Finite Group Databasebeta

← #35196899

Subgroups — #35196899

Order 20224.

8042 conjugacy classes of subgroups.

The subgroup lattice has 1892 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777716C214yesmaximal, complemented
2#23777708C214yesmaximal, complemented
3#23777639C212yesmaximal, complemented
4#23777635C212yesmaximal, complemented
5#23777629C212yesmaximal, complemented
6#23777627C212yesmaximal, complemented
7#23777594C214yesmaximal, complemented
8#23777584C214yesmaximal, complemented
9#23777432C214yesmaximal, complemented
10#23777420C214yesmaximal, complemented
11#23777241C212yesmaximal, complemented
12#23777239C212yesmaximal, complemented
13#23777164C212yesmaximal, complemented
14#23777157C212yesmaximal, complemented
15#23777137C212yesmaximal, complemented
16#23777135C212yesmaximal, complemented
17#23777106C212yesmaximal, complemented
18#23777083C214yesmaximal, complemented
19#23777069C212yesmaximal, complemented
20#23777061C212yesmaximal, complemented
21#23777033C212yesmaximal, complemented
22#23777029C214yesmaximal, complemented
23C2×#19099074C211yesmaximal, characteristic, complemented
24C22×#14579135C211yesmaximal, characteristic, complemented
25C2×#525×C79C211yesmaximal, characteristic, complemented
26C2×#14579207C2212yescomplemented
27C2×#14579206C2214yescomplemented
28C22×#11929624C2211yescharacteristic, complemented
29C23×D316C2211yescharacteristic, complemented
30C23×C22⋊D79C2212yescomplemented
31#19099310C2218yescomplemented
32#19099309C2218yescomplemented
33#19099303C2218yescomplemented
34#19099301C2218yescomplemented
35#19099278C2214yescomplemented
36#19099276C2214yescomplemented
37#19099271C2214yescomplemented
38#19099270C2214yescomplemented
39#19099265C2214yescomplemented
40#19099262C2218yescomplemented
41#19099261C2218yescomplemented
42#19099261C2214yescomplemented
43#19099259C2214yescomplemented
44#19099259C2214yescomplemented
45#19099259C2214yescomplemented
46#19099257C2214yescomplemented
47#19099255C2214yescomplemented
48#19099253C2214yescomplemented
49#19099242C2218yescomplemented
50#19099240C2218yescomplemented
51#19099237C2218yescomplemented
52#19099236C2218yescomplemented
53#19099234C2214yescomplemented
54#19099232C2214yescomplemented
55#19099224C2214yescomplemented
56#19099222C2214yescomplemented
57#19099217C2214yescomplemented
58#19099217C2214yescomplemented
59#19099214C2214yescomplemented
60#19099213C2214yescomplemented
61#19099209C2214yescomplemented
62#19099209C2214yescomplemented
63#19099209C2214yescomplemented
64#19099208C2218yescomplemented
65#19099208C2218yescomplemented
66#19099205C2218yescomplemented
67#19099204C2214yescomplemented
68#19099204C2214yescomplemented
69#19099203C2218yescomplemented
70#19099203C2218yescomplemented
71#19099203C2218yescomplemented
72#19099202C2218yescomplemented
73#19099201C2218yescomplemented
74#19099201C2214yescomplemented
75#19099200C2218yescomplemented
76#19099200C2218yescomplemented
77D4×D316C2214yescomplemented
78D4×D316C2214yescomplemented
79D4×D316C2214yescomplemented
80#19099197C2214yescomplemented
81#19099197C2214yescomplemented
82D4×C22⋊D79C2218yescomplemented
83D4×C22⋊D79C2218yescomplemented
84D4×C22⋊D79C2214yescomplemented
85#19099195C2218yescomplemented
86#19099195C2218yescomplemented
87#19099191C2212yescomplemented
88#19099188C2214yescomplemented
89#19099186C2214yescomplemented
90#19099184C2214yescomplemented
91#19099168C2214yescomplemented
92#19099166C2214yescomplemented
93#19099165C2218yescomplemented
94#19099164C2218yescomplemented
95#19099162C2214yescomplemented
96#19099160C2214yescomplemented
97#19099157C2218yescomplemented
98#19099153C2214yescomplemented
99#19099153C2214yescomplemented
100#19099151C2214yescomplemented
101#19099150C2214yescomplemented
102#19099149C2218yescomplemented
103#19099146C2218yescomplemented
104#19099146C2218yescomplemented
105#19099144C2214yescomplemented
106#19099143C2214yescomplemented
107#19099141C2212yescomplemented
108#19099141C2214yescomplemented
109#19099140C2214yescomplemented
110#19099132C2212yescomplemented
111#19099129C2214yescomplemented
112#19099128C2218yescomplemented
113#19099127C2212yescomplemented
114#19099127C2214yescomplemented
115#19099125C2214yescomplemented
116#19099125C2214yescomplemented
117#19099124C2218yescomplemented
118#19099123C2218yescomplemented
119#19099122C2214yescomplemented
120#19099121C2214yescomplemented
121#19099121C2214yescomplemented
122#19099113C2214yescomplemented
123#19099108C2214yescomplemented
124#19099099C2214yescomplemented
125#19099097C2214yescomplemented
126#19099076C2214yescomplemented
127#19099074C2212yescomplemented
128#19099074C2212yescomplemented
129#19099074C2212yescomplemented
130#19099074C2212yescomplemented
131#19099074C2212yescomplemented
132#19099074C2212yescomplemented
133#19099074C2212yescomplemented
134#19099074C2212yescomplemented
135#19099074C2214yescomplemented
136#19099069C2218yescomplemented
137C2×#14579144C2212yescomplemented
138C2×#14579140C2211yescharacteristic, complemented
139C2×#14579140C2211yescharacteristic, complemented
140C2×#14579135C2212yescomplemented
141C2×#14579135C2212yescomplemented
142C2×#14579135C2212yescomplemented
143C2×#14579135C2212yescomplemented
144C2×#14579135C2212yescomplemented
145C2×#14579135C2212yescomplemented
146C2×#14579135C2212yescomplemented
147C2×#14579135C2212yescomplemented
148C2×#14579135C2212yescomplemented
149C2×#14579135C2212yescomplemented
150C2×#14579135C2212yescomplemented
151C2×#14579135C2212yescomplemented
152C2×#14579135C2211yescharacteristic, complemented
153C2×#14579135C2211yescharacteristic, complemented
154C2×#14579135C2214yescomplemented
155#121×D79C2214yescomplemented
156C2×#14579130C2212yescomplemented
157#120×D79C2218yescomplemented
158#19099046C2212yescomplemented
159#19099043C2212yescomplemented
160#19099037C2212yescomplemented
161#19099036C2214yescomplemented
162#19099035C2218yescomplemented
163C2×C4×C22⋊D79C2212yescomplemented
164C2×C4×C22⋊D79C2212yescomplemented
165C2×#14579120C2211yescharacteristic, complemented
166C22×C4⋊Dic79C2211yescharacteristic, complemented
167C22×(C2×D79)⋊C4C2212yescomplemented
168C22×#41×C79C2211yescharacteristic, complemented
169C24×C4×C79C2211yescharacteristic, complemented
170#525×C79C2212yescomplemented
171#525×C79C2212yescomplemented
172#525×C79C2212yescomplemented
173#525×C79C2212yescomplemented
174#525×C79C2212yescomplemented
175#525×C79C2212yescomplemented
176#525×C79C2212yescomplemented
177#525×C79C2212yescomplemented
178C2×#123×C79C2212yescomplemented
179C2×C22⋊Q8×C79C2211yescharacteristic, complemented
180C2×C22⋊Q8×C79C2211yescharacteristic, complemented
181C2×#121×C79C2211yescharacteristic, complemented
182C2×#121×C79C2211yescharacteristic, complemented
183C2×#120×C79C2212yescomplemented
184C2×C4×D4×C79C2212yescomplemented
185C2×C4×D4×C79C2212yescomplemented
186C2×#117×C79C2211yescharacteristic, complemented
187C24×D79C2312yes—
188#14579207—48no—
189#14579206—416no—
190C2×#11929625C2314yescomplemented
191C2×#11929624—44no—
192C2×#11929624C2312yes—
