Finite Group Databasebeta

← #35172974

Subgroups — #35172974

Order 20224.

2282 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777236C211yesmaximal, characteristic, complemented
2#546×D79C211yesmaximal, characteristic, complemented
3#23775256C211yesmaximal, characteristic, complemented
4#23775254C211yesmaximal, characteristic, complemented
5#23775252C211yesmaximal, characteristic, complemented
6#23775250C211yesmaximal, characteristic, complemented
7#23775242C211yesmaximal, characteristic, complemented
8#23775240C211yesmaximal, characteristic, complemented
9#23775230C211yesmaximal, characteristic, complemented
10#23775228C211yesmaximal, characteristic, complemented
11#23775108C211yesmaximal, characteristic, complemented
12#23775107C211yesmaximal, characteristic, complemented
13#23775100C211yesmaximal, characteristic, complemented
14#23775084C211yesmaximal, characteristic, complemented
15#23775083C211yesmaximal, characteristic, complemented
16#23775080C211yesmaximal, characteristic, complemented
17#23775079C211yesmaximal, characteristic, complemented
18#23774369C211yesmaximal, characteristic, complemented
19#23774360C211yesmaximal, characteristic, complemented
20#23774173C211yesmaximal, characteristic, complemented
21#23774166C211yesmaximal, characteristic, complemented
22#23774163C211yesmaximal, characteristic, complemented
23#23774152C211yesmaximal, characteristic, complemented
24#23773451C211yesmaximal, characteristic, complemented
25#23773446C211yesmaximal, characteristic, complemented
26#23772621C211yesmaximal, characteristic, complemented
27#23772614C211yesmaximal, characteristic, complemented
28C2×#19098712C211yesmaximal, characteristic, complemented
29#447×D79C211yesmaximal, characteristic, complemented
30#23772421C211yesmaximal, characteristic, complemented
31C79×#3282C211yesmaximal, characteristic, complemented
32C2×#41×D79C2211yescharacteristic, complemented
33C22×D4×D79C2211yescharacteristic
34C2×#14579184C2211yescharacteristic, complemented
35C2×#14579182C2211yescharacteristic, complemented
36C2×#14579181C2211yescharacteristic, complemented
37C22×#11929611C2211yescharacteristic, complemented
38C2×D8×D79C2211yescharacteristic, complemented
39C2×D8×D79C2211yescharacteristic, complemented
40#19099265C2211yescharacteristic, complemented
41#19099262—21no—
42#19099259C2211yescharacteristic, complemented
43#19099256—21no—
44#19099254C2211yescharacteristic, complemented
45#19099247C2211yescharacteristic, complemented
46#19099243—21no—
47#19099240—21no—
48#19099224C2211yescharacteristic, complemented
49#19099210C2211yescharacteristic
50#19099209C2211yescharacteristic, complemented
51#19099208C2211yescharacteristic
52#19099207C2211yescharacteristic, complemented
53#19099206C2211yescharacteristic
54#19099206C2211yescharacteristic, complemented
55#19099205—21no—
56#19099204C2211yescharacteristic, complemented
57#19099203—21no—
58#19099202—21no—
59#19099201C2211yescharacteristic
60#19099201C2211yescharacteristic, complemented
61#19099200—21no—
62#19099159—21no—
63#19099147—21no—
64#19099121—21no—
65#19099100C2211yescharacteristic, complemented
66#19099092C2211yescharacteristic, complemented
67#124×D79C2211yescharacteristic, complemented
68#19099076C2211yescharacteristic, complemented
69#19099070C2211yescharacteristic, complemented
70#123×D79—21no—
71C2×#14579137C2211yescharacteristic
72C22⋊Q8×D79C2211yescharacteristic
73#121×D79—21no—
74#121×D79C2211yescharacteristic
75#121×D79C2211yescharacteristic, complemented
76#120×D79—21no—
77#19099035—21no—
78C4×D4×D79C2211yescharacteristic
79C4×D4×D79C2211yescharacteristic, complemented
80C2×C22⋊C4×D79—21no—
81#19098948C2211yescharacteristic, complemented
82#19098945C2211yescharacteristic, complemented
83#19098944C2211yescharacteristic, complemented
84#19098919C2211yescharacteristic, complemented
85#19098918C2211yescharacteristic, complemented
86#19098917C2211yescharacteristic, complemented
87#19098916C2211yescharacteristic, complemented
88#19098899C2211yescharacteristic, complemented
89#19098897C2211yescharacteristic, complemented
90#19098897C2211yescharacteristic, complemented
91#19098896C2211yescharacteristic, complemented
92#19098895C2211yescharacteristic, complemented
93#19098892C2211yescharacteristic, complemented
94#19098889C2211yescharacteristic, complemented
95#19098888C2211yescharacteristic, complemented
96#19098885C2211yescharacteristic, complemented
97#19098884C2211yescharacteristic, complemented
98#19098883C2211yescharacteristic, complemented
99#19098880C2211yescharacteristic, complemented
100#19098864C2211yescharacteristic, complemented
101#19098863C2211yescharacteristic, complemented
102#19098862C2211yescharacteristic, complemented
103#19098861C2211yescharacteristic, complemented
104#19098803C2211yescharacteristic, complemented
105#19098803C2211yescharacteristic, complemented
106#19098801C2211yescharacteristic, complemented
107#19098801C2211yescharacteristic, complemented
108#19098799C2211yescharacteristic, complemented
109#19098798C2211yescharacteristic, complemented
110#19098797C2211yescharacteristic, complemented
111#19098796C2211yescharacteristic, complemented
112#19098795C2211yescharacteristic, complemented
113#19098794C2211yescharacteristic, complemented
114#19098794C2211yescharacteristic, complemented
115#19098792C2211yescharacteristic, complemented
116#19098790C2211yescharacteristic, complemented
117#19098789C2211yescharacteristic, complemented
118#19098787C2211yescharacteristic, complemented
119#19098785C2211yescharacteristic, complemented
120#19098783C2211yescharacteristic, complemented
121#19098781C2211yescharacteristic, complemented
122#19098780C2211yescharacteristic, complemented
123#19098780C2211yescharacteristic, complemented
124#19098779C2211yescharacteristic, complemented
125#19098776C2211yescharacteristic, complemented
126#19098775C2211yescharacteristic, complemented
127#19098775C2211yescharacteristic, complemented
128#19098724C2211yescharacteristic, complemented
129#19098723C2211yescharacteristic, complemented
130#19098722C2211yescharacteristic, complemented
131#19098719C2211yescharacteristic, complemented
132#19098717C2211yescharacteristic, complemented
133#19098717C2211yescharacteristic, complemented
134#19098715C2211yescharacteristic, complemented
135#19098712C2211yescharacteristic, complemented
136#19098712C2211yescharacteristic, complemented
137#19098712C2211yescharacteristic, complemented
138#19098712C2211yescharacteristic, complemented
139#19098712C2211yescharacteristic, complemented
140#19098712C2211yescharacteristic, complemented
141#19098712C2211yescharacteristic, complemented
142#19098712C2211yescharacteristic, complemented
143#19098712C2211yescharacteristic, complemented
144#19098711C2211yescharacteristic, complemented
