Finite Group Databasebeta

← #35174833

Subgroups — #35174833

Order 20224.

2100 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
1#23777693C211yesmaximal, characteristic, complemented
2#23777061C211yesmaximal, characteristic, complemented
3#23775739C211yesmaximal, characteristic, complemented
4#23775670C211yesmaximal, characteristic, complemented
5#23775632C211yesmaximal, characteristic, complemented
6#23775603C211yesmaximal, characteristic, complemented
7#23775483C211yesmaximal, characteristic, complemented
8#23775468C211yesmaximal, characteristic, complemented
9#23775423C211yesmaximal, characteristic, complemented
10#23775408C211yesmaximal, characteristic, complemented
11#23775068C211yesmaximal, characteristic, complemented
12#23775058C211yesmaximal, characteristic, complemented
13#23775036C211yesmaximal, characteristic, complemented
14#23775002C211yesmaximal, characteristic, complemented
15#23774990C211yesmaximal, characteristic, complemented
16#23774960C211yesmaximal, characteristic, complemented
17#23774915C211yesmaximal, characteristic, complemented
18#23774900C211yesmaximal, characteristic, complemented
19#23774496C211yesmaximal, characteristic, complemented
20#23774474C211yesmaximal, characteristic, complemented
21#23774302C211yesmaximal, characteristic, complemented
22#23774284C211yesmaximal, characteristic, complemented
23#23774216C211yesmaximal, characteristic, complemented
24#23774207C211yesmaximal, characteristic, complemented
25#23773664C211yesmaximal, characteristic, complemented
26#23773616C211yesmaximal, characteristic, complemented
27#23772707C211yesmaximal, characteristic, complemented
28#23772679C211yesmaximal, characteristic, complemented
29#23772662C211yesmaximal, characteristic, complemented
30#23772645C211yesmaximal, characteristic, complemented
31C79×#2978C211yesmaximal, characteristic, complemented
32C2×#14579207C2211yescharacteristic
33C22×#11929624C2211yescharacteristic
34C2×#14579194C2211yescharacteristic, complemented
35C2×#14579194C2211yescharacteristic, complemented
36C2×#14579194C2211yescharacteristic, complemented
37C2×#14579194C2211yescharacteristic, complemented
38C2×#14579189C2211yescharacteristic, complemented
39C2×#14579189C2211yescharacteristic, complemented
40C2×#14579183C2211yescharacteristic, complemented
41C22×#11929613C2211yescharacteristic, complemented
42#19099314—21no—
43#19099308—21no—
44#19099283C2211yescharacteristic, complemented
45#19099270C2211yescharacteristic, complemented
46#19099267—21no—
47#19099259C2211yescharacteristic, complemented
48#19099256—21no—
49#19099253C2211yescharacteristic, complemented
50#19099234C2211yescharacteristic
51#19099234C2211yescharacteristic
52D4×Dic158C2211yescharacteristic, complemented
53#19099222C2211yescharacteristic
54#19099222C2211yescharacteristic
55#19099222C2211yescharacteristic, complemented
56#19099222C2211yescharacteristic, complemented
57#19099218C2211yescharacteristic, complemented
58#19099209C2211yescharacteristic
59#19099209C2211yescharacteristic
60#19099205—21no—
61#19099205—21no—
62D4×D316C2211yescharacteristic
63D4×D316C2211yescharacteristic
64#19099195—21no—
65#19099195—21no—
66#19099184C2211yescharacteristic, complemented
67#19099181—21no—
68#19099175C2211yescharacteristic, complemented
69#19099156—21no—
70#19099148—21no—
71#19099148—21no—
72#19099143—21no—
73#19099141C2211yescharacteristic
74#19099141C2211yescharacteristic, complemented
75#19099134C2211yescharacteristic, complemented
76#19099132C2211yescharacteristic
77#19099129—21no—
78#19099076—21no—
79#19099074C2211yescharacteristic, complemented
80C2×#14579140C2211yescharacteristic, complemented
81C2×#14579135C2211yescharacteristic
82#121×D79—21no—
83#19099043C2211yescharacteristic
84#19098957C2211yescharacteristic, complemented
85#19098952C2211yescharacteristic, complemented
86#19098947C2211yescharacteristic, complemented
87#19098936C2211yescharacteristic, complemented
88#19098928C2211yescharacteristic, complemented
89#19098923C2211yescharacteristic, complemented
90#19098918C2211yescharacteristic, complemented
91#19098910C2211yescharacteristic, complemented
92#19098905C2211yescharacteristic, complemented
93#19098899C2211yescharacteristic, complemented
94#19098899C2211yescharacteristic, complemented
95#19098899C2211yescharacteristic, complemented
96#19098894C2211yescharacteristic, complemented
97#19098888C2211yescharacteristic, complemented
98#19098888C2211yescharacteristic, complemented
99#19098888C2211yescharacteristic, complemented
100#19098877C2211yescharacteristic, complemented
101#19098877C2211yescharacteristic, complemented
102#19098877C2211yescharacteristic, complemented
103#19098877C2211yescharacteristic, complemented
104#19098871C2211yescharacteristic, complemented
105#19098864C2211yescharacteristic, complemented
106#19098859C2211yescharacteristic, complemented
107#19098844C2211yescharacteristic, complemented
108#19098821C2211yescharacteristic, complemented
109#19098816C2211yescharacteristic, complemented
110#19098816C2211yescharacteristic, complemented
111#19098809C2211yescharacteristic, complemented
112#19098809C2211yescharacteristic, complemented
113#19098809C2211yescharacteristic, complemented
114#19098809C2211yescharacteristic, complemented
115#19098809C2211yescharacteristic, complemented
116#19098809C2211yescharacteristic, complemented
117#19098809C2211yescharacteristic, complemented
118#19098809C2211yescharacteristic, complemented
119#19098809C2211yescharacteristic, complemented
120#19098804C2211yescharacteristic, complemented
121#19098804C2211yescharacteristic, complemented
122#19098799C2211yescharacteristic, complemented
123#19098792C2211yescharacteristic, complemented
124#19098786C2211yescharacteristic, complemented
125#19098786C2211yescharacteristic, complemented
126#19098786C2211yescharacteristic, complemented
127#19098786C2211yescharacteristic, complemented
128#19098779C2211yescharacteristic, complemented
129#19098779C2211yescharacteristic, complemented
130#19098774C2211yescharacteristic, complemented
131#19098769C2211yescharacteristic, complemented
132#19098764C2211yescharacteristic, complemented
