Finite Group Databasebeta

← #35197245

Subgroups — #35197245

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#23778051C214yesmaximal, complemented
2#23778047C214yesmaximal, complemented
3#23777891C212yesmaximal, complemented
4#23777876C212yesmaximal, complemented
5#23777792C212yesmaximal, complemented
6#23777777C212yesmaximal, complemented
7#23777687C214yesmaximal, complemented
8#23777679C214yesmaximal, complemented
9#23777416C212yesmaximal, complemented
10#23777414C212yesmaximal, complemented
11#23777384C214yesmaximal, complemented
12#23777382C214yesmaximal, complemented
13#23777379C212yesmaximal, complemented
14#23777369C212yesmaximal, complemented
15#23777321C212yesmaximal, complemented
16#23777307C212yesmaximal, complemented
17#23777307C211yesmaximal, characteristic, complemented
18#23777301C212yesmaximal, complemented
19#23777287C212yesmaximal, complemented
20#23777279C212yesmaximal, complemented
21#23777222C212yesmaximal, complemented
22#23777219C211yesmaximal, characteristic, complemented
23#23777216C211yesmaximal, characteristic, complemented
24#23777119C212yesmaximal, complemented
25#23777113C212yesmaximal, complemented
26#23776695C211yesmaximal, characteristic, complemented
27#23776693C211yesmaximal, characteristic, complemented
28C2×#19099118C211yesmaximal, characteristic, complemented
29C79×#3511C211yesmaximal, characteristic, complemented
30#19099315C2218yes—
31#19099314C2218yes—
32#19099310C2218yes—
33#19099307C2218yes—
34Q8×Dic158C2212yescomplemented
35#19099293C2212yescomplemented
36#19099292C2214yescomplemented
37#19099292C2214yescomplemented
38#19099292C2212yescomplemented
39#19099290C2214yescomplemented
40#19099289C2214yescomplemented
41#19099288C2212yescomplemented
42#19099286C2214yes—
43#19099286C2214yes—
44#19099284C2214yes—
45#19099284C2214yes—
46#19099283C2214yescomplemented
47#19099283C2212yescomplemented
48#19099282C2218yescomplemented
49#19099282C2214yescomplemented
50#19099281C2214yes—
51#19099281C2214yes—
52#19099280C2218yescomplemented
53#19099278C2214yes—
54#19099278C2212yescomplemented
55#19099277C2214yes—
56#19099277C2214yes—
57#19099276C2214yes—
58#19099274C2212yescomplemented
59#19099272C2218yes—
60#19099272C2214yescomplemented
61#19099270C2214yes—
62#19099270C2218yes—
63#19099270C2214yescomplemented
64#19099270C2212yescomplemented
65#19099270C2212yescomplemented
66#19099268C2214yes—
67#19099265C2214yes—
68#19099265C2214yes—
69#19099265C2214yes—
70#19099265C2218yes—
71#19099265C2214yescomplemented
72#19099263C2214yes—
73#19099261C2214yes—
74#19099260C2214yescomplemented
75#19099256C2218yes—
76#19099255C2214yes—
77#19099255C2214yes—
78#19099255C2214yes—
79#19099255C2218yescomplemented
80#19099255C2214yescomplemented
81#19099255C2214yescomplemented
82#19099254C2214yes—
83#19099252C2214yescomplemented
84#19099251C2214yes—
85#19099250C2218yescomplemented
86#19099248C2214yes—
87#19099247C2214yescomplemented
88D4×Dic158C2214yes—
89D4×Dic158C2212yescomplemented
90#19099228C2212yescomplemented
91Q8×C22⋊D79C2214yes—
92#19099221C2214yes—
93#19099220C2214yescomplemented
94#19099219C2214yes—
95#19099219C2214yes—
96#19099219C2214yescomplemented
97#19099217C2214yes—
98#19099217C2212yescomplemented
99#19099212C2214yes—
100#19099194C2212yes—
101#19099194C2214yescomplemented
102#19099191C2212yes—
103#19099191C2214yescomplemented
104#19099191C2214yescomplemented
105#19099190C2214yescomplemented
106#19099182C2214yes—
107#19099182C2218yescomplemented
108#19099182C2214yescomplemented
109#19099182C2214yescomplemented
110#19099181C2218yescomplemented
111#19099180C2214yescomplemented
112#19099179C2218yes—
113#19099178C2214yes—
114#19099177C2218yes—
115#19099176C2214yes—
116#19099176C2214yescomplemented
117#19099173C2214yescomplemented
118#19099173C2214yescomplemented
119#19099173C2218yescomplemented
120#19099171C2214yes—
121#19099170C2218yescomplemented
122#19099166C2214yescomplemented
123#19099162C2218yes—
124#19099157C2218yes—
125#19099150C2218yes—
126#19099146C2218yes—
127#19099142C2214yes—
128#19099141C2212yes—
129#19099141C2214yes—
130#19099139C2214yes—
131#19099136C2214yes—
132#19099120C2211yescharacteristic
133#19099120C2212yescomplemented
134#19099118C2212yes—
135#19099118C2212yes—
136#19099118C2211yescharacteristic
137#19099118C2212yes—
138#19099118C2212yes—
139#19099118C2212yes—
140#19099118C2212yes—
141#19099118C2212yes—
142#19099118C2212yes—
143#19099118C2211yescharacteristic
144#19099118C2212yescomplemented
145#19099118C2212yescomplemented
146#19099117C2211yescharacteristic
147#19099117C2211yescharacteristic
148#19099116C2211yescharacteristic
149#19099116C2214yescomplemented
150#19099111C2211yescharacteristic
151#19099111C2211yescharacteristic
152#19099111C2212yescomplemented
153#19099110C2211yescharacteristic
154#19099110C2211yescharacteristic
155#19099109C2211yescharacteristic
156C2×#14579161C2211yescharacteristic
157C2×#14579161C2212yescomplemented
158C4⋊Q8×D79C2212yescomplemented
159#19099100C2211yescharacteristic
160#19099100C2211yescharacteristic
161#19099099C2214yescomplemented
162#19099095C2212yes—
