Finite Group Databasebeta

← #35197154

Subgroups — #35197154

Order 20224.

7050 conjugacy classes of subgroups.

The subgroup lattice has 1876 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777839C214yesmaximal, complemented
2#23777838C212yesmaximal, complemented
3#23777836C214yesmaximal, complemented
4#23777831C214yesmaximal, complemented
5#23777830C212yesmaximal, complemented
6#23777741C212yesmaximal, complemented
7#23777737C214yesmaximal, complemented
8#23777735C212yesmaximal, complemented
9#23777309C212yesmaximal, complemented
10#23777307C211yesmaximal, characteristic, complemented
11#23777301C212yesmaximal, complemented
12#23777300C212yesmaximal, complemented
13#23777280C212yesmaximal, complemented
14#23777279C212yesmaximal, complemented
15#23777219C211yesmaximal, characteristic, complemented
16#23777216C211yesmaximal, characteristic, complemented
17#23777214C212yesmaximal, complemented
18#23777213C212yesmaximal, complemented
19#23777212C212yesmaximal, complemented
20#23777180C212yesmaximal, complemented
21#23777179C212yesmaximal, complemented
22#23777107C212yesmaximal, complemented
23#23777104C214yesmaximal, complemented
24#23777103C212yesmaximal, complemented
25#23777046C214yesmaximal, complemented
26#23776695C211yesmaximal, characteristic, complemented
27#23776693C211yesmaximal, characteristic, complemented
28C2×C4⋊Q8×D79C211yesmaximal, characteristic, complemented
29C79×#3511C211yesmaximal, characteristic, complemented
30C2×#14579208C2214yes—
31C22×Q8×D79C2212yes—
32#19099316C2218yescomplemented
33#19099315C2218yescomplemented
34#19099314C2218yescomplemented
35#19099313C2218yescomplemented
36Q8×Dic158C2214yescomplemented
37Q8×Dic158C2212yescomplemented
38#19099293C2212yescomplemented
39#19099292C2212yescomplemented
40#19099291C2214yescomplemented
41#19099290C2214yescomplemented
42#19099289C2214yescomplemented
43#19099288C2212yescomplemented
44#19099284C2214yescomplemented
45#19099283C2212yescomplemented
46#19099282C2214yescomplemented
47#19099281C2214yescomplemented
48#19099278C2212yescomplemented
49#19099277C2214yescomplemented
50#19099274C2212yescomplemented
51#19099273C2214yes—
52#19099272C2218yes—
53#19099272C2214yescomplemented
54#19099271C2214yes—
55#19099271C2214yes—
56#19099271C2214yescomplemented
57#19099270C2214yes—
58#19099270C2212yescomplemented
59#19099270C2212yescomplemented
60#19099268C2214yes—
61#19099268C2214yes—
62#19099265C2214yes—
63#19099263C2214yes—
64#19099260C2214yes—
65#19099260C2214yes—
66#19099257C2214yes—
67#19099256C2218yes—
68#19099254C2214yes—
69#19099252C2214yes—
70#19099252C2214yes—
71#19099251C2214yes—
72#19099249C2218yes—
73#19099247C2214yes—
74#19099247C2214yes—
75Q8×D316C2214yes—
76D4×Dic158C2214yes—
77D4×Dic158C2218yes—
