Finite Group Databasebeta

← #25987471

Subgroups — #25987471

Order 11008.

1666 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149079C211yesmaximal, characteristic, complemented
2#19148394C211yesmaximal, characteristic, complemented
3#19147555C211yesmaximal, characteristic, complemented
4#19147549C211yesmaximal, characteristic, complemented
5#19147538C211yesmaximal, characteristic, complemented
6#19147536C211yesmaximal, characteristic, complemented
7#19147519C211yesmaximal, characteristic, complemented
8#19147517C211yesmaximal, characteristic, complemented
9#19147508C211yesmaximal, characteristic, complemented
10#19147506C211yesmaximal, characteristic, complemented
11#19147417C211yesmaximal, characteristic, complemented
12#19147417C211yesmaximal, characteristic, complemented
13#19147415C211yesmaximal, characteristic, complemented
14#19147415C211yesmaximal, characteristic, complemented
15#19147372C211yesmaximal, characteristic, complemented
16#19147318C211yesmaximal, characteristic, complemented
17#19147317C211yesmaximal, characteristic, complemented
18#19145885C211yesmaximal, characteristic, complemented
19#19145883C211yesmaximal, characteristic, complemented
20#19145858C211yesmaximal, characteristic, complemented
21#19145856C211yesmaximal, characteristic, complemented
22#19145840C211yesmaximal, characteristic, complemented
23#19145804C211yesmaximal, characteristic, complemented
24#19144845C211yesmaximal, characteristic, complemented
25#19144845C211yesmaximal, characteristic, complemented
26#19144785C211yesmaximal, characteristic
27#19144783C211yesmaximal, characteristic
28#19144737C211yesmaximal, characteristic
29#19144693C211yesmaximal, characteristic, complemented
30#19143698C211yesmaximal, characteristic, complemented
31C43×#3372C211yesmaximal, characteristic, complemented
32#14583653—21no—
33#14583653—21no—
34Q8×Dic86C2211yescharacteristic, complemented
35#14583625C2211yescharacteristic, complemented
36#14583625C2211yescharacteristic, complemented
37#14583623C2211yescharacteristic, complemented
38#14583623C2211yescharacteristic, complemented
39#14583623C2211yescharacteristic, complemented
40#14583622—21no—
41#14583609C2211yescharacteristic
42#14583609C2211yescharacteristic, complemented
43#14583608C2211yescharacteristic
44#14583608C2211yescharacteristic
45#14583605C2211yescharacteristic
46#14583605C2211yescharacteristic
47#14583604—21no—
48#14583603—21no—
49#14583603—21no—
50#14583587—21no—
51D4×Dic86C2211yescharacteristic
52#14583564C2211yescharacteristic
53#14583562—21no—
54#14583529—21no—
55#14583529C2211yescharacteristic
56#14583526C2211yescharacteristic
57#14583524—21no—
58#14583524—21no—
59#14583521C2211yescharacteristic
60#14583521C2211yescharacteristic
61#14583510C2211yescharacteristic
62#14583510C2211yescharacteristic
63#14583508—21no—
64#14583508—21no—
65#14583507—21no—
66#14583455C2211yescharacteristic
67#14583454C2211yescharacteristic
68#14583453C2211yescharacteristic
69#14583436C2211yescharacteristic
70C2×#13063303—21no—
71C22⋊Q8×D43—21no—
72#14583371C2211yescharacteristic
73#14583371C2211yescharacteristic
74C4×D4×D43C2211yescharacteristic
75#14583309C2211yescharacteristic, complemented
76#14583308C2211yescharacteristic, complemented
77#14583308C2211yescharacteristic, complemented
78#14583307C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583306C2211yescharacteristic, complemented
81#14583306C2211yescharacteristic, complemented
82#14583305C2211yescharacteristic, complemented
83#14583303C2211yescharacteristic, complemented
84#14583303C2211yescharacteristic, complemented
85#14583301C2211yescharacteristic, complemented
86#14583298C2211yescharacteristic, complemented
87#14583267C2211yescharacteristic, complemented
88#14583267C2211yescharacteristic, complemented
89#14583260C2211yescharacteristic, complemented
90#14583260C2211yescharacteristic, complemented
91#14583260C2211yescharacteristic, complemented
92#14583260C2211yescharacteristic, complemented
93#14583255C2211yescharacteristic, complemented
94#14583255C2211yescharacteristic, complemented
95#14583249C2211yescharacteristic, complemented
96#14583239C2211yescharacteristic
97#14583239C2211yescharacteristic
98#14583239C2211yescharacteristic
99#14583238C2211yescharacteristic
100#14583238C2211yescharacteristic
101#14583238C2211yescharacteristic
102#14583233C2211yescharacteristic
103#14583233C2211yescharacteristic
104#14583228C2211yescharacteristic
105#14583226C2211yescharacteristic
106#14583225C2211yescharacteristic
107#14583214C2211yescharacteristic
108#14583208C2211yescharacteristic, complemented
109#14583208C2211yescharacteristic, complemented
110#14583206C2211yescharacteristic, complemented
111#14583206C2211yescharacteristic, complemented
112#14583204C2211yescharacteristic, complemented
113#14583204C2211yescharacteristic, complemented
114#14583202C2211yescharacteristic
115#14583201C2211yescharacteristic
116#14583200C2211yescharacteristic
