Finite Group Databasebeta

← #25975512

Subgroups — #25975512

Order 11008.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148313C211yesmaximal, characteristic, complemented
2#19148311C211yesmaximal, characteristic, complemented
3#19147132C211yesmaximal, characteristic, complemented
4#19147125C211yesmaximal, characteristic, complemented
5#19147123C211yesmaximal, characteristic, complemented
6#19147118C211yesmaximal, characteristic, complemented
7#19147099C211yesmaximal, characteristic, complemented
8#19147098C211yesmaximal, characteristic, complemented
9#19147092C211yesmaximal, characteristic, complemented
10#19147089C211yesmaximal, characteristic, complemented
11#19147010C211yesmaximal, characteristic, complemented
12#19147009C211yesmaximal, characteristic, complemented
13#19147004C211yesmaximal, characteristic, complemented
14#19147003C211yesmaximal, characteristic, complemented
15#19146973C211yesmaximal, characteristic, complemented
16#19146970C211yesmaximal, characteristic, complemented
17#19146969C211yesmaximal, characteristic, complemented
18#19145124C211yesmaximal, characteristic, complemented
19#19144574C211yesmaximal, characteristic, complemented
20#19144568C211yesmaximal, characteristic, complemented
21#19144527C211yesmaximal, characteristic, complemented
22#19144523C211yesmaximal, characteristic, complemented
23#19144449C211yesmaximal, characteristic, complemented
24#19144447C211yesmaximal, characteristic, complemented
25#19144252C211yesmaximal, characteristic, complemented
26#19144171C211yesmaximal, characteristic, complemented
27#19143473C211yesmaximal, characteristic, complemented
28#19143284C211yesmaximal, characteristic, complemented
29#19143186C211yesmaximal, characteristic, complemented
30#427×D43C211yesmaximal, characteristic, complemented
31C43×#3337C211yesmaximal, characteristic, complemented
32C2×#13063346C2211yescharacteristic
33C2×#13063331C2211yescharacteristic
34C22×C8×D43C2211yescharacteristic
35#14583622C2211yescharacteristic
36#14583620C2211yescharacteristic
37#14583619C2211yescharacteristic
38#14583617C2211yescharacteristic
39#14583616—21no—
40#14583616—21no—
41#14583614C2211yescharacteristic
42#14583614C2211yescharacteristic
43#14583613—21no—
44#14583613C2211yescharacteristic
45#14583612—21no—
46#14583612C2211yescharacteristic
47#14583602C2211yescharacteristic
48#14583598—21no—
49#14583597C2211yescharacteristic
50#14583596C2211yescharacteristic
51#14583594—21no—
52#14583587C2211yescharacteristic
53#14583586—21no—
54#14583584C2211yescharacteristic
55#14583583C2211yescharacteristic
56#14583581—21no—
57#14583529C2211yescharacteristic
58#14583529C2211yescharacteristic
59#14583488—21no—
60#14583485—21no—
61#14583485—21no—
62#14583481—21no—
63#14583479C2211yescharacteristic
64#14583478C2211yescharacteristic
65#14583434—21no—
66#14583432—21no—
67#14583431—21no—
68#14583427—21no—
69#14583412C2211yescharacteristic
70#14583409C2211yescharacteristic
71#14583408C2211yescharacteristic
72#14583381C2211yescharacteristic
73#14583380C2211yescharacteristic
74#14583380C2211yescharacteristic
75#14583378C2211yescharacteristic
76#117×D43C2211yescharacteristic
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#14583242C2211yescharacteristic
87#14583242C2211yescharacteristic, complemented
88#14583241C2211yescharacteristic
89#14583241C2211yescharacteristic, complemented
90#14583240C2211yescharacteristic
91#14583239C2211yescharacteristic
92#14583238C2211yescharacteristic
93#14583238C2211yescharacteristic, complemented
94#14583237C2211yescharacteristic
95#14583237C2211yescharacteristic, complemented
96#14583236C2211yescharacteristic, complemented
97#14583234C2211yescharacteristic, complemented
98#14583233C2211yescharacteristic, complemented
99#14583226C2211yescharacteristic
100#14583226C2211yescharacteristic, complemented
101#14583225C2211yescharacteristic
102#14583224C2211yescharacteristic
103#14583224C2211yescharacteristic, complemented
104#14583223C2211yescharacteristic
105#14583222C2211yescharacteristic
106#14583222C2211yescharacteristic, complemented
107#14583221C2211yescharacteristic
108#14583220C2211yescharacteristic
109#14583220C2211yescharacteristic, complemented
110#14583214C2211yescharacteristic, complemented
111#14583212C2211yescharacteristic, complemented
112#14583211C2211yescharacteristic, complemented
113#14583209C2211yescharacteristic, complemented
114#14583208C2211yescharacteristic, complemented
115#14583203C2211yescharacteristic, complemented
116#14583198C2211yescharacteristic, complemented
