characteristic, complemented
8#21458396C211yesmaximal, characteristic, complemented
9#21458257C211yesmaximal, characteristic, complemented
10#21458255C211yesmaximal, characteristic, complemented
11#21458253C211yesmaximal, characteristic, complemented
12#21458048C211yesmaximal, characteristic, complemented
13#21458045C211yesmaximal, characteristic, complemented
14#21457846C211yesmaximal, characteristic, complemented
15#21457842C211yesmaximal, characteristic, complemented
16#21457838C211yesmaximal, characteristic, complemented
17#21457834C211yesmaximal, characteristic, complemented
18#21457205C211yesmaximal, characteristic, complemented
19#21457201C211yesmaximal, characteristic, complemented
20#21457130C211yesmaximal, characteristic, complemented
21#21457018C211yesmaximal, characteristic, complemented
22#21457014C211yesmaximal, characteristic, complemented
23#21456938C211yesmaximal, characteristic, complemented
24#21455916C211yesmaximal, characteristic, complemented
25#21455915C211yesmaximal, characteristic, complemented
26#21455824C211yesmaximal, characteristic, complemented
27#21455615C211yesmaximal, characteristic, complemented
28#21455614C211yesmaximal, characteristic, complemented
29C2×#16840041C211yesmaximal, characteristic, complemented
30#21454931C211yesmaximal, characteristic, complemented
31C61×#3343C211yesmaximal, characteristic, complemented
32C2×#41×D61—21no—
33#16840489—21no—
34#16840489C2211yescharacteristic, complemented
35#16840488C2211yescharacteristic, complemented
36#16840483C2211yescharacteristic, complemented
37#16840480C2211yescharacteristic, complemented
38#16840479—21no—
39#16840454C2211yescharacteristic, complemented
40#16840452C2211yescharacteristic, complemented
41#16840449—21no—
42#16840447C2211yescharacteristic, complemented
43#16840445—21no—
44#16840433C2211yescharacteristic
45#16840427C2211yescharacteristic
46#16840422—21no—
47#16840413C2211yescharacteristic
48#16840413C2211yescharacteristic
49#16840404—21no—
50#16840404—21no—
51#16840400—21no—
52D4×D244C2211yescharacteristic
53#16840396C2211yescharacteristic
54#16840396C2211yescharacteristic
55#16840371—21no—
56#16840369—21no—
57#16840334—21no—
58#16840318C2211yescharacteristic, complemented
59#16840316C2211yescharacteristic, complemented
60#16840315C2211yescharacteristic, complemented
61#16840314C2211yescharacteristic, complemented
62#16840314C2211yescharacteristic, complemented
63#16840313C2211yescharacteristic
64#16840307C2211yescharacteristic
65#16840307C2211yescharacteristic
66C2×#14519776C2211yescharacteristic, complemented
67#16840275—21no—
68#16840270—21no—
69#16840270—21no—
70#16840239—21no—
71C4×#11758224C2211yescharacteristic
72C2×#14519739C2211yescharacteristic
73C2×#14519739C2211yescharacteristic
74C4×D4×D61C2211yescharacteristic
75#16840170C2211yescharacteristic, complemented
76#16840169C2211yescharacteristic, complemented
77#16840168C2211yescharacteristic, complemented
78#16840166C2211yescharacteristic, complemented
79#16840166C2211yescharacteristic, complemented
80#16840128C2211yescharacteristic, complemented
81#16840127C2211yescharacteristic, complemented
82#16840125C2211yescharacteristic, complemented
83#16840125C2211yescharacteristic, complemented
84#16840107C2211yescharacteristic, complemented
85#16840107C2211yescharacteristic, complemented
86#16840099C2211yescharacteristic, complemented
87#16840097C2211yescharacteristic, complemented
88#16840096C2211yescharacteristic, complemented
89#16840092C2211yescharacteristic, complemented
90#16840089C2211yescharacteristic, complemented
91#16840089C2211yescharacteristic, complemented
92#16840088C2211yescharacteristic, complemented
93#16840088C2211yescharacteristic, complemented
94#16840087C2211yescharacteristic, complemented
95#16840086C2211yescharacteristic, complemented
96#16840083C2211yescharacteristic, complemented
97#16840076C2211yescharacteristic, complemented
98#16840075C2211yescharacteristic, complemented
99#16840073C2211yescharacteristic, complemented
100#16840065C2211yescharacteristic
101#16840065C2211yescharacteristic, complemented
102#16840063C2211yescharacteristic
103#16840062C2211yescharacteristic, complemented
104#16840061C2211yescharacteristic
105#16840061C2211yescharacteristic, complemented
106#16840059C2211yescharacteristic
107#16840056C2211yescharacteristic, complemented
108#16840055C2211yescharacteristic, complemented
109#16840054C2211yescharacteristic, complemented
110#16840051C2211yescharacteristic
111#16840051C2211yescharacteristic, complemented
112#16840051C2211yescharacteristic, complemented
113#16840050C2211yescharacteristic, complemented
114#16840046C2211yescharacteristic, complemented
115#16840045C2211yescharacteristic, complemented
116#16840041C2211yescharacteristic
117#16840041C2211yescharacteristic
118#16840041C2211yescharacteristic
119#16840041C2211yescharacteristic
120#16840041C2211yescharacteristic, complemented
121#16840041C2211yescharacteristic, complemented
122#16840041C2211yescharacteristic, complemented
123#16840041C2211yescharacteristic, complemented
124#16840041C2211yescharacteristic, complemented
125#16840041C2211yescharacteristic, complemented
126#16840040C2211yescharacteristic, complemented
127#16840040C2211yescharacteristic, complemented
128#16840011C2211yescharacteristic, complemented
