Finite Group Databasebeta

← #25979402

Subgroups — #25979402

Order 11008.

1770 conjugacy classes of subgroups.

The subgroup lattice has 1662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148586C211yesmaximal, characteristic, complemented
2#19148582C211yesmaximal, characteristic, complemented
3#19147671C211yesmaximal, characteristic, complemented
4#19147559C211yesmaximal, characteristic, complemented
5#19147285C211yesmaximal, characteristic, complemented
6#19147277C211yesmaximal, characteristic, complemented
7#19147165C211yesmaximal, characteristic, complemented
8#19147079C211yesmaximal, characteristic, complemented
9#19147075C211yesmaximal, characteristic, complemented
10#19146496C211yesmaximal, characteristic, complemented
11#19146492C211yesmaximal, characteristic, complemented
12#19146488C211yesmaximal, characteristic, complemented
13#19146477C211yesmaximal, characteristic, complemented
14#19146470C211yesmaximal, characteristic, complemented
15#19146466C211yesmaximal, characteristic, complemented
16#19146249C211yesmaximal, characteristic, complemented
17#19146172C211yesmaximal, characteristic, complemented
18#19146164C211yesmaximal, characteristic, complemented
19#19145267C211yesmaximal, characteristic, complemented
20#19145161C211yesmaximal, characteristic, complemented
21#19144894C211yesmaximal, characteristic, complemented
22#19144890C211yesmaximal, characteristic, complemented
23#19144861C211yesmaximal, characteristic, complemented
24#19144851C211yesmaximal, characteristic, complemented
25#19144770C211yesmaximal, characteristic, complemented
26#19144764C211yesmaximal, characteristic, complemented
27#19143566C211yesmaximal, characteristic, complemented
28#19143440C211yesmaximal, characteristic, complemented
29#19143431C211yesmaximal, characteristic, complemented
30C4×Q16×D43C211yesmaximal, characteristic, complemented
31C43×#3178C211yesmaximal, characteristic, complemented
32C2×#13063358C2211yescharacteristic
33C2×#13063354C2211yescharacteristic
34C2×Q16×D43C2211yescharacteristic
35#14583626C2211yescharacteristic
36#14583624C2211yescharacteristic
37#14583623C2211yescharacteristic
38#14583620—21no—
39#14583618C2211yescharacteristic
40#14583616—21no—
41#14583610C2211yescharacteristic
42#14583607C2211yescharacteristic
43#14583605—21no—
44#14583603—21no—
45#14583602C2211yescharacteristic
46#14583600—21no—
47#14583596C2211yescharacteristic
48#14583594—21no—
49#14583591C2211yescharacteristic
50#14583586—21no—
51#14583583C2211yescharacteristic
52#14583581—21no—
53#14583564C2211yescharacteristic
54#14583562C2211yescharacteristic
55#14583559C2211yescharacteristic
56#14583559C2211yescharacteristic
57#14583557C2211yescharacteristic
58#14583555C2211yescharacteristic
59#14583521C2211yescharacteristic
60#14583515—21no—
61#14583513—21no—
62#14583508—21no—
63#14583507C2211yescharacteristic
64#14583506—21no—
65#14583436C2211yescharacteristic
66#14583434—21no—
67#14583432—21no—
68#14583432—21no—
69#14583431C2211yescharacteristic
70#14583428—21no—
71#14583427C2211yescharacteristic
72#14583379C2211yescharacteristic
73#14583378C2211yescharacteristic
74#14583376C2211yescharacteristic
75#14583375C2211yescharacteristic
76C4×Q8×D43C2211yescharacteristic
77C4×Q8×D43C2211yescharacteristic
78#14583307C2211yescharacteristic
79#14583299C2211yescharacteristic
80#14583292C2211yescharacteristic
81#14583280C2211yescharacteristic
82#14583255C2211yescharacteristic
83#14583255C2211yescharacteristic
84#14583252C2211yescharacteristic
85#14583248C2211yescharacteristic
86#14583243C2211yescharacteristic
87#14583238C2211yescharacteristic
88#14583237C2211yescharacteristic
89#14583237C2211yescharacteristic
90#14583236C2211yescharacteristic
91#14583233C2211yescharacteristic
92#14583233C2211yescharacteristic
93#14583232C2211yescharacteristic
94#14583219C2211yescharacteristic
95#14583216C2211yescharacteristic
96#14583214C2211yescharacteristic
97#14583210C2211yescharacteristic
98#14583209C2211yescharacteristic
99#14583209C2211yescharacteristic
100#14583208C2211yescharacteristic
101#14583205C2211yescharacteristic
102#14583204C2211yescharacteristic
103#14583204C2211yescharacteristic
104#14583203C2211yescharacteristic
105#14583203C2211yescharacteristic
106#14583193C2211yescharacteristic
107#14583191C2211yescharacteristic
