Finite Group Databasebeta

← #35197198

Subgroups — #35197198

Order 20224.

7148 conjugacy classes of subgroups.

The subgroup lattice has 1352 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777970C214yesmaximal, complemented
2#23777931C214yesmaximal, complemented
3#23777873C214yesmaximal, complemented
4#23777811C212yesmaximal, complemented
5#23777798C212yesmaximal, complemented
6#23777791C214yesmaximal, complemented
7#23777627C214yesmaximal, complemented
8#23777483C214yesmaximal, complemented
9#23777451C214yesmaximal, complemented
10#23777311C214yesmaximal, complemented
11#23777311C212yesmaximal, complemented
12#23777276C212yesmaximal, complemented
13#23777267C212yesmaximal, complemented
14#23777249C212yesmaximal, complemented
15#23777219C212yesmaximal, complemented
16#23777201C212yesmaximal, complemented
17#23777185C212yesmaximal, complemented
18#23777166C212yesmaximal, complemented
19#23777137C214yesmaximal, complemented
20#23777072C214yesmaximal, complemented
21C2×#19099120C211yesmaximal, characteristic, complemented
22C2×#19099113C211yesmaximal, characteristic, complemented
23C79×#3444C211yesmaximal, characteristic, complemented
24C2×#14579208C2214yescomplemented
25C22×#11929624C2212yes—
26#19099317C2218yescomplemented
27#19099310C22116yescomplemented
28#19099307C2218yescomplemented
29#19099298C2214yescomplemented
30#19099298C2214yescomplemented
31#19099295C2218yescomplemented
32Q8×Dic158C2214yescomplemented
33#19099292C2214yescomplemented
34#19099287C2214yescomplemented
35#19099286C2214yescomplemented
36#19099286C2218yescomplemented
37#19099278C2218yescomplemented
38#19099278C2214yescomplemented
39#19099274C2214yescomplemented
40#19099273C2218yescomplemented
41#19099273C2214yescomplemented
42#19099270C2218yes—
43#19099270C2214yescomplemented
44#19099269C2218yescomplemented
45#19099259C2218yescomplemented
46#19099259C2218yescomplemented
47#19099259C2218yescomplemented
48#19099251C2218yescomplemented
49#19099236C22116yes—
50#19099234C2214yescomplemented
51#19099234C2214yescomplemented
52#19099233C2214yescomplemented
53Q8×D316C2214yescomplemented
54Q8×D316C2214yescomplemented
55D4×Dic158C2218yes—
56D4×Dic158C2214yescomplemented
57#19099228C2214yescomplemented
58#19099222C2218yescomplemented
59#19099222C2218yescomplemented
60#19099222C2218yescomplemented
61#19099221C2218yescomplemented
62#19099218C2214yescomplemented
63#19099218C2218yescomplemented
64#19099217C2214yescomplemented
65#19099217C2218yescomplemented
66#19099217C2218yescomplemented
67#19099217C2214yescomplemented
68#19099211C22116yescomplemented
69#19099209C2218yes—
70#19099209C2218yes—
71#19099200C22116yes—
72#19099191C2214yes—
73#19099191C2218yescomplemented
74#19099188C2218yes—
75#19099186C2218yescomplemented
76#19099184C2218yescomplemented
77#19099184C2218yescomplemented
78#19099184C2218yescomplemented
79#19099179C22116yescomplemented
80#19099168C2218yescomplemented
81#19099166C2218yescomplemented
82#19099162C2218yescomplemented
83#19099154C22116yescomplemented
84#19099150C2218yes—
85#19099142C2218yescomplemented
86#19099141C2218yescomplemented
87#19099141C2214yescomplemented
88#19099140C2218yescomplemented
89#19099139C2214yescomplemented
90#19099139C2218yescomplemented
91#19099136C2218yescomplemented
92#19099127C2214yes—
93#19099120C2212yes—
94#19099120C2212yes—
95#19099120C2212yes—
96#19099120C2212yes—
97#19099120C2212yescomplemented
98#19099120C2212yescomplemented
99#19099120C2214yescomplemented
100#19099120C2212yescomplemented
101#19099120C2212yescomplemented
102#19099113C2212yes—
103#19099113C2212yes—
104#19099113C2212yes—
105#19099113C2212yes—
106#19099113C2212yes—
107#19099113C2212yes—
108#19099113C2212yes—
109#19099113C2212yes—
110#19099113C2214yescomplemented
111#19099113C2214yescomplemented
112#19099108C2218yescomplemented
113C2×#14579161C2211yescharacteristic
114C2×#14579161C2211yescharacteristic, complemented
115C2×#14579161C2214yescomplemented
116C2×#14579161C2211yescharacteristic, complemented
117C2×#14579158C2211yescharacteristic
118#19099099C2218yescomplemented
119C2×#14579153C2212yescomplemented
120C2×#14579149C2212yes—
121#19099073C2218yes—
122C2×#14579140C2212yes—
123C2×#14579140C2212yes—
124C22⋊Q8×D79C2218yes—
125C2×#14579135C2212yes—
126C2×#14579135C2212yes—
127#19099046C2214yes—
128#19099043C2214yescomplemented
