Finite Group Databasebeta

← #25969196

Subgroups — #25969196

Order 11008.

1622 conjugacy classes of subgroups.

The subgroup lattice has 1572 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148477C211yesmaximal, characteristic
2#19148418C211yesmaximal, characteristic
3#19145866C211yesmaximal, characteristic, complemented
4#19145865C211yesmaximal, characteristic, complemented
5#19145864C211yesmaximal, characteristic, complemented
6#19145863C211yesmaximal, characteristic, complemented
7#19145858C211yesmaximal, characteristic, complemented
8#19145857C211yesmaximal, characteristic, complemented
9#19145856C211yesmaximal, characteristic, complemented
10#19145808C211yesmaximal, characteristic, complemented
11#19145807C211yesmaximal, characteristic, complemented
12#19145806C211yesmaximal, characteristic, complemented
13#19145806C211yesmaximal, characteristic, complemented
14#19145800C211yesmaximal, characteristic, complemented
15#19145799C211yesmaximal, characteristic, complemented
16#19145799C211yesmaximal, characteristic, complemented
17#19145798C211yesmaximal, characteristic, complemented
18#19145143C211yesmaximal, characteristic, complemented
19#19145116C211yesmaximal, characteristic, complemented
20#19144972C211yesmaximal, characteristic, complemented
21#491×D43C211yesmaximal, characteristic, complemented
22#19144563C211yesmaximal, characteristic
23#19144561C211yesmaximal, characteristic
24#19144559C211yesmaximal, characteristic
25#19144557C211yesmaximal, characteristic
26#19144436C211yesmaximal, characteristic, complemented
27#19144434C211yesmaximal, characteristic, complemented
28#19144432C211yesmaximal, characteristic, complemented
29#19144430C211yesmaximal, characteristic, complemented
30#19143243C211yesmaximal, characteristic
31C43×#3242C211yesmaximal, characteristic, complemented
32#14583626—21no—
33#14583626—21no—
34#14583626—21no—
35#14583624—21no—
36#14583616—21no—
37#14583616—21no—
38#14583610—21no—
39#14583607—21no—
40#14583607—21no—
41#14583605—21no—
42#14583603—21no—
43#14583603—21no—
44#14583585—21no—
45#14583585—21no—
46#14583581—21no—
47#14583581—21no—
48#14583529C2211yescharacteristic
49#14583529C2211yescharacteristic
50#14583527C2211yescharacteristic
51#14583526C2211yescharacteristic
52#14583526C2211yescharacteristic
53#14583512C2211yescharacteristic
54#14583511C2211yescharacteristic
55#14583510C2211yescharacteristic
56#14583472C2211yescharacteristic
57#14583472C2211yescharacteristic
58#14583455C2211yescharacteristic
59#14583454C2211yescharacteristic
60#14583454C2211yescharacteristic
61#14583453C2211yescharacteristic
62#14583453C2211yescharacteristic
63#14583452C2211yescharacteristic
64#14583451C2211yescharacteristic
65#14583451C2211yescharacteristic
66C4⋊Q8×D43C2211yescharacteristic
67C2×#13063316C2211yescharacteristic
68#125×D43C2211yescharacteristic
69#125×D43C2211yescharacteristic
70#14583380C2211yescharacteristic
71#14583379C2211yescharacteristic
72#14583375C2211yescharacteristic
73#14583375C2211yescharacteristic
74#14583367C2211yescharacteristic
75#14583309C2211yescharacteristic
76#14583308C2211yescharacteristic
77#14583307C2211yescharacteristic
78#14583307C2211yescharacteristic
79#14583307C2211yescharacteristic
80#14583307C2211yescharacteristic
81#14583306C2211yescharacteristic
82#14583306C2211yescharacteristic
83#14583306C2211yescharacteristic
84#14583306C2211yescharacteristic
85#14583305C2211yescharacteristic
86#14583301C2211yescharacteristic
87#14583298C2211yescharacteristic
88#14583298C2211yescharacteristic
89#14583269C2211yescharacteristic
90#14583268C2211yescharacteristic
91#14583267C2211yescharacteristic
92#14583266C2211yescharacteristic
93#14583266C2211yescharacteristic
94#14583266C2211yescharacteristic
95#14583266C2211yescharacteristic
96#14583266C2211yescharacteristic
97#14583266C2211yescharacteristic
98#14583266C2211yescharacteristic
99#14583266C2211yescharacteristic
100#14583251C2211yescharacteristic
101#14583250C2211yescharacteristic
102#14583249C2211yescharacteristic
103#14583243C2211yescharacteristic
104#14583243C2211yescharacteristic
105#14583242C2211yescharacteristic
106#14583242C2211yescharacteristic
107#14583241C2211yescharacteristic
108#14583241C2211yescharacteristic
109#14583240C2211yescharacteristic
110#14583240C2211yescharacteristic
111#14583239C2211yescharacteristic
112#14583239C2211yescharacteristic