108#14583177C2211yescharacteristic
109#14583176C2211yescharacteristic
110#14583154C2211yescharacteristic
111#14583146C2211yescharacteristic
112#14583139C2211yescharacteristic
113#14583139C2211yescharacteristic
114#14583134C2211yescharacteristic
115#14583131C2211yescharacteristic
116#14583129C2211yescharacteristic
117#14583125C2211yescharacteristic
118#14583124C2211yescharacteristic
119#14583124C2211yescharacteristic
120#14583123C2211yescharacteristic
121#14583120C2211yescharacteristic
122#14583119C2211yescharacteristic
123#14583118C2211yescharacteristic
124#14583116C2211yescharacteristic
125#14583111C2211yescharacteristic
126#14583108C2211yescharacteristic
127#14583107C2211yescharacteristic
128#14583106C2211yescharacteristic
129#14583106C2211yescharacteristic
130#14583059C2211yescharacteristic
131#14583058C2211yescharacteristic
132#14583056C2211yescharacteristic
133#14583056C2211yescharacteristic
134#14583054C2211yescharacteristic
135#14583054C2211yescharacteristic
136#14583053C2211yescharacteristic
137#14583053C2211yescharacteristic
138#14583045C2211yescharacteristic
139#14583042C2211yescharacteristic
140#14583039C2211yescharacteristic
141#14583036C2211yescharacteristic
142#14583027C2211yescharacteristic
143C8×Dic86C2211yescharacteristic
144#14583007C2211yescharacteristic
145#14583007C2211yescharacteristic
146#14583005C2211yescharacteristic
147#14583004C2211yescharacteristic
148#14583004C2211yescharacteristic
149#14583001C2211yescharacteristic
150#14583001C2211yescharacteristic
151#14583000C2211yescharacteristic
152#14582999C2211yescharacteristic
153#14582997C2211yescharacteristic
154C4×Dic172C2211yescharacteristic
155C4×Dic172C2211yescharacteristic
156Q16×Dic43C2211yescharacteristic
157#14582993C2211yescharacteristic
158C4×#10621885C2211yescharacteristic
159C4×#10621885C2211yescharacteristic
160C4×#10621885C2211yescharacteristic
161#14582991C2211yescharacteristic
162#14582991C2211yescharacteristic
163#14582991C2211yescharacteristic
164#14582990C2211yescharacteristic
165C4×#10621873C2211yescharacteristic
166C4×#10621873C2211yescharacteristic
167C4×#10621882C2211yescharacteristic
168#14582975C2211yescharacteristic
169#14582972C2211yescharacteristic
170#14582968C2211yescharacteristic
171C8×D172C2211yescharacteristic
172C8×C22⋊D43C2211yescharacteristic
173C8×C22⋊D43C2211yescharacteristic
174#14582961C2211yescharacteristic
175#14582960C2211yescharacteristic
176#14582954C2211yescharacteristic
177#14582941C2211yescharacteristic
178#14582938C2211yescharacteristic
179#107×D43C2211yescharacteristic
180#14582896C2211yescharacteristic
181#14582892C2211yescharacteristic
182C2×#13063250C2211yescharacteristic
183#103×D43C2211yescharacteristic
184#103×D43C2211yescharacteristic
185#103×D43C2211yescharacteristic
186#14582853C2211yescharacteristic
187C4×C8×D43C2211yescharacteristic
188C43×#542C2211yescharacteristic
189C43×#541C2211yescharacteristic
190C43×#501C2211yescharacteristic
191C43×#497C2211yescharacteristic
192C43×#488C2211yescharacteristic
193C43×#487C2211yescharacteristic
194C43×#470C2211yescharacteristic
195C43×#468C2211yescharacteristic
196C43×#467C2211yescharacteristic
197C43×#465C2211yescharacteristic
198C43×#441C2211yescharacteristic
199C43×#440C2211yescharacteristic
200C4×Q16×C43C2211yescharacteristic
201C4×SD16×C43C2211yescharacteristic
202C43×#405C2211yescharacteristic
203C2×#10621898C2311yescharacteristic
204C2×#10621900C2311yescharacteristic
205C22×Dic86C2311yescharacteristic
206C2×Q8×D43C2311yescharacteristic
207C2×Q8×D43C2311yescharacteristic
208C2×Q8×D43C2311yescharacteristic
209#13063358—24no—
210#13063354—24no—
211C2×Dic172C2311yescharacteristic
212C2×Dic172C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621885C2311yescharacteristic
218Q16×D43—24no—
219C2×#10621873C2311yescharacteristic
220C2×#10621873C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621872C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226C2×C8×D43C2311yescharacteristic
227C2×C8×D43C2311yescharacteristic
228#13063324—21no—
229#13063324—21no—
230#13063324—21no—
231#13063324C2311yescharacteristic
232#13063323—21no—
233#13063323C2311yescharacteristic
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063320D411yescharacteristic
241#13063319—21no—
242#13063319—21no—
