Finite Group Databasebeta

← #35197183

Subgroups — #35197183

Order 20224.

7148 conjugacy classes of subgroups.

The subgroup lattice has 1792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777960C214yesmaximal, complemented
2#23777924C214yesmaximal, complemented
3#23777870C214yesmaximal, complemented
4#23777813C212yesmaximal, complemented
5#23777793C212yesmaximal, complemented
6#23777792C212yesmaximal, complemented
7#23777777C212yesmaximal, complemented
8#23777621C214yesmaximal, complemented
9#23777482C214yesmaximal, complemented
10#23777437C214yesmaximal, complemented
11#23777302C214yesmaximal, complemented
12#23777300C212yesmaximal, complemented
13#23777275C212yesmaximal, complemented
14#23777255C212yesmaximal, complemented
15#23777249C211yesmaximal, characteristic, complemented
16#23777213C212yesmaximal, complemented
17#23777203C211yesmaximal, characteristic, complemented
18#23777201C211yesmaximal, characteristic, complemented
19#23777179C212yesmaximal, complemented
20#23777165C212yesmaximal, complemented
21#23777136C212yesmaximal, complemented
22#23777132C212yesmaximal, complemented
23#23777072C214yesmaximal, complemented
24#23776695C211yesmaximal, characteristic, complemented
25#533×D79C211yesmaximal, characteristic, complemented
26C2×#19099110C211yesmaximal, characteristic, complemented
27C79×#3506C211yesmaximal, characteristic, complemented
28C2×#14579208C2214yescomplemented
29C22×#11929624C2212yes—
30#19099315C2218yescomplemented
31#19099310C2218yescomplemented
32#19099308C2218yescomplemented
33#19099307C2218yescomplemented
34#19099295C2214yescomplemented
35#19099295C2214yescomplemented
36#19099295C2214yescomplemented
37Q8×Dic158C2214yescomplemented
38#19099289C2214yescomplemented
39#19099287C2212yescomplemented
40#19099281C2214yescomplemented
41#19099280C2218yescomplemented
42#19099278C2212yescomplemented
43#19099277C2214yescomplemented
44#19099276C2214yescomplemented
45#19099274C2212yescomplemented
46#19099273C2212yescomplemented
47#19099273C2214yescomplemented
48#19099272C2218yes—
49#19099272C2214yescomplemented
50#19099272C2214yescomplemented
51#19099272C2214yescomplemented
52#19099270C2212yescomplemented
53#19099270C2212yescomplemented
54#19099269C2214yescomplemented
55#19099265C2214yescomplemented
56#19099261C2214yescomplemented
57#19099260C2214yescomplemented
58#19099259C2214yescomplemented
59#19099257C2214yescomplemented
60#19099255C2214yescomplemented
61#19099252C2214yescomplemented
62#19099244C2218yes—
63#19099242C2218yes—
64#19099233C2212yescomplemented
65#19099233C2214yescomplemented
66#19099233C2214yescomplemented
67Q8×D316C2212yescomplemented
68D4×Dic158C2218yes—
69D4×Dic158C2212yescomplemented
70D4×Dic158C2212yescomplemented
71D4×Dic158C2214yescomplemented
72#19099228C2212yescomplemented
73#19099226C2214yescomplemented
74#19099222C2218yescomplemented
75#19099221C2218yescomplemented
76#19099220C2214yescomplemented
77#19099219C2214yescomplemented
78#19099219C2218yescomplemented
79#19099218C2218yescomplemented
80#19099217C2212yescomplemented
81#19099214C2214yescomplemented
82#19099213C2214yescomplemented
83#19099213C2214yescomplemented
84#19099212C2214yescomplemented
85#19099211C2218yescomplemented
86#19099211C2218yescomplemented
87#19099211C2218yescomplemented
88#19099209C2218yes—
89#19099200C2218yes—
90#19099200C2218yes—
91#19099200C2218yes—
92#19099194C2212yes—
93#19099194C2214yescomplemented
94#19099191C2212yes—
95#19099191C2214yescomplemented
96#19099189C2214yes—
97#19099188C2214yes—
98#19099185C2214yescomplemented
99#19099182C2218yescomplemented
100#19099182C2214yescomplemented
101#19099181C2218yescomplemented
102#19099181C2218yescomplemented
103#19099179C2218yescomplemented
104#19099177C2218yescomplemented
105#19099167C2214yescomplemented
106#19099166C2214yescomplemented
107#19099166C2214yescomplemented
108#19099164C2214yescomplemented
109#19099156C2218yescomplemented
110#19099155C2218yescomplemented
111#19099154C2218yescomplemented
112#19099150C2214yes—
113#19099142C2214yescomplemented
114#19099142C2214yescomplemented
115#19099142C2218yescomplemented
116#19099141C2214yescomplemented
117#19099140C2218yescomplemented
118#19099139C2214yescomplemented
119#19099136C2214yescomplemented
120#19099136C2214yescomplemented
121#19099135C2218yescomplemented
122#19099127C2212yes—
123#19099120C2211yescharacteristic
124#19099120C2211yescharacteristic
125#19099119C2212yescomplemented
126#19099118C2211yescharacteristic, complemented
127#19099118C2211yescharacteristic, complemented
128#19099118C2211yescharacteristic, complemented
129#19099118C2211yescharacteristic, complemented
130#19099117C2212yescomplemented
131#19099117C2212yescomplemented
132#19099116C2212yes—
133#19099116C2214yescomplemented
134#19099115C2212yes—
135#19099115C2212yes—
136#19099111C2211yescharacteristic, complemented
137#19099111C2214yescomplemented
138#19099111C2211yescharacteristic, complemented
139#19099110C2212yes—
140#19099110C2212yes—
141#19099110C2212yes—
142#19099110C2212yes—
143#19099110C2212yes—
144#19099110C2212yes—
145#19099110C2212yes—
146#19099110C2212yes—
147#19099110C2214yescomplemented
148#19099108C2214yescomplemented
149#19099108C2214yescomplemented
150C2×#14579160C2211yescharacteristic
151C2×#14579160C2214yescomplemented
152C4⋊Q8×D79C2211yescharacteristic, complemented
153C4⋊Q8×D79C2211yescharacteristic, complemented
154C2×#14579157C2211yescharacteristic
155#19099100C2214yescomplemented
