Finite Group Databasebeta

← #32882988

Subgroups — #32882988

Order 18176.

2290 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22602663C211yesmaximal, characteristic, complemented
2#22601968C211yesmaximal, characteristic, complemented
3#22600537C211yesmaximal, characteristic, complemented
4#22600490C211yesmaximal, characteristic, complemented
5#22600484C211yesmaximal, characteristic, complemented
6#22600362C211yesmaximal, characteristic, complemented
7#22600298C211yesmaximal, characteristic, complemented
8#22600178C211yesmaximal, characteristic, complemented
9#22600152C211yesmaximal, characteristic, complemented
10#22600026C211yesmaximal, characteristic, complemented
11#22600010C211yesmaximal, characteristic, complemented
12#22599957C211yesmaximal, characteristic, complemented
13#22599952C211yesmaximal, characteristic, complemented
14#22599878C211yesmaximal, characteristic, complemented
15#22599827C211yesmaximal, characteristic, complemented
16#22599816C211yesmaximal, characteristic, complemented
17#22599815C211yesmaximal, characteristic, complemented
18#22599437C211yesmaximal, characteristic, complemented
19#22599389C211yesmaximal, characteristic, complemented
20#22599204C211yesmaximal, characteristic, complemented
21#22599187C211yesmaximal, characteristic, complemented
22#22599149C211yesmaximal, characteristic, complemented
23#22599131C211yesmaximal, characteristic, complemented
24#22598580C211yesmaximal, characteristic, complemented
25#22598529C211yesmaximal, characteristic, complemented
26#22597639C211yesmaximal, characteristic, complemented
27#22597609C211yesmaximal, characteristic, complemented
28#22597569C211yesmaximal, characteristic, complemented
29#447×D71C211yesmaximal, characteristic, complemented
30#22597384C211yesmaximal, characteristic, complemented
31C71×#3325C211yesmaximal, characteristic, complemented
32C2×#14556173C2211yescharacteristic, complemented
33C22×D4×D71C2211yescharacteristic, complemented
34C2×#14556156C2211yescharacteristic, complemented
35C2×#14556156C2211yescharacteristic, complemented
36C2×#14556154C2211yescharacteristic, complemented
37C2×#14556152C2211yescharacteristic, complemented
38C2×#14556147C2211yescharacteristic, complemented
39C22×#11765850C2211yescharacteristic, complemented
40C2×D8×D71C2211yescharacteristic, complemented
41C2×D8×D71C2211yescharacteristic, complemented
42#17986743—21no—
43#17986737—21no—
44#17986693C2211yescharacteristic, complemented
45#17986688C2211yescharacteristic, complemented
46#17986673—21no—
47#17986667C2211yescharacteristic, complemented
48#17986652C2211yescharacteristic, complemented
49#17986646C2211yescharacteristic
50#17986645C2211yescharacteristic, complemented
51#17986645C2211yescharacteristic, complemented
52#17986644C2211yescharacteristic, complemented
53#17986644C2211yescharacteristic, complemented
54#17986643C2211yescharacteristic, complemented
55#17986642—21no—
56#17986638—21no—
57#17986636—21no—
58#17986634C2211yescharacteristic, complemented
59#17986633C2211yescharacteristic, complemented
60#17986633C2211yescharacteristic, complemented
61D4×C22⋊D71—21no—
62D4×C22⋊D71C2211yescharacteristic
63#17986631—21no—
64#17986623C2211yescharacteristic, complemented
65#17986604—21no—
66#17986600C2211yescharacteristic, complemented
67#17986583—21no—
68#17986578C2211yescharacteristic, complemented
69#17986568C2211yescharacteristic, complemented
70#17986567—21no—
71#17986565C2211yescharacteristic, complemented
72#17986562C2211yescharacteristic, complemented
73#17986559—21no—
74#17986557—21no—
75#17986557—21no—
76#17986511C2211yescharacteristic, complemented
77#17986509C2211yescharacteristic, complemented
78#17986508C2211yescharacteristic
79#121×D71C2211yescharacteristic, complemented
80C2×#14556096—21no—
81#120×D71—21no—
82#17986471C2211yescharacteristic, complemented
83#17986387C2211yescharacteristic, complemented
84#17986386C2211yescharacteristic, complemented
85#17986383C2211yescharacteristic, complemented
86#17986374C2211yescharacteristic, complemented
87#17986362C2211yescharacteristic, complemented
88#17986361C2211yescharacteristic, complemented
89#17986352C2211yescharacteristic, complemented
90#17986343C2211yescharacteristic, complemented
91#17986340C2211yescharacteristic, complemented
92#17986331C2211yescharacteristic, complemented
93#17986326C2211yescharacteristic, complemented
94#17986325C2211yescharacteristic, complemented
95#17986323C2211yescharacteristic, complemented
96#17986321C2211yescharacteristic, complemented
97#17986319C2211yescharacteristic, complemented
98#17986311C2211yescharacteristic, complemented
99#17986311C2211yescharacteristic, complemented
100#17986302C2211yescharacteristic, complemented
101#17986297C2211yescharacteristic, complemented
102#17986276C2211yescharacteristic, complemented
103#17986253C2211yescharacteristic, complemented
104#17986251C2211yescharacteristic, complemented
105#17986250C2211yescharacteristic, complemented
106#17986245C2211yescharacteristic, complemented
107#17986245C2211yescharacteristic, complemented
108#17986243C2211yescharacteristic, complemented
109#17986241C2211yescharacteristic, complemented
110#17986236C2211yescharacteristic, complemented
111#17986234C2211yescharacteristic, complemented
112#17986234C2211yescharacteristic, complemented
113#17986233C2211yescharacteristic, complemented
114#17986229C2211yescharacteristic, complemented
115#17986227C2211yescharacteristic, complemented
116#17986226C2211yescharacteristic, complemented
117#17986220C2211yescharacteristic, complemented
118#17986215C2211yescharacteristic, complemented
119#17986215C2211yescharacteristic, complemented
120#17986214C2211yescharacteristic, complemented
121#17986214C2211yescharacteristic, complemented
122#17986213C2211yescharacteristic, complemented
123#17986198C2211yescharacteristic, complemented
124#17986193C2211yescharacteristic, complemented
125#17986193C2211yescharacteristic, complemented
126#17986192C2211yescharacteristic, complemented
127#17986191C2211yescharacteristic, complemented
128#17986163C2211yescharacteristic, complemented
129#17986163C2211yescharacteristic, complemented
130#17986162C2211yescharacteristic, complemented
131#17986151C2211yescharacteristic, complemented
132#17986151C2211yescharacteristic, complemented
133#17986151C2211yescharacteristic, complemented
134#17986151C2211yescharacteristic, complemented
135#17986151C2211yescharacteristic, complemented
136#17986150C2211yescharacteristic, complemented
137#17986145C2211yescharacteristic, complemented
138#17986145C2211yescharacteristic, complemented
139#17986145C2211yescharacteristic, complemented
140#17986145C2211yescharacteristic, complemented
141#17986145C2211yescharacteristic, complemented
142#17986142C2211yescharacteristic, complemented
143#17986142C2211yescharacteristic, complemented
144#17986141C2211yescharacteristic, complemented
145#17986141C2211yescharacteristic, complemented
146#17986135C2211yescharacteristic, complemented
147#17986135C2211yescharacteristic, complemented