129#19099043C2218yescomplemented
130#19099037C2214yes—
131C2×C4×Dic158C2212yescomplemented
132C2×C4×Dic158C2212yescomplemented
133C2×C4×D316C2212yes—
134C2×C4×D316C2212yes—
135C2×#14579120C2212yes—
136#533×C79C2211yescharacteristic
137#533×C79C2211yescharacteristic, complemented
138#533×C79C2211yescharacteristic, complemented
139#532×C79C2211yescharacteristic
140#532×C79C2211yescharacteristic, complemented
141#532×C79C2211yescharacteristic, complemented
142#529×C79C2212yes—
143#529×C79C2212yes—
144#529×C79C2212yescomplemented
145#529×C79C2212yescomplemented
146#529×C79C2212yescomplemented
147#529×C79C2212yescomplemented
148#525×C79C2212yes—
149#525×C79C2212yes—
150#525×C79C2212yes—
151C4×#41×C79C2212yes—
152C4×#41×C79C2212yescomplemented
153C4×#41×C79C2212yescomplemented
154C22×C42×C79C2211yescharacteristic
155#14579208—416no—
156C2×#11929624—48no—
157C2×#11929624C2314yes—
158C2×#11929624C2314yes—
159C2×#11929624C2318yes—
160C2×#11929624C2318yes—
161C2×#11929624C2314yes—
162C2×#11929624C2314yes—
163C2×#11929623C23116yes—
164C2×#11929623C2318yes—
165C22×Dic158C2312yes—
166C22×Dic158C2318yes—
167C22×Dic158C2312yes—
168C22×Dic158C2312yes—
169C2×Q8×D79C2318yes—
170C22×D316C2312yes—
171C22×D316C2312yes—
172C22×D316C2312yes—
173C22×C22⋊D79C2314yes—
174C22×C4×D79C2314yes—
175#14579161C2312yes—
176#14579161C2318yes—
177#14579161C2312yes—
178#14579161C2318yes—
179#14579161C2318yes—
180#14579161C2312yes—
181#14579161C2312yes—
182#14579161C2312yes—
183#14579161C2312yes—
184#14579161C2312yes—
185#14579161C2312yes—
186#14579161C2312yes—
187#14579161C2312yes—
188#14579161C2312yes—
189#14579161C2312yes—
190#14579160C23116yes—
191#14579160C2318yes—
192#14579158C2312yes—
193#14579158C2312yes—
194#14579158C2312yes—
195#14579158C2312yes—
196#14579157C2318yes—
197#14579156C23116yes—
198#14579156C23116yes—
199#14579156C23116yes—
200#14579153C2314yes—
201#14579153C2314yes—
202#14579153C2318yes—
203#14579153C2314yes—
204#14579153C2314yes—
205#14579152C23116yes—
206#14579152C2318yes—
207#14579150C2318yes—
208#14579149C2314yes—
209#14579149C2318yes—
210#14579149C2314yes—
211#14579149C2318yes—
212#14579149C2314yes—
213#14579149C2314yes—
214#14579147C23116yes—
215#14579147C23116yes—
216#14579147C23116yes—
217#14579146C23116yes—
218#14579146C23116yes—
219#14579145C23116yes—
220#14579145C23116yes—
221#14579145C23116yes—
222#14579143C23116yes—
223#14579143C23116yes—
224#14579143C23116yes—
225#14579141C2318yes—
226#14579141C2318yes—
227#14579141C23116yes—
228#14579141C23116yes—
229#14579140C2314yes—
230#14579140C2314yes—
231#14579140C2318yes—
232#14579140C2318yes—
233#14579140C2314yes—
234#14579140C2314yes—
235#14579140C2314yes—
236#14579140C2314yes—
237#14579140C2314yes—
238#14579140C2314yes—
239#14579139C23116yes—
240#14579139C23116yes—
241#14579139C23116yes—
242#14579138C23116yes—
243#14579138C23116yes—
244#14579138C23116yes—
245#14579137C2318yes—
246#14579137C23116yes—
247#14579135C2314yes—
248#14579135C2314yes—
249#14579135C2318yes—
250#14579135C2318yes—
251#14579135C2314yes—
252#14579135C2318yes—
253#14579135C2318yes—
254#14579135C2314yes—
255#14579135C2314yes—
256#14579135C2314yes—
257#14579135C2314yes—
258#14579135C2314yes—
259#14579134C23116yes—
260#14579134C23116yes—
261#14579133C23116yes—
262#14579133C23116yes—
263#14579133C23116yes—
264#14579132C23116yes—
265#14579132C2318yes—
266#14579129C23116yes—
267Q8×Dic79C2318yes—
268C4×Dic158C2314yes—
269C4×Dic158C2314yes—
270C4×Dic158C2318yes—
271C4×Dic158C2318yes—
272C4×Dic158C2314yes—
273C4×Dic158C2314yes—
274C4×Dic158C2314yes—
275C4×Dic158C2314yes—
276C4×Dic158C2314yes—
277C4×Dic158C2314yes—
278C4×D316C2314yes—
279C4×D316C2318yes—
280C4×D316C2318yes—
281C4×D316C2314yes—
282C4×D316C2318yes—
283C4×D316C2318yes—
284C4×D316C2314yes—
285C4×D316C2314yes—
286C4×D316C2314yes—
287C4×D316C2314yes—
288C4×D316C2314yes—
289C4×D316C2314yes—
290D4×Dic79C23116yes—
291D4×Dic79C2318yes—
292#14579123C2318yes—
293#14579123C2318yes—
294(C22⋊D79)⋊C4C23116yes—
295(C22⋊D79)⋊C4C23116yes—
296(C22⋊D79)⋊C4C23116yes—
297#14579120C2314yes—
298#14579120C2314yes—
299#14579120C2318yes—
300#14579120C2314yes—
301#14579120C2314yes—
302#14579119C2318yes—
303#14579119C23116yes—
304C2×C4⋊Dic79C2312yes—
305C2×C4⋊Dic79C2318yes—
306C2×C4⋊Dic79C2312yes—
307C2×C4⋊Dic79C2318yes—
308C2×C4⋊Dic79C2312yes—
309C2×C4⋊Dic79C2312yes—
310C2×C4⋊Dic79C2312yes—
