Finite Group Databasebeta

← #30576152

Subgroups — #30576152

Order 15616.

1776 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459702C211yesmaximal, characteristic, complemented
2#21459430C211yesmaximal, characteristic
3#21458764C211yesmaximal, characteristic, complemented
4#21458589C211yesmaximal, characteristic, complemented
5#21458587C211yesmaximal, characteristic, complemented
6#21458363C211yesmaximal, characteristic, complemented
7#21458361C211yesmaximal, characteristic, complemented
8#21458273C211yesmaximal, characteristic, complemented
9#21458271C211yesmaximal, characteristic, complemented
10#21458197C211yesmaximal, characteristic, complemented
11#21458195C211yesmaximal, characteristic, complemented
12#21457860C211yesmaximal, characteristic, complemented
13#21457852C211yesmaximal, characteristic, complemented
14#21457845C211yesmaximal, characteristic, complemented
15#21457837C211yesmaximal, characteristic, complemented
16#21457659C211yesmaximal, characteristic, complemented
17#21457651C211yesmaximal, characteristic, complemented
18#21457191C211yesmaximal, characteristic, complemented
19#21457155C211yesmaximal, characteristic, complemented
20#21457134C211yesmaximal, characteristic, complemented
21#21457041C211yesmaximal, characteristic, complemented
22#21457018C211yesmaximal, characteristic, complemented
23#21456999C211yesmaximal, characteristic, complemented
24#21455977C211yesmaximal, characteristic, complemented
25#21455916C211yesmaximal, characteristic, complemented
26#21455825C211yesmaximal, characteristic, complemented
27#21455614C211yesmaximal, characteristic, complemented
28#21455604C211yesmaximal, characteristic, complemented
29#476×D61C211yesmaximal, characteristic, complemented
30#21454943C211yesmaximal, characteristic, complemented
31C61×#3388C211yesmaximal, characteristic, complemented
32#16840497C2211yescharacteristic
33#16840490C2211yescharacteristic, complemented
34#16840487—21no—
35#16840486C2211yescharacteristic, complemented
36#16840485C2211yescharacteristic, complemented
37#16840484—21no—
38#16840473C2211yescharacteristic
39#16840465C2211yescharacteristic
40#16840465C2211yescharacteristic
41#16840460—21no—
42#16840453C2211yescharacteristic
43#16840453C2211yescharacteristic, complemented
44#16840450C2211yescharacteristic
45#16840450C2211yescharacteristic, complemented
46#16840444—21no—
47#16840444—21no—
48#16840439—21no—
49#16840439—21no—
50#16840407C2211yescharacteristic
51#16840407C2211yescharacteristic
52#16840403—21no—
53D4×D244C2211yescharacteristic
54#16840371—21no—
55#16840371—21no—
56#16840337—21no—
57#16840318C2211yescharacteristic, complemented
58#16840318C2211yescharacteristic, complemented
59#16840316C2211yescharacteristic, complemented
60#16840316C2211yescharacteristic, complemented
61#16840316C2211yescharacteristic, complemented
62#16840313C2211yescharacteristic
63C4⋊Q8×D61C2211yescharacteristic, complemented
64#16840298—21no—
65#16840297C2211yescharacteristic
66#16840297C2211yescharacteristic
67#16840275—21no—
68#16840275—21no—
69#16840238—21no—
70C4×#11758226C2211yescharacteristic
71C4×#11758224C2211yescharacteristic
72C2×#14519739—21no—
73C4×D4×D61C2211yescharacteristic
74C4×D4×D61C2211yescharacteristic
75#16840172C2211yescharacteristic, complemented
76#16840168C2211yescharacteristic, complemented
77#16840161C2211yescharacteristic, complemented
78#16840128C2211yescharacteristic
79#16840127C2211yescharacteristic
80#16840124C2211yescharacteristic, complemented
81#16840122C2211yescharacteristic, complemented
82#16840119C2211yescharacteristic, complemented
83#16840117C2211yescharacteristic, complemented
84#16840106C2211yescharacteristic, complemented
85#16840105C2211yescharacteristic, complemented
86#16840105C2211yescharacteristic, complemented
87#16840101C2211yescharacteristic, complemented
88#16840099C2211yescharacteristic, complemented
89#16840096C2211yescharacteristic, complemented
90#16840094C2211yescharacteristic, complemented
91#16840094C2211yescharacteristic, complemented
92#16840094C2211yescharacteristic, complemented
93#16840091C2211yescharacteristic, complemented
94#16840089C2211yescharacteristic
95#16840089C2211yescharacteristic, complemented
96#16840089C2211yescharacteristic, complemented
97#16840088C2211yescharacteristic
98#16840088C2211yescharacteristic, complemented
99#16840088C2211yescharacteristic, complemented
100#16840077C2211yescharacteristic
101#16840077C2211yescharacteristic
102#16840070C2211yescharacteristic, complemented
103#16840066C2211yescharacteristic, complemented
104#16840066C2211yescharacteristic, complemented
105#16840066C2211yescharacteristic, complemented
106#16840063C2211yescharacteristic, complemented
107#16840062C2211yescharacteristic
108#16840062C2211yescharacteristic