113#14583238C2211yescharacteristic
114#14583238C2211yescharacteristic
115#14583237C2211yescharacteristic
116#14583237C2211yescharacteristic
117#14583236C2211yescharacteristic
118#14583236C2211yescharacteristic
119#14583235C2211yescharacteristic
120#14583234C2211yescharacteristic
121#14583233C2211yescharacteristic
122#14583233C2211yescharacteristic
123#14583232C2211yescharacteristic
124#14583231C2211yescharacteristic
125#14583231C2211yescharacteristic
126#14583230C2211yescharacteristic
127#14583229C2211yescharacteristic
128#14583228C2211yescharacteristic
129#14583228C2211yescharacteristic
130#14583227C2211yescharacteristic
131#14583209C2211yescharacteristic
132#14583209C2211yescharacteristic
133#14583208C2211yescharacteristic
134#14583208C2211yescharacteristic
135#14583207C2211yescharacteristic
136#14583207C2211yescharacteristic
137#14583206C2211yescharacteristic
138#14583206C2211yescharacteristic
139#14583205C2211yescharacteristic
140#14583205C2211yescharacteristic
141#14583204C2211yescharacteristic
142#14583204C2211yescharacteristic
143#14583203C2211yescharacteristic
144#14583203C2211yescharacteristic
145#14583195C2211yescharacteristic
146#14583194C2211yescharacteristic
147#14583193C2211yescharacteristic
148#14583193C2211yescharacteristic
149#14583192C2211yescharacteristic
150#14583192C2211yescharacteristic
151#14583191C2211yescharacteristic
152#14583185C2211yescharacteristic
153#14583184C2211yescharacteristic
154#14583183C2211yescharacteristic
155#14583183C2211yescharacteristic
156#14583182C2211yescharacteristic
157#14583182C2211yescharacteristic
158#14583181C2211yescharacteristic
159#14582961C2211yescharacteristic
160#14582960C2211yescharacteristic
161#14582958C2211yescharacteristic
162#14582955C2211yescharacteristic
163#14582955C2211yescharacteristic
164#14582953C2211yescharacteristic
165#14582953C2211yescharacteristic
166#14582940C2211yescharacteristic
167#14582940C2211yescharacteristic
168#14582938C2211yescharacteristic
169#14582938C2211yescharacteristic
170#14582936C2211yescharacteristic
171#14582936C2211yescharacteristic
172#14582934C2211yescharacteristic
173#14582934C2211yescharacteristic
174#14582924C2211yescharacteristic
175#14582924C2211yescharacteristic
176#14582906C2211yescharacteristic
177#14582906C2211yescharacteristic
178#14582906C2211yescharacteristic
179#14582906C2211yescharacteristic
180#103×D43C2211yescharacteristic
181#103×D43C2211yescharacteristic
182#103×D43C2211yescharacteristic
183#103×D43C2211yescharacteristic
184#14582864C2211yescharacteristic
185#14582864C2211yescharacteristic
186C4×#10621872C2211yescharacteristic
187#97×D43C2211yescharacteristic
188C43×#544C2211yescharacteristic
189C43×#541C2211yescharacteristic
190C43×#501C2211yescharacteristic
191C43×#499C2211yescharacteristic
192C43×#491C2211yescharacteristic
193C43×#487C2211yescharacteristic
194C43×#485C2211yescharacteristic
195C43×#485C2211yescharacteristic
196C43×#484C2211yescharacteristic
197C43×#483C2211yescharacteristic
198C43×#479C2211yescharacteristic
199C43×#479C2211yescharacteristic
200C43×#477C2211yescharacteristic
201C43×#475C2211yescharacteristic
202C43×#433C2211yescharacteristic
203C2×#10621898C2311yescharacteristic
204C2×Q8×D43C2311yescharacteristic
205C2×Q8×D43C2311yescharacteristic
206C2×#10621872C2311yescharacteristic
207C2×#10621872C2311yescharacteristic
208C2×C8×D43C2311yescharacteristic
209C2×C8×D43C2311yescharacteristic
210#13063325C2311yescharacteristic
211#13063325C2311yescharacteristic
212#13063325C2311yescharacteristic
213#13063324—21no—
214#13063324—21no—
215#13063324—21no—
216#13063324—21no—
217#13063324—21no—
218#13063324—21no—
219#13063324—21no—
220#13063324C2311yescharacteristic
221#13063324C2311yescharacteristic
222#13063324C2311yescharacteristic
223#13063324C2311yescharacteristic
224#13063323—21no—
225#13063323—21no—
226#13063323C2311yescharacteristic
227#13063323C2311yescharacteristic
228#13063320—21no—
229#13063320—21no—
230#13063320—21no—
231#13063320—21no—
232#13063318—21no—
233#13063318—21no—
234#13063317C2311yescharacteristic
235#13063317C2311yescharacteristic
236#13063317C2311yescharacteristic
237#13063316—21no—
238#13063316—21no—
239#13063316—21no—
240#13063316—21no—
241#13063316—21no—
242#13063316C2311yescharacteristic
243#13063316C2311yescharacteristic
244#13063316C2311yescharacteristic
245#13063316C2311yescharacteristic
246#13063316C2311yescharacteristic
