Finite Group Databasebeta

← #25993221

Subgroups — #25993221

Order 11008.

1730 conjugacy classes of subgroups.

The subgroup lattice has 1650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148567C211yesmaximal, characteristic, complemented
2#19148157C211yesmaximal, characteristic, complemented
3#19147465C211yesmaximal, characteristic, complemented
4#19147457C211yesmaximal, characteristic, complemented
5#19147283C211yesmaximal, characteristic, complemented
6#19147247C211yesmaximal, characteristic, complemented
7#19147217C211yesmaximal, characteristic, complemented
8#19147186C211yesmaximal, characteristic, complemented
9#19147167C211yesmaximal, characteristic, complemented
10#19147166C211yesmaximal, characteristic, complemented
11#19147156C211yesmaximal, characteristic, complemented
12#19147152C211yesmaximal, characteristic, complemented
13#19146907C211yesmaximal, characteristic, complemented
14#19146896C211yesmaximal, characteristic, complemented
15#19146812C211yesmaximal, characteristic, complemented
16#19146808C211yesmaximal, characteristic, complemented
17#19146797C211yesmaximal, characteristic, complemented
18#19146793C211yesmaximal, characteristic, complemented
19#19145998C211yesmaximal, characteristic, complemented
20#19145996C211yesmaximal, characteristic, complemented
21#19145967C211yesmaximal, characteristic, complemented
22#19145767C211yesmaximal, characteristic, complemented
23#19145763C211yesmaximal, characteristic, complemented
24#19145753C211yesmaximal, characteristic, complemented
25#19144647C211yesmaximal, characteristic, complemented
26#19144618C211yesmaximal, characteristic, complemented
27#19144613C211yesmaximal, characteristic, complemented
28#19144412C211yesmaximal, characteristic, complemented
29#19144390C211yesmaximal, characteristic, complemented
30#19143725C211yesmaximal, characteristic, complemented
31C43×#3080C211yesmaximal, characteristic, complemented
32#14583626C2211yescharacteristic, complemented
33#14583621C2211yescharacteristic
34#14583612C2211yescharacteristic
35#14583608C2211yescharacteristic
36#14583605C2211yescharacteristic, complemented
37#14583604C2211yescharacteristic, complemented
38#14583602C2211yescharacteristic
39#14583598—21no—
40#14583597C2211yescharacteristic
41#14583590C2211yescharacteristic
42#14583588C2211yescharacteristic
43#14583587C2211yescharacteristic
44#14583584—21no—
45#14583584C2211yescharacteristic
46#14583582—21no—
47#14583581—21no—
48#14583581—21no—
49#14583578—21no—
50#14583573—21no—
51#14583550—21no—
52#14583550C2211yescharacteristic, complemented
53#14583548C2211yescharacteristic
54#14583544C2211yescharacteristic
55#14583537C2211yescharacteristic
56#14583508—21no—
57#14583497—21no—
58#14583496—21no—
59#14583455C2211yescharacteristic
60#14583453C2211yescharacteristic
61#14583436C2211yescharacteristic
62#14583434C2211yescharacteristic
63#14583434C2211yescharacteristic, complemented
64#14583433—21no—
65#14583433C2211yescharacteristic
66#14583433C2211yescharacteristic, complemented
67#14583429—21no—
68#125×D43C2211yescharacteristic, complemented
69#14583408—21no—
70#14583380—21no—
71C4×#10621898C2211yescharacteristic
72C4×#10621900C2211yescharacteristic
73C4×D4×D43C2211yescharacteristic
74C2×#13063282—21no—
75#14583303C2211yescharacteristic, complemented
76#14583300C2211yescharacteristic, complemented
77#14583299C2211yescharacteristic, complemented
78#14583298C2211yescharacteristic, complemented
79#14583298C2211yescharacteristic, complemented
80#14583296C2211yescharacteristic, complemented
81#14583256C2211yescharacteristic
82#14583256C2211yescharacteristic
83#14583255C2211yescharacteristic
84#14583255C2211yescharacteristic
85#14583248C2211yescharacteristic, complemented
86#14583248C2211yescharacteristic, complemented
87#14583243C2211yescharacteristic
88#14583243C2211yescharacteristic, complemented
89#14583242C2211yescharacteristic
90#14583240C2211yescharacteristic, complemented
91#14583239C2211yescharacteristic
92#14583238C2211yescharacteristic
93#14583236C2211yescharacteristic
94#14583234C2211yescharacteristic, complemented
95#14583233C2211yescharacteristic, complemented
96#14583229C2211yescharacteristic, complemented
97#14583228C2211yescharacteristic, complemented
98#14583226C2211yescharacteristic, complemented
99#14583223C2211yescharacteristic, complemented
100#14583219C2211yescharacteristic
101#14583219C2211yescharacteristic
102#14583217C2211yescharacteristic
103#14583214C2211yescharacteristic
104#14583212C2211yescharacteristic
105#14583209C2211yescharacteristic, complemented
106#14583209C2211yescharacteristic, complemented
107#14583207C2211yescharacteristic, complemented
108#14583207C2211yescharacteristic, complemented
109#14583206C2211yescharacteristic, complemented
110#14583205C2211yescharacteristic, complemented
111#14583203C2211yescharacteristic, complemented