117#14583197C2211yescharacteristic, complemented
118#14583196C2211yescharacteristic, complemented
119#14583195C2211yescharacteristic, complemented
120#14583194C2211yescharacteristic, complemented
121#14583193C2211yescharacteristic, complemented
122#14583192C2211yescharacteristic, complemented
123#14583180C2211yescharacteristic, complemented
124#14583179C2211yescharacteristic, complemented
125#14583178C2211yescharacteristic, complemented
126#14583177C2211yescharacteristic, complemented
127#14583156C2211yescharacteristic, complemented
128#14583155C2211yescharacteristic, complemented
129#14583151C2211yescharacteristic, complemented
130#14583150C2211yescharacteristic, complemented
131#14583139C2211yescharacteristic
132#14583138C2211yescharacteristic
133#14583134C2211yescharacteristic
134#14583133C2211yescharacteristic
135#14583129C2211yescharacteristic
136#14583129C2211yescharacteristic, complemented
137#14583128C2211yescharacteristic
138#14583128C2211yescharacteristic, complemented
139#14583125C2211yescharacteristic
140#14583125C2211yescharacteristic, complemented
141#14583009C2211yescharacteristic, complemented
142#14583008C2211yescharacteristic, complemented
143#14583004C2211yescharacteristic, complemented
144#14583003C2211yescharacteristic, complemented
145C4×#10621873C2211yescharacteristic, complemented
146SD16×Dic43C2211yescharacteristic, complemented
147#14582986C2211yescharacteristic, complemented
148#14582973C2211yescharacteristic
149#14582971C2211yescharacteristic
150#14582969C2211yescharacteristic
151#14582967C2211yescharacteristic
152C8×D172C2211yescharacteristic
153C8×C22⋊D43C2211yescharacteristic
154C8×C22⋊D43C2211yescharacteristic
155#14582940C2211yescharacteristic
156#14582940C2211yescharacteristic
157#14582939C2211yescharacteristic, complemented
158#14582939C2211yescharacteristic, complemented
159#14582938C2211yescharacteristic
160#14582938C2211yescharacteristic
161#14582938C2211yescharacteristic, complemented
162#14582938C2211yescharacteristic, complemented
163#14582937C2211yescharacteristic
164#14582937C2211yescharacteristic, complemented
165#14582936C2211yescharacteristic
166#14582936C2211yescharacteristic
167#14582935C2211yescharacteristic
168#14582935C2211yescharacteristic
169#14582934C2211yescharacteristic
170#14582934C2211yescharacteristic
171#14582934C2211yescharacteristic
172#14582934C2211yescharacteristic, complemented
173#107×D43C2211yescharacteristic
174#107×D43C2211yescharacteristic
175#106×D43C2211yescharacteristic
176#106×D43C2211yescharacteristic
177#106×D43C2211yescharacteristic, complemented
178#14582924C2211yescharacteristic
179#14582899C2211yescharacteristic
180#14582899C2211yescharacteristic
181#14582897C2211yescharacteristic
182#14582897C2211yescharacteristic
183#14582894C2211yescharacteristic
184#14582892C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582861C2211yescharacteristic
187#14582853C2211yescharacteristic
188C43×#553C2211yescharacteristic
189C43×#552C2211yescharacteristic
190C43×#499C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic
192C43×#484C2211yescharacteristic, complemented
193C43×#482C2211yescharacteristic
194C43×#480C2211yescharacteristic, complemented
195C43×#479C2211yescharacteristic, complemented
196C43×#478C2211yescharacteristic, complemented
197C43×#465C2211yescharacteristic
198C43×#465C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic, complemented
200C8×D4×C43C2211yescharacteristic
201C43×#427C2211yescharacteristic
202C2×#106×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207#13063346—24no—
208C2×#10621885C2311yescharacteristic
209C2×#10621873C2311yescharacteristic
210C2×#10621882C2311yescharacteristic
211#13063331—24no—
212C2×#10621877C2311yescharacteristic
213C2×#10621872C2311yescharacteristic
214C2×#10621872C2311yescharacteristic
215C2×#10621872C2311yescharacteristic
216C22×C43⋊C8C2311yescharacteristic
217C2×C8×D43—24no—
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#13063324C2311yescharacteristic
228#13063324C2311yescharacteristic
229#13063320—21no—
230#13063320—21no—
231#13063320—21no—
232#13063320—21no—
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063319—21no—
237#13063318—21no—
238#13063318—21no—
239#13063318—21no—
240#13063318—21no—
241#13063318—21no—
242#13063318—21no—
243#13063316—21no—
244#13063316C2311yescharacteristic
245#13063316C2311yescharacteristic
246#13063315—21no—
247#13063315—21no—
248#13063315—21no—
249#13063315—21no—
250#13063313—21no—
251#13063313—21no—
252#13063312—21no—
