Finite Group Databasebeta

← #30575873

Subgroups — #30575873

Order 15616.

1772 conjugacy classes of subgroups.

The subgroup lattice has 1680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459721C211yesmaximal, characteristic, complemented
2#21459382C211yesmaximal, characteristic, complemented
3#21458778C211yesmaximal, characteristic, complemented
4#21458776C211yesmaximal, characteristic, complemented
5#21458641C211yesmaximal, characteristic, complemented
6#21458639C211yesmaximal, characteristic, complemented
7#21458382C211yesmaximal, characteristic, complemented
8#21458374C211yesmaximal, characteristic, complemented
9#21458340C211yesmaximal, characteristic, complemented
10#21458338C211yesmaximal, characteristic, complemented
11#21458321C211yesmaximal, characteristic, complemented
12#21458313C211yesmaximal, characteristic, complemented
13#21458021C211yesmaximal, characteristic, complemented
14#21458013C211yesmaximal, characteristic, complemented
15#21457979C211yesmaximal, characteristic, complemented
16#21457971C211yesmaximal, characteristic, complemented
17#21457795C211yesmaximal, characteristic, complemented
18#21457203C211yesmaximal, characteristic, complemented
19#21457176C211yesmaximal, characteristic, complemented
20#21457140C211yesmaximal, characteristic, complemented
21#21457043C211yesmaximal, characteristic, complemented
22#21457028C211yesmaximal, characteristic, complemented
23#21457001C211yesmaximal, characteristic, complemented
24#21455963C211yesmaximal, characteristic, complemented
25#21455908C211yesmaximal, characteristic, complemented
26#21455872C211yesmaximal, characteristic, complemented
27#21455630C211yesmaximal, characteristic, complemented
28#21455614C211yesmaximal, characteristic, complemented
29#21455603C211yesmaximal, characteristic, complemented
30#21454931C211yesmaximal, characteristic, complemented
31C61×#3307C211yesmaximal, characteristic, complemented
32#16840486C2211yescharacteristic
33#16840479—21no—
34#16840477C2211yescharacteristic
35#16840476C2211yescharacteristic
36#16840475C2211yescharacteristic
37#16840471C2211yescharacteristic, complemented
38#16840469C2211yescharacteristic
39#16840468C2211yescharacteristic, complemented
40#16840464—21no—
41#16840464C2211yescharacteristic
42#16840460C2211yescharacteristic
43#16840458C2211yescharacteristic, complemented
44#16840447—21no—
45#16840446C2211yescharacteristic
46#16840446C2211yescharacteristic
47#16840435—21no—
48#16840435—21no—
49#16840421—21no—
50#16840418—21no—
51#16840410—21no—
52#16840400C2211yescharacteristic
53#16840400C2211yescharacteristic
54#16840380—21no—
55#16840378—21no—
56#16840339—21no—
57#16840318C2211yescharacteristic
58#16840317C2211yescharacteristic
59#16840315C2211yescharacteristic, complemented
60#16840309C2211yescharacteristic
61#16840307C2211yescharacteristic, complemented
62#16840307C2211yescharacteristic, complemented
63C2×#14519776C2211yescharacteristic, complemented
64#16840298C2211yescharacteristic
65#16840298C2211yescharacteristic
66#16840289—21no—
67#16840289—21no—
68#16840272—21no—
69#16840241—21no—
70#41×Dic61C2211yescharacteristic
71#41×Dic61C2211yescharacteristic
72C4×#11758224C2211yescharacteristic
73C4×D4×D61C2211yescharacteristic
74C2×#14519735—21no—
75#16840172C2211yescharacteristic, complemented
76#16840171C2211yescharacteristic, complemented
77#16840169C2211yescharacteristic, complemented
78#16840169C2211yescharacteristic, complemented
79#16840163C2211yescharacteristic, complemented
80#16840162C2211yescharacteristic, complemented
81#16840130C2211yescharacteristic, complemented
82#16840123C2211yescharacteristic
83#16840123C2211yescharacteristic
84#16840118C2211yescharacteristic
85#16840118C2211yescharacteristic
86#16840102C2211yescharacteristic
87#16840102C2211yescharacteristic
88#16840101C2211yescharacteristic
89#16840101C2211yescharacteristic
90#16840100C2211yescharacteristic, complemented
91#16840090C2211yescharacteristic, complemented
92#16840087C2211yescharacteristic
93#16840087C2211yescharacteristic, complemented
94#16840087C2211yescharacteristic, complemented
95#16840086C2211yescharacteristic
96#16840083C2211yescharacteristic, complemented
97#16840083C2211yescharacteristic, complemented
98#16840082C2211yescharacteristic
99#16840079C2211yescharacteristic
100#16840076C2211yescharacteristic
101#16840075C2211yescharacteristic
102#16840071C2211yescharacteristic, complemented
103#16840067C2211yescharacteristic, complemented
104#16840065C2211yescharacteristic, complemented
105#16840064C2211yescharacteristic
106#16840064C2211yescharacteristic, complemented
107#16840063C2211yescharacteristic
108#16840062C2211yescharacteristic
