Finite Group Databasebeta

← #35197240

Subgroups — #35197240

Order 20224.

6518 conjugacy classes of subgroups.

The subgroup lattice has 1844 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778041C214yesmaximal, complemented
2#23778033C214yesmaximal, complemented
3#23777889C212yesmaximal, complemented
4#23777884C212yesmaximal, complemented
5#23777790C212yesmaximal, complemented
6#23777785C212yesmaximal, complemented
7#23777698C214yesmaximal, complemented
8#23777694C214yesmaximal, complemented
9#23777418C212yesmaximal, complemented
10#23777412C212yesmaximal, complemented
11#23777394C214yesmaximal, complemented
12#23777390C214yesmaximal, complemented
13#23777381C212yesmaximal, complemented
14#23777377C212yesmaximal, complemented
15#23777317C212yesmaximal, complemented
16#23777313C212yesmaximal, complemented
17#23777313C211yesmaximal, characteristic, complemented
18#23777312C212yesmaximal, complemented
19#23777311C211yesmaximal, characteristic, complemented
20#23777284C212yesmaximal, complemented
21#23777279C212yesmaximal, complemented
22#23777223C212yesmaximal, complemented
23#23777212C211yesmaximal, characteristic, complemented
24#23777121C212yesmaximal, complemented
25#23777113C212yesmaximal, complemented
26#23776697C211yesmaximal, characteristic, complemented
27#23776693C211yesmaximal, characteristic, complemented
28C2×#19099118C211yesmaximal, characteristic, complemented
29C79×#3503C211yesmaximal, characteristic, complemented
30#19099317C2218yes—
31#19099312C2218yes—
32#19099309C2218yes—
33#19099309C2218yes—
34Q8×Dic158C2212yescomplemented
35#19099291C2212yescomplemented
36#19099290C2214yescomplemented
37#19099289C2214yescomplemented
38#19099288C2214yescomplemented
39#19099288C2214yescomplemented
40#19099287C2214yes—
41#19099287C2214yes—
42#19099287C2214yes—
43#19099287C2214yescomplemented
44#19099287C2212yescomplemented
45#19099287C2218yescomplemented
46#19099286C2214yes—
47#19099286C2212yescomplemented
48#19099285C2214yescomplemented
49#19099284C2214yes—
50#19099284C2218yescomplemented
51#19099281C2214yes—
52#19099279C2214yes—
53#19099279C2214yes—
54#19099279C2212yescomplemented
55#19099278C2214yes—
56#19099278C2212yescomplemented
57#19099276C2214yes—
58#19099274C2212yescomplemented
59#19099274C2214yescomplemented
60#19099273C2212yescomplemented
61#19099273C2212yescomplemented
62#19099271C2218yes—
63#19099271C2214yes—
64#19099269C2214yescomplemented
65#19099267C2218yes—
66#19099266C2214yes—
67#19099266C2214yes—
68#19099263C2214yes—
69#19099262C2218yes—
70#19099261C2214yes—
71#19099261C2214yes—
72#19099261C2214yescomplemented
73#19099259C2214yes—
74#19099259C2218yes—
75#19099257C2214yescomplemented
76#19099254C2214yes—
77#19099254C2214yes—
78#19099252C2214yescomplemented
79#19099251C2214yes—
80#19099251C2214yes—
81#19099248C2214yes—
82#19099248C2214yes—
83#19099248C2214yescomplemented
84#19099248C2214yescomplemented
85#19099247C2218yescomplemented
86#19099247C2214yescomplemented
87#19099245C2218yescomplemented
88Q8×D316C2212yescomplemented
89#19099226C2214yes—
90#19099225C2214yes—
91#19099224C2214yes—
92#19099224C2214yes—
93#19099224C2214yescomplemented
94#19099223C2214yescomplemented
95#19099222C2214yes—
96#19099218C2212yescomplemented
97#19099216C2214yes—
98#19099216C2212yescomplemented
99#19099215C2214yes—
100#19099193C2214yescomplemented
101#19099193C2214yescomplemented
102#19099191C2212yes—
103#19099190C2214yescomplemented
104#19099187C2214yes—
105#19099187C2218yes—
106#19099187C2214yescomplemented
107#19099187C2214yescomplemented
108#19099186C2218yes—
109#19099186C2214yescomplemented
110#19099186C2218yescomplemented
111#19099185C2214yes—
112#19099184C2214yescomplemented
113#19099183C2218yescomplemented
114#19099174C2214yes—
115#19099174C2214yescomplemented
116#19099174C2218yescomplemented
117#19099173C2214yescomplemented
118#19099172C2218yescomplemented
119#19099171C2214yes—
120#19099171C2214yescomplemented
121#19099164C2214yescomplemented
122#19099161C2218yes—
123#19099159C2218yes—
124#19099153C2218yes—
125#19099146C2218yes—
126#19099144C2212yes—
127#19099144C2214yes—
128#19099143C2214yes—
129#19099141C2212yes—
130#19099137C2214yes—
131#19099136C2214yes—
132#19099120C2212yescomplemented
133#19099118C2211yescharacteristic
134#19099118C2212yes—
135#19099118C2212yes—
136#19099118C2212yes—
137#19099118C2212yes—
138#19099118C2212yes—
139#19099118C2212yes—
140#19099118C2212yes—
141#19099118C2212yes—
142#19099118C2211yescharacteristic
143#19099118C2212yescomplemented
144#19099118C2212yescomplemented
145#19099118C2214yescomplemented
146#19099117C2211yescharacteristic
147#19099117C2211yescharacteristic
148#19099116C2211yescharacteristic
149#19099114C2211yescharacteristic
150#19099114C2211yescharacteristic
151#19099114C2212yescomplemented
152#19099113C2211yescharacteristic
153#19099113C2212yescomplemented
154#19099110C2211yescharacteristic
155#19099110C2211yescharacteristic
156#19099109C2211yescharacteristic
157C2×#14579161C2211yescharacteristic
158C4⋊Q8×D79C2212yescomplemented
159#19099100C2212yes—
160#19099100C2211yescharacteristic
161#19099100C2212yes—
162#19099100C2211yescharacteristic
163#19099100C2214yescomplemented
164#19099099C2218yes—
165#19099099C2212yes—
166#19099099C2212yes—
167#19099098C2212yes—
168#19099098C2212yes—
169#19099095C2211yescharacteristic
170#19099095C2211yescharacteristic
171#19099095C2214yescomplemented
172#19099093C2218yes—