253#13063312—21no—
254#13063311—21no—
255#13063311—21no—
256#13063311—21no—
257#13063311—21no—
258#13063311—21no—
259#13063311—21no—
260#13063311—21no—
261#13063311—21no—
262#13063310—21no—
263#13063310—21no—
264#13063310—21no—
265#13063310—21no—
266#13063310D411yescharacteristic
267#13063308—21no—
268#13063307—21no—
269#13063307—21no—
270#13063307D411yescharacteristic
271#13063306—21no—
272#13063305—21no—
273#13063305—21no—
274#13063305C2311yescharacteristic
275#13063305C2311yescharacteristic
276#13063304C2311yescharacteristic
277#13063304C2311yescharacteristic
278#13063303—21no—
279#13063303—21no—
280#13063303—21no—
281#13063303D411yescharacteristic
282#13063302—21no—
283#13063302D411yescharacteristic
284#13063301C2311yescharacteristic
285#13063301C2311yescharacteristic
286#13063300—21no—
287#13063300—21no—
288#13063300C2311yescharacteristic
289#13063300C2311yescharacteristic
290#13063299—21no—
291#13063299—21no—
292#13063299C2311yescharacteristic
293#13063299C2311yescharacteristic
294#13063298—21no—
295#13063298—21no—
296#13063298—21no—
297#13063298—21no—
298#13063298D411yescharacteristic
299#13063297—21no—
300#13063297—21no—
301#13063297D411yescharacteristic
302#13063296—21no—
303#13063296—21no—
304#13063296—21no—
305#13063296C2311yescharacteristic
306#13063296C2311yescharacteristic
307#13063295—21no—
308#13063295D411yescharacteristic
309#13063293—21no—
310#13063293D411yescharacteristic
311Q8×Dic43C2311yescharacteristic
312C4×Dic86—21no—
313C4×Dic86—21no—
314C4×Dic86C2311yescharacteristic
315#13063290—21no—
316#13063290—21no—
317#13063290—21no—
318#13063290—21no—
319#13063290C2311yescharacteristic
320C4×D172—21no—
321C4×D172C2311yescharacteristic
322C4×D172C2311yescharacteristic
323D4×Dic43—21no—
324D4×Dic43C2311yescharacteristic
325#13063287—21no—
326#13063287—21no—
327#13063287—21no—
328#13063287—21no—
329#13063287—21no—
330#13063287C2311yescharacteristic
331C4×C22⋊D43—21no—
332C4×C22⋊D43—21no—
333C4×C22⋊D43—21no—
334C4×C22⋊D43—21no—
335C4×C22⋊D43—21no—
336C4×C22⋊D43—21no—
337C4×C22⋊D43C2311yescharacteristic
338C4×C22⋊D43C2311yescharacteristic
339(C22⋊D43)⋊C4—21no—
340(C22⋊D43)⋊C4—21no—
341(C22⋊D43)⋊C4—21no—
342(C22⋊D43)⋊C4—21no—
343#13063284—21no—
344#13063284—21no—
345#13063284C2311yescharacteristic
346#13063284C2311yescharacteristic
347#13063284C2311yescharacteristic
348#13063284C2311yescharacteristic
349#13063283—21no—
350#13063283—21no—
351#13063283—21no—
352#13063283C2311yescharacteristic
353#13063283C2311yescharacteristic
354#13063283C2311yescharacteristic
355#13063283C2311yescharacteristic
356#13063283C2311yescharacteristic
357#13063283C2311yescharacteristic
358#13063283C2311yescharacteristic
359#13063283C2311yescharacteristic
360#13063282—21no—
361#13063282—21no—
362#13063282—21no—
363#13063282—21no—
364#13063282C2311yescharacteristic
365#13063281—21no—
366#13063281—21no—
367#13063281—21no—
368#13063281—21no—
369C2×Dic43⋊C4—21no—
370C4⋊C4×D43—21no—
371C4⋊C4×D43C2311yescharacteristic
372C4⋊C4×D43C2311yescharacteristic
373C4⋊C4×D43C2311yescharacteristic
374C4⋊C4×D43C2311yescharacteristic
375C4⋊C4×D43C2311yescharacteristic
376C4⋊C4×D43C2311yescharacteristic
377C22⋊C4×D43—21no—
378C22⋊C4×D43—21no—
379C42×D43—21no—
380C42×D43—21no—
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
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#13063256C2311yescharacteristic
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#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
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
436#13063235C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C22×C8×C43C2311yescharacteristic
440C22×C8×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⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43C2×D411yescharacteristic
498C2×C22⋊D43C2×D411yescharacteristic
499C2×C22⋊D43C2×D411yescharacteristic
500C2×C22⋊D43C2×D411yescharacteristic
501C22×Dic43—21no—
502C22×Dic43—21no—
503C22×Dic43C2×D411yescharacteristic
504#10621902—22no—
505#10621902—22no—
506#10621900—22no—
507#10621900—22no—
508#10621898—22no—
509#10621898—22no—
510C2×D172—21no—
511C2×D172—21no—
512C2×D172—21no—
513C2×D172C2×D411yescharacteristic
514C2×D172C2×D411yescharacteristic
515C2×D172C2411yescharacteristic
516C2×C4×D43—22no—
517C2×C4×D43—22no—
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43C2×D411yescharacteristic
528C2×C4×D43C2×D411yescharacteristic
529C2×C4×D43C2411yescharacteristic
530C2×C4×D43C2411yescharacteristic
531C2×C4×D43C2411yescharacteristic
532C2×Dic86—21no—
533C2×Dic86—21no—
