Finite Group Databasebeta

← #25976117

Subgroups — #25976117

Order 11008.

1874 conjugacy classes of subgroups.

The subgroup lattice has 1730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148441C211yesmaximal, characteristic, complemented
2#19148437C211yesmaximal, characteristic, complemented
3#19147102C211yesmaximal, characteristic, complemented
4#19147095C211yesmaximal, characteristic, complemented
5#19147094C211yesmaximal, characteristic, complemented
6#19147093C211yesmaximal, characteristic, complemented
7#19147091C211yesmaximal, characteristic, complemented
8#19147090C211yesmaximal, characteristic, complemented
9#19147088C211yesmaximal, characteristic, complemented
10#19147071C211yesmaximal, characteristic, complemented
11#19147070C211yesmaximal, characteristic, complemented
12#19147069C211yesmaximal, characteristic, complemented
13#19147068C211yesmaximal, characteristic, complemented
14#19147067C211yesmaximal, characteristic, complemented
15#19147066C211yesmaximal, characteristic, complemented
16#19147062C211yesmaximal, characteristic, complemented
17#19147059C211yesmaximal, characteristic, complemented
18#19145116C211yesmaximal, characteristic, complemented
19#19144550C211yesmaximal, characteristic, complemented
20#19144548C211yesmaximal, characteristic, complemented
21#19144548C211yesmaximal, characteristic, complemented
22#19144546C211yesmaximal, characteristic, complemented
23#19144390C211yesmaximal, characteristic, complemented
24#19144387C211yesmaximal, characteristic, complemented
25#19144241C211yesmaximal, characteristic, complemented
26#19144238C211yesmaximal, characteristic, complemented
27#442×D43C211yesmaximal, characteristic, complemented
28#19143309C211yesmaximal, characteristic, complemented
29#19143189C211yesmaximal, characteristic, complemented
30#19143187C211yesmaximal, characteristic, complemented
31C43×#3347C211yesmaximal, characteristic, complemented
32C2×D8×D43C2211yescharacteristic
33C2×#13063333C2211yescharacteristic
34C2×#13063331C2211yescharacteristic
35#14583633—21no—
36#14583632—21no—
37#14583631—21no—
38#14583631—21no—
39#14583617—21no—
40#14583616—21no—
41#14583615C2211yescharacteristic, complemented
42#14583613C2211yescharacteristic, complemented
43#14583612C2211yescharacteristic, complemented
44#14583602C2211yescharacteristic, complemented
45#14583601C2211yescharacteristic, complemented
46#14583601C2211yescharacteristic, complemented
47#14583599C2211yescharacteristic, complemented
48#14583595C2211yescharacteristic, complemented
49#14583593C2211yescharacteristic, complemented
50#14583593C2211yescharacteristic, complemented
51#14583567—21no—
52#14583567—21no—
53#14583554C2211yescharacteristic, complemented
54#14583553C2211yescharacteristic, complemented
55#14583550C2211yescharacteristic, complemented
56#14583549C2211yescharacteristic, complemented
57#14583488—21no—
58#14583483—21no—
59#14583483—21no—
60#14583481—21no—
61#14583465C2211yescharacteristic
62#14583465C2211yescharacteristic
63#14583465C2211yescharacteristic
64#14583465C2211yescharacteristic
65#14583455C2211yescharacteristic
66#14583454C2211yescharacteristic
67#14583446C2211yescharacteristic
68#14583411—21no—
69#14583409—21no—
70#14583408—21no—
71#14583407—21no—
72#14583380C2211yescharacteristic
73#14583379C2211yescharacteristic
74#14583379C2211yescharacteristic
75#14583379C2211yescharacteristic
76C4×D4×D43C2211yescharacteristic
77C4×D4×D43C2211yescharacteristic
78#14583309C2211yescharacteristic, complemented
79#14583308C2211yescharacteristic, complemented
80#14583307C2211yescharacteristic, complemented
81#14583307C2211yescharacteristic, complemented
82#14583306C2211yescharacteristic, complemented
83#14583306C2211yescharacteristic, complemented
84#14583305C2211yescharacteristic, complemented
85#14583226C2211yescharacteristic, complemented
86#14583226C2211yescharacteristic, complemented
87#14583225C2211yescharacteristic, complemented
88#14583225C2211yescharacteristic, complemented
89#14583224C2211yescharacteristic, complemented
90#14583223C2211yescharacteristic, complemented
91#14583223C2211yescharacteristic, complemented
92#14583223C2211yescharacteristic, complemented
93#14583222C2211yescharacteristic, complemented
94#14583222C2211yescharacteristic, complemented
95#14583221C2211yescharacteristic, complemented
96#14583221C2211yescharacteristic, complemented
97#14583220C2211yescharacteristic, complemented
98#14583219C2211yescharacteristic, complemented
99#14583218C2211yescharacteristic, complemented
100#14583218C2211yescharacteristic, complemented
101#14583217C2211yescharacteristic, complemented
102#14583216C2211yescharacteristic, complemented
103#14583216C2211yescharacteristic, complemented
104#14583216C2211yescharacteristic, complemented
105#14583215C2211yescharacteristic, complemented
106#14583214C2211yescharacteristic, complemented