193C2×#11929624C2312yes—
194C2×#11929624C2318yescomplemented
195C2×#11929624C2314yescomplemented
196C2×#11929624C2312yescomplemented
197C2×#11929624C2312yescomplemented
198C2×#11929623C2318yes—
199C2×#11929623C2318yescomplemented
200C22×Dic158C2311yescharacteristic, complemented
201C22×D316—44no—
202C22×D316C2312yes—
203C22×D316C2312yes—
204C22×D316C2312yes—
205C22×D316C2312yes—
206C22×D316C2312yes—
207C22×D316C2312yes—
208C22×D316C2314yescomplemented
209C22×D316C2311yescharacteristic, complemented
210C22×C22⋊D79—48no—
211C22×C22⋊D79C2312yes—
212C22×C22⋊D79C2314yes—
213C22×C22⋊D79C2312yes—
214C22×C22⋊D79C2312yes—
215C22×C22⋊D79C2314yes—
216C22×C22⋊D79C2314yes—
217C22×C22⋊D79C2314yes—
218C22×C22⋊D79C2314yes—
219C22×C22⋊D79C2314yes—
220C22×C22⋊D79C2318yescomplemented
221C2×D4×D79C2318yes—
222C2×D4×D79C2318yes—
223C2×D4×D79C2318yes—
224C2×D4×D79C2318yescomplemented
225C2×D4×D79C2314yescomplemented
226C23×Dic79C2312yes—
227C22×C4×D79C2312yescomplemented
228#14579161C2314yescomplemented
229#14579160C2314yescomplemented
230#14579158C2314yescomplemented
231#14579157C2318yescomplemented
232#14579157C2318yescomplemented
233#14579157C2314yescomplemented
234#14579156C2318yescomplemented
235#14579156C2318yescomplemented
236#14579156C2318yescomplemented
237#14579156C2318yescomplemented
238#14579155C2318yescomplemented
239#14579154C2318yescomplemented
240#14579153C2314yescomplemented
241#14579152C2318yescomplemented
242#14579152C2314yescomplemented
243#14579151C2318yescomplemented
244#14579150C2318yescomplemented
245#14579150C2314yescomplemented
246#14579149C2318yescomplemented
247#14579149C2314yescomplemented
248#14579147C2318yescomplemented
249#14579147C2318yescomplemented
250#14579147C2318yescomplemented
251#14579147C2318yescomplemented
252#14579146C2318yescomplemented
253#14579146C2318yescomplemented
254#14579146C2318yescomplemented
255#14579146C2318yescomplemented
256#14579146C2318yescomplemented
257#14579145C2318yes—
258#14579145C2318yescomplemented
259#14579145C2318yescomplemented
260#14579145C2318yescomplemented
261#14579144C2314yes—
262#14579144C2314yes—
263#14579144C2314yescomplemented
264#14579144C2318yescomplemented
265#14579144C2318yescomplemented
266#14579144C2314yescomplemented
267#14579143C2318yescomplemented
268#14579143C2318yescomplemented
269#14579143C2318yescomplemented
270#14579143C2318yescomplemented
271#14579142C2318yes—
272#14579141C2318yescomplemented
273#14579141C2318yescomplemented
274#14579140C2312yes—
275#14579140C2312yes—
276#14579140C2312yes—
277#14579140C2312yes—
278#14579140C2312yescomplemented
279#14579140C2314yescomplemented
280#14579140C2312yescomplemented
281#14579140C2312yescomplemented
282#14579140C2312yescomplemented
283#14579139C2318yescomplemented
284#14579139C2318yescomplemented
285#14579138C2318yes—
286#14579138C2318yes—
287#14579138C2318yescomplemented
288#14579137C2314yescomplemented
289#14579137C2318yescomplemented
290#14579136C2318yescomplemented
291#14579136C2314yescomplemented
292#14579136C2318yescomplemented
293#14579136C2318yescomplemented
294#14579136C2314yescomplemented
295#14579135C2314yes—
296#14579135C2314yes—
297#14579135C2314yes—
298#14579135C2314yes—
299#14579135C2314yes—
300#14579135C2314yes—
301#14579135C2312yes—
302#14579135C2314yes—
303#14579135C2312yes—
304#14579135C2312yes—
305#14579135C2314yes—
306#14579135C2314yes—
307#14579135C2314yes—
308#14579135C2312yes—
309#14579135C2314yes—
310#14579135C2314yes—
311#14579135C2314yes—
312#14579135C2314yes—
313#14579135C2314yes—
314#14579135C2314yes—
315#14579135C2314yescomplemented
316#14579135C2314yescomplemented
317#14579135C2312yescomplemented
318#14579135C2318yescomplemented
319#14579135C2318yescomplemented
320#14579135C2312yescomplemented
321#14579135C2318yescomplemented
322#14579135C2314yescomplemented
323#14579135C2312yescomplemented
324#14579135C2312yescomplemented
325#14579134C2318yescomplemented
326#14579134C2318yescomplemented
327#14579134C2318yescomplemented
328#14579134C2318yescomplemented
329#14579134C2318yescomplemented
330#14579134C2318yescomplemented
331#14579134C2318yescomplemented
332#14579133C2318yes—
333#14579133C2318yes—
334#14579133C2318yescomplemented
335#14579133C2318yescomplemented
336#14579133C2318yescomplemented
337#14579133C2318yescomplemented
338#14579133C2318yescomplemented
339#14579132C2318yescomplemented
340#14579132C2314yescomplemented
341#14579132C2318yescomplemented
342#14579131C2318yes—
343#14579131C2318yes—
344#14579131C2318yes—
345#14579131C2318yescomplemented
346#14579131C2318yescomplemented
347#14579131C2318yescomplemented
348#14579131C2318yescomplemented
349#14579130C2314yes—
350#14579130C2314yes—
351#14579130C2314yes—
352#14579130C2314yes—
353#14579130C2318yescomplemented
354#14579129C2318yes—
355#14579129C2318yes—
356#14579129C2318yes—
357#14579129C2318yescomplemented
358#14579129C2318yescomplemented
359#14579129C2318yescomplemented
360Q8×Dic79C2314yescomplemented
361C4×Dic158C2314yescomplemented
362C4×D316C2318yescomplemented
363C4×D316C2314yescomplemented
364C4×D316C2314yescomplemented
365C4×D316C2314yescomplemented
366D4×Dic79C2318yes—
367D4×Dic79C2318yes—
368D4×Dic79C2314yescomplemented
369#14579123C2318yescomplemented
370#14579123C2314yescomplemented
371#14579123C2314yescomplemented
372C4×C22⋊D79C2314yes—
373C4×C22⋊D79C2314yes—
374C4×C22⋊D79C2314yes—
375C4×C22⋊D79C2314yes—
376C4×C22⋊D79C2318yescomplemented
377C4×C22⋊D79C2314yescomplemented
378C4×C22⋊D79C2318yescomplemented
379C4×C22⋊D79C2318yescomplemented
380C4×C22⋊D79C2314yescomplemented
381C4×C22⋊D79C2314yescomplemented
382C4×C22⋊D79C2314yescomplemented
383(C22⋊D79)⋊C4C2318yes—
384(C22⋊D79)⋊C4C2318yes—
385(C22⋊D79)⋊C4C2318yescomplemented
386(C22⋊D79)⋊C4C2318yescomplemented
387(C22⋊D79)⋊C4C2318yescomplemented
388#14579120C2312yes—
389#14579120C2312yes—
390#14579120C2312yescomplemented
391#14579120C2314yescomplemented
392#14579120C2312yescomplemented
393#14579119C2318yescomplemented
394#14579119C2314yescomplemented
395#14579118C2318yescomplemented
396#14579117C2318yes—
397C2×C4⋊Dic79C2312yes—
398C2×C4⋊Dic79C2312yes—
399C2×C4⋊Dic79C2312yes—
400C2×C4⋊Dic79C2312yes—
401C2×C4⋊Dic79C2312yes—
402C2×C4⋊Dic79C2312yes—
403C2×C4⋊Dic79C2314yescomplemented
404C2×C4⋊Dic79C2311yescharacteristic, complemented
405C2×C4⋊Dic79C2311yescharacteristic, complemented
406C2×Dic79⋊C4C2312yescomplemented
407C2×Dic79⋊C4C2312yescomplemented
408C4⋊C4×D79C2314yescomplemented
409C2×C22⋊Dic79C2312yes—
410C2×C22⋊Dic79C2312yes—
411C2×C22⋊Dic79C2312yes—
412C2×(C2×D79)⋊C4C2314yes—
413C2×(C2×D79)⋊C4C2314yes—
414C2×(C2×D79)⋊C4C2314yes—
415C2×(C2×D79)⋊C4C2314yes—
416C2×(C2×D79)⋊C4C2314yes—
417C2×(C2×D79)⋊C4C2314yes—
418C2×(C2×D79)⋊C4C2318yescomplemented
419C2×(C2×D79)⋊C4C2312yescomplemented
420C2×(C2×D79)⋊C4C2312yescomplemented
421C22⋊C4×D79C2318yes—
422C22⋊C4×D79C2318yes—
423C22⋊C4×D79C2318yes—
424C22⋊C4×D79C2318yescomplemented
425C2×C4×Dic79C2312yescomplemented
426C25×C79C2311yescharacteristic
427C2×#41×C79—44no—
428C2×#41×C79C2312yes—
429C2×#41×C79C2312yes—
430C2×#41×C79C2312yescomplemented