109#16840059C2211yescharacteristic, complemented
110#16840056C2211yescharacteristic, complemented
111#16840056C2211yescharacteristic, complemented
112#16840053C2211yescharacteristic, complemented
113#16840052C2211yescharacteristic
114#16840051C2211yescharacteristic, complemented
115#16840051C2211yescharacteristic, complemented
116#16840051C2211yescharacteristic, complemented
117#16840051C2211yescharacteristic, complemented
118#16840050C2211yescharacteristic
119#16840050C2211yescharacteristic
120#16840049C2211yescharacteristic, complemented
121#16840046C2211yescharacteristic, complemented
122#16840044C2211yescharacteristic, complemented
123#16840041C2211yescharacteristic, complemented
124#16840041C2211yescharacteristic, complemented
125#16840040C2211yescharacteristic
126#16840021C2211yescharacteristic, complemented
127#16840019C2211yescharacteristic, complemented
128#16840011C2211yescharacteristic
129#16840009C2211yescharacteristic
130#16840004C2211yescharacteristic, complemented
131#16840002C2211yescharacteristic, complemented
132#16839994C2211yescharacteristic
133#16839994C2211yescharacteristic, complemented
134#16839994C2211yescharacteristic, complemented
135#16839992C2211yescharacteristic
136#16839992C2211yescharacteristic, complemented
137#16839992C2211yescharacteristic, complemented
138#16839985C2211yescharacteristic, complemented
139#16839985C2211yescharacteristic, complemented
140#16839984C2211yescharacteristic, complemented
141#16839984C2211yescharacteristic, complemented
142#16839971C2211yescharacteristic, complemented
143#16839966C2211yescharacteristic, complemented
144#16839966C2211yescharacteristic, complemented
145#16839965C2211yescharacteristic
146#16839963C2211yescharacteristic
147#16839962C2211yescharacteristic
148#16839925C2211yescharacteristic
149#16839921C2211yescharacteristic
150#16839914C2211yescharacteristic
151#16839914C2211yescharacteristic
152#16839911C2211yescharacteristic
153#16839911C2211yescharacteristic
154#16839893C2211yescharacteristic, complemented
155#16839870C2211yescharacteristic, complemented
156#16839867C2211yescharacteristic, complemented
157#16839864C2211yescharacteristic, complemented
158#16839862C2211yescharacteristic
159#16839862C2211yescharacteristic
160#16839860C2211yescharacteristic, complemented
161C4×#11758190C2211yescharacteristic, complemented
162C4×#11758201C2211yescharacteristic, complemented
163C4×#11758200C2211yescharacteristic
164#16839835C2211yescharacteristic
165#16839835C2211yescharacteristic, complemented
166#16839832C2211yescharacteristic
167#16839832C2211yescharacteristic, complemented
168C8×D244C2211yescharacteristic, complemented
169#16839827C2211yescharacteristic, complemented
170#16839817C2211yescharacteristic, complemented
171#16839817C2211yescharacteristic, complemented
172#16839813C2211yescharacteristic, complemented
173#16839803C2211yescharacteristic, complemented
174#16839801C2211yescharacteristic, complemented
175#16839799C2211yescharacteristic, complemented
176#16839797C2211yescharacteristic, complemented
177#106×D61C2211yescharacteristic, complemented
178#106×D61C2211yescharacteristic, complemented
179#16839784C2211yescharacteristic, complemented
180C4⋊C8×D61C2211yescharacteristic, complemented
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839765C2211yescharacteristic
183#16839765C2211yescharacteristic
184#16839755C2211yescharacteristic
185#16839755C2211yescharacteristic
186#102×D61C2211yescharacteristic
187#102×D61C2211yescharacteristic
188C61×#557C2211yescharacteristic, complemented
189C61×#554C2211yescharacteristic
190C61×#501C2211yescharacteristic, complemented
191C61×#501C2211yescharacteristic, complemented
192C61×#499C2211yescharacteristic, complemented
193C61×#479C2211yescharacteristic, complemented
194C61×#479C2211yescharacteristic, complemented
195C61×#478C2211yescharacteristic
196C61×#478C2211yescharacteristic
197C61×#476C2211yescharacteristic
198C61×#475C2211yescharacteristic, complemented
199C61×#446C2211yescharacteristic, complemented
200C61×#440C2211yescharacteristic
201C61×#440C2211yescharacteristic
202C4×SD16×C61C2211yescharacteristic
203C2×#11758226—21no—
204C2×#11758226D411yescharacteristic
205C2×#11758224C2311yescharacteristic
206C2×Q8×D61—21no—
207C22×D244—21no—
208C2×D4×D61C2311yescharacteristic
209C2×D4×D61C2311yescharacteristic
210C22×C4×D61—21no—
211C22×C4×D61—21no—
212C2×Dic244C2311yescharacteristic
213C2×#11758202C2311yescharacteristic
214C2×#11758190C2311yescharacteristic
215C2×#11758190C2311yescharacteristic
216C2×#11758200C2311yescharacteristic
217C2×#11758201C2311yescharacteristic
218C2×#11758201C2311yescharacteristic
219C2×#11758189C2311yescharacteristic
220C2×#11758189C2311yescharacteristic
221C2×C8×D61C2311yescharacteristic
