Finite Group Databasebeta

← #30576213

Subgroups — #30576213

Order 15616.

1758 conjugacy classes of subgroups.

The subgroup lattice has 1662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459727C211yesmaximal, characteristic, complemented
2#21459438C211yesmaximal, characteristic, complemented
3#21458766C211yesmaximal, characteristic, complemented
4#21458764C211yesmaximal, characteristic, complemented
5#21458640C211yesmaximal, characteristic, complemented
6#21458341C211yesmaximal, characteristic, complemented
7#21458339C211yesmaximal, characteristic, complemented
8#21458294C211yesmaximal, characteristic, complemented
9#21458286C211yesmaximal, characteristic, complemented
10#21458203C211yesmaximal, characteristic, complemented
11#21458195C211yesmaximal, characteristic, complemented
12#21458012C211yesmaximal, characteristic, complemented
13#21458004C211yesmaximal, characteristic, complemented
14#21457997C211yesmaximal, characteristic, complemented
15#21457989C211yesmaximal, characteristic, complemented
16#21457728C211yesmaximal, characteristic, complemented
17#21457720C211yesmaximal, characteristic, complemented
18#21457178C211yesmaximal, characteristic, complemented
19#21457142C211yesmaximal, characteristic, complemented
20#21457132C211yesmaximal, characteristic, complemented
21#21457045C211yesmaximal, characteristic, complemented
22#21457028C211yesmaximal, characteristic, complemented
23#21456993C211yesmaximal, characteristic, complemented
24#21455966C211yesmaximal, characteristic, complemented
25#21455939C211yesmaximal, characteristic, complemented
26#21455848C211yesmaximal, characteristic, complemented
27#21455622C211yesmaximal, characteristic, complemented
28#21455604C211yesmaximal, characteristic, complemented
29#475×D61C211yesmaximal, characteristic, complemented
30#21454943C211yesmaximal, characteristic, complemented
31C61×#3376C211yesmaximal, characteristic, complemented
32#16840490C2211yescharacteristic
33#16840483—21no—
34#16840480—21no—
35#16840478C2211yescharacteristic
36#16840477C2211yescharacteristic
37#16840472C2211yescharacteristic
38#16840465C2211yescharacteristic
39#16840465C2211yescharacteristic
40#16840462C2211yescharacteristic
41#16840462C2211yescharacteristic
42#16840453C2211yescharacteristic
43#16840453C2211yescharacteristic
44#16840448—21no—
45#16840448—21no—
46#16840427C2211yescharacteristic
47#16840422—21no—
48#16840422—21no—
49#16840420C2211yescharacteristic
50#16840420C2211yescharacteristic
51#16840417C2211yescharacteristic
52#16840414—21no—
53#16840413—21no—
54#16840382—21no—
55#16840382—21no—
56#16840342—21no—
57#16840318C2211yescharacteristic
58#16840318C2211yescharacteristic
59#16840317C2211yescharacteristic
60#16840314—21no—
61#16840309C2211yescharacteristic
62#16840309C2211yescharacteristic
63#16840309C2211yescharacteristic
64C4⋊Q8×D61C2211yescharacteristic
65#16840295—21no—
66#16840295—21no—
67#16840291C2211yescharacteristic
68#16840291C2211yescharacteristic
69#16840243—21no—
70C4×#11758226C2211yescharacteristic
71#16840230—21no—
72C4×#11758224C2211yescharacteristic
73C4×Q8×D61C2211yescharacteristic
74C4×Q8×D61C2211yescharacteristic
75#16840172C2211yescharacteristic
76#16840171C2211yescharacteristic
77#16840171C2211yescharacteristic
78#16840168C2211yescharacteristic
79#16840164C2211yescharacteristic
80#16840161C2211yescharacteristic
81#16840130C2211yescharacteristic
82#16840121C2211yescharacteristic
83#16840116C2211yescharacteristic
84#16840102C2211yescharacteristic
85#16840102C2211yescharacteristic
86#16840102C2211yescharacteristic
87#16840101C2211yescharacteristic
88#16840101C2211yescharacteristic
89#16840101C2211yescharacteristic
90#16840096C2211yescharacteristic
91#16840096C2211yescharacteristic
92#16840088C2211yescharacteristic
93#16840085C2211yescharacteristic
94#16840084C2211yescharacteristic
95#16840084C2211yescharacteristic
96#16840082C2211yescharacteristic
97#16840079C2211yescharacteristic
98#16840079C2211yescharacteristic
99#16840079C2211yescharacteristic
100#16840077C2211yescharacteristic
101#16840074C2211yescharacteristic
102#16840070C2211yescharacteristic
103#16840070C2211yescharacteristic
104#16840069C2211yescharacteristic
105#16840066C2211yescharacteristic
106#16840066C2211yescharacteristic
107#16840063C2211yescharacteristic
108#16840063C2211yescharacteristic
109#16840062C2211yescharacteristic
110#16840062C2211yescharacteristic