431C2×#41×C79C2312yescomplemented
432C22×Q8×C79C2311yescharacteristic, complemented
433C22×D4×C79C2312yes—
434C22×D4×C79C2312yes—
435C22×D4×C79C2312yes—
436C22×D4×C79C2311yescharacteristic, complemented
437C23×C4×C79—44no—
438C23×C4×C79C2311yescharacteristic
439C23×C4×C79C2311yescharacteristic
440C23×C4×C79C2311yescharacteristic
441C23×C4×C79C2311yescharacteristic
442C23×C4×C79C2311yescharacteristic
443C23×C4×C79C2311yescharacteristic
444C23×C4×C79C2311yescharacteristic
445C23×C4×C79C2311yescharacteristic
446C23×C4×C79C2311yescharacteristic
447C23×C4×C79C2311yescharacteristic
448C23×C4×C79C2311yescharacteristic
449C23×C4×C79C2311yescharacteristic
450C23×C4×C79C2311yescharacteristic
451C23×C4×C79C2311yescharacteristic
452C23×C4×C79C2312yescomplemented
453#123×C79C2314yes—
454#123×C79C2314yes—
455#123×C79C2314yescomplemented
456#123×C79C2314yescomplemented
457C22⋊Q8×C79C2312yes—
458C22⋊Q8×C79C2312yes—
459C22⋊Q8×C79C2312yes—
460C22⋊Q8×C79C2312yes—
461C22⋊Q8×C79C2312yescomplemented
462C22⋊Q8×C79C2312yescomplemented
463C22⋊Q8×C79C2312yescomplemented
464C22⋊Q8×C79C2312yescomplemented
465#121×C79C2312yes—
466#121×C79C2312yes—
467#121×C79C2312yes—
468#121×C79C2312yes—
469#121×C79C2312yescomplemented
470#121×C79C2312yescomplemented
471#121×C79C2312yescomplemented
472#121×C79C2312yescomplemented
473#120×C79C2314yes—
474#120×C79C2314yes—
475#120×C79C2314yes—
476#120×C79C2314yes—
477C4×D4×C79C2314yes—
478C4×D4×C79C2314yes—
479C4×D4×C79C2314yes—
480C4×D4×C79C2314yes—
481C4×D4×C79C2314yescomplemented
482C4×D4×C79C2314yescomplemented
483C4×D4×C79C2314yescomplemented
484C4×D4×C79C2314yescomplemented
485#117×C79C2312yes—
486#117×C79C2312yes—
487#117×C79C2312yescomplemented
488#117×C79C2312yescomplemented
489C2×C4⋊C4×C79C2312yescomplemented
490C2×C4⋊C4×C79C2311yescharacteristic, complemented
491C2×C4⋊C4×C79C2311yescharacteristic, complemented
492C2×C4⋊C4×C79C2312yescomplemented
493C2×C22⋊C4×C79C2312yes—
494C2×C22⋊C4×C79C2312yes—
495C2×C22⋊C4×C79C2312yes—
496C2×C22⋊C4×C79C2312yescomplemented
497C2×C22⋊C4×C79C2312yescomplemented
498C2×C42×C79C2312yescomplemented
499C23×D79—44no—
500C23×D79—44no—
501C23×D79—44no—
502C23×D79C2414yes—
503C23×D79C2414yes—
504C23×D79C2414yes—
505C23×D79C2412yes—
506C23×D79C2418yes—
507#11929625—48no—
508#11929624—28no—
509#11929624—44no—
510#11929624—416no—
511#11929624—44no—
512#11929624—48no—
513#11929624—44no—
514#11929623—416no—
515#11929623—416no—
516C2×Dic158—42no—
517C2×Dic158C2412yes—
518C2×Dic158C2412yes—
519C2×Dic158C2418yes—
520C2×D316—28no—
521C2×D316—44no—
522C2×D316—42no—
523C2×D316—48no—
524C2×D316—44no—
525C2×D316—44no—
526C2×D316—44no—
527C2×D316—44no—
528C2×D316C2412yes—
529C2×D316C2414yes—
530C2×D316C2414yes—
531C2×D316C2412yes—
532C2×D316C2418yes—
533C2×D316C2418yes—
534C2×D316C2418yes—
535C2×D316C2414yes—
536C2×D316C2414yes—
537C2×C22⋊D79—28no—
538C2×C22⋊D79—216no—
539C2×C22⋊D79—44no—
540C2×C22⋊D79—416no—
541C2×C22⋊D79—48no—
542C2×C22⋊D79—48no—
543C2×C22⋊D79—48no—
544C2×C22⋊D79—48no—
545C2×C22⋊D79—44no—
546C2×C22⋊D79—48no—
547C2×C22⋊D79C2414yes—
548C2×C22⋊D79C2418yes—
549C2×C22⋊D79C2414yes—
550C2×C22⋊D79C2414yes—
551C2×C22⋊D79C2418yes—
552C2×C22⋊D79C2414yes—
553C2×C22⋊D79C2418yes—
554C2×C22⋊D79C2418yes—
555C2×C22⋊D79C2414yes—
556C2×C22⋊D79C2418yes—
557C2×C22⋊D79C2418yes—
558C2×C22⋊D79C2414yes—
559C2×C22⋊D79C2418yes—
560C2×C22⋊D79C2418yes—
561D4×D79—416no—
562D4×D79—416no—
563D4×D79—416no—
564D4×D79—416no—
565D4×D79—48no—
566C22×Dic79—44no—
567C22×Dic79C2414yes—
568C22×Dic79C2412yes—
569C22×Dic79C2412yes—
570C22×Dic79C2418yes—
571C22×Dic79C2412yes—
572C22×Dic79C2414yes—
573C22×Dic79C2414yes—
574C2×C4×D79—44no—
575C2×C4×D79C2414yes—
576C2×C4×D79C2418yes—
577C2×C4×D79C2418yes—
578C2×C4×D79C2414yes—
579C2×C4×D79C2418yes—
580C2×C4×D79C2418yes—
581C4⋊Dic79C2414yes—
582C4⋊Dic79C2414yes—
583C4⋊Dic79C2414yes—
584C4⋊Dic79C2414yes—
585C4⋊Dic79C2412yes—
586C4⋊Dic79C2412yes—
587C4⋊Dic79C2412yes—
588C4⋊Dic79C2412yes—
589C4⋊Dic79C2418yes—
590C4⋊Dic79C2418yes—
591Dic79⋊C4C2418yes—
592Dic79⋊C4C2414yes—
593Dic79⋊C4C2414yes—
594Dic79⋊C4C2414yes—
595Dic79⋊C4C2414yes—
596Dic79⋊C4C2418yes—
597Dic79⋊C4C2418yes—
598Dic79⋊C4C2418yes—
599C22⋊Dic79C2414yes—
600C22⋊Dic79C2414yes—
601C22⋊Dic79C2414yes—
602C22⋊Dic79C2418yes—
603C22⋊Dic79C2414yes—
604C22⋊Dic79C2414yes—
605C22⋊Dic79C2414yes—
606C22⋊Dic79C2418yes—
607(C2×D79)⋊C4C2418yes—
608(C2×D79)⋊C4C2418yes—
609(C2×D79)⋊C4C2418yes—
610(C2×D79)⋊C4C2418yes—
611(C2×D79)⋊C4C2418yes—
612(C2×D79)⋊C4C2418yes—
613(C2×D79)⋊C4C2418yes—
614(C2×D79)⋊C4C2418yes—
615(C2×D79)⋊C4C2418yes—
616(C2×D79)⋊C4C2418yes—
617(C2×D79)⋊C4C2414yes—
618(C2×D79)⋊C4C2418yes—
619(C2×D79)⋊C4C2414yes—
620(C2×D79)⋊C4C2414yes—
621(C2×D79)⋊C4C2414yes—
622(C2×D79)⋊C4C2418yes—
623C4×Dic79C2414yes—
624C4×Dic79C2414yes—
625C4×Dic79C2418yes—
626C4×Dic79C2418yes—
627C24×C79—24no—
628C24×C79—42no—
629C24×C79—42no—
630C24×C79C2411yescharacteristic
631C24×C79C2411yescharacteristic
632C24×C79C2411yescharacteristic
633C24×C79C2411yescharacteristic
634C24×C79C2411yescharacteristic
635C24×C79C2412yes—
636C24×C79C2411yescharacteristic
637C24×C79C2411yescharacteristic
638#41×C79—28no—
639#41×C79—44no—
640#41×C79—44no—
641#41×C79—44no—
642C2×Q8×C79—42no—
643C2×Q8×C79C2412yes—
644C2×Q8×C79C2412yes—
645C2×D4×C79—28no—
646C2×D4×C79—42no—
647C2×D4×C79—44no—
648C2×D4×C79—44no—
649C2×D4×C79C2414yes—
650C2×D4×C79C2414yes—
651C2×D4×C79C2414yes—
652C2×D4×C79C2414yes—
653C2×D4×C79C2412yes—
654C2×D4×C79C2414yes—
655C2×D4×C79C2414yes—
656C2×D4×C79C2412yes—
657C22×C4×C79—24no—
658C22×C4×C79—24no—
659C22×C4×C79—24no—
660C22×C4×C79—42no—
661C22×C4×C79—42no—
662C22×C4×C79—42no—
663C22×C4×C79—42no—
664C22×C4×C79—42no—
665C22×C4×C79—42no—
666C22×C4×C79—42no—
667C22×C4×C79—42no—
668C22×C4×C79—44no—
669C22×C4×C79—42no—
670C22×C4×C79—42no—
671C22×C4×C79—42no—
672C22×C4×C79C2411yescharacteristic
673C22×C4×C79C2411yescharacteristic
674C22×C4×C79C2412yes—
675C22×C4×C79C2411yescharacteristic
676C22×C4×C79C2411yescharacteristic
677C22×C4×C79C2414yes—
678C22×C4×C79C2411yescharacteristic
679C22×C4×C79C2411yescharacteristic
680C22×C4×C79C2411yescharacteristic
681C22×C4×C79C2411yescharacteristic
682C22×C4×C79C2411yescharacteristic
683C22×C4×C79C2411yescharacteristic
684C22×C4×C79C2411yescharacteristic
685C22×C4×C79C2411yescharacteristic
686C22×C4×C79C2411yescharacteristic
687C22×C4×C79C2411yescharacteristic
688C22×C4×C79C2411yescharacteristic
689C22×C4×C79C2412yes—
690C22×C4×C79C2412yes—
691C22×C4×C79C2411yescharacteristic
692C22×C4×C79C2411yescharacteristic
693C22×C4×C79C2411yescharacteristic
694C22×C4×C79C2411yescharacteristic
695C22×C4×C79C2414yes—
696C22×C4×C79C2411yescharacteristic
697C22×C4×C79C2411yescharacteristic
698C22×C4×C79C2411yescharacteristic
699C22×C4×C79C2411yescharacteristic
700C22×C4×C79C2411yescharacteristic
701C22×C4×C79C2411yescharacteristic
702C22×C4×C79C2411yescharacteristic
703C22×C4×C79C2411yescharacteristic
704C22×C4×C79C2411yescharacteristic
705C4⋊C4×C79C2412yes—
706C4⋊C4×C79C2412yes—
707C4⋊C4×C79C2412yes—
708C4⋊C4×C79C2412yes—
709C4⋊C4×C79C2414yes—
