Finite Group Databasebeta

← #25969242

Subgroups — #25969242

Order 11008.

1678 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148514C211yesmaximal, characteristic
2#19148410C211yesmaximal, characteristic, complemented
3#19145866C211yesmaximal, characteristic, complemented
4#19145865C211yesmaximal, characteristic, complemented
5#19145864C211yesmaximal, characteristic, complemented
6#19145863C211yesmaximal, characteristic, complemented
7#19145843C211yesmaximal, characteristic, complemented
8#19145842C211yesmaximal, characteristic, complemented
9#19145841C211yesmaximal, characteristic, complemented
10#19145834C211yesmaximal, characteristic, complemented
11#19145834C211yesmaximal, characteristic, complemented
12#19145833C211yesmaximal, characteristic, complemented
13#19145833C211yesmaximal, characteristic, complemented
14#19145824C211yesmaximal, characteristic, complemented
15#19145823C211yesmaximal, characteristic, complemented
16#19145815C211yesmaximal, characteristic, complemented
17#19145814C211yesmaximal, characteristic, complemented
18#19145143C211yesmaximal, characteristic, complemented
19#501×D43C211yesmaximal, characteristic, complemented
20#19144985C211yesmaximal, characteristic, complemented
21#19144939C211yesmaximal, characteristic, complemented
22#19144587C211yesmaximal, characteristic, complemented
23#19144585C211yesmaximal, characteristic, complemented
24#19144570C211yesmaximal, characteristic, complemented
25#19144568C211yesmaximal, characteristic, complemented
26#19144458C211yesmaximal, characteristic, complemented
27#19144452C211yesmaximal, characteristic, complemented
28#19144447C211yesmaximal, characteristic, complemented
29#19144441C211yesmaximal, characteristic, complemented
30#19143243C211yesmaximal, characteristic, complemented
31C43×#3241C211yesmaximal, characteristic, complemented
32#14583629—21no—
33#14583626—21no—
34#14583605—21no—
35#14583603—21no—
36#14583603—21no—
37#14583596—21no—
38#14583596—21no—
39#14583594—21no—
40#14583594—21no—
41#14583592—21no—
42#14583592—21no—
43#14583586—21no—
44#14583586—21no—
45#14583564—21no—
46#14583562—21no—
47#14583562—21no—
48#14583529C2211yescharacteristic
49#14583529C2211yescharacteristic
50#14583527C2211yescharacteristic
51#14583526C2211yescharacteristic
52#14583526C2211yescharacteristic
53#14583512C2211yescharacteristic
54#14583511C2211yescharacteristic
55#14583503C2211yescharacteristic
56#14583478C2211yescharacteristic
57#14583478C2211yescharacteristic
58#14583455C2211yescharacteristic
59#14583455C2211yescharacteristic
60#14583452C2211yescharacteristic
61#14583447C2211yescharacteristic
62C2×#13063324C2211yescharacteristic
63C4⋊Q8×D43C2211yescharacteristic
64C4⋊Q8×D43C2211yescharacteristic
65#14583431C2211yescharacteristic
66#14583431C2211yescharacteristic
67#14583430C2211yescharacteristic
68#14583430C2211yescharacteristic
69#125×D43C2211yescharacteristic
70#14583380C2211yescharacteristic
71#14583379C2211yescharacteristic
72#14583378C2211yescharacteristic
73#14583378C2211yescharacteristic
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#14583263C2211yescharacteristic
92#14583257C2211yescharacteristic
93#14583257C2211yescharacteristic
94#14583257C2211yescharacteristic
95#14583257C2211yescharacteristic
96#14583257C2211yescharacteristic
97#14583257C2211yescharacteristic
98#14583257C2211yescharacteristic
99#14583257C2211yescharacteristic
100#14583251C2211yescharacteristic
101#14583250C2211yescharacteristic
102#14583245C2211yescharacteristic
103#14583243C2211yescharacteristic
104#14583243C2211yescharacteristic
105#14583242C2211yescharacteristic
106#14583242C2211yescharacteristic
107#14583241C2211yescharacteristic
108#14583241C2211yescharacteristic
109#14583240C2211yescharacteristic
110#14583240C2211yescharacteristic
111#14583236C2211yescharacteristic
112#14583236C2211yescharacteristic
113#14583235C2211yescharacteristic
114#14583234C2211yescharacteristic
115#14583231C2211yescharacteristic
116#14583231C2211yescharacteristic
117#14583230C2211yescharacteristic
118#14583229C2211yescharacteristic
119#14583222C2211yescharacteristic