111#16840062C2211yescharacteristic
112#16840056C2211yescharacteristic
113#16840055C2211yescharacteristic
114#16840055C2211yescharacteristic
115#16840053C2211yescharacteristic
116#16840052C2211yescharacteristic
117#16840050C2211yescharacteristic
118#16840048C2211yescharacteristic
119#16840047C2211yescharacteristic
120#16840046C2211yescharacteristic
121#16840046C2211yescharacteristic
122#16840045C2211yescharacteristic
123#16840045C2211yescharacteristic
124#16840045C2211yescharacteristic
125#16840045C2211yescharacteristic
126#16840044C2211yescharacteristic
127#16840040C2211yescharacteristic
128#16840040C2211yescharacteristic
129#16840014C2211yescharacteristic
130#16840012C2211yescharacteristic
131#16840011C2211yescharacteristic
132#16840005C2211yescharacteristic
133#16839997C2211yescharacteristic
134#16839995C2211yescharacteristic
135#16839994C2211yescharacteristic
136#16839994C2211yescharacteristic
137#16839994C2211yescharacteristic
138#16839988C2211yescharacteristic
139#16839988C2211yescharacteristic
140#16839988C2211yescharacteristic
141#16839974C2211yescharacteristic
142#16839974C2211yescharacteristic
143#16839964C2211yescharacteristic
144#16839961C2211yescharacteristic
145#16839960C2211yescharacteristic
146#16839960C2211yescharacteristic
147#16839955C2211yescharacteristic
148#16839908C2211yescharacteristic
149#16839904C2211yescharacteristic
150#16839902C2211yescharacteristic
151#16839902C2211yescharacteristic
152#16839899C2211yescharacteristic
153#16839899C2211yescharacteristic
154#16839893C2211yescharacteristic
155#16839872C2211yescharacteristic
156#16839864C2211yescharacteristic
157#16839864C2211yescharacteristic
158#16839862C2211yescharacteristic
159#16839862C2211yescharacteristic
160#16839860C2211yescharacteristic
161C4×#11758190C2211yescharacteristic
162C4×#11758201C2211yescharacteristic
163C4×#11758200C2211yescharacteristic
164#16839835C2211yescharacteristic
165#16839835C2211yescharacteristic
166#16839832C2211yescharacteristic
167#16839832C2211yescharacteristic
168C8×D244C2211yescharacteristic
169#16839827C2211yescharacteristic
170#16839817C2211yescharacteristic
171#16839817C2211yescharacteristic
172#16839813C2211yescharacteristic
173#16839803C2211yescharacteristic
174#16839801C2211yescharacteristic
175#16839799C2211yescharacteristic
176#16839797C2211yescharacteristic
177#106×D61C2211yescharacteristic
178#106×D61C2211yescharacteristic
179#16839784C2211yescharacteristic
180C4⋊C8×D61C2211yescharacteristic
181C4⋊C8×D61C2211yescharacteristic
182#16839769C2211yescharacteristic
183#16839769C2211yescharacteristic
184#16839755C2211yescharacteristic
185#16839755C2211yescharacteristic
186#103×D61C2211yescharacteristic
187#103×D61C2211yescharacteristic
188C61×#556C2211yescharacteristic
189C61×#554C2211yescharacteristic
190C61×#491C2211yescharacteristic
191C61×#489C2211yescharacteristic
192C61×#488C2211yescharacteristic
193C61×#479C2211yescharacteristic
194C61×#478C2211yescharacteristic
195C61×#475C2211yescharacteristic
196C61×#463C2211yescharacteristic
197C61×#463C2211yescharacteristic
198C61×#461C2211yescharacteristic
199C61×#446C2211yescharacteristic
200C61×#442C2211yescharacteristic
201C61×#440C2211yescharacteristic
202C4×SD16×C61C2211yescharacteristic
203C2×#11758226D411yescharacteristic
204C2×#11758222—21no—
205C2×#11758222—21no—
206C2×#11758222—21no—
207C2×#11758222—21no—
208C2×#11758224C2311yescharacteristic
209C2×Q8×D61—21no—
210C2×Q8×D61C2311yescharacteristic
211C2×Q8×D61C2311yescharacteristic
212C2×#11758190C2311yescharacteristic
213C2×#11758200C2311yescharacteristic
214C2×#11758201C2311yescharacteristic
215C2×#11758201C2311yescharacteristic
216C2×#11758199C2311yescharacteristic
217C2×#11758189C2311yescharacteristic
218C2×#11758189C2311yescharacteristic
219C2×C8×D61C2311yescharacteristic
220C2×C8×D61C2311yescharacteristic
221C2×C8×D61C2311yescharacteristic
222C2×C8×D61C2311yescharacteristic
223#14519777C2311yescharacteristic
224#14519777C2311yescharacteristic
225#14519776—21no—
226#14519776—21no—
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519776C2311yescharacteristic
230#14519775—21no—
231#14519775—21no—
232#14519773C2311yescharacteristic
233#14519772—21no—
234#14519772—21no—
235#14519771—21no—
236#14519771—21no—
237#14519770—21no—
238#14519770—21no—
239#14519770—21no—
240#14519770—21no—
241#14519769C2311yescharacteristic
242#14519769C2311yescharacteristic