710C4⋊C4×C79C2414yes—
711C4⋊C4×C79C2414yes—
712C4⋊C4×C79C2414yes—
713C22⋊C4×C79C2414yes—
714C22⋊C4×C79C2414yes—
715C22⋊C4×C79C2414yes—
716C22⋊C4×C79C2414yes—
717C22⋊C4×C79C2414yes—
718C22⋊C4×C79C2414yes—
719C22⋊C4×C79C2414yes—
720C22⋊C4×C79C2414yes—
721C22⋊C4×C79C2414yes—
722C22⋊C4×C79C2414yes—
723C42×C79C2414yes—
724C42×C79C2414yes—
725C23×C79—22no—
726C23×C79—22no—
727C23×C79—22no—
728C23×C79—22no—
729C23×C79—22no—
730C23×C79—22no—
731C23×C79—22no—
732C23×C79—22no—
733C23×C79—22no—
734C23×C79—22no—
735C23×C79—22no—
736C23×C79—22no—
737C23×C79—24no—
738C23×C79—41no—
739C23×C79—41no—
740C23×C79—41no—
741C23×C79—41no—
742C23×C79—41no—
743C23×C79—41no—
744C23×C79—41no—
745C23×C79—41no—
746C23×C79—42no—
747C23×C79—42no—
748C23×C79—416no—
749C23×C79H(5,𝔽2)14yescomplemented
750C23×C79C2514yes—
751C23×C79C2511yescharacteristic
752C23×C79C2511yescharacteristic
753C23×C79C2511yescharacteristic
754C23×C79C2511yescharacteristic
755C23×C79C2511yescharacteristic
756C23×C79C2511yescharacteristic
757C23×C79C2511yescharacteristic
758C22×D79—24no—
759C22×D79—28no—
760C22×D79—28no—
761C22×D79—28no—
762C22×D79—42no—
763C22×D79—44no—
764C22×D79—44no—
765C22×D79—42no—
766C22×D79—44no—
767C22×D79—44no—
768C22×D79—44no—
769C22×D79—44no—
770C22×D79—48no—
771C22×D79—48no—
772C22×D79—48no—
773C22×D79—816no—
774C22×D79C2518yes—
775C22×D79C2514yes—
776Q8×C79—24no—
777Q8×C79—42no—
778D4×C79—28no—
779D4×C79—28no—
780D4×C79—28no—
781D4×C79—28no—
782D4×C79—24no—
783D4×C79—44no—
784D4×C79—42no—
785D4×C79—44no—
786C2×C4×C79—22no—
787C2×C4×C79—24no—
788C2×C4×C79—22no—
789C2×C4×C79—22no—
790C2×C4×C79—22no—
791C2×C4×C79—22no—
792C2×C4×C79—22no—
793C2×C4×C79—22no—
794C2×C4×C79—22no—
795C2×C4×C79—22no—
796C2×C4×C79—28no—
797C2×C4×C79—22no—
798C2×C4×C79—22no—
799C2×C4×C79—22no—
800C2×C4×C79—22no—
801C2×C4×C79—22no—
802C2×C4×C79—22no—
803C2×C4×C79—41no—
804C2×C4×C79—41no—
805C2×C4×C79—41no—
806C2×C4×C79—41no—
807C2×C4×C79—41no—
808C2×C4×C79—41no—
809C2×C4×C79—41no—
810C2×C4×C79—41no—
811C2×C4×C79—41no—
812C2×C4×C79—41no—
813C2×C4×C79—41no—
814C2×C4×C79—41no—
815C2×C4×C79—42no—
816C2×C4×C79—44no—
817C2×C4×C79—42no—
818C2×C4×C79H(5,𝔽2)14yescomplemented
819C2×C4×C79C2511yescharacteristic
820C2×C4×C79C2514yes—
821C2×C4×C79C2514yes—
822C2×C4×C79C2511yescharacteristic
823C2×C4×C79C2511yescharacteristic
824C2×C4×C79C2511yescharacteristic
825C2×C4×C79C2511yescharacteristic
826C2×C4×C79C2511yescharacteristic
827C2×C4×C79C2514yes—
828C2×C4×C79C2511yescharacteristic
829C2×C4×C79C2511yescharacteristic
830C22⋊D79—28no—
831C22⋊D79—28no—
832C22⋊D79—216no—
833C22⋊D79—216no—
834C22⋊D79—28no—
835C22⋊D79—28no—
836C22⋊D79—48no—
837C22⋊D79—48no—
838C22⋊D79—48no—
839C22⋊D79—48no—
840C22⋊D79—48no—
841C22⋊D79—48no—
842C22⋊D79—44no—
843C22⋊D79—44no—
844C2×Dic79—28no—
845C2×Dic79—24no—
846C2×Dic79—42no—
847C2×Dic79—44no—
848C2×Dic79—44no—
849C2×Dic79—42no—
850C2×Dic79—48no—
851C2×Dic79C2514yes—
852C2×Dic79C2514yes—
853C2×Dic79C2518yes—
854C2×Dic79C2514yes—
855D316—28no—
856D316—28no—
857D316—24no—
858D316—48no—
859D316—48no—
860D316—48no—
861D316—44no—
862D316—44no—
863D316—42no—
864C4×D79—28no—
865C4×D79—44no—
866C4×D79—48no—
867C4×D79—48no—
868C4×D79—48no—
869C4×D79—48no—
870Dic158—24no—
871Dic158—42no—
872Dic158—48no—
873C22×C79—28no—
874C22×C79—21no—
875C22×C79—21no—
876C22×C79—21no—
877C22×C79—21no—
878C22×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—24no—
888C22×C79—24no—
889C22×C79—21no—
890C22×C79—21no—
891C22×C79—24no—
892C22×C79—21no—
893C22×C79—44no—
894C22×C79—44no—
895C22×C79—44no—
896C22×C79—44no—
897C22×C79—44no—
898C22×C79—44no—
899C22×C79—84no—
900C22×C79C2×H(5,𝔽2)12yes—
901C22×C79C2×H(5,𝔽2)12yes—
902C22×C79C2×H(5,𝔽2)12yes—
903C22×C79C2×H(5,𝔽2)12yes—
904C22×C79#58512yes—
905C22×C79C2611yescharacteristic
906C2×D79—28no—
907C2×D79—24no—
908C2×D79—24no—
909C2×D79—28no—
910C2×D79—24no—
911C2×D79—28no—
912C2×D79—84no—
913C2×D79—88no—
914C2×D79—88no—
915C2×D79—88no—
916C2×D79—168no—
917C4×C79—21no—
918C4×C79—21no—
919C4×C79—21no—
920C4×C79—21no—
921C4×C79—21no—
922C4×C79—21no—
923C4×C79—24no—
924C4×C79—24no—
925C4×C79—24no—
926C4×C79C2×H(5,𝔽2)12yes—
927C4×C79C2×H(5,𝔽2)12yes—
928Dic79—28no—
929Dic79—24no—
930Dic79—24no—
931Dic79—24no—
932#62818—791nomaximal, Sylow
933C2×C79—22no—
934C2×C79—22no—
935C2×C79—22no—
936C2×C79—22no—
937C2×C79—22no—
938C2×C79—44no—
939C2×C79—41no—
940C2×C79—41no—
941C2×C79C22×H(5,𝔽2)11yescharacteristic
942C2×C79C22×H(5,𝔽2)11yescharacteristic
943C2×C79C2×#58511yescharacteristic
944D79—48no—
945D79—44no—
946#3542—794no—
947#3542—794no—
948#3537—792no—
949#3537—792no—
950#3536—792no—
951#3536—792no—
952#3534—794no—
953#3534—794no—
954#3519—794no—
955#3519—794no—
956#3505—792no—
957#3505—792no—
958#3496—792no—
959#3496—792no—
960#3494—792no—
961#3494—792no—
962#3492—792no—
963#3490—794no—
964#3488—792no—
965#3488—792no—
966#3484—792no—
967#3484—794no—
968C2×#525—791no—
969C2×#525D7911yescharacteristic, complemented
970C22×#121—791no—
971C79#6281811yescharacteristic, complemented, Sylow
972C2×H(5,𝔽2)—792no—
973C2×H(5,𝔽2)—794no—
974C22×#41—791no—
975C22×#41C2×D7911yescharacteristic, complemented
976C23×D4—792no—
977C23×D4—791no—
978C24×C4C2×D7911yescharacteristic, complemented
979#562—798no—
980#562—798no—
981#560—798no—
982#560—798no—
983#555—794no—
984#555—794no—
985#554—794no—
986#554—794no—
987#553—794no—
988#553—794no—
989#553—794no—
990#553—794no—
991#553—798no—
992#553—794no—
993#553—794no—
994#553—798no—
995#552—794no—
996#552—794no—
997#551—798no—
998#551—798no—
999#551—798no—
1000#551—798no—
1001#550—794no—
1002#550—794no—
1003#548—794no—
1004#548—794no—
1005#547—794no—
1006#547—794no—
1007#547—794no—
1008#547—794no—
1009#546—798no—
1010#546—794no—
1011#546—798no—
1012#546—794no—
1013#546—794no—
1014#546—798no—
1015#546—798no—
1016#546—798no—
1017#546—798no—
1018#546—794no—
1019#546—794no—
1020#546—798no—
1021#546—794no—
1022#546—798no—
1023#546—798no—
1024#546—798no—
1025D42—798no—
1026D42—798no—
1027D42—794no—
1028D42—794no—
1029D42—794no—
1030D42—798no—
1031D42—798no—
1032D42—794no—
1033D42—794no—
1034D42—794no—
1035#544—792no—
1036#543—794no—
1037#542—794no—
1038#542—794no—
1039#540—798no—
1040#540—794no—
1041#540—798no—
1042#540—794no—
1043#539—798no—
1044#539—794no—
1045#539—794no—
1046#538—798no—
1047#538—794no—
1048#538—794no—
1049#538—794no—
1050#538—798no—
1051#538—798no—
1052#538—794no—
1053#537—792no—
1054#537—794no—
1055#537—794no—
1056#537—794no—
1057#537—794no—
1058#535—792no—
1059#535—794no—
1060#535—794no—
1061#535—798no—
1062#535—792no—
1063#534—794no—
1064#534—798no—
1065#534—794no—
1066#534—794no—
1067#534—798no—
1068#534—794no—
1069#534—794no—
1070#532—794no—
1071#532—794no—
1072#529—794no—
1073#529—794no—
1074#525—792no—
1075#525—792no—
1076#525—792no—
1077#525—792no—
1078#525—792no—
1079#525—792no—
1080#525—792no—
1081#525—792no—
1082#525—794no—
1083#525—794no—
1084#525—798no—
1085#525C2×D7912yescomplemented
1086#525C2×D7912yescomplemented
1087#525C2×D7912yescomplemented
1088#525C2×D7912yescomplemented
1089#525C2×D7912yescomplemented