243#13063318—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318D411yescharacteristic
249#13063317—21no—
250#13063316—21no—
251#13063316—21no—
252#13063316C2311yescharacteristic
253#13063316C2311yescharacteristic
254#13063316C2311yescharacteristic
255#13063315—21no—
256#13063315—21no—
257#13063315—21no—
258#13063315—21no—
259#13063315—21no—
260#13063315—21no—
261#13063315—21no—
262#13063315D411yescharacteristic
263#13063314C2311yescharacteristic
264#13063314C2311yescharacteristic
265#13063313—21no—
266#13063312C2311yescharacteristic
267#13063311—21no—
268#13063311—21no—
269#13063311—21no—
270#13063311—21no—
271#13063311D411yescharacteristic
272#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063310D411yescharacteristic
276#13063309—21no—
277#13063307—21no—
278#13063307—21no—
279#13063307D411yescharacteristic
280#13063306—21no—
281#13063305—21no—
282#13063305—21no—
283#13063305C2311yescharacteristic
284#13063305C2311yescharacteristic
285#13063303—21no—
286#13063303—21no—
287#13063303—21no—
288#13063303—21no—
289#13063303—21no—
290#13063303—21no—
291#13063303D411yescharacteristic
292#13063302—21no—
293#13063302—21no—
294#13063302—21no—
295#13063302—21no—
296#13063302—21no—
297#13063301—21no—
298#13063301—21no—
299#13063301C2311yescharacteristic
300#13063301C2311yescharacteristic
301#13063301C2311yescharacteristic
302#13063300—21no—
303#13063300C2311yescharacteristic
304#13063300C2311yescharacteristic
305#13063298—21no—
306#13063298—21no—
307#13063298—21no—
308#13063298D411yescharacteristic
309#13063297—21no—
310#13063296—21no—
311#13063296C2311yescharacteristic
312Q8×Dic43—21no—
313Q8×Dic43C2311yescharacteristic
314Q8×Dic43C2311yescharacteristic
315Q8×Dic43C2311yescharacteristic
316C4×Dic86—21no—
317C4×Dic86—21no—
318C4×Dic86—21no—
319C4×Dic86C2311yescharacteristic
320C4×Dic86C2311yescharacteristic
321C4×Dic86C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323C4×Dic86C2311yescharacteristic
324C4×Dic86C2311yescharacteristic
325C4×Dic86C2311yescharacteristic
326#13063290—21no—
327#13063290—21no—
328#13063290—21no—
329#13063290—21no—
330#13063290—21no—
331#13063290—21no—
332#13063290C2311yescharacteristic
333#13063290C2311yescharacteristic
334#13063290C2311yescharacteristic
335#13063290C2311yescharacteristic
336C4×D172—21no—
337C4×D172C2311yescharacteristic
338C4×D172C2311yescharacteristic
339C4×D172C2311yescharacteristic
340D4×Dic43—21no—
341D4×Dic43C2311yescharacteristic
342#13063287—21no—
343#13063287—21no—
344#13063287—21no—
345#13063287—21no—
346#13063287—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349C4×C22⋊D43C2311yescharacteristic
350C4×C22⋊D43C2311yescharacteristic
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(C22⋊D43)⋊C4—21no—
358#13063284—21no—
359#13063284C2311yescharacteristic
360#13063283—21no—
361#13063283—21no—
362#13063283—21no—
363#13063283—21no—
364#13063283C2311yescharacteristic
365#13063282—21no—
366#13063282—21no—
367#13063282C2311yescharacteristic
368#13063281—21no—
369#13063281—21no—
370#13063281—21no—
371#13063281—21no—
372#13063281—21no—
373C2×C4⋊Dic43C2311yescharacteristic
374C2×Dic43⋊C4—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43—21no—
377C4⋊C4×D43—21no—
378C4⋊C4×D43C2311yescharacteristic
379C4⋊C4×D43C2311yescharacteristic
380C4⋊C4×D43C2311yescharacteristic
381C42×D43—21no—
382C42×D43—21no—
383C42×D43C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397C4⋊(C43⋊C8)C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427C22⋊(C43⋊C8)C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431(C2×D43)⋊C8C2311yescharacteristic
432#13063236C2311yescharacteristic
433#13063235C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×Q16×C43C2311yescharacteristic
439C2×Q16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×M16×C43C2311yescharacteristic
443C22×C8×C43C2311yescharacteristic
444C4⋊Q8×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446#126×C43—21no—
447#126×C43—21no—
448#126×C43—21no—
449#125×C43—21no—
450#125×C43—21no—
451#125×C43C2311yescharacteristic
452#124×C43—21no—
453#124×C43C2311yescharacteristic
454#123×C43—21no—
455C22⋊Q8×C43—21no—
456C22⋊Q8×C43C2311yescharacteristic
457C22⋊Q8×C43C2311yescharacteristic
458C22⋊Q8×C43C2311yescharacteristic
459#121×C43C2311yescharacteristic