243#14519769C2311yescharacteristic
244#14519769C2311yescharacteristic
245#14519768—21no—
246#14519767—21no—
247#14519767—21no—
248#14519767—21no—
249#14519767—21no—
250#14519766—21no—
251#14519766—21no—
252#14519763—21no—
253#14519763—21no—
254#14519763—21no—
255#14519763—21no—
256#14519763—21no—
257#14519763—21no—
258#14519763—21no—
259#14519762—21no—
260#14519762—21no—
261#14519762—21no—
262#14519762—21no—
263#14519760—21no—
264#14519760—21no—
265#14519759—21no—
266#14519759—21no—
267#14519759—21no—
268#14519759—21no—
269#14519757—21no—
270#14519756—21no—
271#14519755—21no—
272#14519755—21no—
273#14519755—21no—
274#14519755—21no—
275#14519755—21no—
276#14519755—21no—
277#14519755—21no—
278#14519755—21no—
279#14519754—21no—
280#14519754—21no—
281#14519753—21no—
282#14519753C2311yescharacteristic
283#14519753C2311yescharacteristic
284#14519753C2311yescharacteristic
285#14519753C2311yescharacteristic
286#14519752—21no—
287#14519752—21no—
288#14519752—21no—
289#14519752C2311yescharacteristic
290#14519752C2311yescharacteristic
291#14519752C2311yescharacteristic
292#14519751—21no—
293#14519750—21no—
294#14519750—21no—
295#14519750—21no—
296#14519750—21no—
297#14519750—21no—
298#14519750—21no—
299#14519750—21no—
300#14519748C2311yescharacteristic
301#14519748C2311yescharacteristic
302#14519748C2311yescharacteristic
303#14519748C2311yescharacteristic
304#14519748C2311yescharacteristic
305Q8×Dic61D411yescharacteristic
306Q8×Dic61C2311yescharacteristic
307Q8×Dic61C2311yescharacteristic
308C4×Dic122—21no—
309C4×Dic122—21no—
310C4×Dic122C2311yescharacteristic
311C4×Dic122C2311yescharacteristic
312C4×Dic122C2311yescharacteristic
313#14519742—21no—
314#14519742—21no—
315#14519742—21no—
316#14519742—21no—
317#14519742—21no—
318#14519742—21no—
319#14519742—21no—
320#14519742—21no—
321#14519742C2311yescharacteristic
322C4×D244C2311yescharacteristic
323C4×D244C2311yescharacteristic
324C4×D244C2311yescharacteristic
325C4×D244C2311yescharacteristic
326C4×D244C2311yescharacteristic
327C4×D244C2311yescharacteristic
328D4×Dic61C2311yescharacteristic
329#14519739—21no—
330#14519739—21no—
331#14519739—21no—
332#14519739D411yescharacteristic
333#14519739D411yescharacteristic
334#14519739D411yescharacteristic
335C4×C22⋊D61—21no—
336C4×C22⋊D61—21no—
337C4×C22⋊D61—21no—
338C4×C22⋊D61—21no—
339C4×C22⋊D61—21no—
340C4×C22⋊D61—21no—
341#14519737—21no—
342#14519737—21no—
343#14519737—21no—
344#14519737—21no—
345#14519737—21no—
346#14519736—21no—
347#14519735—21no—
348#14519735—21no—
349#14519735D411yescharacteristic
350#14519735D411yescharacteristic
351#14519735D411yescharacteristic
352#14519735C2311yescharacteristic
353#14519735C2311yescharacteristic
354#14519735C2311yescharacteristic
355#14519735C2311yescharacteristic
356#14519735C2311yescharacteristic
357#14519734—21no—
358#14519734—21no—
359#14519733—21no—
360#14519733—21no—
361#14519733—21no—
362C4⋊C4×D61—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61C2311yescharacteristic
367C4⋊C4×D61C2311yescharacteristic
368C4⋊C4×D61C2311yescharacteristic
369C4⋊C4×D61C2311yescharacteristic
370C2×C4×Dic61—21no—
371C42×D61—21no—
372C42×D61—21no—
373C42×D61C2311yescharacteristic
374C42×D61C2311yescharacteristic
375C42×D61C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519711C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519709C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395#14519708C2311yescharacteristic
396#14519708C2311yescharacteristic
397C4⋊#92418C2311yescharacteristic
398C4⋊#92418C2311yescharacteristic
399C4⋊#92418C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519688C2311yescharacteristic
433#14519688C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C2×SD16×C61C2311yescharacteristic
436C2×SD16×C61C2311yescharacteristic
437C2×D8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439C4⋊Q8×C61C2311yescharacteristic
440#126×C61—21no—
441#126×C61—21no—
442#125×C61C2311yescharacteristic
443#125×C61C2311yescharacteristic
444#124×C61C2311yescharacteristic
445#124×C61C2311yescharacteristic
446C22⋊Q8×C61—21no—
447C22⋊Q8×C61—21no—
448C22⋊Q8×C61—21no—
449C22⋊Q8×C61—21no—
450C4×Q8×C61C2311yescharacteristic
451C4×Q8×C61C2311yescharacteristic
452C4×Q8×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457#117×C61—21no—
458C2×C4⋊C4×C61—21no—
459#107×C61C2311yescharacteristic
460#106×C61C2311yescharacteristic
461#106×C61C2311yescharacteristic