107#14583214C2211yescharacteristic, complemented
108#14583214C2211yescharacteristic, complemented
109#14583213C2211yescharacteristic, complemented
110#14583211C2211yescharacteristic, complemented
111#14583210C2211yescharacteristic, complemented
112#14583210C2211yescharacteristic, complemented
113#14583202C2211yescharacteristic, complemented
114#14583202C2211yescharacteristic, complemented
115#14583201C2211yescharacteristic, complemented
116#14583201C2211yescharacteristic, complemented
117#14583200C2211yescharacteristic, complemented
118#14583199C2211yescharacteristic, complemented
119#14583196C2211yescharacteristic, complemented
120#14583190C2211yescharacteristic, complemented
121#14583189C2211yescharacteristic, complemented
122#14583188C2211yescharacteristic, complemented
123#14583187C2211yescharacteristic, complemented
124#14583178C2211yescharacteristic, complemented
125#14583177C2211yescharacteristic, complemented
126#14583176C2211yescharacteristic, complemented
127#14583153C2211yescharacteristic
128#14583152C2211yescharacteristic
129#14583151C2211yescharacteristic
130#14583151C2211yescharacteristic
131#14583150C2211yescharacteristic
132#14583150C2211yescharacteristic
133#14583149C2211yescharacteristic
134#14583136C2211yescharacteristic
135#14583135C2211yescharacteristic
136#14583134C2211yescharacteristic
137#14583134C2211yescharacteristic
138#14583133C2211yescharacteristic
139#14583133C2211yescharacteristic
140#14583132C2211yescharacteristic
141#14583012C2211yescharacteristic
142#14583011C2211yescharacteristic
143#14583010C2211yescharacteristic
144#14583009C2211yescharacteristic
145#14583009C2211yescharacteristic
146#14583008C2211yescharacteristic
147#14583008C2211yescharacteristic
148#14582973C2211yescharacteristic, complemented
149#14582972C2211yescharacteristic, complemented
150#14582971C2211yescharacteristic, complemented
151#14582970C2211yescharacteristic, complemented
152#14582969C2211yescharacteristic, complemented
153#14582968C2211yescharacteristic, complemented
154#14582967C2211yescharacteristic, complemented
155#14582942C2211yescharacteristic, complemented
156#14582942C2211yescharacteristic, complemented
157#14582941C2211yescharacteristic, complemented
158#14582940C2211yescharacteristic
159#14582940C2211yescharacteristic
160#14582940C2211yescharacteristic
161#14582940C2211yescharacteristic, complemented
162#14582940C2211yescharacteristic, complemented
163#14582940C2211yescharacteristic, complemented
164#14582938C2211yescharacteristic
165#14582938C2211yescharacteristic, complemented
166#14582936C2211yescharacteristic
167#14582936C2211yescharacteristic
168#14582936C2211yescharacteristic, complemented
169#14582935C2211yescharacteristic, complemented
170#14582934C2211yescharacteristic
171#14582934C2211yescharacteristic
172#14582934C2211yescharacteristic, complemented
173C2×#13063257C2211yescharacteristic, complemented
174C2×#13063256C2211yescharacteristic, complemented
175#106×D43C2211yescharacteristic
176#106×D43C2211yescharacteristic, complemented
177#106×D43C2211yescharacteristic, complemented
178#14582921C2211yescharacteristic
179#14582902C2211yescharacteristic
180#14582902C2211yescharacteristic
181#14582902C2211yescharacteristic
182#14582902C2211yescharacteristic
183#102×D43C2211yescharacteristic
184#102×D43C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582864C2211yescharacteristic
187#97×D43C2211yescharacteristic
188C43×#555C2211yescharacteristic, complemented
189C43×#553C2211yescharacteristic, complemented
190C43×#501C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic, complemented
192C43×#482C2211yescharacteristic, complemented
193C43×#482C2211yescharacteristic, complemented
194C43×#480C2211yescharacteristic, complemented
195C43×#478C2211yescharacteristic, complemented
196C43×#474C2211yescharacteristic, complemented
197C43×#469C2211yescharacteristic
198C43×#466C2211yescharacteristic
199C43×#442C2211yescharacteristic
200C43×#435C2211yescharacteristic, complemented
201C43×#428C2211yescharacteristic, complemented
202C43×#427C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621898—21no—
205C2×#10621898C2311yescharacteristic
206C2×#10621898C2311yescharacteristic
207C2×#10621900—21no—
208C2×#10621900—21no—
209C2×D4×D43C2311yescharacteristic
210C2×D4×D43C2311yescharacteristic
211C22×C4×D43—21no—
212C22×C4×D43—21no—
213C2×D344C2311yescharacteristic
214C2×#10621882C2311yescharacteristic
215C2×#10621882C2311yescharacteristic
216D8×D43—24no—
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#13063324D411yescharacteristic
231#13063324C2311yescharacteristic
232#13063324C2311yescharacteristic
233#13063321—21no—
234#13063321—21no—
235#13063321—21no—
236#13063321—21no—
237#13063321D411yescharacteristic
238#13063320—21no—
239#13063320—21no—
240#13063319—21no—
241#13063319—21no—
242#13063318—21no—
243#13063318—21no—
244#13063318—21no—
245#13063317C2311yescharacteristic