173#19099093C2212yes—
174#19099093C2212yes—
175#19099091C2212yes—
176#19099091C2212yes—
177C2×#14579152C2212yes—
178#125×D79C2214yescomplemented
179#19099076C2212yes—
180#19099076C2212yes—
181#19099075C2212yes—
182#19099075C2211yescharacteristic
183#19099072C2212yes—
184#19099072C2212yes—
185#19099070C2211yescharacteristic
186C2×#14579141C2212yes—
187C2×#14579137C2212yes—
188#19099045C2214yescomplemented
189#19099044C2212yes—
190#19099044C2214yescomplemented
191#19099043C2212yes—
192#19099043C2212yes—
193#19099041C2214yescomplemented
194#19099039C2214yescomplemented
195C4×#11929625C2212yes—
196C4×#11929625C2212yes—
197C4×#11929624C2212yes—
198C4×#11929624C2211yescharacteristic
199C4×#11929624C2212yes—
200#19099031C2212yes—
201C2×Q8×Dic79C2212yes—
202C2×#14579126C2212yes—
203C2×#14579119C2212yes—
204C2×C42×D79C2211yescharacteristic
205Q82×C79C2212yescomplemented
206#557×C79C2212yescomplemented
207#554×C79C2214yes—
208#554×C79C2212yescomplemented
209D4×Q8×C79C2214yes—
210D4×Q8×C79C2212yescomplemented
211#544×C79C2212yes—
212#544×C79C2214yescomplemented
213#533×C79C2211yescharacteristic
214#533×C79C2212yescomplemented
215C2×C4⋊Q8×C79C2211yescharacteristic
216C2×C4⋊Q8×C79C2212yescomplemented
217#520×C79C2212yes—
218C4×#41×C79C2211yescharacteristic
219C2×#11929625C2314yes—
220C2×#11929625C2312yes—
221C2×#11929625C2312yes—
222C2×#11929624C2312yes—
223C2×#11929624C2311yescharacteristic
224C2×#11929624C2312yes—
225C2×#11929624C2312yes—
226C2×#11929624C2314yes—
227C22×Dic158C2312yes—
228C2×Q8×D79C2314yes—
229C22×C4×D79C2311yescharacteristic
230C22×C4×D79C2311yescharacteristic
231C22×C4×D79C2311yescharacteristic
232#14579161C2312yes—
233#14579161C2314yes—
234#14579161C2312yes—
235#14579161C2312yes—
236#14579161C2312yes—
237#14579161C2311yescharacteristic
238#14579160C2318yes—
239#14579160C2318yes—
240#14579160C2314yes—
241#14579160C2311yescharacteristic
242#14579160C2314yes—
243#14579160C2311yescharacteristic
244#14579159C2318yes—
245#14579159C2314yes—
246#14579159C2311yescharacteristic
247#14579158C2311yescharacteristic
248#14579157C2311yescharacteristic
249#14579156C2318yes—
250#14579156C2318yes—
251#14579156C2318yes—
252#14579156C2318yes—
253#14579156C2318yes—
254#14579156C2314yes—
255#14579156C2318yes—
256#14579156C2318yes—
257#14579156C2314yes—
258#14579156C2318yes—
259#14579156C2318yes—
260#14579156C2318yes—
261#14579156C2312yes—
262#14579156C2312yes—
263#14579155C2318yes—
264#14579155C2318yes—
265#14579154C2318yes—
266#14579154C2318yes—
267#14579154C2312yes—
268#14579154C2312yes—
269#14579153C2318yes—
270#14579153C2314yes—
271#14579153C2314yes—
272#14579152C2314yes—
273#14579152C2314yes—
274#14579152C2318yes—
275#14579152C2314yes—
276#14579152C2312yes—
277#14579152C2312yes—
278#14579152C2314yes—
279#14579152C2314yes—
280#14579152C2311yescharacteristic
281#14579152C2314yes—
282#14579152C2311yescharacteristic
283#14579151C2318yes—
284#14579151C2318yes—
285#14579151C2318yes—
286#14579151C2318yes—
287#14579151C2318yes—
288#14579151C2312yes—
289#14579151C2318yes—
290#14579151C2312yes—
291#14579151C2318yes—
292#14579150C2318yes—
293#14579150C2318yes—
294#14579150C2318yes—
295#14579150C2314yes—
296#14579150C2318yes—
297#14579150C2312yes—
298#14579150C2312yes—
299#14579150C2311yescharacteristic
300#14579149C2318yes—
301#14579149C2312yes—
302#14579149C2314yes—
303#14579148C2311yescharacteristic
304#14579147C2318yes—
305#14579147C2312yes—
306#14579147C2318yes—
307#14579147C2312yes—
308#14579147C2318yes—
309#14579146C2318yes—
310#14579146C2318yes—
311#14579146C2318yes—
312#14579146C2312yes—
313#14579146C2318yes—
314#14579146C2312yes—
315#14579146C2318yes—
316#14579146C2314yes—
317#14579146C2314yes—
318#14579145C2314yes—
319#14579145C2312yes—
320#14579144C2318yes—
321#14579144C2318yes—
322#14579143C2318yes—
323#14579143C2312yes—
324#14579143C2318yes—
325#14579143C2312yes—
326#14579143C2318yes—
327#14579142C2312yes—
328#14579141C2314yes—
329#14579141C2314yes—
330#14579141C2318yes—
331#14579141C2314yes—
332#14579141C2314yes—
333#14579141C2314yes—
334#14579141C2318yes—
335#14579141C2318yes—
336#14579141C2314yes—
337#14579141C2312yes—
338#14579141C2311yescharacteristic
339#14579141C2312yes—
340#14579141C2311yescharacteristic
341#14579141C2314yes—
342#14579140C2314yes—
343#14579140C2314yes—
344#14579139C2318yes—
345#14579139C2318yes—
346#14579139C2318yes—
347#14579139C2318yes—
348#14579139C2312yes—
349#14579139C2312yes—
350#14579138C2318yes—
351#14579138C2312yes—
352#14579138C2312yes—
353#14579137C2312yes—
354#14579137C2312yes—
355#14579137C2314yes—
356#14579137C2314yes—
357#14579137C2314yes—
358#14579137C2314yes—
359#14579137C2314yes—
360#14579137C2318yes—
361#14579137C2318yes—
362#14579137C2318yes—
363#14579137C2314yes—
364#14579137C2311yescharacteristic
365#14579137C2311yescharacteristic
366#14579137C2314yes—
367#14579136C2312yes—
368#14579136C2318yes—
369#14579136C2312yes—
370#14579136C2318yes—
371#14579136C2314yes—
372#14579136C2314yes—
373#14579136C2314yes—
374#14579136C2312yes—
375#14579136C2311yescharacteristic
376#14579136C2312yes—
377#14579136C2311yescharacteristic
378#14579135C2314yes—
379#14579135C2314yes—
380#14579135C2318yes—
381#14579135C2318yes—
382#14579135C2318yes—
383#14579135C2312yes—
384#14579135C2312yes—
385#14579134C2318yes—
386#14579134C2318yes—
387#14579134C2312yes—
388#14579134C2312yes—
389#14579133C2318yes—
390#14579133C2312yes—
391#14579133C2312yes—