462C4⋊C8×C61C2311yescharacteristic
463C4⋊C8×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
475#97×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C2×Q8×C61—21no—
479C2×Q8×C61C2×D411yescharacteristic
480C2×Q8×C61C2411yescharacteristic
481C2×Q8×C61C2411yescharacteristic
482C2×D4×C61C2411yescharacteristic
483C2×D4×C61C2411yescharacteristic
484C22×C4×C61—21no—
485C22×C4×C61—21no—
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C2×C22⋊D61—21no—
489C2×C22⋊D61—21no—
490C2×C22⋊D61—21no—
491C2×C22⋊D61—21no—
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C22×Dic61—21no—
497C22×Dic61—21no—
498#11758226—42no—
499Q8×D61—22no—
500Q8×D61—22no—
501Q8×D61—41no—
502Q8×D61—41no—
503Q8×D61—82no—
504#11758224—22no—
505#11758224—41no—
506#11758222—44no—
507#11758222—44no—
508#11758222—82no—
509#11758222—82no—
510C2×D244—21no—
511C2×D244—21no—
512C2×D244—21no—
513C2×D244C2×D411yescharacteristic
514C2×D244C2×D411yescharacteristic
515C2×D244C2×D411yescharacteristic
516C2×D244C2411yescharacteristic
517C2×C4×D61—21no—
518C2×C4×D61—21no—
519C2×C4×D61—21no—
520C2×C4×D61—21no—
521C2×C4×D61—21no—
522C2×C4×D61—21no—
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61C2×D411yescharacteristic
527C2×C4×D61C2×D411yescharacteristic
528C2×C4×D61C2×D411yescharacteristic
529C2×C4×D61C2×D411yescharacteristic
530C2×C4×D61C2×D411yescharacteristic
531C2×C4×D61C2×D411yescharacteristic
532C2×C4×D61C2411yescharacteristic
533C2×C4×D61C2411yescharacteristic
534C2×C4×D61C2411yescharacteristic
535C2×Dic122—21no—
536C2×Dic122—21no—
537C2×Dic122—21no—
538C2×Dic122—21no—
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122C2411yescharacteristic
543SD16×C61—41no—
544SD16×C61—41no—
545D8×C61—41no—
546C2×C8×C61C2411yescharacteristic
547C2×C8×C61C2411yescharacteristic
548C2×C8×C61C2411yescharacteristic
549C2×C8×C61C2411yescharacteristic
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61C2×D411yescharacteristic
560C4⋊C4×C61C2×D411yescharacteristic
561C4⋊C4×C61C2×D411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C22⋊C4×C61—21no—
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—
574C42×C61—21no—
575C42×C61—21no—
576C42×C61C2411yescharacteristic
577C42×C61C2411yescharacteristic
578C42×C61C2411yescharacteristic
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585#11758201—41no—
586#11758201—41no—
587#11758200—22no—
588#11758199—41no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
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#11758198C2×D411yescharacteristic
605#11758198C2×D411yescharacteristic
606#11758198C2×D411yescharacteristic
607#11758198C2×D411yescharacteristic
608#11758198C2×D411yescharacteristic
609#11758198C2×D411yescharacteristic
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61C2×D411yescharacteristic
615C4⋊Dic61C2×D411yescharacteristic
616C4⋊Dic61C2×D411yescharacteristic
617C4⋊Dic61C2411yescharacteristic
618C4⋊Dic61C2411yescharacteristic
619C4⋊Dic61C2411yescharacteristic
620C4⋊Dic61C2411yescharacteristic
621C4⋊Dic61C2411yescharacteristic
622C4⋊Dic61C2411yescharacteristic
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
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#11758196—21no—
645#11758196—21no—
646C4×Dic61—21no—
647C4×Dic61—21no—
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
664C2×#92418C2411yescharacteristic
665C2×#92418C2411yescharacteristic
666C2×#92418C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668#11758190—22no—
669#11758189—41no—
670#11758189—41no—
671C8×D61—41no—
672C8×D61—41no—
673C8×D61—41no—
674C8×D61—41no—
675C23×C61—21no—
676C23×C61—21no—
677C22×D61—21no—
678C22×D61C22×D411yescharacteristic
679C22×D61C22×D411yescharacteristic
680C22×D61C22×D411yescharacteristic
681Q8×C61—21no—
682Q8×C61—21no—
683Q8×C61—21no—
684Q8×C61—21no—
685Q8×C61—41no—
686Q8×C61—81no—
687D4×C61—21no—
688D4×C61—21no—
689D4×C61—21no—
690D4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—42no—
698C2×C4×C61—42no—
699C2×C4×C61—81no—
700C2×C4×C61—81no—
701C2×C4×C61C22×D411yescharacteristic
702C2×C4×C61C22×D411yescharacteristic
703C2×C4×C61C22×D411yescharacteristic
704C2×C4×C61C22×D411yescharacteristic
705C2×C4×C61C22×D411yescharacteristic
706C2×C4×C61C22×D411yescharacteristic
707C2×C4×C61C2511yescharacteristic
708C22⋊D61—42no—
709C22⋊D61—42no—
710C22⋊D61—42no—
711C22⋊D61—42no—
712C22⋊D61—42no—
713C22⋊D61—42no—
714C22⋊D61—81no—