246#13063316C2311yescharacteristic
247#13063316C2311yescharacteristic
248#13063314—21no—
249#13063314—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#13063311D411yescharacteristic
259#13063311D411yescharacteristic
260#13063310—21no—
261#13063310—21no—
262#13063309—21no—
263#13063309—21no—
264#13063309—21no—
265#13063309—21no—
266#13063308—21no—
267#13063308—21no—
268#13063307—21no—
269#13063307—21no—
270#13063307—21no—
271#13063307—21no—
272#13063307—21no—
273#13063307—21no—
274#13063306—21no—
275#13063305—21no—
276#13063305—21no—
277#13063304—21no—
278#13063303—21no—
279#13063303—21no—
280#13063303—21no—
281#13063302—21no—
282#13063301—21no—
283#13063300—21no—
284#13063300—21no—
285#13063300D411yescharacteristic
286#13063300C2311yescharacteristic
287#13063300C2311yescharacteristic
288#13063300C2311yescharacteristic
289#13063300C2311yescharacteristic
290#13063299C2311yescharacteristic
291#13063299C2311yescharacteristic
292#13063299C2311yescharacteristic
293#13063299C2311yescharacteristic
294#13063298—21no—
295#13063298—21no—
296#13063298—21no—
297#13063298—21no—
298#13063298D411yescharacteristic
299#13063298D411yescharacteristic
300#13063297—21no—
301#13063297—21no—
302#13063297—21no—
303#13063297—21no—
304#13063296D411yescharacteristic
305#13063296C2311yescharacteristic
306#13063296C2311yescharacteristic
307#13063296C2311yescharacteristic
308#13063296C2311yescharacteristic
309#13063295—21no—
310#13063295—21no—
311#13063295—21no—
312#13063295—21no—
313#13063293—21no—
314#13063293—21no—
315#13063293—21no—
316#13063293—21no—
317Q8×Dic43—21no—
318C4×Dic86—21no—
319C4×Dic86—21no—
320C4×Dic86—21no—
321#13063290—21no—
322#13063290—21no—
323#13063290—21no—
324#13063290—21no—
325C4×D172—21no—
326C4×D172—21no—
327C4×D172—21no—
328C4×D172—21no—
329C4×D172—21no—
330C4×D172C2311yescharacteristic
331C4×D172C2311yescharacteristic
332C4×D172C2311yescharacteristic
333D4×Dic43—21no—
334D4×Dic43—21no—
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337#13063287—21no—
338#13063287—21no—
339#13063287C2311yescharacteristic
340#13063287C2311yescharacteristic
341C4×C22⋊D43—21no—
342C4×C22⋊D43—21no—
343C4×C22⋊D43—21no—
344C4×C22⋊D43—21no—
345C4×C22⋊D43—21no—
346C4×C22⋊D43C2311yescharacteristic
347C4×C22⋊D43C2311yescharacteristic
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(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357#13063284C2311yescharacteristic
358#13063283—21no—
359#13063283C2311yescharacteristic
360#13063283C2311yescharacteristic
361#13063283C2311yescharacteristic
362#13063283C2311yescharacteristic
363#13063283C2311yescharacteristic
364#13063283C2311yescharacteristic
365#13063283C2311yescharacteristic
366#13063283C2311yescharacteristic
367#13063282—21no—
368#13063281—21no—
369C2×C4⋊Dic43C2311yescharacteristic
370C2×C4⋊Dic43C2311yescharacteristic
371C2×C4⋊Dic43C2311yescharacteristic
372C4⋊C4×D43C2311yescharacteristic
373C4⋊C4×D43C2311yescharacteristic
374C4⋊C4×D43C2311yescharacteristic
375C4⋊C4×D43C2311yescharacteristic
376C4⋊C4×D43C2311yescharacteristic
377C4⋊C4×D43C2311yescharacteristic
378C22⋊C4×D43—21no—
379C22⋊C4×D43—21no—
380C42×D43C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063257C2311yescharacteristic
395#13063257C2311yescharacteristic
396#13063257C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063256C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403#13063256C2311yescharacteristic
404#13063256C2311yescharacteristic
405#13063256C2311yescharacteristic
406#13063256C2311yescharacteristic
407#13063256C2311yescharacteristic
408C4⋊(C43⋊C8)C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
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
436#13063235C2311yescharacteristic
437#13063235C2311yescharacteristic
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—
482C23×D43—21no—
483C2×Q8×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43C2×D411yescharacteristic
489C2×D4×C43C2411yescharacteristic
490C2×D4×C43C2411yescharacteristic
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43C2411yescharacteristic
495C22×C4×C43C2411yescharacteristic
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⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43C2×D411yescharacteristic
507C2×C22⋊D43C2×D411yescharacteristic
508C2×C22⋊D43C2×D411yescharacteristic
509C2×C22⋊D43C2×D411yescharacteristic
510C2×C22⋊D43C2×D411yescharacteristic
511C2×C22⋊D43C2×D411yescharacteristic
512C22×Dic43—21no—
513C22×Dic43—21no—
514C22×Dic43—21no—
515C22×Dic43—21no—
516C22×Dic43—21no—
517#10621900—82no—
518#10621900—82no—
519D4×D43—22no—
520D4×D43—22no—
521D4×D43—22no—
522D4×D43—22no—
523#10621898—22no—
524#10621898—22no—
525#10621898—22no—
526#10621898—22no—
527#10621898—82no—
528#10621898—82no—
529C2×D172—21no—
530C2×D172—21no—
531C2×D172—21no—
532C2×D172—21no—
533C2×D172C2×D411yescharacteristic
534C2×D172C2×D411yescharacteristic