156#19099095C2212yescomplemented
157#19099095C2212yescomplemented
158#19099094C2212yes—
159#19099094C2212yes—
160#19099092C2212yescomplemented
161#19099092C2214yescomplemented
162#19099092C2212yescomplemented
163#125×D79C2212yescomplemented
164C2×#14579147C2212yes—
165#19099073C2212yes—
166#19099073C2214yes—
167#19099073C2212yes—
168#19099070C2212yes—
169C2×#14579140C2214yes—
170C22⋊Q8×D79C2212yes—
171C22⋊Q8×D79C2214yes—
172C22⋊Q8×D79C2212yes—
173C2×#14579136C2211yescharacteristic
174C2×#14579134C2212yes—
175C2×#14579132C2211yescharacteristic
176#19099046C2212yes—
177#19099043C2214yescomplemented
178#19099042C2218yescomplemented
179#19099038C2212yes—
180#19099037C2212yes—
181#41×Dic79C2212yes—
182C4×#11929623C2212yescomplemented
183C4×#11929623C2212yescomplemented
184C4×Q8×D79C2212yescomplemented
185C4×Q8×D79C2212yescomplemented
186C2×C4×D316C2211yescharacteristic
187C2×C4×C22⋊D79C2212yes—
188#117×D79C2212yes—
189C2×C42×D79C2211yescharacteristic
190#559×C79C2214yescomplemented
191#556×C79C2212yescomplemented
192#555×C79C2212yescomplemented
193#553×C79C2214yescomplemented
194#550×C79C2212yescomplemented
195#547×C79C2212yescomplemented
196#538×C79C2214yes—
197#535×C79C2212yes—
198#533×C79C2211yescharacteristic
199#532×C79C2211yescharacteristic
200#525×C79C2214yes—
201#520×C79C2212yes—
202C2×C4×D4×C79C2211yescharacteristic
203#14579208—416no—
204C2×#11929624—48no—
205C2×#11929624C2314yes—
206C2×#11929624C2314yes—
207C2×#11929624C2318yes—
208C2×#11929624C2314yes—
209C2×#11929624C2314yes—
210C2×#11929623C2312yes—
211C2×#11929623C2312yes—
212C2×#11929623C2318yes—
213C2×#11929623C2318yes—
214C2×#11929623C2314yes—
215C2×#11929623C2318yes—
216C22×Dic158C2314yes—
217C22×Dic158C2318yes—
218C22×Dic158C2312yes—
219C2×Q8×D79C2312yes—
220C2×Q8×D79C2314yes—
221C2×Q8×D79C2312yes—
222C22×D316C2311yescharacteristic
223C22×D316C2312yes—
224C22×C22⋊D79C2312yes—
225C22×C22⋊D79C2312yes—
226C22×C22⋊D79C2312yes—
227C22×C4×D79C2311yescharacteristic
228C22×C4×D79C2311yescharacteristic
229C22×C4×D79C2311yescharacteristic
230C22×C4×D79C2312yes—
231#14579161C2318yes—
232#14579161C2314yes—
233#14579161C2311yescharacteristic
234#14579161C2311yescharacteristic
235#14579161C2311yescharacteristic
236#14579161C2311yescharacteristic
237#14579160C2318yes—
238#14579160C2318yes—
239#14579160C2318yes—
240#14579160C2314yes—
241#14579160C2314yes—
242#14579160C2312yes—
243#14579160C2314yes—
244#14579160C2312yes—
245#14579160C2312yes—
246#14579160C2312yes—
247#14579160C2312yes—
248#14579160C2312yes—
249#14579160C2312yes—
250#14579160C2312yes—
251#14579159C2312yes—
252#14579159C2312yes—
253#14579157C2314yes—
254#14579157C2312yes—
255#14579157C2312yes—
256#14579157C2312yes—
257#14579157C2312yes—
258#14579156C2318yes—
259#14579156C2318yes—
260#14579155C2318yes—
261#14579154C2314yes—
262#14579154C2318yes—
263#14579154C2314yes—
264#14579154C2318yes—
265#14579153C2318yes—
266#14579153C2314yes—
267#14579153C2312yes—
268#14579153C2312yes—
269#14579152C2318yes—
270#14579152C2314yes—
271#14579152C2312yes—
272#14579152C2312yes—
273#14579152C2314yes—
274#14579152C2314yes—
275#14579152C2312yes—
276#14579152C2312yes—
277#14579151C2314yes—
278#14579151C2314yes—
279#14579150C2314yes—
280#14579149C2318yes—
281#14579148C2318yes—
282#14579148C2312yes—
283#14579148C2312yes—
284#14579147C2318yes—
285#14579147C2318yes—
286#14579147C2318yes—
287#14579147C2314yes—
288#14579147C2318yes—
289#14579147C2314yes—
290#14579147C2318yes—
291#14579147C2314yes—
292#14579147C2314yes—
293#14579146C2318yes—
294#14579146C2318yes—
295#14579145C2318yes—
296#14579145C2318yes—
297#14579145C2318yes—
298#14579145C2318yes—
299#14579144C2318yes—
300#14579143C2318yes—
301#14579143C2318yes—
302#14579143C2318yes—
303#14579143C2318yes—
304#14579143C2318yes—
305#14579143C2314yes—
306#14579143C2314yes—
307#14579142C2318yes—
308#14579142C2318yes—
309#14579142C2314yes—
310#14579141C2312yes—
311#14579141C2314yes—
312#14579141C2312yes—
313#14579141C2314yes—
314#14579141C2318yes—
315#14579141C2312yes—
316#14579141C2312yes—
317#14579140C2314yes—
318#14579140C2314yes—
319#14579140C2318yes—
320#14579140C2318yes—
321#14579140C2312yes—
322#14579140C2318yes—
323#14579140C2312yes—
324#14579140C2318yes—
325#14579140C2312yes—
326#14579140C2312yes—
327#14579139C2314yes—
328#14579139C2318yes—
329#14579139C2318yes—
330#14579139C2318yes—
331#14579139C2318yes—
332#14579139C2314yes—
333#14579138C2318yes—
334#14579138C2318yes—
335#14579138C2318yes—
336#14579138C2318yes—
337#14579138C2318yes—
338#14579138C2318yes—
339#14579138C2318yes—
340#14579138C2318yes—
341#14579138C2318yes—
342#14579138C2318yes—
343#14579138C2314yes—
344#14579138C2314yes—
345#14579137C2312yes—
346#14579137C2314yes—
347#14579137C2318yes—
348#14579137C2312yes—
349#14579137C2312yes—
350#14579137C2312yes—
351#14579136C2312yes—
352#14579136C2312yes—
353#14579136C2312yes—
354#14579136C2312yes—
355#14579135C2318yes—
356#14579135C2314yes—
357#14579135C2314yes—
358#14579134C2314yes—
359#14579134C2318yes—
360#14579134C2314yes—
361#14579134C2318yes—
362#14579134C2314yes—
363#14579134C2314yes—
364#14579133C2318yes—
365#14579133C2318yes—
366#14579133C2318yes—
367#14579133C2318yes—
368#14579133C2318yes—
369#14579133C2318yes—
370#14579133C2318yes—
371#14579132C2312yes—
372#14579132C2314yes—
373#14579132C2312yes—
374#14579132C2318yes—
375#14579132C2318yes—
376#14579132C2318yes—
377#14579132C2312yes—
378#14579132C2312yes—
379#14579132C2312yes—