112#14583203C2211yescharacteristic, complemented
113#14583202C2211yescharacteristic, complemented
114#14583201C2211yescharacteristic
115#14583200C2211yescharacteristic
116#14583200C2211yescharacteristic, complemented
117#14583199C2211yescharacteristic
118#14583197C2211yescharacteristic
119#14583196C2211yescharacteristic
120#14583196C2211yescharacteristic
121#14583193C2211yescharacteristic, complemented
122#14583188C2211yescharacteristic
123#14583188C2211yescharacteristic, complemented
124#14583187C2211yescharacteristic
125#14583178C2211yescharacteristic
126#14583177C2211yescharacteristic
127#14583158C2211yescharacteristic
128#14583157C2211yescharacteristic, complemented
129#14583156C2211yescharacteristic
130#14583156C2211yescharacteristic, complemented
131#14583153C2211yescharacteristic
132#14583152C2211yescharacteristic
133#14583148C2211yescharacteristic
134#14583148C2211yescharacteristic, complemented
135#14583146C2211yescharacteristic
136#14583146C2211yescharacteristic
137#14583145C2211yescharacteristic
138#14583145C2211yescharacteristic, complemented
139#14583124C2211yescharacteristic
140#14583122C2211yescharacteristic
141#14583122C2211yescharacteristic, complemented
142#14583121C2211yescharacteristic, complemented
143#14583117C2211yescharacteristic
144#14583115C2211yescharacteristic
145#14583115C2211yescharacteristic
146#14583114C2211yescharacteristic
147#14583108C2211yescharacteristic, complemented
148#14583103C2211yescharacteristic, complemented
149#14583062C2211yescharacteristic
150#14583061C2211yescharacteristic
151#14583051C2211yescharacteristic
152#14583045C2211yescharacteristic
153#14583044C2211yescharacteristic
154#14583034C2211yescharacteristic
155#14583023C2211yescharacteristic, complemented
156#14583023C2211yescharacteristic, complemented
157#14582993C2211yescharacteristic, complemented
158C4×#10621885C2211yescharacteristic, complemented
159#14582990C2211yescharacteristic
160#14582990C2211yescharacteristic
161C4×#10621884C2211yescharacteristic, complemented
162#14582986C2211yescharacteristic
163#14582986C2211yescharacteristic, complemented
164C4×#10621883C2211yescharacteristic
165#14582981C2211yescharacteristic
166C4×#10621882C2211yescharacteristic
167#14582979C2211yescharacteristic
168#14582979C2211yescharacteristic
169#14582976C2211yescharacteristic
170#14582976C2211yescharacteristic
171#14582975C2211yescharacteristic
172#14582975C2211yescharacteristic
173#14582975C2211yescharacteristic, complemented
174#14582975C2211yescharacteristic, complemented
175#14582952C2211yescharacteristic, complemented
176#14582951C2211yescharacteristic
177#14582951C2211yescharacteristic, complemented
178#14582940C2211yescharacteristic
179#14582940C2211yescharacteristic, complemented
180#14582938C2211yescharacteristic
181#14582938C2211yescharacteristic, complemented
182#14582921C2211yescharacteristic
183#14582921C2211yescharacteristic, complemented
184#14582902C2211yescharacteristic
185#14582902C2211yescharacteristic
186#14582897C2211yescharacteristic
187#14582897C2211yescharacteristic
188C2×#125×C43C2211yescharacteristic, complemented
189C4×#41×C43C2211yescharacteristic
190C43×#479C2211yescharacteristic, complemented
191C43×#479C2211yescharacteristic, complemented
192C43×#479C2211yescharacteristic, complemented
193C43×#479C2211yescharacteristic, complemented
194C43×#478C2211yescharacteristic
195C43×#478C2211yescharacteristic
196C43×#478C2211yescharacteristic
197C43×#478C2211yescharacteristic
198C43×#428C2211yescharacteristic, complemented
199C43×#428C2211yescharacteristic, complemented
200C43×#423C2211yescharacteristic, complemented
201C43×#417C2211yescharacteristic
202C43×#417C2211yescharacteristic
203C2×#10621898—21no—
204C2×#10621898D411yescharacteristic
205C2×#10621900C2311yescharacteristic
206C2×D4×D43C2311yescharacteristic
207C22×C4×D43—21no—
208C2×Dic172C2311yescharacteristic
209C2×#10621885C2311yescharacteristic
210C2×#10621873C2311yescharacteristic
211C2×#10621873C2311yescharacteristic
212C2×#10621883C2311yescharacteristic
213C2×#10621884C2311yescharacteristic
214C2×D344C2311yescharacteristic
215C2×#10621882C2311yescharacteristic
216C2×#10621872C2311yescharacteristic
217C2×#10621872C2311yescharacteristic
218C2×#10621872C2311yescharacteristic
219C2×#10621872C2311yescharacteristic
220#13063324—21no—
221#13063324C2311yescharacteristic
222#13063324C2311yescharacteristic
223#13063324C2311yescharacteristic
224#13063323C2311yescharacteristic
225#13063320—21no—
226#13063320—21no—
227#13063320—21no—
228#13063320—21no—
229#13063320—21no—
230#13063320—21no—
231#13063320—21no—
232#13063320—21no—
233#13063319—21no—
234#13063319—21no—
235#13063319—21no—
236#13063319—21no—
237#13063318—21no—
238#13063317—21no—
239#13063317C2311yescharacteristic
240#13063317C2311yescharacteristic
241#13063316—21no—
242#13063316C2311yescharacteristic
243#13063316C2311yescharacteristic
244#13063316C2311yescharacteristic