129#16840011C2211yescharacteristic, complemented
130#16840010C2211yescharacteristic, complemented
131#16840009C2211yescharacteristic, complemented
132#16840009C2211yescharacteristic, complemented
133#16840008C2211yescharacteristic, complemented
134#16840006C2211yescharacteristic, complemented
135#16839993C2211yescharacteristic, complemented
136#16839991C2211yescharacteristic, complemented
137#16839989C2211yescharacteristic, complemented
138#16839966C2211yescharacteristic
139#16839966C2211yescharacteristic, complemented
140#16839966C2211yescharacteristic, complemented
141#16839965C2211yescharacteristic, complemented
142#16839963C2211yescharacteristic, complemented
143#16839962C2211yescharacteristic, complemented
144#16839961C2211yescharacteristic, complemented
145#16839961C2211yescharacteristic, complemented
146#16839960C2211yescharacteristic, complemented
147#16839960C2211yescharacteristic, complemented
148#16839915C2211yescharacteristic
149#16839915C2211yescharacteristic
150#16839914C2211yescharacteristic
151#16839912C2211yescharacteristic
152#16839912C2211yescharacteristic
153#16839911C2211yescharacteristic
154#16839891C2211yescharacteristic, complemented
155#16839890C2211yescharacteristic, complemented
156#16839865C2211yescharacteristic
157#16839865C2211yescharacteristic, complemented
158#16839864C2211yescharacteristic
159#16839862C2211yescharacteristic, complemented
160#16839861C2211yescharacteristic
161#16839861C2211yescharacteristic, complemented
162#16839860C2211yescharacteristic
163#16839849C2211yescharacteristic
164#16839849C2211yescharacteristic, complemented
165#16839847C2211yescharacteristic
166#16839847C2211yescharacteristic, complemented
167#16839838C2211yescharacteristic, complemented
168#16839837C2211yescharacteristic, complemented
169#16839834C2211yescharacteristic, complemented
170#16839833C2211yescharacteristic, complemented
171#16839830C2211yescharacteristic, complemented
172#16839817C2211yescharacteristic, complemented
173#16839816C2211yescharacteristic, complemented
174#16839812C2211yescharacteristic, complemented
175#16839803C2211yescharacteristic, complemented
176#16839802C2211yescharacteristic, complemented
177#16839801C2211yescharacteristic, complemented
178C2×#14519710C2211yescharacteristic, complemented
179#16839785C2211yescharacteristic, complemented
180#16839784C2211yescharacteristic, complemented
181C2×#14519706C2211yescharacteristic, complemented
182#16839768C2211yescharacteristic
183#16839766C2211yescharacteristic
184#16839765C2211yescharacteristic
185#16839765C2211yescharacteristic
186C2×#14519699C2211yescharacteristic
187C2×#14519697C2211yescharacteristic
188C61×#552C2211yescharacteristic, complemented
189C61×#547C2211yescharacteristic
190C61×#501C2211yescharacteristic, complemented
191C61×#484C2211yescharacteristic, complemented
192C61×#483C2211yescharacteristic, complemented
193C61×#482C2211yescharacteristic, complemented
194C61×#480C2211yescharacteristic, complemented
195C61×#478C2211yescharacteristic, complemented
196C61×#477C2211yescharacteristic, complemented
197C61×#468C2211yescharacteristic, complemented
198C61×#465C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#428C2211yescharacteristic, complemented
202C2×#107×C61C2211yescharacteristic, complemented
203C2×#11758226—21no—
204C2×#11758222—21no—
205C2×#11758222—21no—
206C2×#11758222—21no—
207C2×#11758224—21no—
208C2×#11758224—21no—
209C2×#11758224D411yescharacteristic
210#41×D61—48no—
211C22×Dic122—21no—
212C2×Q8×D61—21no—
213C22×D244C2311yescharacteristic
214C22×D244C2311yescharacteristic
215C2×D4×D61—21no—
216C2×D4×D61—21no—
217C2×D4×D61—21no—
218C2×D4×D61C2311yescharacteristic
219C22×C4×D61—21no—
220C22×C4×D61—21no—
221C22×C4×D61—21no—
222C2×#11758190C2311yescharacteristic
223C2×#11758190C2311yescharacteristic
224C2×#11758190C2311yescharacteristic
225C2×#11758200C2311yescharacteristic
226C2×#11758201C2311yescharacteristic
227C2×#11758201C2311yescharacteristic
228C2×#11758201C2311yescharacteristic
229C2×#11758194C2311yescharacteristic
230C2×#11758189C2311yescharacteristic
231C2×#11758189C2311yescharacteristic
232C22×#92418C2311yescharacteristic
233#14519776—21no—
234#14519776—21no—
235#14519776—21no—
236#14519776—21no—
237#14519776C2311yescharacteristic
238#14519776C2311yescharacteristic
239#14519776C2311yescharacteristic
240#14519776C2311yescharacteristic
241#14519776C2311yescharacteristic
242#14519776C2311yescharacteristic
243#14519776C2311yescharacteristic
244#14519775C2311yescharacteristic
245#14519774C2311yescharacteristic
246#14519773C2311yescharacteristic
247#14519773C2311yescharacteristic
248#14519772—21no—
249#14519772—21no—
250#14519772—21no—
251#14519771—21no—
252#14519770—21no—
253#14519770—21no—
254#14519770—21no—
255#14519769—21no—
256#14519769C2311yescharacteristic
257#14519768—21no—
258#14519768—21no—
259#14519768C2311yescharacteristic
260#14519768C2311yescharacteristic
261#14519767—21no—
262#14519767—21no—
263#14519767—21no—
264#14519767—21no—
265#14519767—21no—
266#14519767—21no—
267#14519767—21no—
268#14519766—21no—
269#14519763—21no—
270#14519763—21no—
271#14519763—21no—
272#14519763—21no—
273#14519762—21no—
274#14519762—21no—
275#14519761—21no—
276#14519760—21no—
277#14519760—21no—
278#14519760—21no—
279#14519758—21no—
280#14519757C2311yescharacteristic