380#14579132C2312yes—
381#14579132C2312yes—
382#14579132C2312yes—
383#14579129C2318yes—
384#14579129C2314yes—
385Q8×Dic79C2312yes—
386Q8×Dic79C2314yes—
387Q8×Dic79C2312yes—
388Q8×Dic79C2312yes—
389Q8×Dic79C2312yes—
390C4×Dic158C2318yes—
391C4×Dic158C2318yes—
392C4×Dic158C2312yes—
393C4×Dic158C2312yes—
394C4×Dic158C2314yes—
395C4×Dic158C2314yes—
396C4×Dic158C2312yes—
397C4×Dic158C2312yes—
398#14579126C2312yes—
399#14579126C2314yes—
400#14579126C2312yes—
401#14579126C2314yes—
402#14579126C2312yes—
403#14579126C2312yes—
404C4×D316C2318yes—
405C4×D316C2314yes—
406C4×D316C2314yes—
407C4×D316C2312yes—
408C4×D316C2312yes—
409C4×D316C2312yes—
410C4×D316C2312yes—
411D4×Dic79C2318yes—
412D4×Dic79C2314yes—
413D4×Dic79C2314yes—
414D4×Dic79C2314yes—
415D4×Dic79C2314yes—
416D4×Dic79C2318yes—
417D4×Dic79C2314yes—
418D4×Dic79C2314yes—
419D4×Dic79C2314yes—
420D4×Dic79C2312yes—
421D4×Dic79C2312yes—
422D4×Dic79C2312yes—
423D4×Dic79C2312yes—
424#14579123C2314yes—
425#14579123C2314yes—
426C4×C22⋊D79C2314yes—
427C4×C22⋊D79C2314yes—
428C4×C22⋊D79C2318yes—
429C4×C22⋊D79C2314yes—
430C4×C22⋊D79C2314yes—
431C4×C22⋊D79C2314yes—
432C4×C22⋊D79C2314yes—
433(C22⋊D79)⋊C4C2318yes—
434(C22⋊D79)⋊C4C2318yes—
435(C22⋊D79)⋊C4C2318yes—
436(C22⋊D79)⋊C4C2318yes—
437(C22⋊D79)⋊C4C2314yes—
438(C22⋊D79)⋊C4C2314yes—
439#14579120C2314yes—
440#14579120C2312yes—
441#14579120C2312yes—
442#14579120C2314yes—
443#14579119C2312yes—
444#14579119C2314yes—
445#14579119C2312yes—
446#14579119C2312yes—
447#14579119C2312yes—
448#14579118C2314yes—
449#14579118C2318yes—
450#14579117C2314yes—
451#14579117C2314yes—
452#14579117C2318yes—
453#14579117C2314yes—
454C2×C4⋊Dic79C2314yes—
455C2×C4⋊Dic79C2311yescharacteristic
456C2×C4⋊Dic79C2314yes—
457C2×Dic79⋊C4C2318yes—
458C2×Dic79⋊C4C2318yes—
459C2×Dic79⋊C4C2312yes—
460C4⋊C4×D79C2314yes—
461C4⋊C4×D79C2312yes—
462C4⋊C4×D79C2314yes—
463C4⋊C4×D79C2318yes—
464C4⋊C4×D79C2312yes—
465C4⋊C4×D79C2314yes—
466C4⋊C4×D79C2312yes—
467C4⋊C4×D79C2312yes—
468C2×C22⋊Dic79C2318yes—
469C2×C22⋊Dic79C2312yes—
470C2×(C2×D79)⋊C4C2312yes—
471C2×(C2×D79)⋊C4C2312yes—
472C22⋊C4×D79C2318yes—
473C22⋊C4×D79C2314yes—
474C2×C4×Dic79C2311yescharacteristic
475C2×C4×Dic79C2311yescharacteristic
476C2×C4×Dic79C2311yescharacteristic
477C2×C4×Dic79C2314yes—
478C42×D79C2311yescharacteristic
479C42×D79C2311yescharacteristic
480C42×D79C2311yescharacteristic
481C42×D79C2311yescharacteristic
482C42×D79C2311yescharacteristic
483C42×D79C2311yescharacteristic
484C42×D79C2311yescharacteristic
485C42×D79C2311yescharacteristic
486C42×D79C2314yes—
487C2×#41×C79C2312yes—
488C2×#41×C79C2314yes—
489C22×D4×C79C2311yescharacteristic
490C23×C4×C79C2312yes—
491C4⋊Q8×C79C2311yescharacteristic
492C4⋊Q8×C79C2311yescharacteristic
493C4⋊Q8×C79C2311yescharacteristic
494#127×C79C2314yes—
495#127×C79C2311yescharacteristic
496#126×C79C2318yes—
497#125×C79C2312yes—
498#124×C79C2318yes—
499#124×C79C2314yes—
500#124×C79C2312yes—
501#123×C79C2318yes—
502#123×C79C2318yes—
503C22⋊Q8×C79C2314yes—
504C22⋊Q8×C79C2312yes—
505C22⋊Q8×C79C2312yes—
506#121×C79C2318yes—
507#121×C79C2314yes—
508#121×C79C2312yes—
509#121×C79C2314yes—
510#121×C79C2314yes—
511#121×C79C2312yes—
512#120×C79C2318yes—
513C4×Q8×C79C2314yes—
514C4×Q8×C79C2312yes—
515C4×Q8×C79C2312yes—
516C4×D4×C79C2318yes—
517C4×D4×C79C2314yes—
518C4×D4×C79C2318yes—
519C4×D4×C79C2312yes—
520C4×D4×C79C2312yes—
521C4×D4×C79C2312yes—
522C4×D4×C79C2312yes—
523C4×D4×C79C2312yes—
524C4×D4×C79C2312yes—
525#117×C79C2314yes—
526#117×C79C2312yes—
527#117×C79C2314yes—
528C2×C4⋊C4×C79C2311yescharacteristic
529C2×C4⋊C4×C79C2314yes—
530C2×C22⋊C4×C79C2312yes—
531C2×C42×C79C2311yescharacteristic
532C23×D79C2411yescharacteristic
533C23×D79C2412yes—
534#11929624—216no—
535#11929624—48no—
536#11929624—48no—
537#11929624—416no—
538#11929624—48no—
539#11929623—28no—
540#11929623—416no—
541#11929623—416no—
542#11929623—416no—
543#11929623—48no—
544#11929623—44no—
545C2×Dic158—48no—
546C2×Dic158—44no—
547C2×Dic158—416no—
548C2×Dic158C2412yes—
549C2×Dic158C2414yes—
550C2×Dic158C2412yes—
551C2×Dic158C2414yes—
552C2×Dic158C2414yes—
553C2×Dic158C2418yes—
554C2×Dic158C2412yes—
555C2×Dic158C2418yes—
556C2×Dic158C2414yes—
557C2×Dic158C2412yes—
558Q8×D79—28no—
559Q8×D79—48no—
560Q8×D79—44no—
561C2×D316—24no—
562C2×D316—44no—
563C2×D316C2414yes—
564C2×D316C2412yes—
565C2×D316C2412yes—
566C2×D316C2414yes—
567C2×C22⋊D79—44no—
568C2×C22⋊D79—44no—
569C2×C22⋊D79—44no—
570C2×C22⋊D79C2414yes—
571C2×C22⋊D79C2414yes—
572C2×C22⋊D79C2414yes—
573C2×C22⋊D79C2414yes—
574C2×C22⋊D79C2418yes—
575C2×C22⋊D79C2414yes—
576C2×C22⋊D79C2418yes—
577C2×C22⋊D79C2414yes—
578C2×C22⋊D79C2414yes—
579C2×C22⋊D79C2414yes—
580C22×Dic79C2414yes—
581C22×Dic79C2411yescharacteristic
582C22×Dic79C2414yes—
583C22×Dic79C2411yescharacteristic
584C22×Dic79C2411yescharacteristic
585C22×Dic79C2418yes—
586C22×Dic79C2418yes—
587C22×Dic79C2412yes—
588C22×Dic79C2418yes—
589C2×C4×D79—24no—
590C2×C4×D79—24no—
591C2×C4×D79—44no—
592C2×C4×D79—42no—
593C2×C4×D79C2411yescharacteristic
594C2×C4×D79C2414yes—
595C2×C4×D79C2414yes—
596C2×C4×D79C2411yescharacteristic
597C2×C4×D79C2411yescharacteristic
598C2×C4×D79C2411yescharacteristic
599C2×C4×D79C2411yescharacteristic
600C2×C4×D79C2411yescharacteristic
601C2×C4×D79C2411yescharacteristic
602C2×C4×D79C2411yescharacteristic
603C2×C4×D79C2411yescharacteristic
604C2×C4×D79C2418yes—
605C2×C4×D79C2414yes—
606C2×C4×D79C2418yes—
607C2×C4×D79C2414yes—
608C2×C4×D79C2411yescharacteristic