222C2×C8×D61C2311yescharacteristic
223C2×C8×D61C2311yescharacteristic
224C2×C8×D61C2311yescharacteristic
225#14519777C2311yescharacteristic
226#14519776—21no—
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519776C2311yescharacteristic
230#14519775—21no—
231#14519775—21no—
232#14519775C2311yescharacteristic
233#14519774C2311yescharacteristic
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519772—21no—
238#14519772—21no—
239#14519772—21no—
240#14519772—21no—
241#14519772—21no—
242#14519772—21no—
243#14519772—21no—
244#14519771—21no—
245#14519771—21no—
246#14519769C2311yescharacteristic
247#14519769C2311yescharacteristic
248#14519768—21no—
249#14519768—21no—
250#14519768—21no—
251#14519767—21no—
252#14519767—21no—
253#14519767—21no—
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519766—21no—
259#14519766—21no—
260#14519766—21no—
261#14519765—21no—
262#14519765C2311yescharacteristic
263#14519765C2311yescharacteristic
264#14519762—21no—
265#14519762—21no—
266#14519762—21no—
267#14519762—21no—
268#14519762—21no—
269#14519762—21no—
270#14519762—21no—
271#14519762—21no—
272#14519762—21no—
273#14519762—21no—
274#14519761—21no—
275#14519761—21no—
276#14519757C2311yescharacteristic
277#14519757C2311yescharacteristic
278#14519757C2311yescharacteristic
279#14519757C2311yescharacteristic
280#14519757C2311yescharacteristic
281#14519755—21no—
282#14519755—21no—
283#14519755—21no—
284#14519755—21no—
285#14519755—21no—
286#14519755—21no—
287#14519755—21no—
288#14519753—21no—
289#14519753—21no—
290#14519753C2311yescharacteristic
291#14519753C2311yescharacteristic
292#14519753C2311yescharacteristic
293#14519752—21no—
294#14519752—21no—
295#14519752—21no—
296#14519752C2311yescharacteristic
297#14519752C2311yescharacteristic
298#14519752C2311yescharacteristic
299#14519752C2311yescharacteristic
300#14519751—21no—
301#14519751—21no—
302#14519751—21no—
303#14519747—21no—
304#14519747—21no—
305#14519747—21no—
306#14519747—21no—
307Q8×Dic61—21no—
308Q8×Dic61D411yescharacteristic
309C4×Dic122—21no—
310C4×Dic122—21no—
311C4×Dic122—21no—
312C4×Dic122—21no—
313C4×Dic122C2311yescharacteristic
314C4×Dic122C2311yescharacteristic
315C4×Dic122C2311yescharacteristic
316C4×Dic122C2311yescharacteristic
317#14519742—21no—
318#14519742—21no—
319#14519742—21no—
320#14519742—21no—
321#14519742—21no—
322#14519742C2311yescharacteristic
323C4×D244C2311yescharacteristic
324C4×D244C2311yescharacteristic
325C4×D244C2311yescharacteristic
326C4×D244C2311yescharacteristic
327C4×D244C2311yescharacteristic
328D4×Dic61C2311yescharacteristic
329#14519739—21no—
330#14519739—21no—
331#14519739—21no—
332#14519739—21no—
333#14519739—21no—
334#14519739—21no—
335#14519739—21no—
336#14519739D411yescharacteristic
337#14519739D411yescharacteristic
338#14519739D411yescharacteristic
339#14519739C2311yescharacteristic
340#14519739C2311yescharacteristic
341C4×C22⋊D61—21no—
342C4×C22⋊D61—21no—
343C4×C22⋊D61—21no—
344#14519737—21no—
345#14519737—21no—
346#14519737—21no—
347#14519735—21no—
348#14519735—21no—
349#14519735—21no—
350#14519735—21no—
351#14519735D411yescharacteristic
352#14519735D411yescharacteristic
353#14519735D411yescharacteristic
354#14519735C2311yescharacteristic
355#14519735C2311yescharacteristic
356#14519735C2311yescharacteristic
357#14519735C2311yescharacteristic
358#14519735C2311yescharacteristic
359#14519734—21no—
360#14519734—21no—
361#14519734—21no—
362#14519734—21no—
363#14519734—21no—
364#14519733—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61C2311yescharacteristic
367C4⋊C4×D61C2311yescharacteristic
368C4⋊C4×D61C2311yescharacteristic
369C4⋊C4×D61C2311yescharacteristic
370C2×#11758198—21no—
371C2×#11758198—21no—
372C22⋊C4×D61—21no—
373C22⋊C4×D61—21no—
374C2×C4×Dic61—21no—
375C42×D61C2311yescharacteristic
376C42×D61C2311yescharacteristic
377C42×D61C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519708C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393C4⋊#92418C2311yescharacteristic
394C4⋊#92418C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519688C2311yescharacteristic
433#14519688C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C2×SD16×C61C2311yescharacteristic
436C4⋊Q8×C61—21no—
437C4⋊Q8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439#125×C61—21no—
440#125×C61—21no—
441#125×C61C2311yescharacteristic
442#125×C61C2311yescharacteristic
443#125×C61C2311yescharacteristic
444#125×C61C2311yescharacteristic
445C22⋊Q8×C61—21no—
446C22⋊Q8×C61—21no—
447C22⋊Q8×C61—21no—
448C4×Q8×C61—21no—
449C4×Q8×C61C2311yescharacteristic
450C4×Q8×C61C2311yescharacteristic
451C4×Q8×C61C2311yescharacteristic
452C4×Q8×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456C2×C4⋊C4×C61—21no—
