Finite Group Databasebeta

← #35173729

Subgroups — #35173729

Order 20224.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D4×#11929624C211yesmaximal, characteristic, complemented
2#23775662C211yesmaximal, characteristic, complemented
3#23775610C211yesmaximal, characteristic, complemented
4#23775565C211yesmaximal, characteristic, complemented
5#23775535C211yesmaximal, characteristic, complemented
6#23775520C211yesmaximal, characteristic, complemented
7#23775490C211yesmaximal, characteristic, complemented
8#23775296C211yesmaximal, characteristic, complemented
9#23775244C211yesmaximal, characteristic, complemented
10#23775137C211yesmaximal, characteristic, complemented
11#23775108C211yesmaximal, characteristic, complemented
12#23775027C211yesmaximal, characteristic, complemented
13#23775007C211yesmaximal, characteristic, complemented
14#23774966C211yesmaximal, characteristic, complemented
15#23774936C211yesmaximal, characteristic, complemented
16#23774921C211yesmaximal, characteristic, complemented
17#23774896C211yesmaximal, characteristic, complemented
18#23774433C211yesmaximal, characteristic, complemented
19#23774372C211yesmaximal, characteristic, complemented
20#23774237C211yesmaximal, characteristic, complemented
21#23774230C211yesmaximal, characteristic, complemented
22#23774188C211yesmaximal, characteristic, complemented
23#23774165C211yesmaximal, characteristic, complemented
24#23773503C211yesmaximal, characteristic, complemented
25#23773412C211yesmaximal, characteristic, complemented
26#23772650C211yesmaximal, characteristic, complemented
27#23772640C211yesmaximal, characteristic, complemented
28#23772616C211yesmaximal, characteristic, complemented
29C2×#19098723C211yesmaximal, characteristic, complemented
30#23772435C211yesmaximal, characteristic, complemented
31C79×#3505C211yesmaximal, characteristic, complemented
32C22×#11929624C2211yescharacteristic
33C22×#11929624C2211yescharacteristic, complemented
34C2×#14579191C2211yescharacteristic, complemented
35C2×#14579187C2211yescharacteristic, complemented
36C2×#14579187C2211yescharacteristic, complemented
37C2×#14579186C2211yescharacteristic, complemented
38C2×#14579181C2211yescharacteristic, complemented
39C2×#14579181C2211yescharacteristic, complemented
40C22×#11929614C2211yescharacteristic, complemented
41C22×#11929611C2211yescharacteristic, complemented
42#19099234C2211yescharacteristic
43D4×Dic158C2211yescharacteristic, complemented
44#19099222C2211yescharacteristic
45#19099222C2211yescharacteristic, complemented
46#19099218C2211yescharacteristic
47#19099214—21no—
48#19099209C2211yescharacteristic
49#19099209C2211yescharacteristic, complemented
50#19099203—21no—
51#19099203—21no—
52D4×D316C2211yescharacteristic, complemented
53D4×C22⋊D79—21no—
54#19099113C2211yescharacteristic, complemented
55#19099110—21no—
56#19099074C2211yescharacteristic
57#19099074C2211yescharacteristic, complemented
58#19099072—21no—
59#19099072—21no—
60C4×#11929624C2211yescharacteristic, complemented
61C4×D4×D79—21no—
62#19098958C2211yescharacteristic, complemented
63#19098953C2211yescharacteristic, complemented
64#19098945C2211yescharacteristic, complemented
65#19098945C2211yescharacteristic, complemented
66#19098933C2211yescharacteristic, complemented
67#19098929C2211yescharacteristic, complemented
68#19098920C2211yescharacteristic, complemented
69#19098920C2211yescharacteristic, complemented
70#19098904C2211yescharacteristic, complemented
71#19098904C2211yescharacteristic, complemented
72#19098901C2211yescharacteristic, complemented
73#19098901C2211yescharacteristic, complemented
74#19098898C2211yescharacteristic, complemented
75#19098898C2211yescharacteristic, complemented
76#19098887C2211yescharacteristic, complemented
77#19098887C2211yescharacteristic, complemented
78#19098884C2211yescharacteristic, complemented
79#19098884C2211yescharacteristic, complemented
80#19098881C2211yescharacteristic, complemented
81#19098881C2211yescharacteristic, complemented
82#19098867C2211yescharacteristic, complemented
83#19098867C2211yescharacteristic, complemented
84#19098860C2211yescharacteristic, complemented
85#19098860C2211yescharacteristic, complemented
86#19098819C2211yescharacteristic, complemented
87#19098819C2211yescharacteristic, complemented
88#19098819C2211yescharacteristic, complemented
89#19098814C2211yescharacteristic, complemented
90#19098811C2211yescharacteristic, complemented
91#19098811C2211yescharacteristic, complemented
92#19098811C2211yescharacteristic, complemented
93#19098807C2211yescharacteristic, complemented
94#19098802C2211yescharacteristic, complemented
95#19098797C2211yescharacteristic, complemented
96#19098797C2211yescharacteristic, complemented
97#19098797C2211yescharacteristic, complemented
98#19098794C2211yescharacteristic, complemented
99#19098790C2211yescharacteristic, complemented
100#19098790C2211yescharacteristic, complemented
101#19098790C2211yescharacteristic, complemented
102#19098785C2211yescharacteristic, complemented
103#19098785C2211yescharacteristic, complemented
104#19098782C2211yescharacteristic, complemented
105#19098782C2211yescharacteristic, complemented
106#19098778C2211yescharacteristic, complemented
107#19098778C2211yescharacteristic, complemented
108#19098775C2211yescharacteristic, complemented
109#19098775C2211yescharacteristic, complemented
110#19098773C2211yescharacteristic, complemented
111#19098768C2211yescharacteristic, complemented
112#19098763C2211yescharacteristic, complemented
113#19098758C2211yescharacteristic, complemented
114#19098725C2211yescharacteristic, complemented
115#19098725C2211yescharacteristic, complemented
116#19098723C2211yescharacteristic, complemented
117#19098723C2211yescharacteristic, complemented
118#19098723C2211yescharacteristic, complemented
119#19098723C2211yescharacteristic, complemented
120#19098723C2211yescharacteristic, complemented
121#19098723C2211yescharacteristic, complemented
122#19098723C2211yescharacteristic, complemented
123#19098723C2211yescharacteristic, complemented
124#19098723C2211yescharacteristic, complemented
125#19098723C2211yescharacteristic, complemented
126#19098723C2211yescharacteristic, complemented
127#19098723C2211yescharacteristic, complemented
128#19098719C2211yescharacteristic, complemented
129#19098718C2211yescharacteristic, complemented
130#19098714C2211yescharacteristic, complemented