609C2×C4×D79C2411yescharacteristic
610C2×C4×D79C2411yescharacteristic
611C4⋊Dic79C2412yes—
612C4⋊Dic79C2412yes—
613C4⋊Dic79C2412yes—
614C4⋊Dic79C2412yes—
615C4⋊Dic79C2418yes—
616C4⋊Dic79C2414yes—
617C4⋊Dic79C2414yes—
618C4⋊Dic79C2412yes—
619C4⋊Dic79C2412yes—
620C4⋊Dic79C2412yes—
621C4⋊Dic79C2418yes—
622C4⋊Dic79C2418yes—
623C4⋊Dic79C2412yes—
624C4⋊Dic79C2412yes—
625C4⋊Dic79C2412yes—
626C4⋊Dic79C2414yes—
627C4⋊Dic79C2414yes—
628Dic79⋊C4C2414yes—
629Dic79⋊C4C2414yes—
630Dic79⋊C4C2414yes—
631Dic79⋊C4C2418yes—
632Dic79⋊C4C2414yes—
633Dic79⋊C4C2414yes—
634Dic79⋊C4C2414yes—
635Dic79⋊C4C2418yes—
636Dic79⋊C4C2414yes—
637Dic79⋊C4C2414yes—
638Dic79⋊C4C2414yes—
639Dic79⋊C4C2414yes—
640Dic79⋊C4C2418yes—
641Dic79⋊C4C2414yes—
642Dic79⋊C4C2418yes—
643Dic79⋊C4C2414yes—
644Dic79⋊C4C2414yes—
645Dic79⋊C4C2414yes—
646C22⋊Dic79C2414yes—
647C22⋊Dic79C2414yes—
648C22⋊Dic79C2414yes—
649C22⋊Dic79C2414yes—
650C22⋊Dic79C2418yes—
651C22⋊Dic79C2418yes—
652C22⋊Dic79C2414yes—
653C22⋊Dic79C2414yes—
654C22⋊Dic79C2414yes—
655C22⋊Dic79C2414yes—
656C22⋊Dic79C2418yes—
657(C2×D79)⋊C4C2414yes—
658(C2×D79)⋊C4C2414yes—
659(C2×D79)⋊C4C2418yes—
660(C2×D79)⋊C4C2418yes—
661(C2×D79)⋊C4C2414yes—
662(C2×D79)⋊C4C2414yes—
663(C2×D79)⋊C4C2414yes—
664(C2×D79)⋊C4C2414yes—
665(C2×D79)⋊C4C2418yes—
666(C2×D79)⋊C4C2414yes—
667(C2×D79)⋊C4C2414yes—
668(C2×D79)⋊C4C2418yes—
669C4×Dic79C2411yescharacteristic
670C4×Dic79C2411yescharacteristic
671C4×Dic79C2411yescharacteristic
672C4×Dic79C2411yescharacteristic
673C4×Dic79C2411yescharacteristic
674C4×Dic79C2411yescharacteristic
675C4×Dic79C2411yescharacteristic
676C4×Dic79C2411yescharacteristic
677C4×Dic79C2411yescharacteristic
678C4×Dic79C2411yescharacteristic
679C4×Dic79C2411yescharacteristic
680C4×Dic79C2411yescharacteristic
681C4×Dic79C2414yes—
682C4×Dic79C2414yes—
683C4×Dic79C2414yes—
684C4×Dic79C2414yes—
685C4×Dic79C2414yes—
686C4×Dic79C2414yes—
687C4×Dic79C2418yes—
688C24×C79C2412yes—
689#41×C79—28no—
690#41×C79—48no—
691C2×Q8×C79C2412yes—
692C2×Q8×C79C2412yes—
693C2×Q8×C79C2412yes—
694C2×D4×C79—24no—
695C2×D4×C79C2412yes—
696C2×D4×C79C2414yes—
697C2×D4×C79C2412yes—
698C2×D4×C79C2412yes—
699C2×D4×C79C2412yes—
700C2×D4×C79C2418yes—
701C2×D4×C79C2418yes—
702C2×D4×C79C2412yes—
703C22×C4×C79—44no—
704C22×C4×C79C2414yes—
705C22×C4×C79C2411yescharacteristic
706C22×C4×C79C2414yes—
707C22×C4×C79C2418yes—
708C22×C4×C79C2412yes—
709C22×C4×C79C2414yes—
710C22×C4×C79C2411yescharacteristic
711C22×C4×C79C2411yescharacteristic
712C4⋊C4×C79C2412yes—
713C4⋊C4×C79C2412yes—
714C4⋊C4×C79C2412yes—
715C4⋊C4×C79C2418yes—
716C4⋊C4×C79C2412yes—
717C4⋊C4×C79C2412yes—
718C4⋊C4×C79C2412yes—
719C4⋊C4×C79C2414yes—
720C4⋊C4×C79C2412yes—
721C4⋊C4×C79C2414yes—
722C4⋊C4×C79C2412yes—
723C22⋊C4×C79C2414yes—
724C22⋊C4×C79C2414yes—
725C22⋊C4×C79C2414yes—
726C22⋊C4×C79C2418yes—
727C22⋊C4×C79C2418yes—
728C22⋊C4×C79C2414yes—
729C22⋊C4×C79C2418yes—
730C22⋊C4×C79C2414yes—
731C42×C79C2411yescharacteristic
732C42×C79C2411yescharacteristic
733C42×C79C2411yescharacteristic
734C42×C79C2411yescharacteristic
735C42×C79C2418yes—
736C42×C79C2414yes—
737C23×C79—24no—
738C23×C79—42no—
739C23×C79—42no—
740C23×C79C2514yes—
741C23×C79C2514yes—
742C23×C79C2511yescharacteristic
743C22×D79—22no—
744C22×D79—24no—
745C22×D79—22no—
746C22×D79—41no—
747C22×D79—42no—
748C22×D79—42no—
749C22×D79C2514yes—
750C22×D79C2511yescharacteristic
751C22×D79C2511yescharacteristic
752Q8×C79—24no—
753Q8×C79—24no—
754Q8×C79—42no—
755D4×C79—28no—
756D4×C79—24no—
757D4×C79—24no—
758D4×C79—24no—
759D4×C79—24no—
760D4×C79—48no—
761D4×C79—42no—
762D4×C79—48no—
763C2×C4×C79—22no—
764C2×C4×C79—28no—
765C2×C4×C79—28no—
766C2×C4×C79—41no—
767C2×C4×C79—42no—
768C2×C4×C79—48no—
769C2×C4×C79—44no—
770C2×C4×C792−1+414yescomplemented
771C2×C4×C79C2514yes—
772C2×C4×C79C2511yescharacteristic
773C2×C4×C79C2511yescharacteristic
774C2×C4×C79C2511yescharacteristic
775C2×C4×C79C2514yes—
776C2×C4×C79C2514yes—
777C2×C4×C79C2514yes—
778C2×C4×C79C2511yescharacteristic
779C2×C4×C79C2511yescharacteristic
780C2×C4×C79C2511yescharacteristic
781C22⋊D79—28no—
782C22⋊D79—28no—
783C22⋊D79—28no—
784C22⋊D79—28no—
785C22⋊D79—44no—
786C22⋊D79—44no—
787C22⋊D79—44no—
788C22⋊D79—48no—
789C22⋊D79—44no—
790C22⋊D79—48no—
791C2×Dic79—22no—
792C2×Dic79—22no—
793C2×Dic79—28no—
794C2×Dic79—22no—
795C2×Dic79—28no—
796C2×Dic79—42no—
797C2×Dic79—48no—
798C2×Dic79—48no—
799C2×Dic79—48no—
800C2×Dic79C2511yescharacteristic
801C2×Dic79C2511yescharacteristic
802C2×Dic79C2514yes—
803C2×Dic79C2511yescharacteristic
804C2×Dic79C2511yescharacteristic
805C2×Dic79C2514yes—
806C2×Dic79C2514yes—
807C2×Dic79C2514yes—
808C2×Dic79C2514yes—
809C2×Dic79C2511yescharacteristic
810C2×Dic79C2511yescharacteristic
811D316—28no—
812D316—24no—
813D316—24no—
814D316—44no—
815C4×D79—22no—
816C4×D79—28no—
817C4×D79—22no—
818C4×D79—28no—
819C4×D79—22no—
820C4×D79—22no—
821C4×D79—22no—
822C4×D79—22no—
823C4×D79—22no—
824C4×D79—22no—
825C4×D79—22no—
826C4×D79—41no—
827C4×D79—41no—
828C4×D79—44no—
829C4×D79—44no—
830C4×D79—48no—
831C4×D79—48no—
832C4×D79H(5,𝔽2)14yes—
833Dic158—24no—
834Dic158—24no—
835Dic158—28no—
836Dic158—28no—
837Dic158—28no—
838Dic158—48no—
839Dic158—42no—
840Dic158—48no—
841Dic158—44no—
842Dic158—42no—
843C22×C79—21no—
844C22×C79—21no—
845C22×C79—24no—
846C22×C79—24no—
847C22×C79—24no—
848C22×C79—24no—
849C22×C79—24no—
850C22×C79—24no—
851C22×C79—84no—
852C22×C79C2×2−1+412yes—
853C22×C79C2611yescharacteristic
854C2×D79—21no—
855C2×D79—21no—