457#107×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#106×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466C4⋊C8×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#97×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C23×D61—21no—
479C23×D61—21no—
480C2×Q8×C61—21no—
481C2×Q8×C61—21no—
482C2×Q8×C61C2×D411yescharacteristic
483C2×Q8×C61C2411yescharacteristic
484C2×D4×C61C2411yescharacteristic
485C22×C4×C61—21no—
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C2×C22⋊D61—21no—
489C2×C22⋊D61—21no—
490C2×C22⋊D61—21no—
491C22×Dic61—21no—
492C22×Dic61—21no—
493#11758226—42no—
494#11758226—82no—
495Q8×D61—44no—
496#11758224—22no—
497#11758224—41no—
498D4×D61—22no—
499D4×D61—22no—
500D4×D61—41no—
501D4×D61—41no—
502C2×D244—21no—
503C2×D244—21no—
504C2×D244—21no—
505C2×D244—21no—
506C2×D244—21no—
507C2×D244—21no—
508C2×D244—44no—
509C2×D244C2×D411yescharacteristic
510C2×D244C2×D411yescharacteristic
511C2×D244C2×D411yescharacteristic
512C2×D244C2411yescharacteristic
513C2×D244C2411yescharacteristic
514C2×C4×D61—21no—
515C2×C4×D61—21no—
516C2×C4×D61—21no—
517C2×C4×D61—21no—
518C2×C4×D61—21no—
519C2×C4×D61—21no—
520C2×C4×D61—21no—
521C2×C4×D61—21no—
522C2×C4×D61—82no—
523C2×C4×D61—82no—
524C2×C4×D61C2×D411yescharacteristic
525C2×C4×D61C2×D411yescharacteristic
526C2×C4×D61C2×D411yescharacteristic
527C2×C4×D61C2×D411yescharacteristic
528C2×C4×D61C2×D411yescharacteristic
529C2×C4×D61C2×D411yescharacteristic
530C2×C4×D61C2411yescharacteristic
531C2×C4×D61C2411yescharacteristic
532C2×C4×D61C2411yescharacteristic
533C2×Dic122—21no—
534C2×Dic122—21no—
535C2×Dic122—21no—
536C2×Dic122—21no—
537C2×Dic122C2411yescharacteristic
538C2×Dic122C2411yescharacteristic
539SD16×C61—22no—
540C2×C8×C61C2411yescharacteristic
541C2×C8×C61C2411yescharacteristic
542C2×C8×C61C2411yescharacteristic
543C2×C8×C61C2411yescharacteristic
544C4⋊C4×C61—21no—
545C4⋊C4×C61—21no—
546C4⋊C4×C61—21no—
547C4⋊C4×C61—21no—
548C4⋊C4×C61—21no—
549C4⋊C4×C61—21no—
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×C61C2×D411yescharacteristic
558C4⋊C4×C61C2×D411yescharacteristic
559C4⋊C4×C61C2×D411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C42×C61—21no—
570C42×C61—21no—
571C42×C61—21no—
572C42×C61C2411yescharacteristic
573C42×C61C2411yescharacteristic
574C42×C61C2411yescharacteristic
575C22⋊Dic61—21no—
576#11758202—41no—
577#11758201—41no—
578#11758201—41no—
579#11758200—22no—
580#11758198—21no—
581#11758198—21no—
582#11758198—21no—
583#11758198—21no—
584#11758198—21no—
585#11758198—21no—
586#11758198—21no—
587#11758198—21no—
588#11758198—21no—
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#11758198—21no—
605#11758198C2×D411yescharacteristic
606#11758198C2×D411yescharacteristic
607#11758198C2×D411yescharacteristic
608#11758198C2×D411yescharacteristic
609#11758198C2×D411yescharacteristic
610#11758198C2×D411yescharacteristic
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61C2×D411yescharacteristic
618C4⋊Dic61C2×D411yescharacteristic
619C4⋊Dic61C2×D411yescharacteristic
620C4⋊Dic61C2411yescharacteristic
621C4⋊Dic61C2411yescharacteristic
622C4⋊Dic61C2411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
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—
645C4×Dic61—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×Dic61C2×D411yescharacteristic
656C4×Dic61C2×D411yescharacteristic
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2411yescharacteristic
662C2×#92418C2411yescharacteristic
663C2×#92418C2411yescharacteristic
664C2×#92418C2411yescharacteristic
665C2×#92418C2411yescharacteristic
666Dic244—41no—
667#11758190—41no—
668#11758190—41no—
669#11758189—41no—
670#11758189—41no—
671C8×D61—41no—
672C8×D61—41no—
673C8×D61—41no—
674C8×D61—41no—
675C23×C61—21no—
676C22×D61—21no—
677C22×D61—21no—
678C22×D61—42no—
679C22×D61—42no—
680C22×D61—42no—
681C22×D61—42no—
682C22×D61—81no—
683C22×D61—81no—
684C22×D61C22×D411yescharacteristic
685C22×D61C22×D411yescharacteristic
686C22×D61C22×D411yescharacteristic
687Q8×C61—21no—
688Q8×C61—21no—
689Q8×C61—41no—
690Q8×C61—42no—
691Q8×C61—81no—
692D4×C61—21no—
693D4×C612−1+412yes—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—42no—
702C2×C4×C61—81no—
703C2×C4×C61—81no—
704C2×C4×C61C22×D411yescharacteristic
705C2×C4×C61C22×D411yescharacteristic
706C2×C4×C61C22×D411yescharacteristic
707C2×C4×C61C22×D411yescharacteristic
708C2×C4×C61C22×D411yescharacteristic
709C2×C4×C61C22×D411yescharacteristic
710C2×C4×C61C2511yescharacteristic
711C22⋊D61—42no—
712C22⋊D61—42no—
713C22⋊D61—42no—
714C2×Dic61—21no—
715C2×Dic61—21no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—42no—
721C2×Dic61—42no—
722C2×Dic61C22×D411yescharacteristic
723C2×Dic61C22×D411yescharacteristic
724C2×Dic61C22×D411yescharacteristic
725C2×Dic61C22×D411yescharacteristic
726C2×Dic61C22×D411yescharacteristic
727D244—22no—
728D244—22no—
729D244—21no—
