Finite Group Databasebeta

← #30576156

Subgroups — #30576156

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#21459428C211yesmaximal, characteristic
3#21458766C211yesmaximal, characteristic, complemented
4#21458758C211yesmaximal, characteristic, complemented
5#21458581C211yesmaximal, characteristic, complemented
6#21458371C211yesmaximal, characteristic, complemented
7#21458369C211yesmaximal, characteristic, complemented
8#21458281C211yesmaximal, characteristic, complemented
9#21458279C211yesmaximal, characteristic, complemented
10#21458205C211yesmaximal, characteristic, complemented
11#21458203C211yesmaximal, characteristic, complemented
12#21457862C211yesmaximal, characteristic, complemented
13#21457854C211yesmaximal, characteristic, complemented
14#21457847C211yesmaximal, characteristic, complemented
15#21457839C211yesmaximal, characteristic, complemented
16#21457661C211yesmaximal, characteristic, complemented
17#21457653C211yesmaximal, characteristic, complemented
18#21457189C211yesmaximal, characteristic, complemented
19#21457153C211yesmaximal, characteristic, complemented
20#21457133C211yesmaximal, characteristic, complemented
21#21457036C211yesmaximal, characteristic, complemented
22#21457012C211yesmaximal, characteristic, complemented
23#21456993C211yesmaximal, characteristic, complemented
24#21455979C211yesmaximal, characteristic, complemented
25#21455916C211yesmaximal, characteristic, complemented
26#21455825C211yesmaximal, characteristic, complemented
27#21455614C211yesmaximal, characteristic, complemented
28#21455606C211yesmaximal, characteristic, complemented
29#476×D61C211yesmaximal, characteristic, complemented
30#21454943C211yesmaximal, characteristic, complemented
31C61×#3371C211yesmaximal, characteristic, complemented
32#16840490C2211yescharacteristic, complemented
33#16840487—21no—
34#16840486C2211yescharacteristic, complemented
35#16840485C2211yescharacteristic, complemented
36#16840484—21no—
37#16840472C2211yescharacteristic
38#16840472C2211yescharacteristic
39#16840462—21no—
40#16840462C2211yescharacteristic
41#16840462C2211yescharacteristic
42#16840453C2211yescharacteristic
43#16840453C2211yescharacteristic, complemented
44#16840450C2211yescharacteristic
45#16840450C2211yescharacteristic, complemented
46#16840444—21no—
47#16840444—21no—
48#16840440—21no—
49#16840440—21no—
50#16840405—21no—
51#16840405C2211yescharacteristic
52#16840405C2211yescharacteristic
53#16840397C2211yescharacteristic
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#16840310C2211yescharacteristic
63C4⋊Q8×D61C2211yescharacteristic, complemented
64#16840291—21no—
65#16840291C2211yescharacteristic
66#16840291C2211yescharacteristic
67#16840270—21no—
68#16840270—21no—
69#16840238—21no—
70C4×#11758226C2211yescharacteristic
71C4×#11758226C2211yescharacteristic
72C4×D4×D61—21no—
73C4×D4×D61C2211yescharacteristic
74C4×D4×D61C2211yescharacteristic
75#16840172C2211yescharacteristic, complemented
76#16840171C2211yescharacteristic, complemented
77#16840171C2211yescharacteristic, complemented
78#16840168C2211yescharacteristic, complemented
79#16840164C2211yescharacteristic, complemented
80#16840161C2211yescharacteristic, complemented
81#16840126C2211yescharacteristic
82#16840121C2211yescharacteristic, complemented
83#16840116C2211yescharacteristic, complemented
84#16840106C2211yescharacteristic, complemented
85#16840102C2211yescharacteristic, complemented
86#16840102C2211yescharacteristic, complemented