281#14519756C2311yescharacteristic
282#14519756C2311yescharacteristic
283#14519755—21no—
284#14519755—21no—
285#14519755—21no—
286#14519755—21no—
287#14519755—21no—
288#14519755—21no—
289#14519755—21no—
290#14519754—21no—
291#14519754—21no—
292#14519754—21no—
293#14519754—21no—
294#14519753—21no—
295#14519753C2311yescharacteristic
296#14519752—21no—
297#14519752—21no—
298#14519752C2311yescharacteristic
299#14519752C2311yescharacteristic
300#14519751—21no—
301#14519751C2311yescharacteristic
302#14519751C2311yescharacteristic
303#14519750—21no—
304#14519750—21no—
305#14519750—21no—
306#14519750—21no—
307#14519749—21no—
308#14519749—21no—
309#14519747—21no—
310#14519747—21no—
311#14519747—21no—
312#14519747—21no—
313#14519745—21no—
314#14519745—21no—
315Q8×Dic61C2311yescharacteristic
316Q8×Dic61C2311yescharacteristic
317C4×Dic122—21no—
318C4×Dic122—21no—
319C4×Dic122—21no—
320C4×Dic122—21no—
321C4×Dic122—21no—
322C4×Dic122C2311yescharacteristic
323C4×Dic122C2311yescharacteristic
324#14519742—21no—
325#14519742—21no—
326#14519742—21no—
327#14519742—21no—
328#14519742—21no—
329#14519742—21no—
330#14519742D411yescharacteristic
331#14519742C2311yescharacteristic
332#14519742C2311yescharacteristic
333C4×D244C2311yescharacteristic
334D4×Dic61D411yescharacteristic
335D4×Dic61C2311yescharacteristic
336#14519739—21no—
337#14519739—21no—
338#14519739—21no—
339#14519739—21no—
340#14519739—21no—
341#14519739C2311yescharacteristic
342#14519739C2311yescharacteristic
343#14519739C2311yescharacteristic
344#14519739C2311yescharacteristic
345#14519739C2311yescharacteristic
346#14519739C2311yescharacteristic
347#14519739C2311yescharacteristic
348C4×C22⋊D61—21no—
349C4×C22⋊D61C2311yescharacteristic
350C4×C22⋊D61C2311yescharacteristic
351#14519737—21no—
352#14519737—21no—
353#14519737—21no—
354#14519737D411yescharacteristic
355#14519737D411yescharacteristic
356#14519736—21no—
357#14519736C2311yescharacteristic
358#14519735D411yescharacteristic
359#14519735C2311yescharacteristic
360#14519735C2311yescharacteristic
361#14519734—21no—
362#14519733—21no—
363#14519733—21no—
364#14519733—21no—
365#14519733—21no—
366#14519733D411yescharacteristic
367#14519733D411yescharacteristic
368C2×C4⋊Dic61C2311yescharacteristic
369C2×#11758196—21no—
370C4⋊C4×D61C2311yescharacteristic
371C2×#11758198—21no—
372C2×#11758198—21no—
373C22⋊C4×D61—21no—
374C2×C4×Dic61C2311yescharacteristic
375C2×C4×Dic61C2311yescharacteristic
376C42×D61C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519710C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392C4⋊#92418C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519701C2311yescharacteristic
403#14519700C2311yescharacteristic
404#14519700C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519699C2311yescharacteristic
407#14519699C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519697C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428C22⋊#92418C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519688C2311yescharacteristic
432#14519687C2311yescharacteristic
433#14519687C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C2×#41×C61—21no—
437C2×SD16×C61C2311yescharacteristic
438C2×M16×C61C2311yescharacteristic
439C22×C8×C61C2311yescharacteristic
440C4⋊Q8×C61C2311yescharacteristic
441#126×C61—21no—
442#125×C61—21no—
443#125×C61C2311yescharacteristic
444#123×C61—21no—
445#123×C61—21no—
446#123×C61—21no—
447C22⋊Q8×C61—21no—
448C22⋊Q8×C61C2311yescharacteristic
449C22⋊Q8×C61C2311yescharacteristic
450#121×C61C2311yescharacteristic
451#121×C61C2311yescharacteristic
452C4×Q8×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455#117×C61—21no—
456#117×C61C2311yescharacteristic
457C2×C4⋊C4×C61C2311yescharacteristic
458C2×C4⋊C4×C61C2311yescharacteristic
459C2×C4⋊C4×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#107×C61C2311yescharacteristic
465#107×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467#106×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469C4⋊C8×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477C22⋊C8×C61C2311yescharacteristic
478#97×C61C2311yescharacteristic
479C23×D61—21no—
480C23×D61—21no—
481C23×D61—21no—
482#41×C61—44no—
483C2×Q8×C61—21no—
484C2×Q8×C61C2411yescharacteristic
485C2×D4×C61—21no—
486C2×D4×C61—21no—
487C2×D4×C61C2×D411yescharacteristic
488C2×D4×C61C2411yescharacteristic
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C22×C4×C61—21no—
492C22×C4×C61—21no—
493C22×C4×C61C2411yescharacteristic
494C22×C4×C61C2411yescharacteristic
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61C2×D411yescharacteristic
503C2×C22⋊D61C2×D411yescharacteristic
504C22×Dic61—21no—
505C22×Dic61—21no—
506C22×Dic61C2×D411yescharacteristic
507C22×Dic61C2×D411yescharacteristic
508C22×Dic61C2×D411yescharacteristic
509C22×Dic61C2×D411yescharacteristic
510#11758226—44no—
511Q8×D61—44no—
512#11758224—24no—
513#11758224—44no—
514#11758224—44no—
515D4×D61—22no—
516D4×D61—41no—
517D4×D61—44no—
518D4×D61—44no—
519D4×D61—44no—
520#11758222—44no—
521#11758222—44no—
522#11758222—44no—
523C2×D244—22no—
524C2×D244—22no—
525C2×D244—21no—
526C2×D244—21no—
527C2×D244—21no—
528C2×D244—21no—
529C2×D244—21no—
530C2×D244—21no—
531C2×D244—41no—
532C2×D244—41no—
533C2×D244C2411yescharacteristic
534C2×D244C2411yescharacteristic