78D4×Dic158C2214yescomplemented
79D4×Dic158C2212yescomplemented
80D4×Dic158C2214yescomplemented
81#19099228C2212yescomplemented
82Q8×C22⋊D79C2214yes—
83#19099226C2218yes—
84#19099226C2214yes—
85#19099226C2214yescomplemented
86#19099221C2218yes—
87#19099221C2214yes—
88#19099220C2214yes—
89#19099219C2214yes—
90#19099219C2218yes—
91#19099218C2214yes—
92#19099218C2214yes—
93#19099217C2212yescomplemented
94#19099214C2214yes—
95#19099213C2214yes—
96#19099213C2214yes—
97#19099213C2214yes—
98#19099213C2214yescomplemented
99#19099213C2214yescomplemented
100#19099212C2214yescomplemented
101#19099211C2218yes—
102#19099194C2212yes—
103#19099194C2214yescomplemented
104#19099193C2214yes—
105#19099193C2214yescomplemented
106#19099192C2218yescomplemented
107#19099191C2212yes—
108#19099191C2214yescomplemented
109#19099191C2214yescomplemented
110#19099191C2214yescomplemented
111#19099190C2214yescomplemented
112#19099186C2214yescomplemented
113#19099182C2214yescomplemented
114#19099180C2214yescomplemented
115#19099180C2214yescomplemented
116#19099178C2214yescomplemented
117#19099177C2218yescomplemented
118#19099173C2214yescomplemented
119#19099171C2214yescomplemented
120#19099170C2218yescomplemented
121#19099158C2218yes—
122#19099156C2218yes—
123#19099155C2218yes—
124#19099154C2218yes—
125#19099142C2214yes—
126#19099141C2212yes—
127#19099136C2214yes—
128#19099136C2218yes—
129#19099135C2218yescomplemented
130#19099134C2214yescomplemented
131#19099133C2214yes—
132#19099133C2218yes—
133#19099133C2214yescomplemented
134#19099120C2211yescharacteristic
135#19099120C2212yescomplemented
136#19099118C2211yescharacteristic
137#19099118C2211yescharacteristic
138#19099118C2212yescomplemented
139#19099118C2212yescomplemented
140#19099117C2211yescharacteristic
141#19099117C2211yescharacteristic
142#19099116C2211yescharacteristic
143#19099116C2214yescomplemented
144#19099115C2214yescomplemented
145#19099111C2211yescharacteristic
146#19099111C2211yescharacteristic
147#19099111C2212yescomplemented
148#19099110C2211yescharacteristic
149#19099110C2211yescharacteristic
150#19099109C2211yescharacteristic
151#19099108C2214yescomplemented
152C2×#14579161C2211yescharacteristic
153C2×#14579161C2212yescomplemented
154C2×#14579160C2212yes—
155C2×#14579160C2212yes—
156C2×#14579160C2214yescomplemented
157C2×#14579159C2212yes—
158C4⋊Q8×D79C2212yes—
159C4⋊Q8×D79C2212yes—
160C4⋊Q8×D79C2212yes—
161C4⋊Q8×D79C2212yes—
162C4⋊Q8×D79C2212yes—
163C4⋊Q8×D79C2212yes—
164C4⋊Q8×D79C2212yes—
165C4⋊Q8×D79C2212yes—
166C4⋊Q8×D79C2212yescomplemented
167#19099100C2211yescharacteristic
168#19099100C2211yescharacteristic
169#19099095C2212yes—
170#19099095C2211yescharacteristic
171#19099095C2211yescharacteristic
172#19099095C2212yes—