87#16840101C2211yescharacteristic, complemented
88#16840099C2211yescharacteristic, complemented
89#16840096C2211yescharacteristic, complemented
90#16840094C2211yescharacteristic, complemented
91#16840091C2211yescharacteristic, complemented
92#16840091C2211yescharacteristic, complemented
93#16840091C2211yescharacteristic, complemented
94#16840085C2211yescharacteristic
95#16840085C2211yescharacteristic, complemented
96#16840085C2211yescharacteristic, complemented
97#16840084C2211yescharacteristic
98#16840084C2211yescharacteristic, complemented
99#16840084C2211yescharacteristic, complemented
100#16840074C2211yescharacteristic
101#16840074C2211yescharacteristic
102#16840070C2211yescharacteristic, complemented
103#16840070C2211yescharacteristic, complemented
104#16840069C2211yescharacteristic, complemented
105#16840069C2211yescharacteristic, complemented
106#16840069C2211yescharacteristic, complemented
107#16840063C2211yescharacteristic
108#16840063C2211yescharacteristic
109#16840062C2211yescharacteristic, complemented
110#16840059C2211yescharacteristic
111#16840059C2211yescharacteristic
112#16840055C2211yescharacteristic, complemented
113#16840055C2211yescharacteristic, complemented
114#16840053C2211yescharacteristic
115#16840052C2211yescharacteristic, complemented
116#16840051C2211yescharacteristic
117#16840051C2211yescharacteristic
118#16840050C2211yescharacteristic, complemented
119#16840050C2211yescharacteristic, complemented
120#16840050C2211yescharacteristic, complemented
121#16840050C2211yescharacteristic, complemented
122#16840049C2211yescharacteristic
123#16840048C2211yescharacteristic, complemented
124#16840047C2211yescharacteristic, complemented
125#16840045C2211yescharacteristic, complemented
126#16840041C2211yescharacteristic
127#16840040C2211yescharacteristic, complemented
128#16840040C2211yescharacteristic, complemented
129#16840019C2211yescharacteristic, complemented
130#16840017C2211yescharacteristic, complemented
131#16840007C2211yescharacteristic
132#16840005C2211yescharacteristic
133#16840002C2211yescharacteristic, complemented
134#16840000C2211yescharacteristic, complemented
135#16839990C2211yescharacteristic
136#16839990C2211yescharacteristic, complemented
137#16839990C2211yescharacteristic, complemented
138#16839988C2211yescharacteristic
139#16839988C2211yescharacteristic, complemented
140#16839988C2211yescharacteristic, complemented
141#16839981C2211yescharacteristic, complemented
142#16839981C2211yescharacteristic, complemented
143#16839970C2211yescharacteristic, complemented
144#16839966C2211yescharacteristic
145#16839965C2211yescharacteristic, complemented
146#16839965C2211yescharacteristic, complemented
147#16839959C2211yescharacteristic
148#16839927C2211yescharacteristic
149#16839923C2211yescharacteristic
150#16839914C2211yescharacteristic
151#16839914C2211yescharacteristic
152#16839911C2211yescharacteristic
153#16839911C2211yescharacteristic
154#16839893C2211yescharacteristic, complemented
155#16839867C2211yescharacteristic, complemented
156#16839864C2211yescharacteristic
157#16839864C2211yescharacteristic
158#16839862C2211yescharacteristic, complemented
159#16839860C2211yescharacteristic
160#16839860C2211yescharacteristic
161C4×#11758190C2211yescharacteristic
162C4×#11758201C2211yescharacteristic
163C4×#11758200C2211yescharacteristic, complemented
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#16839757C2211yescharacteristic
185#16839757C2211yescharacteristic
186#102×D61C2211yescharacteristic