311C2×C4⋊Dic79C2312yes—
312C2×Dic79⋊C4C2314yes—
313C2×Dic79⋊C4C2314yes—
314C4⋊C4×D79C2318yes—
315C4⋊C4×D79C23116yes—
316C2×C22⋊Dic79C2314yes—
317C2×(C2×D79)⋊C4C2314yes—
318C2×(C2×D79)⋊C4C2314yes—
319C22⋊C4×D79C23116yes—
320C2×C4×Dic79C2314yes—
321C2×#41×C79C2312yes—
322C2×#41×C79C2312yes—
323C2×#41×C79C2312yes—
324C23×C4×C79C2311yescharacteristic
325C23×C4×C79C2311yescharacteristic
326C23×C4×C79C2311yescharacteristic
327C4⋊Q8×C79C2311yescharacteristic
328C4⋊Q8×C79C2311yescharacteristic
329C4⋊Q8×C79C2311yescharacteristic
330#127×C79C2311yescharacteristic
331#126×C79C2314yes—
332#126×C79C2314yes—
333#125×C79C2312yes—
334#125×C79C2312yes—
335#125×C79C2312yes—
336#124×C79C2312yes—
337#124×C79C2312yes—
338#124×C79C2312yes—
339#123×C79C2314yes—
340#123×C79C2314yes—
341#123×C79C2314yes—
342C22⋊Q8×C79C2312yes—
343C22⋊Q8×C79C2312yes—
344C22⋊Q8×C79C2312yes—
345C22⋊Q8×C79C2312yes—
346C22⋊Q8×C79C2312yes—
347C22⋊Q8×C79C2312yes—
348#121×C79C2312yes—
349#121×C79C2312yes—
350#121×C79C2312yes—
351#121×C79C2312yes—
352#121×C79C2312yes—
353#121×C79C2312yes—
354#120×C79C2314yes—
355C4×Q8×C79C2312yes—
356C4×Q8×C79C2312yes—
357C4×Q8×C79C2312yes—
358C4×Q8×C79C2312yes—
359C4×Q8×C79C2312yes—
360C4×Q8×C79C2312yes—
361C4×D4×C79C2314yes—
362C4×D4×C79C2314yes—
363C4×D4×C79C2312yes—
364C4×D4×C79C2314yes—
365C4×D4×C79C2314yes—
366C4×D4×C79C2312yes—
367C4×D4×C79C2314yes—
368C4×D4×C79C2312yes—
369C4×D4×C79C2312yes—
370C4×D4×C79C2312yes—
371C4×D4×C79C2314yes—
372C4×D4×C79C2312yes—
373#117×C79C2314yes—
374#117×C79C2312yes—
375#117×C79C2314yes—
376#117×C79C2312yes—
377#117×C79C2314yes—
378#117×C79C2312yes—
379C2×C42×C79C2311yescharacteristic
380C2×C42×C79C2311yescharacteristic
381C2×C42×C79C2311yescharacteristic
382C2×C42×C79C2311yescharacteristic
383C2×C42×C79C2311yescharacteristic
384C2×C42×C79C2311yescharacteristic
385C2×C42×C79C2311yescharacteristic
386C2×C42×C79C2311yescharacteristic
387C2×C42×C79C2311yescharacteristic
388C2×C42×C79C2311yescharacteristic
389C2×C42×C79C2311yescharacteristic
390C2×C42×C79C2311yescharacteristic
391C2×C42×C79C2314yes—
392C23×D79C2414yes—
393#11929624—216no—
394#11929624—48no—
395#11929624—48no—
396#11929624—416no—
397#11929624—416no—
398#11929624—48no—
399#11929623—432no—
400#11929623—416no—
401C2×Dic158—28no—
402C2×Dic158—44no—
403C2×Dic158—44no—
404C2×Dic158—416no—
405C2×Dic158C2414yes—
406C2×Dic158C2414yes—
407C2×Dic158C2414yes—
408C2×Dic158C2414yes—
409C2×Dic158C24116yes—
410C2×Dic158C2414yes—
411C2×Dic158C2414yes—
412Q8×D79—416no—
413C2×D316—28no—
414C2×D316—44no—
415C2×D316—44no—
416C2×D316C2414yes—
417C2×D316C2414yes—
418C2×D316C2414yes—
419C2×D316C2414yes—
420C2×D316C2414yes—
421C2×D316C2414yes—
422C2×C22⋊D79—48no—
423C2×C22⋊D79C2418yes—
424C2×C22⋊D79C24116yes—
425C2×C22⋊D79C2418yes—
426C2×C22⋊D79C24116yes—
427C22×Dic79C2414yes—
428C22×Dic79C24116yes—
429C22×Dic79C2414yes—
430C22×Dic79C2414yes—
431C2×C4×D79—48no—
432C2×C4×D79C2418yes—
433C2×C4×D79C24116yes—
434C2×C4×D79C2418yes—
435C2×C4×D79C24116yes—
436C4⋊Dic79C2414yes—
437C4⋊Dic79C24116yes—
438C4⋊Dic79C2414yes—
439C4⋊Dic79C2414yes—
440C4⋊Dic79C2414yes—
441C4⋊Dic79C2414yes—
442C4⋊Dic79C2414yes—
443C4⋊Dic79C2414yes—
444C4⋊Dic79C2414yes—
445C4⋊Dic79C2414yes—
446C4⋊Dic79C24116yes—
447C4⋊Dic79C2414yes—
448C4⋊Dic79C2414yes—
449C4⋊Dic79C2414yes—
450Dic79⋊C4C2418yes—
451Dic79⋊C4C24116yes—
452Dic79⋊C4C24116yes—
453Dic79⋊C4C2418yes—
454Dic79⋊C4C2418yes—
455Dic79⋊C4C2418yes—
456C22⋊Dic79C2418yes—
457C22⋊Dic79C2418yes—
458C22⋊Dic79C24116yes—
459(C2×D79)⋊C4C24116yes—
460(C2×D79)⋊C4C24116yes—
461(C2×D79)⋊C4C2418yes—
462(C2×D79)⋊C4C2418yes—
463(C2×D79)⋊C4C2418yes—
464(C2×D79)⋊C4C2418yes—
465(C2×D79)⋊C4C24116yes—
466(C2×D79)⋊C4C24116yes—
467C4×Dic79C2418yes—
468C4×Dic79C2418yes—
469C4×Dic79C24116yes—
470C24×C79C2411yescharacteristic
471#41×C79—28no—
472#41×C79—28no—
473#41×C79—44no—
474C2×Q8×C79C2412yes—
475C2×Q8×C79C2412yes—
476C2×Q8×C79C2412yes—
477C2×D4×C79C2414yes—
478C2×D4×C79C2412yes—
479C2×D4×C79C2414yes—
480C2×D4×C79C2412yes—
481C2×D4×C79C2414yes—
482C2×D4×C79C2412yes—
483C22×C4×C79—24no—
484C22×C4×C79—24no—
485C22×C4×C79—42no—
486C22×C4×C79C2414yes—
487C22×C4×C79C2411yescharacteristic
488C22×C4×C79C2411yescharacteristic
489C22×C4×C79C2411yescharacteristic
490C22×C4×C79C2411yescharacteristic
491C22×C4×C79C2411yescharacteristic
492C22×C4×C79C2414yes—