392#14579132C2314yes—
393#14579132C2311yescharacteristic
394#14579132C2311yescharacteristic
395#14579131C2314yes—
396#14579131C2312yes—
397#14579129C2312yes—
398Q8×Dic79C2312yes—
399Q8×Dic79C2314yes—
400Q8×Dic79C2314yes—
401Q8×Dic79C2314yes—
402Q8×Dic79C2312yes—
403Q8×Dic79C2314yes—
404Q8×Dic79C2318yes—
405Q8×Dic79C2318yes—
406Q8×Dic79C2314yes—
407Q8×Dic79C2314yes—
408C4×Dic158C2314yes—
409C4×Dic158C2314yes—
410C4×Dic158C2318yes—
411C4×Dic158C2314yes—
412C4×Dic158C2312yes—
413C4×Dic158C2312yes—
414C4×Dic158C2311yescharacteristic
415C4×Dic158C2312yes—
416C4×Dic158C2312yes—
417C4×Dic158C2311yescharacteristic
418#14579126C2314yes—
419#14579126C2314yes—
420#14579126C2314yes—
421#14579126C2318yes—
422#14579126C2314yes—
423#14579126C2314yes—
424#14579126C2314yes—
425#14579126C2312yes—
426#14579126C2312yes—
427C4×D316C2318yes—
428C4×D316C2314yes—
429C4×D316C2314yes—
430C4×D316C2314yes—
431C4×D316C2312yes—
432C4×D316C2311yescharacteristic
433C4×D316C2312yes—
434C4×D316C2312yes—
435C4×D316C2312yes—
436C4×D316C2311yescharacteristic
437C4×D316C2312yes—
438C4×D316C2314yes—
439C4×D316C2314yes—
440C4×D316C2312yes—
441#14579123C2314yes—
442#14579123C2314yes—
443#14579123C2312yes—
444#14579123C2318yes—
445#14579123C2314yes—
446#14579123C2312yes—
447#14579123C2314yes—
448#14579123C2312yes—
449#14579123C2312yes—
450C4×C22⋊D79C2318yes—
451C4×C22⋊D79C2318yes—
452C4×C22⋊D79C2318yes—
453C4×C22⋊D79C2312yes—
454C4×C22⋊D79C2312yes—
455C4×C22⋊D79C2312yes—
456C4×C22⋊D79C2312yes—
457C4×C22⋊D79C2312yes—
458C4×C22⋊D79C2312yes—
459C4×C22⋊D79C2312yes—
460C4×C22⋊D79C2312yes—
461C4×C22⋊D79C2312yes—
462C4×C22⋊D79C2312yes—
463(C22⋊D79)⋊C4C2318yes—
464(C22⋊D79)⋊C4C2318yes—
465(C22⋊D79)⋊C4C2314yes—
466(C22⋊D79)⋊C4C2314yes—
467#14579120C2314yes—
468#14579120C2312yes—
469#14579120C2318yes—
470#14579120C2312yes—
471#14579120C2318yes—
472#14579120C2311yescharacteristic
473#14579119C2314yes—
474#14579119C2318yes—
475#14579119C2318yes—
476#14579119C2314yes—
477#14579119C2314yes—
478#14579119C2314yes—
479#14579119C2314yes—
480#14579119C2314yes—
481#14579119C2312yes—
482#14579119C2314yes—
483#14579119C2314yes—
484#14579119C2314yes—
485#14579119C2312yes—
486#14579119C2314yes—
487#14579118C2314yes—
488#14579118C2312yes—
489#14579118C2312yes—
490#14579118C2312yes—
491#14579118C2318yes—
492#14579118C2318yes—
493#14579118C2312yes—
494#14579118C2312yes—
495C2×C4⋊Dic79C2312yes—
496C2×C4⋊Dic79C2312yes—
497C2×C4⋊Dic79C2314yes—
498C2×Dic79⋊C4C2314yes—
499C4⋊C4×D79C2314yes—
500C4⋊C4×D79C2318yes—
501C4⋊C4×D79C2318yes—
502C4⋊C4×D79C2314yes—
503C4⋊C4×D79C2314yes—
504C4⋊C4×D79C2314yes—
505C2×(C2×D79)⋊C4C2314yes—
506C2×C4×Dic79C2311yescharacteristic
507C2×C4×Dic79C2311yescharacteristic
508C2×C4×Dic79C2311yescharacteristic
509C2×C4×Dic79C2314yes—
510C42×D79C2311yescharacteristic
511C42×D79C2311yescharacteristic
512C42×D79C2311yescharacteristic
513C42×D79C2311yescharacteristic
514C42×D79C2311yescharacteristic
515C42×D79C2311yescharacteristic
516C42×D79C2311yescharacteristic
517C42×D79C2311yescharacteristic
518C42×D79C2314yes—
519C42×D79C2312yes—
520C2×#41×C79C2311yescharacteristic
521C22×Q8×C79C2314yes—
522C22×Q8×C79C2312yes—
523C4⋊Q8×C79C2314yes—
524C4⋊Q8×C79C2318yes—
525C4⋊Q8×C79C2314yes—
526C4⋊Q8×C79C2312yes—
527C4⋊Q8×C79C2314yes—
528C4⋊Q8×C79C2312yes—
529C4⋊Q8×C79C2312yes—
530C4⋊Q8×C79C2312yes—
531C4⋊Q8×C79C2311yescharacteristic
532C4⋊Q8×C79C2314yes—
533C4⋊Q8×C79C2311yescharacteristic
534#125×C79C2318yes—
535#125×C79C2312yes—
536#125×C79C2314yes—
537#125×C79C2314yes—
538C22⋊Q8×C79C2314yes—
539C22⋊Q8×C79C2314yes—
540C22⋊Q8×C79C2318yes—
541C22⋊Q8×C79C2318yes—
542C22⋊Q8×C79C2318yes—
543C22⋊Q8×C79C2312yes—
544C22⋊Q8×C79C2312yes—
545C4×Q8×C79C2314yes—
546C4×Q8×C79C2314yes—
547C4×Q8×C79C2314yes—
548C4×Q8×C79C2312yes—
549C4×Q8×C79C2311yescharacteristic
550C4×Q8×C79C2311yescharacteristic
551C4×Q8×C79C2312yes—
552C4×D4×C79C2318yes—
553C4×D4×C79C2314yes—
554C4×D4×C79C2311yescharacteristic
555C4×D4×C79C2312yes—
556C4×D4×C79C2312yes—
557C4×D4×C79C2311yescharacteristic
558#117×C79C2312yes—
559#117×C79C2312yes—
560#117×C79C2311yescharacteristic
561#117×C79C2314yes—
562C2×C4⋊C4×C79C2312yes—
563C2×C4⋊C4×C79C2314yes—
564C2×C4⋊C4×C79C2314yes—
565C2×C4⋊C4×C79C2312yes—
566C2×C42×C79C2311yescharacteristic
567C2×C42×C79C2312yes—
568C23×D79C2411yescharacteristic
569#11929625—44no—
570#11929625—44no—
571#11929625—48no—
572#11929624—28no—
573#11929624—24no—
574#11929624—48no—
575#11929624—44no—
576#11929624—44no—
577C2×Dic158—44no—
578C2×Dic158C2414yes—
579C2×Dic158C2412yes—
580C2×Dic158C2411yescharacteristic
581C2×Dic158C2418yes—
582C2×Dic158C2414yes—
583C2×Dic158C2412yes—
584C2×Dic158C2412yes—
585Q8×D79—48no—
586C2×D316C2412yes—
587C2×D316C2412yes—
588C2×D316C2411yescharacteristic
589C2×D316C2412yes—
590C2×D316C2412yes—
591C2×D316C2412yes—
592C2×D316C2414yes—
593C2×D316C2414yes—
594C2×D316C2418yes—
595C2×C22⋊D79C2414yes—
596C2×C22⋊D79C2412yes—
597C2×C22⋊D79C2412yes—
598C2×C22⋊D79C2412yes—
599C2×C22⋊D79C2418yes—
600C2×C22⋊D79C2412yes—
601C2×C22⋊D79C2412yes—
602C22×Dic79C2411yescharacteristic
603C22×Dic79C2414yes—
604C22×Dic79C2411yescharacteristic
605C22×Dic79C2411yescharacteristic
606C2×C4×D79—24no—
607C2×C4×D79—42no—
608C2×C4×D79—42no—
609C2×C4×D79C2412yes—
610C2×C4×D79C2411yescharacteristic
611C2×C4×D79C2411yescharacteristic
612C2×C4×D79C2412yes—
613C2×C4×D79C2412yes—
614C2×C4×D79C2414yes—
615C2×C4×D79C2411yescharacteristic