120#14583222C2211yescharacteristic
121#14583221C2211yescharacteristic
122#14583221C2211yescharacteristic
123#14583220C2211yescharacteristic
124#14583220C2211yescharacteristic
125#14583216C2211yescharacteristic
126#14583216C2211yescharacteristic
127#14583215C2211yescharacteristic
128#14583211C2211yescharacteristic
129#14583211C2211yescharacteristic
130#14583210C2211yescharacteristic
131#14583209C2211yescharacteristic
132#14583209C2211yescharacteristic
133#14583207C2211yescharacteristic
134#14583207C2211yescharacteristic
135#14583205C2211yescharacteristic
136#14583205C2211yescharacteristic
137#14583203C2211yescharacteristic
138#14583203C2211yescharacteristic
139#14583201C2211yescharacteristic
140#14583201C2211yescharacteristic
141#14583199C2211yescharacteristic
142#14583199C2211yescharacteristic
143#14583197C2211yescharacteristic
144#14583197C2211yescharacteristic
145#14583195C2211yescharacteristic
146#14583193C2211yescharacteristic
147#14583193C2211yescharacteristic
148#14583191C2211yescharacteristic
149#14583189C2211yescharacteristic
150#14583187C2211yescharacteristic
151#14583187C2211yescharacteristic
152#14583185C2211yescharacteristic
153#14583183C2211yescharacteristic
154#14583183C2211yescharacteristic
155#14583181C2211yescharacteristic
156#14583179C2211yescharacteristic
157#14583177C2211yescharacteristic
158#14583177C2211yescharacteristic
159#14582961C2211yescharacteristic
160#14582960C2211yescharacteristic
161#14582958C2211yescharacteristic
162#14582955C2211yescharacteristic
163#14582955C2211yescharacteristic
164#14582953C2211yescharacteristic
165#14582953C2211yescharacteristic
166#14582940C2211yescharacteristic
167#14582940C2211yescharacteristic
168#14582938C2211yescharacteristic
169#14582938C2211yescharacteristic
170#107×D43C2211yescharacteristic
171#107×D43C2211yescharacteristic
172#106×D43C2211yescharacteristic
173#106×D43C2211yescharacteristic
174#14582924C2211yescharacteristic
175#14582924C2211yescharacteristic
176#14582897C2211yescharacteristic
177#14582897C2211yescharacteristic
178#14582897C2211yescharacteristic
179#14582897C2211yescharacteristic
180#14582892C2211yescharacteristic
181#14582892C2211yescharacteristic
182#14582892C2211yescharacteristic
183#14582892C2211yescharacteristic
184#14582864C2211yescharacteristic
185#14582864C2211yescharacteristic
186C4×#10621872C2211yescharacteristic
187#97×D43C2211yescharacteristic
188C43×#544C2211yescharacteristic
189C43×#540C2211yescharacteristic
190C43×#501C2211yescharacteristic
191C43×#499C2211yescharacteristic
192C43×#490C2211yescharacteristic
193C43×#486C2211yescharacteristic
194C43×#482C2211yescharacteristic
195C43×#482C2211yescharacteristic
196C43×#481C2211yescharacteristic
197C43×#480C2211yescharacteristic
198C43×#478C2211yescharacteristic
199C43×#478C2211yescharacteristic
200C43×#476C2211yescharacteristic
201C43×#474C2211yescharacteristic
202C43×#433C2211yescharacteristic
203C2×#10621898C2311yescharacteristic
204C2×#10621900C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C22×Dic86—21no—
207C2×Q8×D43—21no—
208C2×Q8×D43—21no—
209C2×#10621872C2311yescharacteristic
210C2×#10621872C2311yescharacteristic
211C2×C8×D43C2311yescharacteristic
212C2×C8×D43C2311yescharacteristic
213#13063325C2311yescharacteristic
214#13063325C2311yescharacteristic
215#13063325C2311yescharacteristic
216#13063324—21no—
217#13063324—21no—
218#13063324—21no—
219#13063324—21no—
220#13063324—21no—
221#13063324—21no—
222#13063324—21no—
223#13063324C2311yescharacteristic
224#13063324C2311yescharacteristic
225#13063324C2311yescharacteristic
226#13063324C2311yescharacteristic
227#13063324C2311yescharacteristic
228#13063324C2311yescharacteristic
229#13063323—21no—
230#13063323—21no—
231#13063323—21no—
232#13063323—21no—
233#13063320—21no—
234#13063320—21no—
235#13063318—21no—
236#13063318—21no—
237#13063318—21no—
238#13063318—21no—
239#13063318—21no—
240#13063318—21no—
241#13063317C2311yescharacteristic
242#13063317C2311yescharacteristic
243#13063317C2311yescharacteristic
244#13063316—21no—
245#13063316—21no—
246#13063316—21no—
247#13063316C2311yescharacteristic
248#13063316C2311yescharacteristic