187#102×D61C2211yescharacteristic
188C61×#559C2211yescharacteristic
189C61×#557C2211yescharacteristic, complemented
190C61×#490C2211yescharacteristic
191C61×#489C2211yescharacteristic, complemented
192C61×#488C2211yescharacteristic, complemented
193C61×#479C2211yescharacteristic, complemented
194C61×#478C2211yescharacteristic, complemented
195C61×#476C2211yescharacteristic, complemented
196C61×#464C2211yescharacteristic, complemented
197C61×#464C2211yescharacteristic, complemented
198C61×#460C2211yescharacteristic
199C61×#446C2211yescharacteristic, complemented
200C61×#441C2211yescharacteristic, complemented
201C61×#440C2211yescharacteristic, complemented
202C4×SD16×C61C2211yescharacteristic, complemented
203C2×#11758226D411yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758224—21no—
206C2×Q8×D61—21no—
207C2×D4×D61—21no—
208C2×D4×D61C2311yescharacteristic
209C2×D4×D61C2311yescharacteristic
210C22×C4×D61—21no—
211C22×C4×D61—21no—
212C2×#11758202C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758200C2311yescharacteristic
215C2×#11758200C2311yescharacteristic
216C2×#11758201C2311yescharacteristic
217C2×#11758189C2311yescharacteristic
218C2×#11758189C2311yescharacteristic
219C2×C8×D61C2311yescharacteristic
220C2×C8×D61C2311yescharacteristic
221C2×C8×D61C2311yescharacteristic
222C2×C8×D61C2311yescharacteristic
223#14519777C2311yescharacteristic
224#14519777C2311yescharacteristic
225#14519776—21no—
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519775—21no—
230#14519775—21no—
231#14519775C2311yescharacteristic
232#14519772—21no—
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519772—21no—
238#14519771—21no—
239#14519771—21no—
240#14519770—21no—
241#14519770—21no—
242#14519770—21no—
243#14519770—21no—
244#14519769—21no—
245#14519769C2311yescharacteristic
246#14519769C2311yescharacteristic
247#14519769C2311yescharacteristic
248#14519769C2311yescharacteristic
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#14519765—21no—
260#14519764—21no—
261#14519762—21no—
262#14519762—21no—
263#14519762—21no—
264#14519762—21no—
265#14519760—21no—
266#14519760—21no—
267#14519759—21no—
268#14519759—21no—
269#14519759—21no—
270#14519759—21no—
271#14519757C2311yescharacteristic
272#14519757C2311yescharacteristic
273#14519757C2311yescharacteristic
274#14519755—21no—
275#14519755—21no—
276#14519755—21no—
277#14519755—21no—
278#14519755—21no—
279#14519755—21no—
280#14519755—21no—
281#14519755—21no—
282#14519755—21no—
283#14519755—21no—
284#14519755—21no—
285#14519753—21no—
286#14519753C2311yescharacteristic
287#14519753C2311yescharacteristic
288#14519753C2311yescharacteristic
289#14519753C2311yescharacteristic
290#14519753C2311yescharacteristic
291#14519750—21no—
292#14519750—21no—
293#14519750—21no—
294#14519750—21no—
295#14519748—21no—
296#14519748—21no—
297#14519748C2311yescharacteristic
298#14519748C2311yescharacteristic
299#14519748C2311yescharacteristic
300#14519748C2311yescharacteristic
301#14519747—21no—
302#14519747—21no—
303#14519745—21no—
304#14519745—21no—
305Q8×Dic61—21no—
306Q8×Dic61D411yescharacteristic
307Q8×Dic61C2311yescharacteristic
308C4×Dic122—21no—
309C4×Dic122—21no—
310C4×Dic122—21no—
311C4×Dic122—21no—
312C4×Dic122C2311yescharacteristic
313C4×Dic122C2311yescharacteristic
314C4×Dic122C2311yescharacteristic
315#14519742—21no—
316#14519742—21no—
317#14519742—21no—
318#14519742—21no—
319#14519742—21no—
320C4×D244—21no—
321C4×D244—21no—
322C4×D244C2311yescharacteristic