117#14583200C2211yescharacteristic
118#14583200C2211yescharacteristic, complemented
119#14583200C2211yescharacteristic, complemented
120#14583199C2211yescharacteristic
121#14583199C2211yescharacteristic
122#14583196C2211yescharacteristic, complemented
123#14583196C2211yescharacteristic, complemented
124#14583194C2211yescharacteristic, complemented
125#14583192C2211yescharacteristic, complemented
126#14583192C2211yescharacteristic, complemented
127#14583192C2211yescharacteristic, complemented
128#14583192C2211yescharacteristic, complemented
129#14583188C2211yescharacteristic
130#14583187C2211yescharacteristic
131#14583182C2211yescharacteristic, complemented
132#14583182C2211yescharacteristic, complemented
133#14583182C2211yescharacteristic, complemented
134#14583182C2211yescharacteristic, complemented
135#14583180C2211yescharacteristic
136#14583180C2211yescharacteristic, complemented
137#14583179C2211yescharacteristic
138#14583178C2211yescharacteristic
139#14583177C2211yescharacteristic
140#14583176C2211yescharacteristic, complemented
141#14583117C2211yescharacteristic
142#14583117C2211yescharacteristic
143#14583117C2211yescharacteristic
144#14583116C2211yescharacteristic
145#14583116C2211yescharacteristic
146#14583116C2211yescharacteristic
147#14583101C2211yescharacteristic
148#14583101C2211yescharacteristic
149#14583101C2211yescharacteristic
150#14583048C2211yescharacteristic
151#14583048C2211yescharacteristic
152#14583048C2211yescharacteristic
153#14583034C2211yescharacteristic
154#14583030C2211yescharacteristic, complemented
155#14583029C2211yescharacteristic, complemented
156#14583028C2211yescharacteristic, complemented
157#14583028C2211yescharacteristic, complemented
158#14583027C2211yescharacteristic, complemented
159#14583027C2211yescharacteristic, complemented
160#14583026C2211yescharacteristic, complemented
161#14583012C2211yescharacteristic
162#14583012C2211yescharacteristic
163#14583009C2211yescharacteristic
164#14583009C2211yescharacteristic
165#14583002C2211yescharacteristic
166#14583002C2211yescharacteristic
167#14583002C2211yescharacteristic
168#14583002C2211yescharacteristic
169#14583000C2211yescharacteristic
170#14583000C2211yescharacteristic
171#14583000C2211yescharacteristic
172#14583000C2211yescharacteristic
173#14582997C2211yescharacteristic
174#14582997C2211yescharacteristic
175SD16×Dic43C2211yescharacteristic
176SD16×Dic43C2211yescharacteristic
177C4×#10621884C2211yescharacteristic
178#14582984C2211yescharacteristic
179#14582984C2211yescharacteristic
180C4×D344C2211yescharacteristic
181C4×#10621882C2211yescharacteristic
182#14582961C2211yescharacteristic
183#14582959C2211yescharacteristic
184#14582959C2211yescharacteristic
185#14582958C2211yescharacteristic
186#14582955C2211yescharacteristic
187#14582954C2211yescharacteristic
188C43×#557C2211yescharacteristic, complemented
189C43×#554C2211yescharacteristic
190C43×#491C2211yescharacteristic, complemented
191C43×#491C2211yescharacteristic, complemented
192C43×#487C2211yescharacteristic, complemented
193C43×#479C2211yescharacteristic, complemented
194C43×#479C2211yescharacteristic, complemented
195C43×#477C2211yescharacteristic, complemented
196C43×#461C2211yescharacteristic
197C43×#461C2211yescharacteristic
198C43×#461C2211yescharacteristic
199C43×#446C2211yescharacteristic, complemented
200C43×#440C2211yescharacteristic
201C43×#440C2211yescharacteristic
202C4×SD16×C43C2211yescharacteristic
203C22×Dic86—21no—
204C2×Q8×D43—21no—
205C2×D4×D43C2311yescharacteristic
206C22×C4×D43—21no—
207C2×#10621884C2311yescharacteristic
208C2×#10621884C2311yescharacteristic
209C2×#10621884C2311yescharacteristic
210C2×D344C2311yescharacteristic
211C2×#10621882C2311yescharacteristic
212#13063325—21no—
213#13063325C2311yescharacteristic
214#13063325C2311yescharacteristic
215#13063324—21no—
216#13063324—21no—
217#13063324—21no—
218#13063324—21no—
219#13063324—21no—
220#13063324D411yescharacteristic
221#13063324C2311yescharacteristic
222#13063324C2311yescharacteristic
223#13063324C2311yescharacteristic
224#13063324C2311yescharacteristic
225#13063324C2311yescharacteristic
226#13063324C2311yescharacteristic
227#13063323—21no—
228#13063323D411yescharacteristic
229#13063320—21no—
230#13063320—21no—
231#13063320—21no—
232#13063320—21no—
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063319—21no—
241#13063319—21no—
242#13063317—21no—
243#13063317—21no—
244#13063317C2311yescharacteristic
245#13063317C2311yescharacteristic
246#13063317C2311yescharacteristic
247#13063317C2311yescharacteristic
248#13063316—21no—
249#13063316—21no—
250#13063316—21no—
251#13063316C2311yescharacteristic
252#13063316C2311yescharacteristic
253#13063316C2311yescharacteristic
254#13063315—21no—
255#13063315—21no—
256#13063315—21no—
257#13063315—21no—
258#13063315—21no—
259#13063315—21no—
260#13063315D411yescharacteristic
261#13063315D411yescharacteristic
262#13063314C2311yescharacteristic