133#19098764C2211yescharacteristic, complemented
134#19098764C2211yescharacteristic, complemented
135#19098759C2211yescharacteristic, complemented
136#19098727C2211yescharacteristic
137#19098727C2211yescharacteristic
138#19098727C2211yescharacteristic
139#19098727C2211yescharacteristic, complemented
140#19098727C2211yescharacteristic, complemented
141#19098727C2211yescharacteristic, complemented
142#19098727C2211yescharacteristic, complemented
143#19098727C2211yescharacteristic, complemented
144#19098727C2211yescharacteristic, complemented
145#19098727C2211yescharacteristic, complemented
146#19098727C2211yescharacteristic, complemented
147#19098727C2211yescharacteristic, complemented
148#19098721C2211yescharacteristic, complemented
149#19098721C2211yescharacteristic, complemented
150#19098721C2211yescharacteristic, complemented
151#19098716C2211yescharacteristic, complemented
152#19098716C2211yescharacteristic, complemented
153#19098716C2211yescharacteristic, complemented
154#19098716C2211yescharacteristic, complemented
155#19098716C2211yescharacteristic, complemented
156#19098716C2211yescharacteristic, complemented
157#19098716C2211yescharacteristic, complemented
158#19098716C2211yescharacteristic, complemented
159#19098710C2211yescharacteristic
160#19098710C2211yescharacteristic, complemented
161#19098710C2211yescharacteristic, complemented
162#19098710C2211yescharacteristic, complemented
163#19098710C2211yescharacteristic, complemented
164#19098710C2211yescharacteristic, complemented
165#19098710C2211yescharacteristic, complemented
166#19098710C2211yescharacteristic, complemented
167#19098704C2211yescharacteristic, complemented
168#19098704C2211yescharacteristic, complemented
169#19098704C2211yescharacteristic, complemented
170#19098699C2211yescharacteristic, complemented
171#19098699C2211yescharacteristic, complemented
172#19098671C2211yescharacteristic, complemented
173#19098665C2211yescharacteristic, complemented
174#19098665C2211yescharacteristic, complemented
175#19098665C2211yescharacteristic, complemented
176C4×Dic316C2211yescharacteristic, complemented
177C4×Dic316C2211yescharacteristic, complemented
178C4×#11929613C2211yescharacteristic, complemented
179C4×D632C2211yescharacteristic, complemented
180#19098573C2211yescharacteristic, complemented
181#19098569C2211yescharacteristic, complemented
182#19098569C2211yescharacteristic, complemented
183#19098565C2211yescharacteristic, complemented
184#19098565C2211yescharacteristic, complemented
185#19098565C2211yescharacteristic, complemented
186#19098560C2211yescharacteristic, complemented
187C2×#14579083C2211yescharacteristic, complemented
188#525×C79C2211yescharacteristic
189#436×C79C2211yescharacteristic, complemented
190#436×C79C2211yescharacteristic, complemented
191#436×C79C2211yescharacteristic, complemented
192#436×C79C2211yescharacteristic, complemented
193#435×C79C2211yescharacteristic, complemented
194#435×C79C2211yescharacteristic, complemented
195#435×C79C2211yescharacteristic, complemented
196#435×C79C2211yescharacteristic, complemented
197#433×C79C2211yescharacteristic, complemented
198#433×C79C2211yescharacteristic, complemented
199#408×C79C2211yescharacteristic, complemented
200#408×C79C2211yescharacteristic, complemented
201#407×C79C2211yescharacteristic, complemented
202#407×C79C2211yescharacteristic, complemented
203#14579207—42no—
204#14579207—42no—
205C2×#11929625—21no—
206C2×#11929624—21no—
207C2×#11929624—21no—
208C2×#11929624—42no—
209C2×#11929624—42no—
210C2×#11929624C2311yescharacteristic
211C2×#11929624C2311yescharacteristic
212C2×#11929624C2311yescharacteristic
213C2×#11929624C2311yescharacteristic
214C2×#11929624C2311yescharacteristic
215C2×#11929624C2311yescharacteristic
216C2×#11929624C2311yescharacteristic
217C2×#11929624C2311yescharacteristic
218C22×Dic158C2311yescharacteristic
219C22×Dic158C2311yescharacteristic
220C22×Dic158C2311yescharacteristic
221C22×D316C2311yescharacteristic
222C22×D316C2311yescharacteristic
223C22×D316C2311yescharacteristic
224C22×D316C2311yescharacteristic
225C22×C22⋊D79—21no—
226C22×C22⋊D79—21no—
227C2×D4×D79—21no—
228C2×D4×D79—21no—
229C2×D4×D79—21no—
230C2×D4×D79—21no—
231C2×D4×D79—21no—
232C22×C4×D79—21no—
233#14579194—42no—
234#14579194—42no—
235#14579194—42no—
236#14579194—42no—
237#14579189—42no—
238#14579189—42no—
239#14579183—42no—
240C2×Dic316C2311yescharacteristic
241C2×Dic316C2311yescharacteristic
242C2×Dic316C2311yescharacteristic
243C2×Dic316C2311yescharacteristic
244C2×Dic316C2311yescharacteristic
245C2×Dic316C2311yescharacteristic
246C2×#11929613—42no—
247C2×#11929613C2311yescharacteristic
248C2×#11929613C2311yescharacteristic
249C2×#11929613C2311yescharacteristic
250C2×#11929613C2311yescharacteristic
251C2×#11929613C2311yescharacteristic
252C2×#11929613C2311yescharacteristic
253C2×#11929613C2311yescharacteristic
254C2×#11929613C2311yescharacteristic
255C2×#11929613C2311yescharacteristic
256C2×#11929613C2311yescharacteristic
257C2×#11929613C2311yescharacteristic
258C2×#11929613C2311yescharacteristic
259C2×#11929613C2311yescharacteristic
260C2×#11929613C2311yescharacteristic
261C2×D632C2311yescharacteristic
262C2×D632C2311yescharacteristic
263C2×D632C2311yescharacteristic
264C2×D632C2311yescharacteristic
265#14579161C2311yescharacteristic
266#14579161C2311yescharacteristic
267#14579160—21no—
268#14579159—21no—
269#14579158C2311yescharacteristic
270#14579158C2311yescharacteristic
271#14579157—21no—
272#14579157—21no—
273#14579156—21no—
274#14579156—21no—
275#14579154—21no—
276#14579154—21no—
277#14579154—21no—
278#14579154—21no—
279#14579154—21no—
280#14579153C2311yescharacteristic
281#14579152—21no—
282#14579151—21no—
283#14579151—21no—
284#14579151—21no—
285#14579149C2311yescharacteristic
286#14579149C2311yescharacteristic
287#14579149C2311yescharacteristic
288#14579148—21no—
289#14579148—21no—
290#14579147—21no—
291#14579147—21no—
292#14579147—21no—
293#14579147—21no—
294#14579147—21no—
295#14579146—21no—
296#14579146—21no—
297#14579144—21no—
298#14579143—21no—
299#14579143—21no—
300#14579143—21no—
301#14579143—21no—
302#14579142—21no—
303#14579142—21no—
304#14579142—21no—
