Finite Group Databasebeta

← #25975886

Subgroups — #25975886

Order 11008.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148495C211yesmaximal, characteristic, complemented
2#19148441C211yesmaximal, characteristic, complemented
3#19147188C211yesmaximal, characteristic, complemented
4#19147185C211yesmaximal, characteristic, complemented
5#19147177C211yesmaximal, characteristic, complemented
6#19147175C211yesmaximal, characteristic, complemented
7#19147100C211yesmaximal, characteristic, complemented
8#19147095C211yesmaximal, characteristic, complemented
9#19147092C211yesmaximal, characteristic, complemented
10#19147082C211yesmaximal, characteristic, complemented
11#19147080C211yesmaximal, characteristic, complemented
12#19147079C211yesmaximal, characteristic, complemented
13#19147077C211yesmaximal, characteristic, complemented
14#19147006C211yesmaximal, characteristic, complemented
15#19147004C211yesmaximal, characteristic, complemented
16#19146939C211yesmaximal, characteristic, complemented
17#19146937C211yesmaximal, characteristic, complemented
18#19145140C211yesmaximal, characteristic, complemented
19#19144570C211yesmaximal, characteristic, complemented
20#19144568C211yesmaximal, characteristic, complemented
21#19144550C211yesmaximal, characteristic, complemented
22#19144548C211yesmaximal, characteristic, complemented
23#19144380C211yesmaximal, characteristic, complemented
24#474×D43C211yesmaximal, characteristic, complemented
25#19144274C211yesmaximal, characteristic, complemented
26#19144272C211yesmaximal, characteristic, complemented
27#19143406C211yesmaximal, characteristic, complemented
28#19143336C211yesmaximal, characteristic, complemented
29#19143194C211yesmaximal, characteristic, complemented
30#19143192C211yesmaximal, characteristic, complemented
31C43×#3347C211yesmaximal, characteristic, complemented
32C2×#13063349C2211yescharacteristic
33C2×#13063333C2211yescharacteristic
34C2×#13063331C2211yescharacteristic
35#14583633—21no—
36#14583632—21no—
37#14583617C2211yescharacteristic, complemented
38#14583617C2211yescharacteristic, complemented
39#14583616—21no—
40#14583614C2211yescharacteristic, complemented
41#14583613C2211yescharacteristic
42#14583612C2211yescharacteristic
43#14583610C2211yescharacteristic, complemented
44#14583606C2211yescharacteristic, complemented
45#14583602C2211yescharacteristic
46#14583599C2211yescharacteristic
47#14583596—21no—
48#14583595C2211yescharacteristic
49#14583593—21no—
50#14583567—21no—
51#14583557—21no—
52#14583557—21no—
53#14583550C2211yescharacteristic
54#14583549C2211yescharacteristic
55#14583549C2211yescharacteristic, complemented
56#14583549C2211yescharacteristic, complemented
57#14583513—21no—
58#14583513—21no—
59#14583488—21no—
60#14583481—21no—
61#14583478C2211yescharacteristic
62#14583478C2211yescharacteristic
63#14583465C2211yescharacteristic
64#14583465C2211yescharacteristic
65#14583455C2211yescharacteristic
66#14583452—21no—
67#14583446C2211yescharacteristic
68#14583444—21no—
69C4⋊Q8×D43C2211yescharacteristic
70#14583408—21no—
71#14583407—21no—
72#14583380C2211yescharacteristic
73#14583379C2211yescharacteristic
74#14583379C2211yescharacteristic
75#14583379C2211yescharacteristic
76C4×#10621900C2211yescharacteristic
77C4×D4×D43C2211yescharacteristic
78#14583309C2211yescharacteristic, complemented
79#14583308C2211yescharacteristic, complemented
80#14583305C2211yescharacteristic, complemented
81#14583303C2211yescharacteristic, complemented
82#14583303C2211yescharacteristic, complemented
83#14583296C2211yescharacteristic, complemented
84#14583296C2211yescharacteristic, complemented
85#14583243C2211yescharacteristic, complemented
86#14583242C2211yescharacteristic, complemented
87#14583241C2211yescharacteristic, complemented
88#14583240C2211yescharacteristic, complemented
89#14583236C2211yescharacteristic, complemented
90#14583236C2211yescharacteristic, complemented
91#14583235C2211yescharacteristic, complemented
92#14583234C2211yescharacteristic, complemented
93#14583226C2211yescharacteristic
94#14583225C2211yescharacteristic
95#14583223C2211yescharacteristic
96#14583223C2211yescharacteristic
97#14583222C2211yescharacteristic
98#14583222C2211yescharacteristic, complemented
99#14583221C2211yescharacteristic
100#14583221C2211yescharacteristic, complemented
101#14583220C2211yescharacteristic, complemented
102#14583219C2211yescharacteristic
103#14583218C2211yescharacteristic
104#14583216C2211yescharacteristic
105#14583215C2211yescharacteristic
106#14583214C2211yescharacteristic
107#14583213C2211yescharacteristic
108#14583211C2211yescharacteristic
109#14583211C2211yescharacteristic, complemented
110#14583211C2211yescharacteristic, complemented
