Finite Group Databasebeta

← #25975817

Subgroups — #25975817

Order 11008.

1764 conjugacy classes of subgroups.

The subgroup lattice has 1652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148336C211yesmaximal, characteristic, complemented
2#19148311C211yesmaximal, characteristic
3#19147211C211yesmaximal, characteristic, complemented
4#19147208C211yesmaximal, characteristic, complemented
5#19147159C211yesmaximal, characteristic, complemented
6#19147132C211yesmaximal, characteristic, complemented
7#19147126C211yesmaximal, characteristic, complemented
8#19147126C211yesmaximal, characteristic, complemented
9#19147125C211yesmaximal, characteristic, complemented
10#19147107C211yesmaximal, characteristic, complemented
11#19147105C211yesmaximal, characteristic, complemented
12#19147080C211yesmaximal, characteristic, complemented
13#19147075C211yesmaximal, characteristic, complemented
14#19147010C211yesmaximal, characteristic, complemented
15#19147006C211yesmaximal, characteristic, complemented
16#19146962C211yesmaximal, characteristic, complemented
17#19146961C211yesmaximal, characteristic, complemented
18#19145124C211yesmaximal, characteristic, complemented
19#19144587C211yesmaximal, characteristic, complemented
20#19144557C211yesmaximal, characteristic, complemented
21#19144505C211yesmaximal, characteristic, complemented
22#485×D43C211yesmaximal, characteristic, complemented
23#19144447C211yesmaximal, characteristic, complemented
24#19144434C211yesmaximal, characteristic, complemented
25#19144281C211yesmaximal, characteristic, complemented
26#19144220C211yesmaximal, characteristic, complemented
27#19143431C211yesmaximal, characteristic, complemented
28#19143324C211yesmaximal, characteristic, complemented
29#19143194C211yesmaximal, characteristic, complemented
30#19143182C211yesmaximal, characteristic, complemented
31C43×#3351C211yesmaximal, characteristic, complemented
32C2×#13063354C2211yescharacteristic
33C2×#13063333C2211yescharacteristic
34C2×M16×D43C2211yescharacteristic
35#14583622C2211yescharacteristic
36#14583619C2211yescharacteristic
37#14583617C2211yescharacteristic
38#14583617C2211yescharacteristic
39#14583616—21no—
40#14583614C2211yescharacteristic
41#14583613—21no—
42#14583613C2211yescharacteristic
43#14583607C2211yescharacteristic
44#14583606C2211yescharacteristic
45#14583598—21no—
46#14583596C2211yescharacteristic
47#14583591C2211yescharacteristic
48#14583587—21no—
49#14583587C2211yescharacteristic
50#14583587C2211yescharacteristic
51#14583586—21no—
52#14583585—21no—
53#14583584C2211yescharacteristic
54#14583584C2211yescharacteristic
55#14583573—21no—
56#14583572—21no—
57#14583529C2211yescharacteristic
58#14583529C2211yescharacteristic
59#14583515—21no—
60#14583508—21no—
61#14583485—21no—
62#14583481—21no—
63#14583478C2211yescharacteristic
64#14583472C2211yescharacteristic
65#14583452—21no—
66#14583432—21no—
67#14583431—21no—
68#14583426—21no—
69#14583409C2211yescharacteristic
70#14583408C2211yescharacteristic
71C22⋊Q8×D43C2211yescharacteristic
72#14583380C2211yescharacteristic
73#14583379C2211yescharacteristic
74#14583378C2211yescharacteristic
75#14583375C2211yescharacteristic
76C2×#13063283C2211yescharacteristic
77#117×D43C2211yescharacteristic
78#14583309C2211yescharacteristic, complemented
79#14583309C2211yescharacteristic, complemented
80#14583307C2211yescharacteristic, complemented
81#14583307C2211yescharacteristic, complemented
82#14583299C2211yescharacteristic, complemented
83#14583297C2211yescharacteristic, complemented
84#14583296C2211yescharacteristic, complemented
85#14583243C2211yescharacteristic
86#14583243C2211yescharacteristic
87#14583243C2211yescharacteristic
88#14583243C2211yescharacteristic, complemented
89#14583242C2211yescharacteristic
90#14583242C2211yescharacteristic, complemented
91#14583241C2211yescharacteristic
92#14583241C2211yescharacteristic, complemented
93#14583240C2211yescharacteristic
94#14583240C2211yescharacteristic, complemented
95#14583239C2211yescharacteristic
96#14583238C2211yescharacteristic
97#14583238C2211yescharacteristic, complemented
98#14583237C2211yescharacteristic
99#14583237C2211yescharacteristic, complemented
100#14583234C2211yescharacteristic
101#14583234C2211yescharacteristic, complemented
102#14583233C2211yescharacteristic, complemented
103#14583231C2211yescharacteristic, complemented
104#14583231C2211yescharacteristic, complemented
105#14583230C2211yescharacteristic
106#14583230C2211yescharacteristic, complemented
107#14583222C2211yescharacteristic
108#14583222C2211yescharacteristic
109#14583222C2211yescharacteristic, complemented
110#14583216C2211yescharacteristic, complemented
111#14583215C2211yescharacteristic, complemented
112#14583210C2211yescharacteristic