145#19098710C2211yescharacteristic, complemented
146#19098708C2211yescharacteristic, complemented
147#19098708C2211yescharacteristic, complemented
148#19098707C2211yescharacteristic, complemented
149#19098707C2211yescharacteristic, complemented
150#19098705C2211yescharacteristic, complemented
151#19098703C2211yescharacteristic, complemented
152#19098700C2211yescharacteristic, complemented
153#19098699C2211yescharacteristic, complemented
154#19098698C2211yescharacteristic
155#19098698C2211yescharacteristic
156#19098697C2211yescharacteristic, complemented
157#19098696C2211yescharacteristic, complemented
158#19098695C2211yescharacteristic
159#19098695C2211yescharacteristic
160SD16×Dic79C2211yescharacteristic, complemented
161C4×#11929611C2211yescharacteristic, complemented
162#19098648C2211yescharacteristic, complemented
163C4×D632C2211yescharacteristic, complemented
164D8×Dic79C2211yescharacteristic, complemented
165C4×#11929609C2211yescharacteristic, complemented
166#19098643C2211yescharacteristic, complemented
167C8×D316C2211yescharacteristic, complemented
168D4×C79⋊C8C2211yescharacteristic, complemented
169#19098628C2211yescharacteristic, complemented
170C8×C22⋊D79C2211yescharacteristic, complemented
171C8×C22⋊D79C2211yescharacteristic, complemented
172(C22⋊D79)⋊C8C2211yescharacteristic, complemented
173(C22⋊D79)⋊C8C2211yescharacteristic, complemented
174#19098615C2211yescharacteristic, complemented
175#19098614C2211yescharacteristic, complemented
176#19098560C2211yescharacteristic, complemented
177#19098559C2211yescharacteristic, complemented
178#19098558C2211yescharacteristic, complemented
179#19098556C2211yescharacteristic, complemented
180C2×#14579083C2211yescharacteristic, complemented
181C2×#14579082C2211yescharacteristic, complemented
182#102×D79C2211yescharacteristic, complemented
183#102×D79C2211yescharacteristic, complemented
184C2×(C2×D79)⋊C8C2211yescharacteristic
185C2×(C2×D79)⋊C8C2211yescharacteristic, complemented
186C22⋊C8×D79C2211yescharacteristic
187C22⋊C8×D79C2211yescharacteristic, complemented
188C2×#135×C79C2211yescharacteristic, complemented
189C22×SD16×C79C2211yescharacteristic, complemented
190#548×C79C2211yescharacteristic, complemented
191#546×C79C2211yescharacteristic, complemented
192#495×C79C2211yescharacteristic, complemented
193#465×C79C2211yescharacteristic, complemented
194#465×C79C2211yescharacteristic, complemented
195#464×C79C2211yescharacteristic, complemented
196#463×C79C2211yescharacteristic, complemented
197#452×C79C2211yescharacteristic, complemented
198#451×C79C2211yescharacteristic, complemented
199#449×C79C2211yescharacteristic, complemented
200#447×C79C2211yescharacteristic, complemented
201C4×SD16×C79C2211yescharacteristic, complemented
202C8×D4×C79C2211yescharacteristic, complemented
203C24×D79—21no—
204C2×#11929625C2311yescharacteristic
205C2×#11929625C2311yescharacteristic, complemented
206C2×#11929624—21no—
207C2×#11929624C2311yescharacteristic
208C2×#11929623—21no—
209C2×#11929623C2311yescharacteristic
210#41×D79—42no—
211#41×D79—42no—
212C2×Q8×D79C2311yescharacteristic
213C22×D316C2311yescharacteristic
214C22×C22⋊D79—21no—
215C2×D4×D79—21no—
216C2×D4×D79—21no—
217C2×D4×D79—21no—
218C2×D4×D79—21no—
219C2×D4×D79—21no—
220C2×D4×D79—42no—
221C2×D4×D79—42no—
222C2×D4×D79D411yescharacteristic
223C2×D4×D79C2311yescharacteristic
224C2×D4×D79C2311yescharacteristic
225C2×D4×D79C2311yescharacteristic
226C2×D4×D79C2311yescharacteristic
227C2×D4×D79C2311yescharacteristic
228C22×C4×D79—21no—
229C22×C4×D79—21no—
230C22×C4×D79C2311yescharacteristic
231C22×C4×D79C2311yescharacteristic
232#14579184—42no—
233#14579182—42no—
234#14579181—42no—
235C2×#11929614C2311yescharacteristic, complemented
236C2×#11929614C2311yescharacteristic, complemented
237C2×#11929613C2311yescharacteristic, complemented
238C2×#11929612C2311yescharacteristic, complemented
239C2×#11929611—42no—
240C2×#11929611C2311yescharacteristic
241C2×#11929611C2311yescharacteristic
242C2×#11929611C2311yescharacteristic
243C2×#11929611C2311yescharacteristic
244C2×#11929611C2311yescharacteristic, complemented
245C2×D632C2311yescharacteristic
246C2×D632C2311yescharacteristic
247C2×#11929609C2311yescharacteristic
248C2×#11929609C2311yescharacteristic
249C2×#11929609C2311yescharacteristic
250C2×#11929609C2311yescharacteristic
251D8×D79—42no—
252D8×D79—42no—
253C22×C79⋊C8C2311yescharacteristic
254C22×C79⋊C8C2311yescharacteristic, complemented
255C2×C8×D79C2311yescharacteristic
256C2×C8×D79C2311yescharacteristic
257C2×C8×D79C2311yescharacteristic, complemented
258C2×C8×D79C2311yescharacteristic, complemented
259#14579156—21no—
260#14579156—21no—
261#14579155—21no—
262#14579154—21no—
263#14579154—21no—
264#14579154—21no—
265#14579153C2311yescharacteristic, complemented
266#14579152C2311yescharacteristic, complemented
267#14579151—21no—
268#14579151—21no—
269#14579150—21no—
270#14579150C2311yescharacteristic
271#14579150C2311yescharacteristic, complemented
272#14579149C2311yescharacteristic
273#14579148C2311yescharacteristic
274#14579147—21no—
275#14579147—21no—
276#14579146—21no—
277#14579146—21no—
278#14579146—21no—
279#14579146—21no—
280#14579146—21no—
281#14579145—21no—
282#14579145—21no—
283#14579144—21no—
284#14579144—21no—
285#14579143—21no—
286#14579143—21no—
287#14579143—21no—
288#14579143—21no—
289#14579143—21no—
290#14579143—21no—
291#14579142—21no—
292#14579142—21no—
293#14579141C2311yescharacteristic
294#14579140C2311yescharacteristic
295#14579139—21no—
296#14579138—21no—
297#14579137—21no—
298#14579137—21no—
299#14579137—21no—
300#14579137C2311yescharacteristic
301#14579137C2311yescharacteristic
302#14579137C2311yescharacteristic
303#14579137C2311yescharacteristic
304#14579137C2311yescharacteristic
305#14579137C2311yescharacteristic, complemented
306#14579136—21no—
307#14579136C2311yescharacteristic
308#14579136C2311yescharacteristic
309#14579135—21no—
310#14579135—21no—
311#14579135C2311yescharacteristic
312#14579135C2311yescharacteristic
313#14579135C2311yescharacteristic, complemented
314#14579134—21no—
315#14579134—21no—
316#14579134—21no—
317#14579134—21no—
318#14579134—21no—
319#14579133—21no—
320#14579133—21no—
321#14579133—21no—
322#14579133—21no—
323#14579133—21no—
324#14579133—21no—
325#14579133—21no—
326#14579132—21no—
327#14579132C2311yescharacteristic
328#14579132C2311yescharacteristic
329#14579132C2311yescharacteristic, complemented
330#14579131—21no—
331#14579131—21no—
332#14579131—21no—
333#14579131—21no—
334#14579131—21no—
335#14579130—21no—
336#14579129—21no—
337#14579129—21no—
338#14579129—21no—
339#14579129—21no—
340#14579129—21no—
341Q8×Dic79C2311yescharacteristic, complemented
342C4×D316—21no—
343C4×D316C2311yescharacteristic
344C4×D316C2311yescharacteristic
345C4×D316C2311yescharacteristic, complemented