148#17986134C2211yescharacteristic
149#17986134C2211yescharacteristic, complemented
150#17986134C2211yescharacteristic, complemented
151#17986134C2211yescharacteristic, complemented
152#17986134C2211yescharacteristic, complemented
153#17986134C2211yescharacteristic, complemented
154#17986134C2211yescharacteristic, complemented
155#17986134C2211yescharacteristic, complemented
156#17986133C2211yescharacteristic, complemented
157#17986132C2211yescharacteristic, complemented
158#17986132C2211yescharacteristic, complemented
159#17986131C2211yescharacteristic, complemented
160#17986131C2211yescharacteristic, complemented
161#17986131C2211yescharacteristic, complemented
162#17986110C2211yescharacteristic, complemented
163#17986109C2211yescharacteristic, complemented
164#17986109C2211yescharacteristic, complemented
165#17986096C2211yescharacteristic, complemented
166#17986086C2211yescharacteristic, complemented
167C4×D568C2211yescharacteristic, complemented
168#17986079C2211yescharacteristic, complemented
169#17986075C2211yescharacteristic, complemented
170#17986073C2211yescharacteristic, complemented
171#17986071C2211yescharacteristic, complemented
172#17986069C2211yescharacteristic, complemented
173#17986068C2211yescharacteristic, complemented
174C8×D284C2211yescharacteristic, complemented
175(C22⋊D71)⋊C8C2211yescharacteristic, complemented
176#17986059C2211yescharacteristic, complemented
177#17986058C2211yescharacteristic, complemented
178#17986003C2211yescharacteristic, complemented
179#17985997C2211yescharacteristic, complemented
180#17985993C2211yescharacteristic, complemented
181#102×D71C2211yescharacteristic, complemented
182#102×D71C2211yescharacteristic, complemented
183#102×D71C2211yescharacteristic, complemented
184#17985967C2211yescharacteristic, complemented
185#17985964C2211yescharacteristic, complemented
186#17985962C2211yescharacteristic, complemented
187C22⋊C8×D71C2211yescharacteristic, complemented
188#555×C71C2211yescharacteristic, complemented
189D42×C71C2211yescharacteristic, complemented
190#486×C71C2211yescharacteristic, complemented
191#482×C71C2211yescharacteristic, complemented
192#482×C71C2211yescharacteristic, complemented
193#476×C71C2211yescharacteristic, complemented
194#469×C71C2211yescharacteristic, complemented
195#469×C71C2211yescharacteristic, complemented
196#459×C71C2211yescharacteristic, complemented
197#447×C71C2211yescharacteristic, complemented
198#447×C71C2211yescharacteristic, complemented
199C4×D8×C71C2211yescharacteristic, complemented
200#436×C71C2211yescharacteristic, complemented
201#418×C71C2211yescharacteristic, complemented
202#418×C71C2211yescharacteristic, complemented
203C24×D71—21no—
204#14556173—42no—
205#14556173—42no—
206C2×#11765866—21no—
207C2×#11765865C2311yescharacteristic
208C2×#11765865C2311yescharacteristic
209C2×#11765865C2311yescharacteristic
210C2×#11765864—21no—
211C2×#11765864C2311yescharacteristic
212C2×#11765864C2311yescharacteristic
213C2×#11765864C2311yescharacteristic, complemented
214C22×D284C2311yescharacteristic
215C22×D284C2311yescharacteristic, complemented
216C22×C22⋊D71—21no—
217C22×C22⋊D71—21no—
218C22×C22⋊D71—21no—
219C22×C22⋊D71—21no—
220C2×D4×D71—21no—
221C2×D4×D71—21no—
222C2×D4×D71—21no—
223C2×D4×D71—21no—
224C2×D4×D71—21no—
225C2×D4×D71—21no—
226C2×D4×D71—21no—
227C2×D4×D71—42no—
228C2×D4×D71—42no—
229C2×D4×D71C2311yescharacteristic
230C2×D4×D71C2311yescharacteristic
231C2×D4×D71C2311yescharacteristic
232C2×D4×D71C2311yescharacteristic
233C2×D4×D71C2311yescharacteristic
234C2×D4×D71C2311yescharacteristic
235C22×C4×D71C2311yescharacteristic
236#14556156—42no—
237#14556156—42no—
238#14556154—42no—
239#14556152—42no—
240#14556147—42no—
241C2×Dic284C2311yescharacteristic, complemented
242C2×#11765854C2311yescharacteristic
243C2×#11765854C2311yescharacteristic
244C2×#11765854C2311yescharacteristic, complemented
245C2×#11765854C2311yescharacteristic, complemented
246C2×#11765853C2311yescharacteristic
247C2×#11765853C2311yescharacteristic
248C2×#11765853C2311yescharacteristic, complemented
249C2×#11765853C2311yescharacteristic, complemented
250C2×D568C2311yescharacteristic
251C2×D568C2311yescharacteristic
252C2×D568C2311yescharacteristic
253C2×D568C2311yescharacteristic
254C2×#11765850—42no—
255C2×#11765850C2311yescharacteristic
256C2×#11765850C2311yescharacteristic
257C2×#11765850C2311yescharacteristic
258C2×#11765850C2311yescharacteristic
259C2×#11765850C2311yescharacteristic
260C2×#11765850C2311yescharacteristic
261C2×#11765850C2311yescharacteristic, complemented
262C2×#11765850C2311yescharacteristic, complemented
263D8×D71—42no—
264D8×D71—42no—
265C2×#11765849C2311yescharacteristic
266C2×#11765848C2311yescharacteristic, complemented
267C22×C71⋊C8C2311yescharacteristic, complemented
268C2×C8×D71C2311yescharacteristic
269C2×C8×D71C2311yescharacteristic
270C2×C8×D71C2311yescharacteristic, complemented
271#14556125—21no—
272#14556124—21no—
273#14556124—21no—
274#14556124C2311yescharacteristic
275#14556124C2311yescharacteristic, complemented
276#14556123—21no—
277#14556122—21no—
278#14556121—21no—
279#14556120—21no—
280#14556119C2311yescharacteristic, complemented
281#14556117—21no—
282#14556116—21no—
283#14556116C2311yescharacteristic
284#14556116C2311yescharacteristic, complemented
285#14556115C2311yescharacteristic
286#14556114—21no—
287#14556113—21no—
288#14556113—21no—
289#14556113—21no—
290#14556113—21no—
291#14556113—21no—
292#14556113D411yescharacteristic
293#14556112—21no—
294#14556112—21no—
295#14556112—21no—
296#14556111—21no—
297#14556110—21no—
298#14556110—21no—
299#14556110—21no—
300#14556110—21no—
301#14556110—21no—
302#14556110D411yescharacteristic
303#14556109—21no—
304#14556108C2311yescharacteristic
305#14556108C2311yescharacteristic
306#14556108C2311yescharacteristic
307#14556107C2311yescharacteristic
308#14556107C2311yescharacteristic, complemented
309#14556106D411yescharacteristic
310#14556105—21no—
311#14556105D411yescharacteristic
312#14556104—21no—
313#14556104—21no—
314#14556103C2311yescharacteristic
315#14556103C2311yescharacteristic
316#14556103C2311yescharacteristic
317#14556103C2311yescharacteristic
318#14556103C2311yescharacteristic, complemented
319#14556103C2311yescharacteristic, complemented
320#14556102—21no—
321#14556102—21no—
322#14556102—21no—
323#14556102C2311yescharacteristic
324#14556102C2311yescharacteristic
325#14556101—21no—
326#14556101—21no—
327#14556101—21no—
328#14556101—21no—
329#14556101—21no—
330#14556101—21no—
331#14556101—21no—
332#14556101—21no—
333#14556101—21no—
334#14556101D411yescharacteristic
335#14556100—21no—
336#14556100—21no—
337#14556100—21no—
338#14556100—21no—
339#14556100—21no—
340#14556100—21no—
341#14556100—21no—
342#14556100D411yescharacteristic
343#14556099—21no—
344#14556099—21no—
345#14556099—21no—
346#14556099C2311yescharacteristic
347#14556099C2311yescharacteristic
348#14556099C2311yescharacteristic
349#14556098—21no—
350#14556098—21no—
351#14556098—21no—
352#14556098—21no—
353#14556098—21no—