249#13063316C2311yescharacteristic
250#13063316C2311yescharacteristic
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#13063312C2311yescharacteristic
260#13063312C2311yescharacteristic
261#13063307—21no—
262#13063307—21no—
263#13063306—21no—
264#13063306—21no—
265#13063306—21no—
266#13063306—21no—
267#13063305—21no—
268#13063305—21no—
269#13063305C2311yescharacteristic
270#13063305C2311yescharacteristic
271#13063304C2311yescharacteristic
272#13063304C2311yescharacteristic
273#13063303—21no—
274#13063303—21no—
275#13063303—21no—
276#13063303—21no—
277#13063303—21no—
278#13063303—21no—
279#13063303—21no—
280#13063303—21no—
281#13063302—21no—
282#13063302—21no—
283#13063302—21no—
284#13063302—21no—
285#13063302—21no—
286#13063302—21no—
287#13063301—21no—
288#13063301—21no—
289#13063298—21no—
290#13063298—21no—
291#13063297—21no—
292#13063297—21no—
293#13063297—21no—
294#13063297—21no—
295#13063296—21no—
296#13063296—21no—
297#13063296—21no—
298#13063296—21no—
299#13063296C2311yescharacteristic
300#13063296C2311yescharacteristic
301C4×Dic86—21no—
302C4×Dic86—21no—
303C4×Dic86—21no—
304C4×Dic86C2311yescharacteristic
305C4×Dic86C2311yescharacteristic
306#13063290—21no—
307#13063290—21no—
308#13063290—21no—
309#13063290—21no—
310#13063290—21no—
311#13063290D411yescharacteristic
312#13063290D411yescharacteristic
313#13063290C2311yescharacteristic
314#13063290C2311yescharacteristic
315C4×D172—21no—
316D4×Dic43—21no—
317D4×Dic43—21no—
318D4×Dic43—21no—
319D4×Dic43—21no—
320D4×Dic43C2311yescharacteristic
321D4×Dic43C2311yescharacteristic
322#13063287—21no—
323#13063287D411yescharacteristic
324#13063287D411yescharacteristic
325C4×C22⋊D43—21no—
326C4×C22⋊D43—21no—
327C4×C22⋊D43—21no—
328C4×C22⋊D43—21no—
329C4×C22⋊D43—21no—
330C4×C22⋊D43—21no—
331(C22⋊D43)⋊C4—21no—
332(C22⋊D43)⋊C4—21no—
333(C22⋊D43)⋊C4—21no—
334(C22⋊D43)⋊C4—21no—
335(C22⋊D43)⋊C4D411yescharacteristic
336(C22⋊D43)⋊C4D411yescharacteristic
337(C22⋊D43)⋊C4D411yescharacteristic
338(C22⋊D43)⋊C4D411yescharacteristic
339#13063284—21no—
340#13063284—21no—
341#13063284C2311yescharacteristic
342#13063283C2311yescharacteristic
343#13063283C2311yescharacteristic
344#13063283C2311yescharacteristic
345#13063283C2311yescharacteristic
346#13063282C2311yescharacteristic
347#13063282C2311yescharacteristic
348#13063281—21no—
349#13063281—21no—
350#13063281—21no—
351#13063281—21no—
352C2×C4⋊Dic43C2311yescharacteristic
353C2×Dic43⋊C4—21no—
354C2×Dic43⋊C4—21no—
355C2×Dic43⋊C4—21no—
356C4⋊C4×D43—21no—
357C4⋊C4×D43—21no—
358C4⋊C4×D43—21no—
359C4⋊C4×D43—21no—
360C4⋊C4×D43C2311yescharacteristic
361C4⋊C4×D43C2311yescharacteristic
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#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
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
438#127×C43C2311yescharacteristic
439#125×C43—21no—
440#125×C43C2311yescharacteristic
441#125×C43C2311yescharacteristic
442#125×C43C2311yescharacteristic
443#123×C43—21no—
444#123×C43—21no—
445C22⋊Q8×C43—21no—
446C22⋊Q8×C43—21no—
447#121×C43—21no—
448#121×C43—21no—
449#121×C43C2311yescharacteristic
450#121×C43C2311yescharacteristic
451C4×D4×C43C2311yescharacteristic
452C4×D4×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#102×C43C2311yescharacteristic
467#102×C43C2311yescharacteristic
468#102×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C2×Q8×C43—21no—
479C2×Q8×C43—21no—
480C2×D4×C43—21no—
481C2×D4×C43—21no—
482C2×D4×C43—21no—
483C2×D4×C43—21no—
484C2×D4×C43C2411yescharacteristic
485C2×D4×C43C2411yescharacteristic
486C22×C4×C43—21no—
487C22×C4×C43—21no—
488C22×C4×C43—21no—
489C22×C4×C43C2411yescharacteristic
490C2×C22⋊D43—21no—
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43C2×D411yescharacteristic
495C2×C22⋊D43C2×D411yescharacteristic
496C22×Dic43—21no—
497C22×Dic43—21no—
498C22×Dic43—21no—
499C22×Dic43—21no—
500C22×Dic43—21no—
501C22×Dic43C2×D411yescharacteristic
502C22×Dic43C2×D411yescharacteristic
503Q8×D43—82no—
504Q8×D43—82no—
505#10621900—22no—
506#10621900—22no—
507#10621900—22no—
508#10621900—22no—
509#10621898—22no—
510#10621898—22no—
511C2×D172C2×D411yescharacteristic