131#19098713C2211yescharacteristic, complemented
132#19098708C2211yescharacteristic, complemented
133#19098708C2211yescharacteristic, complemented
134#19098706C2211yescharacteristic
135#19098706C2211yescharacteristic
136#19098706C2211yescharacteristic, complemented
137#19098706C2211yescharacteristic, complemented
138#19098706C2211yescharacteristic, complemented
139#19098706C2211yescharacteristic, complemented
140#19098706C2211yescharacteristic, complemented
141#19098706C2211yescharacteristic, complemented
142#19098702C2211yescharacteristic, complemented
143#19098701C2211yescharacteristic, complemented
144#19098701C2211yescharacteristic, complemented
145#19098701C2211yescharacteristic, complemented
146#19098697C2211yescharacteristic, complemented
147#19098696C2211yescharacteristic, complemented
148#19098696C2211yescharacteristic, complemented
149#19098696C2211yescharacteristic, complemented
150#19098673C2211yescharacteristic, complemented
151#19098668C2211yescharacteristic, complemented
152#19098663C2211yescharacteristic, complemented
153#19098661C2211yescharacteristic, complemented
154C4×#11929614C2211yescharacteristic, complemented
155C4×#11929611C2211yescharacteristic, complemented
156C4×#11929612C2211yescharacteristic, complemented
157C4×#11929609C2211yescharacteristic, complemented
158#19098641C2211yescharacteristic, complemented
159#19098641C2211yescharacteristic, complemented
160#19098635C2211yescharacteristic, complemented
161#19098635C2211yescharacteristic, complemented
162#19098635C2211yescharacteristic, complemented
163#19098635C2211yescharacteristic, complemented
164D4×C79⋊C8C2211yescharacteristic, complemented
165D4×C79⋊C8C2211yescharacteristic, complemented
166#19098620C2211yescharacteristic, complemented
167#19098616C2211yescharacteristic, complemented
168#19098571C2211yescharacteristic, complemented
169#19098567C2211yescharacteristic, complemented
170#19098562C2211yescharacteristic, complemented
171#19098562C2211yescharacteristic, complemented
172#19098557C2211yescharacteristic, complemented
173#19098557C2211yescharacteristic, complemented
174C2×#14579084C2211yescharacteristic, complemented
175C2×#14579081C2211yescharacteristic, complemented
176#19098527C2211yescharacteristic, complemented
177#19098527C2211yescharacteristic, complemented
178C2×C22⋊(C79⋊C8)C2211yescharacteristic, complemented
179C2×C22⋊(C79⋊C8)C2211yescharacteristic, complemented
180#553×C79—21no—
181#553×C79—21no—
182#553×C79C2211yescharacteristic
183#553×C79C2211yescharacteristic, complemented
184#552×C79C2211yescharacteristic, complemented
185#552×C79C2211yescharacteristic, complemented
186#551×C79—21no—
187#551×C79—21no—
188#548×C79C2211yescharacteristic
189#548×C79C2211yescharacteristic, complemented
190#546×C79C2211yescharacteristic, complemented
191#546×C79C2211yescharacteristic, complemented
192#539×C79—21no—
193#538×C79—21no—
194#534×C79—21no—
195#529×C79C2211yescharacteristic, complemented
196#529×C79C2211yescharacteristic, complemented
197#525×C79C2211yescharacteristic, complemented
198#525×C79C2211yescharacteristic, complemented
199C2×C22⋊Q8×C79C2211yescharacteristic, complemented
200C2×#121×C79C2211yescharacteristic, complemented
201#518×C79—21no—
202C2×C4×D4×C79C2211yescharacteristic
203C2×#11929624—21no—
204C2×#11929624—21no—
205C2×#11929624—21no—
206C2×#11929624—21no—
207C2×#11929624—42no—
208C2×#11929624—42no—
209C2×#11929624—42no—
210C2×#11929624—42no—
211C2×#11929624C2311yescharacteristic
212C2×#11929624C2311yescharacteristic
213C2×#11929624C2311yescharacteristic
214C2×#11929624C2311yescharacteristic
215C2×#11929624C2311yescharacteristic
216C2×#11929624C2311yescharacteristic
217C2×#11929624C2311yescharacteristic
218C22×Dic158C2311yescharacteristic
219C22×Dic158C2311yescharacteristic
220C22×D316C2311yescharacteristic
221C22×D316C2311yescharacteristic
222C22×C22⋊D79—21no—
223C22×C22⋊D79—21no—
224C2×D4×D79—21no—
225C22×C4×D79—21no—
226C22×C4×D79—21no—
227#14579191—42no—
228#14579187—42no—
229#14579187—42no—
230#14579186—42no—
231#14579181—42no—
232#14579181—42no—
233C2×#11929614—42no—
234C2×#11929614C2311yescharacteristic
235C2×#11929614C2311yescharacteristic
236C2×#11929614C2311yescharacteristic
237C2×#11929614C2311yescharacteristic
238C2×#11929614C2311yescharacteristic
239C2×#11929614C2311yescharacteristic
240C2×#11929612C2311yescharacteristic
241C2×#11929612C2311yescharacteristic
242C2×#11929612C2311yescharacteristic
243C2×#11929612C2311yescharacteristic
244C2×#11929612C2311yescharacteristic
245C2×#11929612C2311yescharacteristic
246C2×#11929611—42no—
247C2×#11929611C2311yescharacteristic
248C2×#11929611C2311yescharacteristic
249C2×#11929611C2311yescharacteristic
250C2×#11929611C2311yescharacteristic
251C2×#11929611C2311yescharacteristic
252C2×#11929611C2311yescharacteristic
253C2×#11929609C2311yescharacteristic
254C2×#11929609C2311yescharacteristic
255C2×#11929609C2311yescharacteristic
256C2×#11929609C2311yescharacteristic
257C2×#11929609C2311yescharacteristic
258C2×#11929609C2311yescharacteristic
259C2×#11929608C2311yescharacteristic
260C2×#11929608C2311yescharacteristic
261C2×#11929608C2311yescharacteristic
262C2×#11929608C2311yescharacteristic
263C22×C79⋊C8C2311yescharacteristic
264C22×C79⋊C8C2311yescharacteristic
265C22×C79⋊C8C2311yescharacteristic
266C22×C79⋊C8C2311yescharacteristic
267#14579161C2311yescharacteristic
268#14579160—21no—
269#14579158C2311yescharacteristic
270#14579157—21no—
271#14579149C2311yescharacteristic
272#14579149C2311yescharacteristic
273#14579147—21no—
274#14579147—21no—
275#14579146—21no—
276#14579146—21no—
277#14579144—21no—
278#14579144—21no—
279#14579143—21no—
280#14579143—21no—
281#14579140C2311yescharacteristic
282#14579140C2311yescharacteristic
283#14579140C2311yescharacteristic
284#14579140C2311yescharacteristic
285#14579139—21no—
286#14579139—21no—
287#14579138—21no—
288#14579138—21no—
289#14579136—21no—
290#14579135—21no—
291#14579135—21no—
292#14579135C2311yescharacteristic
293#14579135C2311yescharacteristic
294#14579135C2311yescharacteristic
295#14579135C2311yescharacteristic
296#14579134—21no—
297#14579134—21no—
298#14579134—21no—
299#14579134—21no—
300#14579133—21no—
301#14579133—21no—
302#14579132—21no—
303#14579131—21no—
304#14579131—21no—
305#14579130—21no—
306#14579130—21no—
307#14579129—21no—
308#14579129—21no—
309C4×Dic158C2311yescharacteristic
310C4×Dic158C2311yescharacteristic
311C4×D316—21no—
312C4×D316—21no—
313C4×D316C2311yescharacteristic