354#14556098—21no—
355#14556098—21no—
356#14556098—21no—
357#14556098D411yescharacteristic
358#14556097—21no—
359#14556097—21no—
360#14556096—21no—
361#14556096—21no—
362#14556096—21no—
363#14556096—21no—
364#14556096—21no—
365#14556096—21no—
366#14556096—21no—
367#14556096—21no—
368#14556096—21no—
369#14556096—21no—
370#14556096—21no—
371#14556096—21no—
372#14556096D411yescharacteristic
373#14556093C2311yescharacteristic, complemented
374C4×D284—21no—
375C4×D284—21no—
376C4×D284—21no—
377C4×D284C2311yescharacteristic
378C4×D284C2311yescharacteristic
379C4×D284C2311yescharacteristic, complemented
380D4×Dic71—21no—
381D4×Dic71C2311yescharacteristic
382#14556090C2311yescharacteristic
383#14556090C2311yescharacteristic, complemented
384C4×C22⋊D71—21no—
385C4×C22⋊D71C2311yescharacteristic
386C4×C22⋊D71C2311yescharacteristic
387(C22⋊D71)⋊C4—21no—
388(C22⋊D71)⋊C4—21no—
389(C22⋊D71)⋊C4—21no—
390#14556086C2311yescharacteristic
391#14556085—21no—
392#14556085C2311yescharacteristic
393C4⋊C4×D71C2311yescharacteristic
394C4⋊C4×D71C2311yescharacteristic, complemented
395C2×C22⋊Dic71—21no—
396C2×(C2×D71)⋊C4—21no—
397C2×(C2×D71)⋊C4—21no—
398C2×(C2×D71)⋊C4—21no—
399C22⋊C4×D71—21no—
400C22⋊C4×D71—21no—
401C22⋊C4×D71—21no—
402C22⋊C4×D71—21no—
403C22⋊C4×D71—21no—
404#14556062C2311yescharacteristic, complemented
405#14556061C2311yescharacteristic, complemented
406#14556061C2311yescharacteristic, complemented
407#14556059C2311yescharacteristic, complemented
408#14556059C2311yescharacteristic, complemented
409C4⋊(C71⋊C8)C2311yescharacteristic, complemented
410Dic71⋊C8C2311yescharacteristic, complemented
411Dic71⋊C8C2311yescharacteristic, complemented
412#14556053C2311yescharacteristic, complemented
413#14556053C2311yescharacteristic, complemented
414#14556051C2311yescharacteristic, complemented
415#14556051C2311yescharacteristic, complemented
416#14556051C2311yescharacteristic, complemented
417#14556051C2311yescharacteristic, complemented
418#14556050C2311yescharacteristic
419#14556050C2311yescharacteristic
420#14556050C2311yescharacteristic, complemented
421#14556050C2311yescharacteristic, complemented
422#14556049C2311yescharacteristic
423#14556049C2311yescharacteristic
424#14556049C2311yescharacteristic, complemented
425#14556049C2311yescharacteristic, complemented
426#14556048C2311yescharacteristic
427#14556048C2311yescharacteristic
428#14556048C2311yescharacteristic
429#14556048C2311yescharacteristic
430#14556048C2311yescharacteristic
431#14556048C2311yescharacteristic
432#14556048C2311yescharacteristic, complemented
433#14556048C2311yescharacteristic, complemented
434C22⋊(C71⋊C8)C2311yescharacteristic
435C22⋊(C71⋊C8)C2311yescharacteristic, complemented
436(C2×D71)⋊C8C2311yescharacteristic
437(C2×D71)⋊C8C2311yescharacteristic
438(C2×D71)⋊C8C2311yescharacteristic
439(C2×D71)⋊C8C2311yescharacteristic
440(C2×D71)⋊C8C2311yescharacteristic
441(C2×D71)⋊C8C2311yescharacteristic
442(C2×D71)⋊C8C2311yescharacteristic, complemented
443(C2×D71)⋊C8C2311yescharacteristic, complemented
444#14556039C2311yescharacteristic, complemented
445#14556038C2311yescharacteristic, complemented
446C8×Dic71C2311yescharacteristic, complemented
447C22×D4×C71—21no—
448C22×D4×C71C2311yescharacteristic
449C22×D4×C71C2311yescharacteristic
450C2×D8×C71C2311yescharacteristic
451C2×D8×C71C2311yescharacteristic
452C2×D8×C71C2311yescharacteristic, complemented
453C2×M16×C71C2311yescharacteristic
454C2×M16×C71C2311yescharacteristic, complemented
455C4⋊Q8×C71C2311yescharacteristic, complemented
456#127×C71C2311yescharacteristic
457#124×C71—21no—
458#124×C71—21no—
459#121×C71—21no—
460#121×C71—21no—
461#121×C71C2311yescharacteristic
462#121×C71C2311yescharacteristic
463#121×C71C2311yescharacteristic
464#121×C71C2311yescharacteristic, complemented
465#120×C71—21no—
466#120×C71—21no—
467C4×D4×C71C2311yescharacteristic
468C4×D4×C71C2311yescharacteristic
469C4×D4×C71C2311yescharacteristic, complemented
470#117×C71—21no—
471#117×C71C2311yescharacteristic
472#117×C71C2311yescharacteristic, complemented
473#107×C71C2311yescharacteristic, complemented
474#106×C71C2311yescharacteristic, complemented
475#106×C71C2311yescharacteristic, complemented
476C4⋊C8×C71C2311yescharacteristic, complemented
477#102×C71C2311yescharacteristic
478#102×C71C2311yescharacteristic
479#102×C71C2311yescharacteristic
480#102×C71C2311yescharacteristic
481#102×C71C2311yescharacteristic
482#102×C71C2311yescharacteristic
483#102×C71C2311yescharacteristic, complemented
484#102×C71C2311yescharacteristic, complemented
485#102×C71C2311yescharacteristic, complemented
486#102×C71C2311yescharacteristic, complemented
487C22⋊C8×C71C2311yescharacteristic
488C22⋊C8×C71C2311yescharacteristic, complemented
489C4×C8×C71C2311yescharacteristic, complemented
490C23×D71—21no—
491C23×D71—21no—
492C23×D71—21no—
493C23×D71—21no—
494C23×D71—21no—
495C23×D71—21no—
496C23×D71—21no—
497C23×D71—21no—
498C23×D71—44no—
499C23×D71—82no—
500C23×D71—82no—
501C23×D71C2×D411yescharacteristic
502#11765866—82no—
503#11765865—22no—
504#11765865—41no—
505#11765865—41no—
506#11765865—41no—
507#11765865—41no—
508#11765865—41no—
509#11765864—22no—
510#11765864—41no—
511#11765864—41no—
512#11765864—41no—
513#11765864—41no—
514#11765864—41no—
515#11765864—44no—
516C2×Dic142C2×D411yescharacteristic
517C2×Dic142C2411yescharacteristic
518C2×Dic142C2411yescharacteristic
519C2×D284—22no—
520C2×D284—21no—
521C2×D284—21no—
522C2×D284—21no—
523C2×D284—21no—
524C2×D284—21no—
525C2×D284—21no—
526C2×D284—21no—
527C2×D284—21no—
528C2×D284—41no—
529C2×D284—41no—
530C2×D284—41no—
531C2×D284C2×D411yescharacteristic
532C2×D284C2×D411yescharacteristic
533C2×D284C2411yescharacteristic
534C2×D284C2411yescharacteristic
535C2×D284C2411yescharacteristic
536C2×D284C2411yescharacteristic
537C2×C22⋊D71—21no—
538C2×C22⋊D71—21no—
539C2×C22⋊D71—21no—
540C2×C22⋊D71—21no—
541C2×C22⋊D71—21no—
542C2×C22⋊D71—21no—
543C2×C22⋊D71—21no—
544C2×C22⋊D71—21no—
545C2×C22⋊D71—21no—
546C2×C22⋊D71—21no—
547C2×C22⋊D71—21no—
548C2×C22⋊D71—21no—
549C2×C22⋊D71—21no—
550C2×C22⋊D71—21no—
551C2×C22⋊D71—21no—
552C2×C22⋊D71—21no—
553C2×C22⋊D71—21no—
554C2×C22⋊D71—21no—
555C2×C22⋊D71—21no—
556C2×C22⋊D71—21no—
557C2×C22⋊D71—44no—
558C2×C22⋊D71—44no—
559C2×C22⋊D71—44no—
560C2×C22⋊D71—82no—
561C2×C22⋊D71C2×D411yescharacteristic
562C2×C22⋊D71C2×D411yescharacteristic
563C2×C22⋊D71C2×D411yescharacteristic
564C2×C22⋊D71C2×D411yescharacteristic
565D4×D71—22no—
566D4×D71—22no—
567D4×D71—22no—
568D4×D71—22no—
569D4×D71—22no—
570D4×D71—41no—
571D4×D71—41no—
572D4×D71—41no—
573D4×D71—41no—
574D4×D71—41no—
575D4×D71—41no—
576D4×D71—41no—
577D4×D71—44no—
578D4×D71—44no—
579D4×D71—44no—
580D4×D71—82no—
581D4×D71—82no—
582D4×D71—82no—
583D4×D71—82no—
584C22×Dic71—21no—
585C22×Dic71—21no—
586C22×Dic71—21no—
587C22×Dic71—21no—
588C22×Dic71C2×D411yescharacteristic
589C2×C4×D71—21no—
590C2×C4×D71—21no—
591C2×C4×D71—21no—
592C2×C4×D71—21no—
593C2×C4×D71—21no—
594C2×C4×D71—21no—
595C2×C4×D71—21no—
596C2×C4×D71—21no—
597C2×C4×D71—41no—
598C2×C4×D71—41no—