305#14579140—21no—
306#14579140—21no—
307#14579140C2311yescharacteristic
308#14579140C2311yescharacteristic
309#14579140C2311yescharacteristic
310#14579140C2311yescharacteristic
311#14579140C2311yescharacteristic
312#14579140C2311yescharacteristic
313#14579140C2311yescharacteristic
314#14579140C2311yescharacteristic
315#14579140C2311yescharacteristic
316#14579140C2311yescharacteristic
317#14579140C2311yescharacteristic
318#14579139—21no—
319#14579139—21no—
320#14579139—21no—
321#14579139—21no—
322#14579139—21no—
323#14579138—21no—
324#14579138—21no—
325#14579138—21no—
326#14579138—21no—
327#14579137—21no—
328#14579137—21no—
329#14579136—21no—
330#14579136—21no—
331#14579136—21no—
332#14579136—21no—
333#14579135—21no—
334#14579135—21no—
335#14579135C2311yescharacteristic
336#14579135C2311yescharacteristic
337#14579135C2311yescharacteristic
338#14579135C2311yescharacteristic
339#14579135C2311yescharacteristic
340#14579135C2311yescharacteristic
341#14579135C2311yescharacteristic
342#14579135C2311yescharacteristic
343#14579135C2311yescharacteristic
344#14579134—21no—
345#14579134—21no—
346#14579134—21no—
347#14579134—21no—
348#14579134—21no—
349#14579134—21no—
350#14579133—21no—
351#14579133—21no—
352#14579133—21no—
353#14579133—21no—
354#14579133—21no—
355#14579133—21no—
356#14579133—21no—
357#14579133—21no—
358#14579133—21no—
359#14579132—21no—
360#14579132—21no—
361#14579132—21no—
362#14579131—21no—
363#14579131—21no—
364#14579131—21no—
365#14579131—21no—
366#14579131—21no—
367#14579131—21no—
368#14579130—21no—
369#14579129—21no—
370#14579129—21no—
371C4×Dic158C2311yescharacteristic
372C4×Dic158C2311yescharacteristic
373C4×Dic158C2311yescharacteristic
374C4×Dic158C2311yescharacteristic
375C4×Dic158C2311yescharacteristic
376#14579126—21no—
377C4×D316C2311yescharacteristic
378C4×D316C2311yescharacteristic
379C4×D316C2311yescharacteristic
380D4×Dic79—21no—
381D4×Dic79—21no—
382#14579123—21no—
383#14579123—21no—
384C4×C22⋊D79—21no—
385C4×C22⋊D79—21no—
386(C22⋊D79)⋊C4—21no—
387(C22⋊D79)⋊C4—21no—
388(C22⋊D79)⋊C4—21no—
389(C22⋊D79)⋊C4—21no—
390(C22⋊D79)⋊C4—21no—
391(C22⋊D79)⋊C4—21no—
392(C22⋊D79)⋊C4—21no—
393#14579120C2311yescharacteristic
394#14579120C2311yescharacteristic
395#14579119—21no—
396#14579117—21no—
397C2×C4⋊Dic79C2311yescharacteristic
398C2×C4⋊Dic79C2311yescharacteristic
399C2×C4⋊Dic79C2311yescharacteristic
400C2×Dic79⋊C4—21no—
401C4⋊C4×D79—21no—
402C4⋊C4×D79—21no—
403C2×C22⋊Dic79—21no—
404C2×(C2×D79)⋊C4—21no—
405C22⋊C4×D79—21no—
406C22⋊C4×D79—21no—
407#14579095C2311yescharacteristic
408#14579095C2311yescharacteristic
409#14579095C2311yescharacteristic
410#14579095C2311yescharacteristic
411#14579095C2311yescharacteristic
412#14579095C2311yescharacteristic
413#14579093C2311yescharacteristic
414#14579093C2311yescharacteristic
415#14579086C2311yescharacteristic
416#14579086C2311yescharacteristic
417#14579086C2311yescharacteristic
418#14579086C2311yescharacteristic
419#14579086C2311yescharacteristic
420#14579086C2311yescharacteristic
421#14579086C2311yescharacteristic
422#14579086C2311yescharacteristic
423#14579086C2311yescharacteristic
424#14579086C2311yescharacteristic
425#14579086C2311yescharacteristic
426#14579086C2311yescharacteristic
427#14579086C2311yescharacteristic
428#14579086C2311yescharacteristic
429#14579083C2311yescharacteristic
430#14579083C2311yescharacteristic
431#14579083C2311yescharacteristic
432#14579083C2311yescharacteristic
433#14579083C2311yescharacteristic
434#14579083C2311yescharacteristic
435#14579083C2311yescharacteristic
436#14579083C2311yescharacteristic
437#14579083C2311yescharacteristic
438#14579083C2311yescharacteristic
439#14579083C2311yescharacteristic
440#14579083C2311yescharacteristic
441#14579083C2311yescharacteristic
442#14579083C2311yescharacteristic
443#14579083C2311yescharacteristic
444#14579083C2311yescharacteristic
445#14579083C2311yescharacteristic
446#14579083C2311yescharacteristic
447C2×#41×C79C2311yescharacteristic
448C23×C4×C79C2311yescharacteristic
449C2×M16×C79C2311yescharacteristic
450C2×M16×C79C2311yescharacteristic
451C2×M16×C79C2311yescharacteristic
452C2×M16×C79C2311yescharacteristic
453C2×M16×C79C2311yescharacteristic
454C2×M16×C79C2311yescharacteristic
455C22×C8×C79C2311yescharacteristic
456C22×C8×C79C2311yescharacteristic
457#123×C79D411yescharacteristic
458#123×C79D411yescharacteristic
459C22⋊Q8×C79D411yescharacteristic
460C22⋊Q8×C79D411yescharacteristic
461#121×C79D411yescharacteristic
462#121×C79D411yescharacteristic
463#120×C79D411yescharacteristic
464#120×C79D411yescharacteristic
465C4×D4×C79C2311yescharacteristic
466C4×D4×C79C2311yescharacteristic
467C4×D4×C79C2311yescharacteristic
468C4×D4×C79C2311yescharacteristic
469#117×C79C2311yescharacteristic
470C4⋊C8×C79C2311yescharacteristic
471C4⋊C8×C79C2311yescharacteristic
472C4⋊C8×C79C2311yescharacteristic
473C4⋊C8×C79C2311yescharacteristic
474C22⋊C8×C79C2311yescharacteristic
475C22⋊C8×C79C2311yescharacteristic
476C22⋊C8×C79C2311yescharacteristic
477C22⋊C8×C79C2311yescharacteristic
478C22⋊C8×C79C2311yescharacteristic
479C22⋊C8×C79C2311yescharacteristic
480C22⋊C8×C79C2311yescharacteristic
481C22⋊C8×C79C2311yescharacteristic
482C22⋊C8×C79C2311yescharacteristic
483C22⋊C8×C79C2311yescharacteristic
484C22⋊C8×C79C2311yescharacteristic
485C22⋊C8×C79C2311yescharacteristic
486#97×C79C2311yescharacteristic
487#97×C79C2311yescharacteristic
488C4×C8×C79C2311yescharacteristic
489C4×C8×C79C2311yescharacteristic
490C23×D79—21no—
491C23×D79—21no—
492C23×D79—21no—
493C23×D79—21no—
494#11929625—44no—
495#11929624—22no—
496#11929624—22no—
497#11929624—22no—
498#11929624—22no—
499#11929624—22no—
500#11929624—22no—
501#11929624—44no—
502#11929624—41no—
503#11929624—41no—
504#11929624—41no—
505#11929624—41no—
506#11929624—41no—
507#11929624—41no—
508#11929624—44no—
509#11929624—41no—
510#11929624—41no—
511#11929624—41no—
512#11929624—41no—
513C2×Dic158—22no—
514C2×Dic158—21no—
515C2×Dic158—21no—
516C2×Dic158—21no—
517C2×Dic158—21no—
518C2×Dic158—41no—
519C2×Dic158—41no—
520C2×Dic158—41no—
521C2×Dic158—41no—
522C2×Dic158—41no—
523C2×Dic158C2411yescharacteristic
524C2×Dic158C2411yescharacteristic