535C2×D244C2411yescharacteristic
536C2×C4×D61—21no—
537C2×C4×D61—21no—
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—44no—
546C2×C4×D61—44no—
547C2×C4×D61—44no—
548C2×C4×D61C2×D411yescharacteristic
549C2×C4×D61C2×D411yescharacteristic
550C2×C4×D61C2411yescharacteristic
551C2×Dic122—21no—
552C2×Dic122—21no—
553C2×Dic122—21no—
554C2×Dic122—21no—
555C2×Dic122—21no—
556C2×Dic122—21no—
557C2×Dic122—21no—
558C2×Dic122—44no—
559C2×Dic122C2×D411yescharacteristic
560C2×Dic122C2411yescharacteristic
561SD16×C61—41no—
562M16×C61—41no—
563C2×C8×C61—41no—
564C2×C8×C61C2411yescharacteristic
565C2×C8×C61C2411yescharacteristic
566C2×C8×C61C2411yescharacteristic
567C2×C8×C61C2411yescharacteristic
568C4⋊C4×C61—21no—
569C4⋊C4×C61—21no—
570C4⋊C4×C61—21no—
571C4⋊C4×C61—21no—
572C4⋊C4×C61—21no—
573C4⋊C4×C61—21no—
574C4⋊C4×C61—21no—
575C4⋊C4×C61—21no—
576C4⋊C4×C61—21no—
577C4⋊C4×C61C2×D411yescharacteristic
578C4⋊C4×C61C2411yescharacteristic
579C4⋊C4×C61C2411yescharacteristic
580C4⋊C4×C61C2411yescharacteristic
581C4⋊C4×C61C2411yescharacteristic
582C4⋊C4×C61C2411yescharacteristic
583C4⋊C4×C61C2411yescharacteristic
584C22⋊C4×C61—21no—
585C22⋊C4×C61—21no—
586C22⋊C4×C61—21no—
587C22⋊C4×C61—21no—
588C22⋊C4×C61—21no—
589C22⋊C4×C61—21no—
590C22⋊C4×C61C2×D411yescharacteristic
591C22⋊C4×C61C2×D411yescharacteristic
592C42×C61—21no—
593C42×C61—21no—
594C42×C61C2411yescharacteristic
595C22⋊Dic61—21no—
596C22⋊Dic61—21no—
597C22⋊Dic61—21no—
598C22⋊Dic61—21no—
599C22⋊Dic61C2×D411yescharacteristic
600C22⋊Dic61C2×D411yescharacteristic
601#11758201—22no—
602#11758201—41no—
603#11758201—41no—
604#11758200—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#11758198—21no—
619#11758198—21no—
620#11758198—21no—
621#11758198C2×D411yescharacteristic
622#11758198C2×D411yescharacteristic
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
634#11758196—21no—
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#11758196—21no—
651#11758196—21no—
652#11758196—21no—
653#11758196—21no—
654#11758196C2×D411yescharacteristic
655#11758196C2×D411yescharacteristic
656#11758196C2×D411yescharacteristic
657#11758196C2×D411yescharacteristic
658C4×Dic61—21no—
659C4×Dic61—21no—
660C4×Dic61—21no—
661C4×Dic61—21no—
662C4×Dic61—21no—
663C4×Dic61—21no—
664C4×Dic61—21no—
665C4×Dic61—21no—
666C4×Dic61C2×D411yescharacteristic
667C4×Dic61C2×D411yescharacteristic
668C4×Dic61C2×D411yescharacteristic
669C4×Dic61C2×D411yescharacteristic
670C4×Dic61C2×D411yescharacteristic
671C4×Dic61C2×D411yescharacteristic
672C4×Dic61C2411yescharacteristic
673C4×Dic61C2411yescharacteristic
674C4×Dic61C2411yescharacteristic
675#11758194—41no—
676C2×#92418—41no—
677C2×#92418C2411yescharacteristic
678C2×#92418C2411yescharacteristic
679C2×#92418C2411yescharacteristic
680C2×#92418C2411yescharacteristic
681#11758190—22no—
682#11758190—41no—
683#11758190—41no—
684#11758189—41no—
685#11758189—41no—
686C23×C61—21no—
687C23×C61C22×D411yescharacteristic
688C23×C61C22×D411yescharacteristic
689C22×D61—21no—
690C22×D61—21no—
691C22×D61—21no—
692C22×D61—42no—
693C22×D61—42no—
694C22×D61—42no—
695C22×D61—42no—
696C22×D61—42no—
697C22×D61—42no—
698C22×D61—81no—
699C22×D61—81no—
700C22×D61—81no—
701C22×D61C22×D411yescharacteristic
702Q8×C61—21no—
703Q8×C61—21no—
704Q8×C61—42no—
705D4×C61—22no—
706D4×C61—21no—
707D4×C61—21no—
708D4×C61—42no—
709D4×C61—42no—
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—21no—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—42no—
722C2×C4×C61—42no—
723C2×C4×C61—42no—
724C2×C4×C61—42no—
725C2×C4×C61C22×D411yescharacteristic
726C2×C4×C61C22×D411yescharacteristic
727C2×C4×C61C22×D411yescharacteristic
728C2×C4×C61C22×D411yescharacteristic
729C2×C4×C61C2511yescharacteristic
730C22⋊D61—22no—
731C22⋊D61—22no—
732C22⋊D61—42no—
733C22⋊D61—42no—
734C22⋊D61—42no—
735C22⋊D61—42no—
736C22⋊D61—42no—
737C22⋊D61—81no—
738C22⋊D61—81no—
739C2×Dic61—22no—
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×Dic61AGL(1,ℤ/8)14yes—
750C2×Dic61C22×D411yescharacteristic
751C2×Dic61C22×D411yescharacteristic
752C2×Dic61C22×D411yescharacteristic
753C2×Dic61C22×D411yescharacteristic
754C2×Dic61C22×D411yescharacteristic
755C2×Dic61C22×D411yescharacteristic
756C2×Dic61C22×D411yescharacteristic
757D244—21no—
758D244—21no—
759D244—21no—
760D244—21no—
761D244—21no—
762D244—42no—
763D244—42no—
764D244—42no—
765D244—42no—
766D244—42no—
767D244—81no—
768D2442−1+412yes—
769C4×D61—21no—
770C4×D61—21no—
771C4×D61—22no—
772C4×D61—41no—
773C4×D61—42no—
774C4×D61—42no—
775C4×D61—42no—
776C4×D61—42no—
777C4×D61—42no—
778C4×D61—42no—
779C4×D61—42no—
780C4×D61—42no—
781C4×D61—42no—
782Dic122—22no—
783Dic122—21no—
784Dic122—21no—
785Dic122—42no—
786Dic122—42no—
787Dic122—42no—
788Dic122—42no—
789Dic122—42no—
790Dic122—42no—
791Dic122—42no—
792C8×C61—21no—
793C8×C61—21no—
794C8×C61—21no—
795C8×C61—21no—
796#92418—21no—
797#92418—21no—
798#92418—21no—
799#92418—21no—
800#62109—611nomaximal, Sylow
801C22×C61—21no—
802C22×C61—21no—
803C22×C61—21no—
804C22×C61—21no—
805C22×C61—21no—
806C22×C61—41no—
807C22×C61—41no—
808C22×C61—41no—
809C22×C61C2×AGL(1,ℤ/8)12yes—
810C22×C61C23×D411yescharacteristic
811C2×D61—21no—
812C2×D61—21no—
813C2×D61—22no—
814C2×D61—21no—
815C2×D61—41no—
816C2×D61—41no—
817C2×D61—41no—
818C2×D61—41no—
819C2×D61—41no—
820C2×D61—41no—
821C2×D61—41no—
822C2×D61—41no—