245#13063315—21no—
246#13063315—21no—
247#13063315—21no—
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063315—21no—
253#13063314C2311yescharacteristic
254#13063313—21no—
255#13063313C2311yescharacteristic
256#13063313C2311yescharacteristic
257#13063311—21no—
258#13063310—21no—
259#13063310—21no—
260#13063310—21no—
261#13063310—21no—
262#13063310—21no—
263#13063310—21no—
264#13063310—21no—
265#13063310—21no—
266#13063309—21no—
267#13063308—21no—
268#13063308—21no—
269#13063308—21no—
270#13063308—21no—
271#13063308—21no—
272#13063308—21no—
273#13063307—21no—
274#13063306—21no—
275#13063305—21no—
276#13063305C2311yescharacteristic
277#13063305C2311yescharacteristic
278#13063305C2311yescharacteristic
279#13063304—21no—
280#13063304—21no—
281#13063304C2311yescharacteristic
282#13063304C2311yescharacteristic
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#13063302—21no—
292#13063302—21no—
293#13063301C2311yescharacteristic
294#13063301C2311yescharacteristic
295#13063300—21no—
296#13063300C2311yescharacteristic
297#13063300C2311yescharacteristic
298#13063300C2311yescharacteristic
299#13063299—21no—
300#13063299—21no—
301#13063299C2311yescharacteristic
302#13063299C2311yescharacteristic
303#13063298—21no—
304#13063297—21no—
305#13063297—21no—
306#13063295—21no—
307#13063293—21no—
308C4×Dic86—21no—
309C4×Dic86D411yescharacteristic
310C4×Dic86C2311yescharacteristic
311C4×Dic86C2311yescharacteristic
312C4×Dic86C2311yescharacteristic
313#13063290—21no—
314#13063290—21no—
315#13063290—21no—
316#13063290C2311yescharacteristic
317#13063290C2311yescharacteristic
318#13063290C2311yescharacteristic
319C4×D172—21no—
320C4×D172D411yescharacteristic
321C4×D172C2311yescharacteristic
322C4×D172C2311yescharacteristic
323C4×D172C2311yescharacteristic
324D4×Dic43C2311yescharacteristic
325D4×Dic43C2311yescharacteristic
326#13063287—21no—
327#13063287—21no—
328#13063287—21no—
329#13063287C2311yescharacteristic
330#13063287C2311yescharacteristic
331#13063287C2311yescharacteristic
332C4×C22⋊D43—21no—
333C4×C22⋊D43—21no—
334C4×C22⋊D43—21no—
335C4×C22⋊D43—21no—
336C4×C22⋊D43—21no—
337C4×C22⋊D43—21no—
338C4×C22⋊D43D411yescharacteristic
339C4×C22⋊D43D411yescharacteristic
340C4×C22⋊D43C2311yescharacteristic
341C4×C22⋊D43C2311yescharacteristic
342(C22⋊D43)⋊C4—21no—
343(C22⋊D43)⋊C4—21no—
344#13063284—21no—
345#13063284D411yescharacteristic
346#13063283—21no—
347#13063283—21no—
348#13063283—21no—
349#13063283C2311yescharacteristic
350#13063283C2311yescharacteristic
351#13063283C2311yescharacteristic
352#13063282—21no—
353#13063282—21no—
354#13063282—21no—
355#13063282—21no—
356#13063282—21no—
357#13063282—21no—
358#13063282—21no—
359#13063282—21no—
360#13063282D411yescharacteristic
361#13063282D411yescharacteristic
362#13063281—21no—
363C2×Dic43⋊C4—21no—
364C2×Dic43⋊C4—21no—
365C4⋊C4×D43—21no—
366C4⋊C4×D43—21no—
367C4⋊C4×D43—21no—
368C4⋊C4×D43C2311yescharacteristic
369C4⋊C4×D43C2311yescharacteristic
370C4⋊C4×D43C2311yescharacteristic
371C2×(C2×D43)⋊C4—21no—
372C2×(C2×D43)⋊C4—21no—
373C22⋊C4×D43—21no—
374C2×C4×Dic43—21no—
375C42×D43C2311yescharacteristic
376C42×D43C2311yescharacteristic
377#13063259C2311yescharacteristic
378#13063259C2311yescharacteristic
379#13063258C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063257C2311yescharacteristic
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#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429C4×C43⋊C8C2311yescharacteristic
430C4×C43⋊C8C2311yescharacteristic
431C8×Dic43C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×#41×C43C2311yescharacteristic
436C2×M16×C43C2311yescharacteristic
437C2×M16×C43C2311yescharacteristic
438#125×C43—21no—
439#125×C43—21no—
440#125×C43C2311yescharacteristic
441#125×C43C2311yescharacteristic
442#125×C43C2311yescharacteristic
443#125×C43C2311yescharacteristic
444C4×Q8×C43C2311yescharacteristic
445C4×Q8×C43C2311yescharacteristic
446C4×D4×C43—21no—
447C4×D4×C43—21no—
448C4×D4×C43C2311yescharacteristic
449C4×D4×C43C2311yescharacteristic
450#117×C43—21no—
451#117×C43C2311yescharacteristic
452C2×C4⋊C4×C43—21no—
453C2×C4⋊C4×C43—21no—
454C2×C4⋊C4×C43C2311yescharacteristic
455C2×C4⋊C4×C43C2311yescharacteristic
456C2×C42×C43—21no—
457C2×C42×C43C2311yescharacteristic
458#107×C43C2311yescharacteristic
459#107×C43C2311yescharacteristic
460#107×C43C2311yescharacteristic
461#107×C43C2311yescharacteristic
462#106×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464#106×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466C4⋊C8×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469C4⋊C8×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C23×D43—21no—
479#41×C43—22no—
480#41×C43—41no—
481C2×Q8×C43C2411yescharacteristic
482C2×D4×C43—21no—
483C2×D4×C43C2411yescharacteristic
484C22×C4×C43—21no—
485C22×C4×C43—21no—
486C22×C4×C43—21no—
487C22×C4×C43—21no—
488C22×C4×C43—21no—