346D4×Dic79—21no—
347D4×Dic79D411yescharacteristic
348D4×Dic79C2311yescharacteristic
349D4×Dic79C2311yescharacteristic, complemented
350#14579123—21no—
351#14579123D411yescharacteristic
352#14579123C2311yescharacteristic
353C4×C22⋊D79—21no—
354C4×C22⋊D79—21no—
355C4×C22⋊D79—21no—
356C4×C22⋊D79—21no—
357C4×C22⋊D79C2311yescharacteristic
358C4×C22⋊D79C2311yescharacteristic
359(C22⋊D79)⋊C4—21no—
360(C22⋊D79)⋊C4—21no—
361(C22⋊D79)⋊C4—21no—
362(C22⋊D79)⋊C4—21no—
363(C22⋊D79)⋊C4D411yescharacteristic
364(C22⋊D79)⋊C4D411yescharacteristic
365#14579120C2311yescharacteristic, complemented
366#14579119—21no—
367#14579119C2311yescharacteristic, complemented
368#14579118—21no—
369#14579118—21no—
370#14579117—21no—
371C2×C4⋊Dic79C2311yescharacteristic
372C2×Dic79⋊C4—21no—
373C4⋊C4×D79—21no—
374C4⋊C4×D79D411yescharacteristic
375C4⋊C4×D79C2311yescharacteristic
376C4⋊C4×D79C2311yescharacteristic
377C2×C22⋊Dic79—21no—
378C2×(C2×D79)⋊C4—21no—
379C2×(C2×D79)⋊C4—21no—
380C2×(C2×D79)⋊C4—21no—
381C2×(C2×D79)⋊C4—21no—
382C22⋊C4×D79—21no—
383C22⋊C4×D79—21no—
384C22⋊C4×D79—21no—
385C22⋊C4×D79—21no—
386C22⋊C4×D79—21no—
387C22⋊C4×D79—21no—
388C22⋊C4×D79—21no—
389C22⋊C4×D79—21no—
390C22⋊C4×D79—21no—
391C22⋊C4×D79—21no—
392C22⋊C4×D79—21no—
393C22⋊C4×D79D411yescharacteristic
394C22⋊C4×D79D411yescharacteristic
395C42×D79C2311yescharacteristic
396#14579095C2311yescharacteristic, complemented
397#14579095C2311yescharacteristic, complemented
398#14579094C2311yescharacteristic, complemented
399#14579094C2311yescharacteristic, complemented
400#14579093C2311yescharacteristic, complemented
401#14579092C2311yescharacteristic, complemented
402#14579092C2311yescharacteristic, complemented
403C4⋊(C79⋊C8)C2311yescharacteristic, complemented
404Dic79⋊C8C2311yescharacteristic, complemented
405Dic79⋊C8C2311yescharacteristic, complemented
406#14579086C2311yescharacteristic, complemented
407#14579086C2311yescharacteristic, complemented
408#14579086C2311yescharacteristic, complemented
409#14579085C2311yescharacteristic, complemented
410#14579085C2311yescharacteristic, complemented
411#14579085C2311yescharacteristic, complemented
412#14579085C2311yescharacteristic, complemented
413#14579085C2311yescharacteristic, complemented
414#14579084C2311yescharacteristic, complemented
415#14579083C2311yescharacteristic
416#14579083C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579083C2311yescharacteristic
421#14579083C2311yescharacteristic, complemented
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579082C2311yescharacteristic
428#14579082C2311yescharacteristic, complemented
429#14579081C2311yescharacteristic
430#14579081C2311yescharacteristic
431#14579081C2311yescharacteristic, complemented
432C22⋊(C79⋊C8)C2311yescharacteristic
433C22⋊(C79⋊C8)C2311yescharacteristic, complemented
434(C2×D79)⋊C8C2311yescharacteristic
435(C2×D79)⋊C8C2311yescharacteristic
436(C2×D79)⋊C8C2311yescharacteristic
437(C2×D79)⋊C8C2311yescharacteristic
438(C2×D79)⋊C8C2311yescharacteristic
439(C2×D79)⋊C8C2311yescharacteristic
440(C2×D79)⋊C8C2311yescharacteristic, complemented
441(C2×D79)⋊C8C2311yescharacteristic, complemented
442C4×C79⋊C8C2311yescharacteristic, complemented
443C8×Dic79C2311yescharacteristic, complemented
444C8×Dic79C2311yescharacteristic, complemented
445C2×#41×C79C2311yescharacteristic
446C2×#41×C79C2311yescharacteristic, complemented
447C22×Q8×C79C2311yescharacteristic
448C22×D4×C79C2311yescharacteristic
449#135×C79—42no—
450C2×Q16×C79C2311yescharacteristic, complemented
451C2×Q16×C79C2311yescharacteristic, complemented
452C2×SD16×C79—42no—
453C2×SD16×C79C2311yescharacteristic
454C2×SD16×C79C2311yescharacteristic
455C2×SD16×C79C2311yescharacteristic
456C2×SD16×C79C2311yescharacteristic
457C2×SD16×C79C2311yescharacteristic, complemented
458C2×D8×C79C2311yescharacteristic
459C2×D8×C79C2311yescharacteristic
460C22×C8×C79C2311yescharacteristic
461C22×C8×C79C2311yescharacteristic, complemented
462#124×C79—21no—
463#124×C79C2311yescharacteristic
464#124×C79C2311yescharacteristic, complemented
465#123×C79—21no—
466C22⋊Q8×C79—21no—
467C22⋊Q8×C79C2311yescharacteristic
468C22⋊Q8×C79C2311yescharacteristic, complemented
469#121×C79—21no—
470#121×C79—21no—
471#121×C79C2311yescharacteristic
472#121×C79C2311yescharacteristic
473#120×C79—21no—
474C4×Q8×C79C2311yescharacteristic, complemented
475C4×D4×C79—21no—
476C4×D4×C79C2311yescharacteristic
477C4×D4×C79C2311yescharacteristic
478C2×C22⋊C4×C79—21no—
479#106×C79C2311yescharacteristic, complemented
480C4⋊C8×C79C2311yescharacteristic, complemented
481#103×C79C2311yescharacteristic, complemented
482#103×C79C2311yescharacteristic, complemented
483#103×C79C2311yescharacteristic, complemented
484#102×C79C2311yescharacteristic
485#102×C79C2311yescharacteristic
486#102×C79C2311yescharacteristic, complemented
487C22⋊C8×C79C2311yescharacteristic
488C22⋊C8×C79C2311yescharacteristic, complemented
489C4×C8×C79C2311yescharacteristic, complemented
490C23×D79—21no—
491C23×D79—21no—
492C23×D79—21no—
493C23×D79—21no—
494C23×D79—21no—
495C23×D79—21no—
496C23×D79—44no—
497C23×D79—44no—
498C23×D79—82no—
499C23×D79C2×D411yescharacteristic
500C23×D79C2×D411yescharacteristic
501#11929625—22no—
502#11929625—41no—
503#11929625—41no—
504#11929625—41no—
505#11929624—22no—
506#11929624—44no—
507#11929624—41no—
508#11929623—22no—
509#11929623—44no—
510#11929623—41no—
511C2×Dic158—21no—
512C2×Dic158C2411yescharacteristic
513Q8×D79—41no—
514Q8×D79—41no—
515C2×D316—21no—
516C2×D316—21no—
517C2×D316—21no—
518C2×D316—21no—
519C2×D316—22no—
520C2×D316—21no—
521C2×D316—41no—
522C2×D316C2×D411yescharacteristic
523C2×D316C2411yescharacteristic
524C2×D316C2411yescharacteristic
525C2×D316C2411yescharacteristic
526C2×C22⋊D79—21no—
527C2×C22⋊D79—21no—
528C2×C22⋊D79—21no—
529C2×C22⋊D79—21no—
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—44no—
540C2×C22⋊D79C2×D411yescharacteristic
541C2×C22⋊D79C2×D411yescharacteristic
542D4×D79—22no—
543D4×D79—24no—
544D4×D79—22no—
545D4×D79—22no—
546D4×D79—22no—
547D4×D79—44no—
548D4×D79—41no—
549D4×D79—41no—
550D4×D79—41no—
551D4×D79—41no—
552D4×D79—44no—
553D4×D79—44no—
554D4×D79—44no—
555D4×D79—41no—
556D4×D79—41no—
557D4×D79—82no—
558C22×Dic79—21no—
559C22×Dic79—21no—
560C22×Dic79—21no—
561C22×Dic79—21no—
562C22×Dic79C2×D411yescharacteristic
563C22×Dic79C2×D411yescharacteristic
564C2×C4×D79—21no—
565C2×C4×D79—21no—
566C2×C4×D79—21no—
567C2×C4×D79—21no—
568C2×C4×D79—21no—
569C2×C4×D79—21no—
570C2×C4×D79—21no—
571C2×C4×D79—21no—
572C2×C4×D79—21no—
573C2×C4×D79—41no—
574C2×C4×D79—41no—
575C2×C4×D79—41no—
576C2×C4×D79—41no—
577C2×C4×D79—44no—
578C2×C4×D79—82no—
579C2×C4×D79C2×D411yescharacteristic
580C2×C4×D79C2×D411yescharacteristic
581C2×C4×D79C2×D411yescharacteristic
582C2×C4×D79C2×D411yescharacteristic