823C2×D61—84no—
824C2×D61—84no—
825C2×D61—84no—
826C4×C61—21no—
827C4×C61—21no—
828C4×C61—21no—
829C4×C61—21no—
830C4×C61—41no—
831C4×C61—41no—
832C4×C61—41no—
833C4×C61—41no—
834C4×C61—41no—
835C4×C61—41no—
836C4×C61—41no—
837C4×C61C2×2−1+411yescharacteristic
838C4×C61#58511yescharacteristic
839Dic61—21no—
840Dic61—21no—
841Dic61—21no—
842Dic61—21no—
843Dic61—21no—
844Dic61—41no—
845Dic61—41no—
846Dic61—41no—
847Dic61—41no—
848Dic61—41no—
849Dic61C2×AGL(1,ℤ/8)12yes—
850Dic61C2×AGL(1,ℤ/8)12yes—
851#3509—611no—
852D4×#41—611no—
853#3386—611no—
854#3386—611no—
855#3368—611no—
856#3368—611no—
857#3353—611no—
858#3353—611no—
859#3343—611no—
860#3343—611no—
861#3343—611no—
862#3343D6111yescharacteristic, complemented
863#3324—611no—
864#3324—611no—
865#3310—611no—
866#3310—611no—
867#3310—611no—
868#3310—611no—
869#3254—611no—
870#3254—611no—
871#3246—611no—
872#3235—611no—
873#3235—611no—
874#3226—611no—
875#3110—611no—
876#3110—611no—
877#3101—611no—
878#3077—611no—
879#3077—611no—
880C2×#474—611no—
881#2989—611no—
882C2×C61—22no—
883C2×C61—41no—
884C2×C61—81no—
885C2×C61#348911yescharacteristic
886C2×C61C22×AGL(1,ℤ/8)11yescharacteristic
887C2×C61#358611yescharacteristic
888D61—41no—
889D61—42no—
890D61—81no—
891D61—81no—
892C22×#41—1221no—
893#557—611no—
894#557—611no—
895#557—1221no—
896#556—611no—
897#556—611no—
898#556—1221no—
899#552—611no—
900#552—611no—
901#552—611no—
902#552—1221no—
903#552—1221no—
904#552C2×D6111yescharacteristic, complemented
905#550—611no—
906D4×Q8—611no—
907#548—1221no—
908#547—611no—
909#547—611no—
910#547C2×D6111yescharacteristic
911#546—1221no—
912#546—1221no—
913#546—1221no—
914D42—611no—
915D42—611no—
916D42—611no—
917#541—1221no—
918#541—1221no—
919#536—1221no—
920#533—611no—
921#533—611no—
922#533—611no—
923#533—611no—
924#533—611no—
925#532—611no—
926#532—611no—
927#532—611no—
928C2×C4⋊Q8—611no—
929#525—1221no—
930#525—1221no—
931#525—1221no—
932#519—1221no—
933C4×#41—611no—
934C2×C4×D4—611no—
935C2×C4×D4—611no—
936C2×C4×D4—611no—
937#501—611no—
938#501—611no—
939#501—611no—
940#501C2×D6111yescharacteristic, complemented
941#500—611no—
942#500—611no—
943#490—611no—
944#490—611no—
945#490—611no—
946#490—611no—
947#486—611no—
948#486—611no—
949#484—611no—
950#484—611no—
951#484—611no—
952#484C2×D6111yescharacteristic, complemented
953#483—611no—
954#483C2×D6111yescharacteristic, complemented
955#482—611no—
956#482—611no—
957#482—611no—
958#482—611no—
959#482—611no—
960#482—611no—
961#482—611no—
962#482C2×D6111yescharacteristic, complemented
963#480—611no—
964#480—611no—
965#480—611no—
966#480C2×D6111yescharacteristic, complemented
967#478—611no—
968#478—611no—
969#478—611no—
970#478—611no—
971#478—611no—
972#478—611no—
973#478—611no—
974#478C2×D6111yescharacteristic, complemented
975#477—611no—
976#477—611no—
977#477—611no—
978#477C2×D6111yescharacteristic, complemented
979#476—611no—
980#476—611no—
981#476—611no—
982#476—611no—
983#475—611no—
984#475—611no—
985#474—611no—
986#474—611no—
987#474—611no—
988#474—611no—
989#474—611no—
990#474—611no—
991#474—611no—
992#474—611no—
993#474—611no—
994#474—611no—
995#474—611no—
996#474—611no—
997#468—611no—
998#468—611no—
999#468—611no—
1000#468—611no—
1001#468—611no—
1002#468—611no—
1003#468—611no—
1004#468C2×D6111yescharacteristic, complemented
1005#465—611no—
1006#465—611no—
1007#465—611no—
1008#465C2×D6111yescharacteristic, complemented
1009#461—611no—
1010#461—611no—
1011#461—611no—
1012#461—611no—
1013#460—611no—
1014#460—611no—
1015#460—611no—
1016#460—611no—
1017#460—611no—
1018#460—611no—
1019#450—611no—
1020#450—611no—
1021#450—611no—
1022#450—611no—
1023#450—611no—
1024#450—611no—
1025#446—611no—
1026#446—611no—
1027#440—611no—
1028#440—611no—
1029#440—611no—
1030#440—611no—
1031#440—611no—
1032#440—611no—
1033#440—611no—
1034#440C2×D6111yescharacteristic, complemented
1035C4×SD16—611no—
1036C4×SD16—611no—
1037C4×SD16—611no—
1038C4×SD16—611no—
1039#436—611no—
1040#436—611no—
1041#435—611no—
1042#435—611no—
1043#435—611no—
1044#435C2×D6111yescharacteristic, complemented
1045#432—611no—
1046#432—611no—
1047#431—611no—
1048#428—611no—
1049#428—611no—
1050#428—611no—
1051#428C2×D6111yescharacteristic, complemented
1052C2×#107—611no—
1053C2×#107C2×D6111yescharacteristic, complemented
1054#423—611no—
1055#423—611no—
1056C2×C4⋊C8—611no—
1057#418—611no—
1058#418—611no—
1059#418—611no—
1060#418—611no—
1061C2×#102—611no—
1062C2×#102—611no—
1063C61#6210911yescharacteristic, complemented, Sylow
1064C2×#41—21no—
1065C2×#41—611no—
1066C2×#41—1221no—
1067C2×#41—1221no—
1068C2×#41—1221no—
1069C2×#41—1221no—
1070C2×#41—1221no—
1071C2×#41—1221no—
1072C2×#41—2448no—
1073C22×Q8—1221no—
1074C22×Q8—1221no—
1075C22×D4—611no—
1076C22×D4—611no—
1077C22×D4—611no—
1078C22×D4—1221no—
1079C22×D4—1221no—
1080C22×D4—1221no—
1081C23×C4—1221no—
1082C23×C4—1221no—
1083C23×C4—1221no—
1084C2×SD16—611no—
1085C2×SD16—611no—
1086C2×SD16—611no—
1087C2×SD16—611no—
1088C2×SD16—611no—
1089C2×SD16—611no—
1090C2×SD16—611no—
1091C2×SD16C22×D6111yescharacteristic
1092C2×M16—611no—
1093C2×M16—611no—
1094C2×M16—611no—
1095C2×M16C22×D6111yescharacteristic
1096C22×C8—611no—
1097C22×C8C22×D6111yescharacteristic
1098C4⋊Q8—611no—
1099C4⋊Q8—611no—
1100C4⋊Q8—611no—
1101C4⋊Q8—611no—
1102C4⋊Q8—611no—
1103C4⋊Q8—611no—
1104C4⋊Q8—611no—