525C2×Dic158C2411yescharacteristic
526C2×Dic158C2411yescharacteristic
527C2×Dic158C2411yescharacteristic
528C2×D316—22no—
529C2×D316—22no—
530C2×D316—22no—
531C2×D316—21no—
532C2×D316—21no—
533C2×D316—21no—
534C2×D316—21no—
535C2×D316—21no—
536C2×D316—21no—
537C2×D316—21no—
538C2×D316—21no—
539C2×D316—41no—
540C2×D316—41no—
541C2×D316—41no—
542C2×D316—41no—
543C2×D316—41no—
544C2×D316C2411yescharacteristic
545C2×D316C2411yescharacteristic
546C2×D316C2411yescharacteristic
547C2×D316C2411yescharacteristic
548C2×D316C2411yescharacteristic
549C2×C22⋊D79—21no—
550C2×C22⋊D79—21no—
551C2×C22⋊D79—21no—
552C2×C22⋊D79—21no—
553C2×C22⋊D79—21no—
554C2×C22⋊D79—21no—
555C2×C22⋊D79—21no—
556C2×C22⋊D79—21no—
557C2×C22⋊D79—21no—
558C2×C22⋊D79—21no—
559C2×C22⋊D79—21no—
560C2×C22⋊D79—21no—
561C2×C22⋊D79—21no—
562C2×C22⋊D79—21no—
563C2×C22⋊D79—21no—
564C2×C22⋊D79—21no—
565C2×C22⋊D79—21no—
566C2×C22⋊D79—44no—
567C2×C22⋊D79—82no—
568D4×D79—44no—
569D4×D79—44no—
570D4×D79—44no—
571D4×D79—82no—
572D4×D79—82no—
573C22×Dic79—21no—
574C22×Dic79—21no—
575C22×Dic79—21no—
576C22×Dic79—21no—
577C22×Dic79—21no—
578C22×Dic79—21no—
579C2×C4×D79—21no—
580C2×C4×D79—21no—
581C2×C4×D79—21no—
582C2×C4×D79—21no—
583C2×C4×D79—21no—
584C2×C4×D79—21no—
585C2×C4×D79—21no—
586C2×C4×D79—21no—
587C2×C4×D79—21no—
588C2×C4×D79—21no—
589C2×C4×D79—21no—
590C2×C4×D79—44no—
591Dic316—22no—
592Dic316—22no—
593Dic316—22no—
594Dic316—41no—
595Dic316—41no—
596Dic316—41no—
597#11929613—22no—
598#11929613—22no—
599#11929613—22no—
600#11929613—22no—
601#11929613—41no—
602#11929613—41no—
603#11929613—41no—
604#11929613—41no—
605#11929613—41no—
606#11929613—41no—
607#11929613—41no—
608#11929613—41no—
609#11929613—41no—
610#11929613—41no—
611D632—22no—
612D632—41no—
613D632—41no—
614D632—41no—
615C4⋊Dic79—21no—
616C4⋊Dic79—21no—
617C4⋊Dic79—21no—
618C4⋊Dic79—21no—
619C4⋊Dic79—21no—
620C4⋊Dic79—21no—
621C4⋊Dic79C2411yescharacteristic
622C4⋊Dic79C2411yescharacteristic
623C4⋊Dic79C2411yescharacteristic
624C4⋊Dic79C2411yescharacteristic
625C4⋊Dic79C2411yescharacteristic
626C4⋊Dic79C2411yescharacteristic
627Dic79⋊C4—21no—
628Dic79⋊C4—21no—
629Dic79⋊C4—21no—
630Dic79⋊C4—21no—
631Dic79⋊C4—21no—
632Dic79⋊C4—21no—
633Dic79⋊C4—21no—
634Dic79⋊C4—21no—
635Dic79⋊C4—21no—
636Dic79⋊C4—21no—
637Dic79⋊C4—21no—
638Dic79⋊C4—21no—
639Dic79⋊C4—21no—
640Dic79⋊C4—21no—
641Dic79⋊C4—21no—
642Dic79⋊C4—21no—
643Dic79⋊C4—21no—
644Dic79⋊C4—21no—
645C22⋊Dic79—21no—
646C22⋊Dic79—21no—
647C22⋊Dic79—21no—
648C22⋊Dic79—21no—
649C22⋊Dic79—21no—
650C22⋊Dic79—21no—
651C22⋊Dic79—21no—
652C22⋊Dic79—21no—
653C22⋊Dic79—21no—
654C22⋊Dic79—21no—
655C22⋊Dic79—21no—
656C22⋊Dic79—21no—
657C22⋊Dic79—21no—
658(C2×D79)⋊C4—21no—
659(C2×D79)⋊C4—21no—
660(C2×D79)⋊C4—21no—
661(C2×D79)⋊C4—21no—
662(C2×D79)⋊C4—21no—
663(C2×D79)⋊C4—21no—
664(C2×D79)⋊C4—21no—
665(C2×D79)⋊C4—21no—
666(C2×D79)⋊C4—21no—
667(C2×D79)⋊C4—21no—
668(C2×D79)⋊C4—21no—
669(C2×D79)⋊C4—21no—
670(C2×D79)⋊C4—21no—
671(C2×D79)⋊C4—21no—
672(C2×D79)⋊C4—21no—
673(C2×D79)⋊C4—21no—
674(C2×D79)⋊C4—21no—
675(C2×D79)⋊C4—21no—
676C4×Dic79—21no—
677C4×Dic79—21no—
678C4×Dic79—21no—
679C4×Dic79—21no—
680C4×Dic79—21no—
681C4×Dic79—21no—
682C4×Dic79—21no—
683C24×C79C2×D411yescharacteristic
684#41×C79—41no—
685#41×C79—41no—
686C2×Q8×C79C2×D411yescharacteristic
687C2×D4×C79C2×D411yescharacteristic
688C2×D4×C79C2×D411yescharacteristic
689C2×D4×C79C2×D411yescharacteristic
690C2×D4×C79C2×D411yescharacteristic
691C2×D4×C79C2×D411yescharacteristic
692C2×D4×C79C2×D411yescharacteristic
693C2×D4×C79C2×D411yescharacteristic
694C22×C4×C79—41no—
695C22×C4×C79—41no—
696C22×C4×C79C2×D411yescharacteristic
697C22×C4×C79C2×D411yescharacteristic
698C22×C4×C79C2×D411yescharacteristic
699C22×C4×C79C2411yescharacteristic
700C22×C4×C79C2411yescharacteristic
701C22×C4×C79C2411yescharacteristic
702C22×C4×C79C2411yescharacteristic
703C22×C4×C79C2411yescharacteristic
704M16×C79—41no—
705M16×C79—41no—
706M16×C79—41no—
707M16×C79—41no—
708M16×C79—41no—
709M16×C79—41no—
710C2×C8×C79—41no—
711C2×C8×C79—41no—
712C2×C8×C79C2411yescharacteristic
713C2×C8×C79C2411yescharacteristic
714C2×C8×C79C2411yescharacteristic
715C2×C8×C79C2411yescharacteristic
716C2×C8×C79C2411yescharacteristic
717C2×C8×C79C2411yescharacteristic
718C2×C8×C79C2411yescharacteristic
719C2×C8×C79C2411yescharacteristic
720C4⋊C4×C79C2×D411yescharacteristic
721C4⋊C4×C79C2×D411yescharacteristic
722C4⋊C4×C79C2×D411yescharacteristic
723C4⋊C4×C79C2×D411yescharacteristic
724C4⋊C4×C79C2×D411yescharacteristic
725C4⋊C4×C79C2×D411yescharacteristic
726C22⋊C4×C79C2×D411yescharacteristic
727C22⋊C4×C79C2×D411yescharacteristic
728C22⋊C4×C79C2×D411yescharacteristic
729C22⋊C4×C79C2×D411yescharacteristic
730C22⋊C4×C79C2×D411yescharacteristic
731C22⋊C4×C79C2×D411yescharacteristic
732C22⋊C4×C79C2×D411yescharacteristic
733C22⋊C4×C79C2×D411yescharacteristic
734C22⋊C4×C79C2×D411yescharacteristic
735C22⋊C4×C79C2×D411yescharacteristic
736C42×C79C2411yescharacteristic
737C42×C79C2411yescharacteristic
738C23×C79—41no—
739C23×C79—41no—
740C23×C79—41no—
741C23×C79C22×D411yescharacteristic
742C23×C79C22×D411yescharacteristic
743C23×C79C22×D411yescharacteristic
744C23×C79C22×D411yescharacteristic
745C23×C79C22×D411yescharacteristic
746C22×D79—21no—
747C22×D79—21no—
748C22×D79—21no—
749C22×D79—21no—
750C22×D79—21no—
751C22×D79—42no—
752C22×D79—42no—
753C22×D79—42no—
754C22×D79—42no—
755C22×D79—42no—
756C22×D79—81no—
757C22×D79—81no—
758C22×D79—81no—
759C22×D79—81no—
760C22×D79—81no—
761C22×D79—81no—
762C22×D79—81no—
763Q8×C79—41no—
764D4×C79—41no—
765D4×C79—41no—
766D4×C79—41no—
767D4×C79—41no—
768D4×C79—41no—
769D4×C79—41no—
770D4×C79—41no—
771C2×C4×C79—21no—
772C2×C4×C79—21no—
773C2×C4×C79—21no—
774C2×C4×C79—21no—
775C2×C4×C79—21no—
776C2×C4×C79—21no—
777C2×C4×C79—21no—
778C2×C4×C79—21no—
779C2×C4×C79—21no—
780C2×C4×C79—21no—
781C2×C4×C79—41no—
782C2×C4×C79—41no—
783C2×C4×C79—41no—
784C2×C4×C79C22×D411yescharacteristic
785C2×C4×C79C22×D411yescharacteristic
786C2×C4×C79C22×D411yescharacteristic
787C2×C4×C79C22×D411yescharacteristic
788C2×C4×C79C22×D411yescharacteristic
789C2×C4×C79C22×D411yescharacteristic
790C2×C4×C79C22×D411yescharacteristic