583C2×C4×D79C2×D411yescharacteristic
584C2×C4×D79C2×D411yescharacteristic
585C2×C4×D79C2411yescharacteristic
586C2×C4×D79C2411yescharacteristic
587C2×C4×D79C2411yescharacteristic
588#11929614—41no—
589#11929614—41no—
590#11929613—41no—
591#11929612—41no—
592#11929611—22no—
593#11929611—22no—
594#11929611—41no—
595#11929611—41no—
596#11929611—41no—
597D632—22no—
598D632—41no—
599#11929609—22no—
600#11929609—22no—
601#11929609—41no—
602#11929609—41no—
603C2×C79⋊C8—41no—
604C2×C79⋊C8—41no—
605C2×C79⋊C8C2411yescharacteristic
606C2×C79⋊C8C2411yescharacteristic
607C2×C79⋊C8C2411yescharacteristic
608C2×C79⋊C8C2411yescharacteristic
609C8×D79—41no—
610C8×D79—41no—
611C8×D79—41no—
612C8×D79—41no—
613C4⋊Dic79—21no—
614C4⋊Dic79—21no—
615C4⋊Dic79—21no—
616C4⋊Dic79—21no—
617C4⋊Dic79C2×D411yescharacteristic
618C4⋊Dic79C2411yescharacteristic
619C4⋊Dic79C2411yescharacteristic
620C4⋊Dic79C2411yescharacteristic
621C4⋊Dic79C2411yescharacteristic
622Dic79⋊C4—21no—
623Dic79⋊C4—21no—
624Dic79⋊C4—21no—
625Dic79⋊C4—21no—
626Dic79⋊C4—21no—
627Dic79⋊C4—21no—
628Dic79⋊C4—21no—
629Dic79⋊C4—21no—
630Dic79⋊C4—21no—
631Dic79⋊C4—21no—
632Dic79⋊C4—21no—
633Dic79⋊C4—21no—
634Dic79⋊C4C2×D411yescharacteristic
635Dic79⋊C4C2×D411yescharacteristic
636C22⋊Dic79—21no—
637C22⋊Dic79—21no—
638C22⋊Dic79—21no—
639C22⋊Dic79—21no—
640C22⋊Dic79—21no—
641C22⋊Dic79—21no—
642C22⋊Dic79—21no—
643C22⋊Dic79—21no—
644C22⋊Dic79—21no—
645C22⋊Dic79C2×D411yescharacteristic
646C22⋊Dic79C2×D411yescharacteristic
647(C2×D79)⋊C4—21no—
648(C2×D79)⋊C4—21no—
649(C2×D79)⋊C4—21no—
650(C2×D79)⋊C4—21no—
651(C2×D79)⋊C4—21no—
652(C2×D79)⋊C4—21no—
653(C2×D79)⋊C4—21no—
654(C2×D79)⋊C4—21no—
655(C2×D79)⋊C4—21no—
656(C2×D79)⋊C4—21no—
657(C2×D79)⋊C4—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)⋊C4C2×D411yescharacteristic
670(C2×D79)⋊C4C2×D411yescharacteristic
671(C2×D79)⋊C4C2×D411yescharacteristic
672(C2×D79)⋊C4C2×D411yescharacteristic
673C4×Dic79—21no—
674C4×Dic79—21no—
675C4×Dic79—21no—
676C4×Dic79C2×D411yescharacteristic
677C4×Dic79C2×D411yescharacteristic
678C4×Dic79C2411yescharacteristic
679C24×C79—21no—
680#41×C79—22no—
681#41×C79—41no—
682#41×C79—41no—
683#41×C79—41no—
684C2×Q8×C79—21no—
685C2×Q8×C79—41no—
686C2×Q8×C79—41no—
687C2×Q8×C79C2411yescharacteristic
688C2×Q8×C79C2411yescharacteristic
689C2×Q8×C79C2411yescharacteristic
690C2×D4×C79—22no—
691C2×D4×C79—21no—
692C2×D4×C79—21no—
693C2×D4×C79—21no—
694C2×D4×C79—21no—
695C2×D4×C79—21no—
696C2×D4×C79—41no—
697C2×D4×C79C2×D411yescharacteristic
698C2×D4×C79C2411yescharacteristic
699C2×D4×C79C2411yescharacteristic
700C2×D4×C79C2411yescharacteristic
701C22×C4×C79—21no—
702C22×C4×C79—21no—
703C22×C4×C79—21no—
704C22×C4×C79—21no—
705C22×C4×C79C2411yescharacteristic
706C22×C4×C79C2411yescharacteristic
707Q16×C79—41no—
708Q16×C79—41no—
709SD16×C79—22no—
710SD16×C79—22no—
711SD16×C79—41no—
712SD16×C79—41no—
713SD16×C79—41no—
714D8×C79—22no—
715D8×C79—41no—
716C2×C8×C79—41no—
717C2×C8×C79—41no—
718C2×C8×C79C2411yescharacteristic
719C2×C8×C79C2411yescharacteristic
720C2×C8×C79C2411yescharacteristic
721C2×C8×C79C2411yescharacteristic
722C4⋊C4×C79—21no—
723C4⋊C4×C79—21no—
724C4⋊C4×C79—21no—
725C4⋊C4×C79C2×D411yescharacteristic
726C4⋊C4×C79C2411yescharacteristic
727C4⋊C4×C79C2411yescharacteristic
728C22⋊C4×C79—21no—
729C22⋊C4×C79—21no—
730C22⋊C4×C79—21no—
731C22⋊C4×C79—21no—
732C22⋊C4×C79—21no—
733C22⋊C4×C79—21no—
734C22⋊C4×C79—21no—
735C22⋊C4×C79—21no—
736C22⋊C4×C79—21no—
737C22⋊C4×C79C2×D411yescharacteristic
738C22⋊C4×C79C2×D411yescharacteristic
739C42×C79—21no—
740C42×C79C2411yescharacteristic
741C23×C79—21no—
742C23×C79—21no—
743C23×C79—21no—
744C23×C79—42no—
745C23×C79—42no—
746C23×C79—81no—
747C23×C79C22×D411yescharacteristic
748C23×C79C22×D411yescharacteristic
749C22×D79—24no—
750C22×D79—21no—
751C22×D79—22no—
752C22×D79—21no—
753C22×D79—21no—
754C22×D79—41no—
755C22×D79—41no—
756C22×D79—41no—
757C22×D79—41no—
758C22×D79—42no—
759C22×D79—42no—
760C22×D79—42no—
761C22×D79—42no—
762C22×D79—42no—
763C22×D79—42no—
764C22×D79—42no—
765C22×D79—42no—
766C22×D79—42no—
767C22×D79—42no—
768C22×D79—42no—
769C22×D79—42no—
770C22×D79—81no—
771C22×D79—81no—
772C22×D79—81no—
773C22×D79—81no—
774C22×D79—81no—
775C22×D79—816no—
776C22×D79#13514yescomplemented
777C22×D79C22×D411yescharacteristic
778C22×D79C22×D411yescharacteristic
779C22×D79C22×D411yescharacteristic
780Q8×C79—21no—
781Q8×C79—21no—
782Q8×C79—21no—
783Q8×C79—21no—
784Q8×C79—21no—
785Q8×C79—21no—
786Q8×C79—81no—
787D4×C79—22no—
788D4×C79—21no—
789D4×C79—21no—
790D4×C79—21no—
791D4×C79—21no—
792D4×C79—21no—
793D4×C79—42no—
794D4×C79—42no—
795D4×C79—42no—
796D4×C79—81no—
797D4×C79—81no—
798D4×C79H(5,𝔽2)12yes—
799C2×C4×C79—21no—
800C2×C4×C79—21no—
801C2×C4×C79—21no—
802C2×C4×C79—21no—
803C2×C4×C79—21no—
804C2×C4×C79—21no—
805C2×C4×C79—21no—
806C2×C4×C79—21no—
807C2×C4×C79—21no—
808C2×C4×C79—42no—
809C2×C4×C79—81no—
810C2×C4×C79—81no—
811C2×C4×C79—81no—
812C2×C4×C79C22×D411yescharacteristic
813C2×C4×C79C22×D411yescharacteristic
814C2×C4×C79C22×D411yescharacteristic
815C2×C4×C79C22×D411yescharacteristic
816C2×C4×C79C2511yescharacteristic
817C22⋊D79—24no—
818C22⋊D79—22no—
819C22⋊D79—22no—
820C22⋊D79—42no—
821C22⋊D79—42no—
822C22⋊D79—42no—
823C22⋊D79—42no—
824C22⋊D79—42no—
825C22⋊D79—42no—
826C22⋊D79—42no—
827C22⋊D79—81no—
828C22⋊D79—81no—
829C22⋊D79—81no—
830C22⋊D79—81no—
831C22⋊D79—81no—
832C2×Dic79—21no—
833C2×Dic79—21no—
834C2×Dic79—21no—
835C2×Dic79—21no—
836C2×Dic79—21no—
837C2×Dic79—41no—
838C2×Dic79—41no—
839C2×Dic79—42no—
840C2×Dic79—81no—
841C2×Dic79—81no—
842C2×Dic79—81no—
843C2×Dic79C22×D411yescharacteristic
844C2×Dic79C22×D411yescharacteristic
845C2×Dic79C22×D411yescharacteristic
846C2×Dic79C22×D411yescharacteristic
847C2×Dic79C22×D411yescharacteristic
848D316—22no—
849D316—21no—
850D316—21no—
851D316—21no—
852D316—21no—
853D316—21no—
854D316—42no—
855D316—42no—
856D316—42no—
857D316—81no—
858D316—81no—
859D316H(5,𝔽2)12yes—
860C4×D79—22no—
861C4×D79—21no—
862C4×D79—21no—
863C4×D79—21no—
864C4×D79—21no—
865C4×D79—21no—
866C4×D79—21no—
867C4×D79—41no—
868C4×D79—41no—
869C4×D79—41no—
870C4×D79—41no—
871C4×D79—41no—
872C4×D79—42no—
873C4×D79—42no—
874C4×D79—42no—
875C4×D79—42no—
876C4×D79—42no—
877C4×D79—81no—
878C4×D79—81no—
879C4×D79—81no—
880C4×D79—81no—
881Dic158—21no—
882Dic158—21no—
883Dic158—42no—
884C8×C79—21no—
885C8×C79—21no—
886C8×C79—21no—
887C8×C79—21no—
888C79⋊C8—21no—
889C79⋊C8—21no—
890C79⋊C8—21no—
891C79⋊C8—21no—
892C22×C79—21no—
893C22×C79—21no—
894C22×C79—21no—
895C22×C79—22no—
896C22×C79—21no—
897C22×C79—21no—
898C22×C79—41no—
899C22×C79—41no—
900C22×C79—41no—
901C22×C79—41no—
902C22×C79—41no—
903C22×C79—41no—
904C22×C79—41no—
905C22×C79—41no—
906C22×C79—84no—
907C22×C79C2×#13512yes—
908C22×C79C23×D411yescharacteristic
909C2×D79—21no—
910C2×D79—21no—
911C2×D79—21no—