715C22⋊D61—81no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—42no—
724C2×Dic61—42no—
725C2×Dic61C22×D411yescharacteristic
726C2×Dic61C22×D411yescharacteristic
727C2×Dic61C22×D411yescharacteristic
728C2×Dic61C22×D411yescharacteristic
729C2×Dic61C22×D411yescharacteristic
730D244—22no—
731D244—22no—
732D244—21no—
733D244—21no—
734D244—41no—
735D244—42no—
736D244—81no—
737D244—81no—
738C4×D61—22no—
739C4×D61—21no—
740C4×D61—21no—
741C4×D61—21no—
742C4×D61—21no—
743C4×D61—21no—
744C4×D61—21no—
745C4×D61—22no—
746C4×D61—22no—
747C4×D61—22no—
748C4×D61—41no—
749C4×D61—41no—
750C4×D61—42no—
751C4×D61—42no—
752C4×D61—42no—
753C4×D61—42no—
754C4×D61—42no—
755C4×D61—81no—
756C4×D61—81no—
757C4×D61—81no—
758C4×D61—81no—
759Dic122—21no—
760Dic122—42no—
761Dic122—42no—
762Dic122—42no—
763Dic122—42no—
764Dic122—42no—
765Dic122—42no—
766Dic122—81no—
767Dic1222−1+412yes—
768C8×C61—21no—
769C8×C61—21no—
770C8×C61—21no—
771C8×C61—21no—
772#92418—21no—
773#92418—21no—
774#92418—21no—
775#92418—21no—
776#62129—611nomaximal, Sylow
777C22×C61—41no—
778C22×C61—41no—
779C22×C61—41no—
780C22×C61—41no—
781C22×C61—41no—
782C22×C61—41no—
783C22×C61C23×D411yescharacteristic
784C2×D61—21no—
785C2×D61—21no—
786C2×D61—21no—
787C2×D61—21no—
788C2×D61—21no—
789C2×D61—21no—
790C2×D61—21no—
791C2×D61—21no—
792C2×D61—41no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61#57512yes—
796C4×C61—21no—
797C4×C61—21no—
798C4×C61—21no—
799C4×C61—21no—
800C4×C61—21no—
801C4×C61—21no—
802C4×C61—41no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61—41no—
808C4×C61C2×2−1+411yescharacteristic
809C4×C61#58511yescharacteristic
810Dic61—22no—
811Dic61—21no—
812Dic61—21no—
813Dic61—21no—
814Dic61—21no—
815Dic61—41no—
816Dic61—41no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61#57712yes—
822#3511—611no—
823#3482—611no—
824#3388—611no—
825#3388—611no—
826#3376—611no—
827#3376D6111yescharacteristic, complemented
828#3348—611no—
829#3348—611no—
830#3345—611no—
831#3345—611no—
832#3337—611no—
833#3337—611no—
834#3321—611no—
835#3321—611no—
836#3320—611no—
837#3320—611no—
838#3301—611no—
839#3301—611no—
840#3251—611no—
841#3247—611no—
842#3246—611no—
843#3239—611no—
844#3237—611no—
845#3233—611no—
846#3115—611no—
847#3112—611no—
848#3103—611no—
849#3078—611no—
850#3076—611no—
851C2×#475—611no—
852#2990—611no—
853C2×C61—81no—
854C2×C61—81no—
855C2×C61#348911yescharacteristic
856C2×C61C2×#57511yescharacteristic
857C2×C61C2×#57711yescharacteristic
858D61—22no—
859D61—41no—
860D61—41no—
861D61—81no—
862#557—611no—
863#556—1221no—
864#556—1221no—
865#556C2×D6111yescharacteristic
866#555—611no—
867#555—611no—
868#554—611no—
869#554C2×D6111yescharacteristic
870#553—611no—
871#553—611no—
872#553—611no—
873#553—611no—
874#552—611no—
875#552—611no—
876#552—1221no—
877#552—1221no—
878D4×Q8—611no—
879#548—611no—
880#548—611no—
881#548—1221no—
882#548—1221no—
883#547—611no—
884#547—1221no—
885#547—1221no—
886#542—1221no—
887#542—1221no—
888#537—1221no—
889#533—611no—
890#533—611no—
891#533—611no—
892#533—1221no—
893#532—611no—
894#532—611no—
895#532—611no—
896C2×C4⋊Q8—611no—
897#529—611no—
898#529—611no—
899#529—1221no—
900#529—1221no—
901#520—1221no—
902C4×#41—611no—
903C4×#41—611no—
904C4×#41—1221no—
905C2×C4×Q8—611no—
906C2×C4×Q8—611no—
907#501—611no—
908#501—611no—
909#501—611no—
910#501—611no—
911#499—611no—
912#499—611no—
913#491—611no—
914#491C2×D6111yescharacteristic
915#489—611no—
916#489C2×D6111yescharacteristic
917#488—611no—
918#488C2×D6111yescharacteristic
919#485—611no—
920#485—611no—
921#485—611no—
922#485—611no—
923#485—611no—
924#485—611no—
925#484—611no—
926#484—611no—
927#482—611no—
928#482—611no—
929#482—611no—
930#482—611no—
931#481—611no—
932#481—611no—
933#481—611no—
934#481—611no—
935#480—611no—
936#480—611no—
937#479—611no—
938#479—611no—
939#479—611no—
940#479—611no—
941#479—611no—
942#479C2×D6111yescharacteristic
943#478—611no—
944#478—611no—
945#478—611no—
946#478—611no—
947#478—611no—
948#478C2×D6111yescharacteristic
949#477—611no—
950#477—611no—
951#477—611no—
952#476—611no—
953#476—611no—
954#476—611no—
955#475—611no—
956#475—611no—
957#475—611no—
958#475—611no—
959#475—611no—
960#475—611no—
961#475—611no—
962#475—611no—
963#475—611no—
964#475C2×D6111yescharacteristic
965#474—611no—
966#474—611no—
967#469—611no—
968#469—611no—
969#468—611no—
970#468—611no—
971#466—611no—
972#466—611no—
973#465—611no—