493C22×C4×C79C2411yescharacteristic
494C22×C4×C79C2411yescharacteristic
495C22×C4×C79C2411yescharacteristic
496C22×C4×C79C2411yescharacteristic
497C22×C4×C79C2411yescharacteristic
498C22×C4×C79C2411yescharacteristic
499C22×C4×C79C2411yescharacteristic
500C22×C4×C79C2411yescharacteristic
501C22×C4×C79C2414yes—
502C22×C4×C79C2411yescharacteristic
503C22×C4×C79C2411yescharacteristic
504C22×C4×C79C2411yescharacteristic
505C22×C4×C79C2411yescharacteristic
506C22×C4×C79C2411yescharacteristic
507C4⋊C4×C79C2412yes—
508C4⋊C4×C79C2412yes—
509C4⋊C4×C79C2412yes—
510C4⋊C4×C79C2412yes—
511C4⋊C4×C79C2412yes—
512C4⋊C4×C79C2412yes—
513C4⋊C4×C79C2414yes—
514C4⋊C4×C79C2414yes—
515C4⋊C4×C79C2414yes—
516C4⋊C4×C79C2414yes—
517C4⋊C4×C79C2414yes—
518C4⋊C4×C79C2414yes—
519C22⋊C4×C79C2414yes—
520C22⋊C4×C79C2414yes—
521C22⋊C4×C79C2414yes—
522C22⋊C4×C79C2414yes—
523C22⋊C4×C79C2414yes—
524C22⋊C4×C79C2414yes—
525C22⋊C4×C79C2414yes—
526C22⋊C4×C79C2414yes—
527C22⋊C4×C79C2414yes—
528C42×C79C2411yescharacteristic
529C42×C79C2411yescharacteristic
530C42×C79C2411yescharacteristic
531C42×C79C2411yescharacteristic
532C42×C79C2411yescharacteristic
533C42×C79C2411yescharacteristic
534C42×C79C2411yescharacteristic
535C42×C79C2411yescharacteristic
536C42×C79C2411yescharacteristic
537C42×C79C2411yescharacteristic
538C42×C79C2411yescharacteristic
539C42×C79C2411yescharacteristic
540C42×C79C2411yescharacteristic
541C42×C79C2411yescharacteristic
542C42×C79C2411yescharacteristic
543C42×C79C2411yescharacteristic
544C42×C79C2414yes—
545C42×C79C2414yes—
546C42×C79C2414yes—
547C23×C79—22no—
548C23×C79—22no—
549C23×C79—41no—
550C23×C79C2511yescharacteristic
551C23×C79C2514yes—
552C23×C79C2511yescharacteristic
553C23×C79C2511yescharacteristic
554C22×D79—28no—
555C22×D79—44no—
556C22×D79—44no—
557C22×D79C2518yes—
558Q8×C79—24no—
559Q8×C79—24no—
560Q8×C79—42no—
561D4×C79—28no—
562D4×C79—28no—
563D4×C79—24no—
564D4×C79—24no—
565D4×C79—42no—
566D4×C79—44no—
567C2×C4×C79—22no—
568C2×C4×C79—22no—
569C2×C4×C79—22no—
570C2×C4×C79—22no—
571C2×C4×C79—28no—
572C2×C4×C79—22no—
573C2×C4×C79—22no—
574C2×C4×C79—22no—
575C2×C4×C79—22no—
576C2×C4×C79—22no—
577C2×C4×C79—22no—
578C2×C4×C79—28no—
579C2×C4×C79—22no—
580C2×C4×C79—22no—
581C2×C4×C79—28no—
582C2×C4×C79—22no—
583C2×C4×C79—41no—
584C2×C4×C79—41no—
585C2×C4×C79—41no—
586C2×C4×C79H(5,𝔽2)14yes—
587C2×C4×C792−1+414yescomplemented
588C2×C4×C79C2511yescharacteristic
589C2×C4×C79C2514yes—
590C2×C4×C79C2511yescharacteristic
591C2×C4×C79C2511yescharacteristic
592C2×C4×C79C2511yescharacteristic
593C2×C4×C79C2514yes—
594C2×C4×C79C2514yes—
595C2×C4×C79C2511yescharacteristic
596C2×C4×C79C2511yescharacteristic
597C2×C4×C79C2511yescharacteristic
598C2×C4×C79C2511yescharacteristic
599C2×C4×C79C2511yescharacteristic
600C2×C4×C79C2511yescharacteristic
601C2×C4×C79C2511yescharacteristic
602C2×C4×C79C2511yescharacteristic
603C22⋊D79—216no—
604C22⋊D79—48no—
605C22⋊D79—416no—
606C22⋊D79—416no—
607C2×Dic79—28no—
608C2×Dic79—44no—
609C2×Dic79—44no—
610C2×Dic79—416no—
611C2×Dic79C2518yes—
612C2×Dic79C2518yes—
613C2×Dic79C2518yes—
614D316—28no—
615D316—28no—
616D316—28no—
617D316—28no—
618D316—44no—
619D316—44no—
620C4×D79—216no—
621C4×D79—48no—
622C4×D79—416no—
623C4×D79—416no—
624Dic158—28no—
625Dic158—28no—
626Dic158—28no—
627Dic158—28no—
628Dic158—416no—
629Dic158—44no—
630Dic158—44no—
631C22×C79—21no—
632C22×C79—21no—
633C22×C79—21no—
634C22×C79—21no—
635C22×C79—21no—
636C22×C79—24no—
637C22×C79—21no—
638C22×C79—24no—
639C22×C79—24no—
640C22×C79—21no—
641C22×C79—44no—
642C22×C79C2×H(5,𝔽2)12yes—
643C22×C79C2×2−1+412yes—
644C22×C79C2611yescharacteristic
645C2×D79—28no—
646C2×D79—28no—
647C2×D79—28no—
648C2×D79—88no—
649C4×C79—21no—
650C4×C79—21no—
651C4×C79—24no—
652C4×C79—21no—
653C4×C79—21no—
654C4×C79—24no—
655C4×C79—21no—
656C4×C79—21no—
657C4×C79—21no—
658C4×C79—24no—
659C4×C79C2×H(5,𝔽2)12yes—
660C4×C79C2×H(5,𝔽2)12yes—
661C4×C79C2×2−1+412yes—
662C4×C79C2×2−1+412yes—
663C4×C79#58512yes—
664Dic79—28no—
665Dic79—28no—
666Dic79—28no—
667#62835—791nomaximal, Sylow
668C2×C79—22no—
669C2×C79—22no—
670C2×C79—44no—
671C2×C79—41no—
672C2×C79C22×H(5,𝔽2)11yescharacteristic
673C2×C79C22×2−1+411yescharacteristic
674C2×C79C2×#58511yescharacteristic
675D79—48no—
676#3561—794no—
677#3559—794no—
678#3554—794no—
679#3550—792no—
680#3548—792no—
681#3547—794no—