247#13063316C2311yescharacteristic
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063315—21no—
253#13063315—21no—
254#13063315—21no—
255#13063315—21no—
256#13063315—21no—
257#13063315—21no—
258#13063315—21no—
259#13063315—21no—
260#13063315—21no—
261#13063315—21no—
262#13063315—21no—
263#13063315—21no—
264#13063311—21no—
265#13063311—21no—
266#13063310—21no—
267#13063310—21no—
268#13063307—21no—
269#13063307—21no—
270#13063305—21no—
271#13063305—21no—
272#13063305—21no—
273#13063305—21no—
274#13063305C2311yescharacteristic
275#13063305C2311yescharacteristic
276#13063304C2311yescharacteristic
277#13063304C2311yescharacteristic
278#13063303—21no—
279#13063303—21no—
280#13063303—21no—
281#13063303—21no—
282#13063303—21no—
283#13063303—21no—
284#13063303—21no—
285#13063303—21no—
286#13063302—21no—
287#13063302—21no—
288#13063302—21no—
289#13063302—21no—
290#13063302—21no—
291#13063302—21no—
292#13063301—21no—
293#13063301—21no—
294#13063301—21no—
295#13063301—21no—
296#13063301C2311yescharacteristic
297#13063301C2311yescharacteristic
298Q8×Dic43—21no—
299Q8×Dic43—21no—
300Q8×Dic43C2311yescharacteristic
301Q8×Dic43C2311yescharacteristic
302C4×Dic86—21no—
303C4×Dic86—21no—
304C4×Dic86—21no—
305C4×Dic86—21no—
306C4×Dic86—21no—
307C4×Dic86—21no—
308C4×Dic86—21no—
309C4×Dic86C2311yescharacteristic
310C4×Dic86C2311yescharacteristic
311#13063290—21no—
312#13063290—21no—
313#13063290—21no—
314#13063290—21no—
315#13063290—21no—
316#13063290—21no—
317#13063290—21no—
318#13063290—21no—
319#13063290—21no—
320#13063290D411yescharacteristic
321#13063290D411yescharacteristic
322#13063290C2311yescharacteristic
323#13063290C2311yescharacteristic
324C4×D172—21no—
325#13063287—21no—
326#13063287D411yescharacteristic
327#13063287D411yescharacteristic
328C4×C22⋊D43—21no—
329C4×C22⋊D43—21no—
330(C22⋊D43)⋊C4—21no—
331(C22⋊D43)⋊C4—21no—
332(C22⋊D43)⋊C4D411yescharacteristic
333(C22⋊D43)⋊C4D411yescharacteristic
334(C22⋊D43)⋊C4D411yescharacteristic
335(C22⋊D43)⋊C4D411yescharacteristic
336#13063284C2311yescharacteristic
337#13063283—21no—
338#13063283—21no—
339#13063283C2311yescharacteristic
340#13063283C2311yescharacteristic
341#13063283C2311yescharacteristic
342#13063283C2311yescharacteristic
343#13063283C2311yescharacteristic
344#13063283C2311yescharacteristic
345#13063282—21no—
346#13063282—21no—
347#13063282—21no—
348#13063282—21no—
349#13063282C2311yescharacteristic
350#13063282C2311yescharacteristic
351#13063281—21no—
352#13063281—21no—
353C2×C4⋊Dic43—21no—
354C2×C4⋊Dic43C2311yescharacteristic
355C2×Dic43⋊C4—21no—
356C4⋊C4×D43—21no—
357C4⋊C4×D43—21no—
358C4⋊C4×D43—21no—
359C4⋊C4×D43—21no—
360C4⋊C4×D43—21no—
361C4⋊C4×D43—21no—
362C4⋊C4×D43C2311yescharacteristic
363C4⋊C4×D43C2311yescharacteristic
364C4⋊C4×D43C2311yescharacteristic
365C4⋊C4×D43C2311yescharacteristic
366C2×C4×Dic43C2311yescharacteristic
367C42×D43C2311yescharacteristic
368C42×D43C2311yescharacteristic
369#13063259C2311yescharacteristic
370#13063259C2311yescharacteristic
371#13063259C2311yescharacteristic
372#13063259C2311yescharacteristic
373#13063258C2311yescharacteristic
374#13063258C2311yescharacteristic
375#13063258C2311yescharacteristic
376#13063258C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063258C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063257C2311yescharacteristic
382#13063257C2311yescharacteristic
383#13063257C2311yescharacteristic
384#13063257C2311yescharacteristic
385#13063256C2311yescharacteristic
386#13063256C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389#13063256C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393C4⋊(C43⋊C8)C2311yescharacteristic
394C4⋊(C43⋊C8)C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C4⋊Q8×C43—21no—
436C4⋊Q8×C43C2311yescharacteristic
437C4⋊Q8×C43C2311yescharacteristic
438C4⋊Q8×C43C2311yescharacteristic
439#126×C43—21no—
440#126×C43—21no—
441#125×C43—21no—
442#125×C43—21no—
443#125×C43—21no—
444#125×C43C2311yescharacteristic
445#125×C43C2311yescharacteristic
446#125×C43C2311yescharacteristic
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43—21no—
449C22⋊Q8×C43C2311yescharacteristic
450C22⋊Q8×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453#117×C43C2311yescharacteristic
454#117×C43C2311yescharacteristic
455C2×C4⋊C4×C43C2311yescharacteristic
456#107×C43C2311yescharacteristic
457#107×C43C2311yescharacteristic