113#14583209C2211yescharacteristic, complemented
114#14583209C2211yescharacteristic, complemented
115#14583204C2211yescharacteristic, complemented
116#14583203C2211yescharacteristic, complemented
117#14583203C2211yescharacteristic, complemented
118#14583197C2211yescharacteristic, complemented
119#14583195C2211yescharacteristic, complemented
120#14583194C2211yescharacteristic, complemented
121#14583193C2211yescharacteristic, complemented
122#14583193C2211yescharacteristic, complemented
123#14583185C2211yescharacteristic, complemented
124#14583182C2211yescharacteristic, complemented
125#14583179C2211yescharacteristic, complemented
126#14583177C2211yescharacteristic, complemented
127#14583157C2211yescharacteristic
128#14583157C2211yescharacteristic, complemented
129#14583156C2211yescharacteristic, complemented
130#14583155C2211yescharacteristic
131#14583144C2211yescharacteristic, complemented
132#14583143C2211yescharacteristic
133#14583141C2211yescharacteristic
134#14583141C2211yescharacteristic, complemented
135#14583139C2211yescharacteristic
136#14583138C2211yescharacteristic, complemented
137#14583127C2211yescharacteristic
138#14583126C2211yescharacteristic, complemented
139#14583125C2211yescharacteristic
140#14583125C2211yescharacteristic, complemented
141#14583005C2211yescharacteristic, complemented
142#14583004C2211yescharacteristic, complemented
143#14583000C2211yescharacteristic, complemented
144#14582999C2211yescharacteristic, complemented
145C4×Dic172C2211yescharacteristic, complemented
146#14582991C2211yescharacteristic, complemented
147#14582990C2211yescharacteristic, complemented
148#14582974C2211yescharacteristic
149#14582971C2211yescharacteristic
150#14582969C2211yescharacteristic
151#14582968C2211yescharacteristic
152#14582968C2211yescharacteristic
153C8×D172C2211yescharacteristic
154(C22⋊D43)⋊C8C2211yescharacteristic
155#14582942C2211yescharacteristic
156#14582941C2211yescharacteristic
157#14582941C2211yescharacteristic, complemented
158#14582940C2211yescharacteristic
159#14582940C2211yescharacteristic
160#14582940C2211yescharacteristic
161#14582940C2211yescharacteristic, complemented
162#14582939C2211yescharacteristic
163#14582938C2211yescharacteristic
164#14582938C2211yescharacteristic
165#14582938C2211yescharacteristic, complemented
166#14582936C2211yescharacteristic
167#14582936C2211yescharacteristic
168#14582935C2211yescharacteristic, complemented
169#14582934C2211yescharacteristic
170#14582934C2211yescharacteristic
171#14582934C2211yescharacteristic
172#14582934C2211yescharacteristic
173#14582934C2211yescharacteristic, complemented
174C2×#13063258C2211yescharacteristic, complemented
175#107×D43C2211yescharacteristic
176#107×D43C2211yescharacteristic, complemented
177#106×D43C2211yescharacteristic
178#14582924C2211yescharacteristic
179#14582906C2211yescharacteristic
180#14582897C2211yescharacteristic
181#14582892C2211yescharacteristic
182#14582892C2211yescharacteristic
183#103×D43C2211yescharacteristic
184#103×D43C2211yescharacteristic
185#14582864C2211yescharacteristic
186C22⋊C8×D43C2211yescharacteristic
187#14582853C2211yescharacteristic
188C43×#553C2211yescharacteristic
189C43×#552C2211yescharacteristic
190C43×#499C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic
192C43×#483C2211yescharacteristic, complemented
193C43×#482C2211yescharacteristic, complemented
194C43×#481C2211yescharacteristic
195C43×#479C2211yescharacteristic, complemented
196C43×#478C2211yescharacteristic, complemented
197C43×#468C2211yescharacteristic
198C43×#468C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic, complemented
200C43×#436C2211yescharacteristic
201C43×#428C2211yescharacteristic
202C43×#428C2211yescharacteristic, complemented
203C2×#10621898C2311yescharacteristic
204C2×#10621900C2311yescharacteristic
205C2×Q8×D43C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207#13063354—24no—
208C2×Dic172C2311yescharacteristic
209C2×#10621885C2311yescharacteristic
210C2×#10621883C2311yescharacteristic
211#13063333—24no—
212C2×#10621877C2311yescharacteristic
213C2×#10621872C2311yescharacteristic
214C2×#10621872C2311yescharacteristic
215C2×#10621872C2311yescharacteristic
216M16×D43—24no—
217C22×C43⋊C8C2311yescharacteristic
218C2×C8×D43C2311yescharacteristic
219C2×C8×D43C2311yescharacteristic
220C2×C8×D43C2311yescharacteristic
221C2×C8×D43C2311yescharacteristic
222C2×C8×D43C2311yescharacteristic
223#13063325C2311yescharacteristic
224#13063325C2311yescharacteristic
225#13063324—21no—
226#13063324—21no—
227#13063324—21no—
228#13063324C2311yescharacteristic
229#13063324C2311yescharacteristic
230#13063320—21no—
231#13063320—21no—
232#13063320—21no—
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063319—21no—