1105C4⋊Q8—611no—
1106C4⋊Q8—1221no—
1107C4⋊Q8—1221no—
1108C4⋊Q8—1221no—
1109C4⋊Q8—1221no—
1110C4⋊Q8C22×D6111yescharacteristic
1111#127—611no—
1112#127—611no—
1113#127—611no—
1114#126—21no—
1115#126—1221no—
1116#126—1221no—
1117#126—1221no—
1118#126—1221no—
1119#126—1221no—
1120#126—1221no—
1121#126—1221no—
1122#125—21no—
1123#125—611no—
1124#125—611no—
1125#125—611no—
1126#125—1221no—
1127#125—1221no—
1128#125—1221no—
1129#125—1221no—
1130#125—1221no—
1131#125—1221no—
1132#125—1221no—
1133#125—1221no—
1134#125—1221no—
1135#125—1221no—
1136#125C22×D6111yescharacteristic
1137#124—1221no—
1138#124—1221no—
1139#124—1221no—
1140#124—1221no—
1141#124—1221no—
1142#123—21no—
1143#123—21no—
1144#123—21no—
1145#123—1221no—
1146#123—1221no—
1147#123—1221no—
1148#123—1221no—
1149#123—1221no—
1150#123—1221no—
1151#123—1221no—
1152C22⋊Q8—21no—
1153C22⋊Q8—611no—
1154C22⋊Q8—611no—
1155C22⋊Q8—611no—
1156C22⋊Q8—611no—
1157C22⋊Q8—1221no—
1158C22⋊Q8—1221no—
1159C22⋊Q8—1221no—
1160C22⋊Q8—1221no—
1161C22⋊Q8—1221no—
1162C22⋊Q8—1221no—
1163C22⋊Q8—1221no—
1164C22⋊Q8—1221no—
1165C22⋊Q8—1221no—
1166C22⋊Q8—1221no—
1167C22⋊Q8—1221no—
1168C22⋊Q8—1221no—
1169C22⋊Q8C22×D6111yescharacteristic
1170C22⋊Q8C22×D6111yescharacteristic
1171#121—611no—
1172#121—611no—
1173#121—611no—
1174#121—611no—
1175#121—1221no—
1176#121—1221no—
1177#121—1221no—
1178#121—1221no—
1179#121—1221no—
1180#121—1221no—
1181#121—1221no—
1182#121—1221no—
1183#121—1221no—
1184#121C22×D6111yescharacteristic
1185#121C22×D6111yescharacteristic
1186#120—1221no—
1187#120—1221no—
1188#120—1221no—
1189#120—1221no—
1190#120—1221no—
1191#120—1221no—
1192C4×Q8—611no—
1193C4×Q8—611no—
1194C4×Q8—611no—
1195C4×Q8—611no—
1196C4×Q8—611no—
1197C4×Q8—611no—
1198C4×Q8—611no—
1199C4×Q8—1221no—
1200C4×Q8—1221no—
1201C4×Q8—1221no—
1202C4×Q8—1221no—
1203C4×Q8—1221no—
1204C4×Q8—1221no—
1205C4×Q8—1221no—
1206C4×Q8—1221no—
1207C4×Q8—1221no—
1208C4×Q8—1221no—
1209C4×Q8—1221no—
1210C4×Q8C22×D6111yescharacteristic
1211C4×D4—611no—
1212C4×D4—611no—
1213C4×D4—611no—
1214C4×D4—611no—
1215C4×D4—611no—
1216C4×D4—611no—
1217C4×D4—611no—
1218C4×D4—611no—
1219C4×D4—611no—
1220C4×D4—611no—
1221C4×D4—611no—
1222C4×D4—611no—
1223C4×D4—611no—
1224C4×D4—611no—
1225C4×D4—1221no—
1226C4×D4—1221no—
1227C4×D4—1221no—
1228C4×D4—1221no—
1229C4×D4—1221no—
1230C4×D4—1221no—
1231C4×D4—1221no—
1232C4×D4—1221no—
1233C4×D4—1221no—
1234C4×D4C22×D6111yescharacteristic
1235C4×D4C22×D6111yescharacteristic
1236#117—21no—
1237#117—611no—
1238#117—611no—
1239#117—611no—
1240#117—611no—
1241#117—611no—
1242#117—611no—
1243#117—1221no—
1244#117—1221no—
1245#117—1221no—
1246#117—1221no—
1247#117—1221no—
1248#117—1221no—
1249#117C22×D6111yescharacteristic
1250C2×C4⋊C4—611no—
1251C2×C4⋊C4—611no—
1252C2×C4⋊C4—1221no—
1253C2×C4⋊C4C22×D6111yescharacteristic
1254C2×C4⋊C4C22×D6111yescharacteristic
1255C2×C4⋊C4C22×D6111yescharacteristic
1256C2×C22⋊C4—1221no—
1257C2×C22⋊C4—1221no—
1258C2×C22⋊C4—1221no—
1259C2×C42—611no—
1260C2×C42—611no—
1261C2×C42—611no—
1262#107—611no—
1263#107—611no—
1264#107—611no—
1265#107—611no—
1266#107—611no—
1267#107—611no—
1268#107—611no—
1269#107—611no—
1270#107—611no—
1271#107—611no—
1272#107C22×D6111yescharacteristic
1273#107C22×D6111yescharacteristic
1274#107C22×D6111yescharacteristic
1275#107C22×D6111yescharacteristic
1276#107C22×D6111yescharacteristic
1277#107C22×D6111yescharacteristic
1278#106—611no—
1279#106—611no—
1280#106—611no—
1281#106—611no—
1282#106—611no—
1283#106C22×D6111yescharacteristic
1284#106C22×D6111yescharacteristic
1285#106C22×D6111yescharacteristic
1286C4⋊C8—611no—
1287C4⋊C8—611no—
1288C4⋊C8—611no—
1289C4⋊C8—611no—
1290C4⋊C8—611no—
1291C4⋊C8—611no—
1292C4⋊C8—611no—
1293C4⋊C8—611no—
1294C4⋊C8—611no—
1295C4⋊C8C22×D6111yescharacteristic
1296#103—611no—
1297#103—611no—
1298#103—611no—
1299#103—611no—
1300#103—611no—
1301#103C22×D6111yescharacteristic
1302#103C22×D6111yescharacteristic
1303#103C22×D6111yescharacteristic
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#102—611no—
1316#102—611no—
1317#102—611no—
1318#102—611no—
1319#102—611no—
1320#102—611no—
1321#102—611no—
1322#102—611no—
1323#102—611no—
1324#102—611no—
1325#102C22×D6111yescharacteristic
1326#102C22×D6111yescharacteristic
1327#102C22×D6111yescharacteristic
1328C22⋊C8—611no—
1329C22⋊C8—611no—
1330C22⋊C8—611no—
1331C22⋊C8—611no—
1332C22⋊C8C22×D6111yescharacteristic
1333C22⋊C8C22×D6111yescharacteristic
1334#97—611no—
1335#97—611no—
1336#97—611no—
1337#97C22×D6111yescharacteristic
1338C4×C8—611no—
1339C4×C8—611no—
1340C24—1221no—
1341C24—1221no—
1342C24—1221no—
1343#41—44no—
1344#41—1224no—
1345#41—2444no—
1346#41—2444no—
1347#41—2444no—
1348#41—2444no—
1349#41—2444no—
1350#41—2444no—
1351C2×Q8—21no—
1352C2×Q8—611no—
1353C2×Q8—611no—
1354C2×Q8—1221no—
1355C2×Q8—1221no—
1356C2×Q8—1221no—
1357C2×Q8—1221no—
1358C2×Q8—1221no—
1359C2×Q8—1221no—
1360C2×Q8—1221no—
1361C2×Q8—2444no—
1362C2×Q8—2444no—
1363C2×Q8C23×D6111yescharacteristic
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—611no—
1367C2×D4—611no—
1368C2×D4—611no—
1369C2×D4—611no—
1370C2×D4—611no—
1371C2×D4—1222no—
1372C2×D4—1222no—
1373C2×D4—1221no—
1374C2×D4—1221no—
1375C2×D4—1221no—
1376C2×D4—1221no—
1377C2×D4—1221no—
1378C2×D4—1221no—
1379C2×D4—1221no—
1380C2×D4—1222no—
1381C2×D4—1221no—
1382C2×D4—1221no—
1383C2×D4—1221no—