512C2×C4×D43—21no—
513C2×C4×D43—21no—
514C2×C4×D43—21no—
515C2×C4×D43—21no—
516C2×C4×D43—21no—
517C2×C4×D43—21no—
518C2×C4×D43C2×D411yescharacteristic
519C2×C4×D43C2×D411yescharacteristic
520C2×C4×D43C2×D411yescharacteristic
521C2×C4×D43C2×D411yescharacteristic
522C2×C4×D43C2411yescharacteristic
523C2×C4×D43C2411yescharacteristic
524C2×Dic86—21no—
525C2×Dic86—21no—
526C2×Dic86—21no—
527C2×Dic86—21no—
528C2×Dic86—21no—
529C2×Dic86—21no—
530C2×Dic86—21no—
531C2×Dic86—21no—
532C2×Dic86—82no—
533C2×Dic86C2×D411yescharacteristic
534C2×Dic86C2411yescharacteristic
535C2×Dic86C2411yescharacteristic
536C2×C8×C43C2411yescharacteristic
537C2×C8×C43C2411yescharacteristic
538C2×C8×C43C2411yescharacteristic
539C2×C8×C43C2411yescharacteristic
540C4⋊C4×C43—21no—
541C4⋊C4×C43—21no—
542C4⋊C4×C43—21no—
543C4⋊C4×C43—21no—
544C4⋊C4×C43—21no—
545C4⋊C4×C43—21no—
546C4⋊C4×C43—21no—
547C4⋊C4×C43—21no—
548C4⋊C4×C43—21no—
549C4⋊C4×C43C2×D411yescharacteristic
550C4⋊C4×C43C2×D411yescharacteristic
551C4⋊C4×C43C2411yescharacteristic
552C4⋊C4×C43C2411yescharacteristic
553C4⋊C4×C43C2411yescharacteristic
554C4⋊C4×C43C2411yescharacteristic
555C4⋊C4×C43C2411yescharacteristic
556C4⋊C4×C43C2411yescharacteristic
557C22⋊C4×C43—21no—
558C22⋊C4×C43—21no—
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C22⋊C4×C43C2×D411yescharacteristic
563C22⋊C4×C43C2×D411yescharacteristic
564C42×C43—21no—
565C42×C43C2411yescharacteristic
566C42×C43C2411yescharacteristic
567C22⋊Dic43—21no—
568C22⋊Dic43—21no—
569C22⋊Dic43—21no—
570C22⋊Dic43—21no—
571C22⋊Dic43—21no—
572C22⋊Dic43—21no—
573C22⋊Dic43—21no—
574C22⋊Dic43—21no—
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43—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)⋊C4C2×D411yescharacteristic
585(C2×D43)⋊C4C2×D411yescharacteristic
586(C2×D43)⋊C4C2×D411yescharacteristic
587(C2×D43)⋊C4C2×D411yescharacteristic
588C4⋊Dic43—21no—
589C4⋊Dic43—21no—
590C4⋊Dic43—21no—
591C4⋊Dic43—21no—
592C4⋊Dic43—21no—
593C4⋊Dic43—21no—
594C4⋊Dic43—21no—
595C4⋊Dic43—21no—
596C4⋊Dic43—21no—
597C4⋊Dic43—21no—
598C4⋊Dic43—21no—
599C4⋊Dic43C2411yescharacteristic
600C4⋊Dic43C2411yescharacteristic
601C4⋊Dic43C2411yescharacteristic
602C4⋊Dic43C2411yescharacteristic
603C4⋊Dic43C2411yescharacteristic
604C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4C2×D411yescharacteristic
634Dic43⋊C4C2×D411yescharacteristic
635Dic43⋊C4C2×D411yescharacteristic
636Dic43⋊C4C2×D411yescharacteristic
637C4×Dic43—21no—
638C4×Dic43—21no—
639C4×Dic43—21no—
640C4×Dic43—21no—
641C4×Dic43—21no—
642C4×Dic43—21no—
643C4×Dic43—21no—
644C4×Dic43—21no—
645C4×Dic43—21no—
646C4×Dic43C2×D411yescharacteristic
647C4×Dic43C2×D411yescharacteristic
648C4×Dic43C2×D411yescharacteristic
649C4×Dic43C2×D411yescharacteristic
650C4×Dic43C2×D411yescharacteristic
651C4×Dic43C2×D411yescharacteristic
652C4×Dic43C2411yescharacteristic
653C4×Dic43C2411yescharacteristic
654C2×C43⋊C8C2411yescharacteristic
655C2×C43⋊C8C2411yescharacteristic
656C2×C43⋊C8C2411yescharacteristic
657C2×C43⋊C8C2411yescharacteristic
658#10621872—22no—
659#10621872—22no—
660C8×D43—22no—
661C8×D43—22no—
662C23×C43—21no—
663C23×C43—21no—
664C23×C43C22×D411yescharacteristic
665C22×D43C22×D411yescharacteristic
666C22×D43C22×D411yescharacteristic
667Q8×C43—81no—
668Q8×C43—81no—
669D4×C43—21no—
670D4×C43—21no—
671D4×C43—21no—
672D4×C43—21no—
673D4×C43—81no—
674D4×C43—81no—
675D4×C43—81no—
676D4×C43—81no—
677C2×C4×C43—21no—
678C2×C4×C43—21no—
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—81no—
686C2×C4×C43—81no—
687C2×C4×C43—81no—
688C2×C4×C43C22×D411yescharacteristic
689C2×C4×C43C22×D411yescharacteristic
690C2×C4×C43C22×D411yescharacteristic
691C2×C4×C43C22×D411yescharacteristic
692C2×C4×C43C22×D411yescharacteristic
693C2×C4×C43C2511yescharacteristic
694C22⋊D43—22no—
695C22⋊D43—22no—
696C22⋊D43—42no—
697C22⋊D43—42no—
698C22⋊D43—81no—
699C22⋊D43—81no—
700C2×Dic43—21no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—21no—
704C2×Dic43—21no—
705C2×Dic43—21no—
706C2×Dic43—21no—
707C2×Dic43—21no—
708C2×Dic43—41no—
709C2×Dic43—41no—
710C2×Dic43—42no—
711C2×Dic43—42no—
712C2×Dic43—81no—
713C2×Dic43—81no—