163#19099095C2212yes—
164#19099095C2211yescharacteristic
165#19099095C2211yescharacteristic
166#19099094C2218yes—
167#19099094C2212yes—
168#19099094C2212yes—
169#19099094C2214yescomplemented
170#19099093C2218yes—
171#19099093C2212yes—
172#19099093C2212yes—
173#19099092C2212yes—
174#19099092C2212yes—
175#19099091C2212yes—
176#19099091C2212yes—
177C2×#14579152C2212yes—
178C2×#14579152C2214yescomplemented
179#19099075C2211yescharacteristic
180#19099073C2212yes—
181#19099073C2212yes—
182#19099072C2212yes—
183#19099072C2212yes—
184#19099070C2212yes—
185#19099070C2211yescharacteristic
186C2×#14579141C2212yes—
187C2×#14579137C2212yes—
188#19099046C2212yes—
189#19099046C2212yes—
190#19099046C2214yescomplemented
191#19099044C2212yes—
192#19099042C2214yescomplemented
193#19099040C2214yescomplemented
194#19099039C2214yescomplemented
195#41×Dic79C2212yes—
196C4×#11929624C2212yes—
197C4×#11929624C2211yescharacteristic
198C4×#11929624C2212yes—
199C4×#11929623C2212yes—
200C4×#11929623C2212yes—
201C2×Q8×Dic79C2212yes—
202C2×#14579126C2212yes—
203C2×#14579119C2212yes—
204C2×C42×D79C2211yescharacteristic
205#556×C79C2212yescomplemented
206#555×C79C2212yescomplemented
207#554×C79C2212yescomplemented
208#553×C79C2214yes—
209#548×C79C2214yes—
210#547×C79C2212yescomplemented
211#542×C79C2214yescomplemented
212#537×C79C2212yes—
213#533×C79C2212yescomplemented
214#532×C79C2211yescharacteristic
215#532×C79C2212yescomplemented
216C2×C4⋊Q8×C79C2211yescharacteristic
217#520×C79C2212yes—
218C4×#41×C79C2211yescharacteristic
219C2×#11929624C2311yescharacteristic
220C2×#11929624C2312yes—
221C2×#11929624C2312yes—
222C2×#11929623C2314yes—
223C2×#11929623C2312yes—
224C2×#11929623C2312yes—
225C22×Dic158C2314yes—
226C22×Dic158C2312yes—
227C2×Q8×D79C2314yes—
228C22×C4×D79C2311yescharacteristic
229C22×C4×D79C2311yescharacteristic
230C22×C4×D79C2311yescharacteristic
231#14579161C2318yes—
232#14579161C2314yes—
233#14579161C2314yes—
234#14579161C2312yes—
235#14579161C2314yes—
236#14579161C2312yes—
237#14579161C2312yes—
238#14579161C2311yescharacteristic
239#14579161C2312yes—
240#14579161C2311yescharacteristic
241#14579160C2318yes—
242#14579160C2318yes—
243#14579160C2314yes—
244#14579160C2314yes—
245#14579160C2314yes—
246#14579160C2311yescharacteristic
247#14579160C2314yes—
248#14579160C2311yescharacteristic
249#14579159C2314yes—
250#14579159C2311yescharacteristic
251#14579159C2318yes—
252#14579157C2311yescharacteristic
253#14579156C2318yes—
254#14579156C2318yes—
255#14579156C2318yes—
256#14579156C2318yes—
257#14579156C2318yes—
258#14579156C2312yes—
259#14579156C2312yes—
260#14579155C2318yes—
261#14579154C2318yes—
262#14579154C2314yes—
263#14579154C2318yes—
264#14579154C2318yes—
265#14579154C2318yes—
266#14579154C2314yes—
267#14579154C2318yes—
268#14579154C2318yes—
269#14579154C2318yes—
270#14579154C2312yes—
271#14579154C2312yes—
272#14579153C2318yes—
273#14579153C2312yes—
274#14579153C2314yes—
275#14579152C2318yes—
276#14579152C2318yes—
277#14579152C2318yes—
278#14579152C2314yes—
279#14579152C2318yes—
280#14579152C2314yes—
281#14579152C2318yes—
282#14579152C2318yes—
283#14579152C2314yes—
284#14579152C2314yes—
285#14579152C2314yes—
286#14579152C2314yes—
287#14579152C2312yes—
288#14579152C2312yes—
289#14579152C2314yes—
290#14579152C2314yes—
291#14579152C2311yescharacteristic
292#14579152C2311yescharacteristic
293#14579151C2318yes—
294#14579151C2312yes—
295#14579151C2318yes—
296#14579151C2312yes—
297#14579151C2318yes—
298#14579150C2311yescharacteristic
299#14579149C2318yes—
300#14579148C2314yes—
301#14579148C2318yes—
302#14579148C2312yes—
303#14579148C2312yes—
304#14579148C2311yescharacteristic
305#14579147C2318yes—
306#14579147C2318yes—
307#14579147C2318yes—
308#14579147C2318yes—
309#14579147C2312yes—
310#14579147C2312yes—
311#14579147C2318yes—
312#14579146C2318yes—
313#14579146C2312yes—
314#14579146C2312yes—
315#14579145C2318yes—
316#14579145C2318yes—
317#14579145C2318yes—
318#14579145C2318yes—
319#14579145C2318yes—
320#14579145C2312yes—
321#14579144C2318yes—
322#14579143C2318yes—
323#14579143C2312yes—
324#14579143C2312yes—
325#14579143C2314yes—
326#14579143C2314yes—
327#14579142C2318yes—
328#14579142C2312yes—
329#14579142C2314yes—
330#14579141C2312yes—
331#14579141C2312yes—
332#14579141C2314yes—
333#14579141C2314yes—
334#14579141C2314yes—
335#14579141C2314yes—
336#14579141C2314yes—
337#14579141C2311yescharacteristic
338#14579141C2311yescharacteristic
339#14579141C2314yes—
340#14579140C2314yes—
341#14579140C2314yes—
342#14579140C2318yes—
343#14579140C2314yes—
344#14579140C2318yes—
345#14579140C2318yes—
346#14579140C2312yes—
347#14579140C2312yes—
348#14579139C2318yes—
349#14579139C2312yes—
350#14579139C2312yes—
351#14579138C2318yes—
352#14579138C2318yes—
353#14579138C2318yes—
354#14579138C2318yes—
355#14579138C2318yes—
356#14579138C2318yes—
357#14579138C2318yes—
358#14579138C2318yes—
359#14579138C2312yes—
360#14579138C2312yes—
361#14579137C2314yes—
362#14579137C2314yes—
363#14579137C2314yes—
364#14579137C2314yes—
365#14579137C2318yes—
366#14579137C2314yes—
367#14579137C2312yes—