109#16840061C2211yescharacteristic, complemented
110#16840060C2211yescharacteristic
111#16840060C2211yescharacteristic, complemented
112#16840059C2211yescharacteristic
113#16840055C2211yescharacteristic, complemented
114#16840055C2211yescharacteristic, complemented
115#16840055C2211yescharacteristic, complemented
116#16840055C2211yescharacteristic, complemented
117#16840051C2211yescharacteristic
118#16840051C2211yescharacteristic
119#16840050C2211yescharacteristic
120#16840050C2211yescharacteristic
121#16840045C2211yescharacteristic, complemented
122#16840045C2211yescharacteristic, complemented
123#16840045C2211yescharacteristic, complemented
124#16840045C2211yescharacteristic, complemented
125#16840043C2211yescharacteristic, complemented
126#16840042C2211yescharacteristic, complemented
127#16840041C2211yescharacteristic
128#16840040C2211yescharacteristic
129#16840040C2211yescharacteristic
130#16840040C2211yescharacteristic
131#16840015C2211yescharacteristic
132#16840013C2211yescharacteristic
133#16840011C2211yescharacteristic
134#16840011C2211yescharacteristic
135#16840010C2211yescharacteristic, complemented
136#16840005C2211yescharacteristic
137#16840005C2211yescharacteristic
138#16839998C2211yescharacteristic
139#16839996C2211yescharacteristic
140#16839993C2211yescharacteristic, complemented
141#16839980C2211yescharacteristic
142#16839980C2211yescharacteristic
143#16839979C2211yescharacteristic
144#16839979C2211yescharacteristic
145#16839964C2211yescharacteristic, complemented
146#16839960C2211yescharacteristic, complemented
147#16839960C2211yescharacteristic, complemented
148#16839956C2211yescharacteristic
149#16839955C2211yescharacteristic
150#16839907C2211yescharacteristic
151#16839907C2211yescharacteristic
152#16839897C2211yescharacteristic
153#16839894C2211yescharacteristic
154#16839891C2211yescharacteristic, complemented
155#16839890C2211yescharacteristic, complemented
156#16839875C2211yescharacteristic
157#16839874C2211yescharacteristic
158#16839872C2211yescharacteristic
159#16839872C2211yescharacteristic
160#16839871C2211yescharacteristic
161#16839865C2211yescharacteristic, complemented
162#16839863C2211yescharacteristic, complemented
163SD16×Dic61C2211yescharacteristic, complemented
164#16839847C2211yescharacteristic, complemented
165D8×Dic61C2211yescharacteristic
166#16839842C2211yescharacteristic
167#16839838C2211yescharacteristic
168#16839837C2211yescharacteristic
169#16839834C2211yescharacteristic, complemented
170#16839833C2211yescharacteristic
171#16839830C2211yescharacteristic
172#16839817C2211yescharacteristic
173#16839816C2211yescharacteristic, complemented
174#16839812C2211yescharacteristic, complemented
175#16839804C2211yescharacteristic, complemented
176#16839803C2211yescharacteristic
177#16839802C2211yescharacteristic, complemented
178#16839801C2211yescharacteristic
179#16839800C2211yescharacteristic, complemented
180#16839798C2211yescharacteristic, complemented
181#16839785C2211yescharacteristic, complemented
182#16839784C2211yescharacteristic
183C2×#14519706C2211yescharacteristic, complemented
184#16839765C2211yescharacteristic
185#16839765C2211yescharacteristic
186#16839763C2211yescharacteristic
187#16839758C2211yescharacteristic
188C61×#553C2211yescharacteristic, complemented
189C61×#547C2211yescharacteristic
190C61×#491C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#483C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic
194C61×#468C2211yescharacteristic, complemented
195C61×#465C2211yescharacteristic, complemented
196C61×#461C2211yescharacteristic, complemented
197C61×#449C2211yescharacteristic
198C61×#449C2211yescharacteristic
199C61×#442C2211yescharacteristic
200C61×#435C2211yescharacteristic, complemented
201C61×#417C2211yescharacteristic
202C61×#416C2211yescharacteristic
203C2×#11758222—21no—
204C2×#11758224—21no—
205C2×#11758224—21no—
206C2×#11758224D411yescharacteristic
207C22×Dic122—21no—
208C2×D4×D61C2311yescharacteristic
209C22×C4×D61—21no—
210C2×#11758201C2311yescharacteristic
211C2×#11758201C2311yescharacteristic
212C2×D488C2311yescharacteristic
213C2×#11758199C2311yescharacteristic
214C2×#11758199C2311yescharacteristic
215C2×#11758194C2311yescharacteristic
216C2×#11758189C2311yescharacteristic
217C2×#11758189C2311yescharacteristic
218C22×#92418C2311yescharacteristic
219#14519777C2311yescharacteristic
220#14519776—21no—
221#14519776—21no—
222#14519776C2311yescharacteristic
223#14519776C2311yescharacteristic
224#14519776C2311yescharacteristic
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519773C2311yescharacteristic
228#14519772—21no—
229#14519772—21no—