263#13063314C2311yescharacteristic
264#13063314C2311yescharacteristic
265#13063313—21no—
266#13063313—21no—
267#13063310—21no—
268#13063310—21no—
269#13063310—21no—
270#13063305—21no—
271#13063305—21no—
272#13063305—21no—
273#13063305—21no—
274#13063305—21no—
275#13063305—21no—
276#13063305—21no—
277#13063305D411yescharacteristic
278#13063304—21no—
279#13063304—21no—
280#13063304—21no—
281#13063303—21no—
282#13063303—21no—
283#13063303—21no—
284#13063303—21no—
285#13063303—21no—
286#13063303—21no—
287#13063303—21no—
288#13063303—21no—
289#13063303—21no—
290#13063303—21no—
291#13063303—21no—
292#13063303—21no—
293#13063303—21no—
294#13063303—21no—
295#13063303—21no—
296#13063303—21no—
297#13063303D411yescharacteristic
298#13063303D411yescharacteristic
299#13063302—21no—
300#13063302—21no—
301#13063302—21no—
302#13063302—21no—
303#13063302—21no—
304#13063302—21no—
305#13063301—21no—
306#13063301—21no—
307#13063301—21no—
308#13063301—21no—
309#13063301D411yescharacteristic
310#13063301C2311yescharacteristic
311#13063301C2311yescharacteristic
312#13063301C2311yescharacteristic
313#13063300C2311yescharacteristic
314Q8×Dic43C2311yescharacteristic
315Q8×Dic43C2311yescharacteristic
316Q8×Dic43C2311yescharacteristic
317Q8×Dic43C2311yescharacteristic
318Q8×Dic43C2311yescharacteristic
319Q8×Dic43C2311yescharacteristic
320C4×Dic86—21no—
321C4×Dic86—21no—
322C4×Dic86—21no—
323C4×Dic86C2311yescharacteristic
324C4×Dic86C2311yescharacteristic
325C4×Dic86C2311yescharacteristic
326#13063290—21no—
327#13063290—21no—
328#13063290—21no—
329C4×D172—21no—
330C4×D172C2311yescharacteristic
331C4×D172C2311yescharacteristic
332C4×D172C2311yescharacteristic
333C4×D172C2311yescharacteristic
334C4×D172C2311yescharacteristic
335C4×D172C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339#13063287C2311yescharacteristic
340#13063287C2311yescharacteristic
341#13063287C2311yescharacteristic
342C4×C22⋊D43—21no—
343C4×C22⋊D43—21no—
344C4×C22⋊D43—21no—
345(C22⋊D43)⋊C4—21no—
346(C22⋊D43)⋊C4—21no—
347(C22⋊D43)⋊C4—21no—
348#13063283—21no—
349#13063283—21no—
350#13063283—21no—
351#13063283—21no—
352#13063283C2311yescharacteristic
353#13063283C2311yescharacteristic
354#13063282—21no—
355#13063282C2311yescharacteristic
356#13063282C2311yescharacteristic
357C2×Dic43⋊C4—21no—
358C2×Dic43⋊C4—21no—
359C4⋊C4×D43—21no—
360C4⋊C4×D43—21no—
361C4⋊C4×D43—21no—
362C4⋊C4×D43—21no—
363C4⋊C4×D43C2311yescharacteristic
364C2×(C2×D43)⋊C4—21no—
365C2×(C2×D43)⋊C4—21no—
366C22⋊C4×D43—21no—
367C22⋊C4×D43—21no—
368C22⋊C4×D43—21no—
369C42×D43C2311yescharacteristic
370#13063259C2311yescharacteristic
371#13063259C2311yescharacteristic
372#13063259C2311yescharacteristic
373#13063259C2311yescharacteristic
374#13063259C2311yescharacteristic
375#13063258C2311yescharacteristic
376#13063258C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063258C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063257C2311yescharacteristic
383#13063257C2311yescharacteristic
384#13063257C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063256C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389#13063256C2311yescharacteristic
390#13063256C2311yescharacteristic
391C4⋊(C43⋊C8)C2311yescharacteristic
392C4⋊(C43⋊C8)C2311yescharacteristic
393C4⋊(C43⋊C8)C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400#13063249C2311yescharacteristic
401#13063249C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063245C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422(C2×D43)⋊C8C2311yescharacteristic
423(C2×D43)⋊C8C2311yescharacteristic
424(C2×D43)⋊C8C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426#13063236C2311yescharacteristic
427#13063236C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×SD16×C43C2311yescharacteristic
436C2×SD16×C43C2311yescharacteristic
437C2×SD16×C43C2311yescharacteristic
438C4⋊Q8×C43C2311yescharacteristic
439C4⋊Q8×C43C2311yescharacteristic
440C4⋊Q8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442#125×C43—21no—
443#125×C43—21no—
444#125×C43—21no—
445#125×C43C2311yescharacteristic
446#125×C43C2311yescharacteristic
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43—21no—
449C22⋊Q8×C43—21no—
450C4×Q8×C43—21no—
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C2×C4⋊C4×C43—21no—
459#107×C43C2311yescharacteristic
460#107×C43C2311yescharacteristic
461#106×C43C2311yescharacteristic
462C4⋊C8×C43C2311yescharacteristic
463C4⋊C8×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465#103×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#97×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C23×D43—21no—
479C2×Q8×C43—21no—
480C2×Q8×C43C2×D411yescharacteristic
481C2×Q8×C43C2411yescharacteristic
482C2×Q8×C43C2411yescharacteristic
483C2×Q8×C43C2411yescharacteristic
484C2×D4×C43C2411yescharacteristic
485C22×C4×C43—21no—
486C22×C4×C43—21no—
487C22×C4×C43—21no—
488C2×C22⋊D43—21no—
489C22×Dic43—21no—
490C22×Dic43—21no—
491C22×Dic43—21no—
492Q8×D43—82no—
493D4×D43—22no—