616C2×C4×D79C2411yescharacteristic
617C2×C4×D79C2411yescharacteristic
618C2×C4×D79C2411yescharacteristic
619C2×C4×D79C2411yescharacteristic
620C2×C4×D79C2411yescharacteristic
621C2×C4×D79C2418yes—
622C2×C4×D79C2418yes—
623C2×C4×D79C2414yes—
624C2×C4×D79C2414yes—
625C2×C4×D79C2418yes—
626C2×C4×D79C2411yescharacteristic
627C2×C4×D79C2411yescharacteristic
628C2×C4×D79C2411yescharacteristic
629C2×C4×D79C2411yescharacteristic
630C4⋊Dic79C2411yescharacteristic
631C4⋊Dic79C2412yes—
632C4⋊Dic79C2414yes—
633C4⋊Dic79C2414yes—
634C4⋊Dic79C2414yes—
635C4⋊Dic79C2418yes—
636C4⋊Dic79C2418yes—
637C4⋊Dic79C2414yes—
638C4⋊Dic79C2411yescharacteristic
639C4⋊Dic79C2412yes—
640C4⋊Dic79C2412yes—
641C4⋊Dic79C2414yes—
642C4⋊Dic79C2412yes—
643C4⋊Dic79C2414yes—
644C4⋊Dic79C2412yes—
645C4⋊Dic79C2412yes—
646C4⋊Dic79C2418yes—
647C4⋊Dic79C2418yes—
648Dic79⋊C4C2412yes—
649Dic79⋊C4C2418yes—
650Dic79⋊C4C2418yes—
651Dic79⋊C4C2418yes—
652Dic79⋊C4C2418yes—
653Dic79⋊C4C2418yes—
654Dic79⋊C4C2418yes—
655Dic79⋊C4C2418yes—
656Dic79⋊C4C2412yes—
657Dic79⋊C4C2414yes—
658Dic79⋊C4C2414yes—
659Dic79⋊C4C2412yes—
660Dic79⋊C4C2412yes—
661Dic79⋊C4C2412yes—
662Dic79⋊C4C2412yes—
663Dic79⋊C4C2412yes—
664Dic79⋊C4C2412yes—
665Dic79⋊C4C2412yes—
666Dic79⋊C4C2412yes—
667Dic79⋊C4C2418yes—
668C22⋊Dic79C2412yes—
669C22⋊Dic79C2412yes—
670C22⋊Dic79C2418yes—
671C22⋊Dic79C2412yes—
672C22⋊Dic79C2412yes—
673C22⋊Dic79C2412yes—
674(C2×D79)⋊C4C2418yes—
675(C2×D79)⋊C4C2418yes—
676(C2×D79)⋊C4C2412yes—
677(C2×D79)⋊C4C2414yes—
678(C2×D79)⋊C4C2412yes—
679(C2×D79)⋊C4C2418yes—
680(C2×D79)⋊C4C2414yes—
681(C2×D79)⋊C4C2414yes—
682(C2×D79)⋊C4C2412yes—
683(C2×D79)⋊C4C2412yes—
684(C2×D79)⋊C4C2412yes—
685(C2×D79)⋊C4C2412yes—
686(C2×D79)⋊C4C2412yes—
687(C2×D79)⋊C4C2412yes—
688(C2×D79)⋊C4C2412yes—
689(C2×D79)⋊C4C2412yes—
690(C2×D79)⋊C4C2418yes—
691(C2×D79)⋊C4C2414yes—
692(C2×D79)⋊C4C2418yes—
693(C2×D79)⋊C4C2418yes—
694(C2×D79)⋊C4C2418yes—
695(C2×D79)⋊C4C2418yes—
696(C2×D79)⋊C4C2414yes—
697(C2×D79)⋊C4C2414yes—
698(C2×D79)⋊C4C2414yes—
699(C2×D79)⋊C4C2414yes—
700C4×Dic79C2411yescharacteristic
701C4×Dic79C2411yescharacteristic
702C4×Dic79C2411yescharacteristic
703C4×Dic79C2411yescharacteristic
704C4×Dic79C2411yescharacteristic
705C4×Dic79C2411yescharacteristic
706C4×Dic79C2411yescharacteristic
707C4×Dic79C2411yescharacteristic
708C4×Dic79C2411yescharacteristic
709C4×Dic79C2411yescharacteristic
710C4×Dic79C2411yescharacteristic
711C4×Dic79C2411yescharacteristic
712C4×Dic79C2414yes—
713C4×Dic79C2412yes—
714C4×Dic79C2412yes—
715C4×Dic79C2412yes—
716C4×Dic79C2414yes—
717C4×Dic79C2418yes—
718C4×Dic79C2418yes—
719C4×Dic79C2418yes—
720C4×Dic79C2418yes—
721C4×Dic79C2418yes—
722#41×C79—24no—
723C2×Q8×C79—44no—
724C2×Q8×C79—48no—
725C2×Q8×C79C2412yes—
726C2×Q8×C79C2414yes—
727C2×Q8×C79C2412yes—
728C2×Q8×C79C2411yescharacteristic
729C2×Q8×C79C2414yes—
730C2×Q8×C79C2418yes—
731C2×D4×C79C2412yes—
732C2×D4×C79C2411yescharacteristic
733C22×C4×C79C2411yescharacteristic
734C22×C4×C79C2412yes—
735C22×C4×C79C2412yes—
736C22×C4×C79C2412yes—
737C22×C4×C79C2411yescharacteristic
738C22×C4×C79C2414yes—
739C22×C4×C79C2418yes—
740C22×C4×C79C2411yescharacteristic
741C4⋊C4×C79C2414yes—
742C4⋊C4×C79C2412yes—
743C4⋊C4×C79C2412yes—
744C4⋊C4×C79C2414yes—
745C4⋊C4×C79C2414yes—
746C4⋊C4×C79C2418yes—
747C4⋊C4×C79C2418yes—
748C4⋊C4×C79C2414yes—
749C4⋊C4×C79C2412yes—
750C4⋊C4×C79C2411yescharacteristic
751C4⋊C4×C79C2412yes—
752C4⋊C4×C79C2411yescharacteristic
753C4⋊C4×C79C2412yes—
754C4⋊C4×C79C2412yes—
755C4⋊C4×C79C2418yes—
756C4⋊C4×C79C2414yes—
757C4⋊C4×C79C2414yes—
758C4⋊C4×C79C2418yes—
759C22⋊C4×C79C2412yes—
760C22⋊C4×C79C2414yes—
761C22⋊C4×C79C2418yes—
762C22⋊C4×C79C2412yes—
763C22⋊C4×C79C2412yes—
764C42×C79C2411yescharacteristic
765C42×C79C2411yescharacteristic
766C42×C79C2412yes—
767C42×C79C2411yescharacteristic
768C42×C79C2411yescharacteristic
769C42×C79C2412yes—
770C42×C79C2412yes—
771C42×C79C2414yes—
772C42×C79C2418yes—
773C23×C79C2512yes—
774C23×C79C2511yescharacteristic
775C22×D79—22no—
776C22×D79—41no—
777C22×D79—41no—
778C22×D79C2511yescharacteristic
779C22×D79C2511yescharacteristic
780C22×D79C2514yes—
781C22×D79C2512yes—
782Q8×C79—22no—
783Q8×C79—24no—
784Q8×C79—24no—
785Q8×C79—28no—
786Q8×C79—48no—
787Q8×C79—44no—
788D4×C79—24no—
789D4×C79—22no—
790C2×C4×C79—24no—
791C2×C4×C79—22no—
792C2×C4×C79—22no—
793C2×C4×C79—24no—
794C2×C4×C79—24no—
795C2×C4×C79—44no—
796C2×C4×C79—48no—
797C2×C4×C792−1+414yes—
798C2×C4×C79C2512yes—
799C2×C4×C79C2514yes—
800C2×C4×C79C2518yes—
801C2×C4×C79C2511yescharacteristic
802C2×C4×C79C2511yescharacteristic
803C2×C4×C79C2514yes—
804C2×C4×C79C2512yes—
805C2×C4×C79C2512yes—
806C2×C4×C79C2511yescharacteristic
807C2×C4×C79C2511yescharacteristic
808C2×C4×C79C2511yescharacteristic
809C2×C4×C79C2511yescharacteristic
810C22⋊D79—28no—
811C22⋊D79—24no—
812C22⋊D79—42no—
813C22⋊D79—42no—
814C22⋊D79—48no—
815C22⋊D79—42no—
816C22⋊D79—42no—
817C2×Dic79—22no—
818C2×Dic79—41no—
819C2×Dic79—41no—
820C2×Dic79—44no—
821C2×Dic79C2511yescharacteristic
822C2×Dic79C2511yescharacteristic
823C2×Dic79C2511yescharacteristic
824C2×Dic79C2511yescharacteristic
825C2×Dic79C2514yes—
826C2×Dic79C2512yes—
827C2×Dic79C2512yes—
828C2×Dic79C2518yes—
829C2×Dic79C2511yescharacteristic
830C2×Dic79C2511yescharacteristic
831C2×Dic79C2512yes—
832D316—24no—
833D316—22no—
834D316—24no—
835D316—24no—
836D316—42no—
837D316—42no—
838D316—48no—
839D316—44no—
840D316—44no—
841C4×D79—22no—
842C4×D79—22no—