368#14579137C2311yescharacteristic
369#14579137C2312yes—
370#14579137C2311yescharacteristic
371#14579137C2314yes—
372#14579136C2311yescharacteristic
373#14579136C2311yescharacteristic
374#14579135C2318yes—
375#14579135C2314yes—
376#14579134C2318yes—
377#14579134C2312yes—
378#14579134C2312yes—
379#14579133C2318yes—
380#14579133C2318yes—
381#14579133C2318yes—
382#14579133C2318yes—
383#14579133C2312yes—
384#14579133C2312yes—
385#14579132C2312yes—
386#14579132C2314yes—
387#14579132C2314yes—
388#14579132C2312yes—
389#14579132C2318yes—
390#14579132C2312yes—
391#14579132C2311yescharacteristic
392#14579132C2312yes—
393#14579132C2311yescharacteristic
394#14579131C2312yes—
395#14579129C2314yes—
396#14579129C2312yes—
397Q8×Dic79C2314yes—
398Q8×Dic79C2314yes—
399Q8×Dic79C2314yes—
400Q8×Dic79C2314yes—
401Q8×Dic79C2314yes—
402Q8×Dic79C2314yes—
403Q8×Dic79C2312yes—
404Q8×Dic79C2314yes—
405Q8×Dic79C2312yes—
406C4×Dic158C2318yes—
407C4×Dic158C2314yes—
408C4×Dic158C2318yes—
409C4×Dic158C2314yes—
410C4×Dic158C2318yes—
411C4×Dic158C2312yes—
412C4×Dic158C2312yes—
413C4×Dic158C2311yescharacteristic
414C4×Dic158C2312yes—
415C4×Dic158C2312yes—
416C4×Dic158C2312yes—
417C4×Dic158C2312yes—
418C4×Dic158C2311yescharacteristic
419#14579126C2314yes—
420#14579126C2312yes—
421#14579126C2314yes—
422#14579126C2318yes—
423#14579126C2314yes—
424#14579126C2314yes—
425#14579126C2312yes—
426#14579126C2314yes—
427#14579126C2314yes—
428#14579126C2314yes—
429C4×D316C2312yes—
430C4×D316C2311yescharacteristic
431C4×D316C2312yes—
432C4×D316C2311yescharacteristic
433C4×D316C2312yes—
434C4×D316C2312yes—
435D4×Dic79C2318yes—
436D4×Dic79C2318yes—
437D4×Dic79C2318yes—
438D4×Dic79C2314yes—
439D4×Dic79C2312yes—
440D4×Dic79C2314yes—
441D4×Dic79C2312yes—
442D4×Dic79C2318yes—
443D4×Dic79C2314yes—
444D4×Dic79C2314yes—
445D4×Dic79C2312yes—
446D4×Dic79C2314yes—
447D4×Dic79C2312yes—
448#14579123C2314yes—
449C4×C22⋊D79C2318yes—
450C4×C22⋊D79C2318yes—
451C4×C22⋊D79C2312yes—
452C4×C22⋊D79C2312yes—
453C4×C22⋊D79C2312yes—
454C4×C22⋊D79C2312yes—
455C4×C22⋊D79C2312yes—
456C4×C22⋊D79C2312yes—
457C4×C22⋊D79C2312yes—
458C4×C22⋊D79C2314yes—
459C4×C22⋊D79C2312yes—
460C4×C22⋊D79C2314yes—
461C4×C22⋊D79C2312yes—
462C4×C22⋊D79C2312yes—
463(C22⋊D79)⋊C4C2314yes—
464(C22⋊D79)⋊C4C2314yes—
465(C22⋊D79)⋊C4C2318yes—
466#14579120C2314yes—
467#14579120C2312yes—
468#14579120C2318yes—
469#14579120C2312yes—
470#14579120C2312yes—
471#14579120C2314yes—
472#14579120C2311yescharacteristic
473#14579120C2314yes—
474#14579119C2314yes—
475#14579119C2318yes—
476#14579119C2314yes—
477#14579119C2314yes—
478#14579119C2312yes—
479#14579119C2314yes—
480#14579119C2312yes—
481#14579119C2314yes—
482#14579119C2314yes—
483#14579118C2312yes—
484#14579118C2312yes—
485#14579118C2312yes—
486#14579118C2312yes—
487#14579118C2312yes—
488#14579118C2318yes—
489#14579117C2318yes—
490#14579117C2318yes—
491#14579117C2318yes—
492#14579117C2314yes—
493#14579117C2314yes—
494C2×C4⋊Dic79C2312yes—
495C2×C4⋊Dic79C2314yes—
496C2×C4⋊Dic79C2318yes—
497C2×C4⋊Dic79C2314yes—
498C2×C4⋊Dic79C2314yes—
499C2×C4⋊Dic79C2312yes—
500C2×C4⋊Dic79C2314yes—
501C2×Dic79⋊C4C2318yes—
502C2×Dic79⋊C4C2314yes—
503C4⋊C4×D79C2314yes—
504C4⋊C4×D79C2314yes—
505C2×(C2×D79)⋊C4C2314yes—
506C2×C4×Dic79C2311yescharacteristic
507C2×C4×Dic79C2311yescharacteristic
508C2×C4×Dic79C2311yescharacteristic
509C2×C4×Dic79C2314yes—
510C2×C4×Dic79C2314yes—
511C42×D79C2311yescharacteristic
512C42×D79C2311yescharacteristic
513C42×D79C2311yescharacteristic
514C42×D79C2311yescharacteristic
515C42×D79C2311yescharacteristic
516C42×D79C2311yescharacteristic
517C42×D79C2311yescharacteristic
518C42×D79C2311yescharacteristic
519C42×D79C2312yes—
520C2×#41×C79C2312yes—
521C2×#41×C79C2311yescharacteristic
522C2×#41×C79C2314yes—
523C22×Q8×C79C2312yes—
524C4⋊Q8×C79C2312yes—
525C4⋊Q8×C79C2312yes—
526C4⋊Q8×C79C2312yes—
527C4⋊Q8×C79C2312yes—
528C4⋊Q8×C79C2311yescharacteristic
529#127×C79C2311yescharacteristic
530#126×C79C2318yes—
531#125×C79C2314yes—
532#124×C79C2318yes—
533#124×C79C2314yes—
534#124×C79C2312yes—
535#123×C79C2318yes—
536C22⋊Q8×C79C2314yes—
537C22⋊Q8×C79C2318yes—
538C22⋊Q8×C79C2314yes—
539C22⋊Q8×C79C2314yes—
540#121×C79C2314yes—
541#121×C79C2318yes—
542#121×C79C2314yes—
543#121×C79C2312yes—
544#121×C79C2312yes—
545#121×C79C2314yes—
546C4×Q8×C79C2314yes—
547C4×Q8×C79C2311yescharacteristic
548C4×Q8×C79C2311yescharacteristic
549C4×Q8×C79C2314yes—
550C4×D4×C79C2318yes—
551C4×D4×C79C2314yes—
552C4×D4×C79C2312yes—
553C4×D4×C79C2312yes—
554C4×D4×C79C2311yescharacteristic
555C4×D4×C79C2311yescharacteristic
556C4×D4×C79C2312yes—
557C4×D4×C79C2314yes—
558C4×D4×C79C2312yes—
559#117×C79C2314yes—
560#117×C79C2311yescharacteristic
561#117×C79C2312yes—
562#117×C79C2314yes—
563C2×C4⋊C4×C79C2312yes—
564C2×C4⋊C4×C79C2314yes—
565C2×C4⋊C4×C79C2312yes—
566C2×C42×C79C2311yescharacteristic
567C2×C42×C79C2312yes—
568C23×D79C2411yescharacteristic
569#11929624—24no—
570#11929624—44no—
571#11929624—44no—
572#11929623—44no—
573#11929623—48no—
574#11929623—44no—
575C2×Dic158—44no—
576C2×Dic158—48no—
577C2×Dic158C2412yes—
578C2×Dic158C2412yes—