314C4×D316C2311yescharacteristic
315D4×Dic79—21no—
316#14579123—21no—
317C4×C22⋊D79—21no—
318C4×C22⋊D79—21no—
319C4×C22⋊D79—21no—
320C4×C22⋊D79—21no—
321C4×C22⋊D79—21no—
322C4×C22⋊D79—21no—
323(C22⋊D79)⋊C4—21no—
324(C22⋊D79)⋊C4—21no—
325#14579120C2311yescharacteristic
326#14579118—21no—
327C4⋊C4×D79—21no—
328C22⋊C4×D79—21no—
329C22⋊C4×D79—21no—
330C42×D79—21no—
331#14579094C2311yescharacteristic
332#14579094C2311yescharacteristic
333#14579094C2311yescharacteristic
334#14579094C2311yescharacteristic
335#14579092C2311yescharacteristic
336#14579092C2311yescharacteristic
337#14579092C2311yescharacteristic
338#14579092C2311yescharacteristic
339C4⋊(C79⋊C8)C2311yescharacteristic
340C4⋊(C79⋊C8)C2311yescharacteristic
341C4⋊(C79⋊C8)C2311yescharacteristic
342C4⋊(C79⋊C8)C2311yescharacteristic
343#14579085C2311yescharacteristic
344#14579085C2311yescharacteristic
345#14579085C2311yescharacteristic
346#14579085C2311yescharacteristic
347#14579084C2311yescharacteristic
348#14579084C2311yescharacteristic
349#14579084C2311yescharacteristic
350#14579084C2311yescharacteristic
351#14579084C2311yescharacteristic
352#14579084C2311yescharacteristic
353#14579084C2311yescharacteristic
354#14579084C2311yescharacteristic
355#14579084C2311yescharacteristic
356#14579084C2311yescharacteristic
357#14579084C2311yescharacteristic
358#14579084C2311yescharacteristic
359#14579082C2311yescharacteristic
360#14579082C2311yescharacteristic
361#14579082C2311yescharacteristic
362#14579082C2311yescharacteristic
363#14579081C2311yescharacteristic
364#14579081C2311yescharacteristic
365#14579081C2311yescharacteristic
366#14579081C2311yescharacteristic
367#14579081C2311yescharacteristic
368#14579081C2311yescharacteristic
369#14579081C2311yescharacteristic
370#14579081C2311yescharacteristic
371#14579081C2311yescharacteristic
372#14579081C2311yescharacteristic
373#14579081C2311yescharacteristic
374#14579081C2311yescharacteristic
375C22⋊(C79⋊C8)C2311yescharacteristic
376C22⋊(C79⋊C8)C2311yescharacteristic
377C22⋊(C79⋊C8)C2311yescharacteristic
378C22⋊(C79⋊C8)C2311yescharacteristic
379C22⋊(C79⋊C8)C2311yescharacteristic
380C22⋊(C79⋊C8)C2311yescharacteristic
381C22⋊(C79⋊C8)C2311yescharacteristic
382C22⋊(C79⋊C8)C2311yescharacteristic
383C22⋊(C79⋊C8)C2311yescharacteristic
384C22⋊(C79⋊C8)C2311yescharacteristic
385C22⋊(C79⋊C8)C2311yescharacteristic
386C22⋊(C79⋊C8)C2311yescharacteristic
387#14579072C2311yescharacteristic
388#14579072C2311yescharacteristic
389C4×C79⋊C8C2311yescharacteristic
390C4×C79⋊C8C2311yescharacteristic
391C2×#41×C79C2311yescharacteristic
392C2×#41×C79C2311yescharacteristic
393C22×Q8×C79C2311yescharacteristic
394C22×D4×C79—21no—
395C22×D4×C79D411yescharacteristic
396C22×D4×C79C2311yescharacteristic
397C23×C4×C79C2311yescharacteristic
398C23×C4×C79C2311yescharacteristic
399#126×C79—21no—
400#126×C79—21no—
401#126×C79—21no—
402#126×C79—21no—
403#126×C79—21no—
404#126×C79—21no—
405#125×C79—21no—
406#125×C79—21no—
407#125×C79C2311yescharacteristic
408#125×C79C2311yescharacteristic
409#124×C79—21no—
410#124×C79—21no—
411#124×C79C2311yescharacteristic
412#124×C79C2311yescharacteristic
413#123×C79—21no—
414#123×C79—21no—
415#123×C79—21no—
416#123×C79—21no—
417#123×C79—21no—
418#123×C79—21no—
419#123×C79—21no—
420#123×C79—21no—
421#123×C79—21no—
422#123×C79—21no—
423C22⋊Q8×C79—21no—
424C22⋊Q8×C79—21no—
425C22⋊Q8×C79—21no—
426C22⋊Q8×C79—21no—
427C22⋊Q8×C79C2311yescharacteristic
428C22⋊Q8×C79C2311yescharacteristic
429C22⋊Q8×C79C2311yescharacteristic
430C22⋊Q8×C79C2311yescharacteristic
431C22⋊Q8×C79C2311yescharacteristic
432C22⋊Q8×C79C2311yescharacteristic
433#121×C79—21no—
434#121×C79—21no—
435#121×C79—21no—
436#121×C79—21no—
437#121×C79—21no—
438#121×C79—21no—
439#121×C79—21no—
440#121×C79—21no—
441#121×C79C2311yescharacteristic
442#121×C79C2311yescharacteristic
443#121×C79C2311yescharacteristic
444#121×C79C2311yescharacteristic
445#121×C79C2311yescharacteristic
446#121×C79C2311yescharacteristic
447#120×C79—21no—
448#120×C79—21no—
449#120×C79—21no—
450#120×C79—21no—
451C4×Q8×C79C2311yescharacteristic
452C4×Q8×C79C2311yescharacteristic
453C4×D4×C79—21no—
454C4×D4×C79—21no—
455C4×D4×C79—21no—
456C4×D4×C79—21no—
457C4×D4×C79—21no—
458C4×D4×C79—21no—
459C4×D4×C79—21no—
460C4×D4×C79—21no—
461C4×D4×C79—21no—
462C4×D4×C79—21no—
463C4×D4×C79D411yescharacteristic
464C4×D4×C79D411yescharacteristic
465C4×D4×C79D411yescharacteristic
466C4×D4×C79D411yescharacteristic
467C4×D4×C79C2311yescharacteristic
468C4×D4×C79C2311yescharacteristic
469C4×D4×C79C2311yescharacteristic
470C4×D4×C79C2311yescharacteristic
471C4×D4×C79C2311yescharacteristic
472C4×D4×C79C2311yescharacteristic
473#117×C79—21no—
474#117×C79—21no—
475#117×C79—21no—
476#117×C79—21no—
477#117×C79C2311yescharacteristic
478#117×C79C2311yescharacteristic
479C2×C4⋊C4×C79—21no—
480C2×C4⋊C4×C79D411yescharacteristic
481C2×C4⋊C4×C79C2311yescharacteristic
482C2×C4⋊C4×C79C2311yescharacteristic
483C2×C22⋊C4×C79—21no—
484C2×C22⋊C4×C79—21no—
485C2×C22⋊C4×C79—21no—
486C2×C22⋊C4×C79—21no—
487C2×C22⋊C4×C79D411yescharacteristic
488C2×C22⋊C4×C79D411yescharacteristic
489C2×C42×C79C2311yescharacteristic
490C23×D79—21no—
491C23×D79—21no—
492#11929624—22no—
493#11929624—22no—
494#11929624—22no—
495#11929624—22no—
496#11929624—22no—
497#11929624—22no—
498#11929624—44no—
499#11929624—44no—
500#11929624—41no—
501#11929624—41no—
502#11929624—41no—
503#11929624—41no—
504#11929624—41no—
505#11929624—41no—
506#11929624—41no—
507#11929624—41no—
508#11929624—44no—
509#11929624—44no—
510C2×Dic158—22no—
511C2×Dic158—22no—
512C2×Dic158—21no—
513C2×Dic158—21no—
514C2×Dic158—41no—
515C2×Dic158—41no—
516C2×Dic158C2411yescharacteristic
517C2×Dic158C2411yescharacteristic
518C2×Dic158C2411yescharacteristic
519C2×D316—22no—
520C2×D316—22no—
521C2×D316—21no—
522C2×D316—21no—
523C2×D316—21no—
524C2×D316—21no—
525C2×D316—41no—
526C2×D316—41no—
527C2×D316C2411yescharacteristic
528C2×D316C2411yescharacteristic
529C2×D316C2411yescharacteristic
530C2×C22⋊D79—21no—
531C2×C22⋊D79—21no—
532C2×C22⋊D79—21no—
533C2×C22⋊D79—21no—
534C2×C22⋊D79—21no—
535C2×C22⋊D79—21no—
536C2×C22⋊D79—21no—
537C2×C22⋊D79—21no—
538C2×C22⋊D79—21no—
539C2×C22⋊D79—21no—
540C2×C22⋊D79—21no—
541C2×C22⋊D79—44no—
542C2×C22⋊D79—44no—
543D4×D79—44no—
544C22×Dic79—21no—
545C22×Dic79—21no—
546C2×C4×D79—21no—
547C2×C4×D79—21no—
548C2×C4×D79—21no—
549C2×C4×D79—21no—
550C2×C4×D79—21no—
551C2×C4×D79—21no—
552C2×C4×D79—21no—