458#107×C43C2311yescharacteristic
459#107×C43C2311yescharacteristic
460#106×C43C2311yescharacteristic
461#106×C43C2311yescharacteristic
462#106×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465C4⋊C8×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
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C2×Q8×C43—21no—
479C2×Q8×C43—21no—
480C2×Q8×C43C2411yescharacteristic
481C2×Q8×C43C2411yescharacteristic
482C22×C4×C43—21no—
483C22×C4×C43C2411yescharacteristic
484C2×C22⋊D43C2×D411yescharacteristic
485C2×C22⋊D43C2×D411yescharacteristic
486C22×Dic43—21no—
487C22×Dic43C2×D411yescharacteristic
488C22×Dic43C2×D411yescharacteristic
489Q8×D43—22no—
490Q8×D43—22no—
491Q8×D43—22no—
492Q8×D43—22no—
493#10621898—22no—
494#10621898—22no—
495C2×D172C2×D411yescharacteristic
496C2×C4×D43—21no—
497C2×C4×D43—21no—
498C2×C4×D43—21no—
499C2×C4×D43—21no—
500C2×C4×D43—21no—
501C2×C4×D43—21no—
502C2×C4×D43C2×D411yescharacteristic
503C2×C4×D43C2×D411yescharacteristic
504C2×C4×D43C2×D411yescharacteristic
505C2×C4×D43C2×D411yescharacteristic
506C2×C4×D43C2411yescharacteristic
507C2×C4×D43C2411yescharacteristic
508C2×Dic86—21no—
509C2×Dic86—21no—
510C2×Dic86—21no—
511C2×Dic86—21no—
512C2×Dic86—21no—
513C2×Dic86—21no—
514C2×Dic86—21no—
515C2×Dic86—21no—
516C2×Dic86C2×D411yescharacteristic
517C2×Dic86C2411yescharacteristic
518C2×Dic86C2411yescharacteristic
519C2×C8×C43C2411yescharacteristic
520C2×C8×C43C2411yescharacteristic
521C2×C8×C43C2411yescharacteristic
522C2×C8×C43C2411yescharacteristic
523C4⋊C4×C43—21no—
524C4⋊C4×C43—21no—
525C4⋊C4×C43—21no—
526C4⋊C4×C43—21no—
527C4⋊C4×C43—21no—
528C4⋊C4×C43—21no—
529C4⋊C4×C43—21no—
530C4⋊C4×C43—21no—
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×C43C2×D411yescharacteristic
539C4⋊C4×C43C2×D411yescharacteristic
540C4⋊C4×C43C2411yescharacteristic
541C4⋊C4×C43C2411yescharacteristic
542C4⋊C4×C43C2411yescharacteristic
543C4⋊C4×C43C2411yescharacteristic
544C4⋊C4×C43C2411yescharacteristic
545C4⋊C4×C43C2411yescharacteristic
546C22⋊C4×C43—21no—
547C22⋊C4×C43—21no—
548C22⋊C4×C43—21no—
549C22⋊C4×C43C2×D411yescharacteristic
550C22⋊C4×C43C2×D411yescharacteristic
551C42×C43—21no—
552C42×C43—21no—
553C42×C43—21no—
554C42×C43C2411yescharacteristic
555C42×C43C2411yescharacteristic
556C22⋊Dic43—21no—
557C22⋊Dic43—21no—
558C22⋊Dic43—21no—
559(C2×D43)⋊C4—21no—
560(C2×D43)⋊C4—21no—
561(C2×D43)⋊C4—21no—
562(C2×D43)⋊C4—21no—
563(C2×D43)⋊C4—21no—
564(C2×D43)⋊C4—21no—
565(C2×D43)⋊C4—21no—
566(C2×D43)⋊C4—21no—
567(C2×D43)⋊C4—21no—
568(C2×D43)⋊C4—21no—
569(C2×D43)⋊C4C2×D411yescharacteristic
570(C2×D43)⋊C4C2×D411yescharacteristic
571(C2×D43)⋊C4C2×D411yescharacteristic
572(C2×D43)⋊C4C2×D411yescharacteristic
573C4⋊Dic43—21no—
574C4⋊Dic43—21no—
575C4⋊Dic43—21no—
576C4⋊Dic43—21no—
577C4⋊Dic43—21no—
578C4⋊Dic43—21no—
579C4⋊Dic43—21no—
580C4⋊Dic43—21no—
581C4⋊Dic43—21no—
582C4⋊Dic43—21no—
583C4⋊Dic43—21no—
584C4⋊Dic43—21no—
585C4⋊Dic43—21no—
586C4⋊Dic43—21no—
587C4⋊Dic43—21no—
588C4⋊Dic43C2411yescharacteristic
589C4⋊Dic43C2411yescharacteristic
590C4⋊Dic43C2411yescharacteristic
591C4⋊Dic43C2411yescharacteristic
592C4⋊Dic43C2411yescharacteristic
593C4⋊Dic43C2411yescharacteristic
594Dic43⋊C4—21no—
595Dic43⋊C4—21no—
596Dic43⋊C4—21no—
597Dic43⋊C4—21no—
598Dic43⋊C4—21no—
599Dic43⋊C4—21no—
600Dic43⋊C4—21no—
601Dic43⋊C4—21no—
602Dic43⋊C4—21no—
603Dic43⋊C4—21no—
604Dic43⋊C4—21no—
605Dic43⋊C4—21no—
606Dic43⋊C4—21no—
607Dic43⋊C4—21no—
608Dic43⋊C4—21no—
609Dic43⋊C4—21no—
610Dic43⋊C4—21no—
611Dic43⋊C4—21no—
612Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
627Dic43⋊C4C2×D411yescharacteristic
628Dic43⋊C4C2×D411yescharacteristic
629Dic43⋊C4C2×D411yescharacteristic
630C4×Dic43—21no—
631C4×Dic43—21no—
632C4×Dic43—21no—
633C4×Dic43—21no—
634C4×Dic43—21no—
635C4×Dic43—21no—
636C4×Dic43—21no—
637C4×Dic43—21no—
638C4×Dic43—21no—
639C4×Dic43—21no—
640C4×Dic43—21no—
641C4×Dic43—21no—
642C4×Dic43—21no—
643C4×Dic43C2×D411yescharacteristic
644C4×Dic43C2×D411yescharacteristic
645C4×Dic43C2×D411yescharacteristic
646C4×Dic43C2×D411yescharacteristic
647C4×Dic43C2×D411yescharacteristic
648C4×Dic43C2×D411yescharacteristic
649C4×Dic43C2411yescharacteristic
650C4×Dic43C2411yescharacteristic
651C2×C43⋊C8C2411yescharacteristic
652C2×C43⋊C8C2411yescharacteristic
653C2×C43⋊C8C2411yescharacteristic
654C2×C43⋊C8C2411yescharacteristic
655#10621872—22no—
656#10621872—22no—
657C8×D43—22no—
658C8×D43—22no—