912C2×D79—21no—
913C2×D79—21no—
914C2×D79—22no—
915C2×D79—21no—
916C2×D79—21no—
917C2×D79—44no—
918C2×D79—48no—
919C2×D79—41no—
920C2×D79—41no—
921C2×D79—41no—
922C2×D79—41no—
923C2×D79—41no—
924C2×D79—41no—
925C2×D79—41no—
926C2×D79—41no—
927C2×D79—82no—
928C2×D79—84no—
929C2×D79—84no—
930C2×D79—84no—
931C2×D79—84no—
932C2×D79—162no—
933C2×D79C2×#13512yes—
934C2×D79C2×#13512yes—
935C4×C79—21no—
936C4×C79—21no—
937C4×C79—21no—
938C4×C79—21no—
939C4×C79—41no—
940C4×C79—41no—
941C4×C79—41no—
942C4×C79—41no—
943C4×C79—41no—
944C4×C79C2×H(5,𝔽2)11yescharacteristic
945C4×C79C2×H(5,𝔽2)11yescharacteristic
946Dic79—21no—
947Dic79—21no—
948Dic79—21no—
949Dic79—21no—
950Dic79—21no—
951Dic79—41no—
952Dic79—41no—
953Dic79—41no—
954Dic79—41no—
955Dic79—41no—
956#61561—791nomaximal, Sylow
957C2×C79—22no—
958C2×C79—42no—
959C2×C79—41no—
960C2×C79—81no—
961C2×C79—81no—
962C2×C79#348411yescharacteristic
963C2×C79C22×#13511yescharacteristic
964C2×C79#358511yescharacteristic
965D79—22no—
966D79—22no—
967D79—41no—
968D79—42no—
969D79—81no—
970D79—81no—
971#3505—791no—
972C2×#546—791no—
973#3297—791no—
974#3297—791no—
975#3297—791no—
976#3297—791no—
977#3296—791no—
978#3296—791no—
979#3296—791no—
980#3296—791no—
981#3282—791no—
982#3282—791no—
983#3282—791no—
984#3282D7911yescharacteristic, complemented
985#3280—791no—
986#3280—791no—
987#3280—791no—
988#3280—791no—
989#3211—791no—
990#3211—791no—
991#3189—791no—
992#3188—791no—
993#3188—791no—
994#3187—791no—
995#3105—791no—
996#3105—791no—
997#3002—791no—
998#3002—791no—
999C2×#450—791no—
1000C2×#447—791no—
1001#2972—791no—
1002C79#6156111yescharacteristic, complemented, Sylow
1003C22×#41—791no—
1004C23×D4—791no—
1005C2×#135—791no—
1006C2×#135—791no—
1007C2×#135—791no—
1008C2×#135C2×D7911yescharacteristic, complemented
1009C22×SD16—791no—
1010C22×SD16C2×D7911yescharacteristic, complemented
1011C22×D8—791no—
1012C22×D8—791no—
1013#553—791no—
1014#553—791no—
1015#553—1581no—
1016#553—1581no—
1017#552—791no—
1018#552—791no—
1019#551—1581no—
1020#551—1581no—
1021#548—791no—
1022#548C2×D7911yescharacteristic, complemented
1023#546—791no—
1024#546—791no—
1025#546—791no—
1026#546—791no—
1027#546—791no—
1028#546—791no—
1029#546—791no—
1030#546—791no—
1031#546—791no—
1032#546—1581no—
1033#546—1581no—
1034#546—1581no—
1035#546—1581no—
1036#546C2×D7911yescharacteristic, complemented
1037#539—1581no—
1038#538—1581no—
1039#534—1581no—
1040#529—791no—
1041#529—791no—
1042C2×#124—791no—
1043#525—791no—
1044#525—791no—
1045C2×#123—1581no—
1046C2×C22⋊Q8—791no—
1047C2×C22⋊Q8—791no—
1048C2×#121—791no—
1049C2×#121—791no—
1050C2×#121—1581no—
1051C2×#120—1581no—
1052#518—1581no—
1053C2×C4×D4—791no—
1054C2×C4×D4—791no—
1055C22×C22⋊C4—1581no—
1056#495—791no—
1057#495—791no—
1058#495—791no—
1059#495C2×D7911yescharacteristic, complemented
1060#488—791no—
1061#488—791no—
1062#488—791no—
1063#488—791no—
1064#484—791no—
1065#484—791no—
1066#484—791no—
1067#484—791no—
1068#483—791no—
1069#483—791no—
1070#482—791no—
1071#482—791no—
1072#482—791no—
1073#482—791no—
1074#481—791no—
1075#481—791no—
1076#478—791no—
1077#478—791no—
1078#478—791no—
1079#478—791no—
1080#467—791no—
1081#467—791no—
1082#467—791no—
1083#467—791no—
1084#466—791no—
1085#466—791no—
1086#466—791no—
1087#466—791no—
1088#465—791no—
1089#465—791no—
1090#465—791no—
1091#465—791no—
1092#465—791no—
1093#465—791no—
1094#465C2×D7911yescharacteristic, complemented
1095#465C2×D7911yescharacteristic, complemented
1096#464—791no—
1097#464—791no—
1098#464—791no—
1099#464C2×D7911yescharacteristic, complemented
1100#463—791no—
1101#463—791no—
1102#463—791no—
1103#463—791no—
1104#463—791no—
1105#463—791no—
1106#463—791no—
1107#463C2×D7911yescharacteristic, complemented
1108#452—791no—
1109#452—791no—
1110#452—791no—
1111#452C2×D7911yescharacteristic, complemented
1112#451—791no—
1113#451—791no—
1114#451—791no—
1115#451C2×D7911yescharacteristic, complemented
1116#450—791no—
1117#450—791no—
1118#450—791no—
1119#450—791no—
1120#450—791no—
1121#450—791no—
1122#450—791no—
1123#450—791no—
1124#450—791no—
1125#450—791no—
1126#449—791no—
1127#449—791no—
1128#449—791no—
1129#449—791no—
1130#449—791no—
1131#449—791no—
1132#449—791no—
1133#449C2×D7911yescharacteristic, complemented
1134#448—791no—
1135#448—791no—
1136#447—791no—
1137#447—791no—
1138#447—791no—
1139#447—791no—
1140#447—791no—
1141#447—791no—
1142#447—791no—
1143#447C2×D7911yescharacteristic, complemented
1144C4×SD16—791no—
1145C4×SD16—791no—
1146C4×SD16—791no—
1147C4×SD16C2×D7911yescharacteristic, complemented
1148C4×D8—791no—
1149C4×D8—791no—
1150C4×D8—791no—
1151C4×D8—791no—
1152C8×D4—791no—
1153C8×D4—791no—
1154C8×D4—791no—
1155C8×D4—791no—
1156C8×D4—791no—
1157C8×D4—791no—
1158C8×D4—791no—
1159C8×D4C2×D7911yescharacteristic, complemented
1160#431—791no—
1161#431—791no—
1162#416—791no—
1163#416—791no—
1164#416—791no—
1165#416—791no—
1166C2×#102—791no—
1167C2×#102—791no—
1168C2×#102—791no—
1169C2×#102—791no—
1170C2×C22⋊C8—791no—
1171C2×C22⋊C8—791no—
1172C2×C22⋊C8—791no—
1173C2×C22⋊C8—791no—
1174C25—1581no—
1175C2×#41—3162no—
1176C2×#41—3162no—
1177C2×#41—791no—
1178C2×#41—791no—
1179C2×#41—791no—
1180C2×#41—791no—
1181C2×#41—1581no—
1182C2×#41—1581no—
1183C2×#41C22×D7911yescharacteristic
1184C2×#41C22×D7911yescharacteristic, complemented
1185C22×Q8—791no—
1186C22×Q8C22×D7911yescharacteristic
1187C22×D4—3162no—
1188C22×D4—3162no—
1189C22×D4—791no—
1190C22×D4—791no—
1191C22×D4—791no—
1192C22×D4—791no—
1193C22×D4—791no—
1194C22×D4—791no—
1195C22×D4—791no—
1196C22×D4—1581no—
1197C22×D4—1581no—
1198C22×D4—1581no—
1199C22×D4—1581no—
1200C22×D4—1581no—
1201C22×D4—1581no—
1202C22×D4C22×D7911yescharacteristic
1203C23×C4—791no—
1204C23×C4—791no—
1205C23×C4—1581no—
1206C23×C4—1581no—
1207#135—42no—
1208#135—3162no—
1209#135—3162no—
1210#135—3162no—
1211C2×Q16—791no—
1212C2×Q16—791no—
1213C2×Q16C22×D7911yescharacteristic, complemented
1214C2×Q16C22×D7911yescharacteristic, complemented
1215C2×SD16—42no—
1216C2×SD16—3162no—
1217C2×SD16—791no—
1218C2×SD16—791no—
1219C2×SD16—791no—
1220C2×SD16—791no—
1221C2×SD16—791no—
1222C2×SD16—791no—
1223C2×SD16—791no—
1224C2×SD16C22×D7911yescharacteristic
1225C2×SD16C22×D7911yescharacteristic
1226C2×SD16C22×D7911yescharacteristic
1227C2×SD16C22×D7911yescharacteristic
1228C2×SD16C22×D7911yescharacteristic, complemented
1229C2×D8—3162no—
1230C2×D8—3162no—
1231C2×D8—791no—
1232C2×D8—791no—
1233C2×D8—791no—
1234C2×D8—791no—
1235C2×D8—791no—
1236C2×D8—791no—
1237C2×D8C22×D7911yescharacteristic
1238C2×D8C22×D7911yescharacteristic
1239C22×C8—791no—
1240C22×C8—791no—
1241C22×C8—791no—
1242C22×C8—791no—
1243C22×C8—791no—
1244C22×C8—791no—
1245C22×C8C22×D7911yescharacteristic
1246C22×C8C22×D7911yescharacteristic, complemented
1247#126—1581no—
1248#126—1581no—
1249#126—1581no—
1250#126—1581no—