230#14519772—21no—
231#14519772—21no—
232#14519772—21no—
233#14519772—21no—
234#14519770—21no—
235#14519770—21no—
236#14519770—21no—
237#14519769C2311yescharacteristic
238#14519768—21no—
239#14519768C2311yescharacteristic
240#14519768C2311yescharacteristic
241#14519768C2311yescharacteristic
242#14519768C2311yescharacteristic
243#14519767—21no—
244#14519767—21no—
245#14519766C2311yescharacteristic
246#14519766C2311yescharacteristic
247#14519765—21no—
248#14519764—21no—
249#14519763—21no—
250#14519763—21no—
251#14519763—21no—
252#14519763—21no—
253#14519763—21no—
254#14519763—21no—
255#14519763—21no—
256#14519762—21no—
257#14519761—21no—
258#14519761—21no—
259#14519761—21no—
260#14519760—21no—
261#14519760—21no—
262#14519759—21no—
263#14519759—21no—
264#14519759—21no—
265#14519757—21no—
266#14519757—21no—
267#14519757—21no—
268#14519756—21no—
269#14519756—21no—
270#14519755—21no—
271#14519755—21no—
272#14519755—21no—
273#14519755—21no—
274#14519754—21no—
275#14519754—21no—
276#14519754—21no—
277#14519754—21no—
278#14519754—21no—
279#14519754—21no—
280#14519753C2311yescharacteristic
281#14519753C2311yescharacteristic
282#14519752C2311yescharacteristic
283#14519751—21no—
284#14519751C2311yescharacteristic
285#14519751C2311yescharacteristic
286#14519751C2311yescharacteristic
287#14519751C2311yescharacteristic
288#14519750—21no—
289#14519750—21no—
290#14519749—21no—
291#14519749—21no—
292#14519749—21no—
293#14519749—21no—
294#14519749—21no—
295#14519749—21no—
296#14519749—21no—
297#14519748—21no—
298#14519748C2311yescharacteristic
299#14519745—21no—
300#14519745—21no—
301Q8×Dic61C2311yescharacteristic
302Q8×Dic61C2311yescharacteristic
303Q8×Dic61C2311yescharacteristic
304Q8×Dic61C2311yescharacteristic
305C4×Dic122—21no—
306C4×Dic122—21no—
307C4×Dic122C2311yescharacteristic
308#14519742—21no—
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
325#14519739C2311yescharacteristic
326#14519739C2311yescharacteristic
327#14519739C2311yescharacteristic
328C4×C22⋊D61—21no—
329C4×C22⋊D61—21no—
330C4×C22⋊D61—21no—
331C4×C22⋊D61C2311yescharacteristic
332C4×C22⋊D61C2311yescharacteristic
333#14519737—21no—
334#14519737—21no—
335#14519737—21no—
336#14519737—21no—
337#14519737—21no—
338#14519737—21no—
339#14519737D411yescharacteristic
340#14519737D411yescharacteristic
341#14519736—21no—
342#14519736—21no—
343#14519736C2311yescharacteristic
344#14519736C2311yescharacteristic
345#14519736C2311yescharacteristic
346#14519735—21no—
347#14519735—21no—
348#14519735—21no—
349#14519735—21no—
350#14519735—21no—
351#14519735—21no—
352#14519735—21no—
353#14519735D411yescharacteristic
354#14519735C2311yescharacteristic
355#14519735C2311yescharacteristic
356#14519734—21no—
357#14519733—21no—
358#14519733D411yescharacteristic
359#14519733D411yescharacteristic
360C2×C4⋊Dic61—21no—
361C2×C4⋊Dic61C2311yescharacteristic
362C2×#11758196—21no—
363C2×#11758196—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61C2311yescharacteristic
366C2×#11758198—21no—
367C2×#11758198—21no—
368C22⋊C4×D61—21no—
369C2×C4×Dic61—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#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519708C2311yescharacteristic
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#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
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
436C2×#41×C61C2311yescharacteristic
437C2×SD16×C61C2311yescharacteristic
438C2×SD16×C61C2311yescharacteristic
439C2×D8×C61C2311yescharacteristic
440C2×M16×C61C2311yescharacteristic
441C22×C8×C61C2311yescharacteristic
442C4⋊Q8×C61C2311yescharacteristic
443#126×C61—21no—
444#125×C61C2311yescharacteristic
445#123×C61—21no—
446#123×C61—21no—
447#123×C61—21no—
448C22⋊Q8×C61C2311yescharacteristic
449C22⋊Q8×C61C2311yescharacteristic
450#121×C61—21no—
451#121×C61—21no—
452#121×C61C2311yescharacteristic
453#121×C61C2311yescharacteristic
454C4×D4×C61—21no—
455C4×D4×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458#117×C61C2311yescharacteristic
459C2×C4⋊C4×C61—21no—
460C2×C4⋊C4×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465#103×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C23×D61—21no—
479#41×C61—22no—
480#41×C61—22no—
481#41×C61—41no—
482#41×C61—41no—
483C2×Q8×C61C2411yescharacteristic
484C2×Q8×C61C2411yescharacteristic
485C2×D4×C61—21no—
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61—21no—
489C2×D4×C61C2×D411yescharacteristic
490C2×D4×C61C2411yescharacteristic
491C2×D4×C61C2411yescharacteristic
492C22×C4×C61—21no—
493C22×C4×C61—21no—
494C22×C4×C61—21no—
495C22×C4×C61—21no—
496C22×C4×C61—21no—
497C22×C4×C61C2411yescharacteristic
498C22×C4×C61C2411yescharacteristic