599C2×C4×D71C2×D411yescharacteristic
600C2×C4×D71C2×D411yescharacteristic
601C2×C4×D71C2411yescharacteristic
602C2×C4×D71C2411yescharacteristic
603C2×C4×D71C2411yescharacteristic
604Dic284—41no—
605#11765854—22no—
606#11765854—41no—
607#11765854—41no—
608#11765854—41no—
609#11765853—22no—
610#11765853—41no—
611#11765853—41no—
612#11765853—41no—
613D568—22no—
614D568—22no—
615D568—41no—
616D568—41no—
617#11765850—22no—
618#11765850—22no—
619#11765850—22no—
620#11765850—41no—
621#11765850—41no—
622#11765850—41no—
623#11765850—41no—
624#11765850—41no—
625#11765849—41no—
626#11765848—41no—
627C2×C71⋊C8—41no—
628C2×C71⋊C8C2411yescharacteristic
629C2×C71⋊C8C2411yescharacteristic
630C2×C71⋊C8C2411yescharacteristic
631C2×C71⋊C8C2411yescharacteristic
632C8×D71—41no—
633C8×D71—41no—
634C8×D71—41no—
635C4⋊Dic71—21no—
636C4⋊Dic71—21no—
637C4⋊Dic71—21no—
638C4⋊Dic71—21no—
639C4⋊Dic71C2×D411yescharacteristic
640C4⋊Dic71C2411yescharacteristic
641C4⋊Dic71C2411yescharacteristic
642Dic71⋊C4—21no—
643Dic71⋊C4—21no—
644Dic71⋊C4—21no—
645Dic71⋊C4—21no—
646Dic71⋊C4—21no—
647Dic71⋊C4—21no—
648Dic71⋊C4C2×D411yescharacteristic
649Dic71⋊C4C2×D411yescharacteristic
650Dic71⋊C4C2×D411yescharacteristic
651Dic71⋊C4C2×D411yescharacteristic
652C22⋊Dic71—21no—
653C22⋊Dic71—21no—
654C22⋊Dic71—21no—
655C22⋊Dic71—21no—
656C22⋊Dic71—21no—
657C22⋊Dic71—21no—
658C22⋊Dic71—21no—
659C22⋊Dic71—21no—
660C22⋊Dic71C2×D411yescharacteristic
661C22⋊Dic71C2×D411yescharacteristic
662(C2×D71)⋊C4—21no—
663(C2×D71)⋊C4—21no—
664(C2×D71)⋊C4—21no—
665(C2×D71)⋊C4—21no—
666(C2×D71)⋊C4—21no—
667(C2×D71)⋊C4—21no—
668(C2×D71)⋊C4—21no—
669(C2×D71)⋊C4—21no—
670(C2×D71)⋊C4—21no—
671(C2×D71)⋊C4—21no—
672(C2×D71)⋊C4—21no—
673(C2×D71)⋊C4—21no—
674(C2×D71)⋊C4—21no—
675(C2×D71)⋊C4—21no—
676(C2×D71)⋊C4—21no—
677(C2×D71)⋊C4—21no—
678(C2×D71)⋊C4—21no—
679(C2×D71)⋊C4—21no—
680(C2×D71)⋊C4—21no—
681(C2×D71)⋊C4—21no—
682(C2×D71)⋊C4C2×D411yescharacteristic
683(C2×D71)⋊C4C2×D411yescharacteristic
684(C2×D71)⋊C4C2×D411yescharacteristic
685(C2×D71)⋊C4C2×D411yescharacteristic
686(C2×D71)⋊C4C2×D411yescharacteristic
687(C2×D71)⋊C4C2×D411yescharacteristic
688C4×Dic71—21no—
689C4×Dic71—21no—
690C4×Dic71C2411yescharacteristic
691C24×C71—21no—
692C24×C71—21no—
693C2×Q8×C71—21no—
694C2×D4×C71—22no—
695C2×D4×C71—22no—
696C2×D4×C71—21no—
697C2×D4×C71—21no—
698C2×D4×C71—21no—
699C2×D4×C71—21no—
700C2×D4×C71—21no—
701C2×D4×C71—21no—
702C2×D4×C71—21no—
703C2×D4×C71—21no—
704C2×D4×C71—41no—
705C2×D4×C71—41no—
706C2×D4×C71—82no—
707C2×D4×C71C2×D411yescharacteristic
708C2×D4×C71C2411yescharacteristic
709C2×D4×C71C2411yescharacteristic
710C2×D4×C71C2411yescharacteristic
711C2×D4×C71C2411yescharacteristic
712C22×C4×C71—21no—
713C22×C4×C71—21no—
714C22×C4×C71C2411yescharacteristic
715C22×C4×C71C2411yescharacteristic
716D8×C71—22no—
717D8×C71—41no—
718D8×C71—41no—
719M16×C71—41no—
720M16×C71—41no—
721C2×C8×C71C2411yescharacteristic
722C2×C8×C71C2411yescharacteristic
723C2×C8×C71C2411yescharacteristic
724C2×C8×C71C2411yescharacteristic
725C4⋊C4×C71—21no—
726C4⋊C4×C71C2×D411yescharacteristic
727C4⋊C4×C71C2411yescharacteristic
728C4⋊C4×C71C2411yescharacteristic
729C4⋊C4×C71C2411yescharacteristic
730C4⋊C4×C71C2411yescharacteristic
731C22⋊C4×C71—21no—
732C22⋊C4×C71—21no—
733C22⋊C4×C71—21no—
734C22⋊C4×C71—21no—
735C22⋊C4×C71—21no—
736C22⋊C4×C71—21no—
737C22⋊C4×C71—21no—
738C22⋊C4×C71—21no—
739C22⋊C4×C71C2×D411yescharacteristic
740C22⋊C4×C71C2×D411yescharacteristic
741C42×C71—21no—
742C42×C71—21no—
743C42×C71C2411yescharacteristic
744C23×C71—21no—
745C23×C71—21no—
746C23×C71—21no—
747C23×C71—21no—
748C23×C71—42no—
749C23×C71—42no—
750C23×C71—42no—
751C23×C71—81no—
752C23×C71—81no—
753C23×C71—81no—
754C23×C71C22×D411yescharacteristic
755C23×C71C22×D411yescharacteristic
756C22×D71—21no—
757C22×D71—24no—
758C22×D71—22no—
759C22×D71—21no—
760C22×D71—21no—
761C22×D71—21no—
762C22×D71—41no—
763C22×D71—41no—
764C22×D71—42no—
765C22×D71—42no—
766C22×D71—42no—
767C22×D71—42no—
768C22×D71—42no—
769C22×D71—42no—
770C22×D71—42no—
771C22×D71—42no—
772C22×D71—42no—
773C22×D71—81no—
774C22×D71—81no—
775C22×D71—81no—
776C22×D71—81no—
777C22×D71—81no—
778C22×D71—81no—
779C22×D71—81no—
780C22×D71—81no—
781C22×D71—81no—
782C22×D71—81no—
783C22×D71—81no—
784C22×D71—81no—
785C22×D71—81no—
786C22×D71—81no—
787C22×D71—816no—
788C22×D71C22×D411yescharacteristic
789C22×D71C22×D411yescharacteristic
790C22×D71C22×D411yescharacteristic
791Q8×C71—81no—
792D4×C71—21no—
793D4×C71—21no—
794D4×C71—21no—
795D4×C71—21no—
796D4×C71—21no—
797D4×C71—21no—
798D4×C71—21no—
799D4×C71—41no—
800D4×C71—42no—
801D4×C71—42no—
802D4×C71—42no—
803D4×C71—81no—
804D4×C71—81no—
805D4×C71—81no—
806D4×C71—81no—
807D4×C71—81no—
808D4×C71H(5,𝔽2)12yes—
809C2×C4×C71—21no—
810C2×C4×C71—21no—
811C2×C4×C71—21no—
812C2×C4×C71—21no—
813C2×C4×C71—21no—
814C2×C4×C71—21no—
815C2×C4×C71—21no—
816C2×C4×C71—21no—
817C2×C4×C71—81no—
818C2×C4×C71—81no—
819C2×C4×C71C22×D411yescharacteristic
820C2×C4×C71C22×D411yescharacteristic
821C2×C4×C71C22×D411yescharacteristic
822C2×C4×C71C22×D411yescharacteristic
823C2×C4×C71C2511yescharacteristic
824C22⋊D71—24no—
825C22⋊D71—22no—
826C22⋊D71—41no—
827C22⋊D71—41no—
828C22⋊D71—41no—
829C22⋊D71—42no—
830C22⋊D71—42no—
831C22⋊D71—42no—
832C22⋊D71—42no—
833C22⋊D71—42no—
834C22⋊D71—42no—
835C22⋊D71—42no—
836C22⋊D71—42no—
837C22⋊D71—81no—
838C22⋊D71—81no—
839C22⋊D71—81no—
840C22⋊D71—81no—
841C22⋊D71—81no—
842C22⋊D71—81no—
843C22⋊D71—81no—
844C22⋊D71—81no—
845C22⋊D71—81no—
846C22⋊D71—81no—
847C22⋊D71—81no—
848C2×Dic71—21no—
849C2×Dic71—21no—
850C2×Dic71—21no—
851C2×Dic71—21no—
852C2×Dic71—41no—
853C2×Dic71—42no—
854C2×Dic71—42no—
855C2×Dic71—81no—
856C2×Dic71—81no—
857C2×Dic71C22×D411yescharacteristic
858C2×Dic71C22×D411yescharacteristic
859C2×Dic71C22×D411yescharacteristic
860C2×Dic71C22×D411yescharacteristic
861C2×Dic71C22×D411yescharacteristic
862D284—22no—
863D284—21no—
864D284—21no—
865D284—21no—
866D284—21no—
867D284—21no—
868D284—21no—
869D284—21no—
870D284—41no—
871D284—42no—
872D284—42no—
873D284—81no—
874D284—81no—
875D284—81no—
876D284—81no—
877D284—81no—
878D284—81no—
879D284H(5,𝔽2)12yes—
880C4×D71—21no—
881C4×D71—21no—
882C4×D71—21no—
883C4×D71—21no—
884C4×D71—21no—
885C4×D71—21no—
886C4×D71—41no—
887C4×D71—41no—
888C4×D71—42no—
889C4×D71—42no—
890C4×D71—81no—
891C4×D71—81no—
892C4×D71—81no—
893C4×D71—81no—
894C4×D71—81no—
895C4×D71—81no—
896Dic142—21no—
897Dic142—21no—
898Dic142—21no—
899Dic142—21no—
900Dic142—41no—
901C8×C71—21no—
902C8×C71—21no—
903C8×C71—21no—
904C8×C71—21no—
905C71⋊C8—21no—
906C71⋊C8—21no—
907C71⋊C8—21no—
908C71⋊C8—21no—
909C22×C71—21no—
910C22×C71—21no—
911C22×C71—22no—
912C22×C71—21no—
913C22×C71—21no—
914C22×C71—21no—
915C22×C71—21no—
916C22×C71—41no—
917C22×C71—41no—
918C22×C71—41no—
919C22×C71—41no—
920C22×C71—41no—
921C22×C71—41no—
922C22×C71—41no—
923C22×C71—41no—
924C22×C71—41no—
925C22×C71—41no—
926C22×C71—41no—
927C22×C71—84no—
928C22×C71—162no—
929C22×C71C23×D411yescharacteristic
930C2×D71—21no—
931C2×D71—21no—
932C2×D71—21no—
933C2×D71—21no—
934C2×D71—21no—