534C2×Dic86—21no—
535C2×Dic86—21no—
536C2×Dic86C2×D411yescharacteristic
537C2×Dic86C2411yescharacteristic
538SD16×C43—22no—
539C2×C8×C43—22no—
540C2×C8×C43—22no—
541C2×C8×C43C2411yescharacteristic
542C2×C8×C43C2411yescharacteristic
543C2×C8×C43C2411yescharacteristic
544C2×C8×C43C2411yescharacteristic
545C4⋊C4×C43—21no—
546C4⋊C4×C43—21no—
547C4⋊C4×C43—21no—
548C4⋊C4×C43—21no—
549C4⋊C4×C43—21no—
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43C2×D411yescharacteristic
555C4⋊C4×C43C2411yescharacteristic
556C4⋊C4×C43C2411yescharacteristic
557C4⋊C4×C43C2411yescharacteristic
558C4⋊C4×C43C2411yescharacteristic
559C4⋊C4×C43C2411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43C2×D411yescharacteristic
569C22⋊C4×C43C2×D411yescharacteristic
570C42×C43—21no—
571C42×C43—21no—
572C42×C43—21no—
573C42×C43C2411yescharacteristic
574C22⋊Dic43—21no—
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43C2×D411yescharacteristic
584C22⋊Dic43C2×D411yescharacteristic
585#10621885—22no—
586#10621882—22no—
587(C2×D43)⋊C4—21no—
588(C2×D43)⋊C4—21no—
589(C2×D43)⋊C4—21no—
590(C2×D43)⋊C4—21no—
591(C2×D43)⋊C4—21no—
592(C2×D43)⋊C4—21no—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4C2×D411yescharacteristic
606(C2×D43)⋊C4C2×D411yescharacteristic
607(C2×D43)⋊C4C2×D411yescharacteristic
608(C2×D43)⋊C4C2×D411yescharacteristic
609(C2×D43)⋊C4C2×D411yescharacteristic
610(C2×D43)⋊C4C2×D411yescharacteristic
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43C2×D411yescharacteristic
619C4⋊Dic43C2411yescharacteristic
620C4⋊Dic43C2411yescharacteristic
621C4⋊Dic43C2411yescharacteristic
622C4⋊Dic43C2411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625Dic43⋊C4—21no—
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4C2×D411yescharacteristic
642Dic43⋊C4C2×D411yescharacteristic
643Dic43⋊C4C2×D411yescharacteristic
644Dic43⋊C4C2×D411yescharacteristic
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
667#10621873—22no—
668#10621872—22no—
669#10621872—22no—
670#10621872—22no—
671C8×D43—22no—
672C8×D43—22no—
673C8×D43—22no—
674C8×D43—22no—
675C8×D43#4114yes—
676C23×C43—21no—
677C23×C43C22×D411yescharacteristic
678C23×C43C22×D411yescharacteristic
679C22×D43—22no—
680C22×D43—21no—
681C22×D43—41no—
682C22×D43—41no—
683C22×D43C22×D411yescharacteristic
684C22×D43C22×D411yescharacteristic
685C22×D43C22×D411yescharacteristic
686Q8×C43—21no—
687Q8×C43—21no—
688D4×C43—21no—
689D4×C43—21no—
690D4×C43—41no—
691D4×C43—81no—
692D4×C43—81no—
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—21no—
704C2×C4×C43—81no—
705C2×C4×C43—81no—
706C2×C4×C43—81no—
707C2×C4×C43C22×D411yescharacteristic
708C2×C4×C43C22×D411yescharacteristic
709C2×C4×C43C22×D411yescharacteristic
710C2×C4×C43C22×D411yescharacteristic
711C2×C4×C43C2511yescharacteristic
712C22⋊D43—22no—
713C22⋊D43—22no—
714C22⋊D43—41no—
715C22⋊D43—41no—
716C22⋊D43—42no—
717C22⋊D43—81no—
718C22⋊D43—81no—
719C22⋊D43—81no—
720C22⋊D43—81no—
721C2×Dic43—22no—
722C2×Dic43—21no—
723C2×Dic43—21no—
724C2×Dic43—21no—
725C2×Dic43—21no—
726C2×Dic43—21no—
727C2×Dic43—21no—
728C2×Dic43—21no—
729C2×Dic43—42no—
730C2×Dic43—81no—
731C2×Dic43C22×D411yescharacteristic
732C2×Dic43C22×D411yescharacteristic
733C2×Dic43C22×D411yescharacteristic
734C2×Dic43C22×D411yescharacteristic
735C2×Dic43C22×D411yescharacteristic
736D172—22no—
737D172—21no—
738D172—21no—
739D172—41no—
740D172—42no—
741D172—81no—
742D172—81no—
743C4×D43—22no—
744C4×D43—21no—
745C4×D43—21no—
746C4×D43—21no—
747C4×D43—21no—
748C4×D43—22no—
749C4×D43—42no—
750C4×D43—81no—
751C4×D43—81no—
752C4×D43—81no—
753C4×D43—81no—
754C4×D43—81no—
755C4×D43—81no—
756C4×D43—81no—
757C4×D43—81no—
758C4×D43C2×#4112yes—
759C4×D432−1+412yes—
760Dic86—22no—
761Dic86—21no—
762Dic86—21no—
763Dic86—81no—
764Dic86—81no—
765Dic86—81no—
766Dic86—81no—
767C8×C43—21no—
768C8×C43—21no—
769C8×C43—21no—
770C8×C43C2×#4112yes—
771C43⋊C8—21no—
772C43⋊C8—21no—
773C43⋊C8—21no—
774C43⋊C8C2×#4112yes—
775#61260—431nomaximal, Sylow
776C22×C43—21no—
777C22×C43—21no—
778C22×C43—21no—
779C22×C43—21no—
780C22×C43—21no—
781C22×C43—21no—
782C22×C43—41no—
783C22×C43—41no—
784C22×C43—41no—
785C22×C43C23×D411yescharacteristic
786C2×D43—21no—
787C2×D43—21no—
788C2×D43—21no—
789C2×D43—21no—
790C2×D43—21no—
791C2×D43—21no—
792C2×D43—21no—
793C2×D43—21no—
794C2×D43—44no—
795C2×D43—41no—
796C2×D43—41no—
797C2×D43—41no—
798C2×D43#54712yes—
799C4×C43—21no—
800C4×C43—21no—
801C4×C43—21no—
802C4×C43—21no—
803C4×C43—41no—
804C4×C43—41no—
805C4×C43—41no—
806C4×C43—41no—
807C4×C43—41no—