499C2×C22⋊D61—21no—
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⋊D61C2×D411yescharacteristic
508C2×C22⋊D61C2×D411yescharacteristic
509C22×Dic61—21no—
510C22×Dic61—21no—
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61—21no—
514C22×Dic61—21no—
515C22×Dic61C2×D411yescharacteristic
516C22×Dic61C2×D411yescharacteristic
517C22×Dic61C2×D411yescharacteristic
518C22×Dic61C2×D411yescharacteristic
519#11758224—42no—
520#11758224—44no—
521#11758224—82no—
522D4×D61—22no—
523D4×D61—41no—
524#11758222—82no—
525C2×D244—21no—
526C2×D244C2411yescharacteristic
527C2×D244C2411yescharacteristic
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—44no—
535C2×C4×D61C2×D411yescharacteristic
536C2×C4×D61C2×D411yescharacteristic
537C2×C4×D61C2411yescharacteristic
538C2×Dic122—21no—
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122—21no—
543C2×Dic122—21no—
544C2×Dic122—82no—
545C2×Dic122C2×D411yescharacteristic
546SD16×C61—41no—
547SD16×C61—41no—
548D8×C61—22no—
549M16×C61—41no—
550C2×C8×C61—41no—
551C2×C8×C61C2411yescharacteristic
552C2×C8×C61C2411yescharacteristic
553C2×C8×C61C2411yescharacteristic
554C2×C8×C61C2411yescharacteristic
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61C2×D411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C4⋊C4×C61C2411yescharacteristic
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61C2×D411yescharacteristic
575C22⋊C4×C61C2×D411yescharacteristic
576C42×C61—21no—
577C42×C61C2411yescharacteristic
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61C2×D411yescharacteristic
588C22⋊Dic61C2×D411yescharacteristic
589#11758201—41no—
590#11758201—41no—
591#11758199—22no—
592#11758199—41no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198—21no—
609#11758198—21no—
610#11758198—21no—
611#11758198C2×D411yescharacteristic
612#11758198C2×D411yescharacteristic
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61—21no—
623C4⋊Dic61C2×D411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
627C4⋊Dic61C2411yescharacteristic
628C4⋊Dic61C2411yescharacteristic
629C4⋊Dic61C2411yescharacteristic
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
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#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2×D411yescharacteristic
662C4×Dic61C2×D411yescharacteristic
663C4×Dic61C2411yescharacteristic
664C4×Dic61C2411yescharacteristic
665C4×Dic61C2411yescharacteristic
666#11758194—41no—
667C2×#92418—41no—
668C2×#92418C2411yescharacteristic
669C2×#92418C2411yescharacteristic
670C2×#92418C2411yescharacteristic
671C2×#92418C2411yescharacteristic
672D488—41no—
673#11758189—41no—
674#11758189—41no—
675C23×C61—21no—
676C23×C61—21no—
677C23×C61C22×D411yescharacteristic
678C23×C61C22×D411yescharacteristic
679C22×D61—21no—
680C22×D61—21no—
681C22×D61—42no—
682C22×D61—42no—
683C22×D61—81no—
684C22×D61C22×D411yescharacteristic
685Q8×C61—21no—
686Q8×C61—21no—
687Q8×C61—21no—
688Q8×C61—21no—
689D4×C61—21no—
690D4×C61—21no—
691D4×C61—21no—
692D4×C61—41no—
693D4×C61—42no—
694D4×C61—42no—
695D4×C61—42no—
696D4×C61—81no—
697D4×C612−1+412yes—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—42no—
709C2×C4×C61—42no—
710C2×C4×C61—42no—
711C2×C4×C61—81no—
712C2×C4×C61—81no—
713C2×C4×C61C22×D411yescharacteristic
714C2×C4×C61C22×D411yescharacteristic
715C2×C4×C61C22×D411yescharacteristic
716C2×C4×C61C22×D411yescharacteristic
717C2×C4×C61C2511yescharacteristic
718C22⋊D61—41no—
719C22⋊D61—41no—
720C22⋊D61—42no—
721C22⋊D61—42no—
722C22⋊D61—42no—
723C22⋊D61—42no—
724C22⋊D61—81no—
725C22⋊D61—81no—
726C22⋊D61—81no—
727C22⋊D61—81no—
728C2×Dic61—22no—
729C2×Dic61—22no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—41no—
737C2×Dic61—41no—
738C2×Dic61—42no—
739C2×Dic61—42no—
740C2×Dic61—81no—
741C2×Dic61—81no—
742C2×Dic61—81no—
743C2×Dic61—81no—
744C2×Dic61C22×D411yescharacteristic
745C2×Dic61C22×D411yescharacteristic
746C2×Dic61C22×D411yescharacteristic
747C2×Dic61C22×D411yescharacteristic
748C2×Dic61C22×D411yescharacteristic
749C2×Dic61C22×D411yescharacteristic
750C2×Dic61C22×D411yescharacteristic
751D244—21no—
752D244—21no—
753D244—21no—
754D244—21no—
755D244—81no—
756C4×D61—21no—
757C4×D61—21no—
758C4×D61—22no—
759C4×D61—41no—
760C4×D61—42no—
761C4×D61—42no—
762C4×D61—42no—
763C4×D61—42no—
764C4×D61—81no—
765C4×D61—81no—
766Dic122—41no—
767Dic122—42no—
768Dic122—42no—
769Dic122—42no—
770Dic122—81no—
771Dic122—81no—
772Dic122—81no—
773C8×C61—21no—
774C8×C61—21no—
775C8×C61—21no—
776C8×C61—21no—
777#92418—21no—
778#92418—21no—
779#92418—21no—
780#92418—21no—
781#62115—611nomaximal, Sylow
782C22×C61—21no—
783C22×C61—21no—
784C22×C61—22no—
785C22×C61—21no—