856C2×D79—24no—
857C2×D79—21no—
858C2×D79—21no—
859C2×D79—24no—
860C2×D79—24no—
861C2×D79—21no—
862C2×D79—44no—
863C2×D79—84no—
864C2×D79C2×H(5,𝔽2)12yes—
865C4×C79—24no—
866C4×C79—21no—
867C4×C79—24no—
868C4×C79—24no—
869C4×C79—21no—
870C4×C79—21no—
871C4×C79—24no—
872C4×C79C2×H(5,𝔽2)12yes—
873C4×C79C2×2−1+412yes—
874C4×C79C2×2−1+412yes—
875Dic79—24no—
876Dic79—24no—
877Dic79—21no—
878Dic79—24no—
879Dic79—21no—
880Dic79—21no—
881Dic79—21no—
882Dic79—24no—
883Dic79—24no—
884Dic79C2×H(5,𝔽2)12yes—
885Dic79#58512yes—
886#62835—791nomaximal, Sylow
887C2×C79—22no—
888C2×C79—44no—
889C2×C79—44no—
890C2×C79C22×H(5,𝔽2)11yescharacteristic
891C2×C79C22×2−1+411yescharacteristic
892C2×C79C2×#58511yescharacteristic
893D79—22no—
894D79—41no—
895D79—44no—
896#3561—794no—
897#3559—794no—
898#3554—794no—
899#3550—792no—
900#3548—792no—
901#3547—792no—
902#3547—792no—
903#3536—794no—
904#3522—794no—
905#3520—794no—
906#3511—792no—
907#3511—794no—
908#3508—792no—
909#3507—792no—
910#3506—791no—
911#3506D7911yescharacteristic, complemented
912#3503—792no—
913#3501—791no—
914#3501—791no—
915#3499—792no—
916#3497—792no—
917#3494—792no—
918#3494—792no—
919#3489—794no—
920#3444—791no—
921C2×#533—791no—
922C2×#532—791no—
923C79#6283511yescharacteristic, complemented, Sylow
924C2×2−1+4—794no—
925C22×#41—792no—
926#563—798no—
927#562—798no—
928#562—798no—
929#562—798no—
930#559—794no—
931#559—794no—
932#559—794no—
933#559C2×D7914yescomplemented
934Q82—794no—
935#557—794no—
936#556—792no—
937#556—798no—
938#556—794no—
939#556C2×D7912yescomplemented
940#555—794no—
941#555—792no—
942#555—794no—
943#555C2×D7912yescomplemented
944#554—792no—
945#554—794no—
946#554—792no—
947#554—794no—
948#554—792no—
949#554—792no—
950#554—798no—
951#554—794no—
952#554—794no—
953#554—794no—
954#553—794no—
955#553—794no—
956#553—794no—
957#553—794no—
958#553—794no—
959#553C2×D7914yescomplemented
960#552—794no—
961#552—794no—
962#551—798no—
963#551—798no—
964#550—792no—
965#550—794no—
966#550—794no—
967#550C2×D7912yescomplemented
968D4×Q8—792no—
969D4×Q8—794no—
970D4×Q8—792no—
971D4×Q8—798no—
972D4×Q8—792no—
973D4×Q8—794no—
974D4×Q8—792no—
975#548—794no—
976#548—798no—
977#548—798no—
978#548—794no—
979#548—798no—
980#547—794no—
981#547—798no—
982#547—798no—
983#547—798no—
984#547—794no—
985#547—794no—
986#547—792no—
987#547—798no—
988#547—794no—
989#547C2×D7912yescomplemented
990#546—798no—
991#546—798no—
992#546—798no—
993#546—798no—
994#544—792no—
995#544—794no—
996#544—792no—
997#544—794no—
998#543—794no—
999#543—794no—
1000#542—798no—
1001#542—798no—
1002#542—794no—
1003#542—798no—
1004#542—798no—
1005#542—798no—
1006#542—794no—
1007#540—794no—
1008#540—794no—
1009#540—794no—
1010#540—794no—
1011#539—798no—
1012#539—798no—
1013#539—798no—
1014#538—794no—
1015#538C2×D7914yes—
1016#537—794no—
1017#537—798no—
1018#537—794no—
1019#537—794no—
1020#537—798no—
1021#536—798no—
1022#536—794no—
1023#536—794no—
1024#536—794no—
1025#535—792no—
1026#535C2×D7912yes—
1027#533—791no—
1028#533—791no—
1029#533—791no—
1030#533—791no—
1031#533—792no—
1032#533—792no—
1033#533—792no—
1034#533—792no—
1035#533—792no—
1036#533—792no—
1037#533—794no—
1038#533—791no—
1039#533—791no—
1040#533C2×D7911yescharacteristic
1041#532—791no—
1042#532—791no—
1043#532—794no—
1044#532—794no—
1045#532—794no—
1046#532—792no—
1047#532—792no—
1048#532—792no—
1049#532—792no—
1050#532—792no—
1051#532—792no—
1052#532—792no—
1053#532—792no—
1054#532—794no—
1055#532C2×D7911yescharacteristic
1056C2×C4⋊Q8—791no—
1057C2×C4⋊Q8—791no—
1058C2×C4⋊Q8—791no—
1059C2×C4⋊Q8—794no—
1060C2×#127—791no—
1061#529—792no—
1062#529—792no—
1063#529—794no—
1064#529—792no—
1065#529—792no—
1066#529—794no—
1067#529—792no—
1068#529—792no—
1069C2×#125—792no—
1070C2×#124—792no—
1071#525—792no—
1072#525—792no—
1073#525—792no—
1074#525—794no—
1075#525C2×D7914yes—
1076C2×C22⋊Q8—794no—
1077C2×C22⋊Q8—792no—
1078C2×C22⋊Q8—792no—
1079C2×C22⋊Q8—794no—
1080C2×#121—791no—
1081C2×#121—791no—
1082C2×#121—792no—
1083#520—792no—
1084#520—798no—
1085#520—794no—
1086#520C2×D7912yes—
1087#518—792no—
1088#518—792no—
1089C4×#41—792no—
1090C4×#41—792no—
1091C4×#41—792no—
1092C2×C4×Q8—792no—
1093C2×C4×Q8—792no—
1094C2×C4×D4—792no—
1095C2×C4×D4—791no—
1096C2×C4×D4C2×D7911yescharacteristic
1097C2×#117—792no—
1098C22×C42—791no—
10992−1+4—31616no—
1100C2×#41—3168no—
1101C2×#41—792no—
1102C2×#41—798no—
1103C2×#41—794no—
1104C2×#41—798no—
1105C2×#41—798no—
1106C2×#41—792no—
1107C2×#41—794no—
1108C2×#41—794no—
1109C2×#41—794no—
1110C2×#41—798no—
1111C2×#41—794no—
1112C2×#41C22×D7912yes—
1113C2×#41C22×D7914yes—
1114C22×Q8—792no—
1115C22×Q8—794no—
1116C22×Q8—792no—
1117C22×Q8—794no—
1118C22×Q8—792no—
1119C22×Q8—798no—
1120C22×D4—792no—
1121C22×D4—792no—
1122C22×D4—792no—
1123C22×D4—792no—
1124C22×D4—791no—
1125C22×D4C22×D7911yescharacteristic
1126C23×C4—792no—
1127C23×C4—791no—
1128C23×C4—791no—
1129C23×C4—791no—
1130C23×C4C22×D7912yes—
1131C4⋊Q8—792no—
1132C4⋊Q8—792no—
1133C4⋊Q8—792no—
1134C4⋊Q8—792no—
1135C4⋊Q8—792no—
1136C4⋊Q8—792no—
1137C4⋊Q8—792no—
1138C4⋊Q8—792no—
1139C4⋊Q8—792no—
1140C4⋊Q8—792no—
1141C4⋊Q8—798no—
1142C4⋊Q8—798no—
1143C4⋊Q8—794no—
1144C4⋊Q8—794no—
1145C4⋊Q8—794no—
1146C4⋊Q8—798no—
1147C4⋊Q8—791no—
1148C4⋊Q8—791no—
1149C4⋊Q8—791no—
1150C4⋊Q8—791no—
1151C4⋊Q8—794no—
1152C4⋊Q8—798no—
1153C4⋊Q8C22×D7911yescharacteristic
1154C4⋊Q8C22×D7911yescharacteristic
1155C4⋊Q8C22×D7911yescharacteristic
1156#127—792no—
1157#127—792no—