714C2×Dic43—81no—
715C2×Dic43C22×D411yescharacteristic
716C2×Dic43C22×D411yescharacteristic
717C2×Dic43C22×D411yescharacteristic
718C2×Dic43C22×D411yescharacteristic
719C2×Dic43C22×D411yescharacteristic
720C2×Dic43C22×D411yescharacteristic
721D172—22no—
722C4×D43—21no—
723C4×D43—21no—
724C4×D43—41no—
725C4×D43—41no—
726C4×D43—41no—
727C4×D43—41no—
728C4×D43—81no—
729C4×D43—81no—
730C4×D43—81no—
731C4×D43—81no—
732C4×D43—81no—
733C4×D43—81no—
734C4×D432−1+412yes—
735C4×D432−1+412yes—
736Dic86—22no—
737Dic86—21no—
738Dic86—21no—
739Dic86—21no—
740Dic86—21no—
741Dic86—42no—
742Dic86—42no—
743Dic86—42no—
744Dic86—42no—
745Dic86—81no—
746Dic86—81no—
747Dic86—81no—
748Dic86—81no—
749C8×C43—21no—
750C8×C43—21no—
751C8×C43—21no—
752C8×C43—21no—
753C43⋊C8—21no—
754C43⋊C8—21no—
755C43⋊C8—21no—
756C43⋊C8—21no—
757#60887—431nomaximal, Sylow
758C22×C43—21no—
759C22×C43—21no—
760C22×C43—21no—
761C22×C43—41no—
762C22×C43—41no—
763C22×C43—41no—
764C22×C43—41no—
765C22×C43—41no—
766C22×C43—41no—
767C22×C43C23×D411yescharacteristic
768C2×D43—21no—
769C2×D43—21no—
770C2×D43—21no—
771C2×D43—21no—
772C2×D43—21no—
773C2×D43#53612yes—
774C4×C43—21no—
775C4×C43—21no—
776C4×C43—21no—
777C4×C43—21no—
778C4×C43—21no—
779C4×C43—41no—
780C4×C43—41no—
781C4×C43—41no—
782C4×C43—41no—
783C4×C43—41no—
784C4×C43—41no—
785C4×C43C2×2−1+411yescharacteristic
786C4×C43C2×2−1+411yescharacteristic
787Dic43—21no—
788Dic43—21no—
789Dic43—21no—
790Dic43—21no—
791Dic43—21no—
792Dic43—41no—
793Dic43—41no—
794Dic43—41no—
795Dic43—41no—
796Dic43—41no—
797Dic43—41no—
798Dic43—41no—
799Dic43—41no—
800Dic43#53612yes—
801#3512—431no—
802#3503—431no—
803#3242—431no—
804#3242—431no—
805#3242—431no—
806#3242—431no—
807#3241—431no—
808#3241—431no—
809#3241—431no—
810#3241D4311yescharacteristic, complemented
811#3240—431no—
812#3240—431no—
813#3240—431no—
814#3240—431no—
815#3239—431no—
816#3239—431no—
817#3238—431no—
818#3238—431no—
819#3166—431no—
820C2×#501—431no—
821#3141—431no—
822#3135—431no—
823#3099—431no—
824#3099—431no—
825#3098—431no—
826#3098—431no—
827#3084—431no—
828#3084—431no—
829#3083—431no—
830#3083—431no—
831#2923—431no—
832C2×C43—41no—
833C2×C43—81no—
834C2×C43—81no—
835C2×C43C2×#53611yescharacteristic
836C2×C43#358511yescharacteristic
837C2×C43#358611yescharacteristic
838D43—22no—
839D43—41no—
840Q82—861no—
841#557—861no—
842#554—861no—
843#554—861no—
844#554—861no—
845#553—861no—
846#553—861no—
847#553—861no—
848#553—861no—
849#553—861no—
850#553—861no—
851#552—861no—
852#552—861no—
853D4×Q8—861no—
854D4×Q8—861no—
855D4×Q8—861no—
856#544—431no—
857#544—431no—
858#544—431no—
859#544—431no—
860#544—431no—
861#544C2×D4311yescharacteristic
862#541—431no—
863#541—431no—
864#540—431no—
865#540C2×D4311yescharacteristic
866#537—431no—
867#537—431no—
868#533—431no—
869#533—431no—
870#533—431no—
871#532—431no—
872C2×C4⋊Q8—431no—
873C2×C4⋊Q8—431no—
874C2×C4⋊Q8—431no—
875#529—431no—
876#529—431no—
877#529—431no—
878#529—431no—
879C2×#125—431no—
880#520—431no—
881#520—431no—
882#520—431no—
883#520—431no—
884C4×#41—431no—
885#501—431no—
886#501—431no—
887#501—431no—
888#501—431no—
889#501—431no—
890#501—431no—
891#501—431no—
892#501—431no—
893#501—431no—
894#501—431no—
895#501—431no—
896#501C2×D4311yescharacteristic
897#499—431no—
898#499—431no—
899#499—431no—
900#499C2×D4311yescharacteristic
901#491—431no—
902#491—431no—
903#490—431no—
904#490C2×D4311yescharacteristic
905#489—431no—
906#489—431no—
907#489—431no—
908#489—431no—
909#489—431no—
910#489—431no—
911#489—431no—
912#489—431no—
913#487—431no—
914#487—431no—
915#486—431no—
916#486C2×D4311yescharacteristic
917#485—431no—
918#485—431no—
919#485—431no—
920#485—431no—
921#485—431no—
922#485—431no—
923#485—431no—
924#485—431no—
925#484—431no—
926#484—431no—
927#484—431no—
928#484—431no—
929#483—431no—
930#483—431no—
931#483—431no—
932#483—431no—
933#482—431no—
934#482—431no—
935#482—431no—
936#482—431no—
937#482—431no—
938#482—431no—
939#482C2×D4311yescharacteristic
940#482C2×D4311yescharacteristic
941#481—431no—
942#481—431no—
943#481—431no—
944#481C2×D4311yescharacteristic
945#480—431no—
946#480—431no—