786C22×C61—21no—
787C22×C61—21no—
788C22×C61—21no—
789C22×C61—41no—
790C22×C61—41no—
791C22×C61—41no—
792C22×C61—41no—
793C22×C61—41no—
794C22×C61C23×D411yescharacteristic
795C2×D61—21no—
796C2×D61—21no—
797C2×D61—21no—
798C2×D61—41no—
799C2×D61—41no—
800C2×D61—41no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—41no—
804C2×D61—84no—
805C4×C61—21no—
806C4×C61—21no—
807C4×C61—21no—
808C4×C61—21no—
809C4×C61—41no—
810C4×C61—41no—
811C4×C61—41no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61—41no—
815C4×C61C2×2−1+411yescharacteristic
816C4×C61#58511yescharacteristic
817Dic61—21no—
818Dic61—21no—
819Dic61—21no—
820Dic61—21no—
821Dic61—21no—
822Dic61—21no—
823Dic61—41no—
824Dic61—41no—
825Dic61—41no—
826Dic61—41no—
827Dic61—41no—
828Dic61—41no—
829Dic61#57512yes—
830#3511—611no—
831#3475—611no—
832#3389—611no—
833#3389—611no—
834#3376—611no—
835#3376—611no—
836#3351—611no—
837#3351—611no—
838#3348—611no—
839#3348—611no—
840#3347—611no—
841#3347—611no—
842#3322—611no—
843#3322—611no—
844#3319—611no—
845#3319—611no—
846#3307—611no—
847#3307D6111yescharacteristic, complemented
848#3254—611no—
849#3251—611no—
850#3247—611no—
851#3238—611no—
852#3237—611no—
853#3233—611no—
854#3115—611no—
855#3109—611no—
856#3106—611no—
857#3079—611no—
858#3077—611no—
859#3076—611no—
860#2989—611no—
861C2×C61—42no—
862C2×C61—41no—
863C2×C61—41no—
864C2×C61—81no—
865C2×C61#348911yescharacteristic
866C2×C61C2×#57511yescharacteristic
867C2×C61#358511yescharacteristic
868D61—41no—
869D61—81no—
870D61—81no—
871#556—611no—
872#556—1221no—
873#555—611no—
874#555—611no—
875#555—611no—
876#554—611no—
877#554—611no—
878#554—611no—
879#553—611no—
880#553—611no—
881#553—611no—
882#553—1221no—
883#553C2×D6111yescharacteristic, complemented
884#552—611no—
885#552—611no—
886#552—1221no—
887#551—1221no—
888#551—1221no—
889#548—1221no—
890#548—1221no—
891#547—1221no—
892#547C2×D6111yescharacteristic
893#546—611no—
894#546—611no—
895#542—1221no—
896#542—1221no—
897#537—1221no—
898#533—611no—
899#533—611no—
900#533—611no—
901#532—611no—
902#532—611no—
903#532—611no—
904C2×C4⋊Q8—611no—
905#529—611no—
906#529—611no—
907#529—1221no—
908#529—1221no—
909#525—1221no—
910#520—1221no—
911C4×#41—611no—
912C4×#41—611no—
913C4×#41—611no—
914C2×C4×D4—611no—
915C2×#117—1221no—
916#501—611no—
917#501—611no—
918#501—611no—
919#501—611no—
920#499—611no—
921#499—611no—
922#491—611no—
923#491C2×D6111yescharacteristic, complemented
924#489—611no—
925#489—611no—
926#488—611no—
927#488—611no—
928#485—611no—
929#485—611no—
930#485—611no—
931#485—611no—
932#485—611no—
933#485C2×D6111yescharacteristic, complemented
934#483—611no—
935#483C2×D6111yescharacteristic, complemented
936#482—611no—
937#482—611no—
938#482—611no—
939#482—611no—
940#482—611no—
941#482—611no—
942#481—611no—
943#481—611no—
944#480—611no—
945#480—611no—
946#479—611no—
947#479—611no—
948#478—611no—
949#478—611no—
950#478—611no—
951#478—611no—
952#478—611no—
953#478—611no—
954#478—611no—
955#478—611no—
956#478—611no—
957#478C2×D6111yescharacteristic
958#477—611no—
959#477—611no—
960#477—611no—
961#477—611no—
962#476—611no—
963#476—611no—
964#476—611no—
965#476—611no—
966#475—611no—
967#475—611no—
968#475—611no—
969#475—611no—
970#474—611no—
971#474—611no—
972#474—611no—
973#474—611no—
974#474—611no—
975#474—611no—
976#469—611no—
977#469—611no—
978#468—611no—
979#468—611no—
980#468—611no—
981#468—611no—
982#468—611no—
983#468C2×D6111yescharacteristic, complemented
984#466—611no—
985#466—611no—
986#465—611no—
987#465C2×D6111yescharacteristic, complemented
988#463—611no—
989#463—611no—
990#463—611no—
991#463—611no—
992#461—611no—
993#461C2×D6111yescharacteristic, complemented
994#460—611no—
995#460—611no—
996#459—611no—
997#459—611no—
998#449—611no—
999#449—611no—
1000#449C2×D6111yescharacteristic
1001#449C2×D6111yescharacteristic
1002#447—611no—
1003#447—611no—
1004#446—611no—
1005#446—611no—
1006#442—611no—
1007#442—611no—
1008#442—611no—
1009#442—611no—
1010#442—611no—
1011#442C2×D6111yescharacteristic
1012#440—611no—
1013#440—611no—
1014C4×SD16—611no—
1015C4×SD16—611no—
1016C4×D8—611no—
1017C4×D8—611no—
1018#436—611no—
1019#436—611no—
1020#435—611no—
1021#435—611no—
1022#435—611no—
1023#435C2×D6111yescharacteristic, complemented
1024#432—611no—
1025#432—611no—
1026#431—611no—
1027#428—611no—
1028#428—611no—
1029#428—611no—
1030#428—611no—
1031#427—611no—
1032#427—611no—
1033#423—611no—
1034#423—611no—
1035C2×C4⋊C8—611no—
1036#418—611no—
1037#418—611no—
1038#417—611no—
1039#417C2×D6111yescharacteristic
1040#416—611no—
1041#416C2×D6111yescharacteristic
1042C61#6211511yescharacteristic, complemented, Sylow
1043C2×#41—611no—