808C4×C43—41no—
809C4×C43—41no—
810C4×C43C22×#4111yescharacteristic
811C4×C43C2×2−1+411yescharacteristic
812Dic43—21no—
813Dic43—21no—
814Dic43—21no—
815Dic43—21no—
816Dic43—41no—
817Dic43—41no—
818Dic43—41no—
819Dic43—41no—
820Dic43—41no—
821Dic43—41no—
822Dic43—41no—
823Dic43#54712yes—
824#3493—431no—
825#3493—431no—
826#3349—431no—
827#3349—431no—
828#3349—431no—
829#3349—431no—
830#3347—431no—
831#3347—431no—
832#3347—431no—
833#3347—431no—
834#3340—431no—
835#3340—431no—
836#3340—431no—
837#3340—431no—
838#3337—431no—
839#3337—431no—
840#3337—431no—
841#3337D4311yescharacteristic, complemented
842#3163—431no—
843#3098—431no—
844#3098—431no—
845#3093—431no—
846#3093—431no—
847#3083—431no—
848#3083—431no—
849#3060—431no—
850#3050—431no—
851#2952—431no—
852#2929—431no—
853#2912—431no—
854C2×#427—431no—
855C2×C43—41no—
856C2×C43—41no—
857C2×C43—81no—
858C2×C43C2×#54711yescharacteristic
859C2×C43#358411yescharacteristic
860C2×C43#358411yescharacteristic
861D43—22no—
862D43—41no—
863D43—41no—
864D43—81no—
865C2×#135—431no—
866C2×#131—431no—
867C23×C8—431no—
868#556—431no—
869#556—431no—
870#556—431no—
871#556—431no—
872#556—861no—
873#556—861no—
874#555—431no—
875#555—431no—
876#555—431no—
877#555—431no—
878#555—861no—
879#555—861no—
880#553—431no—
881#553—431no—
882#553—431no—
883#553—861no—
884#553—861no—
885#553C2×D4311yescharacteristic
886#552—431no—
887#552—431no—
888#552—431no—
889#552—861no—
890#552—861no—
891#552C2×D4311yescharacteristic
892#544—431no—
893#544—431no—
894#538—861no—
895#538—861no—
896#538—861no—
897#538—861no—
898#537—431no—
899#537—431no—
900#529—861no—
901#529—861no—
902#529—861no—
903#529—861no—
904#525—431no—
905#525—431no—
906#525—431no—
907#520—431no—
908#520—431no—
909#520—431no—
910#520—431no—
911C2×#117—431no—
912C2×#117—431no—
913#501—431no—
914#501—431no—
915#501—431no—
916#501—431no—
917#499—431no—
918#499C2×D4311yescharacteristic, complemented
919#498—431no—
920#498—431no—
921#485—431no—
922#485—431no—
923#485—431no—
924#485—431no—
925#485—431no—
926#485—431no—
927#485—431no—
928#485—431no—
929#485—431no—
930#485—431no—
931#485—431no—
932#485C2×D4311yescharacteristic
933#484—431no—
934#484—431no—
935#484—431no—
936#484C2×D4311yescharacteristic, complemented
937#482—431no—
938#482—431no—
939#482—431no—
940#482—431no—
941#482—431no—
942#482—431no—
943#482—431no—
944#482—431no—
945#482—431no—
946#482—431no—
947#482—431no—
948#482C2×D4311yescharacteristic
949#480—431no—
950#480—431no—
951#480—431no—
952#480C2×D4311yescharacteristic, complemented
953#479—431no—
954#479—431no—
955#479—431no—
956#479C2×D4311yescharacteristic, complemented
957#478—431no—
958#478—431no—
959#478—431no—
960#478C2×D4311yescharacteristic, complemented
961#477—431no—
962#477—431no—
963#477—431no—
964#477—431no—
965#474—431no—
966#474—431no—
967#474—431no—
968#474—431no—
969#470—431no—
970#470—431no—
971#469—431no—
972#469—431no—
973#467—431no—
974#467—431no—
975#466—431no—
976#466—431no—
977#465—431no—
978#465—431no—
979#465—431no—
980#465—431no—
981#465—431no—
982#465—431no—
983#465C2×D4311yescharacteristic
984#465C2×D4311yescharacteristic, complemented
985#442—431no—
986#442—431no—
987#441—431no—
988#441—431no—
989C4×SD16—431no—
990C4×SD16—431no—
991C4×SD16—431no—
992C4×SD16C2×D4311yescharacteristic, complemented
993#435—431no—
994#435—431no—
995#435—431no—
996#435—431no—
997C8×D4—431no—
998C8×D4—431no—
999C8×D4—431no—
1000C8×D4C2×D4311yescharacteristic
1001#428—431no—
1002#428—431no—
1003#428—431no—
1004#428—431no—
1005#428—431no—
1006#428—431no—
1007#428—431no—
1008#428—431no—
1009#427—431no—
1010#427—431no—
1011#427—431no—
1012#427—431no—
1013#427—431no—
1014#427—431no—
1015#427—431no—
1016#427—431no—
1017#427—431no—
1018#427—431no—
1019#427C2×D4311yescharacteristic
1020C2×#107—431no—
1021C2×#107—431no—
1022C2×#106—431no—
1023C2×#106—431no—
1024C2×#106—431no—
1025C2×#106C2×D4311yescharacteristic, complemented
1026#424—431no—
1027#417—431no—
1028#417—431no—
1029#417—431no—
1030#417—431no—
1031#416—431no—
1032#416—431no—
1033#408—431no—
1034#407—431no—
1035#405—431no—
1036C43#6126011yescharacteristic, complemented, Sylow
1037C2×#41—431no—
1038C2×#41—431no—
1039C2×#41—431no—
1040C23×C4—431no—
1041#135—864no—
1042C2×Q16—431no—
1043C2×SD16—431no—
1044C2×SD16C22×D4311yescharacteristic
1045C2×D8—431no—
1046#131—864no—
1047C2×M16—431no—
1048C2×M16—431no—
1049C2×M16—431no—
1050C2×M16—431no—
1051C22×C8—431no—
1052C22×C8—431no—
1053C22×C8—431no—
1054C22×C8—431no—
1055C22×C8—431no—
1056C22×C8—431no—
1057C22×C8—864no—