974#465—611no—
975#465—611no—
976#465—611no—
977#465—611no—
978#465—611no—
979#463—611no—
980#463—611no—
981#463C2×D6111yescharacteristic
982#463C2×D6111yescharacteristic
983#461—611no—
984#461C2×D6111yescharacteristic
985#460—611no—
986#460—611no—
987#460—611no—
988#459—611no—
989#449—611no—
990#449—611no—
991#448—611no—
992#448—611no—
993#448—611no—
994#448—611no—
995#446—611no—
996#446C2×D6111yescharacteristic
997#442—611no—
998#442C2×D6111yescharacteristic
999#440—611no—
1000#440—611no—
1001#440—611no—
1002#440—611no—
1003#440—611no—
1004#440C2×D6111yescharacteristic
1005C4×SD16—611no—
1006C4×SD16—611no—
1007C4×SD16—611no—
1008C4×SD16C2×D6111yescharacteristic
1009#435—611no—
1010#435—611no—
1011#435—611no—
1012#435—611no—
1013C8×D4—611no—
1014C8×D4—611no—
1015#432—611no—
1016#432—611no—
1017#431—611no—
1018#428—611no—
1019#428—611no—
1020#427—611no—
1021#427—611no—
1022C2×#106—611no—
1023C2×#106—611no—
1024#423—611no—
1025C2×C4⋊C8—611no—
1026C2×C4⋊C8—611no—
1027#419—611no—
1028#419—611no—
1029#416—611no—
1030#416—611no—
1031C2×#103—611no—
1032C2×#103—611no—
1033C61#6212911yescharacteristic, complemented, Sylow
1034C2×#41—611no—
1035C2×#41—611no—
1036C2×#41—1221no—
1037C2×#41—1221no—
1038C2×#41—1221no—
1039C2×#41—1221no—
1040C22×Q8—611no—
1041C22×Q8—611no—
1042C22×Q8—1221no—
1043C2×SD16—611no—
1044C2×SD16—611no—
1045C2×SD16—611no—
1046C2×SD16—611no—
1047C2×SD16C22×D6111yescharacteristic
1048C2×SD16C22×D6111yescharacteristic
1049C2×D8—611no—
1050C2×D8C22×D6111yescharacteristic
1051C2×M16—611no—
1052C2×M16—611no—
1053C22×C8—611no—
1054C22×C8—611no—
1055C22×C8—611no—
1056C22×C8—611no—
1057C4⋊Q8—611no—
1058C4⋊Q8—611no—
1059C4⋊Q8—611no—
1060C4⋊Q8—611no—
1061C4⋊Q8—611no—
1062C4⋊Q8—1221no—
1063C4⋊Q8—1221no—
1064C4⋊Q8—1221no—
1065C4⋊Q8—1221no—
1066C4⋊Q8C22×D6111yescharacteristic
1067C4⋊Q8C22×D6111yescharacteristic
1068#127—611no—
1069#126—21no—
1070#126—21no—
1071#126—1221no—
1072#126—1221no—
1073#126—1221no—
1074#126—1221no—
1075#126—1221no—
1076#126—1221no—
1077#126—1221no—
1078#126—1221no—
1079#125—611no—
1080#125—611no—
1081#125—611no—
1082#125—611no—
1083#125—1221no—
1084#125—1221no—
1085#125—1221no—
1086#125—1221no—
1087#125—1221no—
1088#125C22×D6111yescharacteristic
1089#125C22×D6111yescharacteristic
1090#124—1221no—
1091#124—1221no—
1092#124—1221no—
1093#124—1221no—
1094#124—1221no—
1095#124—1221no—
1096#124—1221no—
1097#124—1221no—
1098#124—1221no—
1099#124C22×D6111yescharacteristic
1100#124C22×D6111yescharacteristic
1101#123—1221no—
1102#123—1221no—
1103#123—1221no—
1104#123—1221no—
1105#123—1221no—
1106#123—1221no—
1107#123—1221no—
1108#123—1221no—
1109#123—1221no—
1110#123—1221no—
1111C22⋊Q8—21no—
1112C22⋊Q8—21no—
1113C22⋊Q8—21no—
1114C22⋊Q8—21no—
1115C22⋊Q8—611no—
1116C22⋊Q8—611no—
1117C22⋊Q8—611no—
1118C22⋊Q8—611no—
1119C22⋊Q8—1221no—
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—
1132#121—611no—
1133#121—611no—
1134#121—611no—
1135#121—611no—
1136#121—611no—
1137#121—611no—
1138#121—611no—
1139#121—611no—
1140#121—1221no—
1141#121—1221no—
1142#121—1221no—
1143#121—1221no—
1144#121—1221no—
1145#121—1221no—
1146#121—1221no—
1147#121—1221no—
1148#121—1221no—
1149#121—1221no—
1150#121—1221no—
1151C4×Q8—611no—
1152C4×Q8—611no—
1153C4×Q8—611no—
1154C4×Q8—611no—
1155C4×Q8—611no—
1156C4×Q8—611no—
1157C4×Q8—611no—
1158C4×Q8—1221no—
1159C4×Q8—1221no—
1160C4×Q8—1221no—
1161C4×Q8—1221no—
1162C4×Q8—1221no—
1163C4×Q8—1221no—
1164C4×Q8—1221no—
1165C4×Q8—1221no—
1166C4×Q8—1221no—
1167C4×Q8—1221no—
1168C4×Q8C22×D6111yescharacteristic
1169C4×Q8C22×D6111yescharacteristic
1170C4×Q8C22×D6111yescharacteristic
1171C4×D4—611no—
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—1221no—
1182C4×D4—1221no—
1183C4×D4—1221no—
1184C4×D4—1221no—
1185C4×D4—1221no—
1186C4×D4—1221no—
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×D4C22×D6111yescharacteristic
1196C4×D4C22×D6111yescharacteristic
1197C4×D4C22×D6111yescharacteristic
1198C4×D4C22×D6111yescharacteristic
1199#117—21no—
1200#117—611no—
1201#117—611no—
1202#117—611no—
1203#117—611no—
1204#117—611no—
1205#117—611no—
1206#117—611no—
1207#117—611no—
1208#117—1221no—
1209#117—1221no—
1210#117—1221no—
1211#117—1221no—
1212#117—1221no—
1213#117—1221no—
1214#117—1221no—
1215#117—1221no—
1216C2×C4⋊C4—21no—
1217C2×C4⋊C4—611no—
1218C2×C4⋊C4—611no—
1219C2×C4⋊C4—611no—
1220C2×C4⋊C4—611no—
1221C2×C4⋊C4—1221no—
1222C2×C4⋊C4—1221no—
1223C2×C4⋊C4—1221no—