682#3536—794no—
683#3522—794no—
684#3520—794no—
685#3511—792no—
686#3511—794no—
687#3508—792no—
688#3507—792no—
689#3506—792no—
690#3503—792no—
691#3501—792no—
692#3499—792no—
693#3497—792no—
694#3494—794no—
695#3489—794no—
696#3444D7911yescharacteristic, complemented
697C2×#533—791no—
698C2×#532—791no—
699C79#6283511yescharacteristic, complemented, Sylow
700C2×2−1+4—794no—
701C22×#41—792no—
702#563—798no—
703#562—798no—
704#562—7916no—
705#559—798no—
706#559—794no—
707#559—794no—
708Q82—794no—
709#557—794no—
710#556—794no—
711#556—798no—
712#556—794no—
713#555—798no—
714#555—794no—
715#554—794no—
716#554—798no—
717#554—794no—
718#554—798no—
719#554—798no—
720#554—794no—
721#553—798no—
722#553—798no—
723#553—798no—
724#552—798no—
725#551—7916no—
726#550—794no—
727#550—794no—
728#550—794no—
729D4×Q8—794no—
730D4×Q8—794no—
731D4×Q8—794no—
732D4×Q8—798no—
733D4×Q8—794no—
734#548—798no—
735#548—798no—
736#548—798no—
737#548—798no—
738#547—7916no—
739#547—798no—
740#547—794no—
741#547—794no—
742#547—798no—
743#547—798no—
744#547—794no—
745#546—7916no—
746#546—798no—
747#546—798no—
748#544—794no—
749#544—798no—
750#543—798no—
751#542—7916no—
752#542—798no—
753#542—798no—
754#542—798no—
755#542—798no—
756#540—798no—
757#540—798no—
758#539—7916no—
759#539—798no—
760#538—798no—
761#537—794no—
762#537—798no—
763#537—798no—
764#537—798no—
765#536—798no—
766#536—794no—
767#536—798no—
768#535—794no—
769#533—792no—
770#533—792no—
771#533—792no—
772#533—792no—
773#533—792no—
774#533—792no—
775#533—792no—
776#533—792no—
777#533—794no—
778#533C2×D7911yescharacteristic
779#533C2×D7911yescharacteristic, complemented
780#533C2×D7911yescharacteristic, complemented
781#532—798no—
782#532—792no—
783#532—792no—
784#532—792no—
785#532—792no—
786#532—792no—
787#532—792no—
788#532—792no—
789#532—792no—
790#532—794no—
791#532—794no—
792#532C2×D7911yescharacteristic
793#532C2×D7911yescharacteristic, complemented
794#532C2×D7911yescharacteristic, complemented
795C2×C4⋊Q8—791no—
796C2×C4⋊Q8—791no—
797C2×C4⋊Q8—791no—
798C2×C4⋊Q8—794no—
799C2×#127—791no—
800#529—798no—
801#529C2×D7912yes—
802#529C2×D7912yes—
803#529C2×D7912yescomplemented
804#529C2×D7912yescomplemented
805#529C2×D7912yescomplemented
806#529C2×D7912yescomplemented
807C2×#125—792no—
808C2×#124—792no—
809#525—798no—
810#525C2×D7912yes—
811#525C2×D7912yes—
812#525C2×D7912yes—
813C2×C22⋊Q8—792no—
814C2×C22⋊Q8—792no—
815C2×C22⋊Q8—798no—
816C2×#121—792no—
817C2×#121—792no—
818#520—794no—
819#520—794no—
820#520—798no—
821#518—794no—
822C4×#41C2×D7912yes—
823C4×#41C2×D7912yescomplemented
824C4×#41C2×D7912yescomplemented
825C2×C4×Q8—792no—
826C2×C4×Q8—792no—
827C2×C4×D4—792no—
828C2×C4×D4—792no—
829C2×#117—792no—
830C22×C42C2×D7911yescharacteristic
8312−1+4—31616no—
832C2×#41—3168no—
833C2×#41—798no—
834C2×#41—7916no—
835C2×#41—798no—
836C2×#41—794no—
837C2×#41—794no—
838C2×#41—794no—
839C2×#41—798no—
840C2×#41—794no—
841C2×#41C22×D7912yes—
842C2×#41C22×D7912yes—
843C2×#41C22×D7912yes—
844C22×Q8—798no—
845C22×Q8—792no—
846C22×Q8—792no—
847C22×Q8—798no—
848C22×Q8—792no—
849C22×D4—794no—
850C22×D4—792no—
851C22×D4—792no—
852C22×D4—792no—
853C23×C4—794no—
854C23×C4C22×D7911yescharacteristic
855C23×C4C22×D7911yescharacteristic
856C23×C4C22×D7911yescharacteristic
857C4⋊Q8—798no—
858C4⋊Q8—7916no—
859C4⋊Q8—792no—
860C4⋊Q8—792no—
861C4⋊Q8—792no—
862C4⋊Q8—792no—
863C4⋊Q8—792no—
864C4⋊Q8—792no—
865C4⋊Q8—792no—
866C4⋊Q8—792no—
867C4⋊Q8—792no—
868C4⋊Q8—792no—
869C4⋊Q8—792no—
870C4⋊Q8—792no—
871C4⋊Q8—798no—
872C4⋊Q8—798no—
873C4⋊Q8—798no—
874C4⋊Q8C22×D7911yescharacteristic
875C4⋊Q8C22×D7911yescharacteristic
876C4⋊Q8C22×D7911yescharacteristic
877#127—798no—
878#127—792no—
879#127—792no—
880#127—792no—
881#127—792no—
882#127C22×D7911yescharacteristic
883#126—7916no—
884#126—7916no—
885#126—7916no—
886#126C22×D7914yes—
887#126C22×D7914yes—
888#125—798no—
889#125—7916no—
890#125—794no—
891#125—794no—
892#125—794no—
893#125—794no—
894#125—798no—
895#125C22×D7912yes—
896#125C22×D7912yes—
897#125C22×D7912yes—
898#124—798no—
899#124—7916no—
900#124—7916no—
901#124—7916no—
902#124—794no—
903#124—794no—
904#124—794no—
905#124—794no—
906#124—798no—
907#124—798no—
908#124C22×D7912yes—
909#124C22×D7912yes—
910#124C22×D7912yes—
911#123—7916no—
912#123—7916no—
913#123—7916no—
914#123—7916no—
915#123—7916no—
916#123—7916no—