579C2×Dic158C2414yes—
580C2×Dic158C2411yescharacteristic
581C2×Dic158C2418yes—
582C2×Dic158C2414yes—
583C2×Dic158C2418yes—
584C2×Dic158C2412yes—
585C2×Dic158C2412yes—
586Q8×D79—48no—
587C2×D316C2411yescharacteristic
588C2×D316C2412yes—
589C2×D316C2412yes—
590C2×C22⋊D79C2412yes—
591C2×C22⋊D79C2414yes—
592C2×C22⋊D79C2414yes—
593C2×C22⋊D79C2418yes—
594C2×C22⋊D79C2412yes—
595C2×C22⋊D79C2412yes—
596C2×C22⋊D79C2412yes—
597C2×C22⋊D79C2412yes—
598C22×Dic79C2411yescharacteristic
599C22×Dic79C2414yes—
600C22×Dic79C2418yes—
601C22×Dic79C2414yes—
602C22×Dic79C2414yes—
603C22×Dic79C2418yes—
604C22×Dic79C2411yescharacteristic
605C22×Dic79C2411yescharacteristic
606C2×C4×D79—24no—
607C2×C4×D79—42no—
608C2×C4×D79—42no—
609C2×C4×D79C2412yes—
610C2×C4×D79C2412yes—
611C2×C4×D79C2411yescharacteristic
612C2×C4×D79C2411yescharacteristic
613C2×C4×D79C2411yescharacteristic
614C2×C4×D79C2411yescharacteristic
615C2×C4×D79C2412yes—
616C2×C4×D79C2411yescharacteristic
617C2×C4×D79C2411yescharacteristic
618C2×C4×D79C2411yescharacteristic
619C2×C4×D79C2411yescharacteristic
620C2×C4×D79C2418yes—
621C2×C4×D79C2411yescharacteristic
622C2×C4×D79C2411yescharacteristic
623C2×C4×D79C2411yescharacteristic
624C2×C4×D79C2411yescharacteristic
625C4⋊Dic79C2412yes—
626C4⋊Dic79C2412yes—
627C4⋊Dic79C2411yescharacteristic
628C4⋊Dic79C2412yes—
629C4⋊Dic79C2414yes—
630C4⋊Dic79C2412yes—
631C4⋊Dic79C2414yes—
632C4⋊Dic79C2412yes—
633C4⋊Dic79C2414yes—
634C4⋊Dic79C2418yes—
635C4⋊Dic79C2418yes—
636C4⋊Dic79C2418yes—
637C4⋊Dic79C2418yes—
638C4⋊Dic79C2418yes—
639C4⋊Dic79C2418yes—
640C4⋊Dic79C2414yes—
641C4⋊Dic79C2411yescharacteristic
642C4⋊Dic79C2412yes—
643C4⋊Dic79C2414yes—
644C4⋊Dic79C2414yes—
645C4⋊Dic79C2412yes—
646C4⋊Dic79C2412yes—
647Dic79⋊C4C2418yes—
648Dic79⋊C4C2418yes—
649Dic79⋊C4C2412yes—
650Dic79⋊C4C2418yes—
651Dic79⋊C4C2418yes—
652Dic79⋊C4C2418yes—
653Dic79⋊C4C2412yes—
654Dic79⋊C4C2414yes—
655Dic79⋊C4C2414yes—
656Dic79⋊C4C2414yes—
657Dic79⋊C4C2414yes—
658Dic79⋊C4C2418yes—
659Dic79⋊C4C2418yes—
660Dic79⋊C4C2412yes—
661Dic79⋊C4C2412yes—
662Dic79⋊C4C2412yes—
663Dic79⋊C4C2412yes—
664Dic79⋊C4C2412yes—
665Dic79⋊C4C2412yes—
666Dic79⋊C4C2412yes—
667Dic79⋊C4C2412yes—
668Dic79⋊C4C2418yes—
669C22⋊Dic79C2412yes—
670C22⋊Dic79C2412yes—
671C22⋊Dic79C2414yes—
672C22⋊Dic79C2414yes—
673C22⋊Dic79C2412yes—
674C22⋊Dic79C2414yes—
675C22⋊Dic79C2412yes—
676C22⋊Dic79C2412yes—
677C22⋊Dic79C2414yes—
678C22⋊Dic79C2414yes—
679C22⋊Dic79C2418yes—
680C22⋊Dic79C2418yes—
681C22⋊Dic79C2418yes—
682(C2×D79)⋊C4C2418yes—
683(C2×D79)⋊C4C2418yes—
684(C2×D79)⋊C4C2412yes—
685(C2×D79)⋊C4C2412yes—
686(C2×D79)⋊C4C2418yes—
687(C2×D79)⋊C4C2412yes—
688(C2×D79)⋊C4C2412yes—
689(C2×D79)⋊C4C2412yes—
690(C2×D79)⋊C4C2412yes—
691(C2×D79)⋊C4C2412yes—
692(C2×D79)⋊C4C2412yes—
693(C2×D79)⋊C4C2412yes—
694(C2×D79)⋊C4C2412yes—
695(C2×D79)⋊C4C2414yes—
696(C2×D79)⋊C4C2414yes—
697(C2×D79)⋊C4C2418yes—
698C4×Dic79C2411yescharacteristic
699C4×Dic79C2411yescharacteristic
700C4×Dic79C2411yescharacteristic
701C4×Dic79C2411yescharacteristic
702C4×Dic79C2411yescharacteristic
703C4×Dic79C2411yescharacteristic
704C4×Dic79C2411yescharacteristic
705C4×Dic79C2411yescharacteristic
706C4×Dic79C2411yescharacteristic
707C4×Dic79C2411yescharacteristic
708C4×Dic79C2411yescharacteristic
709C4×Dic79C2411yescharacteristic
710C4×Dic79C2412yes—
711C4×Dic79C2412yes—
712C4×Dic79C2412yes—
713C4×Dic79C2414yes—
714C4×Dic79C2418yes—
715C4×Dic79C2414yes—
716C4×Dic79C2418yes—
717C4×Dic79C2414yes—
718C4×Dic79C2418yes—
719C4×Dic79C2418yes—
720C4×Dic79C2418yes—
721#41×C79—28no—
722#41×C79—24no—
723#41×C79—48no—
724C2×Q8×C79—44no—
725C2×Q8×C79C2414yes—
726C2×Q8×C79C2411yescharacteristic
727C2×Q8×C79C2412yes—
728C2×Q8×C79C2414yes—
729C2×D4×C79C2412yes—
730C2×D4×C79C2412yes—
731C2×D4×C79C2414yes—
732C2×D4×C79C2412yes—
733C2×D4×C79C2411yescharacteristic
734C2×D4×C79C2412yes—
735C2×D4×C79C2418yes—
736C22×C4×C79C2412yes—
737C22×C4×C79C2411yescharacteristic
738C22×C4×C79C2412yes—
739C22×C4×C79C2412yes—
740C22×C4×C79C2411yescharacteristic
741C22×C4×C79C2414yes—
742C22×C4×C79C2414yes—
743C22×C4×C79C2418yes—
744C22×C4×C79C2411yescharacteristic
745C4⋊C4×C79C2411yescharacteristic
746C4⋊C4×C79C2414yes—
747C4⋊C4×C79C2414yes—
748C4⋊C4×C79C2414yes—
749C4⋊C4×C79C2418yes—
750C4⋊C4×C79C2414yes—
751C4⋊C4×C79C2411yescharacteristic
752C4⋊C4×C79C2412yes—
753C4⋊C4×C79C2412yes—
754C4⋊C4×C79C2412yes—
755C4⋊C4×C79C2412yes—
756C4⋊C4×C79C2418yes—
757C22⋊C4×C79C2412yes—
758C22⋊C4×C79C2418yes—
759C22⋊C4×C79C2412yes—
760C22⋊C4×C79C2412yes—
761C22⋊C4×C79C2418yes—
762C22⋊C4×C79C2418yes—
763C22⋊C4×C79C2414yes—
764C22⋊C4×C79C2414yes—
765C42×C79C2411yescharacteristic
766C42×C79C2412yes—
767C42×C79C2411yescharacteristic
768C42×C79C2412yes—
769C42×C79C2411yescharacteristic
770C42×C79C2411yescharacteristic
771C42×C79C2412yes—
772C42×C79C2418yes—
773C23×C79C2514yes—
774C23×C79C2512yes—
775C23×C79C2511yescharacteristic
776C22×D79—22no—
777C22×D79—41no—
778C22×D79—41no—
779C22×D79C2511yescharacteristic
780C22×D79C2511yescharacteristic
781C22×D79C2512yes—
782Q8×C79—22no—
783Q8×C79—24no—
784Q8×C79—28no—
785Q8×C79—44no—