535C2×D172C2×D411yescharacteristic
536C2×D172C2411yescharacteristic
537C2×D172C2411yescharacteristic
538C2×C4×D43—21no—
539C2×C4×D43—21no—
540C2×C4×D43—21no—
541C2×C4×D43—21no—
542C2×C4×D43—21no—
543C2×C4×D43—21no—
544C2×C4×D43—21no—
545C2×C4×D43—21no—
546C2×C4×D43—21no—
547C2×C4×D43—21no—
548C2×C4×D43—82no—
549C2×C4×D43—82no—
550C2×C4×D43C2×D411yescharacteristic
551C2×C4×D43C2×D411yescharacteristic
552C2×C4×D43C2411yescharacteristic
553C2×C4×D43C2411yescharacteristic
554C2×C4×D43C2411yescharacteristic
555C2×Dic86—21no—
556C2×Dic86—21no—
557C2×Dic86—21no—
558C2×Dic86C2×D411yescharacteristic
559C2×Dic86C2×D411yescharacteristic
560D8×C43—22no—
561M16×C43—22no—
562C2×C8×C43—22no—
563C2×C8×C43C2411yescharacteristic
564C2×C8×C43C2411yescharacteristic
565C2×C8×C43C2411yescharacteristic
566C2×C8×C43C2411yescharacteristic
567C4⋊C4×C43—21no—
568C4⋊C4×C43—21no—
569C4⋊C4×C43—21no—
570C4⋊C4×C43—21no—
571C4⋊C4×C43C2×D411yescharacteristic
572C4⋊C4×C43C2411yescharacteristic
573C4⋊C4×C43C2411yescharacteristic
574C4⋊C4×C43C2411yescharacteristic
575C4⋊C4×C43C2411yescharacteristic
576C4⋊C4×C43C2411yescharacteristic
577C4⋊C4×C43C2411yescharacteristic
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×C43—21no—
585C22⋊C4×C43—21no—
586C22⋊C4×C43—21no—
587C22⋊C4×C43C2×D411yescharacteristic
588C22⋊C4×C43C2×D411yescharacteristic
589C42×C43—21no—
590C42×C43—21no—
591C42×C43—21no—
592C42×C43C2411yescharacteristic
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596C22⋊Dic43—21no—
597C22⋊Dic43—21no—
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600C22⋊Dic43C2×D411yescharacteristic
601C22⋊Dic43C2×D411yescharacteristic
602#10621882—22no—
603#10621882—22no—
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)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4C2×D411yescharacteristic
625(C2×D43)⋊C4C2×D411yescharacteristic
626(C2×D43)⋊C4C2×D411yescharacteristic
627(C2×D43)⋊C4C2×D411yescharacteristic
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43—21no—
634C4⋊Dic43C2×D411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
636C4⋊Dic43C2411yescharacteristic
637C4⋊Dic43C2411yescharacteristic
638C4⋊Dic43C2411yescharacteristic
639C4⋊Dic43C2411yescharacteristic
640C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
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
673D344—22no—
674#10621872—22no—
675#10621872—22no—
676#10621872—22no—
677#10621872—22no—
678C8×D43—22no—
679C8×D43—22no—
680C8×D43—22no—
681C8×D43#4114yescomplemented
682C23×C43—21no—
683C23×C43—21no—
684C23×C43C22×D411yescharacteristic
685C23×C43C22×D411yescharacteristic
686C22×D43—21no—
687C22×D43—21no—
688C22×D43—42no—
689C22×D43—42no—
690C22×D43—81no—
691C22×D43—81no—
692C22×D43—81no—
693C22×D43—81no—
694C22×D43C22×D411yescharacteristic
695C22×D43C22×D411yescharacteristic
696C22×D43C22×D411yescharacteristic
697Q8×C43—81no—
698D4×C43—21no—
699D4×C43—21no—
700D4×C43—21no—
701D4×C43—21no—
702D4×C43—41no—
703D4×C43—81no—
704D4×C43—81no—
705D4×C43—81no—
706D4×C43—81no—
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—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—42no—
718C2×C4×C43—81no—
719C2×C4×C43—81no—
720C2×C4×C43C22×D411yescharacteristic
721C2×C4×C43C22×D411yescharacteristic
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C22×D411yescharacteristic
724C2×C4×C43C2511yescharacteristic
725C22⋊D43—22no—
726C22⋊D43—22no—
727C22⋊D43—22no—
728C22⋊D43—22no—
729C22⋊D43—41no—
730C22⋊D43—41no—
731C22⋊D43—42no—
732C22⋊D43—42no—
733C22⋊D43—81no—
734C22⋊D43—81no—
735C22⋊D43—81no—
736C22⋊D43—81no—
737C22⋊D43—81no—
738C22⋊D43—81no—
739C22⋊D43—81no—
740C22⋊D43—81no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—42no—
748C2×Dic43—81no—
749C2×Dic43—81no—
750C2×Dic43—81no—
751C2×Dic43—81no—
752C2×Dic43C22×D411yescharacteristic
753C2×Dic43C22×D411yescharacteristic
754C2×Dic43C22×D411yescharacteristic
755C2×Dic43C22×D411yescharacteristic
756C2×Dic43C22×D411yescharacteristic
757D172—22no—
758D172—22no—
759D172—21no—
760D172—21no—
761D172—21no—
762D172—21no—
763D172—41no—
764D172—81no—
765D172—81no—
766D172—81no—
767D172—81no—
768C4×D43—21no—
769C4×D43—21no—
770C4×D43—21no—
771C4×D43—21no—
772C4×D43—41no—
773C4×D43—41no—
774C4×D43—42no—
775C4×D43—42no—
776C4×D43—81no—
777C4×D43—81no—
778C4×D43—81no—
779C4×D43—81no—
780C4×D43—81no—
781C4×D43—81no—
782C4×D43—81no—
783C4×D43—81no—
784C4×D43C2×#4112yes—
785C4×D432−1+412yes—
786Dic86—22no—
787Dic86—22no—
788Dic86—42no—
789Dic86—42no—
790Dic86—81no—
791C8×C43—21no—
792C8×C43—21no—
793C8×C43—21no—
794C8×C43C2×#4112yes—
795C43⋊C8—21no—
796C43⋊C8—21no—
797C43⋊C8—21no—
798C43⋊C8C2×#4112yes—
799#61293—431nomaximal, Sylow
800C22×C43—21no—
801C22×C43—21no—
802C22×C43—21no—
803C22×C43—21no—
804C22×C43—21no—
805C22×C43—21no—
806C22×C43—41no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43—41no—
811C22×C43—41no—
812C22×C43C23×D411yescharacteristic
813C2×D43—21no—