730D244—21no—
731D244—21no—
732D244—21no—
733D244—41no—
734D244—42no—
735D244—42no—
736D244—42no—
737D244—81no—
738D244—81no—
739D244—81no—
740C4×D61—22no—
741C4×D61—21no—
742C4×D61—21no—
743C4×D61—21no—
744C4×D61—21no—
745C4×D61—21no—
746C4×D61—21no—
747C4×D61—22no—
748C4×D61—22no—
749C4×D61—22no—
750C4×D61—41no—
751C4×D61—41no—
752C4×D61—42no—
753C4×D61—42no—
754C4×D61—42no—
755C4×D61—42no—
756C4×D61—81no—
757C4×D61—81no—
758C4×D61—81no—
759C4×D61—81no—
760Dic122—21no—
761Dic122—21no—
762Dic122—21no—
763Dic122—21no—
764Dic122—42no—
765Dic122—42no—
766Dic122—42no—
767Dic122—42no—
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#62126—611nomaximal, Sylow
777C22×C61—22no—
778C22×C61—41no—
779C22×C61—41no—
780C22×C61C23×D411yescharacteristic
781C2×D61—21no—
782C2×D61—21no—
783C2×D61—21no—
784C2×D61—21no—
785C2×D61—21no—
786C2×D61—21no—
787C2×D61—21no—
788C2×D61—21no—
789C2×D61—41no—
790C2×D61—41no—
791C2×D61—41no—
792C2×D61—41no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61—84no—
796C2×D61—84no—
797C2×D61#57512yes—
798C4×C61—21no—
799C4×C61—21no—
800C4×C61—21no—
801C4×C61—21no—
802C4×C61—21no—
803C4×C61—21no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61—41no—
808C4×C61—41no—
809C4×C61—41no—
810C4×C61—41no—
811C4×C61C2×2−1+411yescharacteristic
812C4×C61#58511yescharacteristic
813Dic61—21no—
814Dic61—21no—
815Dic61—21no—
816Dic61—21no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822Dic61—41no—
823Dic61#57712yes—
824#3509—611no—
825#3481—611no—
826#3388—611no—
827#3388D6111yescharacteristic, complemented
828#3371—611no—
829#3371—611no—
830#3350—611no—
831#3350—611no—
832#3344—611no—
833#3344—611no—
834#3337—611no—
835#3337—611no—
836#3311—611no—
837#3311—611no—
838#3310—611no—
839#3310—611no—
840#3296—611no—
841#3296—611no—
842#3252—611no—
843#3248—611no—
844#3246—611no—
845#3238—611no—
846#3235—611no—
847#3233—611no—
848#3116—611no—
849#3110—611no—
850#3101—611no—
851#3077—611no—
852#3076—611no—
853C2×#476—611no—
854#2990—611no—
855C2×C61—42no—
856C2×C61#348911yescharacteristic
857C2×C61C2×#57511yescharacteristic
858C2×C61C2×#57711yescharacteristic
859D61—22no—
860D61—41no—
861D61—41no—
862D61—81no—
863D61—81no—
864#559—611no—
865#557—611no—
866#557—1221no—
867#557C2×D6111yescharacteristic, complemented
868#556—611no—
869#556—611no—
870#556—1221no—
871#554—611no—
872#554C2×D6111yescharacteristic
873#553—611no—
874#553—611no—
875#553—1221no—
876#552—611no—
877#552—611no—
878#552—611no—
879#552—611no—
880#552—1221no—
881#552—1221no—
882#551—1221no—
883#551—1221no—
884#546—611no—
885#546—611no—
886#546—1221no—
887D42—611no—
888#541—1221no—
889#541—1221no—
890#536—1221no—
891#533—611no—
892#533—611no—
893#533—611no—
894#533—611no—
895#533—611no—
896#532—611no—
897C2×C4⋊Q8—611no—
898#529—611no—
899#529—611no—
900#529—1221no—
901#525—1221no—
902#525—1221no—
903#519—1221no—
904C4×#41—611no—
905C4×#41—611no—
906C2×C4×D4—611no—
907C2×C4×D4—611no—
908C2×C4×D4—1221no—
909#501—611no—
910#501—611no—
911#501C2×D6111yescharacteristic, complemented
912#501C2×D6111yescharacteristic, complemented
913#499—611no—
914#499C2×D6111yescharacteristic, complemented
915#490—611no—
916#490—611no—
917#489—611no—
918#489—611no—
919#488—611no—
920#488—611no—
921#485—611no—
922#485—611no—
923#485—611no—
924#485—611no—
925#484—611no—
926#484—611no—
927#483—611no—
928#483—611no—
929#483—611no—
930#483—611no—
931#482—611no—
932#482—611no—
933#482—611no—
934#482—611no—
935#482—611no—
936#482—611no—
937#480—611no—
938#480—611no—
939#479—611no—
940#479—611no—
941#479—611no—
942#479—611no—
943#479C2×D6111yescharacteristic, complemented
944#479C2×D6111yescharacteristic, complemented
945#478—611no—
946#478—611no—
947#478—611no—
948#478—611no—
949#478C2×D6111yescharacteristic
950#478C2×D6111yescharacteristic
951#477—611no—
952#477—611no—
953#476—611no—
954#476—611no—
955#476—611no—
956#476—611no—
957#476—611no—
958#476—611no—
959#476—611no—
960#476—611no—
961#476—611no—
962#476C2×D6111yescharacteristic
963#475—611no—
964#475—611no—
965#475C2×D6111yescharacteristic, complemented
966#474—611no—
967#474—611no—
968#474—611no—
969#470—611no—
970#470—611no—
971#468—611no—
972#468—611no—
973#467—611no—
974#467—611no—
975#465—611no—
976#465—611no—
977#465—611no—
978#465—611no—
979#465—611no—
980#465—611no—
981#464—611no—
982#464—611no—
983#464—611no—
984#464—611no—
985#462—611no—
986#461—611no—
987#461—611no—
988#461—611no—
989#460—611no—
990#460—611no—
991#452—611no—
992#452—611no—
993#450—611no—
994#450—611no—
995#450—611no—
996#450—611no—
997#446—611no—
998#446C2×D6111yescharacteristic, complemented
999#441—611no—
1000#441—611no—
1001#440—611no—
1002#440—611no—
1003#440—611no—
1004#440—611no—
1005#440C2×D6111yescharacteristic
1006#440C2×D6111yescharacteristic