1384C2×D4—1221no—
1385C2×D4—1221no—
1386C2×D4—1221no—
1387C2×D4—2441no—
1388C2×D4—2441no—
1389C2×D4—2441no—
1390C2×D4—2444no—
1391C2×D4—2444no—
1392C2×D4—2444no—
1393C2×D4D4×D6111yescharacteristic
1394C2×D4C23×D6111yescharacteristic
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—611no—
1400C22×C4—611no—
1401C22×C4—611no—
1402C22×C4—611no—
1403C22×C4—611no—
1404C22×C4—611no—
1405C22×C4—611no—
1406C22×C4—1221no—
1407C22×C4—1221no—
1408C22×C4—1221no—
1409C22×C4—1221no—
1410C22×C4—1221no—
1411C22×C4—1221no—
1412C22×C4—1221no—
1413C22×C4—1221no—
1414C22×C4—1221no—
1415C22×C4—1221no—
1416C22×C4—1221no—
1417C22×C4—2444no—
1418C22×C4—2444no—
1419C22×C4—2444no—
1420C22×C4C23×D6111yescharacteristic
1421C22×C4C23×D6111yescharacteristic
1422SD16—41no—
1423SD16—1222no—
1424SD16—1222no—
1425SD16—2441no—
1426SD16—2441no—
1427SD16—2441no—
1428SD16—2441no—
1429SD16—2441no—
1430M16—41no—
1431M16—2441no—
1432M16—2441no—
1433M16—2441no—
1434C2×C8—41no—
1435C2×C8—611no—
1436C2×C8—611no—
1437C2×C8—611no—
1438C2×C8—611no—
1439C2×C8—2441no—
1440C2×C8C23×D6111yescharacteristic
1441C2×C8C23×D6111yescharacteristic
1442C2×C8C23×D6111yescharacteristic
1443C2×C8C23×D6111yescharacteristic
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—611no—
1454C4⋊C4—611no—
1455C4⋊C4—611no—
1456C4⋊C4—611no—
1457C4⋊C4—611no—
1458C4⋊C4—611no—
1459C4⋊C4—611no—
1460C4⋊C4—611no—
1461C4⋊C4—611no—
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⋊C4—1221no—
1472C4⋊C4—1221no—
1473C4⋊C4—1221no—
1474C4⋊C4—1221no—
1475C4⋊C4—1221no—
1476C4⋊C4—1221no—
1477C4⋊C4—1221no—
1478C4⋊C4—1221no—
1479C4⋊C4—1221no—
1480C4⋊C4—1221no—
1481C4⋊C4—1221no—
1482C4⋊C4—1221no—
1483C4⋊C4—1221no—
1484C4⋊C4—1221no—
1485C4⋊C4—1221no—
1486C4⋊C4—1221no—
1487C4⋊C4—1221no—
1488C4⋊C4D4×D6111yescharacteristic
1489C4⋊C4C23×D6111yescharacteristic
1490C4⋊C4C23×D6111yescharacteristic
1491C4⋊C4C23×D6111yescharacteristic
1492C4⋊C4C23×D6111yescharacteristic
1493C4⋊C4C23×D6111yescharacteristic
1494C4⋊C4C23×D6111yescharacteristic
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—611no—
1502C22⋊C4—611no—
1503C22⋊C4—611no—
1504C22⋊C4—611no—
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⋊C4—1221no—
1516C22⋊C4—1221no—
1517C22⋊C4—1221no—
1518C22⋊C4—1221no—
1519C22⋊C4—1221no—
1520C22⋊C4—1221no—
1521C22⋊C4—1221no—
1522C22⋊C4—1221no—
1523C22⋊C4—1221no—
1524C22⋊C4—1221no—
1525C22⋊C4D4×D6111yescharacteristic
1526C22⋊C4D4×D6111yescharacteristic
1527C42—21no—
1528C42—21no—
1529C42—611no—
1530C42—611no—
1531C42—611no—
1532C42—611no—
1533C42—611no—
1534C42—611no—
1535C42—611no—
1536C42—611no—
1537C42—611no—
1538C42—1221no—
1539C42—1221no—
1540C42—1221no—
1541C42—1221no—
1542C42—1221no—
1543C42—1221no—
1544C42—1221no—
1545C42—1221no—
1546C42C23×D6111yescharacteristic
1547C23—21no—
1548C23—611no—
1549C23—1221no—
1550C23—1221no—
1551C23—1221no—
1552C23—4881no—
1553C23—4881no—
1554C23—4881no—
1555C23—2442no—
1556C23—2442no—
1557C23—2442no—
1558C23—2442no—
1559C23—2442no—
1560C23—2442no—
1561C23C2×D4×D6111yescharacteristic
1562C23C2×D4×D6111yescharacteristic
1563Q8—21no—
1564Q8—21no—
1565Q8—42no—
1566Q8—1222no—
1567Q8—1221no—
1568Q8—1221no—
1569Q8—2442no—
1570Q8—2442no—
1571Q8—2442no—
1572Q8—2442no—
1573Q8—2442no—
1574Q8—2442no—
1575Q8—2442no—
1576D4—22no—
1577D4—21no—
1578D4—21no—
1579D4—42no—
1580D4—42no—
1581D4—612no—
1582D4—1222no—
1583D4—1222no—
1584D4—1221no—
1585D4—1221no—
1586D4—1221no—
1587D4—1221no—
1588D4—1221no—
1589D4—4881no—
1590D4—4881no—
1591D4—4881no—
1592D4—2442no—
1593D4—2442no—
1594D4—2442no—
1595D4—2442no—
1596D4—2442no—
1597D4—2442no—
1598D4—2442no—
1599D4—2442no—
1600D4—2442no—
1601D4—2442no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—42no—
1614C2×C4—42no—
1615C2×C4—42no—
1616C2×C4—42no—
1617C2×C4—614no—
1618C2×C4—611no—
1619C2×C4—611no—
1620C2×C4—611no—
1621C2×C4—611no—
1622C2×C4—611no—
1623C2×C4—611no—
1624C2×C4—611no—
1625C2×C4—1222no—
1626C2×C4—1222no—
1627C2×C4—1221no—
1628C2×C4—1221no—
1629C2×C4—1221no—
1630C2×C4—1221no—
1631C2×C4—1221no—
1632C2×C4—1221no—
1633C2×C4—1221no—
1634C2×C4—2441no—
1635C2×C4—2442no—
1636C2×C4—2442no—
1637C2×C4—2442no—
1638C2×C4—2442no—
1639C2×C4—2442no—
1640C2×C4—2442no—
1641C2×C4—2442no—
1642C2×C4—2442no—
1643C2×C4—2442no—
1644C2×C4—2442no—
1645C2×C4—2441no—
1646C2×C4—2441no—
1647C2×C4—2442no—
1648C2×C4C2×D4×D6111yescharacteristic
1649C2×C4C2×D4×D6111yescharacteristic
1650C2×C4C2×D4×D6111yescharacteristic
1651C2×C4C2×D4×D6111yescharacteristic
1652C2×C4C24×D6111yescharacteristic
1653C8—21no—
1654C8—21no—
1655C8—21no—
1656C8—21no—
1657C8—1221no—
1658C8—1221no—
1659C8—1221no—
1660C8—1221no—
1661C22—21no—
1662C22—21no—
1663C22—21no—
1664C22—21no—
1665C22—21no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—1221no—
1670C22—1222no—
1671C22—1221no—
1672C22—1221no—
1673C22—4884no—
1674C22—4884no—
1675C22—4884no—
1676C22—2441no—
1677C22—2441no—
1678C22—2441no—
1679C22—2441no—
1680C22—2441no—
1681C22—2441no—
1682C22—2441no—
1683C22—2441no—
1684C22AGL(1,ℤ/8)×D6112yes—
1685C22C22×D4×D6111yescharacteristic
1686C4—21no—
1687C4—21no—
1688C4—21no—
1689C4—21no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—612no—
1698C4—612no—
1699C4—1221no—
1700C4—1221no—
1701C4—1221no—
1702C4—1221no—
1703C4—1221no—
1704C4—2441no—
1705C4—2441no—
1706C4—2441no—
1707C4—2441no—
1708C4—2441no—
1709C42−1+4×D6111yescharacteristic