494D4×D43—22no—
495C2×D172—21no—
496C2×D172C2411yescharacteristic
497C2×D172C2411yescharacteristic
498C2×C4×D43—21no—
499C2×C4×D43—21no—
500C2×C4×D43—21no—
501C2×C4×D43—21no—
502C2×C4×D43—21no—
503C2×C4×D43—21no—
504C2×C4×D43—21no—
505C2×C4×D43—21no—
506C2×C4×D43—21no—
507C2×C4×D43—21no—
508C2×C4×D43—82no—
509C2×C4×D43C2×D411yescharacteristic
510C2×C4×D43C2×D411yescharacteristic
511C2×C4×D43C2411yescharacteristic
512C2×Dic86—21no—
513C2×Dic86—21no—
514C2×Dic86—21no—
515C2×Dic86—21no—
516C2×Dic86—21no—
517C2×Dic86—21no—
518C2×Dic86—21no—
519C2×Dic86—21no—
520C2×Dic86—82no—
521C2×Dic86C2×D411yescharacteristic
522C2×Dic86C2×D411yescharacteristic
523C2×Dic86C2×D411yescharacteristic
524SD16×C43—22no—
525SD16×C43—22no—
526SD16×C43—22no—
527C2×C8×C43C2411yescharacteristic
528C2×C8×C43C2411yescharacteristic
529C2×C8×C43C2411yescharacteristic
530C2×C8×C43C2411yescharacteristic
531C4⋊C4×C43—21no—
532C4⋊C4×C43—21no—
533C4⋊C4×C43—21no—
534C4⋊C4×C43—21no—
535C4⋊C4×C43—21no—
536C4⋊C4×C43—21no—
537C4⋊C4×C43—21no—
538C4⋊C4×C43—21no—
539C4⋊C4×C43—21no—
540C4⋊C4×C43—21no—
541C4⋊C4×C43—21no—
542C4⋊C4×C43—21no—
543C4⋊C4×C43—21no—
544C4⋊C4×C43—21no—
545C4⋊C4×C43C2×D411yescharacteristic
546C4⋊C4×C43C2×D411yescharacteristic
547C4⋊C4×C43C2×D411yescharacteristic
548C4⋊C4×C43C2411yescharacteristic
549C4⋊C4×C43C2411yescharacteristic
550C4⋊C4×C43C2411yescharacteristic
551C4⋊C4×C43C2411yescharacteristic
552C22⋊C4×C43—21no—
553C22⋊C4×C43—21no—
554C22⋊C4×C43—21no—
555C42×C43—21no—
556C42×C43—21no—
557C42×C43—21no—
558C42×C43C2411yescharacteristic
559C42×C43C2411yescharacteristic
560C42×C43C2411yescharacteristic
561C22⋊Dic43—21no—
562C22⋊Dic43—21no—
563C22⋊Dic43—21no—
564#10621884—22no—
565#10621884—22no—
566#10621884—22no—
567#10621882—22no—
568(C2×D43)⋊C4—21no—
569(C2×D43)⋊C4—21no—
570(C2×D43)⋊C4—21no—
571(C2×D43)⋊C4—21no—
572(C2×D43)⋊C4—21no—
573(C2×D43)⋊C4—21no—
574(C2×D43)⋊C4—21no—
575(C2×D43)⋊C4—21no—
576(C2×D43)⋊C4—21no—
577(C2×D43)⋊C4—21no—
578(C2×D43)⋊C4—21no—
579(C2×D43)⋊C4—21no—
580(C2×D43)⋊C4—21no—
581(C2×D43)⋊C4—21no—
582(C2×D43)⋊C4—21no—
583(C2×D43)⋊C4—21no—
584(C2×D43)⋊C4—21no—
585(C2×D43)⋊C4—21no—
586(C2×D43)⋊C4—21no—
587(C2×D43)⋊C4—21no—
588(C2×D43)⋊C4—21no—
589(C2×D43)⋊C4C2×D411yescharacteristic
590(C2×D43)⋊C4C2×D411yescharacteristic
591(C2×D43)⋊C4C2×D411yescharacteristic
592(C2×D43)⋊C4C2×D411yescharacteristic
593C4⋊Dic43—21no—
594C4⋊Dic43—21no—
595C4⋊Dic43—21no—
596C4⋊Dic43—21no—
597C4⋊Dic43—21no—
598C4⋊Dic43—21no—
599C4⋊Dic43—21no—
600C4⋊Dic43—21no—
601C4⋊Dic43—21no—
602C4⋊Dic43—21no—
603C4⋊Dic43—21no—
604C4⋊Dic43C2×D411yescharacteristic
605C4⋊Dic43C2×D411yescharacteristic
606C4⋊Dic43C2×D411yescharacteristic
607C4⋊Dic43C2411yescharacteristic
608C4⋊Dic43C2411yescharacteristic
609C4⋊Dic43C2411yescharacteristic
610C4⋊Dic43C2411yescharacteristic
611C4⋊Dic43C2411yescharacteristic
612C4⋊Dic43C2411yescharacteristic
613Dic43⋊C4—21no—
614Dic43⋊C4—21no—
615Dic43⋊C4—21no—
616Dic43⋊C4—21no—
617Dic43⋊C4—21no—
618Dic43⋊C4—21no—
619Dic43⋊C4—21no—
620Dic43⋊C4—21no—
621Dic43⋊C4—21no—
622Dic43⋊C4—21no—
623Dic43⋊C4—21no—
624Dic43⋊C4—21no—
625Dic43⋊C4—21no—
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4C2×D411yescharacteristic
635Dic43⋊C4C2×D411yescharacteristic
636Dic43⋊C4C2×D411yescharacteristic
637Dic43⋊C4C2×D411yescharacteristic
638Dic43⋊C4C2×D411yescharacteristic
639Dic43⋊C4C2×D411yescharacteristic
640Dic43⋊C4C2×D411yescharacteristic
641Dic43⋊C4C2×D411yescharacteristic
642Dic43⋊C4C2×D411yescharacteristic
643Dic43⋊C4C2×D411yescharacteristic
644C4×Dic43—21no—
645C4×Dic43—21no—
646C4×Dic43—21no—
647C4×Dic43—21no—
648C4×Dic43—21no—
649C4×Dic43—21no—
650C4×Dic43—21no—
651C4×Dic43—21no—
652C4×Dic43C2×D411yescharacteristic
653C4×Dic43C2×D411yescharacteristic
654C4×Dic43C2411yescharacteristic
655C4×Dic43C2411yescharacteristic
656C4×Dic43C2411yescharacteristic
657C2×C43⋊C8C2411yescharacteristic
658C2×C43⋊C8C2411yescharacteristic
659C2×C43⋊C8C2411yescharacteristic
660C2×C43⋊C8C2411yescharacteristic
661D344—22no—
662C23×C43—21no—
663C22×D43—21no—
664C22×D43—24no—
665C22×D43—21no—
666C22×D43—81no—
667C22×D43—81no—
668C22×D43C22×D411yescharacteristic
669Q8×C43—21no—
670Q8×C43—21no—
671Q8×C43—21no—
672Q8×C43—21no—
673Q8×C43—21no—
674Q8×C43—21no—
675Q8×C43—41no—
676Q8×C43—81no—
677D4×C43—21no—
678D4×C432−1+412yes—
679C2×C4×C43—21no—
680C2×C4×C43—21no—
681C2×C4×C43—21no—
682C2×C4×C43—21no—
683C2×C4×C43—21no—
684C2×C4×C43—21no—
685C2×C4×C43—21no—
686C2×C4×C43—81no—
687C2×C4×C43—81no—
688C2×C4×C43—81no—
689C2×C4×C43C22×D411yescharacteristic
690C2×C4×C43C22×D411yescharacteristic
691C2×C4×C43C22×D411yescharacteristic
692C2×C4×C43C22×D411yescharacteristic
693C2×C4×C43C22×D411yescharacteristic
694C2×C4×C43C22×D411yescharacteristic
695C2×C4×C43C2511yescharacteristic
696C22⋊D43—24no—
697C2×Dic43—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—21no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—42no—
704C2×Dic43—81no—
705C2×Dic43—81no—
706C2×Dic43C22×D411yescharacteristic