553C2×C4×D79—21no—
554C2×C4×D79—21no—
555C2×C4×D79—44no—
556C2×C4×D79—44no—
557#11929614—22no—
558#11929614—22no—
559#11929614—41no—
560#11929614—41no—
561#11929614—41no—
562#11929614—41no—
563#11929612—22no—
564#11929612—22no—
565#11929612—41no—
566#11929612—41no—
567#11929612—41no—
568#11929612—41no—
569#11929611—22no—
570#11929611—22no—
571#11929611—41no—
572#11929611—41no—
573#11929611—41no—
574#11929611—41no—
575#11929609—22no—
576#11929609—22no—
577#11929609—41no—
578#11929609—41no—
579#11929609—41no—
580#11929609—41no—
581#11929608—41no—
582#11929608—41no—
583#11929608—41no—
584#11929608—41no—
585C2×C79⋊C8—41no—
586C2×C79⋊C8—41no—
587C2×C79⋊C8—41no—
588C2×C79⋊C8—41no—
589C2×C79⋊C8C2411yescharacteristic
590C2×C79⋊C8C2411yescharacteristic
591C2×C79⋊C8C2411yescharacteristic
592C2×C79⋊C8C2411yescharacteristic
593C2×C79⋊C8C2411yescharacteristic
594C2×C79⋊C8C2411yescharacteristic
595C2×C79⋊C8C2411yescharacteristic
596C2×C79⋊C8C2411yescharacteristic
597C4⋊Dic79—21no—
598C4⋊Dic79—21no—
599C4⋊Dic79C2411yescharacteristic
600C4⋊Dic79C2411yescharacteristic
601Dic79⋊C4—21no—
602Dic79⋊C4—21no—
603Dic79⋊C4—21no—
604Dic79⋊C4—21no—
605Dic79⋊C4—21no—
606Dic79⋊C4—21no—
607C22⋊Dic79—21no—
608C22⋊Dic79—21no—
609C22⋊Dic79—21no—
610C22⋊Dic79—21no—
611C22⋊Dic79—21no—
612(C2×D79)⋊C4—21no—
613(C2×D79)⋊C4—21no—
614(C2×D79)⋊C4—21no—
615(C2×D79)⋊C4—21no—
616(C2×D79)⋊C4—21no—
617(C2×D79)⋊C4—21no—
618(C2×D79)⋊C4—21no—
619(C2×D79)⋊C4—21no—
620(C2×D79)⋊C4—21no—
621(C2×D79)⋊C4—21no—
622C4×Dic79—21no—
623C4×Dic79—21no—
624C4×Dic79—21no—
625C24×C79—21no—
626C24×C79C2×D411yescharacteristic
627C24×C79C2×D411yescharacteristic
628#41×C79—41no—
629#41×C79—41no—
630#41×C79—41no—
631#41×C79—41no—
632C2×Q8×C79—21no—
633C2×Q8×C79—41no—
634C2×Q8×C79—41no—
635C2×Q8×C79C2411yescharacteristic
636C2×Q8×C79C2411yescharacteristic
637C2×D4×C79—21no—
638C2×D4×C79—21no—
639C2×D4×C79—21no—
640C2×D4×C79—21no—
641C2×D4×C79—21no—
642C2×D4×C79—21no—
643C2×D4×C79—21no—
644C2×D4×C79—21no—
645C2×D4×C79—21no—
646C2×D4×C79—41no—
647C2×D4×C79—41no—
648C2×D4×C79—42no—
649C2×D4×C79—44no—
650C2×D4×C79C2×D411yescharacteristic
651C2×D4×C79C2×D411yescharacteristic
652C2×D4×C79C2×D411yescharacteristic
653C2×D4×C79C2×D411yescharacteristic
654C2×D4×C79C2411yescharacteristic
655C2×D4×C79C2411yescharacteristic
656C22×C4×C79—21no—
657C22×C4×C79—21no—
658C22×C4×C79—21no—
659C22×C4×C79—21no—
660C22×C4×C79—21no—
661C22×C4×C79—21no—
662C22×C4×C79—21no—
663C22×C4×C79—41no—
664C22×C4×C79—41no—
665C22×C4×C79—41no—
666C22×C4×C79—41no—
667C22×C4×C79C2×D411yescharacteristic
668C22×C4×C79C2×D411yescharacteristic
669C22×C4×C79C2×D411yescharacteristic
670C22×C4×C79C2×D411yescharacteristic
671C22×C4×C79C2×D411yescharacteristic
672C22×C4×C79C2×D411yescharacteristic
673C22×C4×C79C2×D411yescharacteristic
674C22×C4×C79C2×D411yescharacteristic
675C22×C4×C79C2411yescharacteristic
676C22×C4×C79C2411yescharacteristic
677C22×C4×C79C2411yescharacteristic
678C22×C4×C79C2411yescharacteristic
679C22×C4×C79C2411yescharacteristic
680C4⋊C4×C79—21no—
681C4⋊C4×C79—21no—
682C4⋊C4×C79—21no—
683C4⋊C4×C79—21no—
684C4⋊C4×C79—21no—
685C4⋊C4×C79—21no—
686C4⋊C4×C79—21no—
687C4⋊C4×C79—21no—
688C4⋊C4×C79—21no—
689C4⋊C4×C79—21no—
690C4⋊C4×C79—21no—
691C4⋊C4×C79—21no—
692C4⋊C4×C79—21no—
693C4⋊C4×C79—21no—
694C4⋊C4×C79C2×D411yescharacteristic
695C4⋊C4×C79C2×D411yescharacteristic
696C4⋊C4×C79C2×D411yescharacteristic
697C4⋊C4×C79C2×D411yescharacteristic
698C4⋊C4×C79C2411yescharacteristic
699C4⋊C4×C79C2411yescharacteristic
700C4⋊C4×C79C2411yescharacteristic
701C4⋊C4×C79C2411yescharacteristic
702C22⋊C4×C79—21no—
703C22⋊C4×C79—21no—
704C22⋊C4×C79—21no—
705C22⋊C4×C79—21no—
706C22⋊C4×C79—21no—
707C22⋊C4×C79—21no—
708C22⋊C4×C79—21no—
709C22⋊C4×C79—21no—
710C22⋊C4×C79—21no—
711C22⋊C4×C79—21no—
712C22⋊C4×C79—21no—
713C22⋊C4×C79—21no—
714C22⋊C4×C79—21no—
715C22⋊C4×C79—21no—
716C22⋊C4×C79—21no—
717C22⋊C4×C79—21no—
718C22⋊C4×C79—21no—
719C22⋊C4×C79—21no—
720C22⋊C4×C79—21no—
721C22⋊C4×C79—21no—
722C22⋊C4×C79C2×D411yescharacteristic
723C22⋊C4×C79C2×D411yescharacteristic
724C22⋊C4×C79C2×D411yescharacteristic
725C22⋊C4×C79C2×D411yescharacteristic
726C22⋊C4×C79C2×D411yescharacteristic
727C22⋊C4×C79C2×D411yescharacteristic
728C22⋊C4×C79C2×D411yescharacteristic
729C22⋊C4×C79C2×D411yescharacteristic
730C42×C79—21no—
731C42×C79—21no—
732C42×C79—21no—
733C42×C79—21no—
734C42×C79C2×D411yescharacteristic
735C42×C79C2×D411yescharacteristic
736C42×C79C2411yescharacteristic
737C42×C79C2411yescharacteristic
738C23×C79—22no—
739C23×C79—21no—
740C23×C79—21no—
741C23×C79—41no—
742C23×C79—41no—
743C23×C79—41no—
744C23×C79—41no—
745C23×C79—41no—
746C23×C79—42no—
747C23×C79—81no—
748C23×C79—81no—
749C23×C79C22×D411yescharacteristic
750C23×C79C22×D411yescharacteristic
751C23×C79C22×D411yescharacteristic
752C23×C79C22×D411yescharacteristic
753C23×C79C22×D411yescharacteristic
754C22×D79—21no—
755C22×D79—21no—
756C22×D79—21no—
757C22×D79—42no—
758C22×D79—42no—
759C22×D79—42no—
760C22×D79—42no—
761C22×D79—81no—
762C22×D79—81no—
763Q8×C79—21no—
764Q8×C79—21no—
765Q8×C79—21no—
766Q8×C79—21no—
767Q8×C79—81no—
768D4×C79—22no—
769D4×C79—22no—
770D4×C79—21no—
771D4×C79—21no—
772D4×C79—21no—
773D4×C79—21no—
774D4×C79—41no—
775D4×C79—41no—
776D4×C79—42no—
777D4×C79—42no—
778D4×C79—42no—
779D4×C79—42no—
780D4×C79—81no—
781D4×C79—81no—
782D4×C79—81no—
783D4×C79—81no—
784D4×C79—81no—
785C2×C4×C79—21no—
786C2×C4×C79—21no—
787C2×C4×C79—21no—
788C2×C4×C79—21no—
789C2×C4×C79—21no—
790C2×C4×C79—21no—
791C2×C4×C79—21no—
792C2×C4×C79—21no—
793C2×C4×C79—21no—
794C2×C4×C79—21no—
795C2×C4×C79—21no—
796C2×C4×C79—21no—
797C2×C4×C79—21no—
798C2×C4×C79—21no—
799C2×C4×C79—21no—
800C2×C4×C79—21no—
801C2×C4×C79—41no—
802C2×C4×C79—41no—
803C2×C4×C79—41no—
804C2×C4×C79—41no—
805C2×C4×C79—41no—
806C2×C4×C79—41no—
807C2×C4×C79—41no—
808C2×C4×C79—41no—
809C2×C4×C79—42no—
810C2×C4×C79—81no—
811C2×C4×C79—81no—
812C2×C4×C79—81no—
813C2×C4×C79—81no—
814C2×C4×C79—81no—
815C2×C4×C79—81no—
816C2×C4×C79C22×D411yescharacteristic
817C2×C4×C79C22×D411yescharacteristic
818C2×C4×C79C22×D411yescharacteristic
819C2×C4×C79C22×D411yescharacteristic
820C2×C4×C79C22×D411yescharacteristic
821C2×C4×C79C22×D411yescharacteristic
822C2×C4×C79C22×D411yescharacteristic
823C2×C4×C79C22×D411yescharacteristic
824C2×C4×C79C22×D411yescharacteristic
825C2×C4×C79C2511yescharacteristic
826C22⋊D79—24no—
827C22⋊D79—42no—
828C22⋊D79—42no—
829C22⋊D79—42no—
830C22⋊D79—42no—
831C22⋊D79—42no—