1158#127—792no—
1159#127—792no—
1160#127—794no—
1161#127C22×D7911yescharacteristic
1162#127C22×D7914yes—
1163#126—798no—
1164#126—798no—
1165#126—794no—
1166#126—794no—
1167#126—798no—
1168#126—798no—
1169#126—798no—
1170#126C22×D7918yes—
1171#125—794no—
1172#125—792no—
1173#125—792no—
1174#125—794no—
1175#125—792no—
1176#125—792no—
1177#125—794no—
1178#125—794no—
1179#125—794no—
1180#125—798no—
1181#125—792no—
1182#125—792no—
1183#125—794no—
1184#125—798no—
1185#125C22×D7912yes—
1186#124—794no—
1187#124—792no—
1188#124—792no—
1189#124—798no—
1190#124—794no—
1191#124—794no—
1192#124—794no—
1193#124—794no—
1194#124—798no—
1195#124—798no—
1196#124—798no—
1197#124—798no—
1198#124—798no—
1199#124—798no—
1200#124C22×D7912yes—
1201#124C22×D7914yes—
1202#124C22×D7918yes—
1203#123—794no—
1204#123—798no—
1205#123—798no—
1206#123—798no—
1207#123—798no—
1208#123—798no—
1209#123—794no—
1210#123—794no—
1211#123—798no—
1212#123—798no—
1213#123—798no—
1214#123—798no—
1215#123—798no—
1216#123—798no—
1217#123—798no—
1218#123—798no—
1219#123—798no—
1220#123C22×D7918yes—
1221#123C22×D7918yes—
1222C22⋊Q8—792no—
1223C22⋊Q8—792no—
1224C22⋊Q8—794no—
1225C22⋊Q8—792no—
1226C22⋊Q8—792no—
1227C22⋊Q8—798no—
1228C22⋊Q8—792no—
1229C22⋊Q8—792no—
1230C22⋊Q8—792no—
1231C22⋊Q8—794no—
1232C22⋊Q8—794no—
1233C22⋊Q8—798no—
1234C22⋊Q8—798no—
1235C22⋊Q8—792no—
1236C22⋊Q8—798no—
1237C22⋊Q8—798no—
1238C22⋊Q8—792no—
1239C22⋊Q8—794no—
1240C22⋊Q8—794no—
1241C22⋊Q8—792no—
1242C22⋊Q8—794no—
1243C22⋊Q8—798no—
1244C22⋊Q8—792no—
1245C22⋊Q8—792no—
1246C22⋊Q8—794no—
1247C22⋊Q8—798no—
1248C22⋊Q8—798no—
1249C22⋊Q8—798no—
1250C22⋊Q8—798no—
1251C22⋊Q8—794no—
1252C22⋊Q8—794no—
1253C22⋊Q8—798no—
1254C22⋊Q8—798no—
1255C22⋊Q8—798no—
1256C22⋊Q8—798no—
1257C22⋊Q8—798no—
1258C22⋊Q8—798no—
1259C22⋊Q8—798no—
1260C22⋊Q8—798no—
1261C22⋊Q8—798no—
1262C22⋊Q8—798no—
1263C22⋊Q8C22×D7912yes—
1264C22⋊Q8C22×D7912yes—
1265C22⋊Q8C22×D7914yes—
1266#121—792no—
1267#121—792no—
1268#121—792no—
1269#121—792no—
1270#121—792no—
1271#121—792no—
1272#121—792no—
1273#121—792no—
1274#121—794no—
1275#121—798no—
1276#121—798no—
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—798no—
1288#121—792no—
1289#121—792no—
1290#121—792no—
1291#121—792no—
1292#121—794no—
1293#121—794no—
1294#121—794no—
1295#121—794no—
1296#121—798no—
1297#121—798no—
1298#121C22×D7912yes—
1299#121C22×D7912yes—
1300#121C22×D7914yes—
1301#121C22×D7914yes—
1302#121C22×D7914yes—
1303#121C22×D7918yes—
1304#120—794no—
1305#120—798no—
1306#120C22×D7918yes—
1307C4×Q8—792no—
1308C4×Q8—792no—
1309C4×Q8—792no—
1310C4×Q8—792no—
1311C4×Q8—794no—
1312C4×Q8—794no—
1313C4×Q8—792no—
1314C4×Q8—792no—
1315C4×Q8—794no—
1316C4×Q8—792no—
1317C4×Q8—792no—
1318C4×Q8—792no—
1319C4×Q8—794no—
1320C4×Q8—794no—
1321C4×Q8—792no—
1322C4×Q8—792no—
1323C4×Q8—792no—
1324C4×Q8—798no—
1325C4×Q8—798no—
1326C4×Q8C22×D7912yes—
1327C4×Q8C22×D7912yes—
1328C4×Q8C22×D7914yes—
1329C4×D4—794no—
1330C4×D4—794no—
1331C4×D4—792no—
1332C4×D4—792no—
1333C4×D4—792no—
1334C4×D4—792no—
1335C4×D4—794no—
1336C4×D4—794no—
1337C4×D4—794no—
1338C4×D4—794no—
1339C4×D4—798no—
1340C4×D4—794no—
1341C4×D4—798no—
1342C4×D4—794no—
1343C4×D4—794no—
1344C4×D4—794no—
1345C4×D4—794no—
1346C4×D4—794no—
1347C4×D4—794no—
1348C4×D4—798no—
1349C4×D4—794no—
1350C4×D4—794no—
1351C4×D4—794no—
1352C4×D4—794no—
1353C4×D4—798no—
1354C4×D4—798no—
1355C4×D4—798no—
1356C4×D4—798no—
1357C4×D4—792no—
1358C4×D4—792no—
1359C4×D4—792no—
1360C4×D4—792no—
1361C4×D4—794no—
1362C4×D4—794no—
1363C4×D4—798no—
1364C4×D4C22×D7912yes—
1365C4×D4C22×D7912yes—
1366C4×D4C22×D7912yes—
1367C4×D4C22×D7912yes—
1368C4×D4C22×D7912yes—
1369C4×D4C22×D7912yes—
1370C4×D4C22×D7918yes—
1371C4×D4C22×D7918yes—
1372C4×D4C22×D7914yes—
1373#117—792no—
1374#117—792no—
1375#117—794no—
1376#117—794no—
1377#117—792no—
1378#117—792no—
1379#117—792no—
1380#117—792no—
1381#117—794no—
1382#117—794no—
1383#117—794no—
1384#117—794no—
1385#117—798no—
1386#117—794no—
1387#117—798no—
1388#117C22×D7912yes—
1389#117C22×D7914yes—
1390#117C22×D7914yes—
1391C2×C4⋊C4—791no—
1392C2×C4⋊C4—792no—
1393C2×C4⋊C4—794no—
1394C2×C4⋊C4—798no—
1395C2×C4⋊C4—798no—
1396C2×C4⋊C4—794no—
1397C2×C4⋊C4—792no—
1398C2×C4⋊C4—792no—
1399C2×C4⋊C4—792no—
1400C2×C4⋊C4—794no—
1401C2×C4⋊C4—794no—
1402C2×C4⋊C4—792no—
1403C2×C4⋊C4—794no—
1404C2×C4⋊C4—798no—
1405C2×C4⋊C4C22×D7911yescharacteristic
1406C2×C4⋊C4C22×D7914yes—
1407C2×C22⋊C4—792no—
1408C2×C22⋊C4—798no—
1409C2×C22⋊C4—792no—
1410C2×C22⋊C4—792no—
1411C2×C22⋊C4—794no—
1412C2×C22⋊C4—798no—
1413C2×C22⋊C4C22×D7912yes—
1414C2×C42—791no—
1415C2×C42—794no—
1416C2×C42—791no—
1417C2×C42—791no—
1418C2×C42—794no—
1419C2×C42—791no—
1420C2×C42—791no—
1421C2×C42—791no—
1422C2×C42—791no—
1423C2×C42—791no—
1424C2×C42—791no—
1425C2×C42—791no—
1426C2×C42—791no—
1427C2×C42C22×D7911yescharacteristic
1428C24—792no—
1429C24—791no—
1430C24C23×D7912yes—
1431#41—28no—
1432#41—48no—
1433#41—3168no—
1434#41—3168no—
1435#41—3168no—
1436#41—31616no—
1437#41—3168no—
1438#41—31616no—
1439#41—31616no—
1440#41—31616no—
1441#41—3164no—
1442#41—15816no—
1443#41—1588no—
1444C2×Q8—3168no—
1445C2×Q8—3164no—
1446C2×Q8—31616no—
1447C2×Q8—3168no—
1448C2×Q8—3164no—
1449C2×Q8—792no—
1450C2×Q8—792no—
1451C2×Q8—798no—
1452C2×Q8—798no—
1453C2×Q8—794no—
1454C2×Q8—794no—
1455C2×Q8—792no—
1456C2×Q8—792no—
1457C2×Q8—794no—
1458C2×Q8—794no—
1459C2×Q8—1588no—
1460C2×Q8C23×D7912yes—
1461C2×Q8C23×D7912yes—
1462C2×Q8C23×D7912yes—
1463C2×D4—24no—