460C4×Q8×C43C2311yescharacteristic
461C4×Q8×C43C2311yescharacteristic
462C4×Q8×C43C2311yescharacteristic
463C4×D4×C43C2311yescharacteristic
464#117×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#97×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479C4×C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C2×Q8×C43—21no—
482C2×Q8×C43C2411yescharacteristic
483C2×Q8×C43C2411yescharacteristic
484C2×Q8×C43C2411yescharacteristic
485C2×D4×C43—21no—
486C2×D4×C43C2411yescharacteristic
487C22×C4×C43—21no—
488C22×C4×C43C2411yescharacteristic
489C2×C22⋊D43—21no—
490C2×C22⋊D43—21no—
491C2×C22⋊D43—21no—
492C2×C22⋊D43C2×D411yescharacteristic
493C2×C22⋊D43C2×D411yescharacteristic
494C22×Dic43—21no—
495C22×Dic43—21no—
496C22×Dic43—21no—
497C22×Dic43—21no—
498Q8×D43—22no—
499Q8×D43—22no—
500Q8×D43—22no—
501Q8×D43—41no—
502Q8×D43—41no—
503Q8×D43—41no—
504#10621900—22no—
505#10621900—41no—
506#10621898—22no—
507#10621898—41no—
508C2×D172—21no—
509C2×D172—21no—
510C2×D172C2×D411yescharacteristic
511C2×D172C2411yescharacteristic
512C2×C4×D43—21no—
513C2×C4×D43—21no—
514C2×C4×D43—21no—
515C2×C4×D43—21no—
516C2×C4×D43—21no—
517C2×C4×D43—21no—
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43C2×D411yescharacteristic
522C2×C4×D43C2×D411yescharacteristic
523C2×C4×D43C2411yescharacteristic
524C2×C4×D43C2411yescharacteristic
525C2×Dic86—22no—
526C2×Dic86—21no—
527C2×Dic86—21no—
528C2×Dic86—21no—
529C2×Dic86—21no—
530C2×Dic86—21no—
531C2×Dic86—41no—
532C2×Dic86C2×D411yescharacteristic
533C2×Dic86C2411yescharacteristic
534C2×Dic86C2411yescharacteristic
535C2×Dic86C2411yescharacteristic
536Q16×C43—22no—
537Q16×C43—41no—
538SD16×C43—22no—
539SD16×C43—41no—
540M16×C43—22no—
541C2×C8×C43—41no—
542C2×C8×C43C2411yescharacteristic
543C2×C8×C43C2411yescharacteristic
544C2×C8×C43C2411yescharacteristic
545C2×C8×C43C2411yescharacteristic
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×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43C2×D411yescharacteristic
558C4⋊C4×C43C2×D411yescharacteristic
559C4⋊C4×C43C2411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43C2×D411yescharacteristic
571C22⋊C4×C43C2×D411yescharacteristic
572C42×C43—21no—
573C42×C43—21no—
574C42×C43—21no—
575C42×C43C2411yescharacteristic
576C42×C43C2411yescharacteristic
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43C2×D411yescharacteristic
583C22⋊Dic43C2×D411yescharacteristic
584#10621885—22no—
585#10621885—22no—
586#10621885—22no—
587#10621885—41no—
588#10621885—41no—
589#10621884—41no—
590#10621883—22no—
591#10621882—41no—
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)⋊C4—21no—
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
611(C2×D43)⋊C4C2×D411yescharacteristic
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43—21no—
620C4⋊Dic43—21no—
621C4⋊Dic43C2×D411yescharacteristic
622C4⋊Dic43C2×D411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625C4⋊Dic43C2411yescharacteristic
626C4⋊Dic43C2411yescharacteristic
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
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×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43C2×D411yescharacteristic
671C4×Dic43C2×D411yescharacteristic
672C4×Dic43C2411yescharacteristic
673C4×Dic43C2411yescharacteristic
674C2×C43⋊C8C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678Dic172—22no—
679Dic172#4114yes—
680#10621873—22no—
681#10621873—22no—
682#10621872—22no—
683C8×D43—22no—
684C8×D43—41no—
685C8×D43—41no—
686C23×C43—21no—
687C23×C43C22×D411yescharacteristic
688C22×D43—21no—
689C22×D43C22×D411yescharacteristic
690C22×D43C22×D411yescharacteristic
691Q8×C43—21no—
692Q8×C43—21no—
693Q8×C43—21no—
694Q8×C43—21no—
695Q8×C43—21no—
696Q8×C43—21no—
697Q8×C43—81no—
698D4×C43—21no—
699D4×C43—21no—
700D4×C43—81no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
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—81no—
711C2×C4×C43C22×D411yescharacteristic
712C2×C4×C43C22×D411yescharacteristic
713C2×C4×C43C22×D411yescharacteristic
714C2×C4×C43C22×D411yescharacteristic
715C2×C4×C43C22×D411yescharacteristic
716C2×C4×C43C2511yescharacteristic
717C22⋊D43—22no—
718C22⋊D43—41no—
719C22⋊D43—42no—
720C22⋊D43—42no—
721C22⋊D43—42no—
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—42no—
731C2×Dic43—81no—