111#14583210C2211yescharacteristic
112#14583210C2211yescharacteristic, complemented
113#14583207C2211yescharacteristic, complemented
114#14583203C2211yescharacteristic, complemented
115#14583199C2211yescharacteristic, complemented
116#14583193C2211yescharacteristic, complemented
117#14583187C2211yescharacteristic, complemented
118#14583183C2211yescharacteristic, complemented
119#14583180C2211yescharacteristic
120#14583179C2211yescharacteristic
121#14583178C2211yescharacteristic
122#14583178C2211yescharacteristic
123#14583177C2211yescharacteristic
124#14583177C2211yescharacteristic
125#14583177C2211yescharacteristic, complemented
126#14583176C2211yescharacteristic
127#14583151C2211yescharacteristic
128#14583150C2211yescharacteristic
129#14583149C2211yescharacteristic
130#14583146C2211yescharacteristic
131#14583145C2211yescharacteristic
132#14583144C2211yescharacteristic
133#14583143C2211yescharacteristic
134#14583134C2211yescharacteristic
135#14583133C2211yescharacteristic
136#14583132C2211yescharacteristic
137#14583129C2211yescharacteristic
138#14583128C2211yescharacteristic
139#14583127C2211yescharacteristic
140#14583126C2211yescharacteristic
141#14583009C2211yescharacteristic
142#14583001C2211yescharacteristic
143#14582999C2211yescharacteristic
144#14582990C2211yescharacteristic
145#14582986C2211yescharacteristic
146D8×Dic43C2211yescharacteristic
147#14582979C2211yescharacteristic
148#14582975C2211yescharacteristic, complemented
149#14582974C2211yescharacteristic, complemented
150#14582972C2211yescharacteristic, complemented
151#14582971C2211yescharacteristic, complemented
152#14582969C2211yescharacteristic, complemented
153C8×C22⋊D43C2211yescharacteristic, complemented
154(C22⋊D43)⋊C8C2211yescharacteristic, complemented
155#14582942C2211yescharacteristic, complemented
156#14582942C2211yescharacteristic, complemented
157#14582941C2211yescharacteristic, complemented
158#14582940C2211yescharacteristic
159#14582940C2211yescharacteristic
160#14582940C2211yescharacteristic, complemented
161#14582938C2211yescharacteristic
162#14582938C2211yescharacteristic
163#14582938C2211yescharacteristic
164#14582938C2211yescharacteristic, complemented
165#14582938C2211yescharacteristic, complemented
166#14582938C2211yescharacteristic, complemented
167#14582936C2211yescharacteristic
168#14582936C2211yescharacteristic, complemented
169#14582935C2211yescharacteristic, complemented
170#14582934C2211yescharacteristic
171#14582934C2211yescharacteristic, complemented
172C2×#13063259C2211yescharacteristic, complemented
173C2×#13063258C2211yescharacteristic, complemented
174#107×D43C2211yescharacteristic
175#107×D43C2211yescharacteristic
176#107×D43C2211yescharacteristic, complemented
177#107×D43C2211yescharacteristic, complemented
178C4⋊C8×D43C2211yescharacteristic
179#14582902C2211yescharacteristic
180#14582897C2211yescharacteristic
181#14582892C2211yescharacteristic
182#14582892C2211yescharacteristic
183#102×D43C2211yescharacteristic
184#102×D43C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582864C2211yescharacteristic
187#14582851C2211yescharacteristic
188C43×#555C2211yescharacteristic, complemented
189C43×#553C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic
192C43×#482C2211yescharacteristic
193C43×#482C2211yescharacteristic, complemented
194C43×#480C2211yescharacteristic, complemented
195C43×#478C2211yescharacteristic, complemented
196C43×#474C2211yescharacteristic
197C43×#469C2211yescharacteristic
198C43×#466C2211yescharacteristic
199C43×#442C2211yescharacteristic
200C43×#435C2211yescharacteristic, complemented
201C43×#428C2211yescharacteristic, complemented
202C43×#427C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621898C2311yescharacteristic
205C2×#10621898C2311yescharacteristic
206C2×#10621900—21no—
207C2×#10621900—21no—
208C2×#10621900—21no—
209C2×#10621900C2311yescharacteristic
210C2×Q8×D43—21no—
211C2×D4×D43C2311yescharacteristic
212C22×C4×D43—21no—
213#13063349—24no—
214C2×#10621873C2311yescharacteristic
215C2×#10621883C2311yescharacteristic
216C2×#10621882C2311yescharacteristic
217#13063333—24no—
218#13063331—24no—
219C2×#10621877C2311yescharacteristic
220C2×#10621872C2311yescharacteristic
221C2×#10621872C2311yescharacteristic
222C2×#10621872C2311yescharacteristic
223C2×#10621872C2311yescharacteristic
224C22×C43⋊C8C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226C2×C8×D43C2311yescharacteristic
227C2×C8×D43C2311yescharacteristic
228C2×C8×D43C2311yescharacteristic
229#13063325C2311yescharacteristic
230#13063324—21no—
231#13063324D411yescharacteristic
232#13063324C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063323—21no—
237#13063321—21no—
238#13063321—21no—
239#13063321D411yescharacteristic