786D4×C79—28no—
787D4×C79—24no—
788D4×C79—22no—
789D4×C79—24no—
790D4×C79—24no—
791D4×C79—24no—
792D4×C79—48no—
793C2×C4×C79—28no—
794C2×C4×C79—24no—
795C2×C4×C79—22no—
796C2×C4×C79—22no—
797C2×C4×C79—24no—
798C2×C4×C79—24no—
799C2×C4×C79—44no—
800C2×C4×C79—48no—
801C2×C4×C792−1+414yes—
802C2×C4×C79C2514yes—
803C2×C4×C79C2512yes—
804C2×C4×C79C2518yes—
805C2×C4×C79C2511yescharacteristic
806C2×C4×C79C2511yescharacteristic
807C2×C4×C79C2512yes—
808C2×C4×C79C2512yes—
809C2×C4×C79C2511yescharacteristic
810C2×C4×C79C2511yescharacteristic
811C2×C4×C79C2511yescharacteristic
812C2×C4×C79C2511yescharacteristic
813C22⋊D79—24no—
814C22⋊D79—44no—
815C22⋊D79—48no—
816C22⋊D79—44no—
817C22⋊D79—42no—
818C22⋊D79—42no—
819C22⋊D79—42no—
820C22⋊D79—42no—
821C2×Dic79—22no—
822C2×Dic79—41no—
823C2×Dic79—41no—
824C2×Dic79—44no—
825C2×Dic79—48no—
826C2×Dic79—44no—
827C2×Dic79—48no—
828C2×Dic79—44no—
829C2×Dic79C2511yescharacteristic
830C2×Dic79C2511yescharacteristic
831C2×Dic79C2511yescharacteristic
832C2×Dic79C2511yescharacteristic
833C2×Dic79C2512yes—
834C2×Dic79C2512yes—
835C2×Dic79C2514yes—
836C2×Dic79C2518yes—
837C2×Dic79C2514yes—
838C2×Dic79C2511yescharacteristic
839C2×Dic79C2511yescharacteristic
840C2×Dic79C2512yes—
841D316—22no—
842D316—42no—
843D316—42no—
844C4×D79—22no—
845C4×D79—22no—
846C4×D79—22no—
847C4×D79—22no—
848C4×D79—24no—
849C4×D79—22no—
850C4×D79—22no—
851C4×D79—22no—
852C4×D79—22no—
853C4×D79—24no—
854C4×D79—24no—
855C4×D79—41no—
856C4×D79—41no—
857C4×D79—41no—
858C4×D79—41no—
859C4×D79—48no—
860Dic158—22no—
861Dic158—24no—
862Dic158—28no—
863Dic158—24no—
864Dic158—48no—
865Dic158—48no—
866Dic158—44no—
867Dic158—42no—
868Dic158—42no—
869C22×C79—21no—
870C22×C79—21no—
871C22×C79—24no—
872C22×C79—22no—
873C22×C79—24no—
874C22×C79—22no—
875C22×C79—22no—
876C22×C79—24no—
877C22×C79C2×2−1+412yes—
878C22×C79C2611yescharacteristic
879C2×D79—22no—
880C2×D79—21no—
881C2×D79—21no—
882C2×D79—22no—
883C2×D79—21no—
884C2×D79—21no—
885C2×D79—21no—
886C2×D79—21no—
887C2×D79—22no—
888C2×D79—44no—
889C4×C79—24no—
890C4×C79—22no—
891C4×C79—22no—
892C4×C79—21no—
893C4×C79—22no—
894C4×C79—21no—
895C4×C79—28no—
896C4×C79C2×2−1+412yes—
897C4×C79C2×2−1+412yes—
898C4×C79#58512yes—
899C4×C79#58512yes—
900Dic79—22no—
901Dic79—21no—
902Dic79—21no—
903Dic79—21no—
904Dic79—21no—
905Dic79—24no—
906Dic79—28no—
907Dic79—24no—
908Dic79—22no—
909Dic79—22no—
910Dic79—21no—
911Dic79—21no—
912#62838—791nomaximal, Sylow
913C2×C79—22no—
914C2×C79—44no—
915C2×C79—42no—
916C2×C79C22×2−1+411yescharacteristic
917C2×C79C2×#58511yescharacteristic
918C2×C79C2×#58511yescharacteristic
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—791no—
938#3511—792no—
939#3511—792no—
940#3511D7911yescharacteristic, complemented
941#3509—792no—
942#3509—792no—
943#3504—792no—
944#3503—791no—
945#3503—791no—
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—
957Q82—792no—
958#557—792no—
959#557—794no—
960#557—794no—
961#557—792no—
962#557—794no—
963#557—794no—
964#556—798no—
965#556—794no—
966#556—798no—
967#556—794no—
968#556—794no—
969#556—794no—
970#556—794no—
971#556—794no—
972#556—792no—
973#556—794no—
974#556—794no—
975#556C2×D7912yescomplemented
976#555—794no—
977#555—794no—
978#555—794no—
979#555—792no—
980#555—794no—
981#555C2×D7912yescomplemented
982#554—792no—
983#554—794no—
984#554—798no—
985#554—792no—
986#554—794no—
987#554—792no—
988#554—798no—
989#554—794no—
990#554—794no—
991#554C2×D7912yescomplemented
992#553—798no—
993#553—794no—
994#553—794no—
995#553—794no—
996#553—794no—
997#553—798no—
998#553—794no—
999#553—794no—
1000#553—794no—
1001#553C2×D7914yes—
1002#552—794no—
1003#552—798no—
1004#552—794no—
1005#552—794no—
1006#552—794no—
1007#552—794no—
1008#552—794no—
1009#552—794no—
1010#552—798no—
1011#552—794no—
1012#552—794no—
1013#552—794no—
1014D4×Q8—794no—
1015D4×Q8—792no—
1016D4×Q8—794no—
1017D4×Q8—792no—
1018#548—794no—
1019#548—794no—
1020#548—794no—
1021#548—794no—
1022#548—794no—
1023#548C2×D7914yes—
1024#547—794no—
1025#547—794no—
1026#547—792no—
1027#547C2×D7912yescomplemented
1028#544—794no—
1029#544—792no—
1030#544—794no—
1031#544—794no—
1032#544—792no—
1033#544—794no—
1034#542—798no—
1035#542—798no—
1036#542—794no—
1037#542—794no—
1038#542—794no—
1039#542—798no—
1040#542—798no—
1041#542—794no—
1042#542—794no—
1043#542C2×D7914yescomplemented
1044#541—798no—
1045#541—794no—
1046#541—794no—
1047#541—794no—
1048#541—794no—
1049#541—798no—
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—794no—
1059#537C2×D7912yes—
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—792no—
1074#533—791no—
1075#533—791no—
1076#533—791no—
1077#533—794no—
1078#533—791no—
1079#533—792no—
1080#533C2×D7912yescomplemented
1081#532—791no—
1082#532—791no—
1083#532—791no—
1084#532—792no—
1085#532—791no—
1086#532—791no—
1087#532C2×D7911yescharacteristic
1088#532C2×D7912yescomplemented
1089C2×C4⋊Q8—792no—
1090C2×C4⋊Q8—791no—
1091C2×C4⋊Q8—792no—
1092C2×C4⋊Q8C2×D7911yescharacteristic
1093#529—792no—
1094#529—792no—
1095#529—794no—
1096#529—792no—
1097#529—792no—
1098#529—798no—
1099#529—794no—