489C22×C4×C43C2×D411yescharacteristic
490C22×C4×C43C2×D411yescharacteristic
491C22×C4×C43C2411yescharacteristic
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43C2×D411yescharacteristic
497C2×C22⋊D43C2×D411yescharacteristic
498C22×Dic43—21no—
499C22×Dic43—21no—
500C22×Dic43—21no—
501#10621900—22no—
502#10621900—41no—
503D4×D43—22no—
504D4×D43—41no—
505#10621898—42no—
506#10621898—44no—
507C2×D172—21no—
508C2×D172—21no—
509C2×D172—21no—
510C2×D172C2×D411yescharacteristic
511C2×D172C2411yescharacteristic
512C2×D172C2411yescharacteristic
513C2×C4×D43—21no—
514C2×C4×D43—21no—
515C2×C4×D43—21no—
516C2×C4×D43—21no—
517C2×C4×D43—21no—
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43—44no—
522C2×C4×D43C2×D411yescharacteristic
523C2×C4×D43C2×D411yescharacteristic
524C2×C4×D43C2×D411yescharacteristic
525C2×C4×D43C2×D411yescharacteristic
526C2×C4×D43C2411yescharacteristic
527C2×C4×D43C2411yescharacteristic
528C2×Dic86—21no—
529C2×Dic86—21no—
530C2×Dic86—21no—
531C2×Dic86C2×D411yescharacteristic
532C2×Dic86C2411yescharacteristic
533C2×Dic86C2411yescharacteristic
534M16×C43—41no—
535M16×C43—41no—
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×C43—21no—
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43C2411yescharacteristic
553C4⋊C4×C43C2411yescharacteristic
554C4⋊C4×C43C2411yescharacteristic
555C4⋊C4×C43C2411yescharacteristic
556C4⋊C4×C43C2411yescharacteristic
557C4⋊C4×C43C2411yescharacteristic
558C22⋊C4×C43—21no—
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C42×C43—21no—
562C42×C43—21no—
563C42×C43—21no—
564C42×C43C2×D411yescharacteristic
565C42×C43C2×D411yescharacteristic
566C42×C43C2411yescharacteristic
567C42×C43C2411yescharacteristic
568C22⋊Dic43—21no—
569C22⋊Dic43—21no—
570C22⋊Dic43—21no—
571C22⋊Dic43—21no—
572C22⋊Dic43C2×D411yescharacteristic
573C22⋊Dic43C2×D411yescharacteristic
574#10621885—41no—
575#10621884—41no—
576#10621883—22no—
577#10621882—22no—
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)⋊C4—21no—
590(C2×D43)⋊C4—21no—
591(C2×D43)⋊C4—21no—
592(C2×D43)⋊C4—21no—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4C2×D411yescharacteristic
603(C2×D43)⋊C4C2×D411yescharacteristic
604(C2×D43)⋊C4C2×D411yescharacteristic
605(C2×D43)⋊C4C2×D411yescharacteristic
606C4⋊Dic43—21no—
607C4⋊Dic43—21no—
608C4⋊Dic43—21no—
609C4⋊Dic43—21no—
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43C2×D411yescharacteristic
613C4⋊Dic43C2×D411yescharacteristic
614C4⋊Dic43C2411yescharacteristic
615C4⋊Dic43C2411yescharacteristic
616C4⋊Dic43C2411yescharacteristic
617C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4C2×D411yescharacteristic
643Dic43⋊C4C2×D411yescharacteristic
644Dic43⋊C4C2×D411yescharacteristic
645Dic43⋊C4C2×D411yescharacteristic
646C4×Dic43—21no—
647C4×Dic43—21no—
648C4×Dic43—21no—
649C4×Dic43—21no—
650C4×Dic43—21no—
651C4×Dic43—21no—
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43C2×D411yescharacteristic
655C4×Dic43C2×D411yescharacteristic
656C4×Dic43C2×D411yescharacteristic
657C4×Dic43C2×D411yescharacteristic
658C4×Dic43C2411yescharacteristic
659C4×Dic43C2411yescharacteristic
660C2×C43⋊C8C2411yescharacteristic
661C2×C43⋊C8C2411yescharacteristic
662C2×C43⋊C8C2411yescharacteristic
663C2×C43⋊C8C2411yescharacteristic
664Dic172—41no—
665D344—41no—
666#10621873—41no—
667#10621873—41no—
668#10621872—41no—
669#10621872—41no—
670#10621872—41no—
671#10621872—41no—
672C23×C43—21no—
673C23×C43C22×D411yescharacteristic
674C22×D43—21no—
675C22×D43—21no—
676C22×D43—42no—
677C22×D43—42no—
678C22×D43—81no—
679C22×D43C22×D411yescharacteristic
680C22×D43C22×D411yescharacteristic
681Q8×C43—21no—
682Q8×C43—21no—
683D4×C43—21no—
684D4×C43—42no—
685D4×C432−1+412yes—
686C2×C4×C43—21no—
687C2×C4×C43—21no—
688C2×C4×C43—21no—
689C2×C4×C43—21no—
690C2×C4×C43—21no—
691C2×C4×C43—21no—
692C2×C4×C43—21no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—41no—
696C2×C4×C43—41no—
697C2×C4×C43—42no—
698C2×C4×C43—42no—
699C2×C4×C43—42no—
700C2×C4×C43—81no—
701C2×C4×C43—81no—
702C2×C4×C43C22×D411yescharacteristic
703C2×C4×C43C22×D411yescharacteristic
704C2×C4×C43C22×D411yescharacteristic
705C2×C4×C43C22×D411yescharacteristic
706C2×C4×C43C22×D411yescharacteristic
707C2×C4×C43C2511yescharacteristic
708C22⋊D43—22no—
709C22⋊D43—41no—
710C22⋊D43—42no—
711C22⋊D43—42no—
712C22⋊D43—42no—
713C22⋊D43—81no—
714C2×Dic43—21no—
715C2×Dic43—21no—
716C2×Dic43—21no—
717C2×Dic43—21no—
718C2×Dic43—21no—
719C2×Dic43—21no—
720C2×Dic43—42no—
721C2×Dic43—42no—
722C2×Dic43—81no—
723C2×Dic43C22×D411yescharacteristic
724C2×Dic43C22×D411yescharacteristic
725C2×Dic43C22×D411yescharacteristic
726C2×Dic43C22×D411yescharacteristic
727C2×Dic43C22×D411yescharacteristic
728C2×Dic43C22×D411yescharacteristic
729D172—21no—
730D172—21no—
731D172—21no—
732D172—21no—
733D172—41no—
734D172—42no—
735D172—81no—
736D172—81no—
737C4×D43—21no—
738C4×D43—21no—
739C4×D43—21no—
740C4×D43—21no—
741C4×D43—22no—