843C4×D79—22no—
844C4×D79—22no—
845C4×D79—24no—
846C4×D79—28no—
847C4×D79—22no—
848C4×D79—22no—
849C4×D79—22no—
850C4×D79—22no—
851C4×D79—24no—
852C4×D79—24no—
853C4×D79—41no—
854C4×D79—41no—
855C4×D79—41no—
856C4×D79—41no—
857C4×D79—48no—
858C4×D79—48no—
859C4×D79—48no—
860C4×D79—44no—
861C4×D79—44no—
862Dic158—24no—
863Dic158—22no—
864Dic158—28no—
865Dic158—48no—
866Dic158—44no—
867Dic158—42no—
868Dic158—42no—
869C22×C79—21no—
870C22×C79—21no—
871C22×C79—22no—
872C22×C79—22no—
873C22×C79—22no—
874C22×C79C2×2−1+412yes—
875C22×C79C2611yescharacteristic
876C2×D79—24no—
877C2×D79—22no—
878C2×D79—21no—
879C2×D79—21no—
880C2×D79—21no—
881C2×D79—21no—
882C2×D79—24no—
883C2×D79—22no—
884C2×D79—22no—
885C2×D79—21no—
886C2×D79—21no—
887C2×D79—24no—
888C2×D79—44no—
889C4×C79—22no—
890C4×C79—22no—
891C4×C79—21no—
892C4×C79—21no—
893C4×C79—22no—
894C4×C79—28no—
895C4×C79—24no—
896C4×C79—24no—
897C4×C79C2×2−1+412yes—
898C4×C79C2×2−1+412yes—
899C4×C79#58512yes—
900C4×C79#58512yes—
901Dic79—24no—
902Dic79—22no—
903Dic79—21no—
904Dic79—21no—
905Dic79—21no—
906Dic79—21no—
907Dic79—28no—
908Dic79—22no—
909Dic79—22no—
910Dic79—21no—
911Dic79—21no—
912#62838—791nomaximal, Sylow
913C2×C79—22no—
914C2×C79—42no—
915C2×C79C22×2−1+411yescharacteristic
916C2×C79C2×#58511yescharacteristic
917C2×C79C2×#58511yescharacteristic
918D79—44no—
919D79—42no—
920D79—41no—
921D79—41no—
922#3565—794no—
923#3565—794no—
924#3555—792no—
925#3555—792no—
926#3547—792no—
927#3547—792no—
928#3541—794no—
929#3541—794no—
930#3518—792no—
931#3518—792no—
932#3516—794no—
933#3516—794no—
934#3515—792no—
935#3515—792no—
936#3512—792no—
937#3511—792no—
938#3511—791no—
939#3511—792no—
940#3511—791no—
941#3509—792no—
942#3509—792no—
943#3504—792no—
944#3503—791no—
945#3503D7911yescharacteristic, complemented
946#3493—792no—
947#3493—792no—
948#3444—791no—
949#3444—791no—
950C2×#533—791no—
951C79#6283811yescharacteristic, complemented, Sylow
952#563—798no—
953#563—798no—
954#562—798no—
955#562—798no—
956Q82—792no—
957Q82C2×D7912yescomplemented
958#557—794no—
959#557—794no—
960#557—794no—
961#557—794no—
962#557—792no—
963#557C2×D7912yescomplemented
964#556—794no—
965#556—794no—
966#556—794no—
967#556—794no—
968#556—792no—
969#556—798no—
970#556—794no—
971#556—798no—
972#556—794no—
973#556—794no—
974#556—792no—
975#556—794no—
976#555—794no—
977#555—794no—
978#555—792no—
979#555—794no—
980#555—792no—
981#555—794no—
982#554—794no—
983#554—792no—
984#554—794no—
985#554—798no—
986#554—794no—
987#554—798no—
988#554—792no—
989#554—792no—
990#554C2×D7914yes—
991#554C2×D7912yescomplemented
992#553—794no—
993#553—794no—
994#553—794no—
995#553—798no—
996#553—798no—
997#553—794no—
998#553—794no—
999#553—794no—
1000#553—794no—
1001#553—794no—
1002#552—798no—
1003#552—794no—
1004#552—794no—
1005#552—794no—
1006#552—798no—
1007#552—794no—
1008#552—794no—
1009#552—794no—
1010#552—794no—
1011#552—794no—
1012#552—794no—
1013#552—794no—
1014D4×Q8—794no—
1015D4×Q8—792no—
1016D4×Q8C2×D7914yes—
1017D4×Q8C2×D7912yescomplemented
1018#548—794no—
1019#548—794no—
1020#548—794no—
1021#548—794no—
1022#548—794no—
1023#548—794no—
1024#547—794no—
1025#547—792no—
1026#547—794no—
1027#547—792no—
1028#544—794no—
1029#544—794no—
1030#544—794no—
1031#544—792no—
1032#544C2×D7912yes—
1033#544C2×D7914yescomplemented
1034#542—794no—
1035#542—798no—
1036#542—794no—
1037#542—794no—
1038#542—798no—
1039#542—798no—
1040#542—794no—
1041#542—798no—
1042#542—794no—
1043#542—794no—
1044#541—794no—
1045#541—794no—
1046#541—798no—
1047#541—798no—
1048#541—794no—
1049#541—794no—
1050#541—794no—
1051#540—794no—
1052#539—798no—
1053#539—798no—
1054#538—798no—
1055#538—798no—
1056#537—792no—
1057#537—794no—
1058#537—792no—
1059#537—794no—
1060#536—794no—
1061#536—794no—
1062#533—792no—
1063#533—792no—
1064#533—792no—
1065#533—792no—
1066#533—792no—
1067#533—792no—
1068#533—792no—
1069#533—792no—
1070#533—791no—
1071#533—791no—
1072#533—792no—
1073#533—794no—
1074#533—792no—
1075#533—791no—
1076#533—791no—
1077#533—791no—
1078#533—792no—
1079#533C2×D7911yescharacteristic
1080#533C2×D7912yescomplemented
1081#532—791no—
1082#532—791no—
1083#532—791no—
1084#532—792no—
1085#532—791no—
1086#532—791no—
1087#532—791no—
1088#532—792no—
1089C2×C4⋊Q8—792no—
1090C2×C4⋊Q8—791no—
1091C2×C4⋊Q8C2×D7911yescharacteristic
1092C2×C4⋊Q8C2×D7912yescomplemented
1093#529—792no—
1094#529—792no—
1095#529—792no—
1096#529—792no—
1097#529—798no—
1098#529—791no—
1099#529—791no—
1100#529—792no—
1101#529—792no—
1102#529—794no—
1103#529—791no—
1104#529—792no—
1105#529—792no—
1106#529—791no—
1107#529—798no—
1108#529—794no—
1109#529—792no—
1110#529—792no—
1111C2×#125—794no—
1112C2×#125—792no—
1113#525—791no—
1114#525—792no—
1115#525—792no—
1116#525—792no—
1117#525—792no—
1118#525—792no—
1119#525—791no—
1120C2×C22⋊Q8—792no—
1121C2×C22⋊Q8—792no—
1122#520—794no—
1123#520—792no—
1124#520—792no—
1125#520—792no—
1126#520—794no—
1127#520C2×D7912yes—
1128#519—794no—
1129#519—794no—
1130C4×#41—792no—
1131C4×#41—792no—
1132C4×#41—792no—
1133C4×#41—791no—
1134C4×#41—792no—
1135C4×#41—792no—
1136C4×#41C2×D7911yescharacteristic
1137C2×C4×Q8—792no—
1138C2×C4×Q8—792no—
1139C2×#117—792no—
1140C22×C42—791no—
1141C2×#41—792no—
1142C2×#41—792no—
1143C2×#41—794no—
1144C2×#41—792no—
1145C2×#41—792no—
1146C2×#41—794no—
1147C2×#41—792no—
1148C2×#41—791no—
1149C2×#41C22×D7911yescharacteristic
1150C22×Q8—794no—
1151C22×Q8—792no—