832C22⋊D79—42no—
833C22⋊D79—42no—
834C22⋊D79—42no—
835C22⋊D79—81no—
836C22⋊D79—81no—
837C2×Dic79—21no—
838C2×Dic79—21no—
839C2×Dic79—21no—
840C2×Dic79—21no—
841C2×Dic79—21no—
842C2×Dic79—42no—
843C2×Dic79—42no—
844D316—21no—
845D316—21no—
846D316—21no—
847D316—21no—
848D316—21no—
849D316—42no—
850D316—42no—
851D316—42no—
852D316—81no—
853D316H(5,𝔽2)12yes—
854C4×D79—24no—
855C4×D79—42no—
856C4×D79—42no—
857C4×D79—42no—
858C4×D79—42no—
859C4×D79—42no—
860C4×D79—42no—
861C4×D79—42no—
862C4×D79—81no—
863Dic158—21no—
864Dic158—21no—
865Dic158—21no—
866Dic158—21no—
867Dic158—21no—
868Dic158—42no—
869Dic158—42no—
870Dic158H(5,𝔽2)12yes—
871C79⋊C8—21no—
872C79⋊C8—21no—
873C79⋊C8—21no—
874C79⋊C8—21no—
875C79⋊C8—21no—
876C79⋊C8—21no—
877C79⋊C8—21no—
878C79⋊C8—21no—
879C22×C79—21no—
880C22×C79—21no—
881C22×C79—21no—
882C22×C79—21no—
883C22×C79—21no—
884C22×C79—21no—
885C22×C79—21no—
886C22×C79—21no—
887C22×C79—21no—
888C22×C79—21no—
889C22×C79—21no—
890C22×C79—21no—
891C22×C79—21no—
892C22×C79—21no—
893C22×C79—41no—
894C22×C79—41no—
895C22×C79—41no—
896C22×C79—41no—
897C22×C79—41no—
898C22×C79—41no—
899C22×C79—82no—
900C22×C79—82no—
901C22×C79—162no—
902C22×C79#57512yes—
903C22×C79C23×D411yescharacteristic
904C2×D79—22no—
905C2×D79—41no—
906C2×D79—41no—
907C2×D79—41no—
908C2×D79—41no—
909C2×D79—41no—
910C2×D79—41no—
911C2×D79—41no—
912C2×D79—41no—
913C2×D79—84no—
914C2×D79—84no—
915C4×C79—21no—
916C4×C79—21no—
917C4×C79—21no—
918C4×C79—21no—
919C4×C79—21no—
920C4×C79—21no—
921C4×C79—21no—
922C4×C79—21no—
923C4×C79—21no—
924C4×C79—41no—
925C4×C79—41no—
926C4×C79—41no—
927C4×C79—41no—
928C4×C79—41no—
929C4×C79—41no—
930C4×C79C2×H(5,𝔽2)11yescharacteristic
931C4×C79C2×H(5,𝔽2)11yescharacteristic
932Dic79—22no—
933Dic79—41no—
934Dic79—41no—
935Dic79—41no—
936Dic79—41no—
937#61606—791nomaximal, Sylow
938C2×C79—22no—
939C2×C79—41no—
940C2×C79—41no—
941C2×C79—41no—
942C2×C79—41no—
943C2×C79—81no—
944C2×C79—81no—
945C2×C79#348411yescharacteristic
946C2×C79C2×#57511yescharacteristic
947C2×C79#358411yescharacteristic
948D79—42no—
949D79—81no—
950D79—81no—
951#3505D7911yescharacteristic, complemented
952D4×#41—791no—
953#3327—791no—
954#3323—791no—
955#3320—791no—
956#3318—791no—
957#3317—791no—
958#3315—791no—
959#3301—791no—
960#3297—791no—
961#3285—791no—
962#3282—791no—
963#3275—791no—
964#3273—791no—
965#3270—791no—
966#3268—791no—
967#3267—791no—
968#3265—791no—
969#3219—791no—
970#3212—791no—
971#3197—791no—
972#3196—791no—
973#3191—791no—
974#3188—791no—
975#3111—791no—
976#3102—791no—
977#3006—791no—
978#3005—791no—
979#3002—791no—
980C2×#452—791no—
981#2974—791no—
982C79#6160611yescharacteristic, complemented, Sylow
983C22×#41—791no—
984C22×#41—791no—
985C2×#137—791no—
986C2×AGL(1,ℤ/8)—791no—
987C2×AGL(1,ℤ/8)—791no—
988C2×AGL(1,ℤ/8)—791no—
989C2×#135—791no—
990C2×#135—791no—
991C22×Q16—791no—
992C22×SD16—791no—
993#553—21no—
994#553—21no—
995#553C2×D7911yescharacteristic
996#553C2×D7911yescharacteristic, complemented
997#552C2×D7911yescharacteristic, complemented
998#552C2×D7911yescharacteristic, complemented
999#551—21no—
1000#551—21no—
1001#550—791no—
1002D4×Q8—791no—
1003#548—791no—
1004#548—791no—
1005#548C2×D7911yescharacteristic
1006#548C2×D7911yescharacteristic, complemented
1007#547—791no—
1008#547—1581no—
1009#546—791no—
1010#546—791no—
1011#546—1581no—
1012#546—1581no—
1013#546C2×D7911yescharacteristic, complemented
1014#546C2×D7911yescharacteristic, complemented
1015D42—791no—
1016D42—1581no—
1017#539—21no—
1018#538—21no—
1019#534—21no—
1020#532—791no—
1021#532—1581no—
1022#529C2×D7911yescharacteristic, complemented
1023#529C2×D7911yescharacteristic, complemented
1024#525—791no—
1025#525—791no—
1026#525—1581no—
1027#525—1581no—
1028#525C2×D7911yescharacteristic, complemented
1029#525C2×D7911yescharacteristic, complemented
1030C2×C22⋊Q8C2×D7911yescharacteristic, complemented
1031C2×#121C2×D7911yescharacteristic, complemented
1032#518—21no—
1033C4×#41—791no—
1034C2×C4×D4—1581no—
1035C2×C4×D4C2×D7911yescharacteristic
1036#497—791no—
1037#496—791no—
1038#495—791no—
1039#495—791no—
1040#491—791no—
1041#490—791no—
1042#488—791no—
1043#488—791no—
1044#485—791no—
1045#485—791no—
1046#485—791no—
1047#485—791no—
1048#484—791no—
1049#484—791no—
1050#482—791no—
1051#482—791no—
1052#482—791no—
1053#482—791no—
1054#481—791no—
1055#481—791no—
1056#479—791no—
1057#479—791no—
1058#478—791no—
1059#478—791no—
1060#470—791no—
1061#470—791no—
1062#470—791no—
1063#469—791no—
1064#468—791no—
1065#468—791no—
1066#468—791no—
1067#468—791no—
1068#467—791no—
1069#466—791no—
1070#466—791no—
1071#466—791no—
1072#465—791no—
1073#465—791no—
1074#465—791no—
1075#465—791no—
1076#464—791no—
1077#464—791no—
1078#464—791no—
1079#464—791no—
1080#463—791no—
1081#463—791no—
1082#463—791no—
1083#463—791no—
1084#462—791no—
1085#461—791no—
1086#460—791no—
1087#459—791no—
1088#452—791no—
1089#452—791no—
1090#452—791no—
1091#452—791no—
1092#452—791no—
1093#452—791no—
1094#452—791no—
1095#452—791no—
1096#452—791no—
1097#452—791no—
1098#452—791no—
1099#452—791no—
1100#452—791no—
1101#452—791no—
1102#451—791no—
1103#451—791no—
1104#450—791no—
1105#450—791no—
1106#449—791no—
1107#449—791no—
1108#449—791no—
1109#449—791no—
1110#449—791no—
1111#449—791no—
1112#449—791no—
1113#449—791no—
1114#449—791no—
1115#449—791no—
1116#448—791no—
1117#448—791no—
1118#448—791no—
1119#448—791no—
1120#447—791no—
1121#447—791no—
1122#447—791no—
1123#447—791no—
1124#442—791no—
1125#441—791no—
1126#440—791no—
1127#440—791no—
1128C4×Q16—791no—
1129C4×SD16—791no—
1130C4×SD16—791no—
1131C4×D8—791no—
1132#436—791no—
1133#436—791no—
1134#435—791no—
1135#435—791no—
1136#435—791no—
1137#435—791no—
1138C8×D4—791no—
1139C8×D4—791no—
1140#432—791no—
1141#431—791no—
1142#419—791no—
1143#418—791no—
1144#417—791no—
1145#417—791no—
1146#416—791no—
1147#416—791no—
1148C2×#103—791no—
1149C2×#102—791no—
1150#407—791no—
1151#407—791no—
1152C2×C22⋊C8—791no—
1153C2×C22⋊C8—791no—
1154C2×#41—3162no—
1155C2×#41—3162no—
1156C2×#41—3162no—
1157C2×#41—3162no—
1158C2×#41—791no—
1159C2×#41—791no—
1160C2×#41—791no—
1161C2×#41—791no—
1162C2×#41—791no—
1163C2×#41—791no—
1164C2×#41—791no—
1165C2×#41—1581no—
1166C2×#41—1581no—
1167C2×#41—1581no—
1168C2×#41—1581no—
1169C2×#41C22×D7911yescharacteristic
1170C2×#41C22×D7911yescharacteristic
1171C22×Q8—791no—
1172C22×Q8—791no—
1173C22×Q8C22×D7911yescharacteristic
1174C22×D4—21no—
1175C22×D4—791no—
1176C22×D4—791no—