814C2×D43—21no—
815C2×D43—21no—
816C2×D43—21no—
817C2×D43—21no—
818C2×D43—21no—
819C2×D43—21no—
820C2×D43—21no—
821C2×D43—41no—
822C2×D43—41no—
823C2×D43—41no—
824C2×D43—41no—
825C2×D43—41no—
826C2×D43—41no—
827C2×D43—84no—
828C2×D43—84no—
829C2×D43#54712yes—
830C4×C43—21no—
831C4×C43—21no—
832C4×C43—21no—
833C4×C43—21no—
834C4×C43—41no—
835C4×C43—41no—
836C4×C43—41no—
837C4×C43—41no—
838C4×C43—41no—
839C4×C43—41no—
840C4×C43C22×#4111yescharacteristic
841C4×C43C2×2−1+411yescharacteristic
842Dic43—21no—
843Dic43—21no—
844Dic43—21no—
845Dic43—21no—
846Dic43—41no—
847Dic43—41no—
848Dic43—41no—
849Dic43—41no—
850Dic43—41no—
851Dic43—41no—
852Dic43#54712yes—
853#3506—431no—
854#3506—431no—
855#3347—431no—
856#3347—431no—
857#3347—431no—
858#3347—431no—
859#3347—431no—
860#3347—431no—
861#3347—431no—
862#3347D4311yescharacteristic, complemented
863#3345—431no—
864#3345—431no—
865#3345—431no—
866#3345—431no—
867#3345—431no—
868#3345—431no—
869#3345—431no—
870#3345—431no—
871#3162—431no—
872#3096—431no—
873#3096—431no—
874#3096—431no—
875#3096—431no—
876#3077—431no—
877#3077—431no—
878#3058—431no—
879#3058—431no—
880C2×#442—431no—
881#2932—431no—
882#2912—431no—
883#2912—431no—
884C2×C43—41no—
885C2×C43—41no—
886C2×C43—81no—
887C2×C43—81no—
888C2×C43C2×#54711yescharacteristic
889C2×C43#358511yescharacteristic
890C2×C43#358511yescharacteristic
891D43—22no—
892D43—41no—
893D43—41no—
894D43—81no—
895D43—81no—
896C22×D8—431no—
897C2×#131—431no—
898C2×#131—431no—
899#559—861no—
900#559—861no—
901#559—861no—
902#559—861no—
903#556—861no—
904#556—861no—
905#555—431no—
906#555—431no—
907#555—431no—
908#555C2×D4311yescharacteristic, complemented
909#553—431no—
910#553—431no—
911#553—431no—
912#553—431no—
913#553—431no—
914#553—431no—
915#553—431no—
916#553C2×D4311yescharacteristic, complemented
917#550—861no—
918#550—861no—
919#547—431no—
920#547—431no—
921#547—431no—
922#547—431no—
923#538—861no—
924#538—861no—
925#538—861no—
926#538—861no—
927#535—431no—
928#535—431no—
929#535—431no—
930#535—431no—
931#533—431no—
932#533—431no—
933#532—431no—
934#525—861no—
935#525—861no—
936#525—861no—
937#525—861no—
938#520—431no—
939#520—431no—
940#520—431no—
941#520—431no—
942C2×C4×D4—431no—
943C2×C4×D4—431no—
944#501—431no—
945#501—431no—
946#501—431no—
947#501—431no—
948#501—431no—
949#501—431no—
950#501—431no—
951#501C2×D4311yescharacteristic, complemented
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#482—431no—
961#482—431no—
962#482—431no—
963#482—431no—
964#482—431no—
965#482C2×D4311yescharacteristic, complemented
966#482C2×D4311yescharacteristic, complemented
967#482C2×D4311yescharacteristic, complemented
968#481—431no—
969#481—431no—
970#481—431no—
971#481—431no—
972#481—431no—
973#481—431no—
974#481—431no—
975#481—431no—
976#480—431no—
977#480—431no—
978#480—431no—
979#480—431no—
980#480—431no—
981#480—431no—
982#480—431no—
983#480C2×D4311yescharacteristic, complemented
984#478—431no—
985#478—431no—
986#478—431no—
987#478—431no—
988#478—431no—
989#478—431no—
990#478—431no—
991#478C2×D4311yescharacteristic, complemented
992#476—431no—
993#476—431no—
994#476—431no—
995#476—431no—
996#474—431no—
997#474—431no—
998#474—431no—
999#474C2×D4311yescharacteristic, complemented
1000#469—431no—
1001#469—431no—
1002#469—431no—
1003#469—431no—
1004#469—431no—
1005#469—431no—
1006#469—431no—
1007#469C2×D4311yescharacteristic
1008#466—431no—
1009#466—431no—
1010#466—431no—
1011#466—431no—
1012#466—431no—
1013#466—431no—
1014#466—431no—
1015#466C2×D4311yescharacteristic
1016#442—431no—
1017#442—431no—
1018#442—431no—
1019#442—431no—
1020#442—431no—
1021#442—431no—
1022#442—431no—
1023#442C2×D4311yescharacteristic
1024#435—431no—
1025#435—431no—
1026#435—431no—
1027#435—431no—
1028#435—431no—
1029#435—431no—
1030#435—431no—
1031#435C2×D4311yescharacteristic, complemented
1032#428—431no—
1033#428—431no—
1034#428—431no—
1035#428—431no—
1036#428—431no—
1037#428—431no—
1038#428—431no—
1039#428—431no—
1040#428—431no—
1041#428—431no—
1042#428—431no—
1043#428C2×D4311yescharacteristic, complemented
1044#427—431no—
1045#427—431no—
1046#427—431no—
1047#427—431no—
1048#427—431no—
1049#427—431no—
1050#427—431no—
1051#427C2×D4311yescharacteristic, complemented
1052C2×#106—431no—
1053C2×#106—431no—
1054C2×#106—431no—
1055C2×#106—431no—
1056C2×#106—431no—
1057#423—431no—
1058#418—431no—
1059#418—431no—
1060#418—431no—
1061#418—431no—
1062C2×#102—431no—
1063C2×#102—431no—
1064#408—431no—
1065#408—431no—
1066C2×#97—431no—
1067C43#6129311yescharacteristic, complemented, Sylow
1068C2×#41—431no—
1069C2×#41—431no—
1070C2×#41—861no—
1071C2×#41—861no—
1072C2×#41—861no—
1073C2×#41—861no—
1074C22×D4—431no—
1075C22×D4—431no—
1076C23×C4—861no—
1077C23×C4—861no—
1078C2×D8—431no—
1079C2×D8—431no—
1080C2×D8—431no—
1081C2×D8—864no—
1082C2×D8C22×D4311yescharacteristic
1083#131—864no—
1084#131—864no—
1085C2×M16—431no—
1086C2×M16—431no—