238#13063319—21no—
239#13063318—21no—
240#13063318—21no—
241#13063318—21no—
242#13063318—21no—
243#13063318—21no—
244#13063316—21no—
245#13063316—21no—
246#13063316—21no—
247#13063316—21no—
248#13063316C2311yescharacteristic
249#13063316C2311yescharacteristic
250#13063315—21no—
251#13063315—21no—
252#13063315—21no—
253#13063315—21no—
254#13063315—21no—
255#13063313—21no—
256#13063312—21no—
257#13063312—21no—
258#13063311—21no—
259#13063311—21no—
260#13063311—21no—
261#13063311—21no—
262#13063311—21no—
263#13063311—21no—
264#13063310—21no—
265#13063310—21no—
266#13063310—21no—
267#13063310D411yescharacteristic
268#13063309—21no—
269#13063308—21no—
270#13063308—21no—
271#13063307—21no—
272#13063307—21no—
273#13063307D411yescharacteristic
274#13063306—21no—
275#13063305—21no—
276#13063305—21no—
277#13063305—21no—
278#13063305C2311yescharacteristic
279#13063305C2311yescharacteristic
280#13063305C2311yescharacteristic
281#13063305C2311yescharacteristic
282#13063304C2311yescharacteristic
283#13063304C2311yescharacteristic
284#13063304C2311yescharacteristic
285#13063304C2311yescharacteristic
286#13063303—21no—
287#13063303—21no—
288#13063303—21no—
289#13063303D411yescharacteristic
290#13063302—21no—
291#13063302—21no—
292#13063302—21no—
293#13063302—21no—
294#13063302—21no—
295#13063302D411yescharacteristic
296#13063301C2311yescharacteristic
297#13063301C2311yescharacteristic
298#13063299—21no—
299#13063298—21no—
300#13063298D411yescharacteristic
301#13063297—21no—
302#13063297—21no—
303#13063297D411yescharacteristic
304#13063296—21no—
305#13063296—21no—
306#13063296C2311yescharacteristic
307#13063296C2311yescharacteristic
308#13063295D411yescharacteristic
309#13063293—21no—
310#13063293D411yescharacteristic
311Q8×Dic43C2311yescharacteristic
312C4×Dic86—21no—
313C4×Dic86—21no—
314C4×Dic86—21no—
315C4×Dic86—21no—
316C4×Dic86—21no—
317C4×Dic86C2311yescharacteristic
318C4×Dic86C2311yescharacteristic
319#13063290—21no—
320#13063290—21no—
321#13063290—21no—
322#13063290C2311yescharacteristic
323#13063290C2311yescharacteristic
324C4×D172—21no—
325C4×D172C2311yescharacteristic
326D4×Dic43—21no—
327D4×Dic43—21no—
328D4×Dic43C2311yescharacteristic
329#13063287—21no—
330C4×C22⋊D43—21no—
331C4×C22⋊D43—21no—
332C4×C22⋊D43—21no—
333C4×C22⋊D43C2311yescharacteristic
334C4×C22⋊D43C2311yescharacteristic
335(C22⋊D43)⋊C4—21no—
336(C22⋊D43)⋊C4—21no—
337(C22⋊D43)⋊C4—21no—
338(C22⋊D43)⋊C4—21no—
339(C22⋊D43)⋊C4—21no—
340(C22⋊D43)⋊C4—21no—
341#13063284—21no—
342#13063284—21no—
343#13063284—21no—
344#13063284C2311yescharacteristic
345#13063284C2311yescharacteristic
346#13063283—21no—
347#13063283—21no—
348#13063283—21no—
349#13063283—21no—
350#13063283—21no—
351#13063283C2311yescharacteristic
352#13063283C2311yescharacteristic
353#13063283C2311yescharacteristic
354#13063283C2311yescharacteristic
355#13063283C2311yescharacteristic
356#13063283C2311yescharacteristic
357#13063283C2311yescharacteristic
358#13063283C2311yescharacteristic
359#13063283C2311yescharacteristic
360#13063282—21no—
361#13063282—21no—
362#13063282C2311yescharacteristic
363#13063281—21no—
364#13063281—21no—
365#13063281—21no—
366#13063281—21no—
367C2×C4⋊Dic43C2311yescharacteristic
368C2×C4⋊Dic43C2311yescharacteristic
369C2×Dic43⋊C4—21no—
370C4⋊C4×D43—21no—
371C4⋊C4×D43C2311yescharacteristic
372C4⋊C4×D43C2311yescharacteristic
373C4⋊C4×D43C2311yescharacteristic
374C4⋊C4×D43C2311yescharacteristic
375C4⋊C4×D43C2311yescharacteristic
376C2×(C2×D43)⋊C4—21no—
377C22⋊C4×D43—21no—
378C22⋊C4×D43—21no—
379C2×C4×Dic43—21no—
380C42×D43—21no—
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063258C2311yescharacteristic
394#13063258C2311yescharacteristic
395#13063257C2311yescharacteristic
396#13063257C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063257C2311yescharacteristic
400#13063257C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403#13063256C2311yescharacteristic
404#13063256C2311yescharacteristic
405#13063256C2311yescharacteristic
406#13063256C2311yescharacteristic
407#13063256C2311yescharacteristic
408C4⋊(C43⋊C8)C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063250C2311yescharacteristic
415#13063250C2311yescharacteristic
416#13063250C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063249C2311yescharacteristic
419#13063249C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063248C2311yescharacteristic
424#13063248C2311yescharacteristic
425#13063248C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429C22⋊(C43⋊C8)C2311yescharacteristic
430C22⋊(C43⋊C8)C2311yescharacteristic
431(C2×D43)⋊C8C2311yescharacteristic
432(C2×D43)⋊C8C2311yescharacteristic
433(C2×D43)⋊C8C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435#13063236C2311yescharacteristic