1177C22×D4—1581no—
1178C22×D4—1581no—
1179C22×D4—1581no—
1180C22×D4C22⋊D7911yescharacteristic
1181C22×D4C22×D7911yescharacteristic
1182C23×C4—1581no—
1183C23×C4—1581no—
1184C23×C4C22×D7911yescharacteristic
1185C23×C4C22×D7911yescharacteristic
1186#137—3162no—
1187AGL(1,ℤ/8)—3162no—
1188AGL(1,ℤ/8)—3162no—
1189AGL(1,ℤ/8)—3162no—
1190#135—3162no—
1191#135—3162no—
1192C2×Q16—3162no—
1193C2×Q16—791no—
1194C2×Q16—791no—
1195C2×Q16—791no—
1196C2×Q16—791no—
1197C2×Q16—791no—
1198C2×Q16—791no—
1199C2×SD16—3162no—
1200C2×SD16—791no—
1201C2×SD16—791no—
1202C2×SD16—791no—
1203C2×SD16—791no—
1204C2×SD16—791no—
1205C2×SD16—791no—
1206C2×SD16—791no—
1207C2×SD16—791no—
1208C2×SD16—791no—
1209C2×SD16—791no—
1210C2×SD16—791no—
1211C2×SD16—791no—
1212C2×D8—791no—
1213C2×D8—791no—
1214C2×D8—791no—
1215C2×D8—791no—
1216C2×D8—791no—
1217C2×D8—791no—
1218C2×M16—791no—
1219C2×M16—791no—
1220C2×M16—791no—
1221C2×M16—791no—
1222C22×C8—791no—
1223C22×C8—791no—
1224C22×C8—791no—
1225C22×C8—791no—
1226C4⋊Q8—791no—
1227C4⋊Q8—1581no—
1228#127—791no—
1229#127—1581no—
1230#126—21no—
1231#126—21no—
1232#126—21no—
1233#126—21no—
1234#126—21no—
1235#126—21no—
1236#125—21no—
1237#125—21no—
1238#125C22×D7911yescharacteristic
1239#125C22×D7911yescharacteristic
1240#124—21no—
1241#124—21no—
1242#124—791no—
1243#124—791no—
1244#124—1581no—
1245#124—1581no—
1246#124C22×D7911yescharacteristic
1247#124C22×D7911yescharacteristic
1248#123—21no—
1249#123—21no—
1250#123—21no—
1251#123—21no—
1252#123—21no—
1253#123—21no—
1254#123—21no—
1255#123—21no—
1256#123—21no—
1257#123—21no—
1258#123—1581no—
1259#123—1581no—
1260#123—1581no—
1261#123—1581no—
1262#123—1581no—
1263#123—1581no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
1266C22⋊Q8—21no—
1267C22⋊Q8—21no—
1268C22⋊Q8—791no—
1269C22⋊Q8—791no—
1270C22⋊Q8—791no—
1271C22⋊Q8—791no—
1272C22⋊Q8—1581no—
1273C22⋊Q8—1581no—
1274C22⋊Q8—1581no—
1275C22⋊Q8—1581no—
1276C22⋊Q8C22×D7911yescharacteristic
1277C22⋊Q8C22×D7911yescharacteristic
1278C22⋊Q8C22×D7911yescharacteristic
1279C22⋊Q8C22×D7911yescharacteristic
1280C22⋊Q8C22×D7911yescharacteristic
1281C22⋊Q8C22×D7911yescharacteristic
1282#121—21no—
1283#121—21no—
1284#121—21no—
1285#121—21no—
1286#121—21no—
1287#121—21no—
1288#121—21no—
1289#121—21no—
1290#121—791no—
1291#121—791no—
1292#121—791no—
1293#121—791no—
1294#121—1581no—
1295#121—1581no—
1296#121—1581no—
1297#121—1581no—
1298#121—1581no—
1299#121—1581no—
1300#121—1581no—
1301#121—1581no—
1302#121—1581no—
1303#121—1581no—
1304#121C22×D7911yescharacteristic
1305#121C22×D7911yescharacteristic
1306#121C22×D7911yescharacteristic
1307#121C22×D7911yescharacteristic
1308#121C22×D7911yescharacteristic
1309#121C22×D7911yescharacteristic
1310#120—21no—
1311#120—21no—
1312#120—21no—
1313#120—21no—
1314#120—1581no—
1315#120—1581no—
1316#120—1581no—
1317#120—1581no—
1318#120—1581no—
1319#120—1581no—
1320C4×Q8—791no—
1321C4×Q8—791no—
1322C4×Q8C22×D7911yescharacteristic
1323C4×Q8C22×D7911yescharacteristic
1324C4×D4—21no—
1325C4×D4—21no—
1326C4×D4—21no—
1327C4×D4—21no—
1328C4×D4—21no—
1329C4×D4—21no—
1330C4×D4—21no—
1331C4×D4—21no—
1332C4×D4—21no—
1333C4×D4—21no—
1334C4×D4—791no—
1335C4×D4—791no—
1336C4×D4—1581no—
1337C4×D4—1581no—
1338C4×D4—1581no—
1339C4×D4—1581no—
1340C4×D4—1581no—
1341C4×D4—1581no—
1342C4×D4—1581no—
1343C4×D4—1581no—
1344C4×D4—1581no—
1345C4×D4—1581no—
1346C4×D4—1581no—
1347C4×D4—1581no—
1348C4×D4C22⋊D7911yescharacteristic
1349C4×D4C22⋊D7911yescharacteristic
1350C4×D4C22⋊D7911yescharacteristic
1351C4×D4C22⋊D7911yescharacteristic
1352C4×D4C22×D7911yescharacteristic
1353C4×D4C22×D7911yescharacteristic
1354C4×D4C22×D7911yescharacteristic
1355C4×D4C22×D7911yescharacteristic
1356C4×D4C22×D7911yescharacteristic
1357C4×D4C22×D7911yescharacteristic
1358#117—21no—
1359#117—21no—
1360#117—21no—
1361#117—21no—
1362#117—791no—
1363#117—1581no—
1364#117C22×D7911yescharacteristic
1365#117C22×D7911yescharacteristic
1366C2×C4⋊C4—21no—
1367C2×C4⋊C4—1581no—
1368C2×C4⋊C4C22⋊D7911yescharacteristic
1369C2×C4⋊C4C22×D7911yescharacteristic
1370C2×C4⋊C4C22×D7911yescharacteristic
1371C2×C22⋊C4—21no—
1372C2×C22⋊C4—21no—
1373C2×C22⋊C4—21no—
1374C2×C22⋊C4—21no—
1375C2×C22⋊C4—1581no—
1376C2×C22⋊C4—1581no—
1377C2×C22⋊C4C22⋊D7911yescharacteristic
1378C2×C22⋊C4C22⋊D7911yescharacteristic
1379C2×C42—1581no—
1380C2×C42C22×D7911yescharacteristic
1381#107—791no—
1382#107—791no—
1383#107—791no—
1384#107—791no—
1385#106—791no—
1386#106—791no—
1387#106—791no—
1388#106—791no—
1389C4⋊C8—791no—
1390C4⋊C8—791no—
1391C4⋊C8—791no—
1392C4⋊C8—791no—
1393#103—791no—
1394#103—791no—
1395#103—791no—
1396#103—791no—
1397#103—791no—
1398#103—791no—
1399#103—791no—
1400#103—791no—
1401#103—791no—
1402#103—791no—
1403#103—791no—
1404#103—791no—
1405#103—791no—
1406#103—791no—
1407#103—791no—
1408#103—791no—
1409#102—791no—
1410#102—791no—
1411#102—791no—
1412#102—791no—
1413#102—791no—
1414#102—791no—
1415#102—791no—
1416#102—791no—
1417#102—791no—
1418#102—791no—
1419#102—791no—
1420#102—791no—
1421#102—791no—
1422#102—791no—
1423#102—791no—
1424#102—791no—
1425C22⋊C8—791no—
1426C22⋊C8—791no—
1427C22⋊C8—791no—
1428C22⋊C8—791no—
1429C22⋊C8—791no—
1430C22⋊C8—791no—
1431C22⋊C8—791no—
1432C22⋊C8—791no—
1433C22⋊C8—791no—
1434C22⋊C8—791no—
1435C22⋊C8—791no—
1436C22⋊C8—791no—
1437#97—791no—
1438#97—791no—
1439C4×C8—791no—
1440C4×C8—791no—
1441C24—21no—
1442C24—1581no—
1443C24—1581no—
1444C24C2×C22⋊D7911yescharacteristic
1445C24C2×C22⋊D7911yescharacteristic
1446#41—41no—
1447#41—41no—
1448#41—41no—
1449#41—41no—
1450#41—3161no—
1451#41—3161no—
1452#41—3161no—
1453#41—3161no—
1454#41—3161no—
1455#41—3161no—
1456#41—3161no—
1457#41—3161no—
1458#41—3164no—
1459#41—3164no—
1460#41—3164no—
1461#41—3164no—
1462#41—1582no—
1463#41—1582no—
1464#41—1582no—
1465#41—1582no—
1466#41—1582no—
1467#41—1582no—
1468C2×Q8—21no—
1469C2×Q8—41no—
1470C2×Q8—41no—
1471C2×Q8—3161no—
1472C2×Q8—3161no—
1473C2×Q8—791no—
1474C2×Q8—791no—
1475C2×Q8—791no—
1476C2×Q8—1582no—
1477C2×Q8—1582no—
1478C2×Q8—1581no—
1479C2×Q8—1581no—
1480C2×Q8C23×D7911yescharacteristic
1481C2×Q8C23×D7911yescharacteristic
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—41no—
1492C2×D4—41no—
1493C2×D4—42no—
1494C2×D4—44no—
1495C2×D4—3161no—
1496C2×D4—3161no—
1497C2×D4—3164no—
1498C2×D4—3164no—
1499C2×D4—3164no—
1500C2×D4—791no—
1501C2×D4—791no—
1502C2×D4—791no—
1503C2×D4—1582no—
1504C2×D4—1582no—
1505C2×D4—1581no—
1506C2×D4—1581no—
1507C2×D4—1581no—