1710C4#1684059811yescharacteristic
1711C2—22no—
1712C2—41no—
1713C2—81no—
1714C2—4881no—
1715C2—4881no—
1716C2—2441no—
1717C2—2442no—
1718C2#2145949311yescharacteristic
1719C2C2×AGL(1,ℤ/8)×D6111yescharacteristic
1720C2#2146060411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3343C2
socleC22×C61C23×D4
prime radical#21459306C2
hypercenter#3343D61
hypocenterC61#62109
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3343

Complements

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

NH ≅ G/Ntype
1. #21459697C2semidirect
3. #21458743C2semidirect
4. #21458737C2semidirect
5. #21458551C2semidirect
6. #21458549C2semidirect
7. #21458399C2semidirect
8. #21458396C2semidirect
9. #21458257C2semidirect
10. #21458255C2semidirect
11. #21458253C2semidirect
12. #21458048C2semidirect
13. #21458045C2semidirect
14. #21457846C2semidirect
15. #21457842C2semidirect
16. #21457838C2semidirect
17. #21457834C2semidirect
18. #21457205C2semidirect
19. #21457201C2semidirect
20. #21457130C2semidirect
21. #21457018C2semidirect
22. #21457014C2semidirect
23. #21456938C2semidirect
24. #21455916C2semidirect
25. #21455915C2semidirect
26. #21455824C2semidirect
27. #21455615C2semidirect
28. #21455614C2semidirect
29. C2×#16840041C2semidirect
30. #21454931C2semidirect
31. C61×#3343C2semidirect
34. #16840489C22semidirect
35. #16840488C22semidirect
36. #16840483C22semidirect
37. #16840480C22semidirect
39. #16840454C22semidirect
40. #16840452C22semidirect
42. #16840447C22semidirect
58. #16840318C22semidirect
59. #16840316C22semidirect
60. #16840315C22semidirect
61. #16840314C22semidirect
62. #16840314C22semidirect
66. C2×#14519776C22semidirect
75. #16840170C22semidirect
76. #16840169C22semidirect
77. #16840168C22semidirect
78. #16840166C22semidirect
79. #16840166C22semidirect
80. #16840128C22semidirect
81. #16840127C22semidirect
82. #16840125C22semidirect
83. #16840125C22semidirect
84. #16840107C22semidirect
85. #16840107C22semidirect
86. #16840099C22semidirect
87. #16840097C22semidirect
88. #16840096C22semidirect
89. #16840092C22semidirect
90. #16840089C22semidirect
91. #16840089C22semidirect
92. #16840088C22semidirect
93. #16840088C22semidirect
94. #16840087C22semidirect
95. #16840086C22semidirect
96. #16840083C22semidirect
97. #16840076C22semidirect
98. #16840075C22semidirect
99. #16840073C22semidirect
101. #16840065C22semidirect
103. #16840062C22semidirect
105. #16840061C22semidirect
107. #16840056C22semidirect
108. #16840055C22semidirect
109. #16840054C22semidirect
111. #16840051C22semidirect
112. #16840051C22semidirect
113. #16840050C22semidirect
114. #16840046C22semidirect
115. #16840045C22semidirect
120. #16840041C22semidirect
121. #16840041C22semidirect
122. #16840041C22semidirect
123. #16840041C22semidirect
124. #16840041C22semidirect
125. #16840041C22semidirect
126. #16840040C22semidirect
127. #16840040C22semidirect
128. #16840011C22semidirect
129. #16840011C22semidirect
130. #16840010C22semidirect
131. #16840009C22semidirect
132. #16840009C22semidirect
133. #16840008C22semidirect
134. #16840006C22semidirect
135. #16839993C22semidirect
136. #16839991C22semidirect
137. #16839989C22semidirect
139. #16839966C22semidirect
140. #16839966C22semidirect
141. #16839965C22semidirect
142. #16839963C22semidirect
143. #16839962C22semidirect
144. #16839961C22semidirect
145. #16839961C22semidirect
146. #16839960C22semidirect
147. #16839960C22semidirect
154. #16839891C22semidirect
155. #16839890C22semidirect
157. #16839865C22semidirect
159. #16839862C22semidirect
161. #16839861C22semidirect
164. #16839849C22semidirect
166. #16839847C22semidirect
167. #16839838C22semidirect
168. #16839837C22semidirect
169. #16839834C22semidirect
170. #16839833C22semidirect
171. #16839830C22semidirect
172. #16839817C22semidirect
173. #16839816C22semidirect
174. #16839812C22semidirect
175. #16839803C22semidirect
176. #16839802C22semidirect
177. #16839801C22semidirect
178. C2×#14519710C22semidirect
179. #16839785C22semidirect
180. #16839784C22semidirect
181. C2×#14519706C22semidirect
188. C61×#552C22semidirect
190. C61×#501C22semidirect
191. C61×#484C22semidirect
192. C61×#483C22semidirect
193. C61×#482C22semidirect
194. C61×#480C22semidirect
195. C61×#478C22semidirect
196. C61×#477C22semidirect
197. C61×#468C22semidirect
198. C61×#465C22semidirect
199. C61×#440C22semidirect
200. C61×#435C22semidirect
201. C61×#428C22semidirect
202. C2×#107×C61C22semidirect
862. #3343D61semidirect
904. #552C2×D61semidirect
940. #501C2×D61semidirect
952. #484C2×D61semidirect
954. #483C2×D61semidirect
962. #482C2×D61semidirect
966. #480C2×D61semidirect
974. #478C2×D61semidirect
978. #477C2×D61semidirect
1004. #468C2×D61semidirect
1008. #465C2×D61semidirect
1034. #440C2×D61semidirect
1044. #435C2×D61semidirect
1051. #428C2×D61semidirect
1053. C2×#107C2×D61semidirect
1063. C61#62109semidirect

Maximal subgroups

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

subgroupindex
#214596972
#214593062
#214587432
#214587372
#214585512
#214585492
#214583992
#214583962
#214582572
#214582552
#214582532
#214580482
#214580452
#214578462
#214578422
#214578382
#214578342
#214572052
#214572012
#214571302
#214570182
#214570142
#214569382
#214559162
#214559152
#214558242
#214556152
#214556142
C2×#168400412
#214549312
C61×#33432
#6210961