173#19099094C2212yes—
174#19099094C2212yes—
175#19099093C2212yes—
176#19099093C2212yes—
177#19099092C2212yes—
178#19099092C2212yes—
179#19099091C2212yes—
180#19099091C2212yes—
181#19099075C2211yescharacteristic
182#19099073C2212yes—
183#19099073C2218yes—
184#19099073C2212yes—
185#19099072C2212yes—
186#19099072C2218yes—
187#19099072C2212yes—
188#19099070C2212yes—
189#19099070C2211yescharacteristic
190#19099046C2212yes—
191#19099046C2212yes—
192#19099044C2212yes—
193#19099043C2214yes—
194#19099042C2214yes—
195#19099039C2214yes—
196#41×Dic79C2212yes—
197C4×#11929624C2212yes—
198C4×#11929624C2211yescharacteristic
199C4×#11929624C2212yes—
200C4×#11929623C2212yes—
201C4×#11929623C2212yes—
202C2×C4⋊C4×D79C2212yes—
203C2×C4⋊C4×D79C2212yes—
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
219#14579208—416no—
220C2×#11929624C2312yes—
221C2×#11929624C2311yescharacteristic
222C2×#11929624C2312yes—
223C2×#11929624C2318yes—
224C2×#11929623C2312yes—
225C2×#11929623C2312yes—
226C2×#11929623C2318yes—
227C2×#11929623C2314yes—
228C2×#11929623C2318yes—
229C22×Dic158C2314yes—
230C22×Dic158C2318yes—
231C22×Dic158C2312yes—
232C22×Dic158C2314yes—
233C2×Q8×D79—48no—
234C2×Q8×D79C2314yes—
235C2×Q8×D79C2314yes—
236C2×Q8×D79C2314yes—
237C2×Q8×D79C2314yes—
238C2×Q8×D79C2314yes—
239C22×C4×D79C2311yescharacteristic
240C22×C4×D79C2311yescharacteristic
241C22×C4×D79C2311yescharacteristic
242C22×C4×D79C2314yes—
243#14579161C2312yes—
244#14579161C2314yes—
245#14579161C2318yes—
246#14579161C2314yes—
247#14579161C2312yes—
248#14579161C2314yes—
249#14579161C2312yes—
250#14579161C2312yes—
251#14579161C2311yescharacteristic
252#14579161C2311yescharacteristic
253#14579160C2318yes—
254#14579160C2318yes—
255#14579160C2318yes—
256#14579160C2314yes—
257#14579160C2314yes—
258#14579160C2314yes—
259#14579160C2314yes—
260#14579160C2314yes—
261#14579160C2314yes—
262#14579160C2314yes—
263#14579160C2318yes—
264#14579160C2314yes—
265#14579160C2314yes—
266#14579160C2314yes—
267#14579160C2314yes—
268#14579160C2314yes—
269#14579160C2311yescharacteristic
270#14579160C2311yescharacteristic
271#14579159C2314yes—
272#14579159C2314yes—
273#14579159C2318yes—
274#14579159C2314yes—
275#14579159C2314yes—
276#14579159C2314yes—
277#14579159C2311yescharacteristic
278#14579157C2311yescharacteristic
279#14579156C2318yes—
280#14579156C2312yes—
281#14579156C2312yes—
282#14579155C2318yes—
283#14579154C2318yes—
284#14579154C2318yes—
285#14579154C2318yes—
286#14579154C2318yes—
287#14579154C2318yes—
288#14579154C2312yes—
289#14579154C2314yes—
290#14579154C2314yes—
291#14579154C2312yes—
292#14579153C2318yes—
293#14579153C2318yes—
294#14579153C2312yes—
295#14579153C2314yes—
296#14579152C2318yes—
297#14579152C2318yes—
298#14579152C2312yes—