791C2×C4×C79C22×D411yescharacteristic
792C2×C4×C79C22×D411yescharacteristic
793C2×C4×C79C2511yescharacteristic
794C22⋊D79—24no—
795C22⋊D79—42no—
796C22⋊D79—42no—
797C22⋊D79—42no—
798C22⋊D79—42no—
799C22⋊D79—42no—
800C22⋊D79—42no—
801C22⋊D79—42no—
802C22⋊D79—42no—
803C22⋊D79—81no—
804C22⋊D79—81no—
805C22⋊D79—81no—
806C22⋊D79—81no—
807C22⋊D79—81no—
808C22⋊D79—81no—
809C22⋊D79—81no—
810C22⋊D79—81no—
811C2×Dic79—21no—
812C2×Dic79—21no—
813C2×Dic79—21no—
814C2×Dic79—21no—
815C2×Dic79—21no—
816C2×Dic79—21no—
817C2×Dic79—21no—
818C2×Dic79—21no—
819C2×Dic79—21no—
820C2×Dic79—21no—
821C2×Dic79—21no—
822C2×Dic79—42no—
823C2×Dic79—81no—
824C2×Dic79—81no—
825C2×Dic79—81no—
826C2×Dic79—81no—
827C2×Dic79—81no—
828D316—21no—
829D316—21no—
830D316—21no—
831D316—21no—
832D316—21no—
833D316—21no—
834D316—21no—
835D316—21no—
836D316—21no—
837D316—42no—
838D316—42no—
839D316—42no—
840D316—42no—
841D316—81no—
842D316—81no—
843D316—81no—
844D316—81no—
845D316H(5,𝔽2)12yes—
846C4×D79—24no—
847C4×D79—42no—
848C4×D79—42no—
849C4×D79—42no—
850C4×D79—42no—
851C4×D79—42no—
852C4×D79—81no—
853C4×D79—81no—
854C4×D79—81no—
855C4×D79—81no—
856C4×D79—81no—
857Dic158—21no—
858Dic158—21no—
859Dic158—21no—
860Dic158—21no—
861Dic158—21no—
862Dic158—21no—
863Dic158—21no—
864Dic158—21no—
865Dic158—21no—
866Dic158—42no—
867Dic158—81no—
868Dic158—81no—
869Dic158—81no—
870Dic158H(5,𝔽2)12yes—
871C8×C79—21no—
872C8×C79—21no—
873C8×C79—21no—
874C8×C79—21no—
875C8×C79—21no—
876C8×C79—21no—
877C8×C79—21no—
878C8×C79—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—21no—
894C22×C79—82no—
895C22×C79C23×D411yescharacteristic
896C2×D79—22no—
897C2×D79—41no—
898C2×D79—41no—
899C2×D79—41no—
900C2×D79—41no—
901C2×D79—41no—
902C2×D79—41no—
903C2×D79—41no—
904C2×D79—41no—
905C2×D79—41no—
906C2×D79—41no—
907C2×D79—41no—
908C2×D79—41no—
909C2×D79—41no—
910C2×D79—41no—
911C2×D79—84no—
912C2×D79—162no—
913C2×D79—162no—
914C2×D79—162no—
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×C79C2×H(5,𝔽2)11yescharacteristic
925C4×C79C2×H(5,𝔽2)11yescharacteristic
926Dic79—22no—
927Dic79—41no—
928Dic79—41no—
929Dic79—41no—
930Dic79—41no—
931Dic79—41no—
932Dic79—41no—
933Dic79—41no—
934Dic79—41no—
935Dic79—41no—
936Dic79—41no—
937#61654—791nomaximal, Sylow
938C2×C79—41no—
939C2×C79—41no—
940C2×C79—41no—
941C2×C79—41no—
942C2×C79—41no—
943C2×C79#348411yescharacteristic
944C2×C79#358511yescharacteristic
945C2×C79#358611yescharacteristic
946D79—42no—
947D79—81no—
948D79—81no—
949D79—81no—
950D79—81no—
951#3541—791no—
952#3488—791no—
953#3333—791no—
954#3327—791no—
955#3324—791no—
956#3322—791no—
957#3314—791no—
958#3313—791no—
959#3310—791no—
960#3309—791no—
961#3278—791no—
962#3277—791no—
963#3275—791no—
964#3272—791no—
965#3271—791no—
966#3269—791no—
967#3266—791no—
968#3265—791no—
969#3224—791no—
970#3222—791no—
971#3203—791no—
972#3201—791no—
973#3194—791no—
974#3193—791no—
975#3124—791no—
976#3120—791no—
977#3012—791no—
978#3009—791no—
979#3007—791no—
980#3005—791no—
981#2978D7911yescharacteristic, complemented
982C79#6165411yescharacteristic, complemented, Sylow
983C2×H(5,𝔽2)—791no—
984C22×#41—791no—
985C2×#137—791no—
986C2×#137—791no—
987C2×#137—791no—
988C2×#137—791no—
989C2×AGL(1,ℤ/8)—791no—
990C2×AGL(1,ℤ/8)—791no—
991C2×#135—791no—
992C22×SD16—791no—
993#563—1581no—
994#562—1581no—
995#556—791no—
996#554—791no—
997#554—1581no—
998#553—791no—
999#553—1581no—
1000#552—791no—
1001#550—791no—
1002#550—791no—
1003D4×Q8—791no—
1004#548—791no—
1005#548—791no—
1006#548—791no—
1007#548—791no—
1008#547—791no—
1009#546—791no—
1010#546—791no—
1011#546—1581no—
1012#546—1581no—
1013D42—791no—
1014D42—791no—
1015D42—1581no—
1016D42—1581no—
1017#542—791no—
1018#542—1581no—
1019#541—791no—
1020#539—1581no—
1021#538—1581no—
1022#538—1581no—
1023#537—791no—
1024#537—791no—
1025#537—1581no—
1026#536—791no—
1027#535—791no—
1028#535—1581no—
1029#525—791no—
1030#525—1581no—
1031#525C2×D7911yescharacteristic
1032C2×C22⋊Q8—791no—
1033C2×#121—791no—
1034C2×#121—1581no—
1035#520—791no—
1036#497—791no—
1037#496—791no—
1038#495—791no—
1039#492—791no—
1040#490—791no—
1041#489—791no—
1042#488—791no—
1043#486—791no—
1044#485—791no—
1045#484—791no—
1046#484—791no—
1047#484—791no—
1048#483—791no—
1049#482—791no—
1050#482—791no—
1051#482—791no—
1052#480—791no—
1053#480—791no—
1054#480—791no—
1055#480—791no—
1056#479—791no—
1057#478—791no—
1058#477—791no—
1059#474—791no—
1060#470—791no—
1061#469—791no—
1062#469—791no—
1063#468—791no—
1064#468—791no—
1065#468—791no—
1066#468—791no—
1067#468—791no—
1068#468—791no—
1069#468—791no—
1070#468—791no—
1071#468—791no—
1072#467—791no—
1073#467—791no—
1074#466—791no—
1075#465—791no—
1076#464—791no—
1077#464—791no—
1078#464—791no—
1079#464—791no—
1080#463—791no—
1081#463—791no—
1082#462—791no—
1083#461—791no—
1084#460—791no—
1085#460—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#451—791no—
1101#451—791no—
1102#451—791no—
1103#450—791no—
1104#450—791no—
1105#450—791no—
1106#450—791no—
1107#450—791no—
1108#450—791no—
1109#450—791no—
1110#450—791no—
1111#449—791no—
1112#449—791no—
1113#449—791no—
1114#449—791no—
1115#449—791no—
1116#449—791no—
1117#449—791no—
1118#449—791no—
1119#448—791no—
1120#448—791no—
1121#448—791no—
1122#447—791no—
1123#447—791no—
1124#441—791no—
1125#440—791no—
1126#440—791no—
1127#440—791no—
1128C4×Q16—791no—
1129C4×Q16—791no—
1130C4×SD16—791no—
1131C4×D8—791no—
1132#436C2×D7911yescharacteristic, complemented
1133#436C2×D7911yescharacteristic, complemented
1134#436C2×D7911yescharacteristic, complemented
1135#436C2×D7911yescharacteristic, complemented
1136#435C2×D7911yescharacteristic, complemented
1137#435C2×D7911yescharacteristic, complemented
1138#435C2×D7911yescharacteristic, complemented
1139#435C2×D7911yescharacteristic, complemented
1140#433C2×D7911yescharacteristic, complemented
1141#433C2×D7911yescharacteristic, complemented
1142#419—791no—
1143#418—791no—
1144#418—791no—
1145#417—791no—
1146#417—791no—
1147#417—791no—
1148#416—791no—
1149C2×#102—791no—
1150#408C2×D7911yescharacteristic, complemented
1151#408C2×D7911yescharacteristic, complemented
1152#407C2×D7911yescharacteristic, complemented