436#13063235C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C2×M16×C43C2311yescharacteristic
441#126×C43—21no—
442#126×C43—21no—
443#125×C43—21no—
444#125×C43C2311yescharacteristic
445#125×C43C2311yescharacteristic
446#123×C43—21no—
447#123×C43—21no—
448C22⋊Q8×C43C2311yescharacteristic
449C22⋊Q8×C43C2311yescharacteristic
450#121×C43—21no—
451#121×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×D4×C43—21no—
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460C2×C4⋊C4×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43C2×D411yescharacteristic
482C2×Q8×C43C2411yescharacteristic
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43C2×D411yescharacteristic
486C2×D4×C43C2411yescharacteristic
487C22×C4×C43—21no—
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C22×C4×C43C2411yescharacteristic
491C22×C4×C43C2411yescharacteristic
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43C2×D411yescharacteristic
496C2×C22⋊D43C2×D411yescharacteristic
497C2×C22⋊D43C2×D411yescharacteristic
498C2×C22⋊D43C2×D411yescharacteristic
499C22×Dic43—21no—
500C22×Dic43—21no—
501C22×Dic43—21no—
502C22×Dic43—21no—
503C22×Dic43C2×D411yescharacteristic
504Q8×D43—22no—
505Q8×D43—22no—
506#10621900—22no—
507#10621900—22no—
508#10621898—22no—
509#10621898—22no—
510C2×D172C2×D411yescharacteristic
511C2×D172C2×D411yescharacteristic
512C2×C4×D43—22no—
513C2×C4×D43—22no—
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×D43C2×D411yescharacteristic
521C2×C4×D43C2×D411yescharacteristic
522C2×C4×D43C2411yescharacteristic
523C2×C4×D43C2411yescharacteristic
524C2×C4×D43C2411yescharacteristic
525C2×Dic86—21no—
526C2×Dic86—21no—
527C2×Dic86—21no—
528C2×Dic86—21no—
529C2×Dic86—21no—
530C2×Dic86C2×D411yescharacteristic
531C2×Dic86C2411yescharacteristic
532C2×Dic86C2411yescharacteristic
533SD16×C43—22no—
534M16×C43—22no—
535M16×C43—22no—
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×C43C2411yescharacteristic
551C4⋊C4×C43C2411yescharacteristic
552C4⋊C4×C43C2411yescharacteristic
553C4⋊C4×C43C2411yescharacteristic
554C4⋊C4×C43C2411yescharacteristic
555C4⋊C4×C43C2411yescharacteristic
556C22⋊C4×C43—21no—
557C22⋊C4×C43—21no—
558C22⋊C4×C43—21no—
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C22⋊C4×C43C2×D411yescharacteristic
564C22⋊C4×C43C2×D411yescharacteristic
565C42×C43—21no—
566C42×C43—21no—
567C42×C43—21no—
568C42×C43C2411yescharacteristic
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—
578C22⋊Dic43C2×D411yescharacteristic
579C22⋊Dic43C2×D411yescharacteristic
580#10621885—22no—
581#10621883—22no—
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)⋊C4C2×D411yescharacteristic
598(C2×D43)⋊C4C2×D411yescharacteristic
599(C2×D43)⋊C4C2×D411yescharacteristic
600(C2×D43)⋊C4C2×D411yescharacteristic
601(C2×D43)⋊C4C2×D411yescharacteristic
602(C2×D43)⋊C4C2×D411yescharacteristic
603C4⋊Dic43—21no—
604C4⋊Dic43—21no—
605C4⋊Dic43—21no—
606C4⋊Dic43—21no—
607C4⋊Dic43—21no—
608C4⋊Dic43—21no—
609C4⋊Dic43—21no—
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43C2×D411yescharacteristic
615C4⋊Dic43C2411yescharacteristic
616C4⋊Dic43C2411yescharacteristic
617C4⋊Dic43C2411yescharacteristic
618C4⋊Dic43C2411yescharacteristic
619C4⋊Dic43C2411yescharacteristic
620C4⋊Dic43C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
641Dic43⋊C4C2×D411yescharacteristic
642Dic43⋊C4C2×D411yescharacteristic
643Dic43⋊C4C2×D411yescharacteristic
644C4×Dic43—21no—
645C4×Dic43—21no—
646C4×Dic43—21no—
647C4×Dic43—21no—
648C4×Dic43—21no—
649C4×Dic43—21no—
650C4×Dic43—21no—
651C4×Dic43—21no—
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43C2411yescharacteristic
661#10621877—22no—
662C2×C43⋊C8—22no—
663C2×C43⋊C8C2411yescharacteristic
664C2×C43⋊C8C2411yescharacteristic
665C2×C43⋊C8C2411yescharacteristic
666C2×C43⋊C8C2411yescharacteristic
667Dic172—22no—
668#10621872—22no—
669#10621872—22no—
670#10621872#4114yes—
671C8×D43—22no—
672C8×D43—22no—
673C8×D43—22no—
674C8×D43—22no—
675C8×D43—22no—
676C23×C43—21no—
677C23×C43C22×D411yescharacteristic
678C23×C43C22×D411yescharacteristic
679C22×D43—22no—
680C22×D43—41no—
681C22×D43—41no—
682C22×D43C22×D411yescharacteristic
683C22×D43C22×D411yescharacteristic
684C22×D43C22×D411yescharacteristic
685Q8×C43—21no—
686Q8×C43—21no—
687D4×C43—21no—
688D4×C43—21no—
689D4×C43—41no—
690D4×C43—81no—
691D4×C43—81no—
692C2×C4×C43—21no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—42no—
704C2×C4×C43—81no—
705C2×C4×C43—81no—
706C2×C4×C43C22×D411yescharacteristic
707C2×C4×C43C22×D411yescharacteristic
708C2×C4×C43C22×D411yescharacteristic
709C2×C4×C43C22×D411yescharacteristic
710C2×C4×C43C2511yescharacteristic
711C22⋊D43—22no—
712C22⋊D43—22no—
713C22⋊D43—41no—
714C22⋊D43—41no—
715C22⋊D43—42no—
716C22⋊D43—81no—
717C22⋊D43—81no—