1152C22×Q8C22×D7912yes—
1153C22×Q8C22×D7914yes—
1154C23×C4—791no—
1155C23×C4—791no—
1156C23×C4—791no—
1157C4⋊Q8—794no—
1158C4⋊Q8—791no—
1159C4⋊Q8—798no—
1160C4⋊Q8—794no—
1161C4⋊Q8—794no—
1162C4⋊Q8—791no—
1163C4⋊Q8—791no—
1164C4⋊Q8—798no—
1165C4⋊Q8—798no—
1166C4⋊Q8—792no—
1167C4⋊Q8—792no—
1168C4⋊Q8—792no—
1169C4⋊Q8—792no—
1170C4⋊Q8—791no—
1171C4⋊Q8—794no—
1172C4⋊Q8C22×D7911yescharacteristic
1173C4⋊Q8C22×D7912yes—
1174C4⋊Q8C22×D7912yes—
1175C4⋊Q8C22×D7912yes—
1176C4⋊Q8C22×D7912yes—
1177C4⋊Q8C22×D7911yescharacteristic
1178C4⋊Q8C22×D7914yes—
1179C4⋊Q8C22×D7914yes—
1180C4⋊Q8C22×D7914yes—
1181C4⋊Q8C22×D7914yes—
1182C4⋊Q8C22×D7918yes—
1183#127—791no—
1184#127—791no—
1185#126—794no—
1186#126—794no—
1187#126—792no—
1188#126—792no—
1189#126—798no—
1190#126—798no—
1191#126—798no—
1192#126—798no—
1193#126—798no—
1194#126—798no—
1195#126—798no—
1196#126—798no—
1197#126—798no—
1198#126—798no—
1199#126—792no—
1200#126—792no—
1201#126—798no—
1202#126—798no—
1203#126—798no—
1204#126—798no—
1205#125—791no—
1206#125—794no—
1207#125—794no—
1208#125—794no—
1209#125—794no—
1210#125—798no—
1211#125—798no—
1212#125—791no—
1213#125—792no—
1214#125—792no—
1215#125—792no—
1216#125—792no—
1217#125—798no—
1218#125—798no—
1219#125—794no—
1220#125—794no—
1221#125—798no—
1222#125—798no—
1223#125—798no—
1224#125—798no—
1225#125—794no—
1226#125—794no—
1227#125—798no—
1228#125C22×D7914yes—
1229#125C22×D7912yes—
1230#125C22×D7914yes—
1231#125C22×D7918yes—
1232#124—791no—
1233#124—792no—
1234#124—792no—
1235#124—798no—
1236#124—794no—
1237#124—798no—
1238#124—798no—
1239#124—798no—
1240#124—791no—
1241#124—792no—
1242#124—792no—
1243#124—798no—
1244#124—798no—
1245#124—798no—
1246#124—792no—
1247#124—794no—
1248#124—798no—
1249#123—792no—
1250#123—798no—
1251#123—798no—
1252#123—792no—
1253#123—792no—
1254#123—794no—
1255#123—794no—
1256#123—798no—
1257#123—798no—
1258#123—798no—
1259#123—798no—
1260#123—798no—
1261#123—792no—
1262#123—794no—
1263#123—792no—
1264#123—792no—
1265#123—798no—
1266#123—798no—
1267#123—798no—
1268C22⋊Q8—794no—
1269C22⋊Q8—794no—
1270C22⋊Q8—794no—
1271C22⋊Q8—794no—
1272C22⋊Q8—792no—
1273C22⋊Q8—792no—
1274C22⋊Q8—791no—
1275C22⋊Q8—791no—
1276C22⋊Q8—794no—
1277C22⋊Q8—794no—
1278C22⋊Q8—794no—
1279C22⋊Q8—798no—
1280C22⋊Q8—798no—
1281C22⋊Q8—798no—
1282C22⋊Q8—794no—
1283C22⋊Q8—794no—
1284C22⋊Q8—794no—
1285C22⋊Q8—794no—
1286C22⋊Q8—794no—
1287C22⋊Q8—794no—
1288C22⋊Q8—791no—
1289C22⋊Q8—792no—
1290C22⋊Q8—792no—
1291C22⋊Q8—791no—
1292C22⋊Q8—792no—
1293C22⋊Q8—792no—
1294C22⋊Q8—794no—
1295C22⋊Q8—794no—
1296C22⋊Q8—794no—
1297C22⋊Q8—798no—
1298C22⋊Q8—798no—
1299C22⋊Q8—798no—
1300C22⋊Q8—798no—
1301C22⋊Q8—798no—
1302C22⋊Q8—798no—
1303C22⋊Q8—798no—
1304C22⋊Q8—792no—
1305C22⋊Q8—792no—
1306C22⋊Q8—798no—
1307C22⋊Q8C22×D7912yes—
1308C22⋊Q8C22×D7912yes—
1309C22⋊Q8C22×D7918yes—
1310C22⋊Q8C22×D7914yes—
1311C22⋊Q8C22×D7914yes—
1312C22⋊Q8C22×D7918yes—
1313C22⋊Q8C22×D7918yes—
1314#121—791no—
1315#121—792no—
1316#121—792no—
1317#121—791no—
1318#121—798no—
1319#121—794no—
1320#121—792no—
1321#121—792no—
1322#121—798no—
1323#121—794no—
1324#121—794no—
1325#121—798no—
1326#121—798no—
1327#121—792no—
1328#121—792no—
1329#121—791no—
1330#121—792no—
1331#121—792no—
1332#121—791no—
1333#121—794no—
1334#121—794no—
1335#121—794no—
1336#121—798no—
1337#121—798no—
1338#121—792no—
1339#121—792no—
1340#121—798no—
1341#121—798no—
1342#120—792no—
1343#120—792no—
1344#120—794no—
1345C4×Q8—794no—
1346C4×Q8—794no—
1347C4×Q8—794no—
1348C4×Q8—794no—
1349C4×Q8—792no—
1350C4×Q8—792no—
1351C4×Q8—798no—
1352C4×Q8—794no—
1353C4×Q8—794no—
1354C4×Q8—798no—
1355C4×Q8—794no—
1356C4×Q8—794no—
1357C4×Q8—794no—
1358C4×Q8—794no—
1359C4×Q8—792no—
1360C4×Q8—792no—
1361C4×Q8—798no—
1362C4×Q8—794no—
1363C4×Q8—794no—
1364C4×Q8—792no—
1365C4×Q8—792no—
1366C4×Q8—791no—
1367C4×Q8—792no—
1368C4×Q8—792no—
1369C4×Q8—791no—
1370C4×Q8—798no—
1371C4×Q8—794no—
1372C4×Q8—794no—
1373C4×Q8—794no—
1374C4×Q8C22×D7912yes—
1375C4×Q8C22×D7912yes—
1376C4×Q8C22×D7911yescharacteristic
1377C4×Q8C22×D7911yescharacteristic
1378C4×Q8C22×D7914yes—
1379C4×Q8C22×D7914yes—
1380C4×Q8C22×D7914yes—
1381C4×D4—792no—
1382C4×D4—792no—
1383C4×D4—792no—
1384C4×D4—792no—
1385C4×D4—792no—
1386C4×D4—792no—
1387C4×D4—792no—
1388C4×D4—792no—
1389C4×D4—792no—
1390C4×D4—792no—
1391C4×D4—798no—
1392C4×D4—798no—
1393C4×D4—798no—
1394C4×D4—792no—
1395C4×D4—792no—
1396C4×D4—794no—
1397C4×D4—794no—
1398C4×D4—792no—
1399C4×D4—792no—
1400C4×D4—798no—
1401C4×D4—794no—
1402C4×D4—794no—
1403C4×D4—794no—
1404C4×D4—794no—
1405C4×D4—798no—
1406C4×D4—798no—
1407C4×D4—792no—
1408C4×D4—792no—
1409C4×D4—792no—
1410C4×D4—794no—
1411C4×D4—794no—
1412C4×D4—792no—
1413C4×D4—791no—
1414C4×D4—792no—
1415C4×D4—792no—
1416C4×D4—791no—
1417C4×D4—798no—
1418C4×D4—794no—
1419C4×D4—794no—
1420C4×D4—794no—
1421C4×D4C22×D7912yes—
1422C4×D4C22×D7912yes—
1423C4×D4C22×D7911yescharacteristic
1424C4×D4C22×D7911yescharacteristic
1425C4×D4C22×D7918yes—
1426C4×D4C22×D7914yes—
1427#117—792no—
1428#117—791no—
1429#117—792no—
1430#117—798no—
1431#117—798no—
1432#117—794no—
1433#117—794no—
1434#117—794no—
1435#117—794no—
1436#117—794no—
1437#117—792no—
1438#117—792no—
1439#117—794no—
1440#117—794no—
1441#117—798no—
1442#117—794no—
1443#117—798no—
1444#117—794no—
1445#117—794no—
1446#117—794no—
1447#117—792no—
1448#117—792no—
1449#117—792no—
1450#117—792no—
1451#117—794no—
1452#117—792no—
1453#117—798no—
1454#117—798no—