935C2×D71—21no—
936C2×D71—22no—
937C2×D71—21no—
938C2×D71—21no—
939C2×D71—44no—
940C2×D71—41no—
941C2×D71—41no—
942C2×D71—41no—
943C2×D71—41no—
944C2×D71—41no—
945C2×D71—41no—
946C2×D71—41no—
947C2×D71—41no—
948C2×D71—41no—
949C2×D71—41no—
950C2×D71—41no—
951C2×D71—84no—
952C2×D71—84no—
953C2×D71—84no—
954C2×D71—84no—
955C2×D71—84no—
956C2×D71—162no—
957C2×D71—162no—
958C2×D71—162no—
959C2×D71#57612yes—
960C4×C71—21no—
961C4×C71—21no—
962C4×C71—21no—
963C4×C71—21no—
964C4×C71—41no—
965C4×C71—41no—
966C4×C71—41no—
967C4×C71—41no—
968C4×C71C2×H(5,𝔽2)11yescharacteristic
969C4×C71C2×H(5,𝔽2)11yescharacteristic
970Dic71—21no—
971Dic71—21no—
972Dic71—21no—
973Dic71—21no—
974Dic71—21no—
975Dic71—41no—
976Dic71—41no—
977Dic71—41no—
978Dic71—41no—
979#61609—711nomaximal, Sylow
980C2×C71—41no—
981C2×C71—42no—
982C2×C71—41no—
983C2×C71—81no—
984C2×C71—81no—
985C2×C71—81no—
986C2×C71#348411yescharacteristic
987C2×C71C2×#57611yescharacteristic
988C2×C71#358511yescharacteristic
989D71—22no—
990D71—41no—
991D71—41no—
992D71—42no—
993D71—81no—
994D71—81no—
995D71—81no—
996#3542—711no—
997#3484—711no—
998#3325D7111yescharacteristic, complemented
999#3322—711no—
1000#3319—711no—
1001#3318—711no—
1002#3310—711no—
1003#3306—711no—
1004#3296—711no—
1005#3294—711no—
1006#3280—711no—
1007D4×D8—711no—
1008#3274—711no—
1009#3273—711no—
1010#3268—711no—
1011#3264—711no—
1012#3264—711no—
1013#3264—711no—
1014#3224—711no—
1015#3220—711no—
1016#3199—711no—
1017#3198—711no—
1018#3194—711no—
1019#3191—711no—
1020#3122—711no—
1021#3118—711no—
1022#3012—711no—
1023#3008—711no—
1024#3003—711no—
1025C2×#447—711no—
1026#2976—711no—
1027C71#6160911yescharacteristic, complemented, Sylow
1028C2×H(5,𝔽2)—711no—
1029C23×D4—711no—
1030C2×AGL(1,ℤ/8)—711no—
1031C2×AGL(1,ℤ/8)—711no—
1032C2×AGL(1,ℤ/8)—711no—
1033C2×AGL(1,ℤ/8)—711no—
1034C2×#135—711no—
1035C22×D8—711no—
1036C22×D8—711no—
1037C22×D8—711no—
1038#562—1421no—
1039#560—1421no—
1040#555C2×D7111yescharacteristic, complemented
1041#553—711no—
1042#552—711no—
1043#551—1421no—
1044#550—711no—
1045#547—711no—
1046#546—711no—
1047#546—711no—
1048#546—711no—
1049#546—711no—
1050#546—711no—
1051#546—711no—
1052#546—1421no—
1053#546—1421no—
1054#546—1421no—
1055D42—711no—
1056D42—711no—
1057D42—711no—
1058D42—711no—
1059D42—1421no—
1060D42—1421no—
1061D42C2×D7111yescharacteristic, complemented
1062#542—711no—
1063#540—711no—
1064#540—1421no—
1065#538—1421no—
1066#537—711no—
1067#535—711no—
1068#535—711no—
1069#535—711no—
1070#535—1421no—
1071#534—1421no—
1072#534—1421no—
1073#534—1421no—
1074#525—711no—
1075#525—711no—
1076#525—711no—
1077C2×#121—711no—
1078C2×#120—1421no—
1079C2×#120—1421no—
1080#518—711no—
1081#496—711no—
1082#496—711no—
1083#495—711no—
1084#493—711no—
1085#490—711no—
1086#489—711no—
1087#488—711no—
1088#486C2×D7111yescharacteristic, complemented
1089#485—711no—
1090#485—711no—
1091#483—711no—
1092#482—711no—
1093#482—711no—
1094#482—711no—
1095#482—711no—
1096#482C2×D7111yescharacteristic, complemented
1097#482C2×D7111yescharacteristic, complemented
1098#481—711no—
1099#480—711no—
1100#480—711no—
1101#478—711no—
1102#478—711no—
1103#476C2×D7111yescharacteristic, complemented
1104#474—711no—
1105#469—711no—
1106#469—711no—
1107#469—711no—
1108#469C2×D7111yescharacteristic, complemented
1109#469C2×D7111yescharacteristic, complemented
1110#468—711no—
1111#468—711no—
1112#468—711no—
1113#467—711no—
1114#466—711no—
1115#466—711no—
1116#466—711no—
1117#466—711no—
1118#465—711no—
1119#465—711no—
1120#465—711no—
1121#464—711no—
1122#463—711no—
1123#463—711no—
1124#463—711no—
1125#463—711no—
1126#463—711no—
1127#460—711no—
1128#459—711no—
1129#459—711no—
1130#459—711no—
1131#459—711no—
1132#459C2×D7111yescharacteristic, complemented
1133#452—711no—
1134#452—711no—
1135#452—711no—
1136#450—711no—
1137#450—711no—
1138#450—711no—
1139#450—711no—
1140#450—711no—
1141#450—711no—
1142#449—711no—
1143#449—711no—
1144#449—711no—
1145#449—711no—
1146#449—711no—
1147#449—711no—
1148#449—711no—
1149#449—711no—
1150#449—711no—
1151#447—711no—
1152#447—711no—
1153#447—711no—
1154#447—711no—
1155#447—711no—
1156#447—711no—
1157#447—711no—
1158#447—711no—
1159#447—711no—
1160#447—711no—
1161#447—711no—
1162#447—711no—
1163#447—711no—
1164#447—711no—
1165#447—711no—
1166#447—711no—
1167#447C2×D7111yescharacteristic, complemented
1168#447C2×D7111yescharacteristic, complemented
1169#442—711no—
1170#442—711no—
1171#442—711no—
1172#440—711no—
1173C4×SD16—711no—
1174C4×D8—711no—
1175C4×D8—711no—
1176C4×D8C2×D7111yescharacteristic, complemented
1177#436—711no—
1178#436C2×D7111yescharacteristic, complemented
1179#435—711no—
1180#435—711no—
1181#435—711no—
1182#435—711no—
1183C8×D4—711no—
1184C8×D4—711no—
1185#433—711no—
1186#433—711no—
1187#418—711no—
1188#418C2×D7111yescharacteristic, complemented
1189#418C2×D7111yescharacteristic, complemented
1190#417—711no—
1191#416—711no—
1192C2×#102—711no—
1193C2×#102—711no—
1194C2×#102—711no—
1195#408—711no—
1196#408—711no—
1197#407—711no—
1198C2×C22⋊C8—711no—
1199C25—1421no—
1200H(5,𝔽2)—2842no—
1201H(5,𝔽2)—2842no—
1202C2×#41—711no—
1203C2×#41—711no—
1204C2×#41—711no—
1205C2×#41—711no—
1206C2×#41—711no—
1207C2×#41—711no—
1208C2×#41—1421no—
1209C2×#41—1421no—
1210C22×D4—21no—
1211C22×D4—2842no—
1212C22×D4—2842no—
1213C22×D4—711no—
1214C22×D4—711no—
1215C22×D4—711no—
1216C22×D4—711no—
1217C22×D4—711no—
1218C22×D4—711no—
1219C22×D4—711no—
1220C22×D4—711no—
1221C22×D4—1421no—
1222C22×D4—1421no—
1223C22×D4—1421no—
1224C22×D4—1421no—
1225C22×D4—1421no—
1226C22×D4—1421no—
1227C22×D4—1421no—
1228C22×D4—1421no—
1229C22×D4—1421no—
1230C22×D4—1421no—
1231C22×D4—1421no—
1232C22×D4C22×D7111yescharacteristic
1233C22×D4C22×D7111yescharacteristic
1234C23×C4—711no—
1235AGL(1,ℤ/8)—2842no—
1236AGL(1,ℤ/8)—2842no—
1237AGL(1,ℤ/8)—2842no—
1238AGL(1,ℤ/8)—2842no—
1239#135—2842no—
1240C2×Q16—711no—
1241C2×SD16—711no—
1242C2×SD16—711no—
1243C2×SD16—711no—
1244C2×SD16—711no—
1245C2×SD16—711no—
1246C2×SD16—711no—
1247C2×SD16—711no—
1248C2×SD16—711no—
1249C2×D8—2842no—
1250C2×D8—2842no—
1251C2×D8—2842no—
1252C2×D8—711no—
1253C2×D8—711no—
1254C2×D8—711no—
1255C2×D8—711no—
1256C2×D8—711no—
1257C2×D8—711no—
1258C2×D8—711no—
1259C2×D8—711no—
1260C2×D8—711no—
1261C2×D8—711no—
1262C2×D8—711no—
1263C2×D8—711no—
1264C2×D8C22×D7111yescharacteristic
1265C2×D8C22×D7111yescharacteristic
1266C2×D8C22×D7111yescharacteristic, complemented
1267C2×M16—711no—
1268C2×M16—711no—
1269C2×M16C22×D7111yescharacteristic
1270C2×M16C22×D7111yescharacteristic, complemented
1271C22×C8—711no—
1272C22×C8—711no—
1273C22×C8—711no—
1274C22×C8—711no—
1275C4⋊Q8C22×D7111yescharacteristic, complemented
1276#127—711no—
1277#127—711no—
1278#127—1421no—
1279#127—1421no—
1280#127—1421no—
1281#127C22×D7111yescharacteristic
1282#126—1421no—
1283#126—1421no—
1284#126—1421no—
1285#125—711no—
1286#125—1421no—
1287#124—21no—
1288#124—21no—
1289#124—711no—
1290#124—711no—
1291#124—711no—
1292#124—1421no—
1293#124—1421no—
1294#124—1421no—
1295#123—711no—
1296#123—711no—
1297#123—1421no—