732C2×Dic43—81no—
733C2×Dic43C22×D411yescharacteristic
734C2×Dic43C22×D411yescharacteristic
735C2×Dic43C22×D411yescharacteristic
736C2×Dic43C22×D411yescharacteristic
737C2×Dic43C22×D411yescharacteristic
738C2×Dic43C22×D411yescharacteristic
739D172—22no—
740D172—21no—
741D172—21no—
742D172—42no—
743D172—81no—
744C4×D43—22no—
745C4×D43—21no—
746C4×D43—21no—
747C4×D43—21no—
748C4×D43—21no—
749C4×D43—41no—
750C4×D43—42no—
751C4×D43—42no—
752C4×D43—42no—
753C4×D43—42no—
754C4×D43—81no—
755C4×D43—81no—
756C4×D43—81no—
757C4×D43—81no—
758C4×D43—81no—
759Dic86—21no—
760Dic86—21no—
761Dic86—21no—
762Dic86—21no—
763Dic86—41no—
764Dic86—42no—
765Dic86—42no—
766Dic86—42no—
767Dic86—42no—
768Dic86—81no—
769Dic86C2×#4112yes—
770Dic86C2×#4112yes—
771C8×C43—21no—
772C8×C43—21no—
773C8×C43—21no—
774C8×C43C2×#4112yes—
775C43⋊C8—21no—
776C43⋊C8—21no—
777C43⋊C8—21no—
778C43⋊C8—21no—
779#61491—431nomaximal, Sylow
780C22×C43—21no—
781C22×C43—21no—
782C22×C43—21no—
783C22×C43—41no—
784C22×C43—41no—
785C22×C43—41no—
786C22×C43C23×D411yescharacteristic
787C2×D43—21no—
788C2×D43—21no—
789C2×D43—21no—
790C2×D43—21no—
791C2×D43—21no—
792C2×D43—41no—
793C2×D43—41no—
794C2×D43—41no—
795C2×D43#57812yes—
796C4×C43—21no—
797C4×C43—21no—
798C4×C43—21no—
799C4×C43—21no—
800C4×C43—21no—
801C4×C43—41no—
802C4×C43—41no—
803C4×C43—41no—
804C4×C43—41no—
805C4×C43—41no—
806C4×C43—41no—
807C4×C43—41no—
808C4×C43C22×#4111yescharacteristic
809C4×C43#58511yescharacteristic
810Dic43—21no—
811Dic43—21no—
812Dic43—22no—
813Dic43—22no—
814Dic43—21no—
815Dic43—21no—
816Dic43—21no—
817Dic43—21no—
818Dic43—41no—
819Dic43—41no—
820Dic43—41no—
821Dic43—41no—
822Dic43—41no—
823#3516—431no—
824#3516—431no—
825#3402—431no—
826#3390—431no—
827#3364—431no—
828#3364—431no—
829#3352—431no—
830#3346—431no—
831#3346—431no—
832#3301—431no—
833#3301—431no—
834#3300—431no—
835#3300—431no—
836#3299—431no—
837#3299—431no—
838#3277—431no—
839#3270—431no—
840#3270—431no—
841#3178—431no—
842#3178D4311yescharacteristic, complemented
843#3168—431no—
844#3127—431no—
845#3127—431no—
846#3124—431no—
847#3124—431no—
848#3117—431no—
849#3117—431no—
850#2966—431no—
851#2947—431no—
852#2947—431no—
853C2×C4×Q16—431no—
854C2×C43—41no—
855C2×C43—81no—
856C2×C43D4×#4111yescharacteristic
857C2×C43C2×#57811yescharacteristic
858C2×C43#358411yescharacteristic
859D43—22no—
860D43—41no—
861D43—81no—
862C2×#137—431no—
863C2×#137—431no—
864C22×Q16—431no—
865#557—431no—
866#557—431no—
867#556—431no—
868#556—431no—
869#556—861no—
870#556—861no—
871#554—431no—
872#554—431no—
873#554—861no—
874#554—861no—
875#553—431no—
876#553—431no—
877#553—861no—
878#553—861no—
879#552—431no—
880#552—431no—
881#552—861no—
882#552—861no—
883D4×Q8—431no—
884D4×Q8—431no—
885#548—431no—
886#548—431no—
887#548—431no—
888#548—431no—
889#542—431no—
890#542—861no—
891#542—861no—
892#542C2×D4311yescharacteristic
893#541—431no—
894#541—861no—
895#541—861no—
896#541C2×D4311yescharacteristic
897#529—431no—
898#529—431no—
899#529—431no—
900#529—861no—
901#529—861no—
902#529—861no—
903#529—861no—
904#520—431no—
905#520—431no—
906#519—431no—
907#519—431no—
908C2×C4×Q8—431no—
909C2×C4×Q8—431no—
910#501—431no—
911#501C2×D4311yescharacteristic
912#499—431no—
913#497—431no—
914#497C2×D4311yescharacteristic
915#495—431no—
916#488—431no—
917#488—431no—
918#488—431no—
919#488C2×D4311yescharacteristic
920#487—431no—
921#487C2×D4311yescharacteristic
922#485—431no—
923#485—431no—
924#485—431no—
925#485—431no—
926#484—431no—
927#484—431no—
928#484—431no—
929#484—431no—
930#481—431no—
931#481—431no—
932#480—431no—
933#480—431no—
934#479—431no—
935#479—431no—
936#479—431no—
937#479—431no—
938#479—431no—
939#479—431no—
940#479—431no—
941#479—431no—
942#477—431no—
943#477—431no—
944#474—431no—
945#474—431no—
946#470—431no—
947#470C2×D4311yescharacteristic
948#468—431no—
949#468C2×D4311yescharacteristic
950#467—431no—
951#467—431no—
952#467C2×D4311yescharacteristic
953#466—431no—
954#465—431no—
955#465—431no—
956#465—431no—
957#465C2×D4311yescharacteristic
958#464—431no—
959#464—431no—
960#464—431no—
961#464—431no—
962#464—431no—
963#464—431no—
964#463—431no—
965#463—431no—
966#462—431no—
967#462—431no—
968#462—431no—
969#462—431no—
970#452—431no—
971#452—431no—
972#451—431no—
973#451—431no—
974#451—431no—