659C23×C43C22×D411yescharacteristic
660C22×D43C22×D411yescharacteristic
661C22×D43C22×D411yescharacteristic
662Q8×C43—21no—
663Q8×C43—21no—
664Q8×C43—21no—
665Q8×C43—21no—
666Q8×C43—81no—
667Q8×C43—81no—
668C2×C4×C43—21no—
669C2×C4×C43—21no—
670C2×C4×C43—21no—
671C2×C4×C43—21no—
672C2×C4×C43—21no—
673C2×C4×C43—21no—
674C2×C4×C43—21no—
675C2×C4×C43—21no—
676C2×C4×C43—21no—
677C2×C4×C43—21no—
678C2×C4×C43—81no—
679C2×C4×C43C22×D411yescharacteristic
680C2×C4×C43C22×D411yescharacteristic
681C2×C4×C43C22×D411yescharacteristic
682C2×C4×C43C22×D411yescharacteristic
683C2×C4×C43C22×D411yescharacteristic
684C2×C4×C43C2511yescharacteristic
685C22⋊D43—22no—
686C22⋊D43—22no—
687C2×Dic43—21no—
688C2×Dic43—21no—
689C2×Dic43—21no—
690C2×Dic43—21no—
691C2×Dic43—21no—
692C2×Dic43—21no—
693C2×Dic43—21no—
694C2×Dic43—21no—
695C2×Dic43—41no—
696C2×Dic43—41no—
697C2×Dic43—81no—
698C2×Dic43C22×D411yescharacteristic
699C2×Dic43C22×D411yescharacteristic
700C2×Dic43C22×D411yescharacteristic
701C2×Dic43C22×D411yescharacteristic
702C2×Dic43C22×D411yescharacteristic
703C2×Dic43C22×D411yescharacteristic
704D172—22no—
705C4×D43—21no—
706C4×D43—21no—
707C4×D43—41no—
708C4×D43—41no—
709C4×D43—41no—
710C4×D43—41no—
711C4×D43—42no—
712C4×D43—42no—
713C4×D43—81no—
714C4×D43—81no—
715C4×D43—81no—
716C4×D43—81no—
717C4×D432−1+412yes—
718C4×D432−1+412yes—
719Dic86—22no—
720Dic86—21no—
721Dic86—21no—
722Dic86—21no—
723Dic86—21no—
724Dic86—42no—
725Dic86—42no—
726Dic86—42no—
727Dic86—42no—
728Dic86—81no—
729Dic86—81no—
730Dic86—81no—
731Dic86—81no—
732C8×C43—21no—
733C8×C43—21no—
734C8×C43—21no—
735C8×C43—21no—
736C43⋊C8—21no—
737C43⋊C8—21no—
738C43⋊C8—21no—
739C43⋊C8—21no—
740#60884—431nomaximal, Sylow
741C22×C43—21no—
742C22×C43—21no—
743C22×C43—21no—
744C22×C43C23×D411yescharacteristic
745C2×D43—21no—
746C2×D43—21no—
747C2×D43—21no—
748C2×D43—21no—
749C2×D43—21no—
750C2×D43#53612yes—
751C4×C43—21no—
752C4×C43—21no—
753C4×C43—21no—
754C4×C43—21no—
755C4×C43—21no—
756C4×C43—41no—
757C4×C43—41no—
758C4×C43—41no—
759C4×C43—41no—
760C4×C43—41no—
761C4×C43—41no—
762C4×C43—41no—
763C4×C43—41no—
764C4×C43C2×2−1+411yescharacteristic
765C4×C43C2×2−1+411yescharacteristic
766Dic43—21no—
767Dic43—21no—
768Dic43—21no—
769Dic43—21no—
770Dic43—21no—
771Dic43—41no—
772Dic43—41no—
773Dic43—41no—
774Dic43—41no—
775Dic43—41no—
776Dic43—41no—
777Dic43—41no—
778Dic43—41no—
779Dic43#53612yes—
780#3509—431no—
781#3504—431no—
782#3242—431no—
783#3242—431no—
784#3242—431no—
785#3242—431no—
786#3242—431no—
787#3242—431no—
788#3242—431no—
789#3242D4311yescharacteristic, complemented
790#3237—431no—
791#3237—431no—
792#3237—431no—
793#3237—431no—
794#3236—431no—
795#3236—431no—
796#3236—431no—
797#3236—431no—
798#3166—431no—
799#3162—431no—
800#3139—431no—
801C2×#491—431no—
802#3097—431no—
803#3097—431no—
804#3097—431no—
805#3097—431no—
806#3082—431no—
807#3082—431no—
808#3082—431no—
809#3082—431no—
810#2923—431no—
811C2×C43—41no—
812C2×C43C2×#53611yescharacteristic
813C2×C43#358611yescharacteristic
814C2×C43#358611yescharacteristic
815D43—22no—
816D43—41no—
817#557—861no—
818#557—861no—
819#557—861no—
820#557—861no—
821#556—861no—
822#556—861no—
823#554—861no—
824#554—861no—
825#554—861no—
826#554—861no—
827#554—861no—
828#554—861no—
829#552—861no—
830#552—861no—
831#552—861no—
832#552—861no—
833#544—431no—
834#544—431no—
835#544—431no—
836#544—431no—
837#544—431no—
838#544C2×D4311yescharacteristic
839#541—431no—
840#541—431no—
841#541—431no—
842#541C2×D4311yescharacteristic
843#536—431no—
844#536—431no—
845#533—431no—
846#533—431no—
847#533—431no—
848#533—431no—
849#533—431no—
850#533—431no—
851#533—431no—
852#533—431no—
853C2×C4⋊Q8—431no—
854C2×#125—431no—
855C2×#125—431no—
856C2×#125—431no—
857#520—431no—
858#520—431no—
859#519—431no—
860#519—431no—
861C4×#41—431no—
862#501—431no—
863#501—431no—
864#501—431no—
865#501—431no—
866#501—431no—
867#501—431no—
868#501—431no—
869#501—431no—
870#501—431no—
871#501—431no—
872#501—431no—
873#501C2×D4311yescharacteristic
874#499—431no—
875#499—431no—
876#499—431no—
877#499C2×D4311yescharacteristic
878#491—431no—
879#491—431no—
880#491—431no—
881#491—431no—
882#491—431no—
883#491—431no—
884#491—431no—
885#491—431no—
886#491—431no—
887#491—431no—
888#491—431no—
889#491C2×D4311yescharacteristic
890#487—431no—
891#487—431no—
892#487—431no—
893#487C2×D4311yescharacteristic