1298#123—1421no—
1299#123—1421no—
1300#123—1421no—
1301#123—1421no—
1302#123—1421no—
1303#123—1421no—
1304#123—1421no—
1305#123—1421no—
1306#123—1421no—
1307#123—1421no—
1308#123—1421no—
1309#123—1421no—
1310#123—1421no—
1311#123—1421no—
1312C22⋊Q8—711no—
1313C22⋊Q8—711no—
1314C22⋊Q8—711no—
1315C22⋊Q8—711no—
1316C22⋊Q8—711no—
1317C22⋊Q8—711no—
1318C22⋊Q8—711no—
1319C22⋊Q8—1421no—
1320C22⋊Q8—1421no—
1321C22⋊Q8—1421no—
1322#121—21no—
1323#121—21no—
1324#121—711no—
1325#121—711no—
1326#121—711no—
1327#121—711no—
1328#121—711no—
1329#121—711no—
1330#121—711no—
1331#121—711no—
1332#121—711no—
1333#121—711no—
1334#121—711no—
1335#121—711no—
1336#121—711no—
1337#121—1421no—
1338#121—1421no—
1339#121—1421no—
1340#121—1421no—
1341#121—1421no—
1342#121—1421no—
1343#121—1421no—
1344#121—1421no—
1345#121—1421no—
1346#121—1421no—
1347#121—1421no—
1348#121—1421no—
1349#121—1421no—
1350#121—1421no—
1351#121—1421no—
1352#121—1421no—
1353#121—1421no—
1354#121—1421no—
1355#121—1421no—
1356#121—1421no—
1357#121—1421no—
1358#121—1421no—
1359#121C22×D7111yescharacteristic
1360#121C22×D7111yescharacteristic
1361#121C22×D7111yescharacteristic
1362#121C22×D7111yescharacteristic, complemented
1363#120—21no—
1364#120—21no—
1365#120—711no—
1366#120—711no—
1367#120—1421no—
1368#120—1421no—
1369#120—1421no—
1370#120—1421no—
1371#120—1421no—
1372#120—1421no—
1373#120—1421no—
1374#120—1421no—
1375#120—1421no—
1376#120—1421no—
1377#120—1421no—
1378#120—1421no—
1379#120—1421no—
1380#120—1421no—
1381#120—1421no—
1382#120—1421no—
1383#120—1421no—
1384#120—1421no—
1385#120—1421no—
1386#120—1421no—
1387#120—1421no—
1388#120—1421no—
1389C4×Q8—711no—
1390C4×D4—711no—
1391C4×D4—711no—
1392C4×D4—711no—
1393C4×D4—711no—
1394C4×D4—711no—
1395C4×D4—711no—
1396C4×D4—711no—
1397C4×D4—711no—
1398C4×D4—1421no—
1399C4×D4—1421no—
1400C4×D4—1421no—
1401C4×D4—1421no—
1402C4×D4—1421no—
1403C4×D4—1421no—
1404C4×D4—1421no—
1405C4×D4—1421no—
1406C4×D4C22×D7111yescharacteristic
1407C4×D4C22×D7111yescharacteristic
1408C4×D4C22×D7111yescharacteristic, complemented
1409#117—21no—
1410#117—711no—
1411#117—711no—
1412#117—1421no—
1413#117C22×D7111yescharacteristic
1414#117C22×D7111yescharacteristic, complemented
1415C2×C4⋊C4—711no—
1416C2×C4⋊C4—711no—
1417C2×C22⋊C4—1421no—
1418C2×C22⋊C4—1421no—
1419C2×C22⋊C4—1421no—
1420C2×C22⋊C4—1421no—
1421C2×C22⋊C4—1421no—
1422C2×C22⋊C4—1421no—
1423C2×C22⋊C4—1421no—
1424C2×C22⋊C4—1421no—
1425C2×C22⋊C4—1421no—
1426#107—711no—
1427#107—711no—
1428#107—711no—
1429#107C22×D7111yescharacteristic, complemented
1430#106—711no—
1431#106—711no—
1432#106C22×D7111yescharacteristic, complemented
1433#106C22×D7111yescharacteristic, complemented
1434C4⋊C8—711no—
1435C4⋊C8—711no—
1436C4⋊C8—711no—
1437C4⋊C8C22×D7111yescharacteristic, complemented
1438#103—711no—
1439#103—711no—
1440#103—711no—
1441#103—711no—
1442#103—711no—
1443#103—711no—
1444#102—711no—
1445#102—711no—
1446#102—711no—
1447#102—711no—
1448#102—711no—
1449#102—711no—
1450#102—711no—
1451#102—711no—
1452#102—711no—
1453#102—711no—
1454#102—711no—
1455#102—711no—
1456#102—711no—
1457#102—711no—
1458#102—711no—
1459#102—711no—
1460#102C22×D7111yescharacteristic
1461#102C22×D7111yescharacteristic
1462#102C22×D7111yescharacteristic
1463#102C22×D7111yescharacteristic
1464#102C22×D7111yescharacteristic
1465#102C22×D7111yescharacteristic
1466#102C22×D7111yescharacteristic, complemented
1467#102C22×D7111yescharacteristic, complemented
1468#102C22×D7111yescharacteristic, complemented
1469#102C22×D7111yescharacteristic, complemented
1470C22⋊C8—711no—
1471C22⋊C8—711no—
1472C22⋊C8—711no—
1473C22⋊C8—711no—
1474C22⋊C8—711no—
1475C22⋊C8—711no—
1476C22⋊C8—711no—
1477C22⋊C8—711no—
1478C22⋊C8—711no—
1479C22⋊C8—711no—
1480C22⋊C8C22×D7111yescharacteristic
1481C22⋊C8C22×D7111yescharacteristic, complemented
1482#97—711no—
1483#97—711no—
1484C4×C8—711no—
1485C4×C8C22×D7111yescharacteristic, complemented
1486C24—21no—
1487C24—21no—
1488C24—2844no—
1489C24—5682no—
1490C24—5682no—
1491C24—711no—
1492C24—1421no—
1493C24—1421no—
1494C24—1421no—
1495C24—1421no—
1496C24—1421no—
1497C24—1421no—
1498C24—1421no—
1499C24—1421no—
1500#41—2841no—
1501#41—2841no—
1502#41—2841no—
1503#41—2841no—
1504#41—2841no—
1505#41—2844no—
1506#41—2841no—
1507#41—2841no—
1508#41—2841no—
1509#41—2841no—
1510#41—2841no—
1511#41—5682no—
1512#41—1422no—
1513#41—1422no—
1514C2×Q8—21no—
1515C2×Q8—711no—
1516C2×Q8—711no—
1517C2×Q8—711no—
1518C2×D4—22no—
1519C2×D4—22no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—21no—
1527C2×D4—21no—
1528C2×D4—41no—
1529C2×D4—41no—
1530C2×D4—82no—
1531C2×D4—2841no—
1532C2×D4—2841no—
1533C2×D4—2841no—
1534C2×D4—2844no—
1535C2×D4—2844no—
1536C2×D4—2844no—
1537C2×D4—2844no—
1538C2×D4—2844no—
1539C2×D4—2844no—
1540C2×D4—2841no—
1541C2×D4—2841no—
1542C2×D4—2841no—
1543C2×D4—2841no—
1544C2×D4—2841no—
1545C2×D4—2841no—
1546C2×D4—2841no—
1547C2×D4—5682no—
1548C2×D4—5682no—
1549C2×D4—5682no—
1550C2×D4—5682no—
1551C2×D4—5682no—
1552C2×D4—711no—
1553C2×D4—711no—
1554C2×D4—711no—
1555C2×D4—711no—
1556C2×D4—711no—
1557C2×D4—711no—
1558C2×D4—711no—
1559C2×D4—711no—
1560C2×D4—711no—
1561C2×D4—711no—
1562C2×D4—1421no—
1563C2×D4—1422no—
1564C2×D4—1421no—
1565C2×D4—1421no—
1566C2×D4—1421no—
1567C2×D4—1421no—
1568C2×D4—1421no—
1569C2×D4—1421no—
1570C2×D4—1421no—
1571C2×D4—1421no—
1572C2×D4—1421no—
1573C2×D4—1421no—
1574C2×D4—1421no—
1575C2×D4—1421no—
1576C2×D4—1421no—
1577C2×D4—1421no—
1578C2×D4—1421no—
1579C2×D4—1422no—
1580C2×D4—1422no—
1581C2×D4—1422no—
1582C2×D4—1421no—
1583C2×D4—1421no—
1584C2×D4—1421no—
1585C2×D4—1421no—
1586C2×D4—1422no—
1587C2×D4—1421no—
1588C2×D4—1421no—
1589C2×D4—1421no—
1590C2×D4—1421no—
1591C2×D4—1421no—
1592C2×D4—1421no—
1593C2×D4—1422no—
1594C2×D4—1421no—
1595C2×D4—1421no—
1596C2×D4D4×D7111yescharacteristic
1597C2×D4C23×D7111yescharacteristic
1598C2×D4C23×D7111yescharacteristic
1599C2×D4C23×D7111yescharacteristic
1600C2×D4C23×D7111yescharacteristic
1601C22×C4—21no—
1602C22×C4—21no—
1603C22×C4—2841no—
1604C22×C4—2841no—
1605C22×C4—711no—
1606C22×C4—711no—
1607C22×C4—711no—
1608C22×C4—711no—
1609C22×C4—711no—
1610C22×C4—711no—
1611C22×C4—1421no—
1612C22×C4—1421no—
1613C22×C4—1421no—
1614C22×C4—1421no—
1615C22×C4—1421no—
1616C22×C4—1421no—
1617C22×C4—1421no—
1618C22×C4—1421no—
1619C22×C4—1421no—
1620C22×C4—1421no—
1621C22×C4—1421no—
1622C22×C4—1421no—
1623C22×C4C23×D7111yescharacteristic
1624C22×C4C23×D7111yescharacteristic
1625Q16—2841no—
1626SD16—2841no—
1627SD16—2841no—
1628SD16—2841no—
1629SD16—2841no—
1630SD16—2841no—
1631SD16—2841no—
1632SD16—1422no—
1633SD16—1422no—
1634D8—22no—
1635D8—41no—
1636D8—41no—
1637D8—2841no—
1638D8—2841no—
1639D8—2841no—
1640D8—2841no—
1641D8—2841no—
1642D8—2841no—
1643D8—2841no—
1644D8—1422no—
1645D8—1422no—
1646D8—1422no—
1647D8—1422no—
1648D8—1422no—
1649M16—41no—
1650M16—41no—
1651M16—2841no—
1652M16—2841no—
1653C2×C8—2841no—
1654C2×C8—2841no—
1655C2×C8—2841no—
1656C2×C8—2841no—
1657C2×C8—711no—
1658C2×C8—711no—
1659C2×C8—711no—
1660C2×C8—711no—
1661C2×C8C23×D7111yescharacteristic