1153#407C2×D7911yescharacteristic, complemented
1154H(5,𝔽2)—3162no—
1155H(5,𝔽2)—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—791no—
1166C2×#41—1581no—
1167C2×#41—1581no—
1168C2×#41—1581no—
1169C2×#41C22×D7911yescharacteristic
1170C22×Q8—791no—
1171C22×Q8—791no—
1172C22×Q8—791no—
1173C22×D4—791no—
1174C22×D4—791no—
1175C22×D4—791no—
1176C22×D4—791no—
1177C22×D4—1581no—
1178C22×D4—1581no—
1179C22×D4—1581no—
1180C22×D4—1581no—
1181C22×D4—1581no—
1182C22×D4—1581no—
1183C22×D4—1581no—
1184C23×C4—1581no—
1185C23×C4C22×D7911yescharacteristic
1186#137—3162no—
1187#137—3162no—
1188#137—3162no—
1189#137—3162no—
1190AGL(1,ℤ/8)—3162no—
1191AGL(1,ℤ/8)—3162no—
1192#135—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×SD16—791no—
1213C2×SD16—791no—
1214C2×D8—791no—
1215C2×D8—791no—
1216C2×D8—791no—
1217C2×D8—791no—
1218C2×M16C22×D7911yescharacteristic
1219C2×M16C22×D7911yescharacteristic
1220C2×M16C22×D7911yescharacteristic
1221C2×M16C22×D7911yescharacteristic
1222C2×M16C22×D7911yescharacteristic
1223C2×M16C22×D7911yescharacteristic
1224C22×C8C22×D7911yescharacteristic
1225C22×C8C22×D7911yescharacteristic
1226C4⋊Q8—791no—
1227C4⋊Q8—791no—
1228C4⋊Q8—1581no—
1229C4⋊Q8—1581no—
1230#127—791no—
1231#127—791no—
1232#127—1581no—
1233#127—1581no—
1234#126—1581no—
1235#126—1581no—
1236#126—1581no—
1237#126—1581no—
1238#126—1581no—
1239#126—1581no—
1240#126—1581no—
1241#125—791no—
1242#125—1581no—
1243#125—1581no—
1244#125—1581no—
1245#125—1581no—
1246#124—791no—
1247#124—791no—
1248#124—791no—
1249#124—1581no—
1250#124—1581no—
1251#124—1581no—
1252#124—1581no—
1253#124—1581no—
1254#124—1581no—
1255#124—1581no—
1256#123—1581no—
1257#123—1581no—
1258#123—1581no—
1259#123—1581no—
1260#123—1581no—
1261#123—1581no—
1262#123—1581no—
1263#123—1581no—
1264#123—1581no—
1265#123—1581no—
1266#123D31611yescharacteristic
1267#123D31611yescharacteristic
1268C22⋊Q8—791no—
1269C22⋊Q8—791no—
1270C22⋊Q8—791no—
1271C22⋊Q8—791no—
1272C22⋊Q8—791no—
1273C22⋊Q8—791no—
1274C22⋊Q8—791no—
1275C22⋊Q8—791no—
1276C22⋊Q8—791no—
1277C22⋊Q8—791no—
1278C22⋊Q8—791no—
1279C22⋊Q8—1581no—
1280C22⋊Q8—1581no—
1281C22⋊Q8—1581no—
1282C22⋊Q8—1581no—
1283C22⋊Q8—1581no—
1284C22⋊Q8—1581no—
1285C22⋊Q8—1581no—
1286C22⋊Q8—1581no—
1287C22⋊Q8—1581no—
1288C22⋊Q8—1581no—
1289C22⋊Q8—1581no—
1290C22⋊Q8—1581no—
1291C22⋊Q8—1581no—
1292C22⋊Q8D31611yescharacteristic
1293C22⋊Q8D31611yescharacteristic
1294#121—791no—
1295#121—791no—
1296#121—791no—
1297#121—791no—
1298#121—791no—
1299#121—791no—
1300#121—791no—
1301#121—791no—
1302#121—791no—
1303#121—1581no—
1304#121—1581no—
1305#121—1581no—
1306#121—1581no—
1307#121—1581no—
1308#121—1581no—
1309#121—1581no—
1310#121—1581no—
1311#121—1581no—
1312#121—1581no—
1313#121—1581no—
1314#121—1581no—
1315#121—1581no—
1316#121—1581no—
1317#121—1581no—
1318#121—1581no—
1319#121—1581no—
1320#121—1581no—
1321#121—1581no—
1322#121—1581no—
1323#121—1581no—
1324#121—1581no—
1325#121—1581no—
1326#121—1581no—
1327#121D31611yescharacteristic
1328#121D31611yescharacteristic
1329#120—1581no—
1330#120—1581no—
1331#120—1581no—
1332#120—1581no—
1333#120—1581no—
1334#120—1581no—
1335#120—1581no—
1336#120—1581no—
1337#120—1581no—
1338#120D31611yescharacteristic
1339#120D31611yescharacteristic
1340C4×Q8—791no—
1341C4×Q8—791no—
1342C4×Q8—791no—
1343C4×Q8—791no—
1344C4×Q8—791no—
1345C4×Q8—1581no—
1346C4×D4—791no—
1347C4×D4—791no—
1348C4×D4—791no—
1349C4×D4—1581no—
1350C4×D4—1581no—
1351C4×D4—1581no—
1352C4×D4—1581no—
1353C4×D4—1581no—
1354C4×D4—1581no—
1355C4×D4—1581no—
1356C4×D4—1581no—
1357C4×D4—1581no—
1358C4×D4—1581no—
1359C4×D4—1581no—
1360C4×D4—1581no—
1361C4×D4—1581no—
1362C4×D4C22×D7911yescharacteristic
1363C4×D4C22×D7911yescharacteristic
1364C4×D4C22×D7911yescharacteristic
1365C4×D4C22×D7911yescharacteristic
1366#117—791no—
1367#117—791no—
1368#117—1581no—
1369#117—1581no—
1370#117C22×D7911yescharacteristic
1371C2×C4⋊C4—791no—
1372C2×C4⋊C4—791no—
1373C2×C4⋊C4—791no—
1374C2×C4⋊C4—1581no—
1375C2×C4⋊C4—1581no—
1376C2×C4⋊C4—1581no—
1377C2×C22⋊C4—1581no—
1378C2×C22⋊C4—1581no—
1379C2×C22⋊C4—1581no—
1380C2×C22⋊C4—1581no—
1381#107—791no—
1382#107—791no—
1383#107—791no—
1384#107—791no—
1385#107—791no—
1386#107—791no—
1387#106—791no—
1388#106—791no—
1389C4⋊C8C22×D7911yescharacteristic
1390C4⋊C8C22×D7911yescharacteristic
1391C4⋊C8C22×D7911yescharacteristic
1392C4⋊C8C22×D7911yescharacteristic
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#102—791no—
1408#102—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⋊C8C22×D7911yescharacteristic
1426C22⋊C8C22×D7911yescharacteristic
1427C22⋊C8C22×D7911yescharacteristic
1428C22⋊C8C22×D7911yescharacteristic
1429C22⋊C8C22×D7911yescharacteristic
1430C22⋊C8C22×D7911yescharacteristic
1431C22⋊C8C22×D7911yescharacteristic
1432C22⋊C8C22×D7911yescharacteristic
1433C22⋊C8C22×D7911yescharacteristic
1434C22⋊C8C22×D7911yescharacteristic
1435C22⋊C8C22×D7911yescharacteristic
1436C22⋊C8C22×D7911yescharacteristic
1437#97C22×D7911yescharacteristic
1438#97C22×D7911yescharacteristic
1439C4×C8C22×D7911yescharacteristic
1440C4×C8C22×D7911yescharacteristic
1441C24—1581no—
1442C24—1581no—
1443C24—1581no—
1444C24—1581no—
1445C24C2×D31611yescharacteristic
1446#41—41no—
1447#41—41no—
1448#41—3161no—
1449#41—3161no—
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—1582no—
1462#41—1582no—
1463#41—1582no—
1464#41—1582no—
1465#41—1582no—
1466#41—1582no—
1467C2×Q8—3161no—
1468C2×Q8—3161no—
1469C2×Q8—3161no—
1470C2×Q8—3161no—
1471C2×Q8—3161no—
1472C2×Q8—791no—
1473C2×Q8—791no—
1474C2×Q8—791no—
1475C2×Q8—791no—
1476C2×Q8—791no—
1477C2×Q8—1582no—
1478C2×Q8—1581no—
1479C2×Q8—1581no—
1480C2×Q8—1581no—
1481C2×Q8—1581no—
1482C2×Q8C2×D31611yescharacteristic
1483C2×D4—3161no—
1484C2×D4—3161no—
1485C2×D4—3161no—
1486C2×D4—3161no—
1487C2×D4—3161no—
1488C2×D4—3164no—
1489C2×D4—3164no—
1490C2×D4—3164no—
1491C2×D4—3164no—
1492C2×D4—791no—
1493C2×D4—791no—
1494C2×D4—791no—
1495C2×D4—791no—
1496C2×D4—791no—
1497C2×D4—6322no—
1498C2×D4—6322no—
1499C2×D4—6322no—
1500C2×D4—1582no—
1501C2×D4—1582no—
1502C2×D4—1582no—
1503C2×D4—1581no—
1504C2×D4—1581no—
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×D4—1581no—
1521C2×D4—1581no—
1522C2×D4—1581no—