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16—431no—
1090C2×M16C22×D4311yescharacteristic
1091C22×C8—431no—
1092C22×C8—431no—
1093C22×C8—431no—
1094C22×C8—431no—
1095C22×C8—431no—
1096C22×C8C22×D4311yescharacteristic
1097C4⋊Q8—431no—
1098C4⋊Q8—431no—
1099C4⋊Q8—431no—
1100C4⋊Q8—431no—
1101C4⋊Q8C22×D4311yescharacteristic
1102#127—431no—
1103#127—861no—
1104#127—861no—
1105#127—861no—
1106#127—861no—
1107#126—21no—
1108#126—861no—
1109#126—861no—
1110#126—861no—
1111#126—861no—
1112#126—861no—
1113#126—861no—
1114#126—861no—
1115#125—431no—
1116#125—431no—
1117#125—431no—
1118#125C22×D4311yescharacteristic
1119#124—21no—
1120#124—21no—
1121#124—431no—
1122#124—431no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#124—861no—
1129#124—861no—
1130#124—861no—
1131#124—861no—
1132#124—861no—
1133#123—21no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149C22⋊Q8—861no—
1150C22⋊Q8—861no—
1151C22⋊Q8—861no—
1152C22⋊Q8—861no—
1153C22⋊Q8—861no—
1154C22⋊Q8—861no—
1155C22⋊Q8—861no—
1156C22⋊Q8—861no—
1157#121—21no—
1158#121—21no—
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—431no—
1169#121—431no—
1170#121—431no—
1171#121—431no—
1172#121—431no—
1173#121—431no—
1174#121—431no—
1175#121—861no—
1176#121—861no—
1177#121—861no—
1178#121—861no—
1179#121—861no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121C22×D4311yescharacteristic
1186#121C22×D4311yescharacteristic
1187#121C22×D4311yescharacteristic
1188#121C22×D4311yescharacteristic
1189#120—861no—
1190#120—861no—
1191#120—861no—
1192#120—861no—
1193#120—861no—
1194#120—861no—
1195#120—861no—
1196#120—861no—
1197C4×Q8—861no—
1198C4×Q8—861no—
1199C4×Q8—861no—
1200C4×Q8—861no—
1201C4×Q8—861no—
1202C4×Q8—861no—
1203C4×Q8—861no—
1204C4×Q8—861no—
1205C4×D4—21no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—431no—
1211C4×D4—431no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
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×D4—861no—
1228C4×D4—861no—
1229C4×D4—861no—
1230C4×D4—861no—
1231C4×D4—861no—
1232C4×D4—861no—
1233C4×D4—861no—
1234C4×D4—861no—
1235C4×D4—861no—
1236C4×D4—861no—
1237C4×D4—861no—
1238C4×D4C22×D4311yescharacteristic
1239C4×D4C22×D4311yescharacteristic
1240C4×D4C22×D4311yescharacteristic
1241#117—21no—
1242#117—431no—
1243#117—431no—
1244#117—431no—
1245#117—431no—
1246#117—431no—
1247#117—431no—
1248#117—431no—
1249#117—431no—
1250#117—431no—
1251#117—861no—
1252#117—861no—
1253#117—861no—
1254#117C22×D4311yescharacteristic
1255#117C22×D4311yescharacteristic
1256#117C22×D4311yescharacteristic
1257C2×C4⋊C4—431no—
1258C2×C4⋊C4—431no—
1259C2×C4⋊C4—431no—
1260C2×C4⋊C4—431no—
1261C2×C4⋊C4—431no—
1262C2×C4⋊C4—431no—
1263C2×C4⋊C4—431no—
1264C2×C4⋊C4—431no—
1265C2×C4⋊C4—431no—
1266C2×C4⋊C4C22×D4311yescharacteristic
1267C2×C22⋊C4—861no—
1268C2×C22⋊C4—861no—
1269C2×C42—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#107—431no—
1279#107—431no—
1280#107—431no—
1281#107C22×D4311yescharacteristic
1282#107C22×D4311yescharacteristic
1283#107C22×D4311yescharacteristic
1284#107C22×D4311yescharacteristic
1285#107C22×D4311yescharacteristic
1286#106—431no—
1287#106—431no—
1288#106—431no—
1289#106—431no—
1290#106—431no—
1291#106—431no—
1292#106—431no—
1293#106—431no—
1294#106—431no—
1295#106—431no—
1296#106—431no—
1297#106—431no—
1298#106—431no—
1299#106—431no—
1300#106—431no—
1301#106—431no—
1302#106C22×D4311yescharacteristic
1303#106C22×D4311yescharacteristic
1304#106C22×D4311yescharacteristic
1305#106C22×D4311yescharacteristic
1306C4⋊C8—431no—
1307C4⋊C8—431no—
1308C4⋊C8—431no—
1309C4⋊C8C22×D4311yescharacteristic
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#102—431no—
1320#102—431no—
1321#102—431no—
1322#102—431no—
1323#102—431no—
1324#102—431no—
1325#102—431no—
1326#102—431no—
1327#102—431no—
1328#102C22×D4311yescharacteristic
1329#102C22×D4311yescharacteristic
1330#102C22×D4311yescharacteristic
1331#102C22×D4311yescharacteristic
1332#102C22×D4311yescharacteristic
1333#102C22×D4311yescharacteristic
1334C22⋊C8—431no—
1335C22⋊C8—431no—
1336C22⋊C8—431no—
1337C22⋊C8—431no—
1338C22⋊C8—431no—
1339C22⋊C8—431no—
1340C22⋊C8C22×D4311yescharacteristic
1341C22⋊C8C22×D4311yescharacteristic
1342#97—431no—
1343#97—431no—
1344#97—431no—
1345#97C22×D4311yescharacteristic
1346C24—861no—
1347C24—861no—
1348#41—862no—
1349#41—862no—
1350#41—862no—
1351#41—862no—
1352#41—3442no—
1353#41—3442no—
1354#41—3442no—
1355#41—3442no—
1356C2×Q8—21no—
1357C2×Q8—431no—
1358C2×Q8—431no—
1359C2×Q8—861no—
1360C2×Q8—861no—
1361C2×Q8—861no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—431no—
1367C2×D4—431no—
1368C2×D4—431no—
1369C2×D4—431no—
1370C2×D4—431no—
1371C2×D4—431no—
1372C2×D4—431no—
1373C2×D4—431no—
1374C2×D4—431no—
1375C2×D4—431no—
1376C2×D4—431no—
1377C2×D4—861no—
1378C2×D4—861no—
1379C2×D4—861no—
1380C2×D4—861no—
1381C2×D4—862no—
1382C2×D4—862no—
1383C2×D4—862no—
1384C2×D4—862no—