1662C2×C8C23×D7111yescharacteristic
1663C2×C8C23×D7111yescharacteristic
1664C2×C8C23×D7111yescharacteristic
1665C4⋊C4—21no—
1666C4⋊C4—711no—
1667C4⋊C4—711no—
1668C4⋊C4—711no—
1669C4⋊C4—711no—
1670C4⋊C4—711no—
1671C4⋊C4—711no—
1672C4⋊C4—711no—
1673C4⋊C4—1421no—
1674C4⋊C4—1421no—
1675C4⋊C4—1421no—
1676C4⋊C4—1421no—
1677C4⋊C4—1421no—
1678C4⋊C4—1421no—
1679C4⋊C4—1421no—
1680C4⋊C4—1421no—
1681C4⋊C4—1421no—
1682C4⋊C4—1421no—
1683C4⋊C4D4×D7111yescharacteristic
1684C4⋊C4C23×D7111yescharacteristic
1685C4⋊C4C23×D7111yescharacteristic
1686C4⋊C4C23×D7111yescharacteristic
1687C4⋊C4C23×D7111yescharacteristic
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4—21no—
1695C22⋊C4—21no—
1696C22⋊C4—711no—
1697C22⋊C4—711no—
1698C22⋊C4—711no—
1699C22⋊C4—711no—
1700C22⋊C4—711no—
1701C22⋊C4—711no—
1702C22⋊C4—711no—
1703C22⋊C4—711no—
1704C22⋊C4—1421no—
1705C22⋊C4—1421no—
1706C22⋊C4—1421no—
1707C22⋊C4—1421no—
1708C22⋊C4—1421no—
1709C22⋊C4—1421no—
1710C22⋊C4—1421no—
1711C22⋊C4—1421no—
1712C22⋊C4—1421no—
1713C22⋊C4—1421no—
1714C22⋊C4—1421no—
1715C22⋊C4—1421no—
1716C22⋊C4—1421no—
1717C22⋊C4—1421no—
1718C22⋊C4—1421no—
1719C22⋊C4—1421no—
1720C22⋊C4—1421no—
1721C22⋊C4—1421no—
1722C22⋊C4—1421no—
1723C22⋊C4—1421no—
1724C22⋊C4—1421no—
1725C22⋊C4—1421no—
1726C22⋊C4—1421no—
1727C22⋊C4—1421no—
1728C22⋊C4—1421no—
1729C22⋊C4—1421no—
1730C22⋊C4—1421no—
1731C22⋊C4—1421no—
1732C22⋊C4D4×D7111yescharacteristic
1733C22⋊C4D4×D7111yescharacteristic
1734C42—21no—
1735C42—21no—
1736C42—711no—
1737C42—1421no—
1738C42—1421no—
1739C42C23×D7111yescharacteristic
1740C23—21no—
1741C23—21no—
1742C23—21no—
1743C23—21no—
1744C23—42no—
1745C23—42no—
1746C23—42no—
1747C23—81no—
1748C23—81no—
1749C23—81no—
1750C23—2841no—
1751C23—2841no—
1752C23—2842no—
1753C23—2842no—
1754C23—2842no—
1755C23—2842no—
1756C23—2842no—
1757C23—2842no—
1758C23—2842no—
1759C23—2842no—
1760C23—2842no—
1761C23—5681no—
1762C23—5681no—
1763C23—5681no—
1764C23—5681no—
1765C23—5681no—
1766C23—5681no—
1767C23—5681no—
1768C23—5681no—
1769C23—5681no—
1770C23—5681no—
1771C23—5681no—
1772C23—5681no—
1773C23—5681no—
1774C23—5681no—
1775C23—56816no—
1776C23—711no—
1777C23—711no—
1778C23—711no—
1779C23—1422no—
1780C23—1424no—
1781C23—1421no—
1782C23—1421no—
1783C23—1421no—
1784C23—1421no—
1785C23C2×D4×D7111yescharacteristic
1786C23C2×D4×D7111yescharacteristic
1787Q8—81no—
1788Q8—2841no—
1789Q8—1421no—
1790Q8—1421no—
1791Q8—1421no—
1792Q8—1421no—
1793D4—21no—
1794D4—21no—
1795D4—21no—
1796D4—21no—
1797D4—21no—
1798D4—21no—
1799D4—21no—
1800D4—41no—
1801D4—42no—
1802D4—42no—
1803D4—42no—
1804D4—81no—
1805D4—81no—
1806D4—81no—
1807D4—81no—
1808D4—81no—
1809D4—2842no—
1810D4—2841no—
1811D4—2842no—
1812D4—2842no—
1813D4—2842no—
1814D4—2842no—
1815D4—2842no—
1816D4—2842no—
1817D4—2841no—
1818D4—2841no—
1819D4—2841no—
1820D4—2842no—
1821D4—2842no—
1822D4—2842no—
1823D4—5681no—
1824D4—5681no—
1825D4—5681no—
1826D4—5681no—
1827D4—5681no—
1828D4—5681no—
1829D4—5681no—
1830D4—5681no—
1831D4—5681no—
1832D4—5681no—
1833D4—5681no—
1834D4—5681no—
1835D4—5681no—
1836D4—5681no—
1837D4—5681no—
1838D4—5681no—
1839D4—5681no—
1840D4—712no—
1841D4—1422no—
1842D4—1422no—
1843D4—1424no—
1844D4—1421no—
1845D4—1421no—
1846D4—1421no—
1847D4—1421no—
1848D4—1421no—
1849D4—1421no—
1850D4—1421no—
1851D4#1455617412yes—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—21no—
1859C2×C4—21no—
1860C2×C4—81no—
1861C2×C4—81no—
1862C2×C4—2842no—
1863C2×C4—2841no—
1864C2×C4—2841no—
1865C2×C4—2842no—
1866C2×C4—2842no—
1867C2×C4—2842no—
1868C2×C4—2841no—
1869C2×C4—5681no—
1870C2×C4—5681no—
1871C2×C4—5681no—
1872C2×C4—5681no—
1873C2×C4—5681no—
1874C2×C4—5681no—
1875C2×C4—5681no—
1876C2×C4—5681no—
1877C2×C4—711no—
1878C2×C4—711no—
1879C2×C4—711no—
1880C2×C4—711no—
1881C2×C4—711no—
1882C2×C4—1421no—
1883C2×C4—1421no—
1884C2×C4—1421no—
1885C2×C4—1421no—
1886C2×C4—1421no—
1887C2×C4—1421no—
1888C2×C4—1421no—
1889C2×C4—1421no—
1890C2×C4—1421no—
1891C2×C4—1421no—
1892C2×C4C2×D4×D7111yescharacteristic
1893C2×C4C2×D4×D7111yescharacteristic
1894C2×C4C2×D4×D7111yescharacteristic
1895C2×C4C2×D4×D7111yescharacteristic
1896C2×C4C24×D7111yescharacteristic
1897C8—21no—
1898C8—21no—
1899C8—21no—
1900C8—21no—
1901C8—1421no—
1902C8—1421no—
1903C8—1421no—
1904C8—1421no—
1905C22—21no—
1906C22—21no—
1907C22—21no—
1908C22—21no—
1909C22—21no—
1910C22—21no—
1911C22—22no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—41no—
1920C22—41no—
1921C22—41no—
1922C22—41no—
1923C22—84no—
1924C22—162no—
1925C22—2844no—
1926C22—2841no—
1927C22—2841no—
1928C22—2841no—
1929C22—2841no—
1930C22—2841no—
1931C22—2841no—
1932C22—2841no—
1933C22—2841no—
1934C22—2841no—
1935C22—2841no—
1936C22—2841no—
1937C22—5684no—
1938C22—5684no—
1939C22—5684no—
1940C22—5684no—
1941C22—5684no—
1942C22—712no—
1943C22—11362no—
1944C22—11362no—
1945C22—11362no—
1946C22—1421no—
1947C22—1421no—
1948C22—1421no—
1949C22—1421no—
1950C22—1421no—
1951C22—1422no—
1952C22—1421no—
1953C22—1421no—
1954C22—1421no—
1955C22C22×D4×D7111yescharacteristic
1956C4—21no—
1957C4—21no—
1958C4—21no—
1959C4—21no—
1960C4—41no—
1961C4—41no—
1962C4—41no—
1963C4—41no—
1964C4—2841no—
1965C4—2841no—
1966C4—2841no—
1967C4—2841no—
1968C4—1421no—
1969C4—1421no—
1970C4—1421no—
1971C4—1421no—
1972C4—1421no—
1973C4H(5,𝔽2)×D7111yescharacteristic
1974C4C2×#1455617411yescharacteristic
1975C2—41no—
1976C2—41no—
1977C2—42no—
1978C2—81no—
1979C2—81no—
1980C2—81no—
1981C2—2841no—
1982C2—2842no—
1983C2—2841no—
1984C2—5681no—
1985C2—5681no—
1986C2—5681no—
1987C2—1422no—
1988C2#2260197011yescharacteristic
1989C2#576×D7111yescharacteristic
1990C2#2260311611yescharacteristic
subgroupG/H
centerC22C22×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3325C2
socleC22×C71C23×D4
hypercenter#3325D71
hypocenterC71#61609
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3325

Complements

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

NH ≅ G/Ntype
1. #22602663C2semidirect
2. #22601968C2semidirect
3. #22600537C2semidirect
4. #22600490C2semidirect
5. #22600484C2semidirect
6. #22600362C2semidirect
7. #22600298C2semidirect
8. #22600178C2semidirect
9. #22600152C2semidirect
10. #22600026C2semidirect
11. #22600010C2semidirect
12. #22599957C2semidirect
13. #22599952C2semidirect
14. #22599878C2semidirect
15. #22599827C2semidirect
16. #22599816C2semidirect
17. #22599815C2semidirect
18. #22599437C2semidirect
19. #22599389C2semidirect
20. #22599204C2semidirect
21. #22599187C2semidirect
22. #22599149C2semidirect
23. #22599131C2semidirect
24. #22598580C2semidirect
25. #22598529C2semidirect
26. #22597639C2semidirect
27. #22597609C2semidirect
28. #22597569C2semidirect
29. #447×D71C2semidirect
30. #22597384C2semidirect
31. C71×#3325C2semidirect
32. C2×#14556173C22semidirect
33. C22×D4×D71C22semidirect
34. C2×#14556156C22semidirect
35. C2×#14556156C22semidirect
36. C2×#14556154C22semidirect
37. C2×#14556152C22semidirect
38. C2×#14556147C22semidirect
39. C22×#11765850C22semidirect
40. C2×D8×D71C22semidirect
41. C2×D8×D71C22semidirect
44. #17986693C22semidirect
45. #17986688C22semidirect
47. #17986667C22semidirect