323C4×D244C2311yescharacteristic
324C4×D244C2311yescharacteristic
325C4×D244C2311yescharacteristic
326C4×D244C2311yescharacteristic
327C4×D244C2311yescharacteristic
328D4×Dic61—21no—
329D4×Dic61C2311yescharacteristic
330D4×Dic61C2311yescharacteristic
331#14519739—21no—
332#14519739D411yescharacteristic
333#14519739D411yescharacteristic
334#14519739D411yescharacteristic
335#14519739C2311yescharacteristic
336C4×C22⋊D61—21no—
337C4×C22⋊D61—21no—
338C4×C22⋊D61—21no—
339C4×C22⋊D61—21no—
340#14519737—21no—
341#14519737—21no—
342#14519737—21no—
343#14519737—21no—
344#14519735—21no—
345#14519735—21no—
346#14519735—21no—
347#14519735D411yescharacteristic
348#14519735D411yescharacteristic
349#14519735D411yescharacteristic
350#14519735C2311yescharacteristic
351#14519735C2311yescharacteristic
352#14519735C2311yescharacteristic
353#14519735C2311yescharacteristic
354#14519735C2311yescharacteristic
355#14519734—21no—
356#14519734—21no—
357#14519734—21no—
358#14519734—21no—
359#14519734—21no—
360#14519733—21no—
361#14519733—21no—
362C4⋊C4×D61—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61C2311yescharacteristic
365C4⋊C4×D61C2311yescharacteristic
366C4⋊C4×D61C2311yescharacteristic
367C4⋊C4×D61C2311yescharacteristic
368C22⋊C4×D61—21no—
369C22⋊C4×D61—21no—
370C22⋊C4×D61—21no—
371C22⋊C4×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#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
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×Q16×C61C2311yescharacteristic
436C2×SD16×C61C2311yescharacteristic
437C2×SD16×C61C2311yescharacteristic
438C4⋊Q8×C61—21no—
439C4⋊Q8×C61C2311yescharacteristic
440#127×C61C2311yescharacteristic
441#125×C61—21no—
442#125×C61—21no—
443#125×C61C2311yescharacteristic
444#125×C61C2311yescharacteristic
445#124×C61—21no—
446#124×C61C2311yescharacteristic
447#124×C61C2311yescharacteristic
448#123×C61—21no—
449#123×C61—21no—
450C4×Q8×C61—21no—
451C4×Q8×C61C2311yescharacteristic
452C4×Q8×C61C2311yescharacteristic
453C4×Q8×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic
455C4×Q8×C61C2311yescharacteristic
456C4×D4×C61—21no—
457C4×D4×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
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#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×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×C61C2×D411yescharacteristic
482C2×Q8×C61C2411yescharacteristic
483C2×Q8×C61C2411yescharacteristic
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61C2411yescharacteristic
487C2×D4×C61C2411yescharacteristic
488C22×C4×C61—21no—
489C22×C4×C61—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—22no—
499#11758226—42no—
500#11758226—41no—
501Q8×D61—44no—
502#11758224—82no—
503D4×D61—22no—
504D4×D61—22no—
505D4×D61—41no—
506D4×D61—41no—
507D4×D61—44no—
508C2×D244—21no—
509C2×D244C2×D411yescharacteristic
510C2×D244C2×D411yescharacteristic
511C2×D244C2×D411yescharacteristic
512C2×D244C2411yescharacteristic
513C2×C4×D61—21no—
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×Dic122—21no—
538C2×Dic122C2411yescharacteristic
539Q16×C61—41no—
540SD16×C61—41no—
541SD16×C61—41no—
542C2×C8×C61C2411yescharacteristic
543C2×C8×C61C2411yescharacteristic
544C2×C8×C61C2411yescharacteristic
545C2×C8×C61C2411yescharacteristic
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×C61C2×D411yescharacteristic
556C4⋊C4×C61C2×D411yescharacteristic
557C4⋊C4×C61C2×D411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C22⋊C4×C61—21no—