1044C2×#41—1221no—
1045C2×#41—1221no—
1046C2×#41—1221no—
1047C2×#41C22×D6111yescharacteristic
1048C2×#41C22×D6111yescharacteristic
1049C22×Q8—1221no—
1050C22×D4—611no—
1051C23×C4—1221no—
1052C2×SD16—611no—
1053C2×SD16—611no—
1054C2×SD16C22×D6111yescharacteristic
1055C2×SD16C22×D6111yescharacteristic
1056C2×D8—611no—
1057C2×D8—611no—
1058C2×D8—611no—
1059C2×D8C22×D6111yescharacteristic
1060C2×M16—611no—
1061C2×M16—611no—
1062C2×M16—611no—
1063C2×M16C22×D6111yescharacteristic
1064C22×C8—611no—
1065C22×C8C22×D6111yescharacteristic
1066C4⋊Q8—611no—
1067C4⋊Q8—611no—
1068C4⋊Q8—611no—
1069C4⋊Q8—611no—
1070C4⋊Q8—611no—
1071C4⋊Q8—611no—
1072C4⋊Q8—1221no—
1073C4⋊Q8—1221no—
1074C4⋊Q8C22×D6111yescharacteristic
1075#127—611no—
1076#126—21no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#126—1221no—
1084#126—1221no—
1085#126—1221no—
1086#125—611no—
1087#125—611no—
1088#125—611no—
1089#125—611no—
1090#125—611no—
1091#125—1221no—
1092#125—1221no—
1093#125—1221no—
1094#125C22×D6111yescharacteristic
1095#124—611no—
1096#124—611no—
1097#124—1221no—
1098#124—1221no—
1099#124—1221no—
1100#124—1221no—
1101#124—1221no—
1102#124—1221no—
1103#124—1221no—
1104#124—1221no—
1105#124—1221no—
1106#123—21no—
1107#123—21no—
1108#123—21no—
1109#123—1221no—
1110#123—1221no—
1111#123—1221no—
1112#123—1221no—
1113#123—1221no—
1114#123—1221no—
1115#123—1221no—
1116#123—1221no—
1117#123—1221no—
1118C22⋊Q8—611no—
1119C22⋊Q8—611no—
1120C22⋊Q8—1221no—
1121C22⋊Q8—1221no—
1122C22⋊Q8—1221no—
1123C22⋊Q8—1221no—
1124C22⋊Q8—1221no—
1125C22⋊Q8—1221no—
1126C22⋊Q8—1221no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8C22×D6111yescharacteristic
1136C22⋊Q8C22×D6111yescharacteristic
1137#121—21no—
1138#121—21no—
1139#121—611no—
1140#121—611no—
1141#121—611no—
1142#121—611no—
1143#121—611no—
1144#121—611no—
1145#121—1221no—
1146#121—1221no—
1147#121—1221no—
1148#121—1221no—
1149#121—1221no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121—1221no—
1154#121—1221no—
1155#121—1221no—
1156#121C22×D6111yescharacteristic
1157#121C22×D6111yescharacteristic
1158#120—1221no—
1159#120—1221no—
1160C4×Q8—611no—
1161C4×Q8—611no—
1162C4×Q8—611no—
1163C4×Q8—611no—
1164C4×Q8—611no—
1165C4×Q8—611no—
1166C4×Q8—1221no—
1167C4×Q8—1221no—
1168C4×Q8—1221no—
1169C4×Q8—1221no—
1170C4×Q8—1221no—
1171C4×D4—21no—
1172C4×D4—611no—
1173C4×D4—611no—
1174C4×D4—611no—
1175C4×D4—611no—
1176C4×D4—611no—
1177C4×D4—611no—
1178C4×D4—611no—
1179C4×D4—611no—
1180C4×D4—611no—
1181C4×D4—611no—
1182C4×D4—611no—
1183C4×D4—611no—
1184C4×D4—611no—
1185C4×D4—611no—
1186C4×D4—611no—
1187C4×D4—1221no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4—1221no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4C22×D6111yescharacteristic
1202C4×D4C22×D6111yescharacteristic
1203C4×D4C22×D6111yescharacteristic
1204#117—611no—
1205#117—611no—
1206#117—611no—
1207#117—611no—
1208#117—611no—
1209#117—611no—
1210#117—611no—
1211#117—611no—
1212#117—1221no—
1213#117—1221no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117—1221no—
1221#117—1221no—
1222#117—1221no—
1223#117C22×D6111yescharacteristic
1224C2×C4⋊C4—21no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—611no—
1227C2×C4⋊C4—1221no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4—1221no—
1231C2×C4⋊C4C22×D6111yescharacteristic
1232C2×C22⋊C4—1221no—
1233C2×C22⋊C4—1221no—
1234C2×C22⋊C4—1221no—
1235C2×C42—611no—
1236C2×C42—611no—
1237C2×C42—611no—
1238C2×C42—1221no—
1239C2×C42—1221no—
1240#107—611no—
1241#107—611no—
1242#107—611no—
1243#107—611no—
1244#107—611no—
1245#107—611no—
1246#107—611no—
1247#107—611no—
1248#107—611no—
1249#107—611no—
1250#107—611no—
1251#107C22×D6111yescharacteristic
1252#106—611no—
1253#106—611no—
1254#106—611no—
1255#106—611no—
1256#106—611no—
1257#106—611no—
1258#106—611no—
1259#106—611no—
1260#106—611no—
1261#106—611no—
1262#106C22×D6111yescharacteristic
1263#106C22×D6111yescharacteristic
1264C4⋊C8—611no—
1265C4⋊C8—611no—
1266C4⋊C8—611no—
1267C4⋊C8—611no—
1268C4⋊C8—611no—
1269C4⋊C8—611no—
1270C4⋊C8—611no—
1271C4⋊C8—611no—
1272C4⋊C8—611no—
1273C4⋊C8C22×D6111yescharacteristic
1274#103—611no—
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#103—611no—
1279#103—611no—
1280#103C22×D6111yescharacteristic
1281#103C22×D6111yescharacteristic
1282#103C22×D6111yescharacteristic
1283#103C22×D6111yescharacteristic
1284#103C22×D6111yescharacteristic
1285#103C22×D6111yescharacteristic
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102—611no—
1293#102—611no—
1294#102—611no—
1295#102—611no—
1296#102—611no—
1297#102—611no—
1298#102—611no—
1299#102—611no—
1300#102—611no—
1301#102—611no—
1302#102C22×D6111yescharacteristic