1007C4×SD16—611no—
1008C4×SD16—611no—
1009C4×SD16—611no—
1010C4×SD16C2×D6111yescharacteristic
1011#435—611no—
1012#435—611no—
1013#435—611no—
1014#435—611no—
1015C8×D4—611no—
1016C8×D4—611no—
1017#432—611no—
1018#432—611no—
1019#431—611no—
1020#428—611no—
1021#428—611no—
1022#427—611no—
1023#427—611no—
1024C2×#106—611no—
1025C2×#106—611no—
1026#423—611no—
1027C2×C4⋊C8—611no—
1028C2×C4⋊C8—611no—
1029#418—611no—
1030#418—611no—
1031#416—611no—
1032#416—611no—
1033C2×#102—611no—
1034C2×#102—611no—
1035C61#6212611yescharacteristic, complemented, Sylow
1036C2×#41—611no—
1037C2×#41—611no—
1038C2×#41—1221no—
1039C22×Q8—1221no—
1040C22×D4—611no—
1041C22×D4—611no—
1042C22×D4—1221no—
1043C23×C4—1221no—
1044C23×C4—1221no—
1045C2×Q16—611no—
1046C2×Q16—611no—
1047C2×SD16—611no—
1048C2×SD16—611no—
1049C2×SD16—611no—
1050C2×SD16—611no—
1051C2×SD16—611no—
1052C2×SD16C22×D6111yescharacteristic
1053C2×M16—611no—
1054C2×M16—611no—
1055C22×C8—611no—
1056C22×C8—611no—
1057C22×C8—611no—
1058C22×C8—611no—
1059C4⋊Q8—21no—
1060C4⋊Q8—611no—
1061C4⋊Q8—611no—
1062C4⋊Q8—611no—
1063C4⋊Q8—611no—
1064C4⋊Q8—611no—
1065C4⋊Q8—1221no—
1066C4⋊Q8—1221no—
1067C4⋊Q8—1221no—
1068C4⋊Q8C22×D6111yescharacteristic
1069C4⋊Q8C22×D6111yescharacteristic
1070#127—611no—
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#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#125—21no—
1084#125—21no—
1085#125—611no—
1086#125—611no—
1087#125—1221no—
1088#125—1221no—
1089#125—1221no—
1090#125—1221no—
1091#125—1221no—
1092#125—1221no—
1093#125—1221no—
1094#125—1221no—
1095#125—1221no—
1096#125—1221no—
1097#125C22×D6111yescharacteristic
1098#125C22×D6111yescharacteristic
1099#125C22×D6111yescharacteristic
1100#125C22×D6111yescharacteristic
1101#124—611no—
1102#124—611no—
1103#124—1221no—
1104#124—1221no—
1105#124—1221no—
1106#124—1221no—
1107#123—1221no—
1108#123—1221no—
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—
1118#123—1221no—
1119C22⋊Q8—21no—
1120C22⋊Q8—21no—
1121C22⋊Q8—21no—
1122C22⋊Q8—611no—
1123C22⋊Q8—611no—
1124C22⋊Q8—611no—
1125C22⋊Q8—611no—
1126C22⋊Q8—611no—
1127C22⋊Q8—611no—
1128C22⋊Q8—611no—
1129C22⋊Q8—611no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139#121—611no—
1140#121—611no—
1141#121—611no—
1142#121—611no—
1143#121—1221no—
1144#121—1221no—
1145#121—1221no—
1146#121—1221no—
1147#121—1221no—
1148#121—1221no—
1149#120—1221no—
1150#120—1221no—
1151#120—1221no—
1152#120—1221no—
1153C4×Q8—21no—
1154C4×Q8—611no—
1155C4×Q8—611no—
1156C4×Q8—611no—
1157C4×Q8—611no—
1158C4×Q8—611no—
1159C4×Q8—611no—
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×Q8—1221no—
1169C4×Q8—1221no—
1170C4×Q8C22×D6111yescharacteristic
1171C4×Q8C22×D6111yescharacteristic
1172C4×Q8C22×D6111yescharacteristic
1173C4×Q8C22×D6111yescharacteristic
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—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×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4C22×D6111yescharacteristic
1199C4×D4C22×D6111yescharacteristic
1200C4×D4C22×D6111yescharacteristic
1201#117—611no—
1202#117—611no—
1203#117—611no—
1204#117—611no—
1205#117—611no—
1206#117—611no—
1207#117—611no—
1208#117—611no—
1209#117—1221no—
1210#117—1221no—
1211#117—1221no—
1212#117—1221no—
1213#117—1221no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219C2×C4⋊C4—21no—
1220C2×C4⋊C4—611no—
1221C2×C4⋊C4—611no—
1222C2×C4⋊C4—611no—
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—1221no—
1225C2×C22⋊C4—1221no—
1226C2×C22⋊C4—1221no—
1227C2×C22⋊C4—1221no—
1228C2×C22⋊C4—1221no—
1229C2×C42—611no—
1230C2×C42—611no—
1231C2×C42—611no—
1232C2×C42—1221no—
1233#107—611no—
1234#107—611no—
1235#107—611no—
1236#107—611no—
1237#107—611no—
1238#107—611no—
1239#107C22×D6111yescharacteristic
1240#107C22×D6111yescharacteristic
1241#107C22×D6111yescharacteristic
1242#107C22×D6111yescharacteristic
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#106C22×D6111yescharacteristic
1253#106C22×D6111yescharacteristic
1254#106C22×D6111yescharacteristic
1255#106C22×D6111yescharacteristic
1256#106C22×D6111yescharacteristic
1257C4⋊C8—611no—
1258C4⋊C8—611no—
1259C4⋊C8—611no—
1260C4⋊C8—611no—
1261C4⋊C8—611no—
1262C4⋊C8—611no—
1263C4⋊C8—611no—
1264C4⋊C8C22×D6111yescharacteristic
1265C4⋊C8C22×D6111yescharacteristic
1266C4⋊C8C22×D6111yescharacteristic
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#103—611no—
1278#103C22×D6111yescharacteristic
1279#103C22×D6111yescharacteristic
1280#103C22×D6111yescharacteristic
1281#102—611no—
1282#102—611no—
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#102—611no—
1294#102—611no—
1295#102—611no—
1296#102C22×D6111yescharacteristic
1297#102C22×D6111yescharacteristic
1298#102C22×D6111yescharacteristic
1299C22⋊C8—611no—
1300C22⋊C8—611no—
1301C22⋊C8—611no—
1302C22⋊C8—611no—
1303C22⋊C8—611no—