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C42×C61—21no—
569C42×C61—21no—
570C42×C61—21no—
571C42×C61—21no—
572C42×C61C2411yescharacteristic
573C42×C61C2411yescharacteristic
574C42×C61C2411yescharacteristic
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581#11758202—41no—
582#11758201—22no—
583#11758200—41no—
584#11758200—41no—
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#11758198C2×D411yescharacteristic
603#11758198C2×D411yescharacteristic
604#11758198C2×D411yescharacteristic
605#11758198C2×D411yescharacteristic
606#11758198C2×D411yescharacteristic
607#11758198C2×D411yescharacteristic
608C4⋊Dic61—21no—
609C4⋊Dic61—21no—
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—
646#11758196—21no—
647#11758196—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×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—21no—
690Q8×C61—21no—
691Q8×C61—41no—
692Q8×C61—42no—
693D4×C61—21no—
694D4×C61—21no—
695D4×C61—21no—
696D4×C61—21no—
697D4×C61—42no—
698D4×C61—81no—
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—81no—
706C2×C4×C61—81no—
707C2×C4×C61C22×D411yescharacteristic
708C2×C4×C61C22×D411yescharacteristic
709C2×C4×C61C22×D411yescharacteristic
710C2×C4×C61C22×D411yescharacteristic
711C2×C4×C61C22×D411yescharacteristic
712C2×C4×C61C22×D411yescharacteristic
713C2×C4×C61C2511yescharacteristic
714C22⋊D61—42no—
715C22⋊D61—42no—
716C22⋊D61—42no—
717C22⋊D61—42no—
718C22⋊D61—81no—
719C22⋊D61—81no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—42no—
728C2×Dic61—42no—
729C2×Dic61C22×D411yescharacteristic
730C2×Dic61C22×D411yescharacteristic
731C2×Dic61C22×D411yescharacteristic
732C2×Dic61C22×D411yescharacteristic
733C2×Dic61C22×D411yescharacteristic
734D244—22no—
735D244—22no—
736D244—21no—
737D244—41no—
738D244—42no—
739D2442−1+412yes—
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—42no—
757C4×D61—81no—
758C4×D61—81no—
759C4×D61—81no—
760C4×D61—81no—
761Dic122—21no—
762Dic122—21no—
763Dic122—42no—
764Dic122—42no—
765Dic122—42no—
766Dic122—42no—
767Dic122—81no—
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—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—22no—
789C2×D61—21no—
790C2×D61—21no—
791C2×D61—21no—
792C2×D61—21no—
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×C61C2×2−1+411yescharacteristic
811C4×C61#58511yescharacteristic
812Dic61—21no—
813Dic61—21no—
814Dic61—21no—
815Dic61—21no—
816Dic61—41no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822Dic61—41no—
823Dic61#57712yes—
824#3509—611no—
825#3481—611no—
826#3388—611no—
827#3388—611no—
828#3371—611no—
829#3371D6111yescharacteristic, complemented
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—81no—
856C2×C61—81no—
857C2×C61#348911yescharacteristic
858C2×C61C2×#57511yescharacteristic
859C2×C61C2×#57711yescharacteristic
860D61—22no—
861D61—41no—
862D61—41no—
863D61—42no—
864#559C2×D6111yescharacteristic
865#557—611no—
866#557—1221no—
867#557C2×D6111yescharacteristic, complemented
868#556—611no—
869#556—611no—
870#556—1221no—
871#554—611no—
872#554—611no—
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#501—611no—
912#501—611no—
913#499—611no—
914#499—611no—
915#490—611no—
916#490C2×D6111yescharacteristic
917#489—611no—
918#489C2×D6111yescharacteristic, complemented
919#488—611no—
920#488C2×D6111yescharacteristic, complemented
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#479—611no—
944#479C2×D6111yescharacteristic, complemented
945#478—611no—
946#478—611no—
947#478—611no—
948#478—611no—
949#478—611no—