1224C2×C4⋊C4—1221no—
1225C2×C42—611no—
1226C2×C42—611no—
1227C2×C42—611no—
1228C2×C42—1221no—
1229C2×C42—1221no—
1230C2×C42—1221no—
1231#107—611no—
1232#107—611no—
1233#107—611no—
1234#107—611no—
1235#107—611no—
1236#107—611no—
1237#107—611no—
1238#107—611no—
1239#107—611no—
1240#107C22×D6111yescharacteristic
1241#106—611no—
1242#106—611no—
1243#106—611no—
1244#106—611no—
1245#106—611no—
1246#106—611no—
1247#106—611no—
1248#106—611no—
1249#106—611no—
1250#106—611no—
1251#106—611no—
1252#106—611no—
1253#106C22×D6111yescharacteristic
1254#106C22×D6111yescharacteristic
1255C4⋊C8—611no—
1256C4⋊C8—611no—
1257C4⋊C8—611no—
1258C4⋊C8—611no—
1259C4⋊C8—611no—
1260C4⋊C8—611no—
1261C4⋊C8—611no—
1262C4⋊C8C22×D6111yescharacteristic
1263C4⋊C8C22×D6111yescharacteristic
1264C4⋊C8C22×D6111yescharacteristic
1265#103—611no—
1266#103—611no—
1267#103—611no—
1268#103—611no—
1269#103—611no—
1270#103—611no—
1271#103—611no—
1272#103—611no—
1273#103—611no—
1274#103—611no—
1275#103—611no—
1276#103—611no—
1277#103C22×D6111yescharacteristic
1278#103C22×D6111yescharacteristic
1279#103C22×D6111yescharacteristic
1280#103C22×D6111yescharacteristic
1281#103C22×D6111yescharacteristic
1282#103C22×D6111yescharacteristic
1283#102—611no—
1284#102—611no—
1285#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102—611no—
1293#102C22×D6111yescharacteristic
1294#102C22×D6111yescharacteristic
1295#102C22×D6111yescharacteristic
1296#102C22×D6111yescharacteristic
1297C22⋊C8—611no—
1298C22⋊C8—611no—
1299C22⋊C8—611no—
1300C22⋊C8—611no—
1301C22⋊C8—611no—
1302C22⋊C8—611no—
1303#97—611no—
1304#97—611no—
1305#97C22×D6111yescharacteristic
1306#97C22×D6111yescharacteristic
1307C4×C8—611no—
1308C4×C8C22×D6111yescharacteristic
1309#41—1222no—
1310#41—4882no—
1311#41—4882no—
1312#41—2444no—
1313#41—2444no—
1314#41—2441no—
1315#41—2442no—
1316C2×Q8—21no—
1317C2×Q8—611no—
1318C2×Q8—1221no—
1319C2×Q8—1221no—
1320C2×Q8—1221no—
1321C2×Q8—1221no—
1322C2×Q8—1221no—
1323C2×Q8—1221no—
1324C2×Q8—1221no—
1325C2×Q8—1222no—
1326C2×Q8—1222no—
1327C2×Q8—4882no—
1328C2×Q8—2441no—
1329C2×Q8—2441no—
1330C2×Q8D4×D6111yescharacteristic
1331C2×Q8C23×D6111yescharacteristic
1332C2×Q8C23×D6111yescharacteristic
1333C2×D4—611no—
1334C2×D4—611no—
1335C2×D4—611no—
1336C2×D4—611no—
1337C2×D4—1221no—
1338C2×D4—1221no—
1339C2×D4—1221no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—1221no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4C23×D6111yescharacteristic
1349C2×D4C23×D6111yescharacteristic
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—611no—
1355C22×C4—611no—
1356C22×C4—611no—
1357C22×C4—611no—
1358C22×C4—611no—
1359C22×C4—611no—
1360C22×C4—611no—
1361C22×C4—611no—
1362C22×C4—611no—
1363C22×C4—1221no—
1364C22×C4—1221no—
1365C22×C4—1221no—
1366C22×C4—1221no—
1367C22×C4—1221no—
1368C22×C4—1221no—
1369C22×C4—1221no—
1370C22×C4—1221no—
1371C22×C4—1221no—
1372C22×C4—1221no—
1373C22×C4—1221no—
1374SD16—41no—
1375SD16—41no—
1376SD16—1222no—
1377SD16—1222no—
1378SD16—2441no—
1379SD16—2441no—
1380D8—41no—
1381D8—2441no—
1382M16—2441no—
1383M16—2441no—
1384C2×C8—611no—
1385C2×C8—611no—
1386C2×C8—611no—
1387C2×C8—611no—
1388C2×C8—2441no—
1389C2×C8—2441no—
1390C2×C8—2441no—
1391C2×C8—2441no—
1392C2×C8C23×D6111yescharacteristic
1393C2×C8C23×D6111yescharacteristic
1394C2×C8C23×D6111yescharacteristic
1395C2×C8C23×D6111yescharacteristic
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—611no—
1406C4⋊C4—611no—
1407C4⋊C4—611no—
1408C4⋊C4—611no—
1409C4⋊C4—611no—
1410C4⋊C4—611no—
1411C4⋊C4—611no—
1412C4⋊C4—611no—
1413C4⋊C4—611no—
1414C4⋊C4—1221no—
1415C4⋊C4—1221no—
1416C4⋊C4—1221no—
1417C4⋊C4—1221no—
1418C4⋊C4—1221no—
1419C4⋊C4—1221no—
1420C4⋊C4—1221no—
1421C4⋊C4—1221no—
1422C4⋊C4—1221no—
1423C4⋊C4—1221no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1442C4⋊C4D4×D6111yescharacteristic
1443C4⋊C4D4×D6111yescharacteristic
1444C4⋊C4C23×D6111yescharacteristic
1445C4⋊C4C23×D6111yescharacteristic
1446C4⋊C4C23×D6111yescharacteristic
1447C4⋊C4C23×D6111yescharacteristic
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—611no—
1457C22⋊C4—611no—
1458C22⋊C4—611no—
1459C22⋊C4—611no—
1460C22⋊C4—611no—
1461C22⋊C4—611no—
1462C22⋊C4—1221no—
1463C22⋊C4—1221no—
1464C22⋊C4—1221no—
1465C22⋊C4—1221no—
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—
1483C42—21no—
1484C42—21no—
1485C42—611no—
1486C42—611no—
1487C42—611no—
1488C42—611no—
1489C42—611no—