1058C22×C8C22×D4311yescharacteristic
1059C22×C8C22×D4311yescharacteristic
1060C4⋊Q8—431no—
1061C4⋊Q8—431no—
1062C4⋊Q8—431no—
1063C4⋊Q8—431no—
1064C4⋊Q8—861no—
1065C4⋊Q8—861no—
1066#126—21no—
1067#126—21no—
1068#126—861no—
1069#126—861no—
1070#126—861no—
1071#126—861no—
1072#126—861no—
1073#126—861no—
1074#126—861no—
1075#126—861no—
1076#126—861no—
1077#126—861no—
1078#126—861no—
1079#126—861no—
1080#126—861no—
1081#126—861no—
1082#125—21no—
1083#125—431no—
1084#125—431no—
1085#125—861no—
1086#125—861no—
1087#125—861no—
1088#125—861no—
1089#125—861no—
1090#125C22×D4311yescharacteristic
1091#125C22×D4311yescharacteristic
1092#124—861no—
1093#124—861no—
1094#124—861no—
1095#124—861no—
1096#124—861no—
1097#124—861no—
1098#124—861no—
1099#124—861no—
1100#124—861no—
1101#124—861no—
1102#124—861no—
1103#124—861no—
1104#123—21no—
1105#123—21no—
1106#123—431no—
1107#123—431no—
1108#123—861no—
1109#123—861no—
1110#123—861no—
1111#123—861no—
1112#123—861no—
1113#123—861no—
1114#123—861no—
1115#123—861no—
1116C22⋊Q8—431no—
1117C22⋊Q8—431no—
1118C22⋊Q8—431no—
1119C22⋊Q8—431no—
1120C22⋊Q8—431no—
1121C22⋊Q8—431no—
1122C22⋊Q8—431no—
1123C22⋊Q8—431no—
1124C22⋊Q8—861no—
1125C22⋊Q8—861no—
1126C22⋊Q8—861no—
1127C22⋊Q8—861no—
1128C22⋊Q8—861no—
1129C22⋊Q8—861no—
1130C22⋊Q8C22×D4311yescharacteristic
1131C22⋊Q8C22×D4311yescharacteristic
1132#121—21no—
1133#121—431no—
1134#121—431no—
1135#121—431no—
1136#121—431no—
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#121—861no—
1148#121—861no—
1149#121—861no—
1150#121—861no—
1151#121—861no—
1152#121—861no—
1153#121—861no—
1154#121C22×D4311yescharacteristic
1155#121C22×D4311yescharacteristic
1156#120—431no—
1157#120—431no—
1158#120—861no—
1159#120—861no—
1160C4×Q8—431no—
1161C4×Q8—431no—
1162C4×Q8—431no—
1163C4×Q8—861no—
1164C4×Q8—861no—
1165C4×Q8—861no—
1166C4×Q8—861no—
1167C4×Q8—861no—
1168C4×Q8—861no—
1169C4×Q8C22×D4311yescharacteristic
1170C4×D4—21no—
1171C4×D4—431no—
1172C4×D4—431no—
1173C4×D4—431no—
1174C4×D4—431no—
1175C4×D4—431no—
1176C4×D4—431no—
1177C4×D4—861no—
1178C4×D4—861no—
1179C4×D4—861no—
1180C4×D4—861no—
1181C4×D4—861no—
1182C4×D4—861no—
1183C4×D4—861no—
1184C4×D4—861no—
1185C4×D4—861no—
1186C4×D4—861no—
1187C4×D4—861no—
1188C4×D4—861no—
1189C4×D4—861no—
1190C4×D4—861no—
1191C4×D4—861no—
1192C4×D4—861no—
1193C4×D4—861no—
1194C4×D4C22×D4311yescharacteristic
1195C4×D4C22×D4311yescharacteristic
1196#117—21no—
1197#117—431no—
1198#117—431no—
1199#117—431no—
1200#117—431no—
1201#117—431no—
1202#117—431no—
1203#117—431no—
1204#117—431no—
1205#117—431no—
1206#117—431no—
1207#117—431no—
1208#117—431no—
1209#117—431no—
1210#117—861no—
1211#117—861no—
1212#117—861no—
1213#117—861no—
1214#117—861no—
1215#117—861no—
1216#117—861no—
1217#117—861no—
1218#117—861no—
1219#117—861no—
1220#117—861no—
1221#117—861no—
1222#117—861no—
1223#117C22×D4311yescharacteristic
1224#117C22×D4311yescharacteristic
1225C2×C4⋊C4—431no—
1226C2×C4⋊C4—431no—
1227C2×C4⋊C4—431no—
1228C2×C4⋊C4—431no—
1229C2×C4⋊C4—431no—
1230C2×C4⋊C4—431no—
1231C2×C4⋊C4—861no—
1232C2×C4⋊C4—861no—
1233C2×C4⋊C4C22×D4311yescharacteristic
1234C2×C4⋊C4C22×D4311yescharacteristic
1235C2×C22⋊C4—861no—
1236C2×C22⋊C4—861no—
1237C2×C42—861no—
1238C2×C42—861no—
1239#107—431no—
1240#107—431no—
1241#107—431no—
1242#107—431no—
1243#107—431no—
1244#107—431no—
1245#107—431no—
1246#107—431no—
1247#107—431no—
1248#107—431no—
1249#107—431no—
1250#107—431no—
1251#107—431no—
1252#107—431no—
1253#107C22×D4311yescharacteristic
1254#107C22×D4311yescharacteristic
1255#107C22×D4311yescharacteristic
1256#107C22×D4311yescharacteristic
1257#106—431no—
1258#106—431no—
1259#106—431no—
1260#106—431no—
1261#106—431no—
1262#106—431no—
1263#106—431no—
1264#106—431no—
1265#106—431no—
1266#106—431no—
1267#106—431no—
1268#106—431no—
1269#106—431no—
1270#106C22×D4311yescharacteristic
1271#106C22×D4311yescharacteristic
1272#106C22×D4311yescharacteristic
1273#106C22×D4311yescharacteristic
1274#106C22×D4311yescharacteristic
1275C4⋊C8—431no—
1276C4⋊C8—431no—
1277C4⋊C8—431no—
1278C4⋊C8C22×D4311yescharacteristic
1279#103—431no—
1280#103—431no—
1281#103—431no—
1282#103—431no—
1283#103—431no—
1284#103—431no—
1285#103—431no—
1286#103—431no—
1287#103—431no—
1288#103C22×D4311yescharacteristic
1289#103C22×D4311yescharacteristic
1290#103C22×D4311yescharacteristic
1291#102—431no—
1292#102—431no—
1293#102—431no—
1294#102—431no—
1295#102—431no—
1296#102—431no—
1297#102—431no—
1298#102—431no—
1299#102—431no—
1300#102C22×D4311yescharacteristic
1301#102C22×D4311yescharacteristic