1251#126—1581no—
1252#126—1581no—
1253#125—791no—
1254#125—791no—
1255#125—1581no—
1256#125—1581no—
1257#124—21no—
1258#124—791no—
1259#124—791no—
1260#124—791no—
1261#124—791no—
1262#124—1581no—
1263#124—1581no—
1264#124—1581no—
1265#124C22×D7911yescharacteristic
1266#124C22×D7911yescharacteristic, complemented
1267#123—21no—
1268#123—1581no—
1269#123—1581no—
1270#123—1581no—
1271#123—1581no—
1272#123—1581no—
1273#123—1581no—
1274#123—1581no—
1275#123—1581no—
1276#123—1581no—
1277#123—1581no—
1278#123—1581no—
1279#123—1581no—
1280#123—1581no—
1281#123—1581no—
1282#123—1581no—
1283#123—1581no—
1284#123—1581no—
1285C22⋊Q8—21no—
1286C22⋊Q8—791no—
1287C22⋊Q8—791no—
1288C22⋊Q8—791no—
1289C22⋊Q8—791no—
1290C22⋊Q8—791no—
1291C22⋊Q8—791no—
1292C22⋊Q8—791no—
1293C22⋊Q8—791no—
1294C22⋊Q8—1581no—
1295C22⋊Q8—1581no—
1296C22⋊Q8—1581no—
1297C22⋊Q8—1581no—
1298C22⋊Q8—1581no—
1299C22⋊Q8C22×D7911yescharacteristic
1300C22⋊Q8C22×D7911yescharacteristic, complemented
1301#121—21no—
1302#121—21no—
1303#121—791no—
1304#121—791no—
1305#121—791no—
1306#121—791no—
1307#121—791no—
1308#121—791no—
1309#121—791no—
1310#121—791no—
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#121C22×D7911yescharacteristic
1328#121C22×D7911yescharacteristic
1329#120—21no—
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#120—1581no—
1339#120—1581no—
1340#120—1581no—
1341C4×Q8—791no—
1342C4×Q8C22×D7911yescharacteristic, complemented
1343C4×D4—21no—
1344C4×D4—791no—
1345C4×D4—791no—
1346C4×D4—791no—
1347C4×D4—791no—
1348C4×D4—791no—
1349C4×D4—791no—
1350C4×D4—791no—
1351C4×D4—791no—
1352C4×D4—791no—
1353C4×D4—791no—
1354C4×D4—791no—
1355C4×D4—791no—
1356C4×D4—1581no—
1357C4×D4—1581no—
1358C4×D4—1581no—
1359C4×D4—1581no—
1360C4×D4—1581no—
1361C4×D4—1581no—
1362C4×D4—1581no—
1363C4×D4—1581no—
1364C4×D4—1581no—
1365C4×D4—1581no—
1366C4×D4—1581no—
1367C4×D4C22×D7911yescharacteristic
1368C4×D4C22×D7911yescharacteristic
1369#117—791no—
1370#117—791no—
1371#117—1581no—
1372#117—1581no—
1373#117—1581no—
1374#117—1581no—
1375C2×C4⋊C4—791no—
1376C2×C4⋊C4—791no—
1377C2×C4⋊C4—791no—
1378C2×C4⋊C4—791no—
1379C2×C4⋊C4—1581no—
1380C2×C4⋊C4—1581no—
1381C2×C22⋊C4—21no—
1382C2×C22⋊C4—791no—
1383C2×C22⋊C4—791no—
1384C2×C22⋊C4—1581no—
1385C2×C22⋊C4—1581no—
1386C2×C22⋊C4—1581no—
1387C2×C22⋊C4—1581no—
1388C2×C22⋊C4—1581no—
1389C2×C22⋊C4—1581no—
1390C2×C22⋊C4—1581no—
1391C2×C22⋊C4—1581no—
1392C2×C22⋊C4—1581no—
1393C2×C22⋊C4—1581no—
1394C2×C22⋊C4—1581no—
1395C2×C22⋊C4—1581no—
1396C2×C22⋊C4—1581no—
1397C2×C22⋊C4—1581no—
1398C2×C22⋊C4—1581no—
1399C2×C22⋊C4—1581no—
1400C2×C42—791no—
1401#107—791no—
1402#107—791no—
1403#107—791no—
1404#107—791no—
1405#106—791no—
1406#106—791no—
1407#106—791no—
1408#106C22×D7911yescharacteristic, complemented
1409C4⋊C8—791no—
1410C4⋊C8—791no—
1411C4⋊C8—791no—
1412C4⋊C8C22×D7911yescharacteristic, complemented
1413#103—791no—
1414#103—791no—
1415#103—791no—
1416#103—791no—
1417#103—791no—
1418#103—791no—
1419#103—791no—
1420#103—791no—
1421#103—791no—
1422#103C22×D7911yescharacteristic, complemented
1423#103C22×D7911yescharacteristic, complemented
1424#103C22×D7911yescharacteristic, complemented
1425#102—791no—
1426#102—791no—
1427#102—791no—
1428#102—791no—
1429#102—791no—
1430#102—791no—
1431#102—791no—
1432#102—791no—
1433#102—791no—
1434#102—791no—
1435#102—791no—
1436#102—791no—
1437#102—791no—
1438#102—791no—
1439#102—791no—
1440#102—791no—
1441#102—791no—
1442#102C22×D7911yescharacteristic
1443#102C22×D7911yescharacteristic
1444#102C22×D7911yescharacteristic, complemented
1445C22⋊C8—791no—
1446C22⋊C8—791no—
1447C22⋊C8—791no—
1448C22⋊C8—791no—
1449C22⋊C8—791no—
1450C22⋊C8—791no—
1451C22⋊C8—791no—
1452C22⋊C8—791no—
1453C22⋊C8—791no—
1454C22⋊C8—791no—
1455C22⋊C8C22×D7911yescharacteristic
1456C22⋊C8C22×D7911yescharacteristic, complemented
1457C4×C8—791no—
1458C4×C8—791no—
1459C4×C8—791no—
1460C4×C8C22×D7911yescharacteristic, complemented
1461C24—21no—
1462C24—3164no—
1463C24—3164no—
1464C24—791no—
1465C24—791no—
1466C24—6322no—
1467C24—1581no—
1468C24—1581no—
1469C24—1581no—
1470C24—1581no—
1471C24—1581no—
1472C24—1581no—
1473#41—22no—
1474#41—41no—
1475#41—41no—
1476#41—41no—
1477#41—3161no—
1478#41—3164no—
1479#41—3164no—
1480#41—3161no—
1481#41—3161no—
1482#41—3161no—
1483#41—3161no—
1484#41—1582no—
1485#41—1582no—
1486#41—1582no—
1487C2×Q8—21no—
1488C2×Q8—41no—
1489C2×Q8—41no—
1490C2×Q8—3161no—
1491C2×Q8—3161no—
1492C2×Q8—791no—
1493C2×Q8—1581no—
1494C2×Q8C23×D7911yescharacteristic
1495C2×Q8C23×D7911yescharacteristic
1496C2×Q8C23×D7911yescharacteristic
1497C2×D4—22no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—41no—
1504C2×D4—3161no—
1505C2×D4—3164no—
1506C2×D4—3164no—
1507C2×D4—3164no—
1508C2×D4—3164no—
1509C2×D4—3164no—
1510C2×D4—3161no—
1511C2×D4—3161no—
1512C2×D4—3161no—
1513C2×D4—3161no—
1514C2×D4—3161no—
1515C2×D4—3161no—
1516C2×D4—791no—
1517C2×D4—791no—
1518C2×D4—791no—
1519C2×D4—791no—
1520C2×D4—791no—
1521C2×D4—791no—
1522C2×D4—6322no—
1523C2×D4—1581no—
1524C2×D4—1581no—
1525C2×D4—1582no—
1526C2×D4—1581no—
1527C2×D4—1581no—
1528C2×D4—1581no—
1529C2×D4—1581no—
1530C2×D4—1581no—
1531C2×D4—1581no—
1532C2×D4—1581no—
1533C2×D4—1582no—
1534C2×D4—1582no—
1535C2×D4—1584no—
1536C2×D4—1581no—
1537C2×D4—1581no—
1538C2×D4—1581no—
1539C2×D4—1581no—
1540C2×D4—1582no—
1541C2×D4—1581no—
1542C2×D4—1581no—
1543C2×D4—1581no—
1544C2×D4—1581no—
1545C2×D4—1582no—
1546C2×D4—1581no—
1547C2×D4D4×D7911yescharacteristic
1548C2×D4C23×D7911yescharacteristic
1549C2×D4C23×D7911yescharacteristic
1550C2×D4C23×D7911yescharacteristic
1551C22×C4—21no—
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—3161no—
1556C22×C4—3161no—
1557C22×C4—3161no—
1558C22×C4—3161no—
1559C22×C4—3164no—
1560C22×C4—791no—
1561C22×C4—791no—
1562C22×C4—791no—
1563C22×C4—791no—
1564C22×C4—791no—
1565C22×C4—791no—
1566C22×C4—791no—
1567C22×C4—791no—
1568C22×C4—791no—
1569C22×C4—791no—
1570C22×C4—791no—
1571C22×C4—6322no—
1572C22×C4—1581no—
1573C22×C4—1581no—
1574C22×C4—1581no—
1575C22×C4—1581no—
1576C22×C4—1581no—
1577C22×C4—1581no—
1578C22×C4—1581no—
1579C22×C4—1581no—
1580C22×C4—1581no—
1581C22×C4—1581no—
1582C22×C4—1581no—
1583C22×C4—1581no—
1584C22×C4—1581no—
1585C22×C4C23×D7911yescharacteristic
1586C22×C4C23×D7911yescharacteristic
1587Q16—41no—
1588Q16—41no—
1589Q16—3161no—
1590Q16—3161no—
1591SD16—22no—
1592SD16—22no—
1593SD16—41no—
1594SD16—41no—
1595SD16—41no—
1596SD16—3161no—
1597SD16—3161no—
1598SD16—3161no—
1599SD16—3161no—
1600SD16—3161no—
1601SD16—1582no—
1602SD16—1582no—
1603D8—22no—
1604D8—41no—
1605D8—3161no—
1606D8—3161no—
1607D8—3161no—
1608D8—1582no—
1609D8—1582no—
1610D8—1582no—
1611C2×C8—41no—
1612C2×C8—41no—
1613C2×C8—3161no—
1614C2×C8—3161no—
1615C2×C8—3161no—
1616C2×C8—3161no—
1617C2×C8—3161no—
1618C2×C8—3161no—
1619C2×C8—791no—
1620C2×C8—791no—