950#478C2×D6111yescharacteristic, complemented
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, complemented
963#475—611no—
964#475—611no—
965#475—611no—
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#464C2×D6111yescharacteristic, complemented
984#464C2×D6111yescharacteristic, complemented
985#462—611no—
986#461—611no—
987#461—611no—
988#461—611no—
989#460—611no—
990#460C2×D6111yescharacteristic
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#441C2×D6111yescharacteristic, complemented
1001#440—611no—
1002#440—611no—
1003#440—611no—
1004#440—611no—
1005#440—611no—
1006#440C2×D6111yescharacteristic, complemented
1007C4×SD16—611no—
1008C4×SD16—611no—
1009C4×SD16—611no—
1010C4×SD16C2×D6111yescharacteristic, complemented
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×Q16C22×D6111yescharacteristic
1047C2×SD16—611no—
1048C2×SD16—611no—
1049C2×SD16—611no—
1050C2×SD16—611no—
1051C2×SD16C22×D6111yescharacteristic
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—611no—
1066C4⋊Q8—1221no—
1067C4⋊Q8—1221no—
1068C4⋊Q8—1221no—
1069C4⋊Q8C22×D6111yescharacteristic
1070#127C22×D6111yescharacteristic
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—611no—
1088#125—611no—
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#125—1221no—
1098#125—1221no—
1099#125C22×D6111yescharacteristic
1100#125C22×D6111yescharacteristic
1101#124—21no—
1102#124—1221no—
1103#124—1221no—
1104#124—1221no—
1105#124C22×D6111yescharacteristic
1106#124C22×D6111yescharacteristic
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—
1118#123—1221no—
1119C22⋊Q8—611no—
1120C22⋊Q8—611no—
1121C22⋊Q8—611no—
1122C22⋊Q8—611no—
1123C22⋊Q8—611no—
1124C22⋊Q8—611no—
1125C22⋊Q8—611no—
1126C22⋊Q8—611no—
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⋊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—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×Q8—1221no—
1169C4×Q8C22×D6111yescharacteristic
1170C4×Q8C22×D6111yescharacteristic
1171C4×Q8C22×D6111yescharacteristic
1172C4×Q8C22×D6111yescharacteristic
1173C4×Q8C22×D6111yescharacteristic
1174C4×D4—21no—
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×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—611no—
1220C2×C4⋊C4—611no—
1221C2×C4⋊C4—611no—
1222C2×C4⋊C4—611no—
1223C2×C4⋊C4—1221no—
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#107—611no—
1240#107—611no—
1241#107—611no—
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#106—611no—
1253#106—611no—
1254#106—611no—
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#103C22×D6111yescharacteristic
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#102C22×D6111yescharacteristic
1294#102C22×D6111yescharacteristic
1295#102C22×D6111yescharacteristic
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—2442no—
1316#41—2441no—
1317C2×Q8—21no—
1318C2×Q8—611no—
1319C2×Q8—1221no—
1320C2×Q8—1221no—
1321C2×Q8—1221no—
1322C2×Q8—1221no—
1323C2×Q8—1221no—
1324C2×Q8—2444no—
1325C2×Q8D4×D6111yescharacteristic
1326C2×Q8C23×D6111yescharacteristic
1327C2×Q8C23×D6111yescharacteristic
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—611no—
1331C2×D4—611no—
1332C2×D4—611no—
1333C2×D4—611no—
1334C2×D4—1221no—
1335C2×D4—1221no—
1336C2×D4—1221no—
1337C2×D4—1222no—
1338C2×D4—1222no—
1339C2×D4—1221no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—2441no—
1344C2×D4—2441no—
1345C2×D4—2444no—
1346C2×D4C23×D6111yescharacteristic
1347C2×D4C23×D6111yescharacteristic
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—611no—