917#123—7916no—
918#123—7916no—
919#123C22×D7914yes—
920#123C22×D7914yes—
921#123C22×D7914yes—
922C22⋊Q8—798no—
923C22⋊Q8—7916no—
924C22⋊Q8—794no—
925C22⋊Q8—794no—
926C22⋊Q8—794no—
927C22⋊Q8—794no—
928C22⋊Q8—794no—
929C22⋊Q8—794no—
930C22⋊Q8—794no—
931C22⋊Q8—794no—
932C22⋊Q8—798no—
933C22⋊Q8—798no—
934C22⋊Q8—798no—
935C22⋊Q8—7916no—
936C22⋊Q8—798no—
937C22⋊Q8—7916no—
938C22⋊Q8—7916no—
939C22⋊Q8—7916no—
940C22⋊Q8—7916no—
941C22⋊Q8—7916no—
942C22⋊Q8—7916no—
943C22⋊Q8—7916no—
944C22⋊Q8C22×D7912yes—
945C22⋊Q8C22×D7912yes—
946C22⋊Q8C22×D7912yes—
947C22⋊Q8C22×D7912yes—
948C22⋊Q8C22×D7912yes—
949C22⋊Q8C22×D7912yes—
950#121—798no—
951#121—7916no—
952#121—7916no—
953#121—7916no—
954#121—7916no—
955#121—794no—
956#121—794no—
957#121—794no—
958#121—794no—
959#121—794no—
960#121—794no—
961#121—794no—
962#121—794no—
963#121—798no—
964#121—798no—
965#121—798no—
966#121—798no—
967#121—7916no—
968#121—7916no—
969#121C22×D7912yes—
970#121C22×D7912yes—
971#121C22×D7912yes—
972#121C22×D7912yes—
973#121C22×D7912yes—
974#121C22×D7912yes—
975#120—7916no—
976#120C22×D7914yes—
977C4×Q8—798no—
978C4×Q8—794no—
979C4×Q8—794no—
980C4×Q8—794no—
981C4×Q8—794no—
982C4×Q8—794no—
983C4×Q8—794no—
984C4×Q8—794no—
985C4×Q8—794no—
986C4×Q8—798no—
987C4×Q8—798no—
988C4×Q8C22×D7912yes—
989C4×Q8C22×D7912yes—
990C4×Q8C22×D7912yes—
991C4×Q8C22×D7912yes—
992C4×Q8C22×D7912yes—
993C4×Q8C22×D7912yes—
994C4×D4—7916no—
995C4×D4—798no—
996C4×D4—798no—
997C4×D4—798no—
998C4×D4—7916no—
999C4×D4—7916no—
1000C4×D4—7916no—
1001C4×D4—794no—
1002C4×D4—794no—
1003C4×D4—794no—
1004C4×D4—794no—
1005C4×D4—794no—
1006C4×D4—794no—
1007C4×D4—794no—
1008C4×D4—794no—
1009C4×D4—798no—
1010C4×D4—798no—
1011C4×D4—798no—
1012C4×D4—798no—
1013C4×D4C22×D7914yes—
1014C4×D4C22×D7914yes—
1015C4×D4C22×D7912yes—
1016C4×D4C22×D7912yes—
1017C4×D4C22×D7914yes—
1018C4×D4C22×D7914yes—
1019C4×D4C22×D7914yes—
1020C4×D4C22×D7914yes—
1021C4×D4C22×D7912yes—
1022C4×D4C22×D7912yes—
1023C4×D4C22×D7912yes—
1024C4×D4C22×D7912yes—
1025#117—794no—
1026#117—794no—
1027#117—794no—
1028#117—794no—
1029#117—798no—
1030#117—798no—
1031#117—7916no—
1032#117C22×D7912yes—
1033#117C22×D7914yes—
1034#117C22×D7912yes—
1035#117C22×D7914yes—
1036#117C22×D7912yes—
1037#117C22×D7914yes—
1038C2×C4⋊C4—792no—
1039C2×C4⋊C4—792no—
1040C2×C4⋊C4—792no—
1041C2×C4⋊C4—792no—
1042C2×C4⋊C4—792no—
1043C2×C4⋊C4—794no—
1044C2×C4⋊C4—794no—
1045C2×C4⋊C4—792no—
1046C2×C4⋊C4—798no—
1047C2×C4⋊C4—798no—
1048C2×C4⋊C4—798no—
1049C2×C4⋊C4—7916no—
1050C2×C22⋊C4—794no—
1051C2×C22⋊C4—794no—
1052C2×C22⋊C4—794no—
1053C2×C22⋊C4—7916no—
1054C2×C42—794no—
1055C2×C42C22×D7911yescharacteristic
1056C2×C42C22×D7911yescharacteristic
1057C2×C42C22×D7911yescharacteristic
1058C2×C42C22×D7911yescharacteristic
1059C2×C42C22×D7911yescharacteristic
1060C2×C42C22×D7914yes—
1061C2×C42C22×D7911yescharacteristic
1062C2×C42C22×D7911yescharacteristic
1063C2×C42C22×D7911yescharacteristic
1064C2×C42C22×D7911yescharacteristic
1065C2×C42C22×D7911yescharacteristic
1066C2×C42C22×D7911yescharacteristic
1067C2×C42C22×D7911yescharacteristic
1068C24—794no—
1069C24C23×D7911yescharacteristic
1070#41—28no—
1071#41—28no—
1072#41—44no—
1073#41—3168no—
1074#41—31616no—
1075#41—31616no—
1076#41—3168no—
1077#41—3168no—
1078#41—31616no—
1079#41—31632no—
1080#41—15816no—
1081C2×Q8—3164no—
1082C2×Q8—3164no—
1083C2×Q8—31616no—
1084C2×Q8—31616no—
1085C2×Q8—794no—
1086C2×Q8—7916no—
1087C2×Q8—794no—
1088C2×Q8—794no—
1089C2×Q8—794no—
1090C2×Q8—794no—
1091C2×Q8—794no—
1092C2×Q8—1588no—
1093C2×Q8C23×D7912yes—
1094C2×Q8C23×D7912yes—
1095C2×Q8C23×D7912yes—
1096C2×D4—3164no—
1097C2×D4—3164no—
1098C2×D4—3168no—
1099C2×D4—7916no—
1100C2×D4—7916no—
1101C2×D4—798no—
1102C2×D4—798no—
1103C2×D4—794no—
1104C2×D4—794no—
1105C2×D4—794no—
1106C2×D4—794no—
1107C2×D4—794no—
1108C2×D4—794no—
1109C2×D4—1588no—
1110C2×D4C23×D7914yes—
1111C2×D4C23×D7912yes—
1112C2×D4C23×D7914yes—
1113C2×D4C23×D7912yes—
1114C2×D4C23×D7914yes—
1115C2×D4C23×D7912yes—
1116C22×C4—24no—
1117C22×C4—24no—
1118C22×C4—42no—
1119C22×C4—3168no—
1120C22×C4—794no—
1121C22×C4—794no—
1122C22×C4—7916no—
1123C22×C4—7916no—
1124C22×C4—7916no—
1125C22×C4—798no—
1126C22×C4—794no—
1127C22×C4—798no—
1128C22×C4C23×D7911yescharacteristic
1129C22×C4C23×D7911yescharacteristic
1130C22×C4C23×D7911yescharacteristic
1131C22×C4C23×D7911yescharacteristic