1523C2×D4—1581no—
1524C2×D4—1581no—
1525C2×D4—1581no—
1526C2×D4—1581no—
1527C2×D4—1581no—
1528C2×D4C2×D31611yescharacteristic
1529C2×D4C2×D31611yescharacteristic
1530C2×D4C2×D31611yescharacteristic
1531C2×D4C2×D31611yescharacteristic
1532C2×D4C2×D31611yescharacteristic
1533C2×D4C2×D31611yescharacteristic
1534C2×D4C2×D31611yescharacteristic
1535C22×C4—41no—
1536C22×C4—41no—
1537C22×C4—3164no—
1538C22×C4—1581no—
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×C4—1581no—
1551C22×C4—1581no—
1552C22×C4—1581no—
1553C22×C4—1581no—
1554C22×C4—1581no—
1555C22×C4C2×D31611yescharacteristic
1556C22×C4C2×D31611yescharacteristic
1557C22×C4C2×D31611yescharacteristic
1558C22×C4C23×D7911yescharacteristic
1559C22×C4C23×D7911yescharacteristic
1560C22×C4C23×D7911yescharacteristic
1561C22×C4C23×D7911yescharacteristic
1562C22×C4C23×D7911yescharacteristic
1563Q16—3161no—
1564Q16—3161no—
1565Q16—3161no—
1566Q16—1582no—
1567Q16—1582no—
1568Q16—1582no—
1569SD16—3161no—
1570SD16—3161no—
1571SD16—3161no—
1572SD16—3161no—
1573SD16—3161no—
1574SD16—3161no—
1575SD16—3161no—
1576SD16—3161no—
1577SD16—3161no—
1578SD16—3161no—
1579SD16—1582no—
1580SD16—1582no—
1581SD16—1582no—
1582SD16—1582no—
1583D8—3161no—
1584D8—3161no—
1585D8—3161no—
1586D8—1582no—
1587M16—41no—
1588M16—41no—
1589M16—41no—
1590M16—41no—
1591M16—41no—
1592M16—41no—
1593C2×C8—41no—
1594C2×C8—41no—
1595C2×C8C23×D7911yescharacteristic
1596C2×C8C23×D7911yescharacteristic
1597C2×C8C23×D7911yescharacteristic
1598C2×C8C23×D7911yescharacteristic
1599C2×C8C23×D7911yescharacteristic
1600C2×C8C23×D7911yescharacteristic
1601C2×C8C23×D7911yescharacteristic
1602C2×C8C23×D7911yescharacteristic
1603C4⋊C4—791no—
1604C4⋊C4—791no—
1605C4⋊C4—791no—
1606C4⋊C4—791no—
1607C4⋊C4—791no—
1608C4⋊C4—791no—
1609C4⋊C4—1581no—
1610C4⋊C4—1581no—
1611C4⋊C4—1581no—
1612C4⋊C4—1581no—
1613C4⋊C4—1581no—
1614C4⋊C4—1581no—
1615C4⋊C4—1581no—
1616C4⋊C4—1581no—
1617C4⋊C4—1581no—
1618C4⋊C4—1581no—
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⋊C4—1581no—
1628C4⋊C4—1581no—
1629C4⋊C4—1581no—
1630C4⋊C4—1581no—
1631C4⋊C4—1581no—
1632C4⋊C4—1581no—
1633C4⋊C4C2×D31611yescharacteristic
1634C4⋊C4C2×D31611yescharacteristic
1635C4⋊C4C2×D31611yescharacteristic
1636C4⋊C4C2×D31611yescharacteristic
1637C4⋊C4C2×D31611yescharacteristic
1638C4⋊C4C2×D31611yescharacteristic
1639C22⋊C4—1581no—
1640C22⋊C4—1581no—
1641C22⋊C4—1581no—
1642C22⋊C4—1581no—
1643C22⋊C4—1581no—
1644C22⋊C4—1581no—
1645C22⋊C4—1581no—
1646C22⋊C4—1581no—
1647C22⋊C4—1581no—
1648C22⋊C4—1581no—
1649C22⋊C4—1581no—
1650C22⋊C4—1581no—
1651C22⋊C4—1581no—
1652C22⋊C4—1581no—
1653C22⋊C4—1581no—
1654C22⋊C4—1581no—
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×D31611yescharacteristic
1671C22⋊C4C2×D31611yescharacteristic
1672C22⋊C4C2×D31611yescharacteristic
1673C22⋊C4C2×D31611yescharacteristic
1674C22⋊C4C2×D31611yescharacteristic
1675C22⋊C4C2×D31611yescharacteristic
1676C22⋊C4C2×D31611yescharacteristic
1677C22⋊C4C2×D31611yescharacteristic
1678C22⋊C4C2×D31611yescharacteristic
1679C22⋊C4C2×D31611yescharacteristic
1680C42—1581no—
1681C42—1581no—
1682C42—1581no—
1683C42—1581no—
1684C42—1581no—
1685C42—1581no—
1686C42—1581no—
1687C42C23×D7911yescharacteristic
1688C42C23×D7911yescharacteristic
1689C23—41no—
1690C23—41no—
1691C23—41no—
1692C23—3162no—
1693C23—3162no—
1694C23—3162no—
1695C23—3162no—
1696C23—3162no—
1697C23—6321no—
1698C23—6321no—
1699C23—6321no—
1700C23—6321no—
1701C23—6321no—
1702C23—6321no—
1703C23—6321no—
1704C23—1581no—
1705C23—1581no—
1706C23—1581no—
1707C23—1581no—
1708C23—1581no—
1709C23C22×D31611yescharacteristic
1710C23C22×D31611yescharacteristic
1711C23C22×D31611yescharacteristic
1712C23C22×D31611yescharacteristic
1713C23C22×D31611yescharacteristic
1714Q8—41no—
1715Q8—3162no—
1716Q8—792no—
1717Q8—6321no—
1718Q8—6321no—
1719Q8—6321no—
1720Q8—1581no—
1721Q8—1581no—
1722Q8—1581no—
1723Q8—1581no—
1724Q8—1581no—
1725Q8—1581no—
1726Q8—1581no—
1727Q8—1581no—
1728Q8—1581no—
1729D4—41no—
1730D4—41no—
1731D4—41no—
1732D4—41no—
1733D4—41no—
1734D4—41no—
1735D4—41no—
1736D4—3162no—
1737D4—3162no—
1738D4—3162no—
1739D4—3162no—
1740D4—3162no—
1741D4—3162no—
1742D4—3162no—
1743D4—3162no—
1744D4—3162no—
1745D4—3162no—
1746D4—3162no—
1747D4—3162no—
1748D4—792no—
1749D4—6321no—
1750D4—6321no—
1751D4—6321no—
1752D4—6321no—
1753D4—6321no—
1754D4—6321no—
1755D4—6321no—
1756D4—6321no—
1757D4—6321no—
1758D4—6321no—
1759D4—6321no—
1760D4—6321no—
1761D4—1584no—
1762D4—1581no—
1763D4—1581no—
1764D4—1581no—
1765D4—1581no—
1766D4—1581no—
1767D4—1581no—
1768D4—1581no—
1769D4—1581no—
1770D4—1581no—
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—3162no—
1785C2×C4—3162no—
1786C2×C4—3162no—
1787C2×C4—3162no—
1788C2×C4—3162no—
1789C2×C4—3162no—
1790C2×C4—6321no—
1791C2×C4—6321no—
1792C2×C4—6321no—
1793C2×C4—6321no—
1794C2×C4—6321no—
1795C2×C4—6321no—
1796C2×C4—6321no—
1797C2×C4—6321no—
1798C2×C4—6321no—
1799C2×C4—6321no—
1800C2×C4—1584no—
1801C2×C4—1581no—
1802C2×C4—1581no—
1803C2×C4—1581no—
1804C2×C4—1581no—
1805C2×C4—1581no—
1806C2×C4—1581no—
1807C2×C4—1581no—
1808C2×C4—1581no—
1809C2×C4—1581no—
1810C2×C4—1581no—
1811C2×C4—1581no—
1812C2×C4C22×D31611yescharacteristic
1813C2×C4C22×D31611yescharacteristic
1814C2×C4C22×D31611yescharacteristic
1815C2×C4C22×D31611yescharacteristic
1816C2×C4C22×D31611yescharacteristic
1817C2×C4C22×D31611yescharacteristic
1818C2×C4C22×D31611yescharacteristic
1819C2×C4C22×D31611yescharacteristic
1820C2×C4C22×D31611yescharacteristic
1821C2×C4C24×D7911yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—21no—
1827C8—21no—
1828C8—21no—
1829C8—21no—
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—21no—
1845C22—82no—
1846C22—3161no—
1847C22—3161no—
1848C22—3161no—
1849C22—3161no—
1850C22—3161no—
1851C22—3161no—
1852C22—3161no—
1853C22—3161no—
1854C22—3161no—
1855C22—3161no—
1856C22—3161no—
1857C22—3161no—
1858C22—3161no—
1859C22—3161no—
1860C22—6324no—
1861C22—1582no—
1862C22—12642no—
1863C22—12642no—
1864C22—12642no—
1865C22C23×D31611yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—21no—
1871C4—21no—
1872C4—21no—
1873C4—21no—
1874C4—21no—
1875C4—3161no—
1876C4—3161no—
1877C4—3161no—
1878C4—3161no—
1879C4—3161no—