240#13063320—21no—
241#13063320—21no—
242#13063319—21no—
243#13063319—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063317C2311yescharacteristic
248#13063316—21no—
249#13063316—21no—
250#13063313—21no—
251#13063312—21no—
252#13063311—21no—
253#13063311—21no—
254#13063311—21no—
255#13063311—21no—
256#13063311—21no—
257#13063311—21no—
258#13063311—21no—
259#13063311—21no—
260#13063311D411yescharacteristic
261#13063311D411yescharacteristic
262#13063310—21no—
263#13063310—21no—
264#13063308—21no—
265#13063308—21no—
266#13063307—21no—
267#13063307—21no—
268#13063307—21no—
269#13063307—21no—
270#13063306—21no—
271#13063306—21no—
272#13063306—21no—
273#13063305C2311yescharacteristic
274#13063305C2311yescharacteristic
275#13063304C2311yescharacteristic
276#13063304C2311yescharacteristic
277#13063303—21no—
278#13063303—21no—
279#13063303—21no—
280#13063302—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#13063300—21no—
290#13063300D411yescharacteristic
291#13063300C2311yescharacteristic
292#13063300C2311yescharacteristic
293#13063299—21no—
294#13063299C2311yescharacteristic
295#13063299C2311yescharacteristic
296#13063298—21no—
297#13063298—21no—
298#13063298—21no—
299#13063298—21no—
300#13063298D411yescharacteristic
301#13063298D411yescharacteristic
302#13063297—21no—
303#13063297—21no—
304#13063297—21no—
305#13063297—21no—
306#13063296—21no—
307#13063296—21no—
308#13063296D411yescharacteristic
309#13063296C2311yescharacteristic
310#13063296C2311yescharacteristic
311#13063296C2311yescharacteristic
312#13063296C2311yescharacteristic
313#13063295—21no—
314#13063295—21no—
315#13063293—21no—
316#13063293—21no—
317C4×Dic86—21no—
318C4×Dic86—21no—
319C4×Dic86—21no—
320C4×Dic86—21no—
321C4×Dic86—21no—
322C4×Dic86C2311yescharacteristic
323#13063290—21no—
324#13063290—21no—
325#13063290—21no—
326#13063290C2311yescharacteristic
327C4×D172—21no—
328C4×D172—21no—
329C4×D172—21no—
330C4×D172C2311yescharacteristic
331C4×D172C2311yescharacteristic
332D4×Dic43—21no—
333D4×Dic43C2311yescharacteristic
334D4×Dic43C2311yescharacteristic
335#13063287—21no—
336#13063287—21no—
337#13063287—21no—
338#13063287C2311yescharacteristic
339C4×C22⋊D43—21no—
340C4×C22⋊D43—21no—
341C4×C22⋊D43—21no—
342C4×C22⋊D43—21no—
343C4×C22⋊D43—21no—
344C4×C22⋊D43C2311yescharacteristic
345C4×C22⋊D43C2311yescharacteristic
346(C22⋊D43)⋊C4—21no—
347(C22⋊D43)⋊C4—21no—
348(C22⋊D43)⋊C4—21no—
349(C22⋊D43)⋊C4—21no—
350(C22⋊D43)⋊C4—21no—
351(C22⋊D43)⋊C4—21no—
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355#13063284—21no—
356#13063284C2311yescharacteristic
357#13063283C2311yescharacteristic
358#13063283C2311yescharacteristic
359#13063283C2311yescharacteristic
360#13063283C2311yescharacteristic
361#13063283C2311yescharacteristic
362#13063283C2311yescharacteristic
363#13063283C2311yescharacteristic
364#13063282—21no—
365#13063281—21no—
366#13063281—21no—
367C2×C4⋊Dic43C2311yescharacteristic
368C2×C4⋊Dic43C2311yescharacteristic
369C2×C4⋊Dic43C2311yescharacteristic
370C4⋊C4×D43—21no—
371C4⋊C4×D43C2311yescharacteristic
372C4⋊C4×D43C2311yescharacteristic
373C4⋊C4×D43C2311yescharacteristic
374C4⋊C4×D43C2311yescharacteristic
375C4⋊C4×D43C2311yescharacteristic
376C4⋊C4×D43C2311yescharacteristic
377C4⋊C4×D43C2311yescharacteristic
378C22⋊C4×D43—21no—
379C2×C4×Dic43—21no—
380C42×D43C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063258C2311yescharacteristic
394#13063258C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063258C2311yescharacteristic
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#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063245C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
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
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×D8×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442#126×C43—21no—
443#125×C43C2311yescharacteristic
444#124×C43—21no—
445#124×C43—21no—
446#123×C43—21no—
447#121×C43—21no—
448#121×C43—21no—
449#121×C43C2311yescharacteristic
450#121×C43C2311yescharacteristic
451#121×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453C4×D4×C43—21no—
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460#117×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C23×D43—21no—
482C2×Q8×C43—21no—
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43C2×D411yescharacteristic
488C2×D4×C43C2411yescharacteristic
489C2×D4×C43C2411yescharacteristic
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43C2411yescharacteristic
494C22×C4×C43C2411yescharacteristic
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43C2×D411yescharacteristic
504C2×C22⋊D43C2×D411yescharacteristic
505C2×C22⋊D43C2×D411yescharacteristic
506C2×C22⋊D43C2×D411yescharacteristic