707C2×Dic43C22×D411yescharacteristic
708C2×Dic43C22×D411yescharacteristic
709C2×Dic43C22×D411yescharacteristic
710C2×Dic43C22×D411yescharacteristic
711C2×Dic43C22×D411yescharacteristic
712C2×Dic43C22×D411yescharacteristic
713D172—21no—
714D172—21no—
715D172—21no—
716D172—81no—
717D1722−1+412yes—
718C4×D43—21no—
719C4×D43—21no—
720C4×D43—41no—
721C4×D43—41no—
722C4×D43—42no—
723C4×D43—42no—
724C4×D43—81no—
725C4×D43—81no—
726C4×D43—81no—
727C4×D43—81no—
728C4×D43—81no—
729C4×D43—81no—
730C4×D43—81no—
731C4×D43—81no—
732Dic86—41no—
733Dic86—41no—
734Dic86—41no—
735Dic86—42no—
736Dic86—81no—
737Dic86—81no—
738Dic86—81no—
739Dic86—81no—
740Dic86—81no—
741Dic86—81no—
742Dic86—81no—
743C8×C43—21no—
744C8×C43—21no—
745C8×C43—21no—
746C8×C43—21no—
747C43⋊C8—21no—
748C43⋊C8—21no—
749C43⋊C8—21no—
750C43⋊C8—21no—
751#61873—431nomaximal, Sylow
752C22×C43—22no—
753C22×C43—41no—
754C22×C43—41no—
755C22×C43C23×D411yescharacteristic
756C2×D43—21no—
757C2×D43—21no—
758C2×D43—21no—
759C2×D43—22no—
760C2×D43—41no—
761C2×D43—41no—
762C2×D43—41no—
763C2×D43—41no—
764C2×D43—41no—
765C2×D43—84no—
766C4×C43—21no—
767C4×C43—21no—
768C4×C43—21no—
769C4×C43—21no—
770C4×C43—21no—
771C4×C43—21no—
772C4×C43—41no—
773C4×C43—41no—
774C4×C43—41no—
775C4×C43—41no—
776C4×C43—41no—
777C4×C43—41no—
778C4×C43—41no—
779C4×C43C2×2−1+411yescharacteristic
780C4×C43C2×2−1+411yescharacteristic
781Dic43—21no—
782Dic43—21no—
783Dic43—21no—
784Dic43—21no—
785Dic43—21no—
786Dic43—21no—
787Dic43—21no—
788Dic43—41no—
789Dic43—41no—
790Dic43—41no—
791Dic43—41no—
792Dic43—41no—
793Dic43—41no—
794#3555—431no—
795#3501—431no—
796#3389—431no—
797#3389—431no—
798#3388—431no—
799#3388—431no—
800#3386—431no—
801#3386—431no—
802#3385—431no—
803#3385—431no—
804#3376—431no—
805#3376—431no—
806#3376—431no—
807#3376—431no—
808#3372—431no—
809#3372D4311yescharacteristic, complemented
810#3367—431no—
811#3367—431no—
812#3243—431no—
813#3243—431no—
814#3242—431no—
815#3242—431no—
816#3240—431no—
817#3237—431no—
818#3123—431no—
819#3123—431no—
820#3118—431no—
821#3118—431no—
822#3114—431no—
823#3110—431no—
824#2987—431no—
825C2×C43—42no—
826C2×C43#348611yescharacteristic
827C2×C43#358511yescharacteristic
828C2×C43#358611yescharacteristic
829D43—41no—
830D43—42no—
831D43—81no—
832#563—861no—
833#563—861no—
834Q82—431no—
835#557—431no—
836#557—431no—
837#557C2×D4311yescharacteristic, complemented
838#556—431no—
839#556—431no—
840#556—431no—
841#556—861no—
842#554—431no—
843#554—431no—
844#554—431no—
845#554—431no—
846#554—431no—
847#554—431no—
848#554—861no—
849#554—861no—
850#554—861no—
851#554C2×D4311yescharacteristic
852#552—861no—
853D4×Q8—431no—
854D4×Q8—431no—
855D4×Q8—861no—
856#544—431no—
857#544—431no—
858#544—861no—
859#543—861no—
860#543—861no—
861#542—431no—
862#542—431no—
863#541—431no—
864#541—431no—
865#541—861no—
866#541—861no—
867#541—861no—
868#533—431no—
869#533—431no—
870#533—431no—
871#529—431no—
872C2×C22⋊Q8—861no—
873C2×C22⋊Q8—861no—
874#518—431no—
875#518—431no—
876C2×C4×D4—431no—
877#501—431no—
878#501—431no—
879#501—431no—
880#501—431no—
881#501—431no—
882#501—431no—
883#501—431no—
884#501—431no—
885#500—431no—
886#500—431no—
887#499—431no—
888#499—431no—
889#491—431no—
890#491—431no—
891#491C2×D4311yescharacteristic, complemented
892#491C2×D4311yescharacteristic, complemented
893#489—431no—
894#489—431no—
895#489—431no—
896#489—431no—
897#488—431no—
898#488—431no—
899#487—431no—
900#487C2×D4311yescharacteristic, complemented
901#485—431no—
902#485—431no—
903#485—431no—
904#485—431no—
905#485—431no—
906#485—431no—
907#484—431no—
908#484—431no—
909#483—431no—
910#482—431no—
911#482—431no—
912#480—431no—
913#479—431no—
914#479—431no—
915#479—431no—
916#479—431no—
917#479—431no—
918#479—431no—
919#479C2×D4311yescharacteristic, complemented
920#479C2×D4311yescharacteristic, complemented
921#478—431no—
922#478—431no—
923#478—431no—
924#478—431no—
925#478—431no—
926#478—431no—
927#478—431no—
928#478—431no—
929#478—431no—
930#478—431no—
931#477—431no—
932#477—431no—
933#477—431no—
934#477—431no—
935#477—431no—
936#477C2×D4311yescharacteristic, complemented
937#476—431no—
938#476—431no—
939#475—431no—
940#475—431no—
941#475—431no—
942#475—431no—
943#474—431no—
944#474—431no—
945#474—431no—
946#474—431no—
947#474—431no—
948#474—431no—
949#463—431no—
950#463—431no—
951#463—431no—
952#463—431no—
953#463—431no—
954#463—431no—
955#461—431no—
956#461—431no—
957#461—431no—
958#461C2×D4311yescharacteristic
959#461C2×D4311yescharacteristic
960#461C2×D4311yescharacteristic
961#450—431no—
962#450—431no—
963#450—431no—
964#447—431no—
965#446—431no—
966#446—431no—
967#446—431no—
968#446—431no—
969#446—431no—
970#446—431no—
971#446—431no—
972#446C2×D4311yescharacteristic, complemented
973#442—431no—
974#442—431no—
975#442—431no—
976#442—431no—
977#440—431no—
978#440—431no—
979#440—431no—
980#440—431no—
981#440—431no—
982#440—431no—
983#440—431no—
984#440—431no—