1302#102C22×D4311yescharacteristic
1303C22⋊C8—431no—
1304C22⋊C8—431no—
1305C22⋊C8—431no—
1306C22⋊C8—431no—
1307C22⋊C8—431no—
1308C22⋊C8—431no—
1309C22⋊C8C22×D4311yescharacteristic
1310C22⋊C8C22×D4311yescharacteristic
1311#97—431no—
1312#97—431no—
1313C4×C8—431no—
1314C4×C8C22×D4311yescharacteristic
1315C24—431no—
1316#41—862no—
1317#41—862no—
1318#41—862no—
1319#41—862no—
1320#41—862no—
1321#41—862no—
1322C2×Q8—431no—
1323C2×Q8—431no—
1324C2×Q8—861no—
1325C2×Q8—861no—
1326C2×Q8—861no—
1327C2×Q8—861no—
1328C2×Q8C23×D4311yescharacteristic
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—431no—
1332C2×D4—431no—
1333C2×D4—431no—
1334C2×D4—431no—
1335C2×D4—431no—
1336C2×D4—431no—
1337C2×D4—431no—
1338C2×D4—861no—
1339C2×D4—861no—
1340C2×D4—861no—
1341C2×D4—861no—
1342C2×D4—861no—
1343C2×D4—861no—
1344C2×D4—861no—
1345C2×D4—861no—
1346C2×D4D4×D4311yescharacteristic
1347C2×D4C23×D4311yescharacteristic
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—431no—
1352C22×C4—431no—
1353C22×C4—431no—
1354C22×C4—431no—
1355C22×C4—431no—
1356C22×C4—431no—
1357C22×C4—862no—
1358C22×C4—862no—
1359C22×C4—861no—
1360C22×C4—861no—
1361C22×C4—861no—
1362C22×C4—861no—
1363C22×C4—861no—
1364C22×C4—861no—
1365C22×C4—861no—
1366C22×C4—861no—
1367C22×C4—861no—
1368C22×C4—861no—
1369C22×C4—861no—
1370C22×C4C23×D4311yescharacteristic
1371C22×C4C23×D4311yescharacteristic
1372Q16—862no—
1373SD16—22no—
1374SD16—862no—
1375D8—862no—
1376M16—862no—
1377M16—862no—
1378M16—862no—
1379M16—862no—
1380C2×C8—22no—
1381C2×C8—22no—
1382C2×C8—431no—
1383C2×C8—434no—
1384C2×C8—431no—
1385C2×C8—431no—
1386C2×C8—431no—
1387C2×C8—862no—
1388C2×C8—862no—
1389C2×C8—862no—
1390C2×C8—862no—
1391C2×C8—862no—
1392C2×C8C23×D4311yescharacteristic
1393C2×C8C23×D4311yescharacteristic
1394C2×C8C23×D4311yescharacteristic
1395C2×C8C23×D4311yescharacteristic
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—431no—
1406C4⋊C4—431no—
1407C4⋊C4—431no—
1408C4⋊C4—431no—
1409C4⋊C4—431no—
1410C4⋊C4—431no—
1411C4⋊C4—431no—
1412C4⋊C4—431no—
1413C4⋊C4—431no—
1414C4⋊C4—431no—
1415C4⋊C4—431no—
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⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4D4×D4311yescharacteristic
1440C4⋊C4C23×D4311yescharacteristic
1441C4⋊C4C23×D4311yescharacteristic
1442C4⋊C4C23×D4311yescharacteristic
1443C4⋊C4C23×D4311yescharacteristic
1444C4⋊C4C23×D4311yescharacteristic
1445C4⋊C4C23×D4311yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—431no—
1454C22⋊C4—431no—
1455C22⋊C4—431no—
1456C22⋊C4—431no—
1457C22⋊C4—431no—
1458C22⋊C4—431no—
1459C22⋊C4—431no—
1460C22⋊C4—431no—
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⋊C4—861no—
1480C22⋊C4—861no—
1481C22⋊C4—861no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4D4×D4311yescharacteristic
1489C22⋊C4D4×D4311yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—431no—
1494C42—861no—
1495C42—861no—
1496C42—861no—
1497C42—861no—
1498C42—861no—
1499C42—861no—
1500C42—861no—
1501C42—861no—
1502C42—861no—
1503C42—861no—
1504C42—861no—
1505C42—861no—
1506C42—861no—
1507C42—861no—
1508C42—861no—
1509C42C23×D4311yescharacteristic
1510C23—21no—
1511C23—431no—
1512C23—431no—
1513C23—431no—
1514C23—862no—
1515C23—861no—
1516C23—1721no—
1517C23—1721no—
1518C23C2×D4×D4311yescharacteristic
1519C23C2×D4×D4311yescharacteristic
1520Q8—21no—
1521Q8—21no—
1522Q8—862no—
1523Q8—861no—
1524Q8—861no—
1525Q8—3441no—
1526Q8—3441no—
1527Q8—3441no—
1528Q8—3441no—
1529D4—21no—
1530D4—21no—
1531D4—41no—
1532D4—81no—
1533D4—81no—
1534D4—862no—
1535D4—862no—
1536D4—862no—
1537D4—861no—
1538D4—861no—
1539D4—3441no—
1540D4—3441no—
1541D4—3441no—
1542D4—3441no—
1543D4—3441no—
1544D4—3441no—
1545D4—1721no—
1546D4—1722no—
1547D4—1721no—
1548D4—1721no—
1549D4—1722no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—81no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—431no—
1565C2×C4—432no—
1566C2×C4—432no—
1567C2×C4—431no—
1568C2×C4—431no—
1569C2×C4—431no—
1570C2×C4—431no—
1571C2×C4—862no—
1572C2×C4—862no—
1573C2×C4—862no—
1574C2×C4—861no—
1575C2×C4—861no—
1576C2×C4—861no—
1577C2×C4—861no—
1578C2×C4—861no—
1579C2×C4—861no—
1580C2×C4—861no—
1581C2×C4—861no—
1582C2×C4—861no—
1583C2×C4—861no—
1584C2×C4—861no—
1585C2×C4—3441no—
1586C2×C4—3441no—
1587C2×C4—3441no—
1588C2×C4—3441no—
1589C2×C4—3441no—
1590C2×C4—3441no—
1591C2×C4—3441no—
1592C2×C4—3441no—
1593C2×C4—3441no—
1594C2×C4—1722no—
1595C2×C4—1722no—
1596C2×C4C2×D4×D4311yescharacteristic
1597C2×C4C2×D4×D4311yescharacteristic
1598C2×C4C2×D4×D4311yescharacteristic