1621C2×C8—791no—
1622C2×C8—791no—
1623C2×C8C23×D7911yescharacteristic
1624C2×C8C23×D7911yescharacteristic
1625C2×C8C23×D7911yescharacteristic
1626C2×C8C23×D7911yescharacteristic
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—21no—
1630C4⋊C4—791no—
1631C4⋊C4—791no—
1632C4⋊C4—791no—
1633C4⋊C4—791no—
1634C4⋊C4—791no—
1635C4⋊C4—791no—
1636C4⋊C4—791no—
1637C4⋊C4—1581no—
1638C4⋊C4—1581no—
1639C4⋊C4—1581no—
1640C4⋊C4—1581no—
1641C4⋊C4—1581no—
1642C4⋊C4—1581no—
1643C4⋊C4—1581no—
1644C4⋊C4—1581no—
1645C4⋊C4—1581no—
1646C4⋊C4—1581no—
1647C4⋊C4—1581no—
1648C4⋊C4—1581no—
1649C4⋊C4—1581no—
1650C4⋊C4—1581no—
1651C4⋊C4—1581no—
1652C4⋊C4—1581no—
1653C4⋊C4D4×D7911yescharacteristic
1654C4⋊C4C23×D7911yescharacteristic
1655C4⋊C4C23×D7911yescharacteristic
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—791no—
1666C22⋊C4—791no—
1667C22⋊C4—791no—
1668C22⋊C4—791no—
1669C22⋊C4—791no—
1670C22⋊C4—791no—
1671C22⋊C4—1581no—
1672C22⋊C4—1581no—
1673C22⋊C4—1581no—
1674C22⋊C4—1581no—
1675C22⋊C4—1581no—
1676C22⋊C4—1581no—
1677C22⋊C4—1581no—
1678C22⋊C4—1581no—
1679C22⋊C4—1581no—
1680C22⋊C4—1581no—
1681C22⋊C4—1581no—
1682C22⋊C4—1581no—
1683C22⋊C4—1581no—
1684C22⋊C4—1581no—
1685C22⋊C4—1581no—
1686C22⋊C4—1581no—
1687C22⋊C4—1581no—
1688C22⋊C4—1581no—
1689C22⋊C4—1581no—
1690C22⋊C4—1581no—
1691C22⋊C4—1581no—
1692C22⋊C4—1581no—
1693C22⋊C4—1581no—
1694C22⋊C4—1581no—
1695C22⋊C4—1581no—
1696C22⋊C4—1581no—
1697C22⋊C4—1581no—
1698C22⋊C4—1581no—
1699C22⋊C4—1581no—
1700C22⋊C4—1581no—
1701C22⋊C4—1581no—
1702C22⋊C4D4×D7911yescharacteristic
1703C22⋊C4D4×D7911yescharacteristic
1704C42—21no—
1705C42—791no—
1706C42—791no—
1707C42—791no—
1708C42—1581no—
1709C42—1581no—
1710C42—1581no—
1711C42C23×D7911yescharacteristic
1712C23—21no—
1713C23—21no—
1714C23—21no—
1715C23—42no—
1716C23—42no—
1717C23—81no—
1718C23—3161no—
1719C23—3161no—
1720C23—3162no—
1721C23—3162no—
1722C23—3161no—
1723C23—3161no—
1724C23—3162no—
1725C23—3162no—
1726C23—3162no—
1727C23—3162no—
1728C23—3162no—
1729C23—3162no—
1730C23—3162no—
1731C23—3162no—
1732C23—3162no—
1733C23—3162no—
1734C23—794no—
1735C23—791no—
1736C23—791no—
1737C23—791no—
1738C23—6321no—
1739C23—6321no—
1740C23—6321no—
1741C23—6321no—
1742C23—6321no—
1743C23—63216no—
1744C23—1584no—
1745C23—1582no—
1746C23—1581no—
1747C23—1581no—
1748C23—1581no—
1749C23C2×D4×D7911yescharacteristic
1750C23C2×D4×D7911yescharacteristic
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—21no—
1755Q8—21no—
1756Q8—21no—
1757Q8—81no—
1758Q8—3162no—
1759Q8—1581no—
1760Q8—1581no—
1761D4—22no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—42no—
1768D4—42no—
1769D4—42no—
1770D4—81no—
1771D4—81no—
1772D4—3162no—
1773D4—3162no—
1774D4—3162no—
1775D4—3162no—
1776D4—3162no—
1777D4—3162no—
1778D4—3162no—
1779D4—3162no—
1780D4—3162no—
1781D4—3162no—
1782D4—792no—
1783D4—6321no—
1784D4—6321no—
1785D4—6321no—
1786D4—6321no—
1787D4—6321no—
1788D4—6321no—
1789D4—6321no—
1790D4—1582no—
1791D4—1582no—
1792D4—1584no—
1793D4—1582no—
1794D4—1581no—
1795D4—1581no—
1796D4—1581no—
1797D4—1581no—
1798D4—1581no—
1799D4#1457920612yes—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—42no—
1810C2×C4—81no—
1811C2×C4—81no—
1812C2×C4—81no—
1813C2×C4—3162no—
1814C2×C4—3161no—
1815C2×C4—3161no—
1816C2×C4—3161no—
1817C2×C4—3161no—
1818C2×C4—3161no—
1819C2×C4—3162no—
1820C2×C4—3162no—
1821C2×C4—3162no—
1822C2×C4—3162no—
1823C2×C4—3162no—
1824C2×C4—3161no—
1825C2×C4—3161no—
1826C2×C4—791no—
1827C2×C4—791no—
1828C2×C4—791no—
1829C2×C4—791no—
1830C2×C4—791no—
1831C2×C4—6321no—
1832C2×C4—6321no—
1833C2×C4—6321no—
1834C2×C4—6321no—
1835C2×C4—6321no—
1836C2×C4—6321no—
1837C2×C4—6321no—
1838C2×C4—1582no—
1839C2×C4—1581no—
1840C2×C4—1581no—
1841C2×C4—1581no—
1842C2×C4—1581no—
1843C2×C4—1581no—
1844C2×C4—1581no—
1845C2×C4—1581no—
1846C2×C4—1581no—
1847C2×C4—1581no—
1848C2×C4—1581no—
1849C2×C4—1581no—
1850C2×C4C2×D4×D7911yescharacteristic
1851C2×C4C2×D4×D7911yescharacteristic
1852C2×C4C2×D4×D7911yescharacteristic
1853C2×C4C2×D4×D7911yescharacteristic
1854C2×C4C24×D7911yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—1581no—
1860C8—1581no—
1861C8—1581no—
1862C8—1581no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—22no—
1867C22—21no—
1868C22—21no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—84no—
1878C22—3164no—
1879C22—3168no—
1880C22—3161no—
1881C22—3161no—
1882C22—3161no—
1883C22—3161no—
1884C22—3161no—
1885C22—3161no—
1886C22—3161no—
1887C22—3161no—
1888C22—792no—
1889C22—792no—
1890C22—6324no—
1891C22—6322no—
1892C22—6324no—
1893C22—6324no—
1894C22—6324no—
1895C22—1582no—
1896C22—1581no—
1897C22—1581no—
1898C22—1581no—
1899C22—1581no—
1900C22—1581no—
1901C22—1581no—
1902C22—1581no—
1903C22—12642no—
1904C22#135×D7912yes—
1905C22C22×D4×D7911yescharacteristic
1906C4—21no—
1907C4—21no—
1908C4—21no—
1909C4—21no—
1910C4—41no—
1911C4—41no—
1912C4—41no—
1913C4—41no—
1914C4—41no—
1915C4—3161no—
1916C4—3161no—
1917C4—3161no—
1918C4—3161no—
1919C4—3161no—
1920C4—1581no—
1921C4—1581no—
1922C4—1581no—
1923C4—1581no—
1924C4—1581no—
1925C4H(5,𝔽2)×D7911yescharacteristic
1926C4C2×#1457920611yescharacteristic
1927C2—22no—
1928C2—41no—
1929C2—42no—
1930C2—81no—
1931C2—81no—
1932C2—3162no—
1933C2—3161no—
1934C2—6321no—
1935C2—6321no—
1936C2—1582no—
1937C2—1582no—
1938C2#2377702811yescharacteristic
1939C2C2×#135×D7911yescharacteristic
1940C2#2377817811yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3282C2
socleC22×C79C23×D4
hypercenter#3282D79
hypocenterC79#61561
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3282

Complements

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

NH ≅ G/Ntype
1. #23777236C2semidirect
2. #546×D79C2semidirect
3. #23775256C2semidirect
4. #23775254C2semidirect
5. #23775252C2semidirect
6. #23775250C2semidirect
7. #23775242C2semidirect
8. #23775240C2semidirect
9. #23775230C2semidirect
10. #23775228C2semidirect
11. #23775108C2semidirect
12. #23775107C2semidirect
13. #23775100C2semidirect
14. #23775084C2semidirect
15. #23775083C2semidirect
16. #23775080C2semidirect
17. #23775079C2semidirect
18. #23774369C2semidirect
19. #23774360C2semidirect
20. #23774173C2semidirect
21. #23774166C2semidirect
22. #23774163C2semidirect
23. #23774152C2semidirect
24. #23773451C2semidirect
25. #23773446C2semidirect
26. #23772621C2semidirect
27. #23772614C2semidirect
28. C2×#19098712C2semidirect
29. #447×D79C2semidirect
30. #23772421C2semidirect
31. C79×#3282C2semidirect
32. C2×#41×D79C22semidirect
34. C2×#14579184C22semidirect
35. C2×#14579182C22semidirect
36. C2×#14579181C22semidirect
37. C22×#11929611C22semidirect
38. C2×D8×D79C22semidirect
39. C2×D8×D79C22semidirect
40. #19099265C22semidirect
42. #19099259C22semidirect
44. #19099254C22semidirect
45. #19099247C22semidirect
48. #19099224C22semidirect
50. #19099209C22semidirect
52. #19099207C22semidirect