985#440—431no—
986#440—431no—
987#440C2×D4311yescharacteristic
988#440C2×D4311yescharacteristic
989C4×SD16—431no—
990C4×SD16—431no—
991C4×SD16—431no—
992C4×SD16—431no—
993C4×SD16—431no—
994C4×SD16C2×D4311yescharacteristic
995C4×D8—431no—
996C4×D8—431no—
997#433—431no—
998#433—431no—
999#433—431no—
1000#433—431no—
1001#432—431no—
1002#432—431no—
1003C43#6187311yescharacteristic, complemented, Sylow
1004C22×Q8—861no—
1005C22×Q8—861no—
1006C22×D4—431no—
1007C23×C4—861no—
1008C2×SD16—431no—
1009C2×SD16—431no—
1010C2×SD16—431no—
1011C2×SD16C22×D4311yescharacteristic
1012C2×SD16C22×D4311yescharacteristic
1013C2×SD16C22×D4311yescharacteristic
1014C2×D8—431no—
1015C2×D8—431no—
1016C4⋊Q8—431no—
1017C4⋊Q8—431no—
1018C4⋊Q8—431no—
1019C4⋊Q8—431no—
1020C4⋊Q8—431no—
1021C4⋊Q8—431no—
1022C4⋊Q8—431no—
1023C4⋊Q8—431no—
1024C4⋊Q8—431no—
1025C4⋊Q8—431no—
1026C4⋊Q8—861no—
1027C4⋊Q8—861no—
1028C4⋊Q8—861no—
1029C4⋊Q8—861no—
1030C4⋊Q8—861no—
1031C4⋊Q8—861no—
1032C4⋊Q8—861no—
1033C4⋊Q8C22×D4311yescharacteristic
1034C4⋊Q8C22×D4311yescharacteristic
1035C4⋊Q8C22×D4311yescharacteristic
1036C4⋊Q8C22×D4311yescharacteristic
1037#126—861no—
1038#126—861no—
1039#126—861no—
1040#126—861no—
1041#126—861no—
1042#126—861no—
1043#126—861no—
1044#126—861no—
1045#126—861no—
1046#126—861no—
1047#126—861no—
1048#126—861no—
1049#126—861no—
1050#125—21no—
1051#125—21no—
1052#125—21no—
1053#125—431no—
1054#125—431no—
1055#125—431no—
1056#125—431no—
1057#125—431no—
1058#125—431no—
1059#125—431no—
1060#125—431no—
1061#125—431no—
1062#125—861no—
1063#125—861no—
1064#125—861no—
1065#125—861no—
1066#125—861no—
1067#125—861no—
1068#125—861no—
1069#125—861no—
1070#125—861no—
1071#125—861no—
1072#125—861no—
1073#125C22×D4311yescharacteristic
1074#125C22×D4311yescharacteristic
1075#124—431no—
1076#124—431no—
1077#124—431no—
1078#124—861no—
1079#124—861no—
1080#123—861no—
1081#123—861no—
1082#123—861no—
1083C22⋊Q8—21no—
1084C22⋊Q8—21no—
1085C22⋊Q8—21no—
1086C22⋊Q8—431no—
1087C22⋊Q8—431no—
1088C22⋊Q8—431no—
1089C22⋊Q8—431no—
1090C22⋊Q8—431no—
1091C22⋊Q8—431no—
1092C22⋊Q8—431no—
1093C22⋊Q8—861no—
1094C22⋊Q8—861no—
1095C22⋊Q8—861no—
1096C22⋊Q8—861no—
1097C22⋊Q8—861no—
1098C22⋊Q8—861no—
1099C22⋊Q8—861no—
1100C22⋊Q8—861no—
1101C22⋊Q8—861no—
1102C22⋊Q8—861no—
1103C22⋊Q8—861no—
1104C22⋊Q8—861no—
1105C22⋊Q8—861no—
1106C22⋊Q8—861no—
1107C22⋊Q8—861no—
1108C22⋊Q8—861no—
1109C22⋊Q8—861no—
1110C22⋊Q8—861no—
1111C22⋊Q8—861no—
1112C22⋊Q8—861no—
1113C22⋊Q8—861no—
1114C22⋊Q8—861no—
1115C22⋊Q8—861no—
1116C22⋊Q8—861no—
1117C22⋊Q8—861no—
1118C22⋊Q8—861no—
1119C22⋊Q8—861no—
1120C22⋊Q8—861no—
1121C22⋊Q8—861no—
1122C22⋊Q8—861no—
1123C22⋊Q8—861no—
1124C22⋊Q8—861no—
1125C22⋊Q8—861no—
1126C22⋊Q8—861no—
1127C22⋊Q8—861no—
1128C22⋊Q8—861no—
1129#121—431no—
1130C4×Q8—21no—
1131C4×Q8—431no—
1132C4×Q8—431no—
1133C4×Q8—431no—
1134C4×Q8—431no—
1135C4×Q8—431no—
1136C4×Q8—431no—
1137C4×Q8—431no—
1138C4×Q8—431no—
1139C4×Q8—431no—
1140C4×Q8—861no—
1141C4×Q8—861no—
1142C4×Q8—861no—
1143C4×Q8—861no—
1144C4×Q8—861no—
1145C4×Q8—861no—
1146C4×Q8C22×D4311yescharacteristic
1147C4×Q8C22×D4311yescharacteristic
1148C4×Q8C22×D4311yescharacteristic
1149C4×Q8C22×D4311yescharacteristic
1150C4×D4—431no—
1151C4×D4—431no—
1152C4×D4—431no—
1153C4×D4—431no—
1154C4×D4—431no—
1155C4×D4—431no—
1156C4×D4—431no—
1157C4×D4—431no—
1158C4×D4—431no—
1159C4×D4—431no—
1160C4×D4—431no—
1161C4×D4—431no—
1162C4×D4—861no—
1163C4×D4—861no—
1164C4×D4—861no—
1165C4×D4—861no—
1166C4×D4—861no—
1167C4×D4—861no—
1168C4×D4—861no—
1169C4×D4C22×D4311yescharacteristic
1170C4×D4C22×D4311yescharacteristic
1171C4×D4C22×D4311yescharacteristic
1172#117—431no—
1173#117—431no—
1174#117—431no—
1175#117—431no—
1176#117—861no—
1177#117—861no—
1178#117—861no—
1179#117—861no—
1180#117—861no—
1181C2×C4⋊C4—21no—
1182C2×C4⋊C4—431no—
1183C2×C4⋊C4—861no—
1184C2×C4⋊C4—861no—
1185C2×C4⋊C4—861no—
1186C2×C4⋊C4—861no—
1187C2×C4⋊C4—861no—
1188C2×C4⋊C4—861no—
1189C2×C22⋊C4—861no—
1190C2×C22⋊C4—861no—
1191C2×C22⋊C4—861no—
1192C2×C22⋊C4—861no—
1193C2×C22⋊C4—861no—
1194C2×C42—431no—
1195#107—431no—
1196#107—431no—
1197#107—431no—
1198#107—431no—
1199#107—431no—
1200#107—431no—
1201#107—431no—
1202#107—431no—
1203#107—431no—
1204#107—431no—
1205#107—431no—
1206#107—431no—
1207#107C22×D4311yescharacteristic
1208#107C22×D4311yescharacteristic
1209#106—431no—
1210#106—431no—
1211#106—431no—
1212#106—431no—
1213#106—431no—
1214#106—431no—
1215#106—431no—
1216#106—431no—
1217#106—431no—
1218#106C22×D4311yescharacteristic
1219C4⋊C8—431no—
1220C4⋊C8—431no—
1221C4⋊C8—431no—
1222C4⋊C8—431no—
1223C4⋊C8—431no—
1224C4⋊C8—431no—
1225C4⋊C8—431no—
1226C4⋊C8—431no—
1227C4⋊C8—431no—
1228C4⋊C8C22×D4311yescharacteristic
1229C4⋊C8C22×D4311yescharacteristic
1230C4⋊C8C22×D4311yescharacteristic
1231#103—431no—
1232#103—431no—
1233#103—431no—
1234#103—431no—
1235#103—431no—
1236#103—431no—
1237#103—431no—
1238#103—431no—
1239#103—431no—
1240#103C22×D4311yescharacteristic
1241#103C22×D4311yescharacteristic