1385C2×D4—861no—
1386C2×D4—861no—
1387C2×D4—861no—
1388C2×D4—861no—
1389C2×D4—861no—
1390C2×D4—861no—
1391C2×D4—861no—
1392C2×D4—861no—
1393C2×D4—861no—
1394C2×D4—861no—
1395C2×D4D4×D4311yescharacteristic
1396C2×D4C23×D4311yescharacteristic
1397C2×D4C23×D4311yescharacteristic
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—431no—
1402C22×C4—431no—
1403C22×C4—431no—
1404C22×C4—431no—
1405C22×C4—431no—
1406C22×C4—861no—
1407C22×C4—861no—
1408C22×C4—861no—
1409C22×C4—861no—
1410C22×C4—861no—
1411C22×C4—861no—
1412C22×C4—861no—
1413C22×C4—861no—
1414C22×C4—861no—
1415C22×C4—861no—
1416C22×C4—861no—
1417C22×C4—861no—
1418C22×C4—861no—
1419C22×C4—861no—
1420C22×C4—861no—
1421C22×C4—3442no—
1422C22×C4—3442no—
1423C22×C4C23×D4311yescharacteristic
1424C22×C4C23×D4311yescharacteristic
1425D8—22no—
1426D8—862no—
1427D8—862no—
1428D8—862no—
1429M16—22no—
1430M16—862no—
1431M16—862no—
1432M16—862no—
1433M16—862no—
1434M16—862no—
1435C2×C8—22no—
1436C2×C8—431no—
1437C2×C8—434no—
1438C2×C8—431no—
1439C2×C8—431no—
1440C2×C8—431no—
1441C2×C8—862no—
1442C2×C8—862no—
1443C2×C8—862no—
1444C2×C8—862no—
1445C2×C8C23×D4311yescharacteristic
1446C2×C8C23×D4311yescharacteristic
1447C2×C8C23×D4311yescharacteristic
1448C2×C8C23×D4311yescharacteristic
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—431no—
1454C4⋊C4—431no—
1455C4⋊C4—431no—
1456C4⋊C4—431no—
1457C4⋊C4—431no—
1458C4⋊C4—431no—
1459C4⋊C4—431no—
1460C4⋊C4—431no—
1461C4⋊C4—431no—
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⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4—861no—
1479C4⋊C4—861no—
1480C4⋊C4D4×D4311yescharacteristic
1481C4⋊C4C23×D4311yescharacteristic
1482C4⋊C4C23×D4311yescharacteristic
1483C4⋊C4C23×D4311yescharacteristic
1484C4⋊C4C23×D4311yescharacteristic
1485C4⋊C4C23×D4311yescharacteristic
1486C4⋊C4C23×D4311yescharacteristic
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—431no—
1497C22⋊C4—431no—
1498C22⋊C4—431no—
1499C22⋊C4—431no—
1500C22⋊C4—431no—
1501C22⋊C4—431no—
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⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4—861no—
1524C22⋊C4—861no—
1525C22⋊C4—861no—
1526C22⋊C4—861no—
1527C22⋊C4—861no—
1528C22⋊C4—861no—
1529C22⋊C4D4×D4311yescharacteristic
1530C22⋊C4D4×D4311yescharacteristic
1531C42—21no—
1532C42—21no—
1533C42—21no—
1534C42—431no—
1535C42—431no—
1536C42—431no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42—861no—
1543C42—861no—
1544C42—861no—
1545C42—861no—
1546C42C23×D4311yescharacteristic
1547C23—21no—
1548C23—21no—
1549C23—431no—
1550C23—431no—
1551C23—431no—
1552C23—861no—
1553C23—861no—
1554C23—3441no—
1555C23—3441no—
1556C23—3441no—
1557C23—3441no—
1558C23—1722no—
1559C23—1722no—
1560C23C2×D4×D4311yescharacteristic
1561C23C2×D4×D4311yescharacteristic
1562Q8—81no—
1563Q8—862no—
1564Q8—862no—
1565Q8—3441no—
1566Q8—1722no—
1567Q8—1722no—
1568D4—21no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—41no—
1573D4—81no—
1574D4—81no—
1575D4—81no—
1576D4—81no—
1577D4—862no—
1578D4—862no—
1579D4—862no—
1580D4—862no—
1581D4—862no—
1582D4—862no—
1583D4—861no—
1584D4—861no—
1585D4—861no—
1586D4—861no—
1587D4—3441no—
1588D4—3441no—
1589D4—3441no—
1590D4—3441no—
1591D4—3441no—
1592D4—3441no—
1593D4—3441no—
1594D4—3441no—
1595D4—3441no—
1596D4—3441no—
1597D4—3441no—
1598D4—3441no—
1599D4—1721no—
1600D4—1722no—
1601D4—1722no—
1602D4—1721no—
1603D4—1721no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—42no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—431no—
1618C2×C4—432no—
1619C2×C4—432no—
1620C2×C4—431no—
1621C2×C4—431no—
1622C2×C4—431no—
1623C2×C4—431no—
1624C2×C4—861no—
1625C2×C4—861no—
1626C2×C4—861no—
1627C2×C4—861no—
1628C2×C4—861no—
1629C2×C4—861no—
1630C2×C4—861no—
1631C2×C4—861no—
1632C2×C4—861no—
1633C2×C4—861no—
1634C2×C4—3441no—
1635C2×C4—3441no—
1636C2×C4—3441no—
1637C2×C4—3441no—
1638C2×C4—3441no—
1639C2×C4—3441no—
1640C2×C4—3441no—
1641C2×C4—3441no—
1642C2×C4—3441no—
1643C2×C4—3441no—
1644C2×C4—3441no—
1645C2×C4—3441no—
1646C2×C4—1721no—
1647C2×C4—1721no—
1648C2×C4—1722no—
1649C2×C4—1722no—
1650C2×C4—1722no—
1651C2×C4C2×D4×D4311yescharacteristic
1652C2×C4C2×D4×D4311yescharacteristic
1653C2×C4C2×D4×D4311yescharacteristic
1654C2×C4C2×D4×D4311yescharacteristic
1655C2×C4C24×D4311yescharacteristic
1656C8—21no—
1657C8—21no—
1658C8—21no—
1659C8—432no—
1660C8—861no—
1661C8—861no—
1662C8—861no—
1663C8#41×D4312yes—
1664C22—21no—
1665C22—21no—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—432no—
1677C22—861no—
1678C22—861no—
1679C22—861no—
1680C22—861no—
1681C22—861no—
1682C22—861no—
1683C22—861no—
1684C22—861no—
1685C22—3444no—
1686C22—3444no—
1687C22—1721no—
1688C22—1721no—
1689C22—1721no—
1690C22—1721no—
1691C22—1721no—
1692C22—1721no—
1693C22C22×D4×D4311yescharacteristic
1694C4—21no—
1695C4—21no—
1696C4—21no—
1697C4—21no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—432no—