894#485—431no—
895#485—431no—
896#485—431no—
897#485—431no—
898#485—431no—
899#485—431no—
900#485—431no—
901#485—431no—
902#485—431no—
903#485—431no—
904#485—431no—
905#485—431no—
906#485—431no—
907#485—431no—
908#485C2×D4311yescharacteristic
909#485C2×D4311yescharacteristic
910#484—431no—
911#484—431no—
912#484—431no—
913#484—431no—
914#484—431no—
915#484—431no—
916#484—431no—
917#484C2×D4311yescharacteristic
918#483—431no—
919#483—431no—
920#483—431no—
921#483—431no—
922#483—431no—
923#483—431no—
924#483—431no—
925#483C2×D4311yescharacteristic
926#479—431no—
927#479—431no—
928#479—431no—
929#479—431no—
930#479—431no—
931#479—431no—
932#479—431no—
933#479—431no—
934#479—431no—
935#479—431no—
936#479—431no—
937#479—431no—
938#479—431no—
939#479—431no—
940#479C2×D4311yescharacteristic
941#479C2×D4311yescharacteristic
942#477—431no—
943#477—431no—
944#477—431no—
945#477—431no—
946#477—431no—
947#477—431no—
948#477—431no—
949#477C2×D4311yescharacteristic
950#475—431no—
951#475—431no—
952#475—431no—
953#475—431no—
954#475—431no—
955#475—431no—
956#475—431no—
957#475C2×D4311yescharacteristic
958#433—431no—
959#433—431no—
960#433—431no—
961#433C2×D4311yescharacteristic
962#432—431no—
963#432—431no—
964#432—431no—
965#432—431no—
966#428—431no—
967#428—431no—
968#428—431no—
969#428—431no—
970#427—431no—
971#427—431no—
972#427—431no—
973#427—431no—
974#424—431no—
975#424—431no—
976#419—431no—
977#419—431no—
978#419—431no—
979#419—431no—
980C2×#103—431no—
981C2×#103—431no—
982C2×#103—431no—
983C2×#103—431no—
984#408—431no—
985#408—431no—
986C4×M16—431no—
987C2×#97—431no—
988C43#6088411yescharacteristic, complemented, Sylow
989C2×#41—431no—
990C22×Q8—431no—
991C22×Q8—431no—
992C2×M16—431no—
993C2×M16—431no—
994C22×C8—431no—
995C22×C8—431no—
996C4⋊Q8—21no—
997C4⋊Q8—431no—
998C4⋊Q8—431no—
999C4⋊Q8—431no—
1000C4⋊Q8—431no—
1001C4⋊Q8—431no—
1002C4⋊Q8—431no—
1003C4⋊Q8—431no—
1004C4⋊Q8—431no—
1005C4⋊Q8—431no—
1006C4⋊Q8—861no—
1007C4⋊Q8—861no—
1008C4⋊Q8—861no—
1009C4⋊Q8—861no—
1010C4⋊Q8—861no—
1011C4⋊Q8—861no—
1012C4⋊Q8—861no—
1013C4⋊Q8—861no—
1014C4⋊Q8—861no—
1015C4⋊Q8C22×D4311yescharacteristic
1016C4⋊Q8C22×D4311yescharacteristic
1017C4⋊Q8C22×D4311yescharacteristic
1018#126—21no—
1019#126—21no—
1020#126—861no—
1021#126—861no—
1022#126—861no—
1023#126—861no—
1024#126—861no—
1025#126—861no—
1026#125—21no—
1027#125—21no—
1028#125—21no—
1029#125—431no—
1030#125—431no—
1031#125—431no—
1032#125—431no—
1033#125—431no—
1034#125—431no—
1035#125—431no—
1036#125—431no—
1037#125—431no—
1038#125—861no—
1039#125—861no—
1040#125—861no—
1041#125—861no—
1042#125—861no—
1043#125—861no—
1044#125—861no—
1045#125—861no—
1046#125—861no—
1047#125—861no—
1048#125—861no—
1049#125—861no—
1050#125—861no—
1051#125—861no—
1052#125—861no—
1053#125—861no—
1054#125—861no—
1055#125—861no—
1056#125—861no—
1057#125—861no—
1058#125—861no—
1059#125C22×D4311yescharacteristic
1060#125C22×D4311yescharacteristic
1061#125C22×D4311yescharacteristic
1062#124—861no—
1063#124—861no—
1064#123—861no—
1065#123—861no—
1066#123—861no—
1067#123—861no—
1068C22⋊Q8—21no—
1069C22⋊Q8—21no—
1070C22⋊Q8—431no—
1071C22⋊Q8—431no—
1072C22⋊Q8—431no—
1073C22⋊Q8—431no—
1074C22⋊Q8—431no—
1075C22⋊Q8—431no—
1076C22⋊Q8—861no—
1077C22⋊Q8—861no—
1078C22⋊Q8—861no—
1079C22⋊Q8—861no—
1080C22⋊Q8—861no—
1081C22⋊Q8—861no—
1082C22⋊Q8—861no—
1083C22⋊Q8—861no—
1084C22⋊Q8—861no—
1085C22⋊Q8—861no—
1086C22⋊Q8—861no—
1087C22⋊Q8—861no—
1088C22⋊Q8—861no—
1089C22⋊Q8—861no—
1090C22⋊Q8—861no—
1091C22⋊Q8—861no—
1092C22⋊Q8—861no—
1093C22⋊Q8—861no—
1094C22⋊Q8—861no—
1095C22⋊Q8—861no—
1096C22⋊Q8—861no—
1097C22⋊Q8—861no—
1098C22⋊Q8C22×D4311yescharacteristic
1099C22⋊Q8C22×D4311yescharacteristic
1100C4×Q8—431no—
1101C4×Q8—431no—
1102C4×Q8—431no—
1103C4×Q8—431no—
1104C4×Q8—431no—
1105C4×Q8—431no—
1106C4×Q8—431no—
1107C4×Q8—431no—
1108C4×Q8—861no—
1109C4×Q8—861no—
1110C4×Q8—861no—
1111C4×Q8—861no—
1112C4×Q8—861no—
1113C4×Q8—861no—
1114C4×Q8—861no—
1115C4×Q8—861no—
1116C4×Q8—861no—
1117C4×Q8—861no—
1118C4×Q8—861no—
1119C4×Q8—861no—
1120C4×Q8—861no—
1121C4×Q8—861no—
1122C4×Q8—861no—
1123C4×Q8—861no—
1124C4×Q8—861no—
1125C4×Q8—861no—
1126C4×Q8C22×D4311yescharacteristic
1127C4×Q8C22×D4311yescharacteristic
1128C4×D4—431no—
1129C4×D4—431no—
1130C4×D4—431no—
1131C4×D4—431no—
1132C4×D4—431no—
1133C4×D4—431no—
1134C4×D4—861no—
1135C4×D4—861no—
1136C4×D4—861no—
1137C4×D4—861no—
1138C4×D4—861no—