1242#103C22×D4311yescharacteristic
1243#103C22×D4311yescharacteristic
1244#103C22×D4311yescharacteristic
1245#103C22×D4311yescharacteristic
1246#103C22×D4311yescharacteristic
1247#103C22×D4311yescharacteristic
1248#103C22×D4311yescharacteristic
1249#102—431no—
1250#102—431no—
1251#102—431no—
1252#102—431no—
1253#102—431no—
1254#102—431no—
1255#102—431no—
1256#102—431no—
1257#102—431no—
1258#102—431no—
1259#102—431no—
1260#102—431no—
1261#102—431no—
1262#102C22×D4311yescharacteristic
1263C22⋊C8—431no—
1264C22⋊C8—431no—
1265C22⋊C8—431no—
1266C22⋊C8—431no—
1267#97—431no—
1268#97—431no—
1269#97—431no—
1270#97—431no—
1271#97—431no—
1272#97—431no—
1273#97C22×D4311yescharacteristic
1274#97C22×D4311yescharacteristic
1275C4×C8—431no—
1276C4×C8—431no—
1277C4×C8—431no—
1278C4×C8C22×D4311yescharacteristic
1279C24—861no—
1280C2×Q8—21no—
1281C2×Q8—431no—
1282C2×Q8—431no—
1283C2×Q8—431no—
1284C2×Q8—861no—
1285C2×Q8—861no—
1286C2×Q8—861no—
1287C2×Q8—861no—
1288C2×Q8—861no—
1289C2×Q8—861no—
1290C2×Q8—861no—
1291C2×Q8—861no—
1292C2×Q8—3442no—
1293C2×Q8—3442no—
1294C2×Q8D4×D4311yescharacteristic
1295C2×Q8C23×D4311yescharacteristic
1296C2×Q8C23×D4311yescharacteristic
1297C2×Q8C23×D4311yescharacteristic
1298C2×D4—431no—
1299C2×D4—431no—
1300C2×D4—861no—
1301C2×D4—861no—
1302C2×D4—862no—
1303C2×D4—862no—
1304C2×D4C23×D4311yescharacteristic
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—431no—
1309C22×C4—431no—
1310C22×C4—431no—
1311C22×C4—861no—
1312C22×C4—861no—
1313C22×C4—861no—
1314C22×C4—861no—
1315C22×C4—861no—
1316C22×C4—861no—
1317C22×C4—861no—
1318C22×C4—861no—
1319C22×C4—861no—
1320C22×C4—861no—
1321C22×C4—861no—
1322C22×C4—861no—
1323C22×C4—861no—
1324C22×C4—3442no—
1325SD16—22no—
1326SD16—22no—
1327SD16—22no—
1328SD16—862no—
1329SD16—862no—
1330SD16—862no—
1331D8—862no—
1332D8—862no—
1333C2×C8—431no—
1334C2×C8—431no—
1335C2×C8—431no—
1336C2×C8—431no—
1337C2×C8C23×D4311yescharacteristic
1338C2×C8C23×D4311yescharacteristic
1339C2×C8C23×D4311yescharacteristic
1340C2×C8C23×D4311yescharacteristic
1341C4⋊C4—21no—
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—21no—
1352C4⋊C4—21no—
1353C4⋊C4—21no—
1354C4⋊C4—21no—
1355C4⋊C4—431no—
1356C4⋊C4—431no—
1357C4⋊C4—431no—
1358C4⋊C4—431no—
1359C4⋊C4—431no—
1360C4⋊C4—431no—
1361C4⋊C4—431no—
1362C4⋊C4—431no—
1363C4⋊C4—431no—
1364C4⋊C4—431no—
1365C4⋊C4—431no—
1366C4⋊C4—431no—
1367C4⋊C4—431no—
1368C4⋊C4—431no—
1369C4⋊C4—431no—
1370C4⋊C4—431no—
1371C4⋊C4—431no—
1372C4⋊C4—431no—
1373C4⋊C4—431no—
1374C4⋊C4—861no—
1375C4⋊C4—861no—
1376C4⋊C4—861no—
1377C4⋊C4—861no—
1378C4⋊C4—861no—
1379C4⋊C4—861no—
1380C4⋊C4—861no—
1381C4⋊C4—861no—
1382C4⋊C4—861no—
1383C4⋊C4—861no—
1384C4⋊C4—861no—
1385C4⋊C4—861no—
1386C4⋊C4—861no—
1387C4⋊C4—861no—
1388C4⋊C4—861no—
1389C4⋊C4—861no—
1390C4⋊C4—861no—
1391C4⋊C4—861no—
1392C4⋊C4—861no—
1393C4⋊C4—861no—
1394C4⋊C4—861no—
1395C4⋊C4—861no—
1396C4⋊C4—861no—
1397C4⋊C4—861no—
1398C4⋊C4—861no—
1399C4⋊C4—861no—
1400C4⋊C4—861no—
1401C4⋊C4—861no—
1402C4⋊C4—861no—
1403C4⋊C4—861no—
1404C4⋊C4—861no—
1405C4⋊C4—861no—
1406C4⋊C4D4×D4311yescharacteristic
1407C4⋊C4D4×D4311yescharacteristic
1408C4⋊C4D4×D4311yescharacteristic
1409C4⋊C4C23×D4311yescharacteristic
1410C4⋊C4C23×D4311yescharacteristic
1411C4⋊C4C23×D4311yescharacteristic
1412C4⋊C4C23×D4311yescharacteristic
1413C22⋊C4—21no—
1414C22⋊C4—21no—
1415C22⋊C4—21no—
1416C22⋊C4—431no—
1417C22⋊C4—431no—
1418C22⋊C4—431no—
1419C22⋊C4—431no—
1420C22⋊C4—861no—
1421C22⋊C4—861no—
1422C22⋊C4—861no—
1423C22⋊C4—861no—
1424C22⋊C4—861no—
1425C22⋊C4—861no—
1426C22⋊C4—861no—
1427C22⋊C4—861no—
1428C22⋊C4—861no—
1429C22⋊C4—861no—
1430C22⋊C4—861no—
1431C22⋊C4—861no—
1432C22⋊C4—861no—
1433C22⋊C4—861no—
1434C22⋊C4—861no—
1435C22⋊C4—861no—
1436C22⋊C4—861no—
1437C22⋊C4—861no—
1438C22⋊C4—861no—
1439C22⋊C4—861no—
1440C22⋊C4—861no—
1441C22⋊C4—861no—
1442C22⋊C4—861no—
1443C22⋊C4—861no—
1444C42—21no—
1445C42—21no—
1446C42—21no—
1447C42—431no—
1448C42—431no—
1449C42—431no—
1450C42—431no—
1451C42—431no—
1452C42—861no—
1453C42—861no—
1454C42—861no—
1455C42—861no—
1456C42—861no—
1457C42—861no—
1458C42—861no—
1459C42—861no—
1460C42C23×D4311yescharacteristic
1461C42C23×D4311yescharacteristic
1462C42C23×D4311yescharacteristic
1463C23—21no—
1464C23—431no—
1465C23—864no—
1466C23—861no—
1467C23—861no—
1468C23—3441no—
1469C23—3441no—
1470Q8—21no—
1471Q8—21no—
1472Q8—21no—
1473Q8—21no—
1474Q8—21no—
1475Q8—21no—
1476Q8—41no—
1477Q8—81no—
1478Q8—3441no—
1479Q8—3441no—
1480Q8—3441no—
1481Q8—3441no—
1482Q8—3441no—
1483Q8—3441no—
1484Q8—3441no—
1485Q8—1721no—
1486Q8—1721no—
1487Q8—1721no—
1488Q8—1722no—
1489D4—21no—
1490D4—432no—
1491D4—864no—
1492D4—861no—
1493D4—861no—
1494D4—861no—
1495D4—3441no—
1496D4#1306337212yes—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—81no—
1505C2×C4—81no—
1506C2×C4—81no—
1507C2×C4—431no—
1508C2×C4—431no—
1509C2×C4—431no—
1510C2×C4—431no—
1511C2×C4—431no—
1512C2×C4—431no—
1513C2×C4—431no—
1514C2×C4—861no—
1515C2×C4—861no—
1516C2×C4—861no—