1100#529—791no—
1101#529—791no—
1102#529—791no—
1103#529—792no—
1104#529—792no—
1105#529—791no—
1106#529—792no—
1107#529—792no—
1108#529—798no—
1109#529—792no—
1110#529—792no—
1111C2×#125—792no—
1112C2×#125—794no—
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—792no—
1123#520—792no—
1124#520—794no—
1125#520—794no—
1126#520—792no—
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—791no—
1147C2×#41C22×D7912yes—
1148C2×#41C22×D7911yescharacteristic
1149C2×#41C22×D7914yes—
1150C22×Q8—794no—
1151C22×Q8—792no—
1152C22×Q8—794no—
1153C22×Q8C22×D7912yes—
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—794no—
1165C4⋊Q8—794no—
1166C4⋊Q8—798no—
1167C4⋊Q8—798no—
1168C4⋊Q8—791no—
1169C4⋊Q8—792no—
1170C4⋊Q8—791no—
1171C4⋊Q8—792no—
1172C4⋊Q8—792no—
1173C4⋊Q8—792no—
1174C4⋊Q8—794no—
1175C4⋊Q8—794no—
1176C4⋊Q8—794no—
1177C4⋊Q8—798no—
1178C4⋊Q8C22×D7912yes—
1179C4⋊Q8C22×D7912yes—
1180C4⋊Q8C22×D7912yes—
1181C4⋊Q8C22×D7912yes—
1182C4⋊Q8C22×D7911yescharacteristic
1183#127—791no—
1184#127C22×D7911yescharacteristic
1185#126—792no—
1186#126—792no—
1187#126—798no—
1188#126—798no—
1189#126—798no—
1190#126—798no—
1191#126—798no—
1192#126—794no—
1193#126—794no—
1194#126—792no—
1195#126—792no—
1196#126—798no—
1197#126—798no—
1198#126—798no—
1199#126—798no—
1200#126—798no—
1201#126—798no—
1202#126—798no—
1203#126—798no—
1204#126C22×D7918yes—
1205#125—791no—
1206#125—794no—
1207#125—794no—
1208#125—794no—
1209#125—794no—
1210#125—798no—
1211#125—798no—
1212#125—794no—
1213#125—794no—
1214#125—791no—
1215#125—792no—
1216#125—792no—
1217#125—792no—
1218#125—792no—
1219#125—798no—
1220#125—798no—
1221#125—794no—
1222#125—794no—
1223#125—798no—
1224#125—798no—
1225#125—798no—
1226#125—798no—
1227#125—798no—
1228#125—792no—
1229#125—794no—
1230#125—798no—
1231#125C22×D7914yes—
1232#124—791no—
1233#124—791no—
1234#124—792no—
1235#124—792no—
1236#124—798no—
1237#124—794no—
1238#124—792no—
1239#124—792no—
1240#124—798no—
1241#124—798no—
1242#124—798no—
1243#124—798no—
1244#124—798no—
1245#124—798no—
1246#124C22×D7912yes—
1247#124C22×D7914yes—
1248#124C22×D7918yes—
1249#123—792no—
1250#123—794no—
1251#123—798no—
1252#123—798no—
1253#123—792no—
1254#123—792no—
1255#123—798no—
1256#123—792no—
1257#123—792no—
1258#123—792no—
1259#123—794no—
1260#123—794no—
1261#123—798no—
1262#123—798no—
1263#123—798no—
1264#123—798no—
1265#123—798no—
1266#123—798no—
1267#123C22×D7918yes—
1268C22⋊Q8—794no—
1269C22⋊Q8—794no—
1270C22⋊Q8—794no—
1271C22⋊Q8—794no—
1272C22⋊Q8—791no—
1273C22⋊Q8—792no—
1274C22⋊Q8—792no—
1275C22⋊Q8—791no—
1276C22⋊Q8—794no—
1277C22⋊Q8—794no—
1278C22⋊Q8—798no—
1279C22⋊Q8—792no—
1280C22⋊Q8—792no—
1281C22⋊Q8—794no—
1282C22⋊Q8—798no—
1283C22⋊Q8—794no—
1284C22⋊Q8—794no—
1285C22⋊Q8—798no—
1286C22⋊Q8—798no—
1287C22⋊Q8—794no—
1288C22⋊Q8—794no—
1289C22⋊Q8—794no—
1290C22⋊Q8—794no—
1291C22⋊Q8—792no—
1292C22⋊Q8—792no—
1293C22⋊Q8—791no—
1294C22⋊Q8—791no—
1295C22⋊Q8—792no—
1296C22⋊Q8—792no—
1297C22⋊Q8—794no—
1298C22⋊Q8—794no—
1299C22⋊Q8—798no—
1300C22⋊Q8—792no—
1301C22⋊Q8—792no—
1302C22⋊Q8—798no—
1303C22⋊Q8—798no—
1304C22⋊Q8—798no—
1305C22⋊Q8—798no—
1306C22⋊Q8—798no—
1307C22⋊Q8—798no—
1308C22⋊Q8—798no—
1309C22⋊Q8—798no—
1310C22⋊Q8C22×D7914yes—
1311C22⋊Q8C22×D7914yes—
1312C22⋊Q8C22×D7914yes—
1313C22⋊Q8C22×D7918yes—
1314#121—792no—
1315#121—792no—
1316#121—791no—
1317#121—792no—
1318#121—792no—
1319#121—792no—
1320#121—792no—
1321#121—791no—
1322#121—798no—
1323#121—794no—
1324#121—794no—
1325#121—798no—
1326#121—798no—
1327#121—798no—
1328#121—798no—
1329#121—794no—
1330#121—798no—
1331#121—791no—
1332#121—791no—
1333#121—792no—
1334#121—792no—
1335#121—798no—
1336#121C22×D7912yes—
1337#121C22×D7912yes—
1338#121C22×D7918yes—
1339#121C22×D7914yes—
1340#121C22×D7914yes—
1341#121C22×D7914yes—
1342#120—792no—
1343#120—794no—
1344#120—792no—
1345C4×Q8—794no—
1346C4×Q8—794no—
1347C4×Q8—794no—
1348C4×Q8—794no—
1349C4×Q8—792no—
1350C4×Q8—792no—
1351C4×Q8—794no—
1352C4×Q8—794no—
1353C4×Q8—794no—
1354C4×Q8—794no—
1355C4×Q8—794no—
1356C4×Q8—794no—
1357C4×Q8—794no—
1358C4×Q8—792no—
1359C4×Q8—792no—
1360C4×Q8—798no—
1361C4×Q8—794no—
1362C4×Q8—794no—
1363C4×Q8—794no—
1364C4×Q8—792no—
1365C4×Q8—792no—
1366C4×Q8—792no—
1367C4×Q8—792no—
1368C4×Q8—791no—
1369C4×Q8—792no—
1370C4×Q8—792no—
1371C4×Q8—791no—
1372C4×Q8—798no—
1373C4×Q8—794no—
1374C4×Q8—798no—
1375C4×Q8—798no—
1376C4×Q8—794no—
1377C4×Q8C22×D7911yescharacteristic
1378C4×Q8C22×D7911yescharacteristic
1379C4×Q8C22×D7914yes—
1380C4×Q8C22×D7914yes—
1381C4×D4—792no—
1382C4×D4—792no—
1383C4×D4—794no—
1384C4×D4—794no—
1385C4×D4—792no—
1386C4×D4—792no—
1387C4×D4—798no—
1388C4×D4—798no—
1389C4×D4—798no—
1390C4×D4—794no—
1391C4×D4—798no—
1392C4×D4—794no—
1393C4×D4—794no—
1394C4×D4—792no—
1395C4×D4—792no—
1396C4×D4—792no—
1397C4×D4—792no—
1398C4×D4—792no—
1399C4×D4—794no—
1400C4×D4—794no—
1401C4×D4—792no—
1402C4×D4—792no—
1403C4×D4—792no—
1404C4×D4—792no—
1405C4×D4—792no—
1406C4×D4—798no—
1407C4×D4—798no—
1408C4×D4—794no—
1409C4×D4—794no—
1410C4×D4—794no—
1411C4×D4—798no—
1412C4×D4—792no—
1413C4×D4—792no—
1414C4×D4—792no—
1415C4×D4—792no—