1090#525C2×D7912yescomplemented
1091#525C2×D7912yescomplemented
1092#525C2×D7912yescomplemented
1093C2×#123—792no—
1094C2×#123C2×D7912yescomplemented
1095C2×C22⋊Q8—791no—
1096C2×C22⋊Q8—791no—
1097C2×C22⋊Q8C2×D7911yescharacteristic, complemented
1098C2×C22⋊Q8C2×D7911yescharacteristic, complemented
1099C2×#121—792no—
1100C2×#121—792no—
1101C2×#121—792no—
1102C2×#121—792no—
1103C2×#121—792no—
1104C2×#121—792no—
1105C2×#121—792no—
1106C2×#121—792no—
1107C2×#121—792no—
1108C2×#121—792no—
1109C2×#121—792no—
1110C2×#121—792no—
1111C2×#121—791no—
1112C2×#121—791no—
1113C2×#121—794no—
1114C2×#121—794no—
1115C2×#121C2×D7911yescharacteristic, complemented
1116C2×#121C2×D7911yescharacteristic, complemented
1117C2×#120—792no—
1118C2×#120—798no—
1119C2×#120C2×D7912yescomplemented
1120#520—792no—
1121#520—792no—
1122#518—798no—
1123#518—792no—
1124#518—794no—
1125C2×C4×D4—792no—
1126C2×C4×D4—792no—
1127C2×C4×D4C2×D7912yescomplemented
1128C2×C4×D4C2×D7912yescomplemented
1129C2×#117—791no—
1130C2×#117C2×D7911yescharacteristic, complemented
1131C22×C4⋊C4—791no—
1132C22×C22⋊C4—792no—
1133C25—792no—
1134C25C22×D7911yescharacteristic
1135H(5,𝔽2)—31616no—
1136H(5,𝔽2)—3168no—
1137C2×#41—44no—
1138C2×#41—3164no—
1139C2×#41—794no—
1140C2×#41—798no—
1141C2×#41—798no—
1142C2×#41—792no—
1143C2×#41—792no—
1144C2×#41—792no—
1145C2×#41—794no—
1146C2×#41—798no—
1147C2×#41—792no—
1148C2×#41C22×D7912yes—
1149C2×#41C22×D7912yes—
1150C2×#41C22×D7912yescomplemented
1151C2×#41C22×D7912yescomplemented
1152C22×Q8—791no—
1153C22×Q8C22×D7911yescharacteristic, complemented
1154C22×D4—3164no—
1155C22×D4—3168no—
1156C22×D4—792no—
1157C22×D4—792no—
1158C22×D4—794no—
1159C22×D4—794no—
1160C22×D4—794no—
1161C22×D4—794no—
1162C22×D4—794no—
1163C22×D4—798no—
1164C22×D4—798no—
1165C22×D4—798no—
1166C22×D4—798no—
1167C22×D4—798no—
1168C22×D4—794no—
1169C22×D4—792no—
1170C22×D4—794no—
1171C22×D4—792no—
1172C22×D4—791no—
1173C22×D4—792no—
1174C22×D4—792no—
1175C22×D4—792no—
1176C22×D4—792no—
1177C22×D4—794no—
1178C22×D4—792no—
1179C22×D4C22×D7912yes—
1180C22×D4C22×D7912yes—
1181C22×D4C22×D7912yes—
1182C22×D4C22×D7911yescharacteristic, complemented
1183C23×C4—44no—
1184C23×C4—792no—
1185C23×C4—792no—
1186C23×C4C22×D7911yescharacteristic
1187C23×C4C22×D7911yescharacteristic
1188C23×C4C22×D7911yescharacteristic
1189C23×C4C22×D7911yescharacteristic
1190C23×C4C22×D7911yescharacteristic
1191C23×C4C22×D7911yescharacteristic
1192C23×C4C22×D7911yescharacteristic
1193C23×C4C22×D7911yescharacteristic
1194C23×C4C22×D7911yescharacteristic
1195C23×C4C22×D7911yescharacteristic
1196C23×C4C22×D7911yescharacteristic
1197C23×C4C22×D7911yescharacteristic
1198C23×C4C22×D7911yescharacteristic
1199C23×C4C22×D7911yescharacteristic
1200C23×C4C22×D7912yescomplemented
1201C4⋊Q8—794no—
1202C4⋊Q8—794no—
1203#127—794no—
1204#127—798no—
1205#127—798no—
1206#127—794no—
1207#126—798no—
1208#126—798no—
1209#126—798no—
1210#126—798no—
1211#126—798no—
1212#126—798no—
1213#125—794no—
1214#125—798no—
1215#125—798no—
1216#125—794no—
1217#124—794no—
1218#124—798no—
1219#124—798no—
1220#124—798no—
1221#124—798no—
1222#124—798no—
1223#124—794no—
1224#124—798no—
1225#123—798no—
1226#123—794no—
1227#123—794no—
1228#123—794no—
1229#123—794no—
1230#123—798no—
1231#123—798no—
1232#123—798no—
1233#123—798no—
1234#123—798no—
1235#123—798no—
1236#123—798no—
1237#123—798no—
1238#123—798no—
1239#123—798no—
1240#123—798no—
1241#123—798no—
1242#123—798no—
1243#123—798no—
1244#123—798no—
1245#123C22×D7914yes—
1246#123C22×D7914yes—
1247#123C22×D7914yescomplemented
1248#123C22×D7914yescomplemented
1249C22⋊Q8—794no—
1250C22⋊Q8—798no—
1251C22⋊Q8—792no—
1252C22⋊Q8—792no—
1253C22⋊Q8—792no—
1254C22⋊Q8—792no—
1255C22⋊Q8—792no—
1256C22⋊Q8—792no—
1257C22⋊Q8—792no—
1258C22⋊Q8—792no—
1259C22⋊Q8—794no—
1260C22⋊Q8—798no—
1261C22⋊Q8—798no—
1262C22⋊Q8—798no—
1263C22⋊Q8—798no—
1264C22⋊Q8—798no—
1265C22⋊Q8—798no—
1266C22⋊Q8—798no—
1267C22⋊Q8C22×D7912yes—
1268C22⋊Q8C22×D7912yes—
1269C22⋊Q8C22×D7912yes—
1270C22⋊Q8C22×D7912yes—
1271C22⋊Q8C22×D7912yescomplemented
1272C22⋊Q8C22×D7912yescomplemented
1273C22⋊Q8C22×D7912yescomplemented
1274C22⋊Q8C22×D7912yescomplemented
1275#121—798no—
1276#121—794no—
1277#121—798no—
1278#121—798no—
1279#121—798no—
1280#121—798no—
1281#121—798no—
1282#121—798no—
1283#121—798no—
1284#121—798no—
1285#121—794no—
1286#121—794no—
1287#121—792no—
1288#121—794no—
1289#121—794no—
1290#121—794no—
1291#121—794no—
1292#121—794no—
1293#121—794no—
1294#121—794no—
1295#121—794no—
1296#121—794no—
1297#121—794no—
1298#121—794no—
1299#121—794no—
1300#121—794no—
1301#121—794no—
1302#121—792no—
1303#121—792no—
1304#121—792no—
1305#121—792no—
1306#121—792no—
1307#121—792no—
1308#121—792no—
1309#121—798no—
1310#121—794no—
1311#121—794no—
1312#121—798no—
1313#121—794no—
1314#121—798no—
1315#121—794no—
1316#121—794no—
1317#121—798no—
1318#121—798no—
1319#121—798no—
1320#121—798no—
1321#121—798no—
1322#121—798no—
1323#121—798no—
1324#121—798no—
1325#121—798no—
1326#121—798no—
1327#121C22×D7912yes—
1328#121C22×D7912yes—
1329#121C22×D7912yes—
1330#121C22×D7912yes—
1331#121C22×D7912yescomplemented
1332#121C22×D7912yescomplemented
1333#121C22×D7912yescomplemented
1334#121C22×D7912yescomplemented
1335#120—794no—
1336#120—794no—
1337#120—794no—
1338#120—794no—
1339#120—798no—
1340#120—798no—
1341#120—798no—
1342#120—798no—
1343#120—798no—
1344#120—798no—
1345#120—798no—
1346#120—798no—
1347#120—798no—
1348#120—798no—
1349#120—798no—
1350#120—798no—
1351#120—798no—
1352#120—798no—
1353#120C22×D7914yes—
1354#120C22×D7914yes—
1355#120C22×D7914yes—
1356#120C22×D7914yes—
1357C4×Q8—794no—
1358C4×Q8—794no—
1359C4×D4—798no—
1360C4×D4—798no—
1361C4×D4—794no—
1362C4×D4—794no—
1363C4×D4—794no—
1364C4×D4—794no—
1365C4×D4—794no—
1366C4×D4—794no—
1367C4×D4—794no—
1368C4×D4—794no—
1369C4×D4—794no—
1370C4×D4—798no—
1371C4×D4—798no—
1372C4×D4—798no—
1373C4×D4—798no—
1374C4×D4—794no—
1375C4×D4—794no—
1376C4×D4—798no—
1377C4×D4—798no—
1378C4×D4—798no—
1379C4×D4—798no—
1380C4×D4—798no—
1381C4×D4—794no—
1382C4×D4—798no—
1383C4×D4—794no—
1384C4×D4—794no—
1385C4×D4C22×D7914yes—
1386C4×D4C22×D7914yes—
1387C4×D4C22×D7914yes—
1388C4×D4C22×D7914yes—
1389C4×D4C22×D7914yescomplemented
1390C4×D4C22×D7914yescomplemented
1391C4×D4C22×D7914yescomplemented
1392C4×D4C22×D7914yescomplemented
1393#117—792no—
1394#117—792no—
1395#117—792no—
1396#117—792no—
1397#117—794no—
1398#117—798no—
1399#117—794no—
1400#117—798no—
1401#117—798no—
1402#117C22×D7912yes—
1403#117C22×D7912yes—
1404#117C22×D7912yescomplemented
1405#117C22×D7912yescomplemented
1406C2×C4⋊C4—792no—
1407C2×C4⋊C4—792no—
1408C2×C4⋊C4—792no—
1409C2×C4⋊C4—792no—
1410C2×C4⋊C4—792no—
1411C2×C4⋊C4—792no—
1412C2×C4⋊C4—791no—
1413C2×C4⋊C4—791no—
1414C2×C4⋊C4—792no—
1415C2×C4⋊C4—792no—
1416C2×C4⋊C4—794no—
1417C2×C4⋊C4—794no—
1418C2×C4⋊C4C22×D7911yescharacteristic, complemented
1419C2×C4⋊C4C22×D7911yescharacteristic, complemented
1420C2×C4⋊C4C22×D7912yescomplemented
1421C2×C4⋊C4C22×D7912yescomplemented
1422C2×C22⋊C4—792no—
1423C2×C22⋊C4—792no—
1424C2×C22⋊C4—792no—