742C4×D43—41no—
743C4×D43—41no—
744C4×D43—41no—
745C4×D43—42no—
746C4×D43—42no—
747C4×D43—42no—
748C4×D43—42no—
749C4×D43—42no—
750C4×D43—81no—
751C4×D43—81no—
752C4×D43—81no—
753Dic86—22no—
754Dic86—21no—
755Dic86—21no—
756Dic86—21no—
757Dic86—21no—
758Dic86—42no—
759Dic86—81no—
760Dic86—81no—
761C8×C43—21no—
762C8×C43—21no—
763C8×C43—21no—
764C8×C43—21no—
765C43⋊C8—21no—
766C43⋊C8—21no—
767C43⋊C8—21no—
768C43⋊C8—21no—
769#62152—431nomaximal, Sylow
770C22×C43—21no—
771C22×C43—22no—
772C22×C43—21no—
773C22×C43—21no—
774C22×C43—41no—
775C22×C43—41no—
776C22×C43C23×D411yescharacteristic
777C2×D43—21no—
778C2×D43—21no—
779C2×D43—21no—
780C2×D43—21no—
781C2×D43—21no—
782C2×D43—21no—
783C2×D43—41no—
784C2×D43—41no—
785C2×D43—41no—
786C2×D43—41no—
787C2×D43—41no—
788C2×D43—41no—
789C2×D43—84no—
790C4×C43—21no—
791C4×C43—21no—
792C4×C43—21no—
793C4×C43—21no—
794C4×C43—21no—
795C4×C43—41no—
796C4×C43—41no—
797C4×C43—41no—
798C4×C43—41no—
799C4×C43—41no—
800C4×C43—41no—
801C4×C43—41no—
802C4×C43C2×2−1+411yescharacteristic
803C4×C43#58511yescharacteristic
804Dic43—21no—
805Dic43—21no—
806Dic43—21no—
807Dic43—21no—
808Dic43—21no—
809Dic43—41no—
810Dic43—41no—
811Dic43—41no—
812Dic43—41no—
813Dic43—41no—
814Dic43—41no—
815Dic43#57512yes—
816#3515—431no—
817#3475—431no—
818#3381—431no—
819#3380—431no—
820#3364—431no—
821#3360—431no—
822#3357—431no—
823#3354—431no—
824#3352—431no—
825#3352—431no—
826#3351—431no—
827#3351—431no—
828#3331—431no—
829#3330—431no—
830#3323—431no—
831#3323—431no—
832#3322—431no—
833#3322—431no—
834#3256—431no—
835#3256—431no—
836#3252—431no—
837#3232—431no—
838#3232—431no—
839#3231—431no—
840#3105—431no—
841#3102—431no—
842#3102—431no—
843#3080—431no—
844#3080D4311yescharacteristic, complemented
845#3077—431no—
846#2991—431no—
847C2×C43—42no—
848C2×C43—41no—
849C2×C43#348911yescharacteristic
850C2×C43C2×#57511yescharacteristic
851C2×C43#358411yescharacteristic
852D43—41no—
853D43—41no—
854D43—81no—
855D43—81no—
856#557—431no—
857#556—431no—
858#555—431no—
859#554—431no—
860#554—431no—
861#554—431no—
862#553—431no—
863#553—431no—
864#553—861no—
865#552—431no—
866#552—431no—
867#552—431no—
868#552—431no—
869#552—861no—
870#552—861no—
871#552—861no—
872#552—861no—
873#551—861no—
874#551—861no—
875#547—431no—
876#547—431no—
877#547—861no—
878#546—431no—
879#546—431no—
880#541—861no—
881#539—861no—
882#539—861no—
883#533—431no—
884#533—431no—
885#529—431no—
886#529—431no—
887#529—431no—
888#529—431no—
889#529—431no—
890#529—861no—
891#529—861no—
892C2×#125—431no—
893C2×#125C2×D4311yescharacteristic, complemented
894#525—861no—
895#520—861no—
896C4×#41—431no—
897C4×#41—431no—
898C4×#41C2×D4311yescharacteristic
899C2×C4×D4—431no—
900C2×#117—861no—
901#500—431no—
902#499—431no—
903#499—431no—
904#499—431no—
905#499—431no—
906#498—431no—
907#488—431no—
908#488—431no—
909#488—431no—
910#488—431no—
911#487—431no—
912#487—431no—
913#485—431no—
914#485—431no—
915#485—431no—
916#485—431no—
917#485—431no—
918#485—431no—
919#484—431no—
920#484—431no—
921#484—431no—
922#483—431no—
923#483—431no—
924#482—431no—
925#482—431no—
926#481—431no—
927#481—431no—
928#481—431no—
929#480—431no—
930#480—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#479C2×D4311yescharacteristic, complemented
940#479C2×D4311yescharacteristic, complemented
941#479C2×D4311yescharacteristic, complemented
942#479C2×D4311yescharacteristic, complemented
943#478—431no—
944#478—431no—
945#478—431no—
946#478—431no—
947#478—431no—
948#478—431no—
949#478—431no—
950#478—431no—
951#478C2×D4311yescharacteristic
952#478C2×D4311yescharacteristic
953#478C2×D4311yescharacteristic
954#478C2×D4311yescharacteristic
955#477—431no—
956#476—431no—
957#476—431no—
958#476—431no—
959#474—431no—
960#474—431no—
961#470—431no—
962#470—431no—
963#470—431no—
964#470—431no—
965#469—431no—
966#469—431no—
967#468—431no—
968#468—431no—
969#468—431no—
970#468—431no—
971#468—431no—
972#468—431no—
973#464—431no—
974#464—431no—
975#464—431no—
976#464—431no—
977#463—431no—
978#463—431no—
979#463—431no—
980#463—431no—
981#462—431no—
982#461—431no—
983#452—431no—
984#452—431no—
985#450—431no—
986#449—431no—
987#449—431no—
988#447—431no—
989C8×Q8—431no—
990C8×Q8—431no—
991C4×Q16—431no—
992C4×Q16—431no—
993C4×SD16—431no—
994C4×SD16—431no—
995C4×SD16—431no—
996C4×SD16—431no—
997C4×SD16—431no—
998C4×SD16—431no—
999C4×D8—431no—
1000C4×D8—431no—
1001C4×D8—431no—
1002C4×D8—431no—
1003#436—431no—
1004#436—431no—
1005#436—431no—
1006#436—431no—
1007#436—431no—
1008#436—431no—
1009#431—431no—
1010#431—431no—
1011#431—431no—
1012#428—431no—
1013#428—431no—
1014#428—431no—
1015#428—431no—
1016#428C2×D4311yescharacteristic, complemented
1017#428C2×D4311yescharacteristic, complemented
1018#423—431no—
1019#423—431no—
1020#423C2×D4311yescharacteristic, complemented
1021#418—431no—
1022#418—431no—
1023#417—431no—
1024#417—431no—