299#14579152C2314yes—
300#14579152C2314yes—
301#14579152C2311yescharacteristic
302#14579152C2312yes—
303#14579152C2314yes—
304#14579152C2314yes—
305#14579152C2311yescharacteristic
306#14579151C2318yes—
307#14579151C2318yes—
308#14579151C2318yes—
309#14579151C2318yes—
310#14579151C2312yes—
311#14579151C2312yes—
312#14579151C2318yes—
313#14579150C2311yescharacteristic
314#14579148C2312yes—
315#14579148C2311yescharacteristic
316#14579148C2318yes—
317#14579148C2314yes—
318#14579148C2312yes—
319#14579147C2318yes—
320#14579147C2318yes—
321#14579147C2318yes—
322#14579147C2312yes—
323#14579147C2312yes—
324#14579146C2312yes—
325#14579146C2318yes—
326#14579146C2312yes—
327#14579145C2318yes—
328#14579145C2312yes—
329#14579144C2318yes—
330#14579143C2314yes—
331#14579143C2318yes—
332#14579143C2318yes—
333#14579143C2314yes—
334#14579143C2318yes—
335#14579143C2318yes—
336#14579143C2312yes—
337#14579143C2318yes—
338#14579143C2312yes—
339#14579142C2314yes—
340#14579142C2318yes—
341#14579142C2312yes—
342#14579142C2318yes—
343#14579142C2318yes—
344#14579141C2314yes—
345#14579141C2318yes—
346#14579141C2314yes—
347#14579141C2318yes—
348#14579141C2312yes—
349#14579141C2312yes—
350#14579141C2311yescharacteristic
351#14579141C2311yescharacteristic
352#14579140C2314yes—
353#14579140C2318yes—
354#14579140C2314yes—
355#14579140C2314yes—
356#14579140C2318yes—
357#14579140C2318yes—
358#14579140C2318yes—
359#14579140C2312yes—
360#14579140C2312yes—
361#14579139C2318yes—
362#14579139C2318yes—
363#14579139C2318yes—
364#14579139C2312yes—
365#14579139C2312yes—
366#14579138C2318yes—
367#14579138C2318yes—
368#14579138C2318yes—
369#14579138C2318yes—
370#14579138C2318yes—
371#14579138C2318yes—
372#14579138C2318yes—
373#14579138C2318yes—
374#14579138C2318yes—
375#14579138C2318yes—
376#14579138C2318yes—
377#14579138C2318yes—
378#14579138C2312yes—
379#14579138C2312yes—
380#14579137C2314yes—
381#14579137C2318yes—
382#14579137C2314yes—
383#14579137C2311yescharacteristic
384#14579137C2312yes—
385#14579137C2311yescharacteristic
386#14579137C2312yes—
387#14579136C2311yescharacteristic
388#14579136C2311yescharacteristic
389#14579135C2314yes—
390#14579134C2318yes—
391#14579134C2312yes—
392#14579134C2312yes—
393#14579133C2318yes—
394#14579133C2318yes—
395#14579133C2312yes—
396#14579133C2312yes—
397#14579132C2314yes—
398#14579132C2318yes—
399#14579132C2314yes—
400#14579132C2311yescharacteristic
401#14579132C2312yes—
402#14579132C2312yes—
403#14579132C2312yes—
404#14579132C2311yescharacteristic
405#14579132C2312yes—
406#14579131C2312yes—
407#14579129C2314yes—
408#14579129C2312yes—
409Q8×Dic79C2314yes—
410Q8×Dic79C2314yes—
411Q8×Dic79C2314yes—
412Q8×Dic79C2312yes—
413Q8×Dic79C2312yes—
414C4×Dic158C2318yes—