1425C2×C22⋊C4—794no—
1426C2×C22⋊C4—794no—
1427C2×C22⋊C4—794no—
1428C2×C22⋊C4—794no—
1429C2×C22⋊C4—794no—
1430C2×C22⋊C4—794no—
1431C2×C22⋊C4—792no—
1432C2×C22⋊C4—792no—
1433C2×C22⋊C4—798no—
1434C2×C22⋊C4—798no—
1435C2×C22⋊C4—798no—
1436C2×C22⋊C4—798no—
1437C2×C22⋊C4—798no—
1438C2×C22⋊C4C22×D7912yes—
1439C2×C22⋊C4C22×D7912yes—
1440C2×C22⋊C4C22×D7912yes—
1441C2×C22⋊C4C22×D7912yescomplemented
1442C2×C22⋊C4C22×D7912yescomplemented
1443C2×C42—792no—
1444C2×C42C22×D7912yescomplemented
1445C24—24no—
1446C24—42no—
1447C24—42no—
1448C24—3164no—
1449C24—3164no—
1450C24—3164no—
1451C24—798no—
1452C24—794no—
1453C24—794no—
1454C24—794no—
1455C24—792no—
1456C24C23×D7911yescharacteristic
1457C24C23×D7911yescharacteristic
1458C24C23×D7911yescharacteristic
1459C24C23×D7911yescharacteristic
1460C24C23×D7911yescharacteristic
1461C24C23×D7912yes—
1462C24C23×D7911yescharacteristic
1463C24C23×D7911yescharacteristic
1464#41—28no—
1465#41—44no—
1466#41—44no—
1467#41—44no—
1468#41—3164no—
1469#41—3168no—
1470#41—3164no—
1471#41—31616no—
1472#41—3164no—
1473#41—31616no—
1474#41—31616no—
1475#41—3168no—
1476#41—1588no—
1477C2×Q8—42no—
1478C2×Q8—3162no—
1479C2×Q8—792no—
1480C2×Q8—798no—
1481C2×Q8—792no—
1482C2×Q8C23×D7912yes—
1483C2×Q8C23×D7912yes—
1484C2×D4—28no—
1485C2×D4—42no—
1486C2×D4—44no—
1487C2×D4—44no—
1488C2×D4—3164no—
1489C2×D4—3164no—
1490C2×D4—3164no—
1491C2×D4—3164no—
1492C2×D4—3164no—
1493C2×D4—3162no—
1494C2×D4—3168no—
1495C2×D4—31616no—
1496C2×D4—31616no—
1497C2×D4—31616no—
1498C2×D4—31616no—
1499C2×D4—3168no—
1500C2×D4—3168no—
1501C2×D4—3168no—
1502C2×D4—3168no—
1503C2×D4—3164no—
1504C2×D4—3164no—
1505C2×D4—31616no—
1506C2×D4—3168no—
1507C2×D4—3168no—
1508C2×D4—798no—
1509C2×D4—794no—
1510C2×D4—794no—
1511C2×D4—798no—
1512C2×D4—798no—
1513C2×D4—798no—
1514C2×D4—798no—
1515C2×D4—798no—
1516C2×D4—794no—
1517C2×D4—794no—
1518C2×D4—794no—
1519C2×D4—794no—
1520C2×D4—798no—
1521C2×D4—798no—
1522C2×D4—798no—
1523C2×D4—792no—
1524C2×D4—798no—
1525C2×D4—798no—
1526C2×D4—794no—
1527C2×D4—794no—
1528C2×D4—794no—
1529C2×D4—794no—
1530C2×D4—792no—
1531C2×D4—15816no—
1532C2×D4—1588no—
1533C2×D4—1588no—
1534C2×D4C23×D7914yes—
1535C2×D4C23×D7914yes—
1536C2×D4C23×D7912yes—
1537C2×D4C23×D7914yes—
1538C2×D4C23×D7914yes—
1539C2×D4C23×D7914yes—
1540C2×D4C23×D7912yes—
1541C2×D4C23×D7914yes—
1542C22×C4—24no—
1543C22×C4—24no—
1544C22×C4—24no—
1545C22×C4—42no—
1546C22×C4—42no—
1547C22×C4—42no—
1548C22×C4—42no—
1549C22×C4—42no—
1550C22×C4—42no—
1551C22×C4—42no—
1552C22×C4—42no—
1553C22×C4—44no—
1554C22×C4—42no—
1555C22×C4—42no—
1556C22×C4—42no—
1557C22×C4—3164no—
1558C22×C4—3164no—
1559C22×C4—792no—
1560C22×C4—792no—
1561C22×C4—794no—
1562C22×C4—794no—
1563C22×C4—798no—
1564C22×C4—798no—
1565C22×C4—794no—
1566C22×C4—798no—
1567C22×C4—798no—
1568C22×C4—798no—
1569C22×C4—792no—
1570C22×C4—794no—
1571C22×C4—794no—
1572C22×C4C23×D7911yescharacteristic
1573C22×C4C23×D7911yescharacteristic
1574C22×C4C23×D7912yes—
1575C22×C4C23×D7911yescharacteristic
1576C22×C4C23×D7911yescharacteristic
1577C22×C4C23×D7911yescharacteristic
1578C22×C4C23×D7911yescharacteristic
1579C22×C4C23×D7911yescharacteristic
1580C22×C4C23×D7911yescharacteristic
1581C22×C4C23×D7911yescharacteristic
1582C22×C4C23×D7911yescharacteristic
1583C22×C4C23×D7914yes—
1584C22×C4C23×D7911yescharacteristic
1585C22×C4C23×D7911yescharacteristic
1586C22×C4C23×D7911yescharacteristic
1587C22×C4C23×D7911yescharacteristic
1588C22×C4C23×D7911yescharacteristic
1589C22×C4C23×D7912yes—
1590C22×C4C23×D7911yescharacteristic
1591C22×C4C23×D7911yescharacteristic
1592C22×C4C23×D7911yescharacteristic
1593C22×C4C23×D7911yescharacteristic
1594C22×C4C23×D7911yescharacteristic
1595C22×C4C23×D7911yescharacteristic
1596C22×C4C23×D7914yes—
1597C22×C4C23×D7912yes—
1598C22×C4C23×D7911yescharacteristic
1599C22×C4C23×D7911yescharacteristic
1600C22×C4C23×D7911yescharacteristic
1601C22×C4C23×D7911yescharacteristic
1602C22×C4C23×D7911yescharacteristic
1603C22×C4C23×D7911yescharacteristic
1604C22×C4C23×D7911yescharacteristic
1605C4⋊C4—794no—
1606C4⋊C4—794no—
1607C4⋊C4—794no—
1608C4⋊C4—794no—
1609C4⋊C4—798no—
1610C4⋊C4—798no—
1611C4⋊C4—798no—
1612C4⋊C4—798no—
1613C4⋊C4—794no—
1614C4⋊C4—794no—
1615C4⋊C4—792no—
1616C4⋊C4—794no—
1617C4⋊C4—794no—
1618C4⋊C4—792no—
1619C4⋊C4—792no—
1620C4⋊C4—792no—
1621C4⋊C4—798no—
1622C4⋊C4—798no—
1623C4⋊C4C23×D7912yes—
1624C4⋊C4C23×D7912yes—
1625C4⋊C4C23×D7914yes—
1626C4⋊C4C23×D7912yes—
1627C4⋊C4C23×D7912yes—
1628C4⋊C4C23×D7914yes—
1629C4⋊C4C23×D7914yes—
1630C4⋊C4C23×D7914yes—
1631C22⋊C4—794no—
1632C22⋊C4—794no—
1633C22⋊C4—794no—
1634C22⋊C4—794no—
1635C22⋊C4—794no—
1636C22⋊C4—798no—
1637C22⋊C4—794no—
1638C22⋊C4—798no—
1639C22⋊C4—798no—
1640C22⋊C4—798no—
1641C22⋊C4—794no—
1642C22⋊C4—798no—
1643C22⋊C4—798no—
1644C22⋊C4—798no—
1645C22⋊C4—798no—
1646C22⋊C4—798no—
1647C22⋊C4—798no—
1648C22⋊C4—798no—
1649C22⋊C4—798no—
1650C22⋊C4—798no—
1651C22⋊C4—794no—
1652C22⋊C4—794no—
1653C22⋊C4—794no—
1654C22⋊C4—798no—
1655C22⋊C4C23×D7914yes—
1656C22⋊C4C23×D7914yes—
1657C22⋊C4C23×D7914yes—
1658C22⋊C4C23×D7914yes—
1659C22⋊C4C23×D7914yes—
1660C22⋊C4C23×D7914yes—
1661C22⋊C4C23×D7914yes—
1662C22⋊C4C23×D7914yes—
1663C22⋊C4C23×D7914yes—
1664C22⋊C4C23×D7914yes—
1665C42—794no—
1666C42—794no—
1667C42—798no—
1668C42—798no—
1669C42C23×D7914yes—
1670C42C23×D7914yes—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—22no—
1680C23—22no—
1681C23—22no—
1682C23—22no—
1683C23—24no—
1684C23—41no—
1685C23—41no—
1686C23—41no—
1687C23—41no—
1688C23—41no—
1689C23—41no—
1690C23—41no—
1691C23—41no—
1692C23—42no—
1693C23—42no—
1694C23—416no—
1695C23—3162no—
1696C23—3164no—
1697C23—3164no—
1698C23—3164no—
1699C23—3164no—
1700C23—3162no—
1701C23—3164no—
1702C23—3164no—
1703C23—3168no—
1704C23—3168no—
1705C23—3168no—
1706C23—798no—
1707C23—794no—
1708C23—63216no—
1709C23—1588no—
1710C23—1584no—
1711C23—1588no—
1712C23—1588no—
1713C23#1457920714yescomplemented
1714C23C24×D7914yes—
1715C23C24×D7911yescharacteristic
1716C23C24×D7911yescharacteristic
1717C23C24×D7911yescharacteristic
1718C23C24×D7911yescharacteristic
1719C23C24×D7911yescharacteristic
1720C23C24×D7911yescharacteristic
1721C23C24×D7911yescharacteristic
1722Q8—24no—
1723Q8—42no—
1724Q8—3162no—
1725Q8—3168no—
1726Q8—1584no—
1727D4—28no—
1728D4—28no—
1729D4—28no—
1730D4—28no—
1731D4—24no—
1732D4—44no—
1733D4—42no—
1734D4—44no—
1735D4—3164no—
1736D4—3164no—
1737D4—3168no—
1738D4—3168no—
1739D4—3162no—
1740D4—3168no—
1741D4—3168no—
1742D4—3168no—
1743D4—3168no—
1744D4—3168no—
1745D4—3168no—
1746D4—3168no—
1747D4—3164no—
1748D4—3164no—
1749D4—1588no—
1750D4—15816no—
1751D4—15816no—
1752D4—1588no—
1753D4—1588no—
1754D4—1588no—
1755D4—1588no—
1756D4—1588no—
1757D4—1584no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—24no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—28no—
1775C2×C4—41no—
1776C2×C4—41no—
1777C2×C4—41no—
1778C2×C4—41no—
1779C2×C4—41no—
1780C2×C4—41no—
1781C2×C4—41no—
1782C2×C4—41no—
1783C2×C4—41no—
1784C2×C4—41no—
1785C2×C4—41no—
1786C2×C4—41no—
1787C2×C4—42no—
1788C2×C4—44no—
1789C2×C4—42no—