1025#417C2×D4311yescharacteristic
1026#417C2×D4311yescharacteristic
1027C43#6215211yescharacteristic, complemented, Sylow
1028C2×#41—431no—
1029C2×#41—431no—
1030C2×#41—861no—
1031C2×#41C22×D4311yescharacteristic
1032C22×D4—431no—
1033C23×C4—861no—
1034C2×Q16—431no—
1035C2×Q16—431no—
1036C2×SD16—431no—
1037C2×SD16—431no—
1038C2×SD16—431no—
1039C2×SD16—431no—
1040C2×D8—431no—
1041C2×D8—431no—
1042C2×M16—431no—
1043C2×M16—431no—
1044C2×M16—431no—
1045C2×M16—431no—
1046C2×M16C22×D4311yescharacteristic
1047C2×M16C22×D4311yescharacteristic
1048C4⋊Q8—431no—
1049C4⋊Q8—431no—
1050C4⋊Q8—431no—
1051C4⋊Q8—431no—
1052C4⋊Q8—861no—
1053#126—861no—
1054#126—861no—
1055#126—861no—
1056#126—861no—
1057#126—861no—
1058#126—861no—
1059#126—861no—
1060#126—861no—
1061#126—861no—
1062#126—861no—
1063#126—861no—
1064#126—861no—
1065#126—861no—
1066#125—21no—
1067#125—21no—
1068#125—431no—
1069#125—431no—
1070#125—431no—
1071#125—431no—
1072#125—431no—
1073#125—861no—
1074#125—861no—
1075#125—861no—
1076#125—861no—
1077#125—861no—
1078#125—861no—
1079#125—861no—
1080#125—861no—
1081#125—861no—
1082#125—861no—
1083#125C22×D4311yescharacteristic
1084#125C22×D4311yescharacteristic
1085#125C22×D4311yescharacteristic
1086#125C22×D4311yescharacteristic
1087#124—431no—
1088#124—431no—
1089#124—431no—
1090#124—861no—
1091#124—861no—
1092#123—861no—
1093#123—861no—
1094#123—861no—
1095#123—861no—
1096#123—861no—
1097#123—861no—
1098#123—861no—
1099#123—861no—
1100#123—861no—
1101#123—861no—
1102#123—861no—
1103#123—861no—
1104#123—861no—
1105#123—861no—
1106#123—861no—
1107#123—861no—
1108#123—861no—
1109C22⋊Q8—431no—
1110C22⋊Q8—431no—
1111C22⋊Q8—431no—
1112C22⋊Q8—431no—
1113C22⋊Q8—431no—
1114C22⋊Q8—431no—
1115C22⋊Q8—431no—
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—
1130#121—431no—
1131#121—431no—
1132#121—431no—
1133#121—431no—
1134#121—861no—
1135#121—861no—
1136#121—861no—
1137#121—861no—
1138#121—861no—
1139#121—861no—
1140#120—861no—
1141#120—861no—
1142C4×Q8—431no—
1143C4×Q8—431no—
1144C4×Q8—431no—
1145C4×Q8—431no—
1146C4×Q8—431no—
1147C4×Q8—431no—
1148C4×Q8—431no—
1149C4×Q8—861no—
1150C4×Q8—861no—
1151C4×Q8—861no—
1152C4×Q8—861no—
1153C4×Q8C22×D4311yescharacteristic
1154C4×Q8C22×D4311yescharacteristic
1155C4×D4—21no—
1156C4×D4—21no—
1157C4×D4—431no—
1158C4×D4—431no—
1159C4×D4—431no—
1160C4×D4—431no—
1161C4×D4—431no—
1162C4×D4—431no—
1163C4×D4—431no—
1164C4×D4—431no—
1165C4×D4—431no—
1166C4×D4—431no—
1167C4×D4—431no—
1168C4×D4—431no—
1169C4×D4—431no—
1170C4×D4—861no—
1171C4×D4—861no—
1172C4×D4—861no—
1173C4×D4—861no—
1174C4×D4—861no—
1175C4×D4—861no—
1176C4×D4—861no—
1177C4×D4—861no—
1178C4×D4—861no—
1179C4×D4—861no—
1180C4×D4—861no—
1181C4×D4—861no—
1182C4×D4C22×D4311yescharacteristic
1183C4×D4C22×D4311yescharacteristic
1184#117—21no—
1185#117—431no—
1186#117—431no—
1187#117—431no—
1188#117—431no—
1189#117—431no—
1190#117—431no—
1191#117—861no—
1192#117—861no—
1193#117—861no—
1194#117—861no—
1195#117—861no—
1196#117—861no—
1197#117—861no—
1198#117—861no—
1199#117—861no—
1200#117—861no—
1201#117—861no—
1202#117—861no—
1203#117—861no—
1204#117C22×D4311yescharacteristic
1205C2×C4⋊C4—21no—
1206C2×C4⋊C4—21no—
1207C2×C4⋊C4—431no—
1208C2×C4⋊C4—431no—
1209C2×C4⋊C4—431no—
1210C2×C4⋊C4—861no—
1211C2×C4⋊C4—861no—
1212C2×C4⋊C4—861no—
1213C2×C4⋊C4—861no—
1214C2×C4⋊C4—861no—
1215C2×C4⋊C4C22×D4311yescharacteristic
1216C2×C4⋊C4C22×D4311yescharacteristic
1217C2×C22⋊C4—861no—
1218C2×C22⋊C4—861no—
1219C2×C22⋊C4—861no—
1220C2×C42—21no—
1221C2×C42—431no—
1222C2×C42—431no—
1223C2×C42—861no—
1224C2×C42C22×D4311yescharacteristic
1225#107—431no—
1226#107—431no—
1227#107—431no—
1228#107—431no—
1229#107—431no—
1230#107—431no—
1231#107—431no—
1232#107—431no—
1233#107C22×D4311yescharacteristic
1234#107C22×D4311yescharacteristic
1235#107C22×D4311yescharacteristic
1236#107C22×D4311yescharacteristic
1237#106—431no—
1238#106—431no—
1239#106—431no—
1240#106—431no—
1241#106—431no—
1242#106—431no—
1243#106—431no—
1244#106—431no—
1245#106C22×D4311yescharacteristic
1246#106C22×D4311yescharacteristic
1247#106C22×D4311yescharacteristic
1248#106C22×D4311yescharacteristic
1249C4⋊C8—431no—
1250C4⋊C8—431no—
1251C4⋊C8—431no—
1252C4⋊C8—431no—
1253C4⋊C8—431no—
1254C4⋊C8—431no—
1255C4⋊C8C22×D4311yescharacteristic
1256C4⋊C8C22×D4311yescharacteristic
1257C4⋊C8C22×D4311yescharacteristic
1258C4⋊C8C22×D4311yescharacteristic
1259#103—431no—
1260#103—431no—
1261#103—431no—
1262#103—431no—
1263#103—431no—
1264#103—431no—
1265#103—431no—
1266#103—431no—
1267#103—431no—
1268#103—431no—
1269#103—431no—
1270#103—431no—
1271#103C22×D4311yescharacteristic
1272#103C22×D4311yescharacteristic
1273#103C22×D4311yescharacteristic
1274#103C22×D4311yescharacteristic
1275#102—431no—
1276#102—431no—
1277#102—431no—
1278#102—431no—
1279#102—431no—
1280#102—431no—
1281#102—431no—
1282#102—431no—
1283#102—431no—
1284#102—431no—
1285#102—431no—