507C2×C22⋊D43C2×D411yescharacteristic
508C2×C22⋊D43C2×D411yescharacteristic
509C22×Dic43—21no—
510C22×Dic43—21no—
511C22×Dic43—21no—
512C22×Dic43—21no—
513C22×Dic43—21no—
514C22×Dic43—21no—
515Q8×D43—82no—
516#10621900—22no—
517#10621900—22no—
518#10621900—82no—
519#10621900—82no—
520#10621900—82no—
521D4×D43—22no—
522D4×D43—22no—
523#10621898—22no—
524#10621898—22no—
525#10621898—22no—
526#10621898—22no—
527#10621898—82no—
528C2×D172—21no—
529C2×D172—21no—
530C2×D172C2×D411yescharacteristic
531C2×D172C2×D411yescharacteristic
532C2×D172C2×D411yescharacteristic
533C2×D172C2411yescharacteristic
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43—21no—
540C2×C4×D43—21no—
541C2×C4×D43—21no—
542C2×C4×D43—21no—
543C2×C4×D43—82no—
544C2×C4×D43C2×D411yescharacteristic
545C2×C4×D43C2×D411yescharacteristic
546C2×C4×D43C2411yescharacteristic
547C2×C4×D43C2411yescharacteristic
548C2×C4×D43C2411yescharacteristic
549C2×Dic86—21no—
550C2×Dic86—21no—
551C2×Dic86—21no—
552C2×Dic86—21no—
553C2×Dic86—21no—
554C2×Dic86C2×D411yescharacteristic
555C2×Dic86C2×D411yescharacteristic
556C2×Dic86C2411yescharacteristic
557D8×C43—22no—
558M16×C43—22no—
559C2×C8×C43—22no—
560C2×C8×C43C2411yescharacteristic
561C2×C8×C43C2411yescharacteristic
562C2×C8×C43C2411yescharacteristic
563C2×C8×C43C2411yescharacteristic
564C4⋊C4×C43—21no—
565C4⋊C4×C43—21no—
566C4⋊C4×C43—21no—
567C4⋊C4×C43—21no—
568C4⋊C4×C43C2×D411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
571C4⋊C4×C43C2411yescharacteristic
572C4⋊C4×C43C2411yescharacteristic
573C4⋊C4×C43C2411yescharacteristic
574C4⋊C4×C43C2411yescharacteristic
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
581C22⋊C4×C43—21no—
582C22⋊C4×C43—21no—
583C22⋊C4×C43—21no—
584C22⋊C4×C43C2×D411yescharacteristic
585C22⋊C4×C43C2×D411yescharacteristic
586C42×C43—21no—
587C42×C43—21no—
588C42×C43—21no—
589C42×C43C2411yescharacteristic
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596C22⋊Dic43—21no—
597C22⋊Dic43—21no—
598C22⋊Dic43—21no—
599C22⋊Dic43C2×D411yescharacteristic
600C22⋊Dic43C2×D411yescharacteristic
601#10621883—22no—
602#10621882—22no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4C2×D411yescharacteristic
619(C2×D43)⋊C4C2×D411yescharacteristic
620(C2×D43)⋊C4C2×D411yescharacteristic
621(C2×D43)⋊C4C2×D411yescharacteristic
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43C2×D411yescharacteristic
629C4⋊Dic43C2411yescharacteristic
630C4⋊Dic43C2411yescharacteristic
631C4⋊Dic43C2411yescharacteristic
632C4⋊Dic43C2411yescharacteristic
633C4⋊Dic43C2411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43C2×D411yescharacteristic
665C4×Dic43C2×D411yescharacteristic
666C4×Dic43C2411yescharacteristic
667#10621877—22no—
668C2×C43⋊C8—22no—
669C2×C43⋊C8C2411yescharacteristic
670C2×C43⋊C8C2411yescharacteristic
671C2×C43⋊C8C2411yescharacteristic
672C2×C43⋊C8C2411yescharacteristic
673#10621873—22no—
674#10621872—22no—
675#10621872—22no—
676#10621872—22no—
677#10621872#4114yescomplemented
678C8×D43—22no—
679C8×D43—22no—
680C8×D43—22no—
681C8×D43—22no—
682C23×C43—21no—
683C23×C43—21no—
684C23×C43C22×D411yescharacteristic
685C23×C43C22×D411yescharacteristic
686C22×D43—21no—
687C22×D43—42no—
688C22×D43—81no—
689C22×D43—81no—
690C22×D43C22×D411yescharacteristic
691C22×D43C22×D411yescharacteristic
692C22×D43C22×D411yescharacteristic
693Q8×C43—81no—
694D4×C43—21no—
695D4×C43—21no—
696D4×C43—21no—
697D4×C43—21no—
698D4×C43—41no—
699D4×C43—81no—
700D4×C43—81no—
701D4×C43—81no—
702D4×C43—81no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—42no—
714C2×C4×C43—81no—
715C2×C4×C43—81no—
716C2×C4×C43C22×D411yescharacteristic
717C2×C4×C43C22×D411yescharacteristic
718C2×C4×C43C22×D411yescharacteristic
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C2511yescharacteristic
721C22⋊D43—22no—
722C22⋊D43—22no—
723C22⋊D43—22no—
724C22⋊D43—22no—
725C22⋊D43—22no—
726C22⋊D43—22no—
727C22⋊D43—42no—
728C22⋊D43—42no—
729C22⋊D43—81no—
730C22⋊D43—81no—
731C22⋊D43—81no—
732C22⋊D43—81no—
733C22⋊D43—81no—
734C22⋊D43—81no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—42no—
743C2×Dic43—42no—
744C2×Dic43—42no—
745C2×Dic43—81no—
746C2×Dic43—81no—
747C2×Dic43—81no—
748C2×Dic43C22×D411yescharacteristic
749C2×Dic43C22×D411yescharacteristic
750C2×Dic43C22×D411yescharacteristic
751C2×Dic43C22×D411yescharacteristic
752C2×Dic43C22×D411yescharacteristic
753D172—22no—
754D172—22no—
755D172—21no—
756D172—21no—
757D172—41no—
758D172—81no—
759D172—81no—
760C4×D43—21no—
761C4×D43—21no—
762C4×D43—21no—
763C4×D43—21no—
764C4×D43—22no—
765C4×D43—41no—
766C4×D43—42no—
767C4×D43—81no—
768C4×D43—81no—
769C4×D43—81no—
770C4×D43—81no—
771C4×D43—81no—
772C4×D43—81no—
773C4×D43—81no—
774C4×D43—81no—
775C4×D43C2×#4112yes—