1790C2×C4—3164no—
1791C2×C4—3168no—
1792C2×C4—3168no—
1793C2×C4—3168no—
1794C2×C4—3168no—
1795C2×C4—3164no—
1796C2×C4—3164no—
1797C2×C4—3162no—
1798C2×C4—3168no—
1799C2×C4—3162no—
1800C2×C4—794no—
1801C2×C4—794no—
1802C2×C4—794no—
1803C2×C4—798no—
1804C2×C4—1588no—
1805C2×C4—1584no—
1806C2×C4—1588no—
1807C2×C4#1457920614yescomplemented
1808C2×C4C24×D7911yescharacteristic
1809C2×C4C24×D7914yes—
1810C2×C4C24×D7914yes—
1811C2×C4C24×D7911yescharacteristic
1812C2×C4C24×D7914yes—
1813C2×C4C24×D7911yescharacteristic
1814C2×C4C24×D7911yescharacteristic
1815C2×C4C24×D7911yescharacteristic
1816C2×C4C24×D7911yescharacteristic
1817C2×C4C24×D7911yescharacteristic
1818C2×C4C24×D7911yescharacteristic
1819C22—28no—
1820C22—21no—
1821C22—21no—
1822C22—21no—
1823C22—21no—
1824C22—21no—
1825C22—21no—
1826C22—21no—
1827C22—21no—
1828C22—21no—
1829C22—21no—
1830C22—21no—
1831C22—21no—
1832C22—24no—
1833C22—24no—
1834C22—21no—
1835C22—21no—
1836C22—24no—
1837C22—21no—
1838C22—21no—
1839C22—44no—
1840C22—44no—
1841C22—44no—
1842C22—44no—
1843C22—44no—
1844C22—44no—
1845C22—84no—
1846C22—6328no—
1847C22—6328no—
1848C22—6328no—
1849C22—6324no—
1850C22—1584no—
1851C22—1588no—
1852C22—1584no—
1853C22—1588no—
1854C22—1588no—
1855C22—1584no—
1856C22—12648no—
1857C22C2×#1457920612yes—
1858C22C2×#1457920712yes—
1859C22C2×#1457920712yes—
1860C22C2×#1457920712yes—
1861C22#1909939912yes—
1862C22C25×D7911yescharacteristic
1863C4—21no—
1864C4—21no—
1865C4—21no—
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—24no—
1870C4—24no—
1871C4—24no—
1872C4—1584no—
1873C4—1588no—
1874C4—1584no—
1875C4—1584no—
1876C4C2×#1457920612yes—
1877C4C2×#1457920612yes—
1878C2—22no—
1879C2—22no—
1880C2—22no—
1881C2—22no—
1882C2—22no—
1883C2—41no—
1884C2—41no—
1885C2—44no—
1886C2—3168no—
1887C2—3164no—
1888C2C22×#1457920611yescharacteristic
1889C2C22×#1457920711yescharacteristic
1890C2C2×#1909939911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC2×#525×C79C2
hypercenterC2×#525D79
hypocenterC79#62818
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. #23777716C2semidirect
2. #23777708C2semidirect
3. #23777639C2semidirect
4. #23777635C2semidirect
5. #23777629C2semidirect
6. #23777627C2semidirect
7. #23777594C2semidirect
8. #23777584C2semidirect
9. #23777432C2semidirect
10. #23777420C2semidirect
11. #23777241C2semidirect
12. #23777239C2semidirect
13. #23777164C2semidirect
14. #23777157C2semidirect
15. #23777137C2semidirect
16. #23777135C2semidirect
17. #23777106C2semidirect
18. #23777083C2semidirect
19. #23777069C2semidirect
20. #23777061C2semidirect
21. #23777033C2semidirect
22. #23777029C2semidirect
23. C2×#19099074C2semidirect
24. C22×#14579135C2semidirect
25. C2×#525×C79C2semidirect
26. C2×#14579207C22semidirect
27. C2×#14579206C22semidirect
28. C22×#11929624C22semidirect
29. C23×D316C22semidirect
30. C23×C22⋊D79C22semidirect
31. #19099310C22semidirect
32. #19099309C22semidirect
33. #19099303C22semidirect
34. #19099301C22semidirect
35. #19099278C22semidirect
36. #19099276C22semidirect
37. #19099271C22semidirect
38. #19099270C22semidirect
39. #19099265C22semidirect
40. #19099262C22semidirect
41. #19099261C22semidirect
42. #19099261C22semidirect
43. #19099259C22semidirect
44. #19099259C22semidirect
45. #19099259C22semidirect
46. #19099257C22semidirect
47. #19099255C22semidirect
48. #19099253C22semidirect
49. #19099242C22semidirect
50. #19099240C22semidirect
51. #19099237C22semidirect
52. #19099236C22semidirect
53. #19099234C22semidirect
54. #19099232C22semidirect
55. #19099224C22semidirect
56. #19099222C22semidirect
57. #19099217C22semidirect
58. #19099217C22semidirect
59. #19099214C22semidirect
60. #19099213C22semidirect
61. #19099209C22semidirect
62. #19099209C22semidirect
63. #19099209C22semidirect
64. #19099208C22semidirect
65. #19099208C22semidirect
66. #19099205C22semidirect
67. #19099204C22semidirect
68. #19099204C22semidirect
69. #19099203C22semidirect
70. #19099203C22semidirect
71. #19099203C22semidirect
72. #19099202C22semidirect
73. #19099201C22semidirect
74. #19099201C22semidirect
75. #19099200C22semidirect
76. #19099200C22semidirect
77. D4×D316C22semidirect
78. D4×D316C22semidirect
79. D4×D316C22semidirect
80. #19099197C22semidirect
81. #19099197C22semidirect
82. D4×C22⋊D79C22semidirect
83. D4×C22⋊D79C22semidirect
84. D4×C22⋊D79C22semidirect
85. #19099195C22semidirect
86. #19099195C22semidirect
87. #19099191C22semidirect
88. #19099188C22semidirect
89. #19099186C22semidirect
90. #19099184C22semidirect
91. #19099168C22semidirect
92. #19099166C22semidirect
93. #19099165C22semidirect
94. #19099164C22semidirect
95. #19099162C22semidirect
96. #19099160C22semidirect
97. #19099157C22semidirect
98. #19099153C22semidirect
99. #19099153C22semidirect
100. #19099151C22semidirect
101. #19099150C22semidirect
102. #19099149C22semidirect
103. #19099146C22semidirect
104. #19099146C22semidirect
105. #19099144C22semidirect
106. #19099143C22semidirect
107. #19099141C22semidirect
108. #19099141C22semidirect
109. #19099140C22semidirect
110. #19099132C22semidirect
111. #19099129C22semidirect
112. #19099128C22semidirect
113. #19099127C22semidirect
114. #19099127C22semidirect
115. #19099125C22semidirect
116. #19099125C22semidirect
117. #19099124C22semidirect
118. #19099123C22semidirect
119. #19099122C22semidirect
120. #19099121C22semidirect
121. #19099121C22semidirect
122. #19099113C22semidirect
123. #19099108C22semidirect
124. #19099099C22semidirect
125. #19099097C22semidirect
126. #19099076C22semidirect
127. #19099074C22semidirect
128. #19099074C22semidirect
129. #19099074C22semidirect
130. #19099074C22semidirect
131. #19099074C22semidirect
132. #19099074C22semidirect
133. #19099074C22semidirect
134. #19099074C22semidirect
135. #19099074C22semidirect
136. #19099069C22semidirect
137. C2×#14579144C22semidirect
138. C2×#14579140C22semidirect
139. C2×#14579140C22semidirect
140. C2×#14579135C22semidirect
141. C2×#14579135C22semidirect
142. C2×#14579135C22semidirect
143. C2×#14579135C22semidirect
144. C2×#14579135C22semidirect
145. C2×#14579135C22semidirect
146. C2×#14579135C22semidirect
147. C2×#14579135C22semidirect
148. C2×#14579135C22semidirect
149. C2×#14579135C22semidirect
150. C2×#14579135C22semidirect
151. C2×#14579135C22semidirect
152. C2×#14579135C22semidirect
153. C2×#14579135C22semidirect
154. C2×#14579135C22semidirect
155. #121×D79C22semidirect
156. C2×#14579130C22semidirect
157. #120×D79C22semidirect
158. #19099046C22semidirect
159. #19099043C22semidirect
160. #19099037C22semidirect
161. #19099036C22semidirect
162. #19099035C22semidirect
163. C2×C4×C22⋊D79C22semidirect
164. C2×C4×C22⋊D79C22semidirect
165. C2×#14579120C22semidirect
166. C22×C4⋊Dic79C22semidirect
167. C22×(C2×D79)⋊C4C22semidirect
168. C22×#41×C79C22semidirect
169. C24×C4×C79C22semidirect
170. #525×C79C22semidirect
171. #525×C79C22semidirect
172. #525×C79C22semidirect
173. #525×C79C22semidirect
174. #525×C79C22semidirect
175. #525×C79C22semidirect
176. #525×C79C22semidirect
177. #525×C79C22semidirect
178. C2×#123×C79C22semidirect