1139C4×D4—861no—
1140#117—431no—
1141#117—431no—
1142#117—431no—
1143#117—431no—
1144#117—431no—
1145#117—431no—
1146#117—431no—
1147#117—431no—
1148#117—431no—
1149#117—861no—
1150#117—861no—
1151#117—861no—
1152#117—861no—
1153#117—861no—
1154#117—861no—
1155#117—861no—
1156#117—861no—
1157#117C22×D4311yescharacteristic
1158#117C22×D4311yescharacteristic
1159C2×C4⋊C4—431no—
1160C2×C4⋊C4—431no—
1161C2×C4⋊C4—431no—
1162C2×C4⋊C4—431no—
1163C2×C4⋊C4—431no—
1164C2×C4⋊C4—861no—
1165C2×C4⋊C4—861no—
1166C2×C4⋊C4—861no—
1167C2×C4⋊C4—861no—
1168C2×C4⋊C4—861no—
1169C2×C4⋊C4—861no—
1170C2×C4⋊C4—861no—
1171C2×C4⋊C4—861no—
1172C2×C4⋊C4C22×D4311yescharacteristic
1173C2×C42—431no—
1174C2×C42—431no—
1175C2×C42—431no—
1176#107—431no—
1177#107—431no—
1178#107—431no—
1179#107—431no—
1180#107—431no—
1181#107—431no—
1182#107—431no—
1183#107—431no—
1184#107—431no—
1185#107—431no—
1186#107—431no—
1187#107—431no—
1188#107C22×D4311yescharacteristic
1189#107C22×D4311yescharacteristic
1190#107C22×D4311yescharacteristic
1191#107C22×D4311yescharacteristic
1192#106—431no—
1193#106—431no—
1194#106—431no—
1195#106—431no—
1196#106—431no—
1197#106—431no—
1198#106—431no—
1199#106—431no—
1200#106—431no—
1201#106—431no—
1202#106—431no—
1203#106—431no—
1204#106C22×D4311yescharacteristic
1205#106C22×D4311yescharacteristic
1206#106C22×D4311yescharacteristic
1207#106C22×D4311yescharacteristic
1208C4⋊C8—431no—
1209C4⋊C8—431no—
1210C4⋊C8—431no—
1211C4⋊C8—431no—
1212C4⋊C8—431no—
1213C4⋊C8—431no—
1214C4⋊C8C22×D4311yescharacteristic
1215C4⋊C8C22×D4311yescharacteristic
1216#103—431no—
1217#103—431no—
1218#103—431no—
1219#103—431no—
1220#103—431no—
1221#103—431no—
1222#103—431no—
1223#103—431no—
1224#103—431no—
1225#103—431no—
1226#103—431no—
1227#103—431no—
1228#103—431no—
1229#103—431no—
1230#103—431no—
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
1248C22⋊C8—431no—
1249C22⋊C8—431no—
1250C22⋊C8—431no—
1251C22⋊C8—431no—
1252C22⋊C8—431no—
1253C22⋊C8—431no—
1254C22⋊C8C22×D4311yescharacteristic
1255C22⋊C8C22×D4311yescharacteristic
1256#97—431no—
1257#97—431no—
1258#97—431no—
1259#97—431no—
1260#97—431no—
1261#97C22×D4311yescharacteristic
1262C4×C8—431no—
1263C4×C8C22×D4311yescharacteristic
1264#41—862no—
1265#41—862no—
1266C2×Q8—21no—
1267C2×Q8—21no—
1268C2×Q8—431no—
1269C2×Q8—431no—
1270C2×Q8—431no—
1271C2×Q8—861no—
1272C2×Q8—861no—
1273C2×Q8—861no—
1274C2×Q8—861no—
1275C2×Q8—861no—
1276C2×Q8—861no—
1277C2×Q8—862no—
1278C2×Q8—862no—
1279C2×Q8—862no—
1280C2×Q8—862no—
1281C2×Q8—861no—
1282C2×Q8—861no—
1283C2×Q8C23×D4311yescharacteristic
1284C2×Q8C23×D4311yescharacteristic
1285C2×D4—431no—
1286C2×D4—431no—
1287C2×D4—431no—
1288C22×C4—21no—
1289C22×C4—431no—
1290C22×C4—431no—
1291C22×C4—431no—
1292C22×C4—431no—
1293C22×C4—431no—
1294C22×C4—431no—
1295C22×C4—431no—
1296C22×C4—431no—
1297C22×C4—861no—
1298C22×C4—861no—
1299C22×C4—861no—
1300C22×C4—861no—
1301C22×C4—861no—
1302C22×C4—861no—
1303C22×C4—861no—
1304C22×C4C23×D4311yescharacteristic
1305M16—862no—
1306M16—862no—
1307C2×C8—431no—
1308C2×C8—431no—
1309C2×C8—431no—
1310C2×C8—431no—
1311C2×C8—862no—
1312C2×C8—862no—
1313C2×C8C23×D4311yescharacteristic
1314C2×C8C23×D4311yescharacteristic
1315C2×C8C23×D4311yescharacteristic
1316C2×C8C23×D4311yescharacteristic
1317C4⋊C4—21no—
1318C4⋊C4—21no—
1319C4⋊C4—21no—
1320C4⋊C4—21no—
1321C4⋊C4—21no—
1322C4⋊C4—21no—
1323C4⋊C4—21no—
1324C4⋊C4—21no—
1325C4⋊C4—21no—
1326C4⋊C4—21no—
1327C4⋊C4—21no—
1328C4⋊C4—21no—
1329C4⋊C4—21no—
1330C4⋊C4—21no—
1331C4⋊C4—21no—
1332C4⋊C4—431no—
1333C4⋊C4—431no—
1334C4⋊C4—431no—
1335C4⋊C4—431no—
1336C4⋊C4—431no—
1337C4⋊C4—431no—
1338C4⋊C4—431no—
1339C4⋊C4—431no—
1340C4⋊C4—431no—
1341C4⋊C4—431no—
1342C4⋊C4—861no—
1343C4⋊C4—861no—
1344C4⋊C4—861no—
1345C4⋊C4—861no—
1346C4⋊C4—861no—
1347C4⋊C4—861no—
1348C4⋊C4—861no—
1349C4⋊C4—861no—
1350C4⋊C4—861no—
1351C4⋊C4—861no—
1352C4⋊C4—861no—
1353C4⋊C4—861no—
1354C4⋊C4—861no—
1355C4⋊C4—861no—
1356C4⋊C4—861no—
1357C4⋊C4—861no—
1358C4⋊C4—861no—
1359C4⋊C4—861no—
1360C4⋊C4—861no—
1361C4⋊C4—861no—
1362C4⋊C4—861no—
1363C4⋊C4—861no—
1364C4⋊C4—861no—
1365C4⋊C4—861no—
1366C4⋊C4—861no—
1367C4⋊C4—861no—
1368C4⋊C4—861no—
1369C4⋊C4—861no—
1370C4⋊C4—861no—
1371C4⋊C4—861no—
1372C4⋊C4—861no—
1373C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1390C4⋊C4D4×D4311yescharacteristic
1391C4⋊C4C23×D4311yescharacteristic
1392C4⋊C4C23×D4311yescharacteristic