1508C2×D4—1581no—
1509C2×D4—1581no—
1510C2×D4—1581no—
1511C2×D4—1581no—
1512C2×D4—1581no—
1513C2×D4—1581no—
1514C2×D4—1581no—
1515C2×D4—1581no—
1516C2×D4—1581no—
1517C2×D4—1581no—
1518C2×D4—1581no—
1519C2×D4—1581no—
1520C2×D4C2×C22⋊D7911yescharacteristic
1521C2×D4C2×C22⋊D7911yescharacteristic
1522C2×D4C2×C22⋊D7911yescharacteristic
1523C2×D4C2×C22⋊D7911yescharacteristic
1524C2×D4C23×D7911yescharacteristic
1525C2×D4C23×D7911yescharacteristic
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4—21no—
1532C22×C4—21no—
1533C22×C4—41no—
1534C22×C4—41no—
1535C22×C4—41no—
1536C22×C4—41no—
1537C22×C4—3164no—
1538C22×C4—3164no—
1539C22×C4—1581no—
1540C22×C4—1581no—
1541C22×C4—1581no—
1542C22×C4—1581no—
1543C22×C4—1581no—
1544C22×C4—1581no—
1545C22×C4—1581no—
1546C22×C4—1581no—
1547C22×C4—1581no—
1548C22×C4—1581no—
1549C22×C4—1581no—
1550C22×C4C2×C22⋊D7911yescharacteristic
1551C22×C4C2×C22⋊D7911yescharacteristic
1552C22×C4C2×C22⋊D7911yescharacteristic
1553C22×C4C2×C22⋊D7911yescharacteristic
1554C22×C4C2×C22⋊D7911yescharacteristic
1555C22×C4C2×C22⋊D7911yescharacteristic
1556C22×C4C2×C22⋊D7911yescharacteristic
1557C22×C4C2×C22⋊D7911yescharacteristic
1558C22×C4C23×D7911yescharacteristic
1559C22×C4C23×D7911yescharacteristic
1560C22×C4C23×D7911yescharacteristic
1561C22×C4C23×D7911yescharacteristic
1562C22×C4C23×D7911yescharacteristic
1563Q16—3161no—
1564Q16—3161no—
1565Q16—3161no—
1566Q16—3161no—
1567Q16—1582no—
1568Q16—1582no—
1569SD16—3161no—
1570SD16—3161no—
1571SD16—3161no—
1572SD16—3161no—
1573SD16—3161no—
1574SD16—3161no—
1575SD16—3161no—
1576SD16—3161no—
1577SD16—1582no—
1578SD16—1582no—
1579SD16—1582no—
1580SD16—1582no—
1581D8—3161no—
1582D8—3161no—
1583D8—3161no—
1584D8—3161no—
1585D8—1582no—
1586D8—1582no—
1587M16—3161no—
1588M16—3161no—
1589M16—3161no—
1590M16—3161no—
1591C2×C8—3161no—
1592C2×C8—3161no—
1593C2×C8—3161no—
1594C2×C8—3161no—
1595C2×C8—791no—
1596C2×C8—791no—
1597C2×C8—791no—
1598C2×C8—791no—
1599C2×C8—791no—
1600C2×C8—791no—
1601C2×C8—791no—
1602C2×C8—791no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—21no—
1610C4⋊C4—21no—
1611C4⋊C4—21no—
1612C4⋊C4—21no—
1613C4⋊C4—21no—
1614C4⋊C4—21no—
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—791no—
1618C4⋊C4—791no—
1619C4⋊C4—1581no—
1620C4⋊C4—1581no—
1621C4⋊C4—1581no—
1622C4⋊C4—1581no—
1623C4⋊C4—1581no—
1624C4⋊C4—1581no—
1625C4⋊C4—1581no—
1626C4⋊C4—1581no—
1627C4⋊C4C2×C22⋊D7911yescharacteristic
1628C4⋊C4C2×C22⋊D7911yescharacteristic
1629C4⋊C4C2×C22⋊D7911yescharacteristic
1630C4⋊C4C2×C22⋊D7911yescharacteristic
1631C4⋊C4C23×D7911yescharacteristic
1632C4⋊C4C23×D7911yescharacteristic
1633C4⋊C4C23×D7911yescharacteristic
1634C4⋊C4C23×D7911yescharacteristic
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—1581no—
1656C22⋊C4—1581no—
1657C22⋊C4—1581no—
1658C22⋊C4—1581no—
1659C22⋊C4—1581no—
1660C22⋊C4—1581no—
1661C22⋊C4—1581no—
1662C22⋊C4—1581no—
1663C22⋊C4—1581no—
1664C22⋊C4—1581no—
1665C22⋊C4—1581no—
1666C22⋊C4—1581no—
1667C22⋊C4—1581no—
1668C22⋊C4—1581no—
1669C22⋊C4—1581no—
1670C22⋊C4C2×C22⋊D7911yescharacteristic
1671C22⋊C4C2×C22⋊D7911yescharacteristic
1672C22⋊C4C2×C22⋊D7911yescharacteristic
1673C22⋊C4C2×C22⋊D7911yescharacteristic
1674C22⋊C4C2×C22⋊D7911yescharacteristic
1675C22⋊C4C2×C22⋊D7911yescharacteristic
1676C22⋊C4C2×C22⋊D7911yescharacteristic
1677C22⋊C4C2×C22⋊D7911yescharacteristic
1678C42—21no—
1679C42—21no—
1680C42—21no—
1681C42—21no—
1682C42—1581no—
1683C42—1581no—
1684C42—1581no—
1685C42C2×C22⋊D7911yescharacteristic
1686C42C2×C22⋊D7911yescharacteristic
1687C42C23×D7911yescharacteristic
1688C42C23×D7911yescharacteristic
1689C23—22no—
1690C23—21no—
1691C23—21no—
1692C23—41no—
1693C23—41no—
1694C23—41no—
1695C23—41no—
1696C23—41no—
1697C23—42no—
1698C23—81no—
1699C23—81no—
1700C23—3162no—
1701C23—3162no—
1702C23—3162no—
1703C23—3162no—
1704C23—6321no—
1705C23—6321no—
1706C23—1581no—
1707C23—1581no—
1708C23—1581no—
1709C23C22×C22⋊D7911yescharacteristic
1710C23C22×C22⋊D7911yescharacteristic
1711C23C22×C22⋊D7911yescharacteristic
1712C23C22×C22⋊D7911yescharacteristic
1713C23C22×C22⋊D7911yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—81no—
1719Q8—3162no—
1720Q8—3162no—
1721Q8—792no—
1722Q8—1581no—
1723Q8—1581no—
1724Q8—1581no—
1725Q8—1581no—
1726Q8—1581no—
1727D4—22no—
1728D4—22no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—41no—
1734D4—41no—
1735D4—42no—
1736D4—42no—
1737D4—42no—
1738D4—42no—
1739D4—81no—
1740D4—81no—
1741D4—81no—
1742D4—81no—
1743D4—81no—
1744D4—3162no—
1745D4—3162no—
1746D4—3162no—
1747D4—3162no—
1748D4—3162no—
1749D4—3162no—
1750D4—3162no—
1751D4—3162no—
1752D4—3162no—
1753D4—3162no—
1754D4—3162no—
1755D4—792no—
1756D4—6321no—
1757D4—6321no—
1758D4—6321no—
1759D4—1584no—
1760D4—1581no—
1761D4—1581no—
1762D4—1581no—
1763D4—1581no—
1764D4—1581no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—41no—
1782C2×C4—41no—
1783C2×C4—41no—
1784C2×C4—41no—
1785C2×C4—41no—
1786C2×C4—41no—
1787C2×C4—41no—
1788C2×C4—41no—
1789C2×C4—42no—
1790C2×C4—81no—
1791C2×C4—81no—
1792C2×C4—81no—
1793C2×C4—81no—
1794C2×C4—81no—
1795C2×C4—81no—
1796C2×C4—3162no—
1797C2×C4—3162no—
1798C2×C4—3162no—
1799C2×C4—3162no—
1800C2×C4—3162no—
1801C2×C4—3162no—
1802C2×C4—3162no—
1803C2×C4—3162no—
1804C2×C4—3162no—
1805C2×C4—6321no—
1806C2×C4—1584no—
1807C2×C4—1581no—
1808C2×C4—1581no—
1809C2×C4—1581no—
1810C2×C4—1581no—
1811C2×C4—1581no—
1812C2×C4C22×C22⋊D7911yescharacteristic
1813C2×C4C22×C22⋊D7911yescharacteristic
1814C2×C4C22×C22⋊D7911yescharacteristic
1815C2×C4C22×C22⋊D7911yescharacteristic
1816C2×C4C22×C22⋊D7911yescharacteristic
1817C2×C4C22×C22⋊D7911yescharacteristic
1818C2×C4C22×C22⋊D7911yescharacteristic
1819C2×C4C22×C22⋊D7911yescharacteristic
1820C2×C4C22×C22⋊D7911yescharacteristic
1821C2×C4C24×D7911yescharacteristic
1822C8—1581no—
1823C8—1581no—
1824C8—1581no—
1825C8—1581no—
1826C8—1581no—
1827C8—1581no—
1828C8—1581no—
1829C8—1581no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—21no—
1840C22—21no—
1841C22—21no—
1842C22—21no—
1843C22—21no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—82no—
1851C22—82no—
1852C22—162no—
1853C22—3161no—
1854C22—3161no—
1855C22—3161no—
1856C22—3161no—
1857C22—3161no—
1858C22—3161no—
1859C22—3161no—
1860C22—3161no—
1861C22—6324no—
1862C22—6324no—
1863C22—1582no—
1864C22#1909936112yes—
1865C22C23×C22⋊D7911yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—21no—
1871C4—21no—
1872C4—21no—
1873C4—21no—
1874C4—21no—