54. #19099206C22semidirect
56. #19099204C22semidirect
60. #19099201C22semidirect
65. #19099100C22semidirect
66. #19099092C22semidirect
67. #124×D79C22semidirect
68. #19099076C22semidirect
69. #19099070C22semidirect
75. #121×D79C22semidirect
79. C4×D4×D79C22semidirect
81. #19098948C22semidirect
82. #19098945C22semidirect
83. #19098944C22semidirect
84. #19098919C22semidirect
85. #19098918C22semidirect
86. #19098917C22semidirect
87. #19098916C22semidirect
88. #19098899C22semidirect
89. #19098897C22semidirect
90. #19098897C22semidirect
91. #19098896C22semidirect
92. #19098895C22semidirect
93. #19098892C22semidirect
94. #19098889C22semidirect
95. #19098888C22semidirect
96. #19098885C22semidirect
97. #19098884C22semidirect
98. #19098883C22semidirect
99. #19098880C22semidirect
100. #19098864C22semidirect
101. #19098863C22semidirect
102. #19098862C22semidirect
103. #19098861C22semidirect
104. #19098803C22semidirect
105. #19098803C22semidirect
106. #19098801C22semidirect
107. #19098801C22semidirect
108. #19098799C22semidirect
109. #19098798C22semidirect
110. #19098797C22semidirect
111. #19098796C22semidirect
112. #19098795C22semidirect
113. #19098794C22semidirect
114. #19098794C22semidirect
115. #19098792C22semidirect
116. #19098790C22semidirect
117. #19098789C22semidirect
118. #19098787C22semidirect
119. #19098785C22semidirect
120. #19098783C22semidirect
121. #19098781C22semidirect
122. #19098780C22semidirect
123. #19098780C22semidirect
124. #19098779C22semidirect
125. #19098776C22semidirect
126. #19098775C22semidirect
127. #19098775C22semidirect
128. #19098724C22semidirect
129. #19098723C22semidirect
130. #19098722C22semidirect
131. #19098719C22semidirect
132. #19098717C22semidirect
133. #19098717C22semidirect
134. #19098715C22semidirect
135. #19098712C22semidirect
136. #19098712C22semidirect
137. #19098712C22semidirect
138. #19098712C22semidirect
139. #19098712C22semidirect
140. #19098712C22semidirect
141. #19098712C22semidirect
142. #19098712C22semidirect
143. #19098712C22semidirect
144. #19098711C22semidirect
145. #19098710C22semidirect
146. #19098708C22semidirect
147. #19098708C22semidirect
148. #19098707C22semidirect
149. #19098707C22semidirect
150. #19098705C22semidirect
151. #19098703C22semidirect
152. #19098700C22semidirect
153. #19098699C22semidirect
156. #19098697C22semidirect
157. #19098696C22semidirect
160. SD16×Dic79C22semidirect
161. C4×#11929611C22semidirect
162. #19098648C22semidirect
163. C4×D632C22semidirect
164. D8×Dic79C22semidirect
165. C4×#11929609C22semidirect
166. #19098643C22semidirect
167. C8×D316C22semidirect
168. D4×C79⋊C8C22semidirect
169. #19098628C22semidirect
170. C8×C22⋊D79C22semidirect
171. C8×C22⋊D79C22semidirect
172. (C22⋊D79)⋊C8C22semidirect
173. (C22⋊D79)⋊C8C22semidirect
174. #19098615C22semidirect
175. #19098614C22semidirect
176. #19098560C22semidirect
177. #19098559C22semidirect
178. #19098558C22semidirect
179. #19098556C22semidirect
180. C2×#14579083C22semidirect
181. C2×#14579082C22semidirect
182. #102×D79C22semidirect
183. #102×D79C22semidirect
185. C2×(C2×D79)⋊C8C22semidirect
187. C22⋊C8×D79C22semidirect
188. C2×#135×C79C22semidirect
189. C22×SD16×C79C22semidirect
190. #548×C79C22semidirect
191. #546×C79C22semidirect
192. #495×C79C22semidirect
193. #465×C79C22semidirect
194. #465×C79C22semidirect
195. #464×C79C22semidirect
196. #463×C79C22semidirect
197. #452×C79C22semidirect
198. #451×C79C22semidirect
199. #449×C79C22semidirect
200. #447×C79C22semidirect
201. C4×SD16×C79C22semidirect
202. C8×D4×C79C22semidirect
205. C2×#11929625C23semidirect
235. C2×#11929614C23semidirect
236. C2×#11929614C23semidirect
237. C2×#11929613C23semidirect
238. C2×#11929612C23semidirect
244. C2×#11929611C23semidirect
254. C22×C79⋊C8C23semidirect
257. C2×C8×D79C23semidirect
258. C2×C8×D79C23semidirect
265. #14579153C23semidirect
266. #14579152C23semidirect
271. #14579150C23semidirect
305. #14579137C23semidirect
313. #14579135C23semidirect
329. #14579132C23semidirect
341. Q8×Dic79C23semidirect
345. C4×D316C23semidirect
349. D4×Dic79C23semidirect
365. #14579120C23semidirect
367. #14579119C23semidirect
396. #14579095C23semidirect
397. #14579095C23semidirect
398. #14579094C23semidirect
399. #14579094C23semidirect
400. #14579093C23semidirect
401. #14579092C23semidirect
402. #14579092C23semidirect
403. C4⋊(C79⋊C8)C23semidirect
404. Dic79⋊C8C23semidirect
405. Dic79⋊C8C23semidirect
406. #14579086C23semidirect
407. #14579086C23semidirect
408. #14579086C23semidirect
409. #14579085C23semidirect
410. #14579085C23semidirect
411. #14579085C23semidirect
412. #14579085C23semidirect
413. #14579085C23semidirect
414. #14579084C23semidirect
421. #14579083C23semidirect
428. #14579082C23semidirect
431. #14579081C23semidirect
433. C22⋊(C79⋊C8)C23semidirect
440. (C2×D79)⋊C8C23semidirect
441. (C2×D79)⋊C8C23semidirect
442. C4×C79⋊C8C23semidirect
443. C8×Dic79C23semidirect
444. C8×Dic79C23semidirect
446. C2×#41×C79C23semidirect
450. C2×Q16×C79C23semidirect
451. C2×Q16×C79C23semidirect
457. C2×SD16×C79C23semidirect
461. C22×C8×C79C23semidirect
464. #124×C79C23semidirect
468. C22⋊Q8×C79C23semidirect
474. C4×Q8×C79C23semidirect
479. #106×C79C23semidirect
480. C4⋊C8×C79C23semidirect
481. #103×C79C23semidirect
482. #103×C79C23semidirect
483. #103×C79C23semidirect
486. #102×C79C23semidirect
488. C22⋊C8×C79C23semidirect
489. C4×C8×C79C23semidirect
776. C22×D79#135semidirect
984. #3282D79semidirect
1002. C79#61561semidirect
1008. C2×#135C2×D79semidirect
1010. C22×SD16C2×D79semidirect
1022. #548C2×D79semidirect
1036. #546C2×D79semidirect
1059. #495C2×D79semidirect
1094. #465C2×D79semidirect
1095. #465C2×D79semidirect
1099. #464C2×D79semidirect
1107. #463C2×D79semidirect
1111. #452C2×D79semidirect
1115. #451C2×D79semidirect
1133. #449C2×D79semidirect
1143. #447C2×D79semidirect
1147. C4×SD16C2×D79semidirect
1159. C8×D4C2×D79semidirect
1184. C2×#41C22×D79semidirect
1213. C2×Q16C22×D79semidirect
1214. C2×Q16C22×D79semidirect
1228. C2×SD16C22×D79semidirect
1246. C22×C8C22×D79semidirect
1266. #124C22×D79semidirect
1300. C22⋊Q8C22×D79semidirect
1342. C4×Q8C22×D79semidirect
1408. #106C22×D79semidirect
1412. C4⋊C8C22×D79semidirect
1422. #103C22×D79semidirect
1423. #103C22×D79semidirect
1424. #103C22×D79semidirect
1444. #102C22×D79semidirect
1456. C22⋊C8C22×D79semidirect
1460. C4×C8C22×D79semidirect

Maximal subgroups

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

subgroupindex
#237772362
#546×D792
#237752562
#237752542
#237752522
#237752502
#237752422
#237752402
#237752302
#237752282
#237751082
#237751072
#237751002
#237750842
#237750832
#237750802
#237750792
#237743692
#237743602
#237741732
#237741662
#237741632
#237741522
#237734512
#237734462
#237726212
#237726142
C2×#190987122
#447×D792
#237724212
C79×#32822
#6156179