1393C4⋊C4C23×D4311yescharacteristic
1394C4⋊C4C23×D4311yescharacteristic
1395C4⋊C4C23×D4311yescharacteristic
1396C4⋊C4C23×D4311yescharacteristic
1397C22⋊C4—21no—
1398C22⋊C4—21no—
1399C22⋊C4—21no—
1400C22⋊C4—431no—
1401C22⋊C4—431no—
1402C22⋊C4—431no—
1403C22⋊C4—431no—
1404C22⋊C4—861no—
1405C22⋊C4—861no—
1406C22⋊C4—861no—
1407C22⋊C4—861no—
1408C22⋊C4—861no—
1409C22⋊C4—861no—
1410C22⋊C4—861no—
1411C22⋊C4—861no—
1412C22⋊C4—861no—
1413C22⋊C4—861no—
1414C22⋊C4—861no—
1415C22⋊C4—861no—
1416C22⋊C4—861no—
1417C22⋊C4D4×D4311yescharacteristic
1418C22⋊C4D4×D4311yescharacteristic
1419C42—21no—
1420C42—21no—
1421C42—21no—
1422C42—431no—
1423C42—431no—
1424C42—431no—
1425C42—431no—
1426C42—431no—
1427C42—431no—
1428C42—431no—
1429C42—431no—
1430C42—861no—
1431C42—861no—
1432C42—861no—
1433C42—861no—
1434C42—861no—
1435C42—861no—
1436C42—861no—
1437C42—861no—
1438C42—861no—
1439C42—861no—
1440C42—861no—
1441C42—861no—
1442C42—861no—
1443C42C23×D4311yescharacteristic
1444C42C23×D4311yescharacteristic
1445C23—431no—
1446C23—431no—
1447C23C2×D4×D4311yescharacteristic
1448Q8—21no—
1449Q8—21no—
1450Q8—21no—
1451Q8—21no—
1452Q8—81no—
1453Q8—81no—
1454Q8—862no—
1455Q8—861no—
1456Q8—861no—
1457Q8—861no—
1458Q8—861no—
1459Q8—3441no—
1460Q8—3441no—
1461Q8—3441no—
1462Q8—3441no—
1463Q8—1722no—
1464Q8—1722no—
1465Q8—1722no—
1466Q8—1722no—
1467D4—862no—
1468D4—862no—
1469D4—862no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—81no—
1481C2×C4—431no—
1482C2×C4—432no—
1483C2×C4—432no—
1484C2×C4—431no—
1485C2×C4—431no—
1486C2×C4—431no—
1487C2×C4—431no—
1488C2×C4—431no—
1489C2×C4—861no—
1490C2×C4—861no—
1491C2×C4—861no—
1492C2×C4—861no—
1493C2×C4—861no—
1494C2×C4—861no—
1495C2×C4—861no—
1496C2×C4—861no—
1497C2×C4—861no—
1498C2×C4—861no—
1499C2×C4—3441no—
1500C2×C4—3441no—
1501C2×C4—3441no—
1502C2×C4—3441no—
1503C2×C4—3441no—
1504C2×C4—1721no—
1505C2×C4—1721no—
1506C2×C4—1721no—
1507C2×C4—1721no—
1508C2×C4—1722no—
1509C2×C4—1722no—
1510C2×C4—1721no—
1511C2×C4—1721no—
1512C2×C4C2×D4×D4311yescharacteristic
1513C2×C4C2×D4×D4311yescharacteristic
1514C2×C4C2×D4×D4311yescharacteristic
1515C2×C4C2×D4×D4311yescharacteristic
1516C2×C4C2×D4×D4311yescharacteristic
1517C2×C4C24×D4311yescharacteristic
1518C8—21no—
1519C8—21no—
1520C8—21no—
1521C8—21no—
1522C8—861no—
1523C8—861no—
1524C8—861no—
1525C8—861no—
1526C22—21no—
1527C22—21no—
1528C22—21no—
1529C22—432no—
1530C22—861no—
1531C22—861no—
1532C22—861no—
1533C22—861no—
1534C22—861no—
1535C22C22×D4×D4311yescharacteristic
1536C4—21no—
1537C4—21no—
1538C4—21no—
1539C4—21no—
1540C4—21no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—432no—
1550C4—861no—
1551C4—861no—
1552C4—861no—
1553C4—861no—
1554C4—861no—
1555C4—1721no—
1556C4—1721no—
1557C4—1721no—
1558C4—1721no—
1559C4—1721no—
1560C4—1721no—
1561C4—1721no—
1562C4—1721no—
1563C42−1+4×D4311yescharacteristic
1564C42−1+4×D4311yescharacteristic
1565C2—41no—
1566C2—862no—
1567C2—1721no—
1568C2#536×D4311yescharacteristic
1569C2#1914937711yescharacteristic
1570C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3242C2
socleC22×C43C23×D4
prime radicalC2×#10621898C23
hypercenter#3242D43
hypocenterC43#60884
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3242

Complements

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

NH ≅ G/Ntype
3. #19145866C2semidirect
4. #19145865C2semidirect
5. #19145864C2semidirect
6. #19145863C2semidirect
7. #19145858C2semidirect
8. #19145857C2semidirect
9. #19145856C2semidirect
10. #19145808C2semidirect
11. #19145807C2semidirect
12. #19145806C2semidirect
13. #19145806C2semidirect
14. #19145800C2semidirect
15. #19145799C2semidirect
16. #19145799C2semidirect
17. #19145798C2semidirect
18. #19145143C2semidirect
19. #19145116C2semidirect
20. #19144972C2semidirect
21. #491×D43C2semidirect
26. #19144436C2semidirect
27. #19144434C2semidirect
28. #19144432C2semidirect
29. #19144430C2semidirect
31. C43×#3242C2semidirect
789. #3242D43semidirect
988. C43#60884semidirect

Maximal subgroups

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

subgroupindex
#191484772
#191484182
#191458662
#191458652
#191458642
#191458632
#191458582
#191458572
#191458562
#191458082
#191458072
#191458062
#191458002
#191457992
#191457982
#191451432
#191451162
#191449722
#491×D432
#191445632
#191445612
#191445592
#191445572
#191444362
#191444342
#191444322
#191444302
#191432432
C43×#32422
#6088443