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—1221no—
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—41no—
1373Q16—2441no—
1374SD16—41no—
1375SD16—41no—
1376SD16—1222no—
1377SD16—1222no—
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—611no—
1404C4⋊C4—611no—
1405C4⋊C4—611no—
1406C4⋊C4—611no—
1407C4⋊C4—611no—
1408C4⋊C4—611no—
1409C4⋊C4—611no—
1410C4⋊C4—611no—
1411C4⋊C4—611no—
1412C4⋊C4—1221no—
1413C4⋊C4—1221no—
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⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4D4×D6111yescharacteristic
1444C4⋊C4D4×D6111yescharacteristic
1445C4⋊C4D4×D6111yescharacteristic
1446C4⋊C4C23×D6111yescharacteristic
1447C4⋊C4C23×D6111yescharacteristic
1448C4⋊C4C23×D6111yescharacteristic
1449C4⋊C4C23×D6111yescharacteristic
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—
1483C22⋊C4—1221no—
1484C22⋊C4—1221no—
1485C42—21no—
1486C42—21no—
1487C42—21no—
1488C42—21no—
1489C42—611no—
1490C42—611no—
1491C42—611no—
1492C42—611no—
1493C42—611no—
1494C42—611no—
1495C42—611no—
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—21no—
1510C23—611no—
1511C23—611no—
1512C23—611no—
1513C23—1221no—
1514C23—4881no—
1515C23—4881no—
1516C23—2442no—
1517C23—2442no—
1518C23—2442no—
1519C23—2442no—
1520Q8—21no—
1521Q8—21no—
1522Q8—21no—
1523Q8—21no—
1524Q8—41no—
1525Q8—42no—
1526Q8—1221no—
1527Q8—1221no—
1528Q8—4881no—
1529Q8—2442no—
1530Q8—2442no—
1531Q8—2442no—
1532Q8—2442no—
1533D4—21no—
1534D4—21no—
1535D4—21no—
1536D4—21no—
1537D4—42no—
1538D4—81no—
1539D4—612no—
1540D4—1222no—
1541D4—1222no—
1542D4—1221no—
1543D4—4881no—
1544D4—4881no—
1545D4—2441no—
1546D4—2442no—
1547D4—2442no—
1548D4—2442no—
1549D4—2442no—
1550D4—2442no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—81no—
1558C2×C4—81no—
1559C2×C4—611no—
1560C2×C4—611no—
1561C2×C4—611no—
1562C2×C4—611no—
1563C2×C4—611no—
1564C2×C4—1222no—
1565C2×C4—1222no—
1566C2×C4—1222no—
1567C2×C4—1222no—
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—1221no—
1580C2×C4—1221no—
1581C2×C4—4881no—
1582C2×C4—4881no—
1583C2×C4—4881no—
1584C2×C4—4881no—
1585C2×C4—2441no—
1586C2×C4—2441no—
1587C2×C4—2442no—
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—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—612no—
1616C22—1221no—
1617C22—1221no—
1618C22—1221no—
1619C22—1221no—
1620C22—1222no—
1621C22—1221no—
1622C22—1221no—
1623C22—1221no—
1624C22—1221no—
1625C22—4884no—
1626C22—4884no—
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—612no—
1643C4—1221no—
1644C4—1221no—
1645C4—1221no—
1646C4—1221no—
1647C4—2441no—
1648C4—2441no—
1649C4—2441no—
1650C4—2441no—
1651C4—2441no—
1652C4—2441no—
1653C4—2441no—
1654C42−1+4×D6111yescharacteristic
1655C4#1684059811yescharacteristic
1656C2—81no—
1657C2—81no—
1658C2—1222no—
1659C2—2441no—
1660C2—2441no—
1661C2—2442no—
1662C2#2145949811yescharacteristic
1663C2#575×D6111yescharacteristic
1664C2#577×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3371C2
socleC22×C61C23×D4
prime radical#21459428C2
hypercenter#3371D61
hypocenterC61#62126
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3371

Complements

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

NH ≅ G/Ntype
1. #21459702C2semidirect
3. #21458766C2semidirect
4. #21458758C2semidirect
5. #21458581C2semidirect
6. #21458371C2semidirect
7. #21458369C2semidirect
8. #21458281C2semidirect
9. #21458279C2semidirect
10. #21458205C2semidirect
11. #21458203C2semidirect
12. #21457862C2semidirect