776C4×D432−1+412yes—
777Dic86—22no—
778Dic86—22no—
779Dic86—21no—
780Dic86—21no—
781Dic86—42no—
782Dic86—42no—
783Dic86—42no—
784Dic86—81no—
785Dic86—81no—
786C8×C43—21no—
787C8×C43—21no—
788C8×C43—21no—
789C8×C43C2×#4112yes—
790C43⋊C8—21no—
791C43⋊C8—21no—
792C43⋊C8—21no—
793C43⋊C8C2×#4112yes—
794#61278—431nomaximal, Sylow
795C22×C43—21no—
796C22×C43—21no—
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—21no—
801C22×C43—41no—
802C22×C43—41no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43—41no—
807C22×C43C23×D411yescharacteristic
808C2×D43—21no—
809C2×D43—21no—
810C2×D43—21no—
811C2×D43—21no—
812C2×D43—21no—
813C2×D43—21no—
814C2×D43—21no—
815C2×D43—21no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—84no—
820C2×D43#54712yes—
821C4×C43—21no—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—41no—
826C4×C43—41no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43—41no—
830C4×C43—41no—
831C4×C43C22×#4111yescharacteristic
832C4×C43C2×2−1+411yescharacteristic
833Dic43—21no—
834Dic43—21no—
835Dic43—21no—
836Dic43—41no—
837Dic43—41no—
838Dic43—41no—
839Dic43—41no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43#54712yes—
844Dic43#57612yes—
845#3511—431no—
846#3506—431no—
847#3354—431no—
848#3354—431no—
849#3353—431no—
850#3353—431no—
851#3347—431no—
852#3347—431no—
853#3347—431no—
854#3347D4311yescharacteristic, complemented
855#3346—431no—
856#3346—431no—
857#3346—431no—
858#3346—431no—
859#3340—431no—
860#3340—431no—
861#3334—431no—
862#3334—431no—
863#3165—431no—
864#3098—431no—
865#3098—431no—
866#3096—431no—
867#3096—431no—
868#3076—431no—
869C2×#474—431no—
870#3062—431no—
871#3062—431no—
872C4×AGL(1,ℤ/8)—431no—
873#2935—431no—
874#2913—431no—
875#2913—431no—
876C2×C43—41no—
877C2×C43—41no—
878C2×C43—81no—
879C2×C43—81no—
880C2×C43C2×#54711yescharacteristic
881C2×C43C2×#57611yescharacteristic
882C2×C43#358611yescharacteristic
883D43—22no—
884D43—41no—
885D43—41no—
886D43—81no—
887C2×AGL(1,ℤ/8)—431no—
888C2×#131—431no—
889C2×#131—431no—
890#559—861no—
891#559—861no—
892#556—431no—
893#556—431no—
894#556—861no—
895#555—431no—
896#555—431no—
897#555—431no—
898#555C2×D4311yescharacteristic, complemented
899#554—431no—
900#554—431no—
901#553—431no—
902#553—431no—
903#553—431no—
904#553—861no—
905#553—861no—
906#553C2×D4311yescharacteristic
907#550—861no—
908#548—861no—
909#548—861no—
910#547—431no—
911#547—431no—
912#547—431no—
913#547—431no—
914#542—861no—
915#542—861no—
916#538—861no—
917#538—861no—
918#537—431no—
919#537—431no—
920#535—431no—
921#535—431no—
922#533—431no—
923#533—861no—
924#532—431no—
925#532—861no—
926C2×C4⋊Q8—431no—
927#525—861no—
928#525—861no—
929#520—431no—
930#520—431no—
931#520—431no—
932#520—431no—
933C4×#41—431no—
934C2×C4×D4—431no—
935#501—431no—
936#501—431no—
937#501—431no—
938#501C2×D4311yescharacteristic, complemented
939#500—431no—
940#500—431no—
941#498—431no—
942#498—431no—
943#485—431no—
944#485—431no—
945#485—431no—
946#485—431no—
947#484—431no—
948#484—431no—
949#484—431no—
950#484—431no—
951#482—431no—
952#482—431no—
953#482—431no—
954#482—431no—
955#482—431no—
956#482—431no—
957#482—431no—
958#482—431no—
959#482—431no—
960#482C2×D4311yescharacteristic
961#482C2×D4311yescharacteristic
962#482C2×D4311yescharacteristic, complemented
963#481—431no—
964#481—431no—
965#481—431no—
966#481—431no—
967#480—431no—
968#480—431no—
969#480—431no—
970#480—431no—
971#480—431no—
972#480—431no—
973#480—431no—
974#480C2×D4311yescharacteristic, complemented
975#479—431no—
976#479—431no—
977#478—431no—
978#478C2×D4311yescharacteristic, complemented
979#477—431no—
980#476—431no—
981#475—431no—
982#474—431no—
983#474—431no—
984#474—431no—
985#474—431no—
986#474—431no—
987#474—431no—
988#474—431no—
989#474—431no—
990#474C2×D4311yescharacteristic
991#469—431no—
992#469—431no—
993#469—431no—
994#469C2×D4311yescharacteristic
995#468—431no—
996#468—431no—
997#468—431no—
998#468—431no—
999#466—431no—
1000#466—431no—
1001#466—431no—
1002#466C2×D4311yescharacteristic
1003#465—431no—
1004#465—431no—
1005#465—431no—
1006#465—431no—
1007#442—431no—
1008#442C2×D4311yescharacteristic
1009#440—431no—
1010#440—431no—
1011C4×SD16—431no—
1012C4×SD16—431no—
1013C4×D8—431no—
1014C4×D8—431no—
1015#436—431no—
1016#436—431no—
1017#435—431no—
1018#435—431no—
1019#435—431no—
1020#435C2×D4311yescharacteristic, complemented
1021C8×D4—431no—
1022C8×D4—431no—
1023#428—431no—
1024#428—431no—
1025#428—431no—
1026#428—431no—
1027#428—431no—
1028#428—431no—
1029#428—431no—
1030#428—431no—
1031#428—431no—
1032#428—431no—
1033#428—431no—
1034#428—431no—
1035#428C2×D4311yescharacteristic, complemented
1036#427—431no—
1037#427—431no—
1038#427—431no—
1039#427—431no—
1040#427—431no—