1286#102—431no—
1287#102C22×D4311yescharacteristic
1288#102C22×D4311yescharacteristic
1289#102C22×D4311yescharacteristic
1290#102C22×D4311yescharacteristic
1291C22⋊C8—431no—
1292C22⋊C8—431no—
1293C22⋊C8—431no—
1294C22⋊C8—431no—
1295C22⋊C8—431no—
1296C22⋊C8—431no—
1297C4×C8—431no—
1298C4×C8—431no—
1299C4×C8—431no—
1300C4×C8—431no—
1301C4×C8—431no—
1302C4×C8—431no—
1303C24—861no—
1304#41—22no—
1305#41—41no—
1306#41—862no—
1307#41—1722no—
1308#41—1724no—
1309#41—1721no—
1310C2×Q8—431no—
1311C2×Q8—431no—
1312C2×Q8—431no—
1313C2×Q8—861no—
1314C2×Q8—861no—
1315C2×Q8—861no—
1316C2×Q8C23×D4311yescharacteristic
1317C2×D4—21no—
1318C2×D4—431no—
1319C2×D4—431no—
1320C2×D4—431no—
1321C2×D4—431no—
1322C2×D4—431no—
1323C2×D4—861no—
1324C2×D4—861no—
1325C2×D4—861no—
1326C2×D4—861no—
1327C2×D4—862no—
1328C2×D4—861no—
1329C2×D4—861no—
1330C2×D4—861no—
1331C2×D4—1721no—
1332C2×D4C23×D4311yescharacteristic
1333C22×C4—21no—
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—21no—
1337C22×C4—21no—
1338C22×C4—431no—
1339C22×C4—431no—
1340C22×C4—431no—
1341C22×C4—431no—
1342C22×C4—431no—
1343C22×C4—431no—
1344C22×C4—861no—
1345C22×C4—861no—
1346C22×C4—861no—
1347C22×C4—861no—
1348C22×C4—861no—
1349C22×C4—861no—
1350C22×C4—861no—
1351C22×C4—861no—
1352C22×C4—861no—
1353C22×C4—861no—
1354C22×C4—861no—
1355C22×C4—1724no—
1356C22×C4D4×D4311yescharacteristic
1357C22×C4D4×D4311yescharacteristic
1358C22×C4C23×D4311yescharacteristic
1359Q16—1721no—
1360Q16—1721no—
1361SD16—862no—
1362SD16—1721no—
1363SD16—1721no—
1364SD16—1721no—
1365D8—862no—
1366D8—1721no—
1367M16—41no—
1368M16—41no—
1369M16—1721no—
1370M16—1721no—
1371M16—1721no—
1372M16—1721no—
1373C2×C8—431no—
1374C2×C8—431no—
1375C2×C8—431no—
1376C2×C8—431no—
1377C2×C8C23×D4311yescharacteristic
1378C2×C8C23×D4311yescharacteristic
1379C2×C8C23×D4311yescharacteristic
1380C2×C8C23×D4311yescharacteristic
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—21no—
1392C4⋊C4—21no—
1393C4⋊C4—431no—
1394C4⋊C4—431no—
1395C4⋊C4—431no—
1396C4⋊C4—431no—
1397C4⋊C4—431no—
1398C4⋊C4—431no—
1399C4⋊C4—431no—
1400C4⋊C4—431no—
1401C4⋊C4—431no—
1402C4⋊C4—431no—
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⋊C4—861no—
1416C4⋊C4—861no—
1417C4⋊C4—861no—
1418C4⋊C4—861no—
1419C4⋊C4—861no—
1420C4⋊C4—861no—
1421C4⋊C4—861no—
1422C4⋊C4—861no—
1423C4⋊C4—861no—
1424C4⋊C4—861no—
1425C4⋊C4—861no—
1426C4⋊C4—861no—
1427C4⋊C4—861no—
1428C4⋊C4—861no—
1429C4⋊C4—861no—
1430C4⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4C23×D4311yescharacteristic
1434C4⋊C4C23×D4311yescharacteristic
1435C4⋊C4C23×D4311yescharacteristic
1436C4⋊C4C23×D4311yescharacteristic
1437C4⋊C4C23×D4311yescharacteristic
1438C4⋊C4C23×D4311yescharacteristic
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—431no—
1443C22⋊C4—431no—
1444C22⋊C4—431no—
1445C22⋊C4—431no—
1446C22⋊C4—431no—
1447C22⋊C4—431no—
1448C22⋊C4—861no—
1449C22⋊C4—861no—
1450C22⋊C4—861no—
1451C22⋊C4—861no—
1452C22⋊C4—861no—
1453C22⋊C4—861no—
1454C22⋊C4—861no—
1455C22⋊C4—861no—
1456C22⋊C4—861no—
1457C22⋊C4—861no—
1458C22⋊C4—861no—
1459C22⋊C4—861no—
1460C22⋊C4—861no—
1461C22⋊C4—861no—
1462C22⋊C4—861no—
1463C22⋊C4—861no—
1464C22⋊C4—861no—
1465C22⋊C4—861no—
1466C22⋊C4—861no—
1467C22⋊C4—861no—
1468C22⋊C4—861no—
1469C22⋊C4—861no—
1470C22⋊C4—861no—
1471C22⋊C4—861no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
1474C22⋊C4—861no—
1475C22⋊C4—861no—
1476C42—21no—
1477C42—21no—
1478C42—21no—
1479C42—431no—
1480C42—431no—
1481C42—431no—
1482C42—431no—
1483C42—431no—
1484C42—431no—
1485C42—861no—
1486C42—861no—
1487C42—861no—
1488C42—861no—
1489C42—861no—
1490C42—861no—
1491C42—861no—
1492C42—861no—
1493C42D4×D4311yescharacteristic
1494C42D4×D4311yescharacteristic
1495C42C23×D4311yescharacteristic
1496C42C23×D4311yescharacteristic
1497C23—21no—
1498C23—431no—
1499C23—431no—
1500C23—861no—
1501C23—861no—
1502C23—3441no—
1503C23—1722no—
1504C23—1722no—
1505C23C2×D4×D4311yescharacteristic
1506Q8—21no—
1507Q8—21no—
1508Q8—862no—
1509Q8—861no—
1510Q8—861no—
1511Q8—861no—
1512Q8—861no—
1513Q8—3441no—
1514Q8—3441no—
1515Q8—1722no—
1516D4—21no—
1517D4—42no—
1518D4—862no—
1519D4—861no—
1520D4—861no—
1521D4—861no—
1522D4—861no—
1523D4—3441no—
1524D4—3441no—
1525D4—3441no—
1526D4—1721no—
1527D4—1722no—
1528D4—1721no—
1529D4—1722no—
1530D4—1722no—
1531D4—1722no—
1532D4#1306337312yes—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—41no—
1543C2×C4—41no—
1544C2×C4—42no—
1545C2×C4—42no—
1546C2×C4—42no—
1547C2×C4—81no—
1548C2×C4—81no—
1549C2×C4—431no—
1550C2×C4—431no—
1551C2×C4—431no—
1552C2×C4—431no—
1553C2×C4—431no—
1554C2×C4—431no—
1555C2×C4—862no—
1556C2×C4—861no—
1557C2×C4—861no—
1558C2×C4—861no—
1559C2×C4—861no—
1560C2×C4—861no—
1561C2×C4—861no—
1562C2×C4—861no—
1563C2×C4—861no—
1564C2×C4—861no—
1565C2×C4—861no—
1566C2×C4—3441no—
1567C2×C4—3441no—
1568C2×C4—3441no—
1569C2×C4—3441no—
1570C2×C4—1721no—
1571C2×C4—1721no—
1572C2×C4—1721no—