1455#117C22×D7912yes—
1456#117C22×D7911yescharacteristic
1457#117C22×D7912yes—
1458#117C22×D7914yes—
1459C2×C4⋊C4—792no—
1460C2×C4⋊C4—794no—
1461C2×C4⋊C4—794no—
1462C2×C4⋊C4—792no—
1463C2×C4⋊C4—798no—
1464C2×C4⋊C4—798no—
1465C2×C4⋊C4—794no—
1466C2×C4⋊C4—794no—
1467C2×C4⋊C4—794no—
1468C2×C4⋊C4—794no—
1469C2×C4⋊C4C22×D7912yes—
1470C2×C4⋊C4C22×D7912yes—
1471C2×C4⋊C4C22×D7914yes—
1472C2×C4⋊C4C22×D7914yes—
1473C2×C22⋊C4—794no—
1474C2×C42—794no—
1475C2×C42—791no—
1476C2×C42—791no—
1477C2×C42—791no—
1478C2×C42—794no—
1479C2×C42—792no—
1480C2×C42—791no—
1481C2×C42—791no—
1482C2×C42—791no—
1483C2×C42—791no—
1484C2×C42—791no—
1485C2×C42—791no—
1486C2×C42—791no—
1487C2×C42—791no—
1488C2×C42C22×D7912yes—
1489C2×C42C22×D7911yescharacteristic
1490C24—791no—
1491#41—24no—
1492#41—3168no—
1493#41—3164no—
1494#41—3164no—
1495#41—3164no—
1496#41—3168no—
1497#41—3164no—
1498#41—1584no—
1499#41—1588no—
1500C2×Q8—44no—
1501C2×Q8—48no—
1502C2×Q8—3164no—
1503C2×Q8—3168no—
1504C2×Q8—794no—
1505C2×Q8—792no—
1506C2×Q8—792no—
1507C2×Q8—798no—
1508C2×Q8—792no—
1509C2×Q8—791no—
1510C2×Q8—794no—
1511C2×Q8C23×D7914yes—
1512C2×Q8C23×D7912yes—
1513C2×Q8C23×D7912yes—
1514C2×Q8C23×D7911yescharacteristic
1515C2×Q8C23×D7914yes—
1516C2×Q8C23×D7918yes—
1517C2×D4—792no—
1518C2×D4—792no—
1519C2×D4—798no—
1520C2×D4—792no—
1521C2×D4—792no—
1522C2×D4—792no—
1523C2×D4—794no—
1524C2×D4—792no—
1525C2×D4—794no—
1526C2×D4—794no—
1527C2×D4—792no—
1528C2×D4—798no—
1529C2×D4—792no—
1530C2×D4—791no—
1531C2×D4—792no—
1532C2×D4—792no—
1533C2×D4C23×D7912yes—
1534C2×D4C23×D7911yescharacteristic
1535C22×C4—3162no—
1536C22×C4—3162no—
1537C22×C4—791no—
1538C22×C4—791no—
1539C22×C4—794no—
1540C22×C4—791no—
1541C22×C4—791no—
1542C22×C4—791no—
1543C22×C4—791no—
1544C22×C4—794no—
1545C22×C4—794no—
1546C22×C4—798no—
1547C22×C4—798no—
1548C22×C4—798no—
1549C22×C4—791no—
1550C22×C4—791no—
1551C22×C4—791no—
1552C22×C4—791no—
1553C22×C4—791no—
1554C22×C4—791no—
1555C22×C4—791no—
1556C22×C4—791no—
1557C22×C4—791no—
1558C22×C4—792no—
1559C22×C4—794no—
1560C22×C4—792no—
1561C22×C4—792no—
1562C22×C4—1584no—
1563C22×C4C23×D7911yescharacteristic
1564C22×C4C23×D7911yescharacteristic
1565C22×C4C23×D7912yes—
1566C22×C4C23×D7912yes—
1567C22×C4C23×D7912yes—
1568C22×C4C23×D7914yes—
1569C22×C4C23×D7918yes—
1570C22×C4C23×D7911yescharacteristic
1571C4⋊C4—792no—
1572C4⋊C4—798no—
1573C4⋊C4—798no—
1574C4⋊C4—798no—
1575C4⋊C4—798no—
1576C4⋊C4—798no—
1577C4⋊C4—798no—
1578C4⋊C4—798no—
1579C4⋊C4—792no—
1580C4⋊C4—792no—
1581C4⋊C4—792no—
1582C4⋊C4—792no—
1583C4⋊C4—792no—
1584C4⋊C4—792no—
1585C4⋊C4—792no—
1586C4⋊C4—792no—
1587C4⋊C4—794no—
1588C4⋊C4—794no—
1589C4⋊C4—792no—
1590C4⋊C4—798no—
1591C4⋊C4—791no—
1592C4⋊C4—792no—
1593C4⋊C4—794no—
1594C4⋊C4—794no—
1595C4⋊C4—794no—
1596C4⋊C4—798no—
1597C4⋊C4—798no—
1598C4⋊C4—794no—
1599C4⋊C4—791no—
1600C4⋊C4—792no—
1601C4⋊C4—792no—
1602C4⋊C4—792no—
1603C4⋊C4—794no—
1604C4⋊C4—794no—
1605C4⋊C4—792no—
1606C4⋊C4—792no—
1607C4⋊C4—798no—
1608C4⋊C4—798no—
1609C4⋊C4C23×D7911yescharacteristic
1610C4⋊C4C23×D7912yes—
1611C4⋊C4C23×D7912yes—
1612C4⋊C4C23×D7914yes—
1613C4⋊C4C23×D7918yes—
1614C4⋊C4C23×D7918yes—
1615C4⋊C4C23×D7914yes—
1616C4⋊C4C23×D7912yes—
1617C4⋊C4C23×D7914yes—
1618C4⋊C4C23×D7912yes—
1619C4⋊C4C23×D7918yes—
1620C4⋊C4C23×D7914yes—
1621C4⋊C4C23×D7911yescharacteristic
1622C4⋊C4C23×D7914yes—
1623C4⋊C4C23×D7914yes—
1624C4⋊C4C23×D7918yes—
1625C4⋊C4C23×D7912yes—
1626C4⋊C4C23×D7912yes—
1627C22⋊C4—792no—
1628C22⋊C4—792no—
1629C22⋊C4—798no—
1630C22⋊C4—792no—
1631C22⋊C4—792no—
1632C22⋊C4—792no—
1633C22⋊C4—798no—
1634C22⋊C4—798no—
1635C22⋊C4—792no—
1636C22⋊C4—792no—
1637C22⋊C4—794no—
1638C22⋊C4—794no—
1639C22⋊C4—798no—
1640C22⋊C4—792no—
1641C22⋊C4—792no—
1642C22⋊C4—792no—
1643C22⋊C4—792no—
1644C22⋊C4—794no—
1645C22⋊C4—794no—
1646C22⋊C4—792no—
1647C22⋊C4—792no—
1648C22⋊C4—794no—
1649C22⋊C4—794no—
1650C22⋊C4—798no—
1651C22⋊C4—798no—
1652C22⋊C4—798no—
1653C22⋊C4—798no—
1654C22⋊C4—798no—
1655C22⋊C4—792no—
1656C22⋊C4—792no—
1657C22⋊C4—794no—
1658C22⋊C4—794no—
1659C22⋊C4C23×D7912yes—
1660C22⋊C4C23×D7914yes—
1661C22⋊C4C23×D7918yes—
1662C22⋊C4C23×D7912yes—
1663C22⋊C4C23×D7912yes—
1664C42—791no—
1665C42—791no—
1666C42—791no—
1667C42—791no—
1668C42—791no—
1669C42—791no—
1670C42—791no—
1671C42—791no—
1672C42—791no—
1673C42—791no—
1674C42—791no—
1675C42—791no—
1676C42—794no—
1677C42—794no—
1678C42—798no—
1679C42—798no—
1680C42—792no—
1681C42—792no—
1682C42—792no—
1683C42—798no—
1684C42—798no—
1685C42—798no—
1686C42C23×D7911yescharacteristic
1687C42C23×D7911yescharacteristic
1688C42C23×D7911yescharacteristic
1689C42C23×D7911yescharacteristic
1690C42C23×D7914yes—
1691C42C23×D7912yes—
1692C42C23×D7912yes—
1693C42C23×D7912yes—
1694C42C23×D7918yes—
1695C23—3161no—
1696C23—3161no—
1697C23—791no—
1698C23—791no—
1699C23—794no—
1700C23—792no—
1701C23—1582no—
1702C23C24×D7912yes—
1703C23C24×D7911yescharacteristic
1704Q8—22no—
1705Q8—28no—
1706Q8—24no—
1707Q8—24no—
1708Q8—44no—
1709Q8—48no—
1710Q8—3164no—
1711Q8—3168no—
1712Q8—3162no—
1713Q8—3162no—
1714Q8—1584no—
1715Q8—1582no—
1716Q8—1588no—
1717D4—24no—
1718D4—22no—
1719D4—3162no—
1720D4—3164no—
1721D4—3168no—
1722D4—3162no—
1723D4—3164no—
1724D4—3162no—
1725D4—3162no—
1726D4—3168no—
1727D4—3162no—
1728D4—3162no—
1729D4—1584no—
1730D4—1588no—
1731D4—1584no—
1732D4—1582no—
1733D4—1584no—
1734D4—1584no—
1735C2×C4—24no—
1736C2×C4—22no—
1737C2×C4—24no—
1738C2×C4—22no—
1739C2×C4—24no—
1740C2×C4—44no—