1041#427C2×D4311yescharacteristic, complemented
1042C2×#107—431no—
1043C2×#107—431no—
1044C2×#107—431no—
1045C2×#107—431no—
1046C2×#107—431no—
1047C2×#107—431no—
1048C2×C4⋊C8—431no—
1049#418—431no—
1050#417—431no—
1051#416—431no—
1052#416—431no—
1053C2×#102—431no—
1054C2×#102—431no—
1055#408—431no—
1056#408—431no—
1057C4×M16—431no—
1058C43#6127811yescharacteristic, complemented, Sylow
1059C2×#41—431no—
1060C2×#41—431no—
1061C2×#41—431no—
1062C2×#41—861no—
1063C2×#41—861no—
1064C2×#41—861no—
1065C2×#41—861no—
1066C22×Q8—861no—
1067C22×D4—431no—
1068C23×C4—861no—
1069AGL(1,ℤ/8)—864no—
1070C2×SD16—431no—
1071C2×SD16—431no—
1072C2×D8—431no—
1073C2×D8C22×D4311yescharacteristic
1074#131—864no—
1075#131—864no—
1076C2×M16—431no—
1077C2×M16—431no—
1078C2×M16—431no—
1079C2×M16—431no—
1080C2×M16—431no—
1081C2×M16C22×D4311yescharacteristic
1082C22×C8—431no—
1083C22×C8—431no—
1084C22×C8—431no—
1085C22×C8—431no—
1086C22×C8—431no—
1087C22×C8C22×D4311yescharacteristic
1088C4⋊Q8—431no—
1089C4⋊Q8—431no—
1090C4⋊Q8—431no—
1091C4⋊Q8—431no—
1092C4⋊Q8—431no—
1093C4⋊Q8—431no—
1094C4⋊Q8—861no—
1095C4⋊Q8—861no—
1096C4⋊Q8C22×D4311yescharacteristic
1097#127—431no—
1098#127—861no—
1099#127—861no—
1100#126—21no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#125—431no—
1109#125—861no—
1110#125—861no—
1111#125C22×D4311yescharacteristic
1112#124—21no—
1113#124—21no—
1114#124—431no—
1115#124—431no—
1116#124—861no—
1117#124—861no—
1118#124—861no—
1119#124—861no—
1120#124—861no—
1121#124—861no—
1122#124—861no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#123—21no—
1127#123—861no—
1128#123—861no—
1129#123—861no—
1130#123—861no—
1131#123—861no—
1132#123—861no—
1133#123—861no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138C22⋊Q8—431no—
1139C22⋊Q8—431no—
1140C22⋊Q8—431no—
1141C22⋊Q8—431no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145C22⋊Q8—861no—
1146C22⋊Q8—861no—
1147C22⋊Q8—861no—
1148C22⋊Q8—861no—
1149C22⋊Q8—861no—
1150C22⋊Q8—861no—
1151C22⋊Q8—861no—
1152C22⋊Q8—861no—
1153C22⋊Q8—861no—
1154#121—21no—
1155#121—21no—
1156#121—431no—
1157#121—431no—
1158#121—431no—
1159#121—431no—
1160#121—431no—
1161#121—431no—
1162#121—431no—
1163#121—431no—
1164#121—431no—
1165#121—431no—
1166#121—431no—
1167#121—431no—
1168#121—861no—
1169#121—861no—
1170#121—861no—
1171#121—861no—
1172#121—861no—
1173#121—861no—
1174#121—861no—
1175#121—861no—
1176#121—861no—
1177#121—861no—
1178#121—861no—
1179#121—861no—
1180#121C22×D4311yescharacteristic
1181#121C22×D4311yescharacteristic
1182#121C22×D4311yescharacteristic
1183#121C22×D4311yescharacteristic
1184#120—861no—
1185#120—861no—
1186#120—861no—
1187#120—861no—
1188C4×Q8—431no—
1189C4×Q8—431no—
1190C4×Q8—861no—
1191C4×Q8—861no—
1192C4×Q8—861no—
1193C4×Q8—861no—
1194C4×Q8—861no—
1195C4×Q8—861no—
1196C4×Q8—861no—
1197C4×Q8—861no—
1198C4×D4—21no—
1199C4×D4—431no—
1200C4×D4—431no—
1201C4×D4—431no—
1202C4×D4—431no—
1203C4×D4—431no—
1204C4×D4—431no—
1205C4×D4—431no—
1206C4×D4—861no—
1207C4×D4—861no—
1208C4×D4—861no—
1209C4×D4—861no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4—861no—
1215C4×D4—861no—
1216C4×D4—861no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4C22×D4311yescharacteristic
1228C4×D4C22×D4311yescharacteristic
1229C4×D4C22×D4311yescharacteristic
1230#117—21no—
1231#117—431no—
1232#117—431no—
1233#117—431no—
1234#117—431no—
1235#117—431no—
1236#117—431no—
1237#117—431no—
1238#117—431no—
1239#117—861no—
1240#117—861no—
1241#117—861no—
1242#117—861no—
1243#117C22×D4311yescharacteristic
1244#117C22×D4311yescharacteristic
1245#117C22×D4311yescharacteristic
1246C2×C4⋊C4—431no—
1247C2×C4⋊C4—431no—
1248C2×C4⋊C4—431no—
1249C2×C4⋊C4—431no—
1250C2×C4⋊C4—431no—
1251C2×C4⋊C4—431no—
1252C2×C4⋊C4—431no—
1253C2×C4⋊C4—431no—
1254C2×C4⋊C4—431no—
1255C2×C4⋊C4—431no—
1256C2×C4⋊C4—861no—
1257C2×C4⋊C4C22×D4311yescharacteristic
1258C2×C22⋊C4—861no—
1259C2×C42—431no—
1260C2×C42—861no—
1261#107—431no—
1262#107—431no—
1263#107—431no—
1264#107—431no—
1265#107—431no—
1266#107—431no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107—431no—
1274#107—431no—
1275#107—431no—
1276#107—431no—
1277#107—431no—
1278#107C22×D4311yescharacteristic
1279#107C22×D4311yescharacteristic
1280#107C22×D4311yescharacteristic
1281#107C22×D4311yescharacteristic
1282#107C22×D4311yescharacteristic
1283#106—431no—
1284#106—431no—
1285#106—431no—
1286#106—431no—
1287#106—431no—
1288#106—431no—
1289#106—431no—
1290#106—431no—
1291#106—431no—
1292#106—431no—
1293#106C22×D4311yescharacteristic
1294#106C22×D4311yescharacteristic
1295#106C22×D4311yescharacteristic
1296#106C22×D4311yescharacteristic
1297C4⋊C8—431no—
1298C4⋊C8—431no—
1299C4⋊C8—431no—
1300C4⋊C8C22×D4311yescharacteristic
1301#103—431no—