975#451—431no—
976#451—431no—
977#451—431no—
978#449—431no—
979#449—431no—
980#448—431no—
981#448—431no—
982#446—431no—
983C8×Q8—431no—
984#441—431no—
985#441—431no—
986#441—431no—
987#441—431no—
988#441—431no—
989#441C2×D4311yescharacteristic
990#440—431no—
991#440—431no—
992#440—431no—
993#440—431no—
994#440—431no—
995#440C2×D4311yescharacteristic
996C4×Q16—431no—
997C4×Q16—431no—
998C4×Q16—431no—
999C4×Q16—431no—
1000C4×Q16—431no—
1001C4×Q16—431no—
1002C4×Q16—431no—
1003C4×Q16—431no—
1004C4×Q16—431no—
1005C4×Q16—431no—
1006C4×Q16C2×D4311yescharacteristic
1007C4×SD16—431no—
1008C4×SD16—431no—
1009C4×SD16—431no—
1010C4×SD16C2×D4311yescharacteristic
1011C4×D8—431no—
1012#436—431no—
1013#435—431no—
1014#435—431no—
1015C8×D4—431no—
1016C8×D4—431no—
1017C8×D4—431no—
1018#433—431no—
1019#433—431no—
1020#432—431no—
1021#428—431no—
1022#428—431no—
1023C2×#107—431no—
1024#416—431no—
1025#416—431no—
1026C2×#103—431no—
1027C2×#103—431no—
1028C2×#103—431no—
1029C2×#103—431no—
1030#405—431no—
1031#405C2×D4311yescharacteristic
1032C2×C4×C8—431no—
1033C43#6149111yescharacteristic, complemented, Sylow
1034C2×#41—431no—
1035C2×#41—431no—
1036C22×Q8—431no—
1037C22×Q8—431no—
1038C22×Q8—431no—
1039C22×Q8—431no—
1040#137—864no—
1041#137—864no—
1042C2×Q16—431no—
1043C2×Q16—431no—
1044C2×Q16—431no—
1045C2×Q16—431no—
1046C2×Q16—431no—
1047C2×Q16—431no—
1048C2×Q16—431no—
1049C2×Q16—864no—
1050C2×Q16C22×D4311yescharacteristic
1051C2×Q16C22×D4311yescharacteristic
1052C2×SD16—431no—
1053C2×SD16—431no—
1054C2×SD16—431no—
1055C2×SD16—431no—
1056C2×SD16C22×D4311yescharacteristic
1057C2×SD16C22×D4311yescharacteristic
1058C2×D8—431no—
1059C2×M16—431no—
1060C2×M16C22×D4311yescharacteristic
1061C22×C8—431no—
1062C22×C8—431no—
1063C22×C8—431no—
1064C22×C8C22×D4311yescharacteristic
1065C4⋊Q8—431no—
1066C4⋊Q8—431no—
1067C4⋊Q8—861no—
1068C4⋊Q8—861no—
1069C4⋊Q8—861no—
1070C4⋊Q8—861no—
1071C4⋊Q8C22×D4311yescharacteristic
1072C4⋊Q8C22×D4311yescharacteristic
1073#126—21no—
1074#126—21no—
1075#126—21no—
1076#126—431no—
1077#126—431no—
1078#126—861no—
1079#126—861no—
1080#126—861no—
1081#126—861no—
1082#126—861no—
1083#126—861no—
1084#126—861no—
1085#126—861no—
1086#126—861no—
1087#126—861no—
1088#126—861no—
1089#126—861no—
1090#126—861no—
1091#125—21no—
1092#125—21no—
1093#125—431no—
1094#125—431no—
1095#125—431no—
1096#125—431no—
1097#125—861no—
1098#125—861no—
1099#125—861no—
1100#125—861no—
1101#125—861no—
1102#125—861no—
1103#125—861no—
1104#125—861no—
1105#125—861no—
1106#125—861no—
1107#125C22×D4311yescharacteristic
1108#124—21no—
1109#124—431no—
1110#124—431no—
1111#124—431no—
1112#124—431no—
1113#124—861no—
1114#124—861no—
1115#124—861no—
1116#124—861no—
1117#124—861no—
1118#124C22×D4311yescharacteristic
1119#123—21no—
1120#123—431no—
1121#123—431no—
1122#123—861no—
1123#123—861no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127#123—861no—
1128#123—861no—
1129C22⋊Q8—21no—
1130C22⋊Q8—431no—
1131C22⋊Q8—431no—
1132C22⋊Q8—431no—
1133C22⋊Q8—431no—
1134C22⋊Q8—431no—
1135C22⋊Q8—431no—
1136C22⋊Q8—861no—
1137C22⋊Q8—861no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
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⋊Q8C22×D4311yescharacteristic
1152C22⋊Q8C22×D4311yescharacteristic
1153C22⋊Q8C22×D4311yescharacteristic
1154#121—431no—
1155#121—431no—
1156#121—431no—
1157#121—431no—
1158#121—861no—
1159#121—861no—
1160#121—861no—
1161#121—861no—
1162#121—861no—
1163#121—861no—
1164#121C22×D4311yescharacteristic
1165C4×Q8—431no—
1166C4×Q8—431no—
1167C4×Q8—431no—
1168C4×Q8—431no—
1169C4×Q8—431no—
1170C4×Q8—431no—
1171C4×Q8—431no—
1172C4×Q8—431no—
1173C4×Q8—431no—
1174C4×Q8—431no—
1175C4×Q8—431no—
1176C4×Q8—431no—
1177C4×Q8—431no—
1178C4×Q8—431no—
1179C4×Q8—861no—
1180C4×Q8—861no—
1181C4×Q8—861no—
1182C4×Q8—861no—
1183C4×Q8—861no—
1184C4×Q8—861no—
1185C4×Q8—861no—
1186C4×Q8—861no—
1187C4×Q8—861no—
1188C4×Q8—861no—
1189C4×Q8C22×D4311yescharacteristic
1190C4×Q8C22×D4311yescharacteristic
1191C4×Q8C22×D4311yescharacteristic
1192C4×D4—431no—
1193C4×D4—431no—
1194C4×D4—431no—
1195C4×D4—431no—
1196C4×D4—431no—
1197C4×D4—431no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4—861no—
1202C4×D4—861no—
1203C4×D4—861no—
1204C4×D4—861no—
1205C4×D4—861no—
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×D4C22×D4311yescharacteristic