48. #17986652C22semidirect
50. #17986645C22semidirect
51. #17986645C22semidirect
52. #17986644C22semidirect
53. #17986644C22semidirect
54. #17986643C22semidirect
58. #17986634C22semidirect
59. #17986633C22semidirect
60. #17986633C22semidirect
64. #17986623C22semidirect
66. #17986600C22semidirect
68. #17986578C22semidirect
69. #17986568C22semidirect
71. #17986565C22semidirect
72. #17986562C22semidirect
76. #17986511C22semidirect
77. #17986509C22semidirect
79. #121×D71C22semidirect
82. #17986471C22semidirect
83. #17986387C22semidirect
84. #17986386C22semidirect
85. #17986383C22semidirect
86. #17986374C22semidirect
87. #17986362C22semidirect
88. #17986361C22semidirect
89. #17986352C22semidirect
90. #17986343C22semidirect
91. #17986340C22semidirect
92. #17986331C22semidirect
93. #17986326C22semidirect
94. #17986325C22semidirect
95. #17986323C22semidirect
96. #17986321C22semidirect
97. #17986319C22semidirect
98. #17986311C22semidirect
99. #17986311C22semidirect
100. #17986302C22semidirect
101. #17986297C22semidirect
102. #17986276C22semidirect
103. #17986253C22semidirect
104. #17986251C22semidirect
105. #17986250C22semidirect
106. #17986245C22semidirect
107. #17986245C22semidirect
108. #17986243C22semidirect
109. #17986241C22semidirect
110. #17986236C22semidirect
111. #17986234C22semidirect
112. #17986234C22semidirect
113. #17986233C22semidirect
114. #17986229C22semidirect
115. #17986227C22semidirect
116. #17986226C22semidirect
117. #17986220C22semidirect
118. #17986215C22semidirect
119. #17986215C22semidirect
120. #17986214C22semidirect
121. #17986214C22semidirect
122. #17986213C22semidirect
123. #17986198C22semidirect
124. #17986193C22semidirect
125. #17986193C22semidirect
126. #17986192C22semidirect
127. #17986191C22semidirect
128. #17986163C22semidirect
129. #17986163C22semidirect
130. #17986162C22semidirect
131. #17986151C22semidirect
132. #17986151C22semidirect
133. #17986151C22semidirect
134. #17986151C22semidirect
135. #17986151C22semidirect
136. #17986150C22semidirect
137. #17986145C22semidirect
138. #17986145C22semidirect
139. #17986145C22semidirect
140. #17986145C22semidirect
141. #17986145C22semidirect
142. #17986142C22semidirect
143. #17986142C22semidirect
144. #17986141C22semidirect
145. #17986141C22semidirect
146. #17986135C22semidirect
147. #17986135C22semidirect
149. #17986134C22semidirect
150. #17986134C22semidirect
151. #17986134C22semidirect
152. #17986134C22semidirect
153. #17986134C22semidirect
154. #17986134C22semidirect
155. #17986134C22semidirect
156. #17986133C22semidirect
157. #17986132C22semidirect
158. #17986132C22semidirect
159. #17986131C22semidirect
160. #17986131C22semidirect
161. #17986131C22semidirect
162. #17986110C22semidirect
163. #17986109C22semidirect
164. #17986109C22semidirect
165. #17986096C22semidirect
166. #17986086C22semidirect
167. C4×D568C22semidirect
168. #17986079C22semidirect
169. #17986075C22semidirect
170. #17986073C22semidirect
171. #17986071C22semidirect
172. #17986069C22semidirect
173. #17986068C22semidirect
174. C8×D284C22semidirect
175. (C22⋊D71)⋊C8C22semidirect
176. #17986059C22semidirect
177. #17986058C22semidirect
178. #17986003C22semidirect
179. #17985997C22semidirect
180. #17985993C22semidirect
181. #102×D71C22semidirect
182. #102×D71C22semidirect
183. #102×D71C22semidirect
184. #17985967C22semidirect
185. #17985964C22semidirect
186. #17985962C22semidirect
187. C22⋊C8×D71C22semidirect
188. #555×C71C22semidirect
189. D42×C71C22semidirect
190. #486×C71C22semidirect
191. #482×C71C22semidirect
192. #482×C71C22semidirect
193. #476×C71C22semidirect
194. #469×C71C22semidirect
195. #469×C71C22semidirect
196. #459×C71C22semidirect
197. #447×C71C22semidirect
198. #447×C71C22semidirect
199. C4×D8×C71C22semidirect
200. #436×C71C22semidirect
201. #418×C71C22semidirect
202. #418×C71C22semidirect
213. C2×#11765864C23semidirect
215. C22×D284C23semidirect
241. C2×Dic284C23semidirect
244. C2×#11765854C23semidirect
245. C2×#11765854C23semidirect
248. C2×#11765853C23semidirect
249. C2×#11765853C23semidirect
261. C2×#11765850C23semidirect
262. C2×#11765850C23semidirect
266. C2×#11765848C23semidirect
267. C22×C71⋊C8C23semidirect
270. C2×C8×D71C23semidirect
275. #14556124C23semidirect
280. #14556119C23semidirect
284. #14556116C23semidirect
308. #14556107C23semidirect
318. #14556103C23semidirect
319. #14556103C23semidirect
373. #14556093C23semidirect
379. C4×D284C23semidirect
383. #14556090C23semidirect
394. C4⋊C4×D71C23semidirect
404. #14556062C23semidirect
405. #14556061C23semidirect
406. #14556061C23semidirect
407. #14556059C23semidirect
408. #14556059C23semidirect
409. C4⋊(C71⋊C8)C23semidirect
410. Dic71⋊C8C23semidirect
411. Dic71⋊C8C23semidirect
412. #14556053C23semidirect
413. #14556053C23semidirect
414. #14556051C23semidirect
415. #14556051C23semidirect
416. #14556051C23semidirect
417. #14556051C23semidirect
420. #14556050C23semidirect
421. #14556050C23semidirect
424. #14556049C23semidirect
425. #14556049C23semidirect
432. #14556048C23semidirect
433. #14556048C23semidirect
435. C22⋊(C71⋊C8)C23semidirect
442. (C2×D71)⋊C8C23semidirect
443. (C2×D71)⋊C8C23semidirect
444. #14556039C23semidirect
445. #14556038C23semidirect
446. C8×Dic71C23semidirect
452. C2×D8×C71C23semidirect
454. C2×M16×C71C23semidirect
455. C4⋊Q8×C71C23semidirect
464. #121×C71C23semidirect
469. C4×D4×C71C23semidirect
472. #117×C71C23semidirect
473. #107×C71C23semidirect
474. #106×C71C23semidirect
475. #106×C71C23semidirect
476. C4⋊C8×C71C23semidirect
483. #102×C71C23semidirect
484. #102×C71C23semidirect
485. #102×C71C23semidirect
486. #102×C71C23semidirect
488. C22⋊C8×C71C23semidirect
489. C4×C8×C71C23semidirect
998. #3325D71semidirect
1027. C71#61609semidirect
1040. #555C2×D71semidirect
1061. D42C2×D71semidirect
1088. #486C2×D71semidirect
1096. #482C2×D71semidirect
1097. #482C2×D71semidirect
1103. #476C2×D71semidirect
1108. #469C2×D71semidirect
1109. #469C2×D71semidirect
1132. #459C2×D71semidirect
1167. #447C2×D71semidirect
1168. #447C2×D71semidirect
1176. C4×D8C2×D71semidirect
1178. #436C2×D71semidirect
1188. #418C2×D71semidirect
1189. #418C2×D71semidirect
1266. C2×D8C22×D71semidirect
1270. C2×M16C22×D71semidirect
1275. C4⋊Q8C22×D71semidirect
1362. #121C22×D71semidirect
1408. C4×D4C22×D71semidirect
1414. #117C22×D71semidirect
1429. #107C22×D71semidirect
1432. #106C22×D71semidirect
1433. #106C22×D71semidirect
1437. C4⋊C8C22×D71semidirect
1466. #102C22×D71semidirect
1467. #102C22×D71semidirect
1468. #102C22×D71semidirect
1469. #102C22×D71semidirect
1481. C22⋊C8C22×D71semidirect
1485. C4×C8C22×D71semidirect

Maximal subgroups

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

subgroupindex
#226026632
#226019682
#226005372
#226004902
#226004842
#226003622
#226002982
#226001782
#226001522
#226000262
#226000102
#225999572
#225999522
#225998782
#225998272
#225998162
#225998152
#225994372
#225993892
#225992042
#225991872
#225991492
#225991312
#225985802
#225985292
#225976392
#225976092
#225975692
#447×D712
#225973842
C71×#33252
#6160971