13. #21457854C2semidirect
14. #21457847C2semidirect
15. #21457839C2semidirect
16. #21457661C2semidirect
17. #21457653C2semidirect
18. #21457189C2semidirect
19. #21457153C2semidirect
20. #21457133C2semidirect
21. #21457036C2semidirect
22. #21457012C2semidirect
23. #21456993C2semidirect
24. #21455979C2semidirect
25. #21455916C2semidirect
26. #21455825C2semidirect
27. #21455614C2semidirect
28. #21455606C2semidirect
29. #476×D61C2semidirect
30. #21454943C2semidirect
31. C61×#3371C2semidirect
32. #16840490C22semidirect
34. #16840486C22semidirect
35. #16840485C22semidirect
43. #16840453C22semidirect
45. #16840450C22semidirect
57. #16840318C22semidirect
58. #16840318C22semidirect
59. #16840316C22semidirect
60. #16840316C22semidirect
61. #16840316C22semidirect
63. C4⋊Q8×D61C22semidirect
75. #16840172C22semidirect
76. #16840171C22semidirect
77. #16840171C22semidirect
78. #16840168C22semidirect
79. #16840164C22semidirect
80. #16840161C22semidirect
82. #16840121C22semidirect
83. #16840116C22semidirect
84. #16840106C22semidirect
85. #16840102C22semidirect
86. #16840102C22semidirect
87. #16840101C22semidirect
88. #16840099C22semidirect
89. #16840096C22semidirect
90. #16840094C22semidirect
91. #16840091C22semidirect
92. #16840091C22semidirect
93. #16840091C22semidirect
95. #16840085C22semidirect
96. #16840085C22semidirect
98. #16840084C22semidirect
99. #16840084C22semidirect
102. #16840070C22semidirect
103. #16840070C22semidirect
104. #16840069C22semidirect
105. #16840069C22semidirect
106. #16840069C22semidirect
109. #16840062C22semidirect
112. #16840055C22semidirect
113. #16840055C22semidirect
115. #16840052C22semidirect
118. #16840050C22semidirect
119. #16840050C22semidirect
120. #16840050C22semidirect
121. #16840050C22semidirect
123. #16840048C22semidirect
124. #16840047C22semidirect
125. #16840045C22semidirect
127. #16840040C22semidirect
128. #16840040C22semidirect
129. #16840019C22semidirect
130. #16840017C22semidirect
133. #16840002C22semidirect
134. #16840000C22semidirect
136. #16839990C22semidirect
137. #16839990C22semidirect
139. #16839988C22semidirect
140. #16839988C22semidirect
141. #16839981C22semidirect
142. #16839981C22semidirect
143. #16839970C22semidirect
145. #16839965C22semidirect
146. #16839965C22semidirect
154. #16839893C22semidirect
155. #16839867C22semidirect
158. #16839862C22semidirect
163. C4×#11758200C22semidirect
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
189. C61×#557C22semidirect
191. C61×#489C22semidirect
192. C61×#488C22semidirect
193. C61×#479C22semidirect
194. C61×#478C22semidirect
195. C61×#476C22semidirect
196. C61×#464C22semidirect
197. C61×#464C22semidirect
199. C61×#446C22semidirect
200. C61×#441C22semidirect
201. C61×#440C22semidirect
202. C4×SD16×C61C22semidirect
829. #3371D61semidirect
867. #557C2×D61semidirect
918. #489C2×D61semidirect
920. #488C2×D61semidirect
944. #479C2×D61semidirect
950. #478C2×D61semidirect
962. #476C2×D61semidirect
983. #464C2×D61semidirect
984. #464C2×D61semidirect
998. #446C2×D61semidirect
1000. #441C2×D61semidirect
1006. #440C2×D61semidirect
1010. C4×SD16C2×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
#214594282
#214587662
#214587582
#214585812
#214583712
#214583692
#214582812
#214582792
#214582052
#214582032
#214578622
#214578542
#214578472
#214578392
#214576612
#214576532
#214571892
#214571532
#214571332
#214570362
#214570122
#214569932
#214559792
#214559162
#214558252
#214556142
#214556062
#476×D612
#214549432
C61×#33712
#6212661