1573C2×C4—1722no—
1574C2×C4—1722no—
1575C2×C4—1722no—
1576C2×C4—1722no—
1577C2×C4—1722no—
1578C2×C4—1722no—
1579C2×C4—1722no—
1580C2×C4C2×D4×D4311yescharacteristic
1581C2×C4C2×D4×D4311yescharacteristic
1582C2×C4C2×D4×D4311yescharacteristic
1583C2×C4C2×D4×D4311yescharacteristic
1584C2×C4C2×D4×D4311yescharacteristic
1585C2×C4C24×D4311yescharacteristic
1586C8—21no—
1587C8—21no—
1588C8—21no—
1589C8—21no—
1590C8—861no—
1591C8—861no—
1592C8—861no—
1593C8—861no—
1594C22—21no—
1595C22—21no—
1596C22—21no—
1597C22—22no—
1598C22—41no—
1599C22—41no—
1600C22—861no—
1601C22—861no—
1602C22—861no—
1603C22—861no—
1604C22—861no—
1605C22—861no—
1606C22—3444no—
1607C22—1721no—
1608C22—1721no—
1609C22—1721no—
1610C22—1721no—
1611C22—1721no—
1612C22—1721no—
1613C22C22×D4×D4311yescharacteristic
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—21no—
1618C4—21no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—432no—
1627C4—861no—
1628C4—861no—
1629C4—861no—
1630C4—861no—
1631C4—861no—
1632C4—1721no—
1633C4—1721no—
1634C4—1721no—
1635C4—1721no—
1636C4—1721no—
1637C4—1721no—
1638C4C2×#1306337311yescharacteristic
1639C4#1458373511yescharacteristic
1640C2—41no—
1641C2—42no—
1642C2—3441no—
1643C2—3441no—
1644C2—1721no—
1645C2—1721no—
1646C2#1914827111yescharacteristic
1647C2#575×D4311yescharacteristic
1648C2#1914936811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3080C2
socleC22×C43C23×D4
hypercenter#3080D43
hypocenterC43#62152
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3080

Complements

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

NH ≅ G/Ntype
1. #19148567C2semidirect
2. #19148157C2semidirect
3. #19147465C2semidirect
4. #19147457C2semidirect
5. #19147283C2semidirect
6. #19147247C2semidirect
7. #19147217C2semidirect
8. #19147186C2semidirect
9. #19147167C2semidirect
10. #19147166C2semidirect
11. #19147156C2semidirect
12. #19147152C2semidirect
13. #19146907C2semidirect
14. #19146896C2semidirect
15. #19146812C2semidirect
16. #19146808C2semidirect
17. #19146797C2semidirect
18. #19146793C2semidirect
19. #19145998C2semidirect
20. #19145996C2semidirect
21. #19145967C2semidirect
22. #19145767C2semidirect
23. #19145763C2semidirect
24. #19145753C2semidirect
25. #19144647C2semidirect
26. #19144618C2semidirect
27. #19144613C2semidirect
28. #19144412C2semidirect
29. #19144390C2semidirect
30. #19143725C2semidirect
31. C43×#3080C2semidirect
32. #14583626C22semidirect
36. #14583605C22semidirect
37. #14583604C22semidirect
52. #14583550C22semidirect
63. #14583434C22semidirect
66. #14583433C22semidirect
68. #125×D43C22semidirect
75. #14583303C22semidirect
76. #14583300C22semidirect
77. #14583299C22semidirect
78. #14583298C22semidirect
79. #14583298C22semidirect
80. #14583296C22semidirect
85. #14583248C22semidirect
86. #14583248C22semidirect
88. #14583243C22semidirect
90. #14583240C22semidirect
94. #14583234C22semidirect
95. #14583233C22semidirect
96. #14583229C22semidirect
97. #14583228C22semidirect
98. #14583226C22semidirect
99. #14583223C22semidirect
105. #14583209C22semidirect
106. #14583209C22semidirect
107. #14583207C22semidirect
108. #14583207C22semidirect
109. #14583206C22semidirect
110. #14583205C22semidirect
111. #14583203C22semidirect
112. #14583203C22semidirect
113. #14583202C22semidirect
116. #14583200C22semidirect
121. #14583193C22semidirect
123. #14583188C22semidirect
128. #14583157C22semidirect
130. #14583156C22semidirect
134. #14583148C22semidirect
138. #14583145C22semidirect
141. #14583122C22semidirect
142. #14583121C22semidirect
147. #14583108C22semidirect
148. #14583103C22semidirect
155. #14583023C22semidirect
156. #14583023C22semidirect
157. #14582993C22semidirect
158. C4×#10621885C22semidirect
161. C4×#10621884C22semidirect
163. #14582986C22semidirect
173. #14582975C22semidirect
174. #14582975C22semidirect
175. #14582952C22semidirect
177. #14582951C22semidirect
179. #14582940C22semidirect
181. #14582938C22semidirect
183. #14582921C22semidirect
188. C2×#125×C43C22semidirect
190. C43×#479C22semidirect
191. C43×#479C22semidirect
192. C43×#479C22semidirect
193. C43×#479C22semidirect
198. C43×#428C22semidirect
199. C43×#428C22semidirect
200. C43×#423C22semidirect
844. #3080D43semidirect
893. C2×#125C2×D43semidirect
939. #479C2×D43semidirect
940. #479C2×D43semidirect
941. #479C2×D43semidirect
942. #479C2×D43semidirect
1016. #428C2×D43semidirect
1017. #428C2×D43semidirect
1020. #423C2×D43semidirect
1027. C43#62152semidirect

Maximal subgroups

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

subgroupindex
#191485672
#191481572
#191474652
#191474572
#191472832
#191472472
#191472172
#191471862
#191471672
#191471662
#191471562
#191471522
#191469072
#191468962
#191468122
#191468082
#191467972
#191467932
#191459982
#191459962
#191459672
#191457672
#191457632
#191457532
#191446472
#191446182
#191446132
#191444122
#191443902
#191437252
C43×#30802
#6215243