947#480—431no—
948#480C2×D4311yescharacteristic
949#479—431no—
950#479—431no—
951#479—431no—
952#479—431no—
953#479—431no—
954#479—431no—
955#479—431no—
956#479—431no—
957#478—431no—
958#478—431no—
959#478—431no—
960#478—431no—
961#478—431no—
962#478—431no—
963#478C2×D4311yescharacteristic
964#478C2×D4311yescharacteristic
965#477—431no—
966#477—431no—
967#477—431no—
968#477—431no—
969#476—431no—
970#476—431no—
971#476—431no—
972#476C2×D4311yescharacteristic
973#475—431no—
974#475—431no—
975#475—431no—
976#475—431no—
977#474—431no—
978#474—431no—
979#474—431no—
980#474C2×D4311yescharacteristic
981#433—431no—
982#433—431no—
983#433—431no—
984#433C2×D4311yescharacteristic
985#432—431no—
986#432—431no—
987#432—431no—
988#432—431no—
989#428—431no—
990#428—431no—
991#428—431no—
992#428—431no—
993C2×#107—431no—
994C2×#107—431no—
995C2×#106—431no—
996C2×#106—431no—
997#424—431no—
998#424—431no—
999#417—431no—
1000#417—431no—
1001#417—431no—
1002#417—431no—
1003#416—431no—
1004#416—431no—
1005#416—431no—
1006#416—431no—
1007#408—431no—
1008#408—431no—
1009C4×M16—431no—
1010C2×#97—431no—
1011C43#6088711yescharacteristic, complemented, Sylow
1012C2×#41—431no—
1013C2×#41—431no—
1014C2×#41—431no—
1015C22×Q8—861no—
1016C22×Q8—861no—
1017C22×Q8—861no—
1018C2×M16—431no—
1019C2×M16—431no—
1020C22×C8—431no—
1021C22×C8—431no—
1022C4⋊Q8—21no—
1023C4⋊Q8—431no—
1024C4⋊Q8—431no—
1025C4⋊Q8—431no—
1026C4⋊Q8—431no—
1027C4⋊Q8—431no—
1028C4⋊Q8—431no—
1029C4⋊Q8—431no—
1030C4⋊Q8—431no—
1031C4⋊Q8—431no—
1032C4⋊Q8—861no—
1033C4⋊Q8—861no—
1034C4⋊Q8—861no—
1035C4⋊Q8—861no—
1036C4⋊Q8—861no—
1037C4⋊Q8—861no—
1038C4⋊Q8—861no—
1039C4⋊Q8—861no—
1040C4⋊Q8—861no—
1041C4⋊Q8—861no—
1042C4⋊Q8—861no—
1043C4⋊Q8C22×D4311yescharacteristic
1044C4⋊Q8C22×D4311yescharacteristic
1045#127C22×D4311yescharacteristic
1046#126—861no—
1047#126—861no—
1048#126—861no—
1049#126—861no—
1050#126—861no—
1051#126—861no—
1052#126—861no—
1053#126—861no—
1054#125—21no—
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#125C22×D4311yescharacteristic
1076#124—431no—
1077#124—431no—
1078#123—21no—
1079#123—21no—
1080#123—861no—
1081#123—861no—
1082#123—861no—
1083#123—861no—
1084#123—861no—
1085#123—861no—
1086C22⋊Q8—21no—
1087C22⋊Q8—21no—
1088C22⋊Q8—431no—
1089C22⋊Q8—431no—
1090C22⋊Q8—431no—
1091C22⋊Q8—431no—
1092C22⋊Q8—861no—
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—
1110#121—21no—
1111#121—21no—
1112#121—431no—
1113#121—431no—
1114#121—861no—
1115#121—861no—
1116#121—861no—
1117#121—861no—
1118#121—861no—
1119#121—861no—
1120#121—861no—
1121#121—861no—
1122#121—861no—
1123#121—861no—
1124#121C22×D4311yescharacteristic
1125#121C22×D4311yescharacteristic
1126C4×Q8—431no—
1127C4×Q8—431no—
1128C4×Q8—431no—
1129C4×Q8—431no—
1130C4×Q8—431no—
1131C4×Q8—431no—
1132C4×Q8—861no—
1133C4×Q8—861no—
1134C4×Q8—861no—
1135C4×Q8—861no—
1136C4×Q8—861no—
1137C4×Q8—861no—
1138C4×Q8—861no—
1139C4×Q8—861no—
1140C4×D4—431no—
1141C4×D4—431no—
1142C4×D4—431no—
1143C4×D4—431no—
1144C4×D4—431no—
1145C4×D4—431no—
1146C4×D4—431no—
1147C4×D4—431no—
1148C4×D4—861no—
1149C4×D4—861no—
1150C4×D4—861no—
1151C4×D4—861no—
1152C4×D4—861no—
1153C4×D4—861no—
1154C4×D4—861no—
1155C4×D4—861no—
1156C4×D4—861no—
1157C4×D4—861no—
1158C4×D4—861no—
1159C4×D4—861no—
1160C4×D4—861no—
1161C4×D4—861no—
1162C4×D4—861no—
1163C4×D4—861no—
1164C4×D4C22×D4311yescharacteristic
1165C4×D4C22×D4311yescharacteristic
1166#117—431no—
1167#117—431no—
1168#117—431no—
1169#117—431no—
1170#117—431no—
1171#117—431no—
1172#117—431no—
1173#117—861no—
1174#117—861no—
1175#117—861no—
1176#117—861no—
1177#117—861no—
1178#117—861no—
1179#117C22×D4311yescharacteristic
1180#117C22×D4311yescharacteristic
1181C2×C4⋊C4—431no—
1182C2×C4⋊C4—431no—
1183C2×C4⋊C4—431no—
1184C2×C4⋊C4—431no—
1185C2×C4⋊C4—431no—
1186C2×C4⋊C4—431no—
1187C2×C4⋊C4—431no—
1188C2×C4⋊C4—861no—
1189C2×C4⋊C4—861no—
1190C2×C4⋊C4—861no—
1191C2×C4⋊C4—861no—
1192C2×C4⋊C4—861no—
1193C2×C4⋊C4—861no—
1194C2×C4⋊C4—861no—
1195C2×C4⋊C4C22×D4311yescharacteristic
1196C2×C42—431no—
1197C2×C42—431no—
1198C2×C42—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#107—431no—