718C2×Dic43—22no—
719C2×Dic43—21no—
720C2×Dic43—21no—
721C2×Dic43—21no—
722C2×Dic43—21no—
723C2×Dic43—21no—
724C2×Dic43—21no—
725C2×Dic43—21no—
726C2×Dic43—21no—
727C2×Dic43—42no—
728C2×Dic43—81no—
729C2×Dic43—81no—
730C2×Dic43—81no—
731C2×Dic43C22×D411yescharacteristic
732C2×Dic43C22×D411yescharacteristic
733C2×Dic43C22×D411yescharacteristic
734C2×Dic43C22×D411yescharacteristic
735C2×Dic43C22×D411yescharacteristic
736D172—22no—
737D172—41no—
738C4×D43—22no—
739C4×D43—21no—
740C4×D43—21no—
741C4×D43—21no—
742C4×D43—21no—
743C4×D43—22no—
744C4×D43—42no—
745C4×D43—81no—
746C4×D43—81no—
747C4×D43—81no—
748C4×D43—81no—
749C4×D43—81no—
750C4×D43C2×#4112yes—
751C4×D432−1+412yes—
752Dic86—22no—
753Dic86—21no—
754Dic86—21no—
755Dic86—21no—
756Dic86—21no—
757Dic86—42no—
758Dic86—81no—
759Dic86—81no—
760Dic86—81no—
761Dic86—81no—
762C8×C43—21no—
763C8×C43—21no—
764C8×C43—21no—
765C8×C43C2×#4112yes—
766C43⋊C8—21no—
767C43⋊C8—21no—
768C43⋊C8—21no—
769C43⋊C8C2×#4112yes—
770#61275—431nomaximal, Sylow
771C22×C43—21no—
772C22×C43—21no—
773C22×C43—21no—
774C22×C43—21no—
775C22×C43—21no—
776C22×C43—21no—
777C22×C43—41no—
778C22×C43—41no—
779C22×C43—41no—
780C22×C43C23×D411yescharacteristic
781C2×D43—21no—
782C2×D43—21no—
783C2×D43—21no—
784C2×D43—21no—
785C2×D43—21no—
786C2×D43—21no—
787C2×D43—21no—
788C2×D43—21no—
789C2×D43—82no—
790C2×D43#54712yes—
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×C43C22×#4111yescharacteristic
803C4×C43C2×2−1+411yescharacteristic
804Dic43—21no—
805Dic43—21no—
806Dic43—21no—
807Dic43—21no—
808Dic43—41no—
809Dic43—41no—
810Dic43—41no—
811Dic43—41no—
812Dic43—41no—
813Dic43—41no—
814Dic43—41no—
815Dic43—41no—
816Dic43#54712yes—
817#3495—431no—
818#3493—431no—
819#3356—431no—
820#3356—431no—
821#3351—431no—
822#3351D4311yescharacteristic, complemented
823#3349—431no—
824#3349—431no—
825#3349—431no—
826#3349—431no—
827#3348—431no—
828#3348—431no—
829#3346—431no—
830#3346—431no—
831#3340—431no—
832#3340—431no—
833#3336—431no—
834#3336—431no—
835#3163—431no—
836#3099—431no—
837#3097—431no—
838#3091—431no—
839C2×#485—431no—
840#3083—431no—
841#3082—431no—
842#3063—431no—
843#3056—431no—
844#2947—431no—
845#2933—431no—
846#2913—431no—
847#2911—431no—
848C2×C43—41no—
849C2×C43—41no—
850C2×C43—81no—
851C2×C43C2×#54711yescharacteristic
852C2×C43#358411yescharacteristic
853C2×C43#358611yescharacteristic
854D43—22no—
855D43—41no—
856D43—41no—
857C2×#137—431no—
858C2×#131—431no—
859C22×M16—431no—
860#556—431no—
861#556—431no—
862#556—431no—
863#556—431no—
864#556—861no—
865#555—431no—
866#555—431no—
867#555—861no—
868#554—431no—
869#554—431no—
870#553—431no—
871#553—861no—
872#553C2×D4311yescharacteristic
873#552—431no—
874#552—431no—
875#552—431no—
876#552—431no—
877#552—431no—
878#552—861no—
879#552—861no—
880#552—861no—
881#552C2×D4311yescharacteristic
882#551—861no—
883#551—861no—
884#544—431no—
885#544—431no—
886#542—861no—
887#541—861no—
888#538—861no—
889#538—861no—
890#537—431no—
891#536—431no—
892#533—861no—
893#529—861no—
894#529—861no—
895#529—861no—
896#525—431no—
897#525—431no—
898C2×C22⋊Q8—431no—
899#520—431no—
900#520—431no—
901#520—431no—
902#519—431no—
903C2×#117—431no—
904C2×#117—431no—
905#501—431no—
906#501—431no—
907#501—431no—
908#501—431no—
909#499—431no—
910#499C2×D4311yescharacteristic, complemented
911#498—431no—
912#498—431no—
913#485—431no—
914#485—431no—
915#485—431no—
916#485—431no—
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#485—431no—
926#485—431no—
927#485—431no—
928#485C2×D4311yescharacteristic
929#484—431no—
930#484—431no—
931#484—431no—
932#483—431no—
933#483—431no—
934#483—431no—
935#483—431no—
936#483C2×D4311yescharacteristic, complemented
937#482—431no—
938#482—431no—
939#482—431no—
940#482C2×D4311yescharacteristic, complemented
941#481—431no—
942#481—431no—
943#481C2×D4311yescharacteristic
944#480—431no—
945#479—431no—
946#479—431no—
947#479—431no—
948#479—431no—
949#479—431no—
950#479C2×D4311yescharacteristic, complemented
951#478—431no—
952#478C2×D4311yescharacteristic, complemented
953#477—431no—
954#477—431no—
955#477—431no—
956#477—431no—
957#475—431no—
958#475—431no—
959#474—431no—
960#474—431no—
961#470—431no—
962#470—431no—
963#470—431no—
964#470—431no—
965#468—431no—
966#468—431no—
967#468C2×D4311yescharacteristic
968#468C2×D4311yescharacteristic, complemented
969#467—431no—
970#467—431no—
971#467—431no—
972#467—431no—
973#465—431no—
974#465—431no—
975#465—431no—
976#465—431no—
977#441—431no—
978#441—431no—
979#440—431no—
980#440—431no—
981C4×Q16—431no—
982C4×Q16—431no—
983C4×SD16—431no—
984C4×SD16C2×D4311yescharacteristic, complemented
985#436—431no—
986#436C2×D4311yescharacteristic
987#435—431no—
988#435—431no—
989#435—431no—
990#435—431no—
991C8×D4—431no—