1599C2×C4C2×D4×D4311yescharacteristic
1600C2×C4C24×D4311yescharacteristic
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—432no—
1605C8—861no—
1606C8—861no—
1607C8—861no—
1608C8#41×D4312yes—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—432no—
1619C22—861no—
1620C22—861no—
1621C22—861no—
1622C22—861no—
1623C22—861no—
1624C22—861no—
1625C22—861no—
1626C22—861no—
1627C22—1724no—
1628C22—1721no—
1629C22—1721no—
1630C22—1721no—
1631C22C22×D4×D4311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—432no—
1644C4—861no—
1645C4—861no—
1646C4—861no—
1647C4—861no—
1648C4—1721no—
1649C4—1721no—
1650C4—1721no—
1651C4—1721no—
1652C4—1721no—
1653C4—1721no—
1654C4—1721no—
1655C4C2×#41×D4311yescharacteristic
1656C42−1+4×D4311yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—81no—
1660C2—862no—
1661C2—3441no—
1662C2—1721no—
1663C2—1721no—
1664C2#547×D4311yescharacteristic
1665C2#1914936411yescharacteristic
1666C2#1914936711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3337C2
socleC22×C43C23×D4
hypercenter#3337D43
hypocenterC43#61260
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3337

Complements

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

NH ≅ G/Ntype
1. #19148313C2semidirect
2. #19148311C2semidirect
3. #19147132C2semidirect
4. #19147125C2semidirect
5. #19147123C2semidirect
6. #19147118C2semidirect
7. #19147099C2semidirect
8. #19147098C2semidirect
9. #19147092C2semidirect
10. #19147089C2semidirect
11. #19147010C2semidirect
12. #19147009C2semidirect
13. #19147004C2semidirect
14. #19147003C2semidirect
15. #19146973C2semidirect
16. #19146970C2semidirect
17. #19146969C2semidirect
18. #19145124C2semidirect
19. #19144574C2semidirect
20. #19144568C2semidirect
21. #19144527C2semidirect
22. #19144523C2semidirect
23. #19144449C2semidirect
24. #19144447C2semidirect
25. #19144252C2semidirect
26. #19144171C2semidirect
27. #19143473C2semidirect
28. #19143284C2semidirect
29. #19143186C2semidirect
30. #427×D43C2semidirect
31. C43×#3337C2semidirect
78. #14583309C22semidirect
79. #14583309C22semidirect
80. #14583307C22semidirect
81. #14583307C22semidirect
82. #14583299C22semidirect
83. #14583297C22semidirect
84. #14583296C22semidirect
87. #14583242C22semidirect
89. #14583241C22semidirect
93. #14583238C22semidirect
95. #14583237C22semidirect
96. #14583236C22semidirect
97. #14583234C22semidirect
98. #14583233C22semidirect
100. #14583226C22semidirect
103. #14583224C22semidirect
106. #14583222C22semidirect
109. #14583220C22semidirect
110. #14583214C22semidirect
111. #14583212C22semidirect
112. #14583211C22semidirect
113. #14583209C22semidirect
114. #14583208C22semidirect
115. #14583203C22semidirect
116. #14583198C22semidirect
117. #14583197C22semidirect
118. #14583196C22semidirect
119. #14583195C22semidirect
120. #14583194C22semidirect
121. #14583193C22semidirect
122. #14583192C22semidirect
123. #14583180C22semidirect
124. #14583179C22semidirect
125. #14583178C22semidirect
126. #14583177C22semidirect
127. #14583156C22semidirect
128. #14583155C22semidirect
129. #14583151C22semidirect
130. #14583150C22semidirect
136. #14583129C22semidirect
138. #14583128C22semidirect
140. #14583125C22semidirect
141. #14583009C22semidirect
142. #14583008C22semidirect
143. #14583004C22semidirect
144. #14583003C22semidirect
145. C4×#10621873C22semidirect
146. SD16×Dic43C22semidirect
147. #14582986C22semidirect
157. #14582939C22semidirect
158. #14582939C22semidirect
161. #14582938C22semidirect
162. #14582938C22semidirect
164. #14582937C22semidirect
172. #14582934C22semidirect
177. #106×D43C22semidirect
190. C43×#499C22semidirect
192. C43×#484C22semidirect
194. C43×#480C22semidirect
195. C43×#479C22semidirect
196. C43×#478C22semidirect
198. C43×#465C22semidirect
199. C4×SD16×C43C22semidirect
202. C2×#106×C43C22semidirect
841. #3337D43semidirect
918. #499C2×D43semidirect
936. #484C2×D43semidirect
952. #480C2×D43semidirect
956. #479C2×D43semidirect
960. #478C2×D43semidirect
984. #465C2×D43semidirect
992. C4×SD16C2×D43semidirect
1025. C2×#106C2×D43semidirect
1036. C43#61260semidirect

Maximal subgroups

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

subgroupindex
#191483132
#191483112
#191471322
#191471252
#191471232
#191471182
#191470992
#191470982
#191470922
#191470892
#191470102
#191470092
#191470042
#191470032
#191469732
#191469702
#191469692
#191451242
#191445742
#191445682
#191445272
#191445232
#191444492
#191444472
#191442522
#191441712
#191434732
#191432842
#191431862
#427×D432
C43×#33372
#6126043