1304C22⋊C8—611no—
1305#97—611no—
1306#97—611no—
1307#97C22×D6111yescharacteristic
1308#97C22×D6111yescharacteristic
1309C4×C8—611no—
1310C4×C8C22×D6111yescharacteristic
1311C24—1221no—
1312C24—1221no—
1313#41—1222no—
1314#41—4882no—
1315#41—2441no—
1316#41—2442no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—611no—
1320C2×Q8—611no—
1321C2×Q8—1221no—
1322C2×Q8—1221no—
1323C2×Q8—1221no—
1324C2×Q8—1221no—
1325C2×Q8—2444no—
1326C2×Q8D4×D6111yescharacteristic
1327C2×Q8C23×D6111yescharacteristic
1328C2×D4—611no—
1329C2×D4—611no—
1330C2×D4—611no—
1331C2×D4—611no—
1332C2×D4—611no—
1333C2×D4—1221no—
1334C2×D4—1221no—
1335C2×D4—1221no—
1336C2×D4—1221no—
1337C2×D4—1221no—
1338C2×D4—1221no—
1339C2×D4—1222no—
1340C2×D4—1222no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—2444no—
1345C2×D4—2441no—
1346C2×D4—2441no—
1347C2×D4C23×D6111yescharacteristic
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—611no—
1352C22×C4—611no—
1353C22×C4—611no—
1354C22×C4—611no—
1355C22×C4—611no—
1356C22×C4—611no—
1357C22×C4—611no—
1358C22×C4—611no—
1359C22×C4—611no—
1360C22×C4—1221no—
1361C22×C4—1221no—
1362C22×C4—1221no—
1363C22×C4—1221no—
1364C22×C4—1221no—
1365C22×C4—1221no—
1366C22×C4—1221no—
1367C22×C4—1221no—
1368C22×C4—1221no—
1369C22×C4—1221no—
1370C22×C4—4882no—
1371C22×C4—4882no—
1372Q16—2441no—
1373Q16—2441no—
1374SD16—22no—
1375SD16—1222no—
1376SD16—2441no—
1377SD16—2441no—
1378SD16—2441no—
1379SD16—2441no—
1380M16—2441no—
1381M16—2441no—
1382C2×C8—611no—
1383C2×C8—611no—
1384C2×C8—611no—
1385C2×C8—611no—
1386C2×C8—2441no—
1387C2×C8—2441no—
1388C2×C8—2441no—
1389C2×C8—2441no—
1390C2×C8C23×D6111yescharacteristic
1391C2×C8C23×D6111yescharacteristic
1392C2×C8C23×D6111yescharacteristic
1393C2×C8C23×D6111yescharacteristic
1394C4⋊C4—21no—
1395C4⋊C4—21no—
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—21no—
1406C4⋊C4—21no—
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
1448C4⋊C4C23×D6111yescharacteristic
1449C4⋊C4C23×D6111yescharacteristic
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—611no—
1454C22⋊C4—611no—
1455C22⋊C4—611no—
1456C22⋊C4—611no—
1457C22⋊C4—611no—
1458C22⋊C4—611no—
1459C22⋊C4—1221no—
1460C22⋊C4—1221no—
1461C22⋊C4—1221no—
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—
1483C22⋊C4—1221no—
1484C22⋊C4—1221no—
1485C42—21no—
1486C42—21no—
1487C42—21no—
1488C42—611no—
1489C42—611no—
1490C42—611no—
1491C42—611no—
1492C42—611no—
1493C42—611no—
1494C42—611no—
1495C42—1221no—
1496C42—1221no—
1497C42—1221no—
1498C42—1221no—
1499C42—1221no—
1500C42—1221no—
1501C42—1221no—
1502C42—1221no—
1503C42—1221no—
1504C42—1221no—
1505C42C23×D6111yescharacteristic
1506C42C23×D6111yescharacteristic
1507C42C23×D6111yescharacteristic
1508C23—21no—
1509C23—611no—
1510C23—611no—
1511C23—611no—
1512C23—1221no—
1513C23—1221no—
1514C23—4881no—
1515C23—4881no—
1516C23—2442no—
1517C23—2442no—
1518C23—2442no—
1519C23—2442no—
1520Q8—21no—
1521Q8—21no—
1522Q8—41no—
1523Q8—42no—
1524Q8—81no—
1525Q8—1221no—
1526Q8—1221no—
1527Q8—1221no—
1528Q8—1221no—
1529Q8—2442no—
1530Q8—2442no—
1531Q8—2442no—
1532Q8—2442no—
1533D4—21no—
1534D4—1222no—
1535D4—1222no—
1536D4—1221no—
1537D4—1221no—
1538D4—1221no—
1539D4—1221no—
1540D4—4881no—
1541D4—4881no—
1542D4—4881no—
1543D4—2441no—
1544D4—2442no—
1545D4—2442no—
1546D4—2442no—
1547D4—2442no—
1548D4—2442no—
1549D4—2442no—
1550D4#1451982512yes—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—42no—
1559C2×C4—81no—
1560C2×C4—81no—
1561C2×C4—611no—
1562C2×C4—611no—
1563C2×C4—611no—
1564C2×C4—611no—
1565C2×C4—611no—
1566C2×C4—1222no—
1567C2×C4—1222no—
1568C2×C4—1222no—
1569C2×C4—1222no—
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—1221no—
1580C2×C4—1221no—
1581C2×C4—1221no—
1582C2×C4—4881no—
1583C2×C4—4881no—
1584C2×C4—4881no—
1585C2×C4—4881no—
1586C2×C4—2441no—
1587C2×C4—2441no—
1588C2×C4—2442no—
1589C2×C4—2442no—
1590C2×C4—2442no—
1591C2×C4—2442no—
1592C2×C4—2442no—
1593C2×C4—2442no—
1594C2×C4C2×D4×D6111yescharacteristic
1595C2×C4C2×D4×D6111yescharacteristic
1596C2×C4C2×D4×D6111yescharacteristic
1597C2×C4C2×D4×D6111yescharacteristic
1598C2×C4C2×D4×D6111yescharacteristic
1599C2×C4C2×D4×D6111yescharacteristic
1600C2×C4C24×D6111yescharacteristic
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—1221no—
1606C8—1221no—
1607C8—1221no—
1608C8—1221no—
1609C22—22no—
1610C22—41no—
1611C22—41no—
1612C22—612no—
1613C22—1221no—
1614C22—1221no—
1615C22—1221no—
1616C22—1221no—
1617C22—1221no—
1618C22—1221no—
1619C22—1221no—
1620C22—1221no—
1621C22—4884no—
1622C22—4884no—
1623C22—2441no—
1624C22—2441no—
1625C22—2441no—
1626C22—2441no—
1627C22—2441no—
1628C22—2441no—
1629C22C22×D4×D6111yescharacteristic
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—612no—
1644C4—1221no—
1645C4—1221no—
1646C4—1221no—
1647C4—1221no—