179. C2×C22⋊Q8×C79C22semidirect
180. C2×C22⋊Q8×C79C22semidirect
181. C2×#121×C79C22semidirect
182. C2×#121×C79C22semidirect
183. C2×#120×C79C22semidirect
184. C2×C4×D4×C79C22semidirect
185. C2×C4×D4×C79C22semidirect
186. C2×#117×C79C22semidirect
190. C2×#11929625C23semidirect
194. C2×#11929624C23semidirect
195. C2×#11929624C23semidirect
196. C2×#11929624C23semidirect
197. C2×#11929624C23semidirect
199. C2×#11929623C23semidirect
200. C22×Dic158C23semidirect
208. C22×D316C23semidirect
209. C22×D316C23semidirect
220. C22×C22⋊D79C23semidirect
224. C2×D4×D79C23semidirect
225. C2×D4×D79C23semidirect
227. C22×C4×D79C23semidirect
228. #14579161C23semidirect
229. #14579160C23semidirect
230. #14579158C23semidirect
231. #14579157C23semidirect
232. #14579157C23semidirect
233. #14579157C23semidirect
234. #14579156C23semidirect
235. #14579156C23semidirect
236. #14579156C23semidirect
237. #14579156C23semidirect
238. #14579155C23semidirect
239. #14579154C23semidirect
240. #14579153C23semidirect
241. #14579152C23semidirect
242. #14579152C23semidirect
243. #14579151C23semidirect
244. #14579150C23semidirect
245. #14579150C23semidirect
246. #14579149C23semidirect
247. #14579149C23semidirect
248. #14579147C23semidirect
249. #14579147C23semidirect
250. #14579147C23semidirect
251. #14579147C23semidirect
252. #14579146C23semidirect
253. #14579146C23semidirect
254. #14579146C23semidirect
255. #14579146C23semidirect
256. #14579146C23semidirect
258. #14579145C23semidirect
259. #14579145C23semidirect
260. #14579145C23semidirect
263. #14579144C23semidirect
264. #14579144C23semidirect
265. #14579144C23semidirect
266. #14579144C23semidirect
267. #14579143C23semidirect
268. #14579143C23semidirect
269. #14579143C23semidirect
270. #14579143C23semidirect
272. #14579141C23semidirect
273. #14579141C23semidirect
278. #14579140C23semidirect
279. #14579140C23semidirect
280. #14579140C23semidirect
281. #14579140C23semidirect
282. #14579140C23semidirect
283. #14579139C23semidirect
284. #14579139C23semidirect
287. #14579138C23semidirect
288. #14579137C23semidirect
289. #14579137C23semidirect
290. #14579136C23semidirect
291. #14579136C23semidirect
292. #14579136C23semidirect
293. #14579136C23semidirect
294. #14579136C23semidirect
315. #14579135C23semidirect
316. #14579135C23semidirect
317. #14579135C23semidirect
318. #14579135C23semidirect
319. #14579135C23semidirect
320. #14579135C23semidirect
321. #14579135C23semidirect
322. #14579135C23semidirect
323. #14579135C23semidirect
324. #14579135C23semidirect
325. #14579134C23semidirect
326. #14579134C23semidirect
327. #14579134C23semidirect
328. #14579134C23semidirect
329. #14579134C23semidirect
330. #14579134C23semidirect
331. #14579134C23semidirect
334. #14579133C23semidirect
335. #14579133C23semidirect
336. #14579133C23semidirect
337. #14579133C23semidirect
338. #14579133C23semidirect
339. #14579132C23semidirect
340. #14579132C23semidirect
341. #14579132C23semidirect
345. #14579131C23semidirect
346. #14579131C23semidirect
347. #14579131C23semidirect
348. #14579131C23semidirect
353. #14579130C23semidirect
357. #14579129C23semidirect
358. #14579129C23semidirect
359. #14579129C23semidirect
360. Q8×Dic79C23semidirect
361. C4×Dic158C23semidirect
362. C4×D316C23semidirect
363. C4×D316C23semidirect
364. C4×D316C23semidirect
365. C4×D316C23semidirect
368. D4×Dic79C23semidirect
369. #14579123C23semidirect
370. #14579123C23semidirect
371. #14579123C23semidirect
376. C4×C22⋊D79C23semidirect
377. C4×C22⋊D79C23semidirect
378. C4×C22⋊D79C23semidirect
379. C4×C22⋊D79C23semidirect
380. C4×C22⋊D79C23semidirect
381. C4×C22⋊D79C23semidirect
382. C4×C22⋊D79C23semidirect
385. (C22⋊D79)⋊C4C23semidirect
386. (C22⋊D79)⋊C4C23semidirect
387. (C22⋊D79)⋊C4C23semidirect
390. #14579120C23semidirect
391. #14579120C23semidirect
392. #14579120C23semidirect
393. #14579119C23semidirect
394. #14579119C23semidirect
395. #14579118C23semidirect
403. C2×C4⋊Dic79C23semidirect
404. C2×C4⋊Dic79C23semidirect
405. C2×C4⋊Dic79C23semidirect
406. C2×Dic79⋊C4C23semidirect
407. C2×Dic79⋊C4C23semidirect
408. C4⋊C4×D79C23semidirect
418. C2×(C2×D79)⋊C4C23semidirect
419. C2×(C2×D79)⋊C4C23semidirect
420. C2×(C2×D79)⋊C4C23semidirect
424. C22⋊C4×D79C23semidirect
425. C2×C4×Dic79C23semidirect
430. C2×#41×C79C23semidirect
431. C2×#41×C79C23semidirect
432. C22×Q8×C79C23semidirect
436. C22×D4×C79C23semidirect
452. C23×C4×C79C23semidirect
455. #123×C79C23semidirect
456. #123×C79C23semidirect
461. C22⋊Q8×C79C23semidirect
462. C22⋊Q8×C79C23semidirect
463. C22⋊Q8×C79C23semidirect
464. C22⋊Q8×C79C23semidirect
469. #121×C79C23semidirect
470. #121×C79C23semidirect
471. #121×C79C23semidirect
472. #121×C79C23semidirect
481. C4×D4×C79C23semidirect
482. C4×D4×C79C23semidirect
483. C4×D4×C79C23semidirect
484. C4×D4×C79C23semidirect
487. #117×C79C23semidirect
488. #117×C79C23semidirect
489. C2×C4⋊C4×C79C23semidirect
490. C2×C4⋊C4×C79C23semidirect
491. C2×C4⋊C4×C79C23semidirect
492. C2×C4⋊C4×C79C23semidirect
496. C2×C22⋊C4×C79C23semidirect
497. C2×C22⋊C4×C79C23semidirect
498. C2×C42×C79C23semidirect
749. C23×C79H(5,𝔽2)semidirect
818. C2×C4×C79H(5,𝔽2)semidirect
969. C2×#525D79semidirect
971. C79#62818semidirect
975. C22×#41C2×D79semidirect
978. C24×C4C2×D79semidirect
1085. #525C2×D79semidirect
1086. #525C2×D79semidirect
1087. #525C2×D79semidirect
1088. #525C2×D79semidirect
1089. #525C2×D79semidirect
1090. #525C2×D79semidirect
1091. #525C2×D79semidirect
1092. #525C2×D79semidirect
1094. C2×#123C2×D79semidirect
1097. C2×C22⋊Q8C2×D79semidirect
1098. C2×C22⋊Q8C2×D79semidirect
1115. C2×#121C2×D79semidirect
1116. C2×#121C2×D79semidirect
1119. C2×#120C2×D79semidirect
1127. C2×C4×D4C2×D79semidirect
1128. C2×C4×D4C2×D79semidirect
1130. C2×#117C2×D79semidirect
1150. C2×#41C22×D79semidirect
1151. C2×#41C22×D79semidirect
1153. C22×Q8C22×D79semidirect
1182. C22×D4C22×D79semidirect
1200. C23×C4C22×D79semidirect
1247. #123C22×D79semidirect
1248. #123C22×D79semidirect
1271. C22⋊Q8C22×D79semidirect
1272. C22⋊Q8C22×D79semidirect
1273. C22⋊Q8C22×D79semidirect
1274. C22⋊Q8C22×D79semidirect
1331. #121C22×D79semidirect
1332. #121C22×D79semidirect
1333. #121C22×D79semidirect
1334. #121C22×D79semidirect
1389. C4×D4C22×D79semidirect
1390. C4×D4C22×D79semidirect
1391. C4×D4C22×D79semidirect
1392. C4×D4C22×D79semidirect
1404. #117C22×D79semidirect
1405. #117C22×D79semidirect
1418. C2×C4⋊C4C22×D79semidirect
1419. C2×C4⋊C4C22×D79semidirect
1420. C2×C4⋊C4C22×D79semidirect
1421. C2×C4⋊C4C22×D79semidirect
1441. C2×C22⋊C4C22×D79semidirect
1442. C2×C22⋊C4C22×D79semidirect
1444. C2×C42C22×D79semidirect
1713. C23#14579207semidirect
1807. C2×C4#14579206semidirect

Maximal subgroups

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

subgroupindex
#237777162
#237777082
#237776392
#237776352
#237776292
#237776272
#237775942
#237775842
#237774322
#237774202
#237772412
#237772392
#237771642
#237771572
#237771372
#237771352
#237771062
#237770832
#237770692
#237770612
#237770332
#237770292
C2×#190990742
C22×#145791352
C2×#525×C792
#6281879