1303#102C22×D6111yescharacteristic
1304#102C22×D6111yescharacteristic
1305#102C22×D6111yescharacteristic
1306C22⋊C8—611no—
1307C22⋊C8—611no—
1308C22⋊C8—611no—
1309C22⋊C8—611no—
1310C22⋊C8C22×D6111yescharacteristic
1311C22⋊C8C22×D6111yescharacteristic
1312#97—611no—
1313#97—611no—
1314#97—611no—
1315#97C22×D6111yescharacteristic
1316C4×C8—611no—
1317C4×C8—611no—
1318C24—1221no—
1319#41—22no—
1320#41—22no—
1321#41—41no—
1322#41—41no—
1323#41—4882no—
1324#41—4882no—
1325#41—2442no—
1326#41—2444no—
1327C2×Q8—611no—
1328C2×Q8—1221no—
1329C2×Q8—1221no—
1330C2×Q8—1221no—
1331C2×Q8—1221no—
1332C2×Q8—1221no—
1333C2×Q8—1221no—
1334C2×Q8—4882no—
1335C2×Q8C23×D6111yescharacteristic
1336C2×Q8C23×D6111yescharacteristic
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—611no—
1342C2×D4—611no—
1343C2×D4—611no—
1344C2×D4—611no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1222no—
1350C2×D4—1221no—
1351C2×D4—1221no—
1352C2×D4—1221no—
1353C2×D4—1221no—
1354C2×D4—1221no—
1355C2×D4—2441no—
1356C2×D4D4×D6111yescharacteristic
1357C2×D4C23×D6111yescharacteristic
1358C2×D4C23×D6111yescharacteristic
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—611no—
1365C22×C4—611no—
1366C22×C4—611no—
1367C22×C4—611no—
1368C22×C4—611no—
1369C22×C4—611no—
1370C22×C4—611no—
1371C22×C4—1221no—
1372C22×C4—1221no—
1373C22×C4—1221no—
1374C22×C4—1221no—
1375C22×C4—1221no—
1376C22×C4—1221no—
1377C22×C4—1221no—
1378C22×C4—1221no—
1379C22×C4—1221no—
1380C22×C4—1221no—
1381C22×C4—1221no—
1382C22×C4—1221no—
1383C22×C4—2444no—
1384C22×C4C23×D6111yescharacteristic
1385C22×C4C23×D6111yescharacteristic
1386SD16—41no—
1387SD16—41no—
1388SD16—2441no—
1389SD16—2441no—
1390D8—22no—
1391D8—1222no—
1392D8—2441no—
1393D8—2441no—
1394M16—41no—
1395M16—2441no—
1396M16—2441no—
1397M16—2441no—
1398C2×C8—41no—
1399C2×C8—611no—
1400C2×C8—611no—
1401C2×C8—611no—
1402C2×C8—611no—
1403C2×C8—2441no—
1404C2×C8C23×D6111yescharacteristic
1405C2×C8C23×D6111yescharacteristic
1406C2×C8C23×D6111yescharacteristic
1407C2×C8C23×D6111yescharacteristic
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—611no—
1416C4⋊C4—611no—
1417C4⋊C4—611no—
1418C4⋊C4—611no—
1419C4⋊C4—611no—
1420C4⋊C4—611no—
1421C4⋊C4—611no—
1422C4⋊C4—611no—
1423C4⋊C4—611no—
1424C4⋊C4—611no—
1425C4⋊C4—611no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4D4×D6111yescharacteristic
1451C4⋊C4C23×D6111yescharacteristic
1452C4⋊C4C23×D6111yescharacteristic
1453C4⋊C4C23×D6111yescharacteristic
1454C4⋊C4C23×D6111yescharacteristic
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—611no—
1463C22⋊C4—611no—
1464C22⋊C4—611no—
1465C22⋊C4—611no—
1466C22⋊C4—1221no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4—1221no—
1484C22⋊C4—1221no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
1487C22⋊C4—1221no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4D4×D6111yescharacteristic
1494C22⋊C4D4×D6111yescharacteristic
1495C42—21no—
1496C42—611no—
1497C42—611no—
1498C42—611no—
1499C42—611no—
1500C42—611no—
1501C42—611no—
1502C42—611no—
1503C42—611no—
1504C42—611no—
1505C42—1221no—
1506C42—1221no—
1507C42—1221no—
1508C42—1221no—
1509C42—1221no—
1510C42—1221no—
1511C42—1221no—
1512C42—1221no—
1513C42—1221no—
1514C42C23×D6111yescharacteristic
1515C23—21no—
1516C23—21no—
1517C23—611no—
1518C23—1221no—
1519C23—1221no—
1520C23—4881no—
1521C23—2442no—
1522C23—2442no—
1523C23C2×D4×D6111yescharacteristic
1524C23C2×D4×D6111yescharacteristic
1525Q8—21no—
1526Q8—21no—
1527Q8—21no—
1528Q8—21no—
1529Q8—4881no—
1530Q8—4881no—
1531Q8—4881no—
1532Q8—2441no—
1533Q8—2442no—
1534Q8—2442no—
1535Q8—2442no—
1536D4—21no—
1537D4—21no—
1538D4—21no—
1539D4—41no—
1540D4—42no—
1541D4—42no—
1542D4—42no—
1543D4—81no—
1544D4—1221no—
1545D4—1221no—
1546D4—1221no—
1547D4—1221no—
1548D4—4881no—
1549D4—4881no—
1550D4—4881no—
1551D4—4881no—
1552D4—4881no—
1553D4—2442no—
1554D4—2441no—
1555D4—2441no—
1556D4—2442no—
1557D4—2442no—
1558D4—2442no—
1559D4#1451982412yes—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—42no—
1571C2×C4—42no—
1572C2×C4—42no—
1573C2×C4—81no—
1574C2×C4—81no—
1575C2×C4—611no—
1576C2×C4—611no—
1577C2×C4—611no—
1578C2×C4—611no—
1579C2×C4—611no—
1580C2×C4—611no—
1581C2×C4—611no—
1582C2×C4—1222no—
1583C2×C4—1222no—
1584C2×C4—1222no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—1221no—
1590C2×C4—1221no—
1591C2×C4—1221no—
1592C2×C4—1221no—
1593C2×C4—4881no—
1594C2×C4—4881no—
1595C2×C4—4881no—
1596C2×C4—4881no—
1597C2×C4—4881no—
1598C2×C4—4881no—
1599C2×C4—2441no—
1600C2×C4—2442no—
1601C2×C4—2442no—
1602C2×C4—2442no—
1603C2×C4—2442no—
1604C2×C4—2442no—
1605C2×C4—2441no—
1606C2×C4—2441no—
1607C2×C4—2442no—
1608C2×C4C2×D4×D6111yescharacteristic