1302#103—431no—
1303#103—431no—
1304#103—431no—
1305#103—431no—
1306#103—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102—431no—
1317#102—431no—
1318#102—431no—
1319#102C22×D4311yescharacteristic
1320#102C22×D4311yescharacteristic
1321#102C22×D4311yescharacteristic
1322#102C22×D4311yescharacteristic
1323#102C22×D4311yescharacteristic
1324#102C22×D4311yescharacteristic
1325C22⋊C8—431no—
1326C22⋊C8—431no—
1327C22⋊C8—431no—
1328C22⋊C8—431no—
1329C22⋊C8—431no—
1330C22⋊C8—431no—
1331C22⋊C8C22×D4311yescharacteristic
1332C22⋊C8C22×D4311yescharacteristic
1333#97—431no—
1334#97C22×D4311yescharacteristic
1335C4×C8—431no—
1336C4×C8—431no—
1337C24—861no—
1338#41—862no—
1339#41—862no—
1340#41—862no—
1341#41—862no—
1342#41—862no—
1343#41—862no—
1344#41—3442no—
1345#41—3442no—
1346#41—3442no—
1347#41—3442no—
1348C2×Q8—21no—
1349C2×Q8—431no—
1350C2×Q8—431no—
1351C2×Q8—431no—
1352C2×Q8—861no—
1353C2×Q8—861no—
1354C2×Q8—861no—
1355C2×Q8—861no—
1356C2×Q8—861no—
1357C2×Q8—3442no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—431no—
1363C2×D4—431no—
1364C2×D4—431no—
1365C2×D4—431no—
1366C2×D4—431no—
1367C2×D4—431no—
1368C2×D4—431no—
1369C2×D4—431no—
1370C2×D4—431no—
1371C2×D4—431no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—862no—
1375C2×D4—862no—
1376C2×D4—861no—
1377C2×D4—861no—
1378C2×D4—861no—
1379C2×D4—861no—
1380C2×D4—861no—
1381C2×D4—861no—
1382C2×D4—861no—
1383C2×D4—861no—
1384C2×D4D4×D4311yescharacteristic
1385C2×D4C23×D4311yescharacteristic
1386C2×D4C23×D4311yescharacteristic
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—431no—
1391C22×C4—431no—
1392C22×C4—431no—
1393C22×C4—431no—
1394C22×C4—431no—
1395C22×C4—861no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4—861no—
1403C22×C4—861no—
1404C22×C4—861no—
1405C22×C4—861no—
1406C22×C4—861no—
1407C22×C4—861no—
1408C22×C4—861no—
1409C22×C4—861no—
1410C22×C4—3442no—
1411C22×C4C23×D4311yescharacteristic
1412C22×C4C23×D4311yescharacteristic
1413SD16—862no—
1414SD16—862no—
1415D8—22no—
1416D8—862no—
1417M16—22no—
1418M16—434no—
1419M16—862no—
1420M16—862no—
1421M16—862no—
1422M16—862no—
1423C2×C8—22no—
1424C2×C8—431no—
1425C2×C8—431no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—862no—
1429C2×C8—862no—
1430C2×C8—862no—
1431C2×C8—862no—
1432C2×C8—862no—
1433C2×C8C23×D4311yescharacteristic
1434C2×C8C23×D4311yescharacteristic
1435C2×C8C23×D4311yescharacteristic
1436C2×C8C23×D4311yescharacteristic
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—431no—
1442C4⋊C4—431no—
1443C4⋊C4—431no—
1444C4⋊C4—431no—
1445C4⋊C4—431no—
1446C4⋊C4—431no—
1447C4⋊C4—431no—
1448C4⋊C4—431no—
1449C4⋊C4—431no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4D4×D4311yescharacteristic
1474C4⋊C4C23×D4311yescharacteristic
1475C4⋊C4C23×D4311yescharacteristic
1476C4⋊C4C23×D4311yescharacteristic
1477C4⋊C4C23×D4311yescharacteristic
1478C4⋊C4C23×D4311yescharacteristic
1479C4⋊C4C23×D4311yescharacteristic
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—431no—
1490C22⋊C4—431no—
1491C22⋊C4—431no—
1492C22⋊C4—431no—
1493C22⋊C4—431no—
1494C22⋊C4—431no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4D4×D4311yescharacteristic
1520C22⋊C4D4×D4311yescharacteristic
1521C42—21no—
1522C42—21no—
1523C42—21no—
1524C42—431no—
1525C42—431no—
1526C42—431no—
1527C42—861no—
1528C42—861no—
1529C42—861no—
1530C42—861no—
1531C42—861no—
1532C42—861no—
1533C42—861no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42C23×D4311yescharacteristic
1538C23—21no—
1539C23—21no—
1540C23—431no—
1541C23—431no—
1542C23—431no—
1543C23—861no—
1544C23—3441no—
1545C23—3441no—
1546C23—1722no—
1547C23C2×D4×D4311yescharacteristic
1548C23C2×D4×D4311yescharacteristic
1549Q8—81no—
1550Q8—862no—
1551Q8—862no—
1552Q8—861no—
1553Q8—861no—
1554Q8—3441no—
1555Q8—3441no—
1556Q8—1722no—
1557Q8—1722no—
1558Q8—1722no—
1559D4—21no—
1560D4—21no—
1561D4—21no—
1562D4—21no—
1563D4—41no—
1564D4—81no—
1565D4—81no—
1566D4—81no—
1567D4—81no—
1568D4—862no—
1569D4—862no—
1570D4—862no—
1571D4—862no—
1572D4—862no—
1573D4—862no—
1574D4—862no—
1575D4—862no—
1576D4—861no—
1577D4—861no—
1578D4—3441no—
1579D4—3441no—
1580D4—3441no—
1581D4—3441no—
1582D4—3441no—
1583D4—3441no—
1584D4—3441no—
1585D4—3441no—
1586D4—1721no—
1587D4—1722no—
1588D4—1722no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—42no—
1600C2×C4—81no—
1601C2×C4—81no—
1602C2×C4—431no—
1603C2×C4—431no—
1604C2×C4—432no—
1605C2×C4—432no—
1606C2×C4—431no—
1607C2×C4—431no—
1608C2×C4—431no—
1609C2×C4—862no—
1610C2×C4—861no—
1611C2×C4—861no—
1612C2×C4—861no—
1613C2×C4—861no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—3441no—
1622C2×C4—3441no—
1623C2×C4—3441no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—3441no—
1631C2×C4—3441no—
1632C2×C4—1721no—