1875C4—41no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—3161no—
1882C4—3161no—
1883C4—3161no—
1884C4—3161no—
1885C4—1582no—
1886C4H(5,𝔽2)×D7911yescharacteristic
1887C4H(5,𝔽2)×D7911yescharacteristic
1888C2—22no—
1889C2—41no—
1890C2—41no—
1891C2—41no—
1892C2—41no—
1893C2—81no—
1894C2—81no—
1895C2—3162no—
1896C2—6321no—
1897C2—6321no—
1898C2#2377703111yescharacteristic
1899C2C2×#1909936111yescharacteristic
1900C2#2377817111yescharacteristic
subgroupG/H
centerC22C23×C22⋊D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3505C2
socleC22×C79C23×D4
hypercenter#3505D79
hypocenterC79#61606
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #3505

Complements

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

NH ≅ G/Ntype
1. D4×#11929624C2semidirect
2. #23775662C2semidirect
3. #23775610C2semidirect
4. #23775565C2semidirect
5. #23775535C2semidirect
6. #23775520C2semidirect
7. #23775490C2semidirect
8. #23775296C2semidirect
9. #23775244C2semidirect
10. #23775137C2semidirect
11. #23775108C2semidirect
12. #23775027C2semidirect
13. #23775007C2semidirect
14. #23774966C2semidirect
15. #23774936C2semidirect
16. #23774921C2semidirect
17. #23774896C2semidirect
18. #23774433C2semidirect
19. #23774372C2semidirect
20. #23774237C2semidirect
21. #23774230C2semidirect
22. #23774188C2semidirect
23. #23774165C2semidirect
24. #23773503C2semidirect
25. #23773412C2semidirect
26. #23772650C2semidirect
27. #23772640C2semidirect
28. #23772616C2semidirect
29. C2×#19098723C2semidirect
30. #23772435C2semidirect
31. C79×#3505C2semidirect
33. C22×#11929624C22semidirect
34. C2×#14579191C22semidirect
35. C2×#14579187C22semidirect
36. C2×#14579187C22semidirect
37. C2×#14579186C22semidirect
38. C2×#14579181C22semidirect
39. C2×#14579181C22semidirect
40. C22×#11929614C22semidirect
41. C22×#11929611C22semidirect
43. D4×Dic158C22semidirect
45. #19099222C22semidirect
49. #19099209C22semidirect
52. D4×D316C22semidirect
54. #19099113C22semidirect
57. #19099074C22semidirect
60. C4×#11929624C22semidirect
62. #19098958C22semidirect
63. #19098953C22semidirect
64. #19098945C22semidirect
65. #19098945C22semidirect
66. #19098933C22semidirect
67. #19098929C22semidirect
68. #19098920C22semidirect
69. #19098920C22semidirect
70. #19098904C22semidirect
71. #19098904C22semidirect
72. #19098901C22semidirect
73. #19098901C22semidirect
74. #19098898C22semidirect
75. #19098898C22semidirect
76. #19098887C22semidirect
77. #19098887C22semidirect
78. #19098884C22semidirect
79. #19098884C22semidirect
80. #19098881C22semidirect
81. #19098881C22semidirect
82. #19098867C22semidirect
83. #19098867C22semidirect
84. #19098860C22semidirect
85. #19098860C22semidirect
86. #19098819C22semidirect
87. #19098819C22semidirect
88. #19098819C22semidirect
89. #19098814C22semidirect
90. #19098811C22semidirect
91. #19098811C22semidirect
92. #19098811C22semidirect
93. #19098807C22semidirect
94. #19098802C22semidirect
95. #19098797C22semidirect
96. #19098797C22semidirect
97. #19098797C22semidirect
98. #19098794C22semidirect
99. #19098790C22semidirect
100. #19098790C22semidirect
101. #19098790C22semidirect
102. #19098785C22semidirect
103. #19098785C22semidirect
104. #19098782C22semidirect
105. #19098782C22semidirect
106. #19098778C22semidirect
107. #19098778C22semidirect
108. #19098775C22semidirect
109. #19098775C22semidirect
110. #19098773C22semidirect
111. #19098768C22semidirect
112. #19098763C22semidirect
113. #19098758C22semidirect
114. #19098725C22semidirect
115. #19098725C22semidirect
116. #19098723C22semidirect
117. #19098723C22semidirect
118. #19098723C22semidirect
119. #19098723C22semidirect
120. #19098723C22semidirect
121. #19098723C22semidirect
122. #19098723C22semidirect
123. #19098723C22semidirect
124. #19098723C22semidirect
125. #19098723C22semidirect
126. #19098723C22semidirect
127. #19098723C22semidirect
128. #19098719C22semidirect
129. #19098718C22semidirect
130. #19098714C22semidirect
131. #19098713C22semidirect
132. #19098708C22semidirect
133. #19098708C22semidirect
136. #19098706C22semidirect
137. #19098706C22semidirect
138. #19098706C22semidirect
139. #19098706C22semidirect
140. #19098706C22semidirect
141. #19098706C22semidirect
142. #19098702C22semidirect
143. #19098701C22semidirect
144. #19098701C22semidirect
145. #19098701C22semidirect
146. #19098697C22semidirect
147. #19098696C22semidirect
148. #19098696C22semidirect
149. #19098696C22semidirect
150. #19098673C22semidirect
151. #19098668C22semidirect
152. #19098663C22semidirect
153. #19098661C22semidirect
154. C4×#11929614C22semidirect
155. C4×#11929611C22semidirect
156. C4×#11929612C22semidirect
157. C4×#11929609C22semidirect
158. #19098641C22semidirect
159. #19098641C22semidirect
160. #19098635C22semidirect
161. #19098635C22semidirect
162. #19098635C22semidirect
163. #19098635C22semidirect
164. D4×C79⋊C8C22semidirect
165. D4×C79⋊C8C22semidirect
166. #19098620C22semidirect
167. #19098616C22semidirect
168. #19098571C22semidirect
169. #19098567C22semidirect
170. #19098562C22semidirect
171. #19098562C22semidirect
172. #19098557C22semidirect
173. #19098557C22semidirect
174. C2×#14579084C22semidirect
175. C2×#14579081C22semidirect
176. #19098527C22semidirect
177. #19098527C22semidirect
178. C2×C22⋊(C79⋊C8)C22semidirect
179. C2×C22⋊(C79⋊C8)C22semidirect
183. #553×C79C22semidirect
184. #552×C79C22semidirect
185. #552×C79C22semidirect
189. #548×C79C22semidirect
190. #546×C79C22semidirect
191. #546×C79C22semidirect
195. #529×C79C22semidirect
196. #529×C79C22semidirect
197. #525×C79C22semidirect
198. #525×C79C22semidirect
199. C2×C22⋊Q8×C79C22semidirect
200. C2×#121×C79C22semidirect
951. #3505D79semidirect
982. C79#61606semidirect
996. #553C2×D79semidirect
997. #552C2×D79semidirect
998. #552C2×D79semidirect
1006. #548C2×D79semidirect
1013. #546C2×D79semidirect
1014. #546C2×D79semidirect
1022. #529C2×D79semidirect
1023. #529C2×D79semidirect
1028. #525C2×D79semidirect
1029. #525C2×D79semidirect
1030. C2×C22⋊Q8C2×D79semidirect
1031. C2×#121C2×D79semidirect

Maximal subgroups

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

subgroupindex
D4×#119296242
#237756622
#237756102
#237755652
#237755352
#237755202
#237754902
#237752962
#237752442
#237751372
#237751082
#237750272
#237750072
#237749662
#237749362
#237749212
#237748962
#237744332
#237743722
#237742372
#237742302
#237741882
#237741652
#237735032
#237734122
#237726502
#237726402
#237726162
C2×#190987232
#237724352
C79×#35052
#6160679