1215#117—431no—
1216#117—431no—
1217#117—431no—
1218#117—861no—
1219#117—861no—
1220#117—861no—
1221#117—861no—
1222#117—861no—
1223#117—861no—
1224#117—861no—
1225#117—861no—
1226#117—861no—
1227#117—861no—
1228#117—861no—
1229#117—861no—
1230#117C22×D4311yescharacteristic
1231C2×C4⋊C4—431no—
1232C2×C4⋊C4—431no—
1233C2×C4⋊C4—431no—
1234C2×C4⋊C4—431no—
1235C2×C4⋊C4—861no—
1236C2×C4⋊C4—861no—
1237C2×C4⋊C4—861no—
1238C2×C4⋊C4—861no—
1239C2×C42—431no—
1240C2×C42—861no—
1241C2×C42—861no—
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#107C22×D4311yescharacteristic
1251#107C22×D4311yescharacteristic
1252#106—431no—
1253#106—431no—
1254#106—431no—
1255#106—431no—
1256#106C22×D4311yescharacteristic
1257#106C22×D4311yescharacteristic
1258C4⋊C8—431no—
1259C4⋊C8—431no—
1260C4⋊C8—431no—
1261C4⋊C8—431no—
1262C4⋊C8—431no—
1263C4⋊C8—431no—
1264#103—431no—
1265#103—431no—
1266#103—431no—
1267#103—431no—
1268#103—431no—
1269#103—431no—
1270#103—431no—
1271#103—431no—
1272#103—431no—
1273#103—431no—
1274#103—431no—
1275#103—431no—
1276#103—431no—
1277#103—431no—
1278#103—431no—
1279#103—431no—
1280#103—431no—
1281#103—431no—
1282#103C22×D4311yescharacteristic
1283#103C22×D4311yescharacteristic
1284#103C22×D4311yescharacteristic
1285#103C22×D4311yescharacteristic
1286#103C22×D4311yescharacteristic
1287#103C22×D4311yescharacteristic
1288#102—431no—
1289#102—431no—
1290#102—431no—
1291#102—431no—
1292#102—431no—
1293#102—431no—
1294#102C22×D4311yescharacteristic
1295#102C22×D4311yescharacteristic
1296C22⋊C8—431no—
1297C22⋊C8—431no—
1298C22⋊C8—431no—
1299C22⋊C8—431no—
1300C22⋊C8—431no—
1301C22⋊C8—431no—
1302#97—431no—
1303#97—431no—
1304#97C22×D4311yescharacteristic
1305#97C22×D4311yescharacteristic
1306C4×C8—431no—
1307C4×C8—431no—
1308C4×C8—431no—
1309C4×C8—431no—
1310C4×C8C22×D4311yescharacteristic
1311C4×C8C22×D4311yescharacteristic
1312#41—862no—
1313#41—862no—
1314#41—1721no—
1315#41—1721no—
1316C2×Q8—21no—
1317C2×Q8—431no—
1318C2×Q8—431no—
1319C2×Q8—431no—
1320C2×Q8—431no—
1321C2×Q8—861no—
1322C2×Q8—861no—
1323C2×Q8—861no—
1324C2×Q8—861no—
1325C2×Q8—862no—
1326C2×Q8—861no—
1327C2×Q8—862no—
1328C2×Q8—862no—
1329C2×Q8—862no—
1330C2×Q8—1721no—
1331C2×Q8—1721no—
1332C2×Q8—1721no—
1333C2×Q8—1721no—
1334C2×Q8C23×D4311yescharacteristic
1335C2×Q8C23×D4311yescharacteristic
1336C2×Q8C23×D4311yescharacteristic
1337C2×D4—21no—
1338C2×D4—431no—
1339C2×D4—431no—
1340C2×D4—431no—
1341C2×D4—431no—
1342C2×D4—861no—
1343C2×D4—861no—
1344C2×D4—861no—
1345C2×D4—861no—
1346C2×D4—861no—
1347C2×D4C23×D4311yescharacteristic
1348C22×C4—21no—
1349C22×C4—431no—
1350C22×C4—431no—
1351C22×C4—431no—
1352C22×C4—431no—
1353C22×C4—861no—
1354C22×C4—861no—
1355C22×C4—861no—
1356C22×C4—861no—
1357C22×C4—861no—
1358C22×C4—861no—
1359C22×C4—861no—
1360C22×C4—861no—
1361C22×C4—861no—
1362C22×C4—861no—
1363C22×C4—861no—
1364C22×C4—861no—
1365C22×C4—861no—
1366C22×C4C23×D4311yescharacteristic
1367Q16—22no—
1368Q16—41no—
1369Q16—434no—
1370Q16—862no—
1371Q16—862no—
1372Q16—862no—
1373Q16—862no—
1374Q16—1721no—
1375Q16—1721no—
1376SD16—22no—
1377SD16—41no—
1378SD16—862no—
1379SD16—862no—
1380SD16—862no—
1381SD16—1721no—
1382D8—1721no—
1383M16—22no—
1384M16—862no—
1385C2×C8—41no—
1386C2×C8—431no—
1387C2×C8—431no—
1388C2×C8—431no—
1389C2×C8—431no—
1390C2×C8—862no—
1391C2×C8—1721no—
1392C2×C8—1721no—
1393C2×C8C23×D4311yescharacteristic
1394C2×C8C23×D4311yescharacteristic
1395C2×C8C23×D4311yescharacteristic
1396C2×C8C23×D4311yescharacteristic
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—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
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—431no—
1417C4⋊C4—431no—
1418C4⋊C4—431no—
1419C4⋊C4—431no—
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⋊C4—861no—
1440C4⋊C4—861no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4D4×D4311yescharacteristic
1452C4⋊C4D4×D4311yescharacteristic
1453C4⋊C4C23×D4311yescharacteristic
1454C4⋊C4C23×D4311yescharacteristic
1455C4⋊C4C23×D4311yescharacteristic
1456C4⋊C4C23×D4311yescharacteristic
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—431no—
1465C22⋊C4—431no—
1466C22⋊C4—431no—
1467C22⋊C4—431no—
1468C22⋊C4—431no—
1469C22⋊C4—431no—
1470C22⋊C4—431no—
1471C22⋊C4—431no—