1132C22×C4C23×D7911yescharacteristic
1133C22×C4C23×D7911yescharacteristic
1134C22×C4C23×D7911yescharacteristic
1135C22×C4C23×D7911yescharacteristic
1136C22×C4C23×D7911yescharacteristic
1137C22×C4C23×D7911yescharacteristic
1138C22×C4C23×D7911yescharacteristic
1139C22×C4C23×D7911yescharacteristic
1140C22×C4C23×D7911yescharacteristic
1141C22×C4C23×D7914yes—
1142C22×C4C23×D7914yes—
1143C22×C4C23×D7914yes—
1144C22×C4C23×D7911yescharacteristic
1145C22×C4C23×D7911yescharacteristic
1146C22×C4C23×D7911yescharacteristic
1147C22×C4C23×D7911yescharacteristic
1148C22×C4C23×D7911yescharacteristic
1149C4⋊C4—798no—
1150C4⋊C4—7916no—
1151C4⋊C4—7916no—
1152C4⋊C4—798no—
1153C4⋊C4—798no—
1154C4⋊C4—798no—
1155C4⋊C4—794no—
1156C4⋊C4—794no—
1157C4⋊C4—794no—
1158C4⋊C4—794no—
1159C4⋊C4—794no—
1160C4⋊C4—7916no—
1161C4⋊C4—794no—
1162C4⋊C4—794no—
1163C4⋊C4—794no—
1164C4⋊C4—794no—
1165C4⋊C4—794no—
1166C4⋊C4—794no—
1167C4⋊C4—7916no—
1168C4⋊C4—794no—
1169C4⋊C4C23×D7912yes—
1170C4⋊C4C23×D7914yes—
1171C4⋊C4C23×D7912yes—
1172C4⋊C4C23×D7914yes—
1173C4⋊C4C23×D7912yes—
1174C4⋊C4C23×D7912yes—
1175C4⋊C4C23×D7912yes—
1176C4⋊C4C23×D7912yes—
1177C4⋊C4C23×D7914yes—
1178C4⋊C4C23×D7914yes—
1179C4⋊C4C23×D7914yes—
1180C4⋊C4C23×D7914yes—
1181C22⋊C4—798no—
1182C22⋊C4—798no—
1183C22⋊C4—7916no—
1184C22⋊C4—798no—
1185C22⋊C4—798no—
1186C22⋊C4—7916no—
1187C22⋊C4—7916no—
1188C22⋊C4—798no—
1189C22⋊C4—798no—
1190C22⋊C4—7916no—
1191C22⋊C4—7916no—
1192C22⋊C4C23×D7914yes—
1193C22⋊C4C23×D7914yes—
1194C22⋊C4C23×D7914yes—
1195C22⋊C4C23×D7914yes—
1196C22⋊C4C23×D7914yes—
1197C22⋊C4C23×D7914yes—
1198C22⋊C4C23×D7914yes—
1199C22⋊C4C23×D7914yes—
1200C22⋊C4C23×D7914yes—
1201C42—798no—
1202C42—798no—
1203C42—7916no—
1204C42C23×D7911yescharacteristic
1205C42C23×D7911yescharacteristic
1206C42C23×D7911yescharacteristic
1207C42C23×D7911yescharacteristic
1208C42C23×D7911yescharacteristic
1209C42C23×D7911yescharacteristic
1210C42C23×D7911yescharacteristic
1211C42C23×D7911yescharacteristic
1212C42C23×D7911yescharacteristic
1213C42C23×D7911yescharacteristic
1214C42C23×D7911yescharacteristic
1215C42C23×D7911yescharacteristic
1216C42C23×D7911yescharacteristic
1217C42C23×D7911yescharacteristic
1218C42C23×D7911yescharacteristic
1219C42C23×D7911yescharacteristic
1220C42C23×D7914yes—
1221C42C23×D7914yes—
1222C42C23×D7914yes—
1223C23—22no—
1224C23—22no—
1225C23—41no—
1226C23—3164no—
1227C23—3164no—
1228C23—798no—
1229C23—1588no—
1230C23C24×D7911yescharacteristic
1231C23C24×D7914yes—
1232C23C24×D7911yescharacteristic
1233C23C24×D7911yescharacteristic
1234Q8—24no—
1235Q8—24no—
1236Q8—42no—
1237Q8—31616no—
1238Q8—3164no—
1239Q8—3164no—
1240Q8—1588no—
1241Q8—1588no—
1242Q8—1588no—
1243Q8—1588no—
1244D4—28no—
1245D4—28no—
1246D4—24no—
1247D4—24no—
1248D4—42no—
1249D4—44no—
1250D4—3164no—
1251D4—3164no—
1252D4—3168no—
1253D4—31616no—
1254D4—31616no—
1255D4—15816no—
1256D4—1588no—
1257D4—1588no—
1258D4—1588no—
1259D4—1588no—
1260C2×C4—22no—
1261C2×C4—22no—
1262C2×C4—22no—
1263C2×C4—22no—
1264C2×C4—22no—
1265C2×C4—22no—
1266C2×C4—28no—
1267C2×C4—22no—
1268C2×C4—22no—
1269C2×C4—22no—
1270C2×C4—22no—
1271C2×C4—28no—
1272C2×C4—22no—
1273C2×C4—22no—
1274C2×C4—22no—
1275C2×C4—28no—
1276C2×C4—41no—
1277C2×C4—41no—
1278C2×C4—41no—
1279C2×C4—3168no—
1280C2×C4—31616no—
1281C2×C4—31616no—
1282C2×C4—3164no—
1283C2×C4—31616no—
1284C2×C4—3164no—
1285C2×C4—798no—
1286C2×C4—798no—
1287C2×C4—798no—
1288C2×C4—1588no—
1289C2×C4—15816no—
1290C2×C4#1457920714yes—
1291C2×C4#1457920814yescomplemented
1292C2×C4C24×D7911yescharacteristic
1293C2×C4C24×D7914yes—
1294C2×C4C24×D7911yescharacteristic
1295C2×C4C24×D7911yescharacteristic
1296C2×C4C24×D7911yescharacteristic
1297C2×C4C24×D7911yescharacteristic
1298C2×C4C24×D7911yescharacteristic
1299C2×C4C24×D7911yescharacteristic
1300C2×C4C24×D7914yes—
1301C2×C4C24×D7914yes—
1302C2×C4C24×D7911yescharacteristic
1303C2×C4C24×D7911yescharacteristic
1304C2×C4C24×D7911yescharacteristic
1305C2×C4C24×D7911yescharacteristic
1306C2×C4C24×D7911yescharacteristic
1307C22—21no—
1308C22—21no—
1309C22—21no—
1310C22—21no—
1311C22—21no—
1312C22—24no—
1313C22—21no—
1314C22—24no—
1315C22—21no—
1316C22—24no—
1317C22—44no—
1318C22—6328no—
1319C22—1588no—
1320C22—1588no—
1321C22—1588no—
1322C22C2×#1457920712yes—
1323C22C2×#1457920812yes—
1324C22C25×D7911yescharacteristic
1325C4—21no—
1326C4—21no—
1327C4—24no—
1328C4—21no—