1464C2×D4—3164no—
1465C2×D4—3164no—
1466C2×D4—3164no—
1467C2×D4—3164no—
1468C2×D4—794no—
1469C2×D4—798no—
1470C2×D4—794no—
1471C2×D4—798no—
1472C2×D4—794no—
1473C2×D4—794no—
1474C2×D4—794no—
1475C2×D4—794no—
1476C2×D4—794no—
1477C2×D4—794no—
1478C2×D4—794no—
1479C2×D4—792no—
1480C2×D4—792no—
1481C2×D4—794no—
1482C2×D4—1584no—
1483C2×D4C23×D7914yes—
1484C2×D4C23×D7912yes—
1485C2×D4C23×D7912yes—
1486C2×D4C23×D7912yes—
1487C2×D4C23×D7912yes—
1488C2×D4C23×D7918yes—
1489C2×D4C23×D7912yes—
1490C2×D4C23×D7918yes—
1491C22×C4—44no—
1492C22×C4—3164no—
1493C22×C4—3162no—
1494C22×C4—792no—
1495C22×C4—798no—
1496C22×C4—798no—
1497C22×C4—798no—
1498C22×C4—791no—
1499C22×C4—791no—
1500C22×C4—794no—
1501C22×C4—798no—
1502C22×C4—798no—
1503C22×C4—794no—
1504C22×C4—791no—
1505C22×C4—791no—
1506C22×C4—791no—
1507C22×C4—791no—
1508C22×C4—794no—
1509C22×C4—794no—
1510C22×C4—791no—
1511C22×C4—791no—
1512C22×C4—791no—
1513C22×C4—791no—
1514C22×C4—791no—
1515C22×C4—791no—
1516C22×C4—791no—
1517C22×C4—791no—
1518C22×C4—791no—
1519C22×C4—794no—
1520C22×C4—794no—
1521C22×C4—1584no—
1522C22×C4—1584no—
1523C22×C4C23×D7911yescharacteristic
1524C22×C4C23×D7914yes—
1525C22×C4C23×D7914yes—
1526C22×C4C23×D7911yescharacteristic
1527C22×C4C23×D7912yes—
1528C22×C4C23×D7914yes—
1529C22×C4C23×D7918yes—
1530C22×C4C23×D7911yescharacteristic
1531C4⋊C4—794no—
1532C4⋊C4—794no—
1533C4⋊C4—794no—
1534C4⋊C4—794no—
1535C4⋊C4—798no—
1536C4⋊C4—798no—
1537C4⋊C4—794no—
1538C4⋊C4—794no—
1539C4⋊C4—794no—
1540C4⋊C4—794no—
1541C4⋊C4—798no—
1542C4⋊C4—798no—
1543C4⋊C4—794no—
1544C4⋊C4—794no—
1545C4⋊C4—794no—
1546C4⋊C4—794no—
1547C4⋊C4—794no—
1548C4⋊C4—794no—
1549C4⋊C4—792no—
1550C4⋊C4—792no—
1551C4⋊C4—792no—
1552C4⋊C4—792no—
1553C4⋊C4—792no—
1554C4⋊C4—792no—
1555C4⋊C4—798no—
1556C4⋊C4—798no—
1557C4⋊C4—798no—
1558C4⋊C4—794no—
1559C4⋊C4—794no—
1560C4⋊C4—792no—
1561C4⋊C4—792no—
1562C4⋊C4—792no—
1563C4⋊C4—792no—
1564C4⋊C4—794no—
1565C4⋊C4—794no—
1566C4⋊C4C23×D7912yes—
1567C4⋊C4C23×D7914yes—
1568C4⋊C4C23×D7912yes—
1569C4⋊C4C23×D7912yes—
1570C4⋊C4C23×D7914yes—
1571C4⋊C4C23×D7912yes—
1572C4⋊C4C23×D7912yes—
1573C4⋊C4C23×D7912yes—
1574C4⋊C4C23×D7918yes—
1575C4⋊C4C23×D7912yes—
1576C4⋊C4C23×D7912yes—
1577C22⋊C4—794no—
1578C22⋊C4—794no—
1579C22⋊C4—794no—
1580C22⋊C4—798no—
1581C22⋊C4—798no—
1582C22⋊C4—794no—
1583C22⋊C4—794no—
1584C22⋊C4—794no—
1585C22⋊C4—794no—
1586C22⋊C4—798no—
1587C22⋊C4—794no—
1588C22⋊C4—794no—
1589C22⋊C4—794no—
1590C22⋊C4—794no—
1591C22⋊C4—794no—
1592C22⋊C4—798no—
1593C22⋊C4—798no—
1594C22⋊C4—794no—
1595C22⋊C4—794no—
1596C22⋊C4—794no—
1597C22⋊C4—798no—
1598C22⋊C4—798no—
1599C22⋊C4—794no—
1600C22⋊C4C23×D7914yes—
1601C22⋊C4C23×D7914yes—
1602C22⋊C4C23×D7914yes—
1603C22⋊C4C23×D7914yes—
1604C22⋊C4C23×D7918yes—
1605C22⋊C4C23×D7914yes—
1606C22⋊C4C23×D7918yes—
1607C22⋊C4C23×D7918yes—
1608C42—791no—
1609C42—791no—
1610C42—791no—
1611C42—791no—
1612C42—791no—
1613C42—791no—
1614C42—791no—
1615C42—791no—
1616C42—791no—
1617C42—791no—
1618C42—791no—
1619C42—791no—
1620C42—794no—
1621C42—794no—
1622C42—794no—
1623C42—794no—
1624C42—794no—
1625C42—794no—
1626C42—798no—
1627C42C23×D7911yescharacteristic
1628C42C23×D7911yescharacteristic
1629C42C23×D7911yescharacteristic
1630C42C23×D7911yescharacteristic
1631C42C23×D7914yes—
1632C42C23×D7918yes—
1633C23—24no—
1634C23—42no—
1635C23—42no—
1636C23—3161no—
1637C23—3162no—
1638C23—3162no—
1639C23—791no—
1640C23—794no—
1641C23—791no—
1642C23—1582no—
1643C23—1582no—
1644C23—1584no—
1645C23C24×D7914yes—
1646C23C24×D7914yes—
1647C23C24×D7911yescharacteristic
1648Q8—24no—
1649Q8—24no—
1650Q8—42no—
1651Q8—3168no—
1652Q8—3168no—
1653Q8—3164no—
1654Q8—3162no—
1655Q8—3162no—
1656Q8—1588no—
1657Q8—1588no—
1658Q8—1588no—
1659Q8—1584no—
1660Q8—1584no—
1661D4—28no—
1662D4—24no—
1663D4—24no—
1664D4—24no—
1665D4—24no—
1666D4—48no—
1667D4—42no—
1668D4—48no—
1669D4—3164no—
1670D4—3164no—
1671D4—3164no—
1672D4—3164no—
1673D4—3164no—
1674D4—3168no—
1675D4—3168no—
1676D4—1588no—
1677D4—1588no—
1678D4—1588no—
1679D4—1588no—
1680D4—1588no—
1681D4—1584no—
1682D4—1584no—
1683C2×C4—22no—
1684C2×C4—28no—
1685C2×C4—28no—
1686C2×C4—42no—
1687C2×C4—44no—
1688C2×C4—41no—
1689C2×C4—48no—
1690C2×C4—3164no—
1691C2×C4—3161no—
1692C2×C4—3161no—
1693C2×C4—3168no—
1694C2×C4—3164no—
1695C2×C4—3168no—
1696C2×C4—3162no—
1697C2×C4—3168no—
1698C2×C4—3168no—
1699C2×C4—3168no—
1700C2×C4—791no—
1701C2×C4—791no—
1702C2×C4—794no—
1703C2×C4—791no—
1704C2×C4—791no—
1705C2×C4—794no—
1706C2×C4—791no—
1707C2×C4—791no—
1708C2×C4—794no—
1709C2×C4—794no—
1710C2×C4—794no—
1711C2×C4—794no—
1712C2×C4—1582no—
1713C2×C4—1582no—
1714C2×C4—1582no—
1715C2×C4—1582no—
1716C2×C4—1588no—
1717C2×C4—1582no—
1718C2×C4—1582no—
1719C2×C4—1588no—
1720C2×C4—1588no—
1721C2×C4—1582no—
1722C2×C4—1588no—
1723C2×C4—1582no—
1724C2×C4—1582no—
1725C2×C4—1582no—
1726C2×C4—1582no—
1727C2×C4—1582no—
1728C2×C4#1457920814yescomplemented
1729C2×C4C24×D7914yes—
1730C2×C4C24×D7911yescharacteristic
1731C2×C4C24×D7911yescharacteristic
1732C2×C4C24×D7911yescharacteristic
1733C2×C4C24×D7914yes—
1734C2×C4C24×D7914yes—
1735C2×C4C24×D7914yes—
1736C2×C4C24×D7911yescharacteristic
1737C2×C4C24×D7911yescharacteristic
1738C2×C4C24×D7911yescharacteristic
1739C22—21no—
1740C22—21no—
1741C22—24no—
1742C22—24no—
1743C22—24no—
1744C22—24no—
1745C22—24no—
1746C22—24no—
1747C22—84no—
1748C22—3164no—
1749C22—792no—
1750C22—6324no—
1751C22—1584no—
1752C22—1581no—
1753C22—1581no—
1754C22—1584no—
1755C22—1584no—
1756C22—1581no—