415C4×Dic158C2314yes—
416C4×Dic158C2318yes—
417C4×Dic158C2314yes—
418C4×Dic158C2312yes—
419C4×Dic158C2312yes—
420C4×Dic158C2312yes—
421C4×Dic158C2311yescharacteristic
422C4×Dic158C2312yes—
423C4×Dic158C2312yes—
424C4×Dic158C2312yes—
425C4×Dic158C2311yescharacteristic
426#14579126C2318yes—
427#14579126C2314yes—
428#14579126C2314yes—
429#14579126C2314yes—
430#14579126C2312yes—
431#14579126C2312yes—
432C4×D316C2318yes—
433C4×D316C2311yescharacteristic
434C4×D316C2312yes—
435C4×D316C2312yes—
436C4×D316C2312yes—
437C4×D316C2312yes—
438C4×D316C2311yescharacteristic
439D4×Dic79C2318yes—
440D4×Dic79C2318yes—
441D4×Dic79C2314yes—
442D4×Dic79C2314yes—
443D4×Dic79C2314yes—
444D4×Dic79C2312yes—
445D4×Dic79C2312yes—
446D4×Dic79C2312yes—
447D4×Dic79C2314yes—
448D4×Dic79C2314yes—
449D4×Dic79C2312yes—
450#14579123C2314yes—
451C4×C22⋊D79C2318yes—
452C4×C22⋊D79C2318yes—
453C4×C22⋊D79C2312yes—
454C4×C22⋊D79C2312yes—
455C4×C22⋊D79C2312yes—
456C4×C22⋊D79C2314yes—
457C4×C22⋊D79C2312yes—
458C4×C22⋊D79C2312yes—
459C4×C22⋊D79C2312yes—
460C4×C22⋊D79C2312yes—
461C4×C22⋊D79C2314yes—
462C4×C22⋊D79C2312yes—
463C4×C22⋊D79C2312yes—
464C4×C22⋊D79C2312yes—
465(C22⋊D79)⋊C4C2318yes—
466(C22⋊D79)⋊C4C2318yes—
467(C22⋊D79)⋊C4C2318yes—
468(C22⋊D79)⋊C4C2314yes—
469(C22⋊D79)⋊C4C2314yes—
470#14579120C2312yes—
471#14579120C2312yes—
472#14579120C2314yes—
473#14579120C2312yes—
474#14579120C2314yes—
475#14579120C2311yescharacteristic
476#14579120C2314yes—
477#14579119C2312yes—
478#14579119C2318yes—
479#14579119C2314yes—
480#14579119C2312yes—
481#14579119C2314yes—
482#14579118C2312yes—
483#14579118C2312yes—
484#14579118C2312yes—
485#14579118C2312yes—
486#14579118C2318yes—
487#14579118C2312yes—
488#14579117C2314yes—
489#14579117C2314yes—
490#14579117C2318yes—
491C2×C4⋊Dic79C2312yes—
492C2×C4⋊Dic79C2314yes—
493C2×C4⋊Dic79C2314yes—
494C2×C4⋊Dic79C2314yes—
495C2×C4⋊Dic79C2312yes—
496C2×Dic79⋊C4C2314yes—
497C2×Dic79⋊C4C2318yes—
498C2×Dic79⋊C4C2314yes—
499C4⋊C4×D79C2314yes—
500C4⋊C4×D79C2314yes—
501C4⋊C4×D79C2314yes—
502C4⋊C4×D79C2314yes—
503C4⋊C4×D79C2314yes—
504C4⋊C4×D79C2314yes—
505C4⋊C4×D79C2314yes—
506C4⋊C4×D79C2314yes—
507C4⋊C4×D79C2314yes—
508C4⋊C4×D79C2314yes—
509C2×C4×Dic79C2311yescharacteristic
510C2×C4×Dic79C2311yescharacteristic
511C2×C4×Dic79C2311yescharacteristic
512C2×C4×Dic79C2314yes—
513C42×D79C2311yescharacteristic
514C42×D79C2311yescharacteristic
515C42×D79C2311yescharacteristic
516C42×D79C2311yescharacteristic
517C42×D79C2311yescharacteristic
518C42×D79C2311yescharacteristic
519C42×D79C2311yescharacteristic
520C42×D79C2311yescharacteristic
521C42×D79C2312yes—
522C2×#41×C79C2312yes—
523C2×#41×C79C2311yescharacteristic
524C2×#41×C79C2314yes—
525C22×Q8×C79C2312yes—
526C4⋊Q8×C79C2312yes—
527C4⋊Q8×C79C2312yes—