1648C4—2441no—
1649C4—2441no—
1650C4—2441no—
1651C4—2441no—
1652C4—2441no—
1653C4—2441no—
1654C4C2×#1451982511yescharacteristic
1655C4#1684059911yescharacteristic
1656C2—42no—
1657C2—1222no—
1658C2—4881no—
1659C2—4881no—
1660C2—2441no—
1661C2—2441no—
1662C2#2145949611yescharacteristic
1663C2#575×D6111yescharacteristic
1664C2#577×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3388C2
socleC22×C61C23×D4
prime radical#21459430C2
hypercenter#3388D61
hypocenterC61#62126
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3388

Complements

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

NH ≅ G/Ntype
1. #21459702C2semidirect
3. #21458764C2semidirect
4. #21458589C2semidirect
5. #21458587C2semidirect
6. #21458363C2semidirect
7. #21458361C2semidirect
8. #21458273C2semidirect
9. #21458271C2semidirect
10. #21458197C2semidirect
11. #21458195C2semidirect
12. #21457860C2semidirect
13. #21457852C2semidirect
14. #21457845C2semidirect
15. #21457837C2semidirect
16. #21457659C2semidirect
17. #21457651C2semidirect
18. #21457191C2semidirect
19. #21457155C2semidirect
20. #21457134C2semidirect
21. #21457041C2semidirect
22. #21457018C2semidirect
23. #21456999C2semidirect
24. #21455977C2semidirect
25. #21455916C2semidirect
26. #21455825C2semidirect
27. #21455614C2semidirect
28. #21455604C2semidirect
29. #476×D61C2semidirect
30. #21454943C2semidirect
31. C61×#3388C2semidirect
33. #16840490C22semidirect
35. #16840486C22semidirect
36. #16840485C22semidirect
43. #16840453C22semidirect
45. #16840450C22semidirect
57. #16840318C22semidirect
58. #16840318C22semidirect
59. #16840316C22semidirect
60. #16840316C22semidirect
61. #16840316C22semidirect
63. C4⋊Q8×D61C22semidirect
75. #16840172C22semidirect
76. #16840168C22semidirect
77. #16840161C22semidirect
80. #16840124C22semidirect
81. #16840122C22semidirect
82. #16840119C22semidirect
83. #16840117C22semidirect
84. #16840106C22semidirect
85. #16840105C22semidirect
86. #16840105C22semidirect
87. #16840101C22semidirect
88. #16840099C22semidirect
89. #16840096C22semidirect
90. #16840094C22semidirect
91. #16840094C22semidirect
92. #16840094C22semidirect
93. #16840091C22semidirect
95. #16840089C22semidirect
96. #16840089C22semidirect
98. #16840088C22semidirect
99. #16840088C22semidirect
102. #16840070C22semidirect
103. #16840066C22semidirect
104. #16840066C22semidirect
105. #16840066C22semidirect
106. #16840063C22semidirect
109. #16840059C22semidirect
110. #16840056C22semidirect
111. #16840056C22semidirect
112. #16840053C22semidirect
114. #16840051C22semidirect
115. #16840051C22semidirect
116. #16840051C22semidirect
117. #16840051C22semidirect
120. #16840049C22semidirect
121. #16840046C22semidirect
122. #16840044C22semidirect
123. #16840041C22semidirect
124. #16840041C22semidirect
126. #16840021C22semidirect
127. #16840019C22semidirect
130. #16840004C22semidirect
131. #16840002C22semidirect
133. #16839994C22semidirect
134. #16839994C22semidirect
136. #16839992C22semidirect
137. #16839992C22semidirect
138. #16839985C22semidirect
139. #16839985C22semidirect
140. #16839984C22semidirect
141. #16839984C22semidirect
142. #16839971C22semidirect
143. #16839966C22semidirect
144. #16839966C22semidirect
154. #16839893C22semidirect
155. #16839870C22semidirect
156. #16839867C22semidirect
157. #16839864C22semidirect
160. #16839860C22semidirect
161. C4×#11758190C22semidirect
162. C4×#11758201C22semidirect
165. #16839835C22semidirect
167. #16839832C22semidirect
168. C8×D244C22semidirect
169. #16839827C22semidirect
170. #16839817C22semidirect
171. #16839817C22semidirect
172. #16839813C22semidirect
173. #16839803C22semidirect
174. #16839801C22semidirect
175. #16839799C22semidirect
176. #16839797C22semidirect
177. #106×D61C22semidirect
178. #106×D61C22semidirect
179. #16839784C22semidirect
180. C4⋊C8×D61C22semidirect
181. C4⋊C8×D61C22semidirect
188. C61×#557C22semidirect
190. C61×#501C22semidirect
191. C61×#501C22semidirect
192. C61×#499C22semidirect
193. C61×#479C22semidirect
194. C61×#479C22semidirect
198. C61×#475C22semidirect
199. C61×#446C22semidirect
827. #3388D61semidirect
867. #557C2×D61semidirect
911. #501C2×D61semidirect
912. #501C2×D61semidirect
914. #499C2×D61semidirect
943. #479C2×D61semidirect
944. #479C2×D61semidirect
965. #475C2×D61semidirect
998. #446C2×D61semidirect
1035. C61#62126semidirect

Maximal subgroups

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

subgroupindex
#214597022
#214594302
#214587642
#214585892
#214585872
#214583632
#214583612
#214582732
#214582712
#214581972
#214581952
#214578602
#214578522
#214578452
#214578372
#214576592
#214576512
#214571912
#214571552
#214571342
#214570412
#214570182
#214569992
#214559772
#214559162
#214558252
#214556142
#214556042
#476×D612
#214549432
C61×#33882
#6212661