1329C4—21no—
1330C4—24no—
1331C4—21no—
1332C4—21no—
1333C4—21no—
1334C4—24no—
1335C4—1588no—
1336C4—1588no—
1337C4—1588no—
1338C4C2×#1457920712yes—
1339C4C2×#1457920712yes—
1340C4C2×#1457920812yes—
1341C4C2×#1457920812yes—
1342C4#1909939912yes—
1343C2—22no—
1344C2—22no—
1345C2—41no—
1346C2—44no—
1347C2—3168no—
1348C2C22×#1457920711yescharacteristic
1349C2C22×#1457920811yescharacteristic
1350C2C2×#1909939911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3444C2
hypercenter#3444D79
hypocenterC79#62835
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3444

Complements

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

NH ≅ G/Ntype
1. #23777970C2semidirect
2. #23777931C2semidirect
3. #23777873C2semidirect
4. #23777811C2semidirect
5. #23777798C2semidirect
6. #23777791C2semidirect
7. #23777627C2semidirect
8. #23777483C2semidirect
9. #23777451C2semidirect
10. #23777311C2semidirect
11. #23777311C2semidirect
12. #23777276C2semidirect
13. #23777267C2semidirect
14. #23777249C2semidirect
15. #23777219C2semidirect
16. #23777201C2semidirect
17. #23777185C2semidirect
18. #23777166C2semidirect
19. #23777137C2semidirect
20. #23777072C2semidirect
21. C2×#19099120C2semidirect
22. C2×#19099113C2semidirect
23. C79×#3444C2semidirect
24. C2×#14579208C22semidirect
26. #19099317C22semidirect
27. #19099310C22semidirect
28. #19099307C22semidirect
29. #19099298C22semidirect
30. #19099298C22semidirect
31. #19099295C22semidirect
32. Q8×Dic158C22semidirect
33. #19099292C22semidirect
34. #19099287C22semidirect
35. #19099286C22semidirect
36. #19099286C22semidirect
37. #19099278C22semidirect
38. #19099278C22semidirect
39. #19099274C22semidirect
40. #19099273C22semidirect
41. #19099273C22semidirect
43. #19099270C22semidirect
44. #19099269C22semidirect
45. #19099259C22semidirect
46. #19099259C22semidirect
47. #19099259C22semidirect
48. #19099251C22semidirect
50. #19099234C22semidirect
51. #19099234C22semidirect
52. #19099233C22semidirect
53. Q8×D316C22semidirect
54. Q8×D316C22semidirect
56. D4×Dic158C22semidirect
57. #19099228C22semidirect
58. #19099222C22semidirect
59. #19099222C22semidirect
60. #19099222C22semidirect
61. #19099221C22semidirect
62. #19099218C22semidirect
63. #19099218C22semidirect
64. #19099217C22semidirect
65. #19099217C22semidirect
66. #19099217C22semidirect
67. #19099217C22semidirect
68. #19099211C22semidirect
73. #19099191C22semidirect
75. #19099186C22semidirect
76. #19099184C22semidirect
77. #19099184C22semidirect
78. #19099184C22semidirect
79. #19099179C22semidirect
80. #19099168C22semidirect
81. #19099166C22semidirect
82. #19099162C22semidirect
83. #19099154C22semidirect
85. #19099142C22semidirect
86. #19099141C22semidirect
87. #19099141C22semidirect
88. #19099140C22semidirect
89. #19099139C22semidirect
90. #19099139C22semidirect
91. #19099136C22semidirect
97. #19099120C22semidirect
98. #19099120C22semidirect
99. #19099120C22semidirect
100. #19099120C22semidirect
101. #19099120C22semidirect
110. #19099113C22semidirect
111. #19099113C22semidirect
112. #19099108C22semidirect
114. C2×#14579161C22semidirect
115. C2×#14579161C22semidirect
116. C2×#14579161C22semidirect
118. #19099099C22semidirect
119. C2×#14579153C22semidirect
128. #19099043C22semidirect
129. #19099043C22semidirect
131. C2×C4×Dic158C22semidirect
132. C2×C4×Dic158C22semidirect
137. #533×C79C22semidirect
138. #533×C79C22semidirect
140. #532×C79C22semidirect
141. #532×C79C22semidirect
144. #529×C79C22semidirect
145. #529×C79C22semidirect
146. #529×C79C22semidirect
147. #529×C79C22semidirect
152. C4×#41×C79C22semidirect
153. C4×#41×C79C22semidirect
587. C2×C4×C792−1+4semidirect
696. #3444D79semidirect
699. C79#62835semidirect
779. #533C2×D79semidirect
780. #533C2×D79semidirect
793. #532C2×D79semidirect
794. #532C2×D79semidirect
803. #529C2×D79semidirect
804. #529C2×D79semidirect
805. #529C2×D79semidirect
806. #529C2×D79semidirect
823. C4×#41C2×D79semidirect
824. C4×#41C2×D79semidirect
1291. C2×C4#14579208semidirect

Maximal subgroups

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

subgroupindex
#237779702
#237779312
#237778732
#237778112
#237777982
#237777912
#237776272
#237774832
#237774512
#237773112
#237772762
#237772672
#237772492
#237772192
#237772012
#237771852
#237771662
#237771372
#237770722
C2×#190991202
C2×#190991132
C79×#34442
#6283579