992C8×D4—431no—
993#428—431no—
994#428—431no—
995#428—431no—
996#428—431no—
997#428—431no—
998#428—431no—
999#428—431no—
1000#428—431no—
1001#428—431no—
1002#428—431no—
1003#428—431no—
1004#428C2×D4311yescharacteristic
1005#428C2×D4311yescharacteristic, complemented
1006#427—431no—
1007#427—431no—
1008#427—431no—
1009#427—431no—
1010#427—431no—
1011#427—431no—
1012#427—431no—
1013#427—431no—
1014C2×#107—431no—
1015C2×#107—431no—
1016C2×#107—431no—
1017C2×#106—431no—
1018#424—431no—
1019#419—431no—
1020#417—431no—
1021#416—431no—
1022#416—431no—
1023C2×#103—431no—
1024C2×#103—431no—
1025#408—431no—
1026C2×C22⋊C8—431no—
1027#405—431no—
1028C43#6127511yescharacteristic, complemented, Sylow
1029C2×#41—431no—
1030C2×#41—431no—
1031C22×Q8—431no—
1032C23×C4—431no—
1033#137—864no—
1034C2×Q16—431no—
1035C2×Q16—431no—
1036C2×SD16—431no—
1037C2×SD16C22×D4311yescharacteristic
1038#131—864no—
1039C2×M16—431no—
1040C2×M16—431no—
1041C2×M16—431no—
1042C2×M16—431no—
1043C2×M16—864no—
1044C2×M16C22×D4311yescharacteristic
1045C2×M16C22×D4311yescharacteristic
1046C22×C8—431no—
1047C22×C8—431no—
1048C22×C8—431no—
1049C22×C8—431no—
1050C22×C8—431no—
1051C22×C8—431no—
1052C4⋊Q8—431no—
1053C4⋊Q8—431no—
1054C4⋊Q8—431no—
1055C4⋊Q8—431no—
1056C4⋊Q8—861no—
1057C4⋊Q8—861no—
1058C4⋊Q8—861no—
1059#126—21no—
1060#126—21no—
1061#126—861no—
1062#126—861no—
1063#126—861no—
1064#126—861no—
1065#126—861no—
1066#126—861no—
1067#126—861no—
1068#126—861no—
1069#126—861no—
1070#126—861no—
1071#126—861no—
1072#126—861no—
1073#126—861no—
1074#126—861no—
1075#125—21no—
1076#125—431no—
1077#125—431no—
1078#125—861no—
1079#125—861no—
1080#125—861no—
1081#125—861no—
1082#125—861no—
1083#125—861no—
1084#125—861no—
1085#125—861no—
1086#125—861no—
1087#125C22×D4311yescharacteristic
1088#125C22×D4311yescharacteristic
1089#124—861no—
1090#124—861no—
1091#124—861no—
1092#124—861no—
1093#124—861no—
1094#124—861no—
1095#124—861no—
1096#124—861no—
1097#124—861no—
1098#123—21no—
1099#123—21no—
1100#123—431no—
1101#123—431no—
1102#123—861no—
1103#123—861no—
1104#123—861no—
1105#123—861no—
1106#123—861no—
1107#123—861no—
1108#123—861no—
1109#123—861no—
1110#123—861no—
1111C22⋊Q8—431no—
1112C22⋊Q8—431no—
1113C22⋊Q8—431no—
1114C22⋊Q8—431no—
1115C22⋊Q8—431no—
1116C22⋊Q8—431no—
1117C22⋊Q8—431no—
1118C22⋊Q8—431no—
1119C22⋊Q8—431no—
1120C22⋊Q8—431no—
1121C22⋊Q8—431no—
1122C22⋊Q8—431no—
1123C22⋊Q8—861no—
1124C22⋊Q8—861no—
1125C22⋊Q8—861no—
1126C22⋊Q8—861no—
1127C22⋊Q8—861no—
1128C22⋊Q8—861no—
1129C22⋊Q8—861no—
1130C22⋊Q8—861no—
1131C22⋊Q8—861no—
1132C22⋊Q8—861no—
1133C22⋊Q8—861no—
1134C22⋊Q8C22×D4311yescharacteristic
1135C22⋊Q8C22×D4311yescharacteristic
1136#121—21no—
1137#121—431no—
1138#121—431no—
1139#121—431no—
1140#121—431no—
1141#121—861no—
1142#121—861no—
1143#121—861no—
1144#121—861no—
1145#121—861no—
1146#121—861no—
1147#121C22×D4311yescharacteristic
1148#121C22×D4311yescharacteristic
1149#120—431no—
1150#120—431no—
1151#120—861no—
1152C4×Q8—431no—
1153C4×Q8—431no—
1154C4×Q8—431no—
1155C4×Q8—431no—
1156C4×Q8—431no—
1157C4×Q8—861no—
1158C4×Q8—861no—
1159C4×Q8—861no—
1160C4×Q8—861no—
1161C4×Q8—861no—
1162C4×Q8—861no—
1163C4×Q8—861no—
1164C4×Q8—861no—
1165C4×Q8C22×D4311yescharacteristic
1166C4×D4—21no—
1167C4×D4—431no—
1168C4×D4—431no—
1169C4×D4—431no—
1170C4×D4—431no—
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×D4—861no—
1183C4×D4—861no—
1184C4×D4C22×D4311yescharacteristic
1185C4×D4C22×D4311yescharacteristic
1186#117—21no—
1187#117—431no—
1188#117—431no—
1189#117—431no—
1190#117—431no—
1191#117—431no—
1192#117—431no—
1193#117—431no—
1194#117—431no—
1195#117—431no—
1196#117—431no—
1197#117—431no—
1198#117—431no—
1199#117—861no—
1200#117—861no—
1201#117—861no—
1202#117—861no—
1203#117—861no—
1204#117—861no—
1205#117—861no—
1206#117—861no—
1207#117—861no—
1208#117—861no—
1209#117—861no—
1210#117—861no—
1211#117—861no—
1212#117—861no—
1213#117C22×D4311yescharacteristic
1214#117C22×D4311yescharacteristic
1215C2×C4⋊C4—431no—
1216C2×C4⋊C4—431no—
1217C2×C4⋊C4—431no—
1218C2×C4⋊C4—431no—
1219C2×C4⋊C4—431no—
1220C2×C4⋊C4—431no—
1221C2×C4⋊C4—431no—
1222C2×C4⋊C4—861no—
1223C2×C4⋊C4—861no—
1224C2×C4⋊C4C22×D4311yescharacteristic
1225C2×C4⋊C4C22×D4311yescharacteristic
1226C2×C22⋊C4—861no—
1227C2×C22⋊C4—861no—
1228C2×C22⋊C4—861no—
1229C2×C42—861no—
1230C2×C42—861no—
1231#107—431no—
1232#107—431no—
1233#107—431no—
1234#107—431no—
1235#107—431no—
1236#107—431no—
1237#107—431no—
1238#107—431no—
1239#107—431no—
1240#107—431no—
1241#107—431no—
1242#107—431no—
1243#107—431no—
1244#107—431no—
1245#107C22×D4311yescharacteristic
1246#107C22×D4311yescharacteristic
1247#107C22×D4311yescharacteristic
1248#107C22×D4311yescharacteristic
1249#106—431no—
1250#106—431no—
1251#106—431no—
1252#106—431no—