1416C4×D4—791no—
1417C4×D4—791no—
1418C4×D4C22×D7912yes—
1419C4×D4C22×D7912yes—
1420C4×D4C22×D7912yes—
1421C4×D4C22×D7912yes—
1422C4×D4C22×D7911yescharacteristic
1423C4×D4C22×D7911yescharacteristic
1424C4×D4C22×D7914yes—
1425C4×D4C22×D7918yes—
1426C4×D4C22×D7914yes—
1427#117—792no—
1428#117—791no—
1429#117—792no—
1430#117—792no—
1431#117—794no—
1432#117—798no—
1433#117—794no—
1434#117—794no—
1435#117—794no—
1436#117—794no—
1437#117—794no—
1438#117—794no—
1439#117—792no—
1440#117—792no—
1441#117—798no—
1442#117—794no—
1443#117—794no—
1444#117—794no—
1445#117—794no—
1446#117—798no—
1447#117—798no—
1448#117—798no—
1449#117—792no—
1450#117—792no—
1451#117—792no—
1452#117—792no—
1453#117—792no—
1454#117—798no—
1455#117C22×D7911yescharacteristic
1456#117C22×D7912yes—
1457#117C22×D7914yes—
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⋊C4—794no—
1470C2×C4⋊C4C22×D7912yes—
1471C2×C4⋊C4C22×D7912yes—
1472C2×C4⋊C4C22×D7914yes—
1473C2×C22⋊C4—794no—
1474C2×C42—794no—
1475C2×C42—791no—
1476C2×C42—791no—
1477C2×C42—794no—
1478C2×C42—791no—
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—28no—
1492#41—24no—
1493#41—48no—
1494#41—3164no—
1495#41—3164no—
1496#41—3164no—
1497#41—3164no—
1498#41—3168no—
1499#41—1584no—
1500C2×Q8—44no—
1501C2×Q8—3164no—
1502C2×Q8—3168no—
1503C2×Q8—3168no—
1504C2×Q8—794no—
1505C2×Q8—792no—
1506C2×Q8—792no—
1507C2×Q8—798no—
1508C2×Q8—798no—
1509C2×Q8—791no—
1510C2×Q8—792no—
1511C2×Q8—794no—
1512C2×Q8—792no—
1513C2×Q8C23×D7912yes—
1514C2×Q8C23×D7911yescharacteristic
1515C2×Q8C23×D7914yes—
1516C2×Q8C23×D7914yes—
1517C2×D4—792no—
1518C2×D4—794no—
1519C2×D4—794no—
1520C2×D4—792no—
1521C2×D4—798no—
1522C2×D4—792no—
1523C2×D4—792no—
1524C2×D4—792no—
1525C2×D4—792no—
1526C2×D4—792no—
1527C2×D4—791no—
1528C2×D4C23×D7914yes—
1529C2×D4C23×D7912yes—
1530C2×D4C23×D7912yes—
1531C2×D4C23×D7911yescharacteristic
1532C2×D4C23×D7912yes—
1533C2×D4C23×D7912yes—
1534C2×D4C23×D7918yes—
1535C22×C4—3162no—
1536C22×C4—3162no—
1537C22×C4—791no—
1538C22×C4—791no—
1539C22×C4—794no—
1540C22×C4—794no—
1541C22×C4—794no—
1542C22×C4—798no—
1543C22×C4—798no—
1544C22×C4—791no—
1545C22×C4—791no—
1546C22×C4—791no—
1547C22×C4—791no—
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—792no—
1560C22×C4—792no—
1561C22×C4—1584no—
1562C22×C4C23×D7911yescharacteristic
1563C22×C4C23×D7911yescharacteristic
1564C22×C4C23×D7914yes—
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—792no—
1578C4⋊C4—794no—
1579C4⋊C4—794no—
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—798no—
1592C4⋊C4—798no—
1593C4⋊C4—791no—
1594C4⋊C4—792no—
1595C4⋊C4—794no—
1596C4⋊C4—792no—
1597C4⋊C4—794no—
1598C4⋊C4—792no—
1599C4⋊C4—794no—
1600C4⋊C4—792no—
1601C4⋊C4—792no—
1602C4⋊C4—798no—
1603C4⋊C4—798no—
1604C4⋊C4—798no—
1605C4⋊C4—798no—
1606C4⋊C4—798no—
1607C4⋊C4—798no—
1608C4⋊C4—794no—
1609C4⋊C4—791no—
1610C4⋊C4—792no—
1611C4⋊C4—792no—
1612C4⋊C4—792no—
1613C4⋊C4—794no—
1614C4⋊C4—794no—
1615C4⋊C4C23×D7914yes—
1616C4⋊C4C23×D7914yes—
1617C4⋊C4C23×D7911yescharacteristic
1618C4⋊C4C23×D7914yes—
1619C4⋊C4C23×D7918yes—
1620C4⋊C4C23×D7914yes—
1621C4⋊C4C23×D7912yes—
1622C4⋊C4C23×D7912yes—
1623C4⋊C4C23×D7918yes—
1624C4⋊C4C23×D7911yescharacteristic
1625C4⋊C4C23×D7912yes—
1626C4⋊C4C23×D7912yes—
1627C22⋊C4—792no—
1628C22⋊C4—792no—
1629C22⋊C4—794no—
1630C22⋊C4—794no—
1631C22⋊C4—792no—
1632C22⋊C4—794no—
1633C22⋊C4—792no—
1634C22⋊C4—792no—
1635C22⋊C4—794no—
1636C22⋊C4—794no—
1637C22⋊C4—798no—
1638C22⋊C4—798no—
1639C22⋊C4—798no—
1640C22⋊C4—798no—
1641C22⋊C4—798no—
1642C22⋊C4—792no—
1643C22⋊C4—792no—
1644C22⋊C4—798no—
1645C22⋊C4—792no—
1646C22⋊C4—792no—
1647C22⋊C4—792no—
1648C22⋊C4—792no—
1649C22⋊C4—794no—
1650C22⋊C4—794no—
1651C22⋊C4—792no—
1652C22⋊C4—792no—
1653C22⋊C4—798no—
1654C22⋊C4—792no—
1655C22⋊C4—792no—
1656C22⋊C4C23×D7918yes—
1657C22⋊C4C23×D7918yes—
1658C22⋊C4C23×D7914yes—
1659C22⋊C4C23×D7914yes—
1660C22⋊C4C23×D7912yes—
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—794no—
1683C42—792no—
1684C42—798no—
1685C42—798no—
1686C42—798no—
1687C42C23×D7911yescharacteristic
1688C42C23×D7911yescharacteristic
1689C42C23×D7911yescharacteristic
1690C42C23×D7911yescharacteristic
1691C42C23×D7912yes—
1692C42C23×D7912yes—
1693C42C23×D7912yes—
1694C42C23×D7918yes—
1695C23—3161no—
1696C23—3161no—
1697C23—791no—
1698C23—791no—
1699C23—792no—
1700C23—1582no—
1701C23C24×D7912yes—
1702C23C24×D7914yes—
1703C23C24×D7911yescharacteristic
1704Q8—22no—
1705Q8—24no—
1706Q8—28no—
1707Q8—44no—
1708Q8—3168no—
1709Q8—3164no—
1710Q8—3168no—
1711Q8—3162no—
1712Q8—3162no—
1713Q8—1582no—
1714Q8—1584no—
1715Q8—1588no—
1716Q8—1584no—
1717D4—28no—
1718D4—24no—
1719D4—22no—
1720D4—24no—
1721D4—24no—
1722D4—24no—
1723D4—48no—
1724D4—3162no—
1725D4—3162no—
1726D4—3164no—
1727D4—3162no—
1728D4—3162no—
1729D4—3162no—
1730D4—3164no—
1731D4—3168no—
1732D4—3162no—
1733D4—1584no—
1734D4—1582no—
1735C2×C4—28no—
1736C2×C4—24no—
1737C2×C4—22no—
1738C2×C4—24no—
1739C2×C4—22no—
1740C2×C4—24no—
1741C2×C4—44no—
1742C2×C4—48no—
1743C2×C4—3161no—
1744C2×C4—3161no—
1745C2×C4—3161no—
1746C2×C4—3161no—
1747C2×C4—3168no—
1748C2×C4—3161no—