1633C2×C4—1722no—
1634C2×C4—1722no—
1635C2×C4—1722no—
1636C2×C4—1722no—
1637C2×C4C2×D4×D4311yescharacteristic
1638C2×C4C2×D4×D4311yescharacteristic
1639C2×C4C2×D4×D4311yescharacteristic
1640C2×C4C2×D4×D4311yescharacteristic
1641C2×C4C24×D4311yescharacteristic
1642C8—21no—
1643C8—21no—
1644C8—21no—
1645C8—432no—
1646C8—861no—
1647C8—861no—
1648C8—861no—
1649C8#41×D4312yes—
1650C22—21no—
1651C22—21no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—432no—
1663C22—861no—
1664C22—861no—
1665C22—861no—
1666C22—861no—
1667C22—861no—
1668C22—861no—
1669C22—861no—
1670C22—861no—
1671C22—3444no—
1672C22—1721no—
1673C22—1721no—
1674C22—1721no—
1675C22C22×D4×D4311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—432no—
1687C4—432no—
1688C4—861no—
1689C4—861no—
1690C4—861no—
1691C4—1721no—
1692C4—1721no—
1693C4—1721no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4C2×#41×D4311yescharacteristic
1699C42−1+4×D4311yescharacteristic
1700C2—41no—
1701C2—41no—
1702C2—81no—
1703C2—81no—
1704C2—862no—
1705C2—3441no—
1706C2—1721no—
1707C2—1721no—
1708C2#547×D4311yescharacteristic
1709C2#576×D4311yescharacteristic
1710C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3347C2
socleC22×C43C23×D4
hypercenter#3347D43
hypocenterC43#61278
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3347

Complements

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

NH ≅ G/Ntype
1. #19148495C2semidirect
2. #19148441C2semidirect
3. #19147188C2semidirect
4. #19147185C2semidirect
5. #19147177C2semidirect
6. #19147175C2semidirect
7. #19147100C2semidirect
8. #19147095C2semidirect
9. #19147092C2semidirect
10. #19147082C2semidirect
11. #19147080C2semidirect
12. #19147079C2semidirect
13. #19147077C2semidirect
14. #19147006C2semidirect
15. #19147004C2semidirect
16. #19146939C2semidirect
17. #19146937C2semidirect
18. #19145140C2semidirect
19. #19144570C2semidirect
20. #19144568C2semidirect
21. #19144550C2semidirect
22. #19144548C2semidirect
23. #19144380C2semidirect
24. #474×D43C2semidirect
25. #19144274C2semidirect
26. #19144272C2semidirect
27. #19143406C2semidirect
28. #19143336C2semidirect
29. #19143194C2semidirect
30. #19143192C2semidirect
31. C43×#3347C2semidirect
37. #14583617C22semidirect
38. #14583617C22semidirect
40. #14583614C22semidirect
43. #14583610C22semidirect
44. #14583606C22semidirect
55. #14583549C22semidirect
56. #14583549C22semidirect
78. #14583309C22semidirect
79. #14583308C22semidirect
80. #14583305C22semidirect
81. #14583303C22semidirect
82. #14583303C22semidirect
83. #14583296C22semidirect
84. #14583296C22semidirect
85. #14583243C22semidirect
86. #14583242C22semidirect
87. #14583241C22semidirect
88. #14583240C22semidirect
89. #14583236C22semidirect
90. #14583236C22semidirect
91. #14583235C22semidirect
92. #14583234C22semidirect
98. #14583222C22semidirect
100. #14583221C22semidirect
101. #14583220C22semidirect
109. #14583211C22semidirect
110. #14583211C22semidirect
112. #14583210C22semidirect
113. #14583207C22semidirect
114. #14583203C22semidirect
115. #14583199C22semidirect
116. #14583193C22semidirect
117. #14583187C22semidirect
118. #14583183C22semidirect
125. #14583177C22semidirect
148. #14582975C22semidirect
149. #14582974C22semidirect
150. #14582972C22semidirect
151. #14582971C22semidirect
152. #14582969C22semidirect
153. C8×C22⋊D43C22semidirect
154. (C22⋊D43)⋊C8C22semidirect
155. #14582942C22semidirect
156. #14582942C22semidirect
157. #14582941C22semidirect
160. #14582940C22semidirect
164. #14582938C22semidirect
165. #14582938C22semidirect
166. #14582938C22semidirect
168. #14582936C22semidirect
169. #14582935C22semidirect
171. #14582934C22semidirect
172. C2×#13063259C22semidirect
173. C2×#13063258C22semidirect
176. #107×D43C22semidirect
177. #107×D43C22semidirect
188. C43×#555C22semidirect
190. C43×#501C22semidirect
193. C43×#482C22semidirect
194. C43×#480C22semidirect
195. C43×#478C22semidirect
200. C43×#435C22semidirect
201. C43×#428C22semidirect
202. C43×#427C22semidirect
677. #10621872#41semidirect
854. #3347D43semidirect
898. #555C2×D43semidirect
938. #501C2×D43semidirect
962. #482C2×D43semidirect
974. #480C2×D43semidirect
978. #478C2×D43semidirect
1020. #435C2×D43semidirect
1035. #428C2×D43semidirect
1041. #427C2×D43semidirect
1058. C43#61278semidirect

Maximal subgroups

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

subgroupindex
#191484952
#191484412
#191471882
#191471852
#191471772
#191471752
#191471002
#191470952
#191470922
#191470822
#191470802
#191470792
#191470772
#191470062
#191470042
#191469392
#191469372
#191451402
#191445702
#191445682
#191445502
#191445482
#191443802
#474×D432
#191442742
#191442722
#191434062
#191433362
#191431942
#191431922
C43×#33472
#6127843