1757C22—1581no—
1758C22—1581no—
1759C22C2×#1457920812yes—
1760C22C25×D7911yescharacteristic
1761C4—21no—
1762C4—24no—
1763C4—24no—
1764C4—24no—
1765C4—21no—
1766C4—21no—
1767C4—24no—
1768C4—792no—
1769C4—792no—
1770C4—1584no—
1771C4—1584no—
1772C4—1584no—
1773C4—1581no—
1774C4—1581no—
1775C4—1581no—
1776C4—1584no—
1777C4—1584no—
1778C4—1581no—
1779C4H(5,𝔽2)×D7912yes—
1780C4C2×#1457920812yes—
1781C4C2×#1457920812yes—
1782C2—22no—
1783C2—44no—
1784C2—44no—
1785C2—3161no—
1786C2—3164no—
1787C2—1582no—
1788C2C2×H(5,𝔽2)×D7911yescharacteristic
1789C2C22×#1457920811yescharacteristic
1790C2#585×D7911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3506C2
hypercenter#3506D79
hypocenterC79#62835
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3506

Complements

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

NH ≅ G/Ntype
1. #23777960C2semidirect
2. #23777924C2semidirect
3. #23777870C2semidirect
4. #23777813C2semidirect
5. #23777793C2semidirect
6. #23777792C2semidirect
7. #23777777C2semidirect
8. #23777621C2semidirect
9. #23777482C2semidirect
10. #23777437C2semidirect
11. #23777302C2semidirect
12. #23777300C2semidirect
13. #23777275C2semidirect
14. #23777255C2semidirect
15. #23777249C2semidirect
16. #23777213C2semidirect
17. #23777203C2semidirect
18. #23777201C2semidirect
19. #23777179C2semidirect
20. #23777165C2semidirect
21. #23777136C2semidirect
22. #23777132C2semidirect
23. #23777072C2semidirect
24. #23776695C2semidirect
25. #533×D79C2semidirect
26. C2×#19099110C2semidirect
27. C79×#3506C2semidirect
28. C2×#14579208C22semidirect
30. #19099315C22semidirect
31. #19099310C22semidirect
32. #19099308C22semidirect
33. #19099307C22semidirect
34. #19099295C22semidirect
35. #19099295C22semidirect
36. #19099295C22semidirect
37. Q8×Dic158C22semidirect
38. #19099289C22semidirect
39. #19099287C22semidirect
40. #19099281C22semidirect
41. #19099280C22semidirect
42. #19099278C22semidirect
43. #19099277C22semidirect
44. #19099276C22semidirect
45. #19099274C22semidirect
46. #19099273C22semidirect
47. #19099273C22semidirect
49. #19099272C22semidirect
50. #19099272C22semidirect
51. #19099272C22semidirect
52. #19099270C22semidirect
53. #19099270C22semidirect
54. #19099269C22semidirect
55. #19099265C22semidirect
56. #19099261C22semidirect
57. #19099260C22semidirect
58. #19099259C22semidirect
59. #19099257C22semidirect
60. #19099255C22semidirect
61. #19099252C22semidirect
64. #19099233C22semidirect
65. #19099233C22semidirect
66. #19099233C22semidirect
67. Q8×D316C22semidirect
69. D4×Dic158C22semidirect
70. D4×Dic158C22semidirect
71. D4×Dic158C22semidirect
72. #19099228C22semidirect
73. #19099226C22semidirect
74. #19099222C22semidirect
75. #19099221C22semidirect
76. #19099220C22semidirect
77. #19099219C22semidirect
78. #19099219C22semidirect
79. #19099218C22semidirect
80. #19099217C22semidirect
81. #19099214C22semidirect
82. #19099213C22semidirect
83. #19099213C22semidirect
84. #19099212C22semidirect
85. #19099211C22semidirect
86. #19099211C22semidirect
87. #19099211C22semidirect
93. #19099194C22semidirect
95. #19099191C22semidirect
98. #19099185C22semidirect
99. #19099182C22semidirect
100. #19099182C22semidirect
101. #19099181C22semidirect
102. #19099181C22semidirect
103. #19099179C22semidirect
104. #19099177C22semidirect
105. #19099167C22semidirect
106. #19099166C22semidirect
107. #19099166C22semidirect
108. #19099164C22semidirect
109. #19099156C22semidirect
110. #19099155C22semidirect
111. #19099154C22semidirect
113. #19099142C22semidirect
114. #19099142C22semidirect
115. #19099142C22semidirect
116. #19099141C22semidirect
117. #19099140C22semidirect
118. #19099139C22semidirect
119. #19099136C22semidirect
120. #19099136C22semidirect
121. #19099135C22semidirect
125. #19099119C22semidirect
126. #19099118C22semidirect
127. #19099118C22semidirect
128. #19099118C22semidirect
129. #19099118C22semidirect
130. #19099117C22semidirect
131. #19099117C22semidirect
133. #19099116C22semidirect
136. #19099111C22semidirect
137. #19099111C22semidirect
138. #19099111C22semidirect
147. #19099110C22semidirect
148. #19099108C22semidirect
149. #19099108C22semidirect
151. C2×#14579160C22semidirect
152. C4⋊Q8×D79C22semidirect
153. C4⋊Q8×D79C22semidirect
155. #19099100C22semidirect
156. #19099095C22semidirect
157. #19099095C22semidirect
160. #19099092C22semidirect
161. #19099092C22semidirect
162. #19099092C22semidirect
163. #125×D79C22semidirect
177. #19099043C22semidirect
178. #19099042C22semidirect
182. C4×#11929623C22semidirect
183. C4×#11929623C22semidirect
184. C4×Q8×D79C22semidirect
185. C4×Q8×D79C22semidirect
190. #559×C79C22semidirect
191. #556×C79C22semidirect
192. #555×C79C22semidirect
193. #553×C79C22semidirect
194. #550×C79C22semidirect
195. #547×C79C22semidirect
770. C2×C4×C792−1+4semidirect
911. #3506D79semidirect
923. C79#62835semidirect
933. #559C2×D79semidirect
939. #556C2×D79semidirect
943. #555C2×D79semidirect
959. #553C2×D79semidirect
967. #550C2×D79semidirect
989. #547C2×D79semidirect
1728. C2×C4#14579208semidirect

Maximal subgroups

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

subgroupindex
#237779602
#237779242
#237778702
#237778132
#237777932
#237777922
#237777772
#237776212
#237774822
#237774372
#237773022
#237773002
#237772752
#237772552
#237772492
#237772132
#237772032
#237772012
#237771792
#237771652
#237771362
#237771322
#237770722
#237766952
#533×D792
C2×#190991102
C79×#35062
#6283579