1253#106—431no—
1254#106—431no—
1255#106—431no—
1256#106—431no—
1257#106—431no—
1258#106—431no—
1259#106—431no—
1260#106—431no—
1261#106—431no—
1262#106C22×D4311yescharacteristic
1263#106C22×D4311yescharacteristic
1264#106C22×D4311yescharacteristic
1265#106C22×D4311yescharacteristic
1266#106C22×D4311yescharacteristic
1267C4⋊C8—431no—
1268C4⋊C8—431no—
1269C4⋊C8—431no—
1270C4⋊C8C22×D4311yescharacteristic
1271#103—431no—
1272#103—431no—
1273#103—431no—
1274#103—431no—
1275#103—431no—
1276#103—431no—
1277#103—431no—
1278#103—431no—
1279#103—431no—
1280#103—431no—
1281#103—431no—
1282#103—431no—
1283#103—431no—
1284#103—431no—
1285#103—431no—
1286#103C22×D4311yescharacteristic
1287#103C22×D4311yescharacteristic
1288#103C22×D4311yescharacteristic
1289#102—431no—
1290#102—431no—
1291#102—431no—
1292#102C22×D4311yescharacteristic
1293#102C22×D4311yescharacteristic
1294#102C22×D4311yescharacteristic
1295C22⋊C8—431no—
1296C22⋊C8—431no—
1297C22⋊C8—431no—
1298C22⋊C8—431no—
1299C22⋊C8—431no—
1300C22⋊C8—431no—
1301C22⋊C8C22×D4311yescharacteristic
1302C22⋊C8C22×D4311yescharacteristic
1303#97—431no—
1304#97—431no—
1305C4×C8—431no—
1306C4×C8C22×D4311yescharacteristic
1307C24—431no—
1308#41—862no—
1309#41—862no—
1310#41—862no—
1311#41—862no—
1312C2×Q8—431no—
1313C2×Q8—431no—
1314C2×Q8—431no—
1315C2×Q8—861no—
1316C2×Q8—861no—
1317C2×Q8—861no—
1318C2×Q8—862no—
1319C2×Q8—862no—
1320C2×Q8—861no—
1321C2×Q8—861no—
1322C2×Q8C23×D4311yescharacteristic
1323C2×D4—21no—
1324C2×D4—21no—
1325C2×D4—431no—
1326C2×D4—431no—
1327C2×D4—431no—
1328C2×D4—431no—
1329C2×D4—431no—
1330C2×D4—431no—
1331C2×D4—861no—
1332C2×D4—861no—
1333C2×D4—861no—
1334C2×D4D4×D4311yescharacteristic
1335C2×D4C23×D4311yescharacteristic
1336C22×C4—21no—
1337C22×C4—21no—
1338C22×C4—21no—
1339C22×C4—431no—
1340C22×C4—431no—
1341C22×C4—431no—
1342C22×C4—431no—
1343C22×C4—431no—
1344C22×C4—431no—
1345C22×C4—862no—
1346C22×C4—862no—
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—861no—
1356C22×C4—861no—
1357C22×C4C23×D4311yescharacteristic
1358C22×C4C23×D4311yescharacteristic
1359Q16—862no—
1360Q16—862no—
1361SD16—22no—
1362SD16—862no—
1363M16—22no—
1364M16—22no—
1365M16—434no—
1366M16—862no—
1367M16—862no—
1368M16—862no—
1369C2×C8—431no—
1370C2×C8—431no—
1371C2×C8—431no—
1372C2×C8—431no—
1373C2×C8—862no—
1374C2×C8—862no—
1375C2×C8—862no—
1376C2×C8—862no—
1377C2×C8—862no—
1378C2×C8—862no—
1379C2×C8C23×D4311yescharacteristic
1380C2×C8C23×D4311yescharacteristic
1381C2×C8C23×D4311yescharacteristic
1382C2×C8C23×D4311yescharacteristic
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—431no—
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⋊C4D4×D4311yescharacteristic
1434C4⋊C4C23×D4311yescharacteristic
1435C4⋊C4C23×D4311yescharacteristic
1436C4⋊C4C23×D4311yescharacteristic
1437C4⋊C4C23×D4311yescharacteristic
1438C4⋊C4C23×D4311yescharacteristic
1439C4⋊C4C23×D4311yescharacteristic
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—431no—
1448C22⋊C4—431no—
1449C22⋊C4—431no—
1450C22⋊C4—431no—
1451C22⋊C4—431no—
1452C22⋊C4—431no—
1453C22⋊C4—431no—
1454C22⋊C4—431no—
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—
1476C22⋊C4—861no—
1477C22⋊C4—861no—
1478C22⋊C4—861no—
1479C22⋊C4D4×D4311yescharacteristic
1480C22⋊C4D4×D4311yescharacteristic
1481C42—21no—
1482C42—21no—
1483C42—21no—
1484C42—431no—
1485C42—861no—
1486C42—861no—
1487C42—861no—
1488C42—861no—
1489C42—861no—
1490C42—861no—
1491C42—861no—
1492C42—861no—
1493C42—861no—
1494C42—861no—
1495C42—861no—
1496C42—861no—
1497C42—861no—
1498C42—861no—
1499C42—861no—
1500C42—861no—
1501C42C23×D4311yescharacteristic
1502C23—21no—
1503C23—431no—
1504C23—431no—
1505C23—431no—
1506C23—862no—
1507C23—1721no—
1508C23—1721no—
1509C23C2×D4×D4311yescharacteristic
1510C23C2×D4×D4311yescharacteristic
1511Q8—21no—
1512Q8—21no—
1513Q8—862no—
1514Q8—861no—
1515Q8—861no—
1516Q8—861no—
1517Q8—861no—
1518Q8—3441no—
1519Q8—3441no—
1520Q8—3441no—
1521Q8—3441no—
1522Q8—1722no—
1523D4—21no—
1524D4—21no—
1525D4—41no—
1526D4—81no—
1527D4—81no—
1528D4—862no—
1529D4—862no—
1530D4—862no—
1531D4—3441no—
1532D4—3441no—
1533D4—1721no—
1534D4—1721no—
1535D4—1721no—
1536D4—1722no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—42no—
1549C2×C4—81no—
1550C2×C4—81no—
1551C2×C4—431no—
1552C2×C4—432no—
1553C2×C4—432no—
1554C2×C4—431no—
1555C2×C4—431no—
1556C2×C4—431no—
1557C2×C4—431no—
1558C2×C4—862no—
1559C2×C4—862no—
1560C2×C4—862no—
1561C2×C4—861no—
1562C2×C4—861no—
1563C2×C4—861no—
1564C2×C4—861no—
1565C2×C4—861no—
1566C2×C4—861no—
1567C2×C4—861no—
1568C2×C4—861no—
1569C2×C4—861no—
1570C2×C4—861no—
1571C2×C4—861no—
1572C2×C4—861no—
1573C2×C4—3441no—
1574C2×C4—3441no—
1575C2×C4—3441no—
1576C2×C4—3441no—
1577C2×C4—3441no—
1578C2×C4—3441no—
1579C2×C4—3441no—