1749C2×C4—3161no—
1750C2×C4—3164no—
1751C2×C4—3168no—
1752C2×C4—3164no—
1753C2×C4—3164no—
1754C2×C4—3168no—
1755C2×C4—791no—
1756C2×C4—791no—
1757C2×C4—791no—
1758C2×C4—791no—
1759C2×C4—792no—
1760C2×C4—792no—
1761C2×C4—794no—
1762C2×C4—794no—
1763C2×C4—798no—
1764C2×C4—791no—
1765C2×C4—791no—
1766C2×C4—792no—
1767C2×C4—1582no—
1768C2×C4—1582no—
1769C2×C4—1582no—
1770C2×C4—1582no—
1771C2×C4—1582no—
1772C2×C4—1584no—
1773C2×C4—1582no—
1774C2×C4—1582no—
1775C2×C4—1584no—
1776C2×C4—1582no—
1777C2×C4—1582no—
1778C2×C4—1584no—
1779C2×C4#1457920814yes—
1780C2×C4C24×D7914yes—
1781C2×C4C24×D7912yes—
1782C2×C4C24×D7918yes—
1783C2×C4C24×D7911yescharacteristic
1784C2×C4C24×D7911yescharacteristic
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—24no—
1795C22—22no—
1796C22—24no—
1797C22—22no—
1798C22—24no—
1799C22—3164no—
1800C22—1581no—
1801C22—1581no—
1802C22—1582no—
1803C22—1582no—
1804C22—1581no—
1805C22—1581no—
1806C22—1581no—
1807C22—1581no—
1808C22—1582no—
1809C22C2×#1457920812yes—
1810C22C25×D7911yescharacteristic
1811C4—24no—
1812C4—22no—
1813C4—22no—
1814C4—21no—
1815C4—28no—
1816C4—21no—
1817C4—22no—
1818C4—1581no—
1819C4—1581no—
1820C4—1582no—
1821C4—1581no—
1822C4—1584no—
1823C4—1581no—
1824C4—1582no—
1825C4—1581no—
1826C4—1582no—
1827C4—1588no—
1828C4—1584no—
1829C4—1581no—
1830C4C2×#1457920812yes—
1831C4C2×#1457920812yes—
1832C4#1909939812yes—
1833C4#1909940012yes—
1834C2—22no—
1835C2—42no—
1836C2—44no—
1837C2—3161no—
1838C2—3161no—
1839C2—3162no—
1840C2C22×#1457920811yescharacteristic
1841C2C2×#1909939811yescharacteristic
1842C2C2×#1909940011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3511C2
hypercenter#3511D79
hypocenterC79#62838
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3511

Complements

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

NH ≅ G/Ntype
1. #23778051C2semidirect
2. #23778047C2semidirect
3. #23777891C2semidirect
4. #23777876C2semidirect
5. #23777792C2semidirect
6. #23777777C2semidirect
7. #23777687C2semidirect
8. #23777679C2semidirect
9. #23777416C2semidirect
10. #23777414C2semidirect
11. #23777384C2semidirect
12. #23777382C2semidirect
13. #23777379C2semidirect
14. #23777369C2semidirect
15. #23777321C2semidirect
16. #23777307C2semidirect
17. #23777307C2semidirect
18. #23777301C2semidirect
19. #23777287C2semidirect
20. #23777279C2semidirect
21. #23777222C2semidirect
22. #23777219C2semidirect
23. #23777216C2semidirect
24. #23777119C2semidirect
25. #23777113C2semidirect
26. #23776695C2semidirect
27. #23776693C2semidirect
28. C2×#19099118C2semidirect
29. C79×#3511C2semidirect
34. Q8×Dic158C22semidirect
35. #19099293C22semidirect
36. #19099292C22semidirect
37. #19099292C22semidirect
38. #19099292C22semidirect
39. #19099290C22semidirect
40. #19099289C22semidirect
41. #19099288C22semidirect
46. #19099283C22semidirect
47. #19099283C22semidirect
48. #19099282C22semidirect
49. #19099282C22semidirect
52. #19099280C22semidirect
54. #19099278C22semidirect
58. #19099274C22semidirect
60. #19099272C22semidirect
63. #19099270C22semidirect
64. #19099270C22semidirect
65. #19099270C22semidirect
71. #19099265C22semidirect
74. #19099260C22semidirect
79. #19099255C22semidirect
80. #19099255C22semidirect
81. #19099255C22semidirect
83. #19099252C22semidirect
85. #19099250C22semidirect
87. #19099247C22semidirect
89. D4×Dic158C22semidirect
90. #19099228C22semidirect
93. #19099220C22semidirect
96. #19099219C22semidirect
98. #19099217C22semidirect
101. #19099194C22semidirect
103. #19099191C22semidirect
104. #19099191C22semidirect
105. #19099190C22semidirect
107. #19099182C22semidirect
108. #19099182C22semidirect
109. #19099182C22semidirect
110. #19099181C22semidirect
111. #19099180C22semidirect
116. #19099176C22semidirect
117. #19099173C22semidirect
118. #19099173C22semidirect
119. #19099173C22semidirect
121. #19099170C22semidirect
122. #19099166C22semidirect
133. #19099120C22semidirect
144. #19099118C22semidirect
145. #19099118C22semidirect
149. #19099116C22semidirect
152. #19099111C22semidirect
157. C2×#14579161C22semidirect
158. C4⋊Q8×D79C22semidirect
161. #19099099C22semidirect
169. #19099094C22semidirect
178. C2×#14579152C22semidirect
190. #19099046C22semidirect
192. #19099042C22semidirect
193. #19099040C22semidirect
194. #19099039C22semidirect
205. #556×C79C22semidirect
206. #555×C79C22semidirect
207. #554×C79C22semidirect
210. #547×C79C22semidirect
211. #542×C79C22semidirect
213. #533×C79C22semidirect
215. #532×C79C22semidirect
940. #3511D79semidirect
951. C79#62838semidirect
975. #556C2×D79semidirect
981. #555C2×D79semidirect
991. #554C2×D79semidirect
1027. #547C2×D79semidirect
1043. #542C2×D79semidirect
1080. #533C2×D79semidirect
1088. #532C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780512
#237780472
#237778912
#237778762
#237777922
#237777772
#237776872
#237776792
#237774162
#237774142
#237773842
#237773822
#237773792
#237773692
#237773212
#237773072
#237773012
#237772872
#237772792
#237772222
#237772192
#237772162
#237771192
#237771132
#237766952
#237766932
C2×#190991182
C79×#35112
#6283879