1208#107—431no—
1209#107—431no—
1210#107—431no—
1211#107C22×D4311yescharacteristic
1212#107C22×D4311yescharacteristic
1213#107C22×D4311yescharacteristic
1214#107C22×D4311yescharacteristic
1215#106—431no—
1216#106—431no—
1217#106—431no—
1218#106—431no—
1219#106—431no—
1220#106—431no—
1221#106—431no—
1222#106—431no—
1223#106—431no—
1224#106—431no—
1225#106—431no—
1226#106—431no—
1227#106C22×D4311yescharacteristic
1228#106C22×D4311yescharacteristic
1229#106C22×D4311yescharacteristic
1230#106C22×D4311yescharacteristic
1231C4⋊C8—431no—
1232C4⋊C8—431no—
1233C4⋊C8—431no—
1234C4⋊C8—431no—
1235C4⋊C8—431no—
1236C4⋊C8—431no—
1237C4⋊C8C22×D4311yescharacteristic
1238C4⋊C8C22×D4311yescharacteristic
1239#103—431no—
1240#103—431no—
1241#103—431no—
1242#103—431no—
1243#103—431no—
1244#103—431no—
1245#103—431no—
1246#103—431no—
1247#103—431no—
1248#103—431no—
1249#103—431no—
1250#103—431no—
1251#103—431no—
1252#103—431no—
1253#103—431no—
1254#103—431no—
1255#102—431no—
1256#102—431no—
1257#102—431no—
1258#102—431no—
1259#102—431no—
1260#102—431no—
1261#102—431no—
1262#102—431no—
1263#102C22×D4311yescharacteristic
1264#102C22×D4311yescharacteristic
1265#102C22×D4311yescharacteristic
1266#102C22×D4311yescharacteristic
1267#102C22×D4311yescharacteristic
1268#102C22×D4311yescharacteristic
1269#102C22×D4311yescharacteristic
1270#102C22×D4311yescharacteristic
1271C22⋊C8—431no—
1272C22⋊C8—431no—
1273C22⋊C8—431no—
1274C22⋊C8—431no—
1275C22⋊C8—431no—
1276C22⋊C8—431no—
1277C22⋊C8C22×D4311yescharacteristic
1278C22⋊C8C22×D4311yescharacteristic
1279#97—431no—
1280#97—431no—
1281#97—431no—
1282#97—431no—
1283#97—431no—
1284#97C22×D4311yescharacteristic
1285C4×C8—431no—
1286C4×C8C22×D4311yescharacteristic
1287#41—862no—
1288#41—862no—
1289#41—862no—
1290#41—862no—
1291#41—862no—
1292#41—862no—
1293C2×Q8—21no—
1294C2×Q8—21no—
1295C2×Q8—431no—
1296C2×Q8—431no—
1297C2×Q8—431no—
1298C2×Q8—861no—
1299C2×Q8—861no—
1300C2×Q8—861no—
1301C2×Q8—861no—
1302C2×Q8—861no—
1303C2×Q8—861no—
1304C2×Q8—861no—
1305C2×Q8—861no—
1306C2×Q8—3442no—
1307C2×Q8—3442no—
1308C2×Q8—3442no—
1309C2×D4—21no—
1310C2×D4—21no—
1311C2×D4—21no—
1312C2×D4—21no—
1313C2×D4—431no—
1314C2×D4—431no—
1315C2×D4—431no—
1316C2×D4—861no—
1317C2×D4—861no—
1318C2×D4—861no—
1319C2×D4—861no—
1320C2×D4C23×D4311yescharacteristic
1321C2×D4C23×D4311yescharacteristic
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—21no—
1325C22×C4—431no—
1326C22×C4—431no—
1327C22×C4—431no—
1328C22×C4—431no—
1329C22×C4—431no—
1330C22×C4—431no—
1331C22×C4—431no—
1332C22×C4—431no—
1333C22×C4—861no—
1334C22×C4—861no—
1335C22×C4—861no—
1336C22×C4—861no—
1337C22×C4—861no—
1338C22×C4—861no—
1339C22×C4—861no—
1340C22×C4—861no—
1341C22×C4—861no—
1342C22×C4—861no—
1343C22×C4—861no—
1344C22×C4C23×D4311yescharacteristic
1345M16—862no—
1346M16—862no—
1347C2×C8—431no—
1348C2×C8—431no—
1349C2×C8—431no—
1350C2×C8—431no—
1351C2×C8—862no—
1352C2×C8—862no—
1353C2×C8C23×D4311yescharacteristic
1354C2×C8C23×D4311yescharacteristic
1355C2×C8C23×D4311yescharacteristic
1356C2×C8C23×D4311yescharacteristic
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
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—431no—
1375C4⋊C4—431no—
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⋊C4—861no—
1407C4⋊C4—861no—
1408C4⋊C4—861no—
1409C4⋊C4—861no—
1410C4⋊C4—861no—
1411C4⋊C4—861no—
1412C4⋊C4—861no—
1413C4⋊C4—861no—
1414C4⋊C4—861no—
1415C4⋊C4D4×D4311yescharacteristic
1416C4⋊C4D4×D4311yescharacteristic
1417C4⋊C4C23×D4311yescharacteristic
1418C4⋊C4C23×D4311yescharacteristic
1419C4⋊C4C23×D4311yescharacteristic
1420C4⋊C4C23×D4311yescharacteristic
1421C4⋊C4C23×D4311yescharacteristic
1422C4⋊C4C23×D4311yescharacteristic
1423C22⋊C4—21no—
1424C22⋊C4—21no—
1425C22⋊C4—21no—
1426C22⋊C4—21no—
1427C22⋊C4—21no—
1428C22⋊C4—431no—
1429C22⋊C4—431no—
1430C22⋊C4—431no—
1431C22⋊C4—431no—
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—
1444C22⋊C4—861no—
1445C22⋊C4—861no—
1446C22⋊C4—861no—
1447C22⋊C4—861no—
1448C22⋊C4—861no—
1449C22⋊C4D4×D4311yescharacteristic
1450C22⋊C4D4×D4311yescharacteristic
1451C42—21no—
1452C42—431no—
1453C42—431no—
1454C42—431no—