1580C2×C4—3441no—
1581C2×C4—1722no—
1582C2×C4—1722no—
1583C2×C4C2×D4×D4311yescharacteristic
1584C2×C4C2×D4×D4311yescharacteristic
1585C2×C4C2×D4×D4311yescharacteristic
1586C2×C4C2×D4×D4311yescharacteristic
1587C2×C4C24×D4311yescharacteristic
1588C8—21no—
1589C8—21no—
1590C8—21no—
1591C8—432no—
1592C8—861no—
1593C8—861no—
1594C8—861no—
1595C8#41×D4312yes—
1596C22—21no—
1597C22—21no—
1598C22—21no—
1599C22—21no—
1600C22—21no—
1601C22—21no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—432no—
1606C22—861no—
1607C22—861no—
1608C22—861no—
1609C22—861no—
1610C22—861no—
1611C22—861no—
1612C22—861no—
1613C22—861no—
1614C22—3442no—
1615C22C22×D4×D4311yescharacteristic
1616C4—21no—
1617C4—21no—
1618C4—21no—
1619C4—21no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—432no—
1628C4—861no—
1629C4—861no—
1630C4—861no—
1631C4—861no—
1632C4—1721no—
1633C4—1721no—
1634C4—1721no—
1635C4—1721no—
1636C4—1721no—
1637C4—1721no—
1638C4—1721no—
1639C4—1721no—
1640C4C2×#41×D4311yescharacteristic
1641C42−1+4×D4311yescharacteristic
1642C2—41no—
1643C2—41no—
1644C2—81no—
1645C2—862no—
1646C2—1721no—
1647C2—1721no—
1648C2#547×D4311yescharacteristic
1649C2#1914936711yescharacteristic
1650C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3351C2
socleC22×C43C23×D4
prime radical#19148311C2
hypercenter#3351D43
hypocenterC43#61275
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3351

Complements

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

NH ≅ G/Ntype
1. #19148336C2semidirect
3. #19147211C2semidirect
4. #19147208C2semidirect
5. #19147159C2semidirect
6. #19147132C2semidirect
7. #19147126C2semidirect
8. #19147126C2semidirect
9. #19147125C2semidirect
10. #19147107C2semidirect
11. #19147105C2semidirect
12. #19147080C2semidirect
13. #19147075C2semidirect
14. #19147010C2semidirect
15. #19147006C2semidirect
16. #19146962C2semidirect
17. #19146961C2semidirect
18. #19145124C2semidirect
19. #19144587C2semidirect
20. #19144557C2semidirect
21. #19144505C2semidirect
22. #485×D43C2semidirect
23. #19144447C2semidirect
24. #19144434C2semidirect
25. #19144281C2semidirect
26. #19144220C2semidirect
27. #19143431C2semidirect
28. #19143324C2semidirect
29. #19143194C2semidirect
30. #19143182C2semidirect
31. C43×#3351C2semidirect
78. #14583309C22semidirect
79. #14583309C22semidirect
80. #14583307C22semidirect
81. #14583307C22semidirect
82. #14583299C22semidirect
83. #14583297C22semidirect
84. #14583296C22semidirect
88. #14583243C22semidirect
90. #14583242C22semidirect
92. #14583241C22semidirect
94. #14583240C22semidirect
97. #14583238C22semidirect
99. #14583237C22semidirect
101. #14583234C22semidirect
102. #14583233C22semidirect
103. #14583231C22semidirect
104. #14583231C22semidirect
106. #14583230C22semidirect
109. #14583222C22semidirect
110. #14583216C22semidirect
111. #14583215C22semidirect
113. #14583209C22semidirect
114. #14583209C22semidirect
115. #14583204C22semidirect
116. #14583203C22semidirect
117. #14583203C22semidirect
118. #14583197C22semidirect
119. #14583195C22semidirect
120. #14583194C22semidirect
121. #14583193C22semidirect
122. #14583193C22semidirect
123. #14583185C22semidirect
124. #14583182C22semidirect
125. #14583179C22semidirect
126. #14583177C22semidirect
128. #14583157C22semidirect
129. #14583156C22semidirect
131. #14583144C22semidirect
134. #14583141C22semidirect
136. #14583138C22semidirect
138. #14583126C22semidirect
140. #14583125C22semidirect
141. #14583005C22semidirect
142. #14583004C22semidirect
143. #14583000C22semidirect
144. #14582999C22semidirect
145. C4×Dic172C22semidirect
146. #14582991C22semidirect
147. #14582990C22semidirect
157. #14582941C22semidirect
161. #14582940C22semidirect
165. #14582938C22semidirect
168. #14582935C22semidirect
173. #14582934C22semidirect
174. C2×#13063258C22semidirect
176. #107×D43C22semidirect
190. C43×#499C22semidirect
192. C43×#483C22semidirect
193. C43×#482C22semidirect
195. C43×#479C22semidirect
196. C43×#478C22semidirect
198. C43×#468C22semidirect
199. C4×SD16×C43C22semidirect
202. C43×#428C22semidirect
822. #3351D43semidirect
910. #499C2×D43semidirect
936. #483C2×D43semidirect
940. #482C2×D43semidirect
950. #479C2×D43semidirect
952. #478C2×D43semidirect
968. #468C2×D43semidirect
984. C4×SD16C2×D43semidirect
1005. #428C2×D43semidirect
1028. C43#61275semidirect

Maximal subgroups

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

subgroupindex
#191483362
#191483112
#191472112
#191472082
#191471592
#191471322
#191471262
#191471252
#191471072
#191471052
#191470802
#191470752
#191470102
#191470062
#191469622
#191469612
#191451242
#191445872
#191445572
#191445052
#485×D432
#191444472
#191444342
#191442812
#191442202
#191434312
#191433242
#191431942
#191431822
C43×#33512
#6127543