1880C4—3161no—
1881C4—3161no—
1882C4—3161no—
1883C4—3161no—
1884C4—3161no—
1885C4—1582no—
1886C4H(5,𝔽2)×D7911yescharacteristic
1887C4H(5,𝔽2)×D7911yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—41no—
1891C2—41no—
1892C2—41no—
1893C2—3162no—
1894C2—6321no—
1895C2—6321no—
1896C2—6321no—
1897C2—6321no—
1898C2#2377703611yescharacteristic
1899C2#2377818111yescharacteristic
1900C2#2377818811yescharacteristic
subgroupG/H
centerC22C23×D316
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#2978C2
socleC22×C79C23×D4
hypercenter#2978D79
hypocenterC79#61654
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #525 ◁ #2978

Complements

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

NH ≅ G/Ntype
1. #23777693C2semidirect
2. #23777061C2semidirect
3. #23775739C2semidirect
4. #23775670C2semidirect
5. #23775632C2semidirect
6. #23775603C2semidirect
7. #23775483C2semidirect
8. #23775468C2semidirect
9. #23775423C2semidirect
10. #23775408C2semidirect
11. #23775068C2semidirect
12. #23775058C2semidirect
13. #23775036C2semidirect
14. #23775002C2semidirect
15. #23774990C2semidirect
16. #23774960C2semidirect
17. #23774915C2semidirect
18. #23774900C2semidirect
19. #23774496C2semidirect
20. #23774474C2semidirect
21. #23774302C2semidirect
22. #23774284C2semidirect
23. #23774216C2semidirect
24. #23774207C2semidirect
25. #23773664C2semidirect
26. #23773616C2semidirect
27. #23772707C2semidirect
28. #23772679C2semidirect
29. #23772662C2semidirect
30. #23772645C2semidirect
31. C79×#2978C2semidirect
34. C2×#14579194C22semidirect
35. C2×#14579194C22semidirect
36. C2×#14579194C22semidirect
37. C2×#14579194C22semidirect
38. C2×#14579189C22semidirect
39. C2×#14579189C22semidirect
40. C2×#14579183C22semidirect
41. C22×#11929613C22semidirect
44. #19099283C22semidirect
45. #19099270C22semidirect
47. #19099259C22semidirect
49. #19099253C22semidirect
52. D4×Dic158C22semidirect
55. #19099222C22semidirect
56. #19099222C22semidirect
57. #19099218C22semidirect
66. #19099184C22semidirect
68. #19099175C22semidirect
74. #19099141C22semidirect
75. #19099134C22semidirect
79. #19099074C22semidirect
80. C2×#14579140C22semidirect
84. #19098957C22semidirect
85. #19098952C22semidirect
86. #19098947C22semidirect
87. #19098936C22semidirect
88. #19098928C22semidirect
89. #19098923C22semidirect
90. #19098918C22semidirect
91. #19098910C22semidirect
92. #19098905C22semidirect
93. #19098899C22semidirect
94. #19098899C22semidirect
95. #19098899C22semidirect
96. #19098894C22semidirect
97. #19098888C22semidirect
98. #19098888C22semidirect
99. #19098888C22semidirect
100. #19098877C22semidirect
101. #19098877C22semidirect
102. #19098877C22semidirect
103. #19098877C22semidirect
104. #19098871C22semidirect
105. #19098864C22semidirect
106. #19098859C22semidirect
107. #19098844C22semidirect
108. #19098821C22semidirect
109. #19098816C22semidirect
110. #19098816C22semidirect
111. #19098809C22semidirect
112. #19098809C22semidirect
113. #19098809C22semidirect
114. #19098809C22semidirect
115. #19098809C22semidirect
116. #19098809C22semidirect
117. #19098809C22semidirect
118. #19098809C22semidirect
119. #19098809C22semidirect
120. #19098804C22semidirect
121. #19098804C22semidirect
122. #19098799C22semidirect
123. #19098792C22semidirect
124. #19098786C22semidirect
125. #19098786C22semidirect
126. #19098786C22semidirect
127. #19098786C22semidirect
128. #19098779C22semidirect
129. #19098779C22semidirect
130. #19098774C22semidirect
131. #19098769C22semidirect
132. #19098764C22semidirect
133. #19098764C22semidirect
134. #19098764C22semidirect
135. #19098759C22semidirect
139. #19098727C22semidirect
140. #19098727C22semidirect
141. #19098727C22semidirect
142. #19098727C22semidirect
143. #19098727C22semidirect
144. #19098727C22semidirect
145. #19098727C22semidirect
146. #19098727C22semidirect
147. #19098727C22semidirect
148. #19098721C22semidirect
149. #19098721C22semidirect
150. #19098721C22semidirect
151. #19098716C22semidirect
152. #19098716C22semidirect
153. #19098716C22semidirect
154. #19098716C22semidirect
155. #19098716C22semidirect
156. #19098716C22semidirect
157. #19098716C22semidirect
158. #19098716C22semidirect
160. #19098710C22semidirect
161. #19098710C22semidirect
162. #19098710C22semidirect
163. #19098710C22semidirect
164. #19098710C22semidirect
165. #19098710C22semidirect
166. #19098710C22semidirect
167. #19098704C22semidirect
168. #19098704C22semidirect
169. #19098704C22semidirect
170. #19098699C22semidirect
171. #19098699C22semidirect
172. #19098671C22semidirect
173. #19098665C22semidirect
174. #19098665C22semidirect
175. #19098665C22semidirect
176. C4×Dic316C22semidirect
177. C4×Dic316C22semidirect
178. C4×#11929613C22semidirect
179. C4×D632C22semidirect
180. #19098573C22semidirect
181. #19098569C22semidirect
182. #19098569C22semidirect
183. #19098565C22semidirect
184. #19098565C22semidirect
185. #19098565C22semidirect
186. #19098560C22semidirect
187. C2×#14579083C22semidirect
189. #436×C79C22semidirect
190. #436×C79C22semidirect
191. #436×C79C22semidirect
192. #436×C79C22semidirect
193. #435×C79C22semidirect
194. #435×C79C22semidirect
195. #435×C79C22semidirect
196. #435×C79C22semidirect
197. #433×C79C22semidirect
198. #433×C79C22semidirect
199. #408×C79C22semidirect
200. #408×C79C22semidirect
201. #407×C79C22semidirect
202. #407×C79C22semidirect
981. #2978D79semidirect
982. C79#61654semidirect
1132. #436C2×D79semidirect
1133. #436C2×D79semidirect
1134. #436C2×D79semidirect
1135. #436C2×D79semidirect
1136. #435C2×D79semidirect
1137. #435C2×D79semidirect
1138. #435C2×D79semidirect
1139. #435C2×D79semidirect
1140. #433C2×D79semidirect
1141. #433C2×D79semidirect
1150. #408C2×D79semidirect
1151. #408C2×D79semidirect
1152. #407C2×D79semidirect
1153. #407C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237776932
#237770612
#237757392
#237756702
#237756322
#237756032
#237754832
#237754682
#237754232
#237754082
#237750682
#237750582
#237750362
#237750022
#237749902
#237749602
#237749152
#237749002
#237744962
#237744742
#237743022
#237742842
#237742162
#237742072
#237736642
#237736162
#237727072
#237726792
#237726622
#237726452
C79×#29782
#6165479