1517C2×C4—861no—
1518C2×C4—861no—
1519C2×C4—861no—
1520C2×C4—861no—
1521C2×C4—861no—
1522C2×C4—3441no—
1523C2×C4—3441no—
1524C2×C4—3441no—
1525C2×C4—3441no—
1526C2×C4—3441no—
1527C2×C4—3441no—
1528C2×C4—3441no—
1529C2×C4—3441no—
1530C2×C4—3441no—
1531C2×C4—3441no—
1532C2×C4—1721no—
1533C2×C4—1721no—
1534C2×C4—1722no—
1535C2×C4—1722no—
1536C2×C4—1722no—
1537C2×C4C2×D4×D4311yescharacteristic
1538C2×C4C2×D4×D4311yescharacteristic
1539C2×C4C2×D4×D4311yescharacteristic
1540C2×C4C2×D4×D4311yescharacteristic
1541C2×C4C2×D4×D4311yescharacteristic
1542C2×C4C2×D4×D4311yescharacteristic
1543C2×C4C24×D4311yescharacteristic
1544C8—21no—
1545C8—21no—
1546C8—21no—
1547C8—21no—
1548C8—861no—
1549C8—861no—
1550C8—861no—
1551C8—861no—
1552C22—22no—
1553C22—41no—
1554C22—41no—
1555C22—861no—
1556C22—861no—
1557C22—861no—
1558C22—862no—
1559C22—3444no—
1560C22—1721no—
1561C22—1721no—
1562C22—1721no—
1563C22—1721no—
1564C22—1721no—
1565C22C22×D4×D4311yescharacteristic
1566C4—21no—
1567C4—21no—
1568C4—21no—
1569C4—21no—
1570C4—21no—
1571C4—21no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—861no—
1580C4—861no—
1581C4—861no—
1582C4—861no—
1583C4—861no—
1584C4—861no—
1585C4—861no—
1586C4—1721no—
1587C4—1721no—
1588C4—1721no—
1589C4—1721no—
1590C4—1721no—
1591C4—1721no—
1592C42−1+4×D4311yescharacteristic
1593C4C2×#1306337211yescharacteristic
1594C2—42no—
1595C2—3441no—
1596C2—1721no—
1597C2—1722no—
1598C2#1914824111yescharacteristic
1599C2#1914937311yescharacteristic
1600C2#1914937811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3372C2
socleC22×C43C23×D4
prime radical#14583034C22
hypercenter#3372D43
hypocenterC43#61873
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3372

Complements

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

NH ≅ G/Ntype
1. #19149079C2semidirect
2. #19148394C2semidirect
3. #19147555C2semidirect
4. #19147549C2semidirect
5. #19147538C2semidirect
6. #19147536C2semidirect
7. #19147519C2semidirect
8. #19147517C2semidirect
9. #19147508C2semidirect
10. #19147506C2semidirect
11. #19147417C2semidirect
12. #19147417C2semidirect
13. #19147415C2semidirect
14. #19147415C2semidirect
15. #19147372C2semidirect
16. #19147318C2semidirect
17. #19147317C2semidirect
18. #19145885C2semidirect
19. #19145883C2semidirect
20. #19145858C2semidirect
21. #19145856C2semidirect
22. #19145840C2semidirect
23. #19145804C2semidirect
24. #19144845C2semidirect
25. #19144845C2semidirect
29. #19144693C2semidirect
30. #19143698C2semidirect
31. C43×#3372C2semidirect
34. Q8×Dic86C22semidirect
35. #14583625C22semidirect
36. #14583625C22semidirect
37. #14583623C22semidirect
38. #14583623C22semidirect
39. #14583623C22semidirect
42. #14583609C22semidirect
75. #14583309C22semidirect
76. #14583308C22semidirect
77. #14583308C22semidirect
78. #14583307C22semidirect
79. #14583307C22semidirect
80. #14583306C22semidirect
81. #14583306C22semidirect
82. #14583305C22semidirect
83. #14583303C22semidirect
84. #14583303C22semidirect
85. #14583301C22semidirect
86. #14583298C22semidirect
87. #14583267C22semidirect
88. #14583267C22semidirect
89. #14583260C22semidirect
90. #14583260C22semidirect
91. #14583260C22semidirect
92. #14583260C22semidirect
93. #14583255C22semidirect
94. #14583255C22semidirect
95. #14583249C22semidirect
108. #14583208C22semidirect
109. #14583208C22semidirect
110. #14583206C22semidirect
111. #14583206C22semidirect
112. #14583204C22semidirect
113. #14583204C22semidirect
118. #14583200C22semidirect
119. #14583200C22semidirect
122. #14583196C22semidirect
123. #14583196C22semidirect
124. #14583194C22semidirect
125. #14583192C22semidirect
126. #14583192C22semidirect
127. #14583192C22semidirect
128. #14583192C22semidirect
131. #14583182C22semidirect
132. #14583182C22semidirect
133. #14583182C22semidirect
134. #14583182C22semidirect
136. #14583180C22semidirect
140. #14583176C22semidirect
154. #14583030C22semidirect
155. #14583029C22semidirect
156. #14583028C22semidirect
157. #14583028C22semidirect
158. #14583027C22semidirect
159. #14583027C22semidirect
160. #14583026C22semidirect
188. C43×#557C22semidirect
190. C43×#491C22semidirect
191. C43×#491C22semidirect
192. C43×#487C22semidirect
193. C43×#479C22semidirect
194. C43×#479C22semidirect
195. C43×#477C22semidirect
199. C43×#446C22semidirect
809. #3372D43semidirect
837. #557C2×D43semidirect
891. #491C2×D43semidirect
892. #491C2×D43semidirect
900. #487C2×D43semidirect
919. #479C2×D43semidirect
920. #479C2×D43semidirect
936. #477C2×D43semidirect
972. #446C2×D43semidirect
1003. C43#61873semidirect

Maximal subgroups

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

subgroupindex
#191490792
#191483942
#191475552
#191475492
#191475382
#191475362
#191475192
#191475172
#191475082
#191475062
#191474172
#191474152
#191473722
#191473182
#191473172
#191458852
#191458832
#191458582
#191458562
#191458402
#191458042
#191448452
#191447852
#191447832
#191447372
#191446932
#191436982
C43×#33722
#6187343