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⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4D4×D4311yescharacteristic
1492C22⋊C4D4×D4311yescharacteristic
1493C42—21no—
1494C42—21no—
1495C42—21no—
1496C42—431no—
1497C42—431no—
1498C42—431no—
1499C42—431no—
1500C42—861no—
1501C42—861no—
1502C42—861no—
1503C42—861no—
1504C42—861no—
1505C42—861no—
1506C42—861no—
1507C42—861no—
1508C42—861no—
1509C42—861no—
1510C42—861no—
1511C42—861no—
1512C42—861no—
1513C42—861no—
1514C42—861no—
1515C42C23×D4311yescharacteristic
1516C42C23×D4311yescharacteristic
1517C23—21no—
1518C23—431no—
1519C23—431no—
1520C23—861no—
1521C23C2×D4×D4311yescharacteristic
1522Q8—21no—
1523Q8—21no—
1524Q8—21no—
1525Q8—21no—
1526Q8—21no—
1527Q8—21no—
1528Q8—81no—
1529Q8—432no—
1530Q8—432no—
1531Q8—861no—
1532Q8—861no—
1533Q8—861no—
1534Q8—861no—
1535Q8—3441no—
1536Q8—1721no—
1537Q8—1722no—
1538Q8—1722no—
1539Q8—1722no—
1540Q8—1722no—
1541D4—21no—
1542D4—21no—
1543D4—81no—
1544D4—862no—
1545D4—862no—
1546D4—861no—
1547D4—861no—
1548D4—3441no—
1549D4—1722no—
1550D4—1721no—
1551D4—1722no—
1552D4—1722no—
1553D4—1722no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—81no—
1564C2×C4—431no—
1565C2×C4—431no—
1566C2×C4—431no—
1567C2×C4—431no—
1568C2×C4—431no—
1569C2×C4—431no—
1570C2×C4—862no—
1571C2×C4—861no—
1572C2×C4—861no—
1573C2×C4—861no—
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—3441no—
1583C2×C4—3441no—
1584C2×C4—3441no—
1585C2×C4—3441no—
1586C2×C4—3441no—
1587C2×C4—3441no—
1588C2×C4—3441no—
1589C2×C4—1721no—
1590C2×C4—1722no—
1591C2×C4—1722no—
1592C2×C4—1722no—
1593C2×C4—1722no—
1594C2×C4—1722no—
1595C2×C4—1722no—
1596C2×C4C2×D4×D4311yescharacteristic
1597C2×C4C2×D4×D4311yescharacteristic
1598C2×C4C2×D4×D4311yescharacteristic
1599C2×C4C2×D4×D4311yescharacteristic
1600C2×C4C2×D4×D4311yescharacteristic
1601C2×C4C24×D4311yescharacteristic
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—861no—
1606C8—861no—
1607C8—861no—
1608C8—861no—
1609C8#41×D4312yes—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—432no—
1617C22—861no—
1618C22—861no—
1619C22—861no—
1620C22—861no—
1621C22—861no—
1622C22—1721no—
1623C22—1721no—
1624C22—1721no—
1625C22C22×D4×D4311yescharacteristic
1626C4—21no—
1627C4—21no—
1628C4—21no—
1629C4—21no—
1630C4—21no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—861no—
1639C4—861no—
1640C4—861no—
1641C4—861no—
1642C4—862no—
1643C4—862no—
1644C4—861no—
1645C4—861no—
1646C4—1721no—
1647C4—1721no—
1648C4—1721no—
1649C4—1721no—
1650C4—1721no—
1651C4C2×#41×D4311yescharacteristic
1652C4#1458373511yescharacteristic
1653C2—41no—
1654C2—81no—
1655C2—862no—
1656C2—3441no—
1657C2—1721no—
1658C2#1914808111yescharacteristic
1659C2#578×D4311yescharacteristic
1660C2#1914936711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3178C2
socleC22×C43C23×D4
hypercenter#3178D43
hypocenterC43#61491
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3178

Complements

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

NH ≅ G/Ntype
1. #19148586C2semidirect
2. #19148582C2semidirect
3. #19147671C2semidirect
4. #19147559C2semidirect
5. #19147285C2semidirect
6. #19147277C2semidirect
7. #19147165C2semidirect
8. #19147079C2semidirect
9. #19147075C2semidirect
10. #19146496C2semidirect
11. #19146492C2semidirect
12. #19146488C2semidirect
13. #19146477C2semidirect
14. #19146470C2semidirect
15. #19146466C2semidirect
16. #19146249C2semidirect
17. #19146172C2semidirect
18. #19146164C2semidirect
19. #19145267C2semidirect
20. #19145161C2semidirect
21. #19144894C2semidirect
22. #19144890C2semidirect
23. #19144861C2semidirect
24. #19144851C2semidirect
25. #19144770C2semidirect
26. #19144764C2semidirect
27. #19143566C2semidirect
28. #19143440C2semidirect
29. #19143431C2semidirect
30. C4×Q16×D43C2semidirect
31. C43×#3178C2semidirect
842. #3178D43semidirect
1033. C43#61491semidirect

Maximal subgroups

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

subgroupindex
#191485862
#191485822
#191476712
#191475592
#191472852
#191472772
#191471652
#191470792
#191470752
#191464962
#191464922
#191464882
#191464772
#191464702
#191464662
#191462492
#191461722
#191461642
#191452672
#191451612
#191448942
#191448902
#191448612
#191448512
#191447702
#191447642
#191435662
#191434402
#191434312
C4×Q16×D432
C43×#31782
#6149143