1455C42—431no—
1456C42—431no—
1457C42—431no—
1458C42—431no—
1459C42—431no—
1460C42—861no—
1461C42—861no—
1462C42—861no—
1463C42—861no—
1464C42—861no—
1465C42—861no—
1466C42—861no—
1467C42—861no—
1468C42—861no—
1469C42C23×D4311yescharacteristic
1470C42C23×D4311yescharacteristic
1471C23—21no—
1472C23—21no—
1473C23—431no—
1474C23—431no—
1475C23C2×D4×D4311yescharacteristic
1476Q8—81no—
1477Q8—81no—
1478Q8—862no—
1479Q8—861no—
1480Q8—861no—
1481Q8—861no—
1482Q8—861no—
1483Q8—3441no—
1484Q8—3441no—
1485Q8—3441no—
1486Q8—3441no—
1487Q8—1722no—
1488Q8—1722no—
1489Q8—1722no—
1490Q8—1722no—
1491D4—21no—
1492D4—21no—
1493D4—21no—
1494D4—21no—
1495D4—81no—
1496D4—81no—
1497D4—81no—
1498D4—81no—
1499D4—862no—
1500D4—862no—
1501D4—862no—
1502D4—3441no—
1503D4—3441no—
1504D4—1722no—
1505D4—1722no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—81no—
1515C2×C4—81no—
1516C2×C4—81no—
1517C2×C4—431no—
1518C2×C4—432no—
1519C2×C4—432no—
1520C2×C4—431no—
1521C2×C4—431no—
1522C2×C4—431no—
1523C2×C4—431no—
1524C2×C4—431no—
1525C2×C4—861no—
1526C2×C4—861no—
1527C2×C4—861no—
1528C2×C4—861no—
1529C2×C4—861no—
1530C2×C4—861no—
1531C2×C4—861no—
1532C2×C4—861no—
1533C2×C4—861no—
1534C2×C4—861no—
1535C2×C4—3441no—
1536C2×C4—3441no—
1537C2×C4—3441no—
1538C2×C4—3441no—
1539C2×C4—3441no—
1540C2×C4—3441no—
1541C2×C4—3441no—
1542C2×C4—3441no—
1543C2×C4—3441no—
1544C2×C4—1721no—
1545C2×C4—1721no—
1546C2×C4—1721no—
1547C2×C4—1721no—
1548C2×C4—1722no—
1549C2×C4—1722no—
1550C2×C4—1721no—
1551C2×C4—1721no—
1552C2×C4C2×D4×D4311yescharacteristic
1553C2×C4C2×D4×D4311yescharacteristic
1554C2×C4C2×D4×D4311yescharacteristic
1555C2×C4C2×D4×D4311yescharacteristic
1556C2×C4C2×D4×D4311yescharacteristic
1557C2×C4C24×D4311yescharacteristic
1558C8—21no—
1559C8—21no—
1560C8—21no—
1561C8—21no—
1562C8—861no—
1563C8—861no—
1564C8—861no—
1565C8—861no—
1566C22—21no—
1567C22—21no—
1568C22—21no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—432no—
1576C22—861no—
1577C22—861no—
1578C22—861no—
1579C22—861no—
1580C22—861no—
1581C22C22×D4×D4311yescharacteristic
1582C4—21no—
1583C4—21no—
1584C4—21no—
1585C4—21no—
1586C4—21no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—432no—
1594C4—861no—
1595C4—861no—
1596C4—861no—
1597C4—861no—
1598C4—861no—
1599C4—1721no—
1600C4—1721no—
1601C4—1721no—
1602C4—1721no—
1603C4—1721no—
1604C4—1721no—
1605C4—1721no—
1606C4—1721no—
1607C42−1+4×D4311yescharacteristic
1608C42−1+4×D4311yescharacteristic
1609C2—41no—
1610C2—81no—
1611C2—81no—
1612C2—862no—
1613C2—1721no—
1614C2#536×D4311yescharacteristic
1615C2#1914937011yescharacteristic
1616C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3241C2
socleC22×C43C23×D4
prime radical#19148514C2
hypercenter#3241D43
hypocenterC43#60887
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3241

Complements

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

NH ≅ G/Ntype
2. #19148410C2semidirect
3. #19145866C2semidirect
4. #19145865C2semidirect
5. #19145864C2semidirect
6. #19145863C2semidirect
7. #19145843C2semidirect
8. #19145842C2semidirect
9. #19145841C2semidirect
10. #19145834C2semidirect
11. #19145834C2semidirect
12. #19145833C2semidirect
13. #19145833C2semidirect
14. #19145824C2semidirect
15. #19145823C2semidirect
16. #19145815C2semidirect
17. #19145814C2semidirect
18. #19145143C2semidirect
19. #501×D43C2semidirect
20. #19144985C2semidirect
21. #19144939C2semidirect
22. #19144587C2semidirect
23. #19144585C2semidirect
24. #19144570C2semidirect
25. #19144568C2semidirect
26. #19144458C2semidirect
27. #19144452C2semidirect
28. #19144447C2semidirect
29. #19144441C2semidirect
30. #19143243C2semidirect
31. C43×#3241C2semidirect
810. #3241D43semidirect
1011. C43#60887semidirect

Maximal subgroups

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

subgroupindex
#191485142
#191484102
#191458662
#191458652
#191458642
#191458632
#191458432
#191458422
#191458412
#191458342
#191458332
#191458242
#191458232
#191458152
#191458142
#191451432
#501×D432
#191449852
#191449392
#191445872
#191445852
#191445702
#191445682
#191444582
#191444522
#191444472
#191444412
#191432432
C43×#32412
#6088743