1490C42—611no—
1491C42—611no—
1492C42—1221no—
1493C42—1221no—
1494C42—1221no—
1495C42—1221no—
1496C42—1221no—
1497C42—1221no—
1498C42—1221no—
1499C42—1221no—
1500C42—1221no—
1501C42—1221no—
1502C42—1221no—
1503C42C23×D6111yescharacteristic
1504C42C23×D6111yescharacteristic
1505C42C23×D6111yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—611no—
1509C23—611no—
1510C23—611no—
1511C23—1221no—
1512Q8—21no—
1513Q8—21no—
1514Q8—21no—
1515Q8—21no—
1516Q8—41no—
1517Q8—81no—
1518Q8—612no—
1519Q8—1221no—
1520Q8—4881no—
1521Q8—2442no—
1522Q8—2442no—
1523Q8—2442no—
1524Q8—2442no—
1525Q8—2442no—
1526Q8—2442no—
1527D4—21no—
1528D4—21no—
1529D4—21no—
1530D4—21no—
1531D4—1222no—
1532D4—1222no—
1533D4—1221no—
1534D4—1221no—
1535D4—4881no—
1536D4—4881no—
1537D4—4881no—
1538D4—4881no—
1539D4—2441no—
1540D4—2442no—
1541D4—2442no—
1542D4—2442no—
1543D4—2442no—
1544D4—2442no—
1545D4—2442no—
1546D4—2442no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—42no—
1554C2×C4—42no—
1555C2×C4—81no—
1556C2×C4—81no—
1557C2×C4—611no—
1558C2×C4—611no—
1559C2×C4—611no—
1560C2×C4—611no—
1561C2×C4—611no—
1562C2×C4—1222no—
1563C2×C4—1222no—
1564C2×C4—1222no—
1565C2×C4—1222no—
1566C2×C4—1221no—
1567C2×C4—1221no—
1568C2×C4—1221no—
1569C2×C4—1221no—
1570C2×C4—1221no—
1571C2×C4—1221no—
1572C2×C4—1221no—
1573C2×C4—1221no—
1574C2×C4—1221no—
1575C2×C4—1221no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—4881no—
1580C2×C4—4881no—
1581C2×C4—4881no—
1582C2×C4—4881no—
1583C2×C4—2441no—
1584C2×C4—2441no—
1585C2×C4—2442no—
1586C2×C4—2442no—
1587C2×C4—2442no—
1588C2×C4—2442no—
1589C2×C4—2442no—
1590C2×C4—2442no—
1591C2×C4—2442no—
1592C2×C4C2×D4×D6111yescharacteristic
1593C2×C4C2×D4×D6111yescharacteristic
1594C2×C4C2×D4×D6111yescharacteristic
1595C2×C4C2×D4×D6111yescharacteristic
1596C2×C4C2×D4×D6111yescharacteristic
1597C2×C4C2×D4×D6111yescharacteristic
1598C2×C4C24×D6111yescharacteristic
1599C8—21no—
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—1221no—
1604C8—1221no—
1605C8—1221no—
1606C8—1221no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—612no—
1614C22—1221no—
1615C22—1221no—
1616C22—1221no—
1617C22—1221no—
1618C22—1221no—
1619C22—1221no—
1620C22—1221no—
1621C22—1221no—
1622C22—2441no—
1623C22—2441no—
1624C22—2441no—
1625C22C22×D4×D6111yescharacteristic
1626C4—21no—
1627C4—21no—
1628C4—21no—
1629C4—21no—
1630C4—21no—
1631C4—21no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—612no—
1639C4—1221no—
1640C4—1221no—
1641C4—1221no—
1642C4—1222no—
1643C4—1221no—
1644C4—2441no—
1645C4—2441no—
1646C4—2441no—
1647C4—2441no—
1648C4—2441no—
1649C4—2441no—
1650C42−1+4×D6111yescharacteristic
1651C4#1684059811yescharacteristic
1652C2—81no—
1653C2—81no—
1654C2—1222no—
1655C2—4881no—
1656C2—2441no—
1657C2—2441no—
1658C2#2145949811yescharacteristic
1659C2#575×D6111yescharacteristic
1660C2#577×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3376C2
socleC22×C61C23×D4
hypercenter#3376D61
hypocenterC61#62129
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3376

Complements

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

NH ≅ G/Ntype
1. #21459727C2semidirect
2. #21459438C2semidirect
3. #21458766C2semidirect
4. #21458764C2semidirect
5. #21458640C2semidirect
6. #21458341C2semidirect
7. #21458339C2semidirect
8. #21458294C2semidirect
9. #21458286C2semidirect
10. #21458203C2semidirect
11. #21458195C2semidirect
12. #21458012C2semidirect
13. #21458004C2semidirect
14. #21457997C2semidirect
15. #21457989C2semidirect
16. #21457728C2semidirect
17. #21457720C2semidirect
18. #21457178C2semidirect
19. #21457142C2semidirect
20. #21457132C2semidirect
21. #21457045C2semidirect
22. #21457028C2semidirect
23. #21456993C2semidirect
24. #21455966C2semidirect
25. #21455939C2semidirect
26. #21455848C2semidirect
27. #21455622C2semidirect
28. #21455604C2semidirect
29. #475×D61C2semidirect
30. #21454943C2semidirect
31. C61×#3376C2semidirect
827. #3376D61semidirect
1033. C61#62129semidirect

Maximal subgroups

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

subgroupindex
#214597272
#214594382
#214587662
#214587642
#214586402
#214583412
#214583392
#214582942
#214582862
#214582032
#214581952
#214580122
#214580042
#214579972
#214579892
#214577282
#214577202
#214571782
#214571422
#214571322
#214570452
#214570282
#214569932
#214559662
#214559392
#214558482
#214556222
#214556042
#475×D612
#214549432
C61×#33762
#6212961