1705C4—861no—
1706C4—861no—
1707C4—861no—
1708C4—861no—
1709C4—1721no—
1710C4—1721no—
1711C4—1721no—
1712C4—1721no—
1713C4—1721no—
1714C4—1721no—
1715C4C2×#41×D4311yescharacteristic
1716C42−1+4×D4311yescharacteristic
1717C2—41no—
1718C2—41no—
1719C2—81no—
1720C2—81no—
1721C2—862no—
1722C2—3441no—
1723C2—3441no—
1724C2—1721no—
1725C2—1721no—
1726C2#547×D4311yescharacteristic
1727C2#1914937011yescharacteristic
1728C2#1914937211yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3347C2
socleC22×C43C23×D4
hypercenter#3347D43
hypocenterC43#61293
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. #19148441C2semidirect
2. #19148437C2semidirect
3. #19147102C2semidirect
4. #19147095C2semidirect
5. #19147094C2semidirect
6. #19147093C2semidirect
7. #19147091C2semidirect
8. #19147090C2semidirect
9. #19147088C2semidirect
10. #19147071C2semidirect
11. #19147070C2semidirect
12. #19147069C2semidirect
13. #19147068C2semidirect
14. #19147067C2semidirect
15. #19147066C2semidirect
16. #19147062C2semidirect
17. #19147059C2semidirect
18. #19145116C2semidirect
19. #19144550C2semidirect
20. #19144548C2semidirect
21. #19144548C2semidirect
22. #19144546C2semidirect
23. #19144390C2semidirect
24. #19144387C2semidirect
25. #19144241C2semidirect
26. #19144238C2semidirect
27. #442×D43C2semidirect
28. #19143309C2semidirect
29. #19143189C2semidirect
30. #19143187C2semidirect
31. C43×#3347C2semidirect
41. #14583615C22semidirect
42. #14583613C22semidirect
43. #14583612C22semidirect
44. #14583602C22semidirect
45. #14583601C22semidirect
46. #14583601C22semidirect
47. #14583599C22semidirect
48. #14583595C22semidirect
49. #14583593C22semidirect
50. #14583593C22semidirect
53. #14583554C22semidirect
54. #14583553C22semidirect
55. #14583550C22semidirect
56. #14583549C22semidirect
78. #14583309C22semidirect
79. #14583308C22semidirect
80. #14583307C22semidirect
81. #14583307C22semidirect
82. #14583306C22semidirect
83. #14583306C22semidirect
84. #14583305C22semidirect
85. #14583226C22semidirect
86. #14583226C22semidirect
87. #14583225C22semidirect
88. #14583225C22semidirect
89. #14583224C22semidirect
90. #14583223C22semidirect
91. #14583223C22semidirect
92. #14583223C22semidirect
93. #14583222C22semidirect
94. #14583222C22semidirect
95. #14583221C22semidirect
96. #14583221C22semidirect
97. #14583220C22semidirect
98. #14583219C22semidirect
99. #14583218C22semidirect
100. #14583218C22semidirect
101. #14583217C22semidirect
102. #14583216C22semidirect
103. #14583216C22semidirect
104. #14583216C22semidirect
105. #14583215C22semidirect
106. #14583214C22semidirect
107. #14583214C22semidirect
108. #14583214C22semidirect
109. #14583213C22semidirect
110. #14583211C22semidirect
111. #14583210C22semidirect
112. #14583210C22semidirect
113. #14583202C22semidirect
114. #14583202C22semidirect
115. #14583201C22semidirect
116. #14583201C22semidirect
117. #14583200C22semidirect
118. #14583199C22semidirect
119. #14583196C22semidirect
120. #14583190C22semidirect
121. #14583189C22semidirect
122. #14583188C22semidirect
123. #14583187C22semidirect
124. #14583178C22semidirect
125. #14583177C22semidirect
126. #14583176C22semidirect
148. #14582973C22semidirect
149. #14582972C22semidirect
150. #14582971C22semidirect
151. #14582970C22semidirect
152. #14582969C22semidirect
153. #14582968C22semidirect
154. #14582967C22semidirect
155. #14582942C22semidirect
156. #14582942C22semidirect
157. #14582941C22semidirect
161. #14582940C22semidirect
162. #14582940C22semidirect
163. #14582940C22semidirect
165. #14582938C22semidirect
168. #14582936C22semidirect
169. #14582935C22semidirect
172. #14582934C22semidirect
173. C2×#13063257C22semidirect
174. C2×#13063256C22semidirect
176. #106×D43C22semidirect
177. #106×D43C22semidirect
188. C43×#555C22semidirect
189. C43×#553C22semidirect
190. C43×#501C22semidirect
191. C43×#482C22semidirect
192. C43×#482C22semidirect
193. C43×#482C22semidirect
194. C43×#480C22semidirect
195. C43×#478C22semidirect
196. C43×#474C22semidirect
200. C43×#435C22semidirect
201. C43×#428C22semidirect
202. C43×#427C22semidirect
681. C8×D43#41semidirect
862. #3347D43semidirect
908. #555C2×D43semidirect
916. #553C2×D43semidirect
951. #501C2×D43semidirect
965. #482C2×D43semidirect
966. #482C2×D43semidirect
967. #482C2×D43semidirect
983. #480C2×D43semidirect
991. #478C2×D43semidirect
999. #474C2×D43semidirect
1031. #435C2×D43semidirect
1043. #428C2×D43semidirect
1051. #427C2×D43semidirect
1067. C43#61293semidirect

Maximal subgroups

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

subgroupindex
#191484412
#191484372
#191471022
#191470952
#191470942
#191470932
#191470912
#191470902
#191470882
#191470712
#191470702
#191470692
#191470682
#191470672
#191470662
#191470622
#191470592
#191451162
#191445502
#191445482
#191445462
#191443902
#191443872
#191442412
#191442382
#442×D432
#191433092
#191431892
#191431872
C43×#33472
#6129343