1609C2×C4C2×D4×D6111yescharacteristic
1610C2×C4C2×D4×D6111yescharacteristic
1611C2×C4C2×D4×D6111yescharacteristic
1612C2×C4C24×D6111yescharacteristic
1613C8—21no—
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—1221no—
1618C8—1221no—
1619C8—1221no—
1620C8—1221no—
1621C22—21no—
1622C22—21no—
1623C22—22no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—1221no—
1634C22—1221no—
1635C22—1221no—
1636C22—4884no—
1637C22—2441no—
1638C22—2441no—
1639C22—2441no—
1640C22—2441no—
1641C22—2441no—
1642C22—2441no—
1643C22C22×D4×D6111yescharacteristic
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—21no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—612no—
1655C4—1221no—
1656C4—1221no—
1657C4—1221no—
1658C4—1221no—
1659C4—1221no—
1660C4—1221no—
1661C4—2441no—
1662C4—2441no—
1663C4—2441no—
1664C4—2441no—
1665C4—2441no—
1666C4—2441no—
1667C4C2×#1451982411yescharacteristic
1668C4#1684059711yescharacteristic
1669C2—41no—
1670C2—41no—
1671C2—42no—
1672C2—81no—
1673C2—4881no—
1674C2—4881no—
1675C2—2441no—
1676C2#2145949011yescharacteristic
1677C2#575×D6111yescharacteristic
1678C2#2146059711yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3307C2
socleC22×C61C23×D4
hypercenter#3307D61
hypocenterC61#62115
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3307

Complements

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

NH ≅ G/Ntype
1. #21459721C2semidirect
2. #21459382C2semidirect
3. #21458778C2semidirect
4. #21458776C2semidirect
5. #21458641C2semidirect
6. #21458639C2semidirect
7. #21458382C2semidirect
8. #21458374C2semidirect
9. #21458340C2semidirect
10. #21458338C2semidirect
11. #21458321C2semidirect
12. #21458313C2semidirect
13. #21458021C2semidirect
14. #21458013C2semidirect
15. #21457979C2semidirect
16. #21457971C2semidirect
17. #21457795C2semidirect
18. #21457203C2semidirect
19. #21457176C2semidirect
20. #21457140C2semidirect
21. #21457043C2semidirect
22. #21457028C2semidirect
23. #21457001C2semidirect
24. #21455963C2semidirect
25. #21455908C2semidirect
26. #21455872C2semidirect
27. #21455630C2semidirect
28. #21455614C2semidirect
29. #21455603C2semidirect
30. #21454931C2semidirect
31. C61×#3307C2semidirect
37. #16840471C22semidirect
39. #16840468C22semidirect
43. #16840458C22semidirect
59. #16840315C22semidirect
61. #16840307C22semidirect
62. #16840307C22semidirect
63. C2×#14519776C22semidirect
75. #16840172C22semidirect
76. #16840171C22semidirect
77. #16840169C22semidirect
78. #16840169C22semidirect
79. #16840163C22semidirect
80. #16840162C22semidirect
81. #16840130C22semidirect
90. #16840100C22semidirect
91. #16840090C22semidirect
93. #16840087C22semidirect
94. #16840087C22semidirect
96. #16840083C22semidirect
97. #16840083C22semidirect
102. #16840071C22semidirect
103. #16840067C22semidirect
104. #16840065C22semidirect
106. #16840064C22semidirect
109. #16840061C22semidirect
111. #16840060C22semidirect
113. #16840055C22semidirect
114. #16840055C22semidirect
115. #16840055C22semidirect
116. #16840055C22semidirect
121. #16840045C22semidirect
122. #16840045C22semidirect
123. #16840045C22semidirect
124. #16840045C22semidirect
125. #16840043C22semidirect
126. #16840042C22semidirect
135. #16840010C22semidirect
140. #16839993C22semidirect
145. #16839964C22semidirect
146. #16839960C22semidirect
147. #16839960C22semidirect
154. #16839891C22semidirect
155. #16839890C22semidirect
161. #16839865C22semidirect
162. #16839863C22semidirect
163. SD16×Dic61C22semidirect
164. #16839847C22semidirect
169. #16839834C22semidirect
173. #16839816C22semidirect
174. #16839812C22semidirect
175. #16839804C22semidirect
177. #16839802C22semidirect
179. #16839800C22semidirect
180. #16839798C22semidirect
181. #16839785C22semidirect
183. C2×#14519706C22semidirect
188. C61×#553C22semidirect
190. C61×#491C22semidirect
191. C61×#485C22semidirect
192. C61×#483C22semidirect
194. C61×#468C22semidirect
195. C61×#465C22semidirect
196. C61×#461C22semidirect
200. C61×#435C22semidirect
847. #3307D61semidirect
883. #553C2×D61semidirect
923. #491C2×D61semidirect
933. #485C2×D61semidirect
935. #483C2×D61semidirect
983. #468C2×D61semidirect
987. #465C2×D61semidirect
993. #461C2×D61semidirect
1023. #435C2×D61semidirect
1042. C61#62115semidirect

Maximal subgroups

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

subgroupindex
#214597212
#214593822
#214587782
#214587762
#214586412
#214586392
#214583822
#214583742
#214583402
#214583382
#214583212
#214583132
#214580212
#214580132
#214579792
#214579712
#214577952
#214572032
#214571762
#214571402
#214570432
#214570282
#214570012
#214559632
#214559082
#214558722
#214556302
#214556142
#214556032
#214549312
C61×#33072
#6211561