1741C2×C4—48no—
1742C2×C4—3161no—
1743C2×C4—3161no—
1744C2×C4—3161no—
1745C2×C4—3161no—
1746C2×C4—3168no—
1747C2×C4—3164no—
1748C2×C4—3168no—
1749C2×C4—3168no—
1750C2×C4—3164no—
1751C2×C4—3161no—
1752C2×C4—3161no—
1753C2×C4—3164no—
1754C2×C4—791no—
1755C2×C4—791no—
1756C2×C4—791no—
1757C2×C4—791no—
1758C2×C4—794no—
1759C2×C4—792no—
1760C2×C4—792no—
1761C2×C4—798no—
1762C2×C4—791no—
1763C2×C4—791no—
1764C2×C4—792no—
1765C2×C4—1582no—
1766C2×C4—1582no—
1767C2×C4—1582no—
1768C2×C4—1582no—
1769C2×C4—1582no—
1770C2×C4—1584no—
1771C2×C4—1588no—
1772C2×C4—1582no—
1773C2×C4—1582no—
1774C2×C4—1584no—
1775C2×C4—1582no—
1776C2×C4—1582no—
1777C2×C4—1584no—
1778C2×C4#1457920914yes—
1779C2×C4C24×D7912yes—
1780C2×C4C24×D7914yes—
1781C2×C4C24×D7918yes—
1782C2×C4C24×D7911yescharacteristic
1783C2×C4C24×D7911yescharacteristic
1784C2×C4C24×D7914yes—
1785C2×C4C24×D7912yes—
1786C2×C4C24×D7912yes—
1787C2×C4C24×D7911yescharacteristic
1788C2×C4C24×D7911yescharacteristic
1789C2×C4C24×D7911yescharacteristic
1790C2×C4C24×D7911yescharacteristic
1791C22—21no—
1792C22—21no—
1793C22—22no—
1794C22—22no—
1795C22—22no—
1796C22—3164no—
1797C22—1581no—
1798C22—1581no—
1799C22—1584no—
1800C22—1582no—
1801C22—1584no—
1802C22—1581no—
1803C22—1581no—
1804C22—1582no—
1805C22—1582no—
1806C22—1584no—
1807C22—1581no—
1808C22—1581no—
1809C22C2×#1457920912yes—
1810C22C25×D7911yescharacteristic
1811C4—22no—
1812C4—21no—
1813C4—22no—
1814C4—28no—
1815C4—24no—
1816C4—22no—
1817C4—21no—
1818C4—24no—
1819C4—1581no—
1820C4—1581no—
1821C4—1584no—
1822C4—1582no—
1823C4—1581no—
1824C4—1582no—
1825C4—1581no—
1826C4—1581no—
1827C4—1588no—
1828C4—1581no—
1829C4—1582no—
1830C4C2×#1457920912yes—
1831C4C2×#1457920912yes—
1832C4#1909939812yes—
1833C4#1909940012yes—
1834C2—22no—
1835C2—42no—
1836C2—3161no—
1837C2—3161no—
1838C2—3164no—
1839C2—3162no—
1840C2C22×#1457920911yescharacteristic
1841C2C2×#1909939811yescharacteristic
1842C2C2×#1909940011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3503C2
hypercenter#3503D79
hypocenterC79#62838
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3503

Complements

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

NH ≅ G/Ntype
1. #23778041C2semidirect
2. #23778033C2semidirect
3. #23777889C2semidirect
4. #23777884C2semidirect
5. #23777790C2semidirect
6. #23777785C2semidirect
7. #23777698C2semidirect
8. #23777694C2semidirect
9. #23777418C2semidirect
10. #23777412C2semidirect
11. #23777394C2semidirect
12. #23777390C2semidirect
13. #23777381C2semidirect
14. #23777377C2semidirect
15. #23777317C2semidirect
16. #23777313C2semidirect
17. #23777313C2semidirect
18. #23777312C2semidirect
19. #23777311C2semidirect
20. #23777284C2semidirect
21. #23777279C2semidirect
22. #23777223C2semidirect
23. #23777212C2semidirect
24. #23777121C2semidirect
25. #23777113C2semidirect
26. #23776697C2semidirect
27. #23776693C2semidirect
28. C2×#19099118C2semidirect
29. C79×#3503C2semidirect
34. Q8×Dic158C22semidirect
35. #19099291C22semidirect
36. #19099290C22semidirect
37. #19099289C22semidirect
38. #19099288C22semidirect
39. #19099288C22semidirect
43. #19099287C22semidirect
44. #19099287C22semidirect
45. #19099287C22semidirect
47. #19099286C22semidirect
48. #19099285C22semidirect
50. #19099284C22semidirect
54. #19099279C22semidirect
56. #19099278C22semidirect
58. #19099274C22semidirect
59. #19099274C22semidirect
60. #19099273C22semidirect
61. #19099273C22semidirect
64. #19099269C22semidirect
72. #19099261C22semidirect
75. #19099257C22semidirect
78. #19099252C22semidirect
83. #19099248C22semidirect
84. #19099248C22semidirect
85. #19099247C22semidirect
86. #19099247C22semidirect
87. #19099245C22semidirect
88. Q8×D316C22semidirect
93. #19099224C22semidirect
94. #19099223C22semidirect
96. #19099218C22semidirect
98. #19099216C22semidirect
100. #19099193C22semidirect
101. #19099193C22semidirect
103. #19099190C22semidirect
106. #19099187C22semidirect
107. #19099187C22semidirect
109. #19099186C22semidirect
110. #19099186C22semidirect
112. #19099184C22semidirect
113. #19099183C22semidirect
115. #19099174C22semidirect
116. #19099174C22semidirect
117. #19099173C22semidirect
118. #19099172C22semidirect
120. #19099171C22semidirect
121. #19099164C22semidirect
132. #19099120C22semidirect
143. #19099118C22semidirect
144. #19099118C22semidirect
145. #19099118C22semidirect
151. #19099114C22semidirect
153. #19099113C22semidirect
158. C4⋊Q8×D79C22semidirect
163. #19099100C22semidirect
171. #19099095C22semidirect
178. #125×D79C22semidirect
188. #19099045C22semidirect
190. #19099044C22semidirect
193. #19099041C22semidirect
194. #19099039C22semidirect
205. Q82×C79C22semidirect
206. #557×C79C22semidirect
208. #554×C79C22semidirect
210. D4×Q8×C79C22semidirect
212. #544×C79C22semidirect
214. #533×C79C22semidirect
216. C2×C4⋊Q8×C79C22semidirect
945. #3503D79semidirect
951. C79#62838semidirect
957. Q82C2×D79semidirect
963. #557C2×D79semidirect
991. #554C2×D79semidirect
1017. D4×Q8C2×D79semidirect
1033. #544C2×D79semidirect
1080. #533C2×D79semidirect
1092. C2×C4⋊Q8C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780412
#237780332
#237778892
#237778842
#237777902
#237777852
#237776982
#237776942
#237774182
#237774122
#237773942
#237773902
#237773812
#237773772
#237773172
#237773132
#237773122
#237773112
#237772842
#237772792
#237772232
#237772122
#237771212
#237771132
#237766972
#237766932
C2×#190991182
C79×#35032
#6283879