528C4⋊Q8×C79C2312yes—
529C4⋊Q8×C79C2312yes—
530C4⋊Q8×C79C2311yescharacteristic
531#127×C79C2311yescharacteristic
532#126×C79C2318yes—
533#125×C79C2314yes—
534#124×C79C2318yes—
535#124×C79C2312yes—
536#124×C79C2314yes—
537#123×C79C2318yes—
538C22⋊Q8×C79C2314yes—
539C22⋊Q8×C79C2318yes—
540C22⋊Q8×C79C2314yes—
541C22⋊Q8×C79C2314yes—
542#121×C79C2314yes—
543#121×C79C2318yes—
544#121×C79C2314yes—
545#121×C79C2314yes—
546#121×C79C2312yes—
547#121×C79C2312yes—
548C4×Q8×C79C2314yes—
549C4×Q8×C79C2311yescharacteristic
550C4×Q8×C79C2311yescharacteristic
551C4×Q8×C79C2314yes—
552C4×D4×C79C2318yes—
553C4×D4×C79C2314yes—
554C4×D4×C79C2312yes—
555C4×D4×C79C2314yes—
556C4×D4×C79C2312yes—
557C4×D4×C79C2311yescharacteristic
558C4×D4×C79C2312yes—
559C4×D4×C79C2311yescharacteristic
560C4×D4×C79C2312yes—
561#117×C79C2311yescharacteristic
562#117×C79C2312yes—
563#117×C79C2314yes—
564#117×C79C2314yes—
565C2×C4⋊C4×C79C2312yes—
566C2×C4⋊C4×C79C2314yes—
567C2×C4⋊C4×C79C2312yes—
568C2×C42×C79C2311yescharacteristic
569C2×C42×C79C2312yes—
570C23×D79C2411yescharacteristic
571#11929624—28no—
572#11929624—28no—
573#11929624—24no—
574#11929624—416no—
575#11929623—28no—
576#11929623—28no—
577#11929623—416no—
578#11929623—416no—
579#11929623—48no—
580C2×Dic158—44no—
581C2×Dic158—48no—
582C2×Dic158—48no—
583C2×Dic158—416no—
584C2×Dic158C2418yes—
585C2×Dic158C2414yes—
586C2×Dic158C2412yes—
587C2×Dic158C2412yes—
588C2×Dic158C2412yes—
589C2×Dic158C2411yescharacteristic
590C2×Dic158C2412yes—
591C2×Dic158C2414yes—
592C2×Dic158C2418yes—
593C2×Dic158C2418yes—
594C2×Dic158C2418yes—
595Q8×D79—216no—
596Q8×D79—48no—
597Q8×D79—48no—
598Q8×D79—48no—
599Q8×D79—48no—
600C2×D316C2412yes—
601C2×D316C2411yescharacteristic
602C2×D316C2412yes—
603C2×C22⋊D79C2412yes—
604C2×C22⋊D79C2412yes—
605C2×C22⋊D79C2414yes—
606C2×C22⋊D79C2414yes—
607C2×C22⋊D79C2412yes—
608C2×C22⋊D79C2412yes—
609C2×C22⋊D79C2412yes—
610C2×C22⋊D79C2418yes—
611C22×Dic79C2411yescharacteristic
612C22×Dic79C2414yes—
613C22×Dic79C2414yes—
614C22×Dic79C2411yescharacteristic
615C22×Dic79C2411yescharacteristic
616C22×Dic79C2414yes—
617C22×Dic79C2418yes—
618C22×Dic79C2418yes—
619C2×C4×D79—24no—
620C2×C4×D79—24no—
621C2×C4×D79—24no—
622C2×C4×D79—48no—
623C2×C4×D79C2411yescharacteristic
624C2×C4×D79C2411yescharacteristic
625C2×C4×D79C2411yescharacteristic
626C2×C4×D79C2412yes—
627C2×C4×D79C2418yes—
628C2×C4×D79C2412yes—
629C2×C4×D79C2412yes—
630C2×C4×D79C2411yescharacteristic
631C2×C4×D79C2411yescharacteristic
632C2×C4×D79C2411yescharacteristic
633C2×C4×D79C2411yescharacteristic
634C2×C4×D79C2411yescharacteristic
635C2×C4×D79C2411yescharacteristic
636C2×C4×D79C2411yescharacteristic
637C2×C4×D79C2418yes—
638C2×C4×D79C2418yes—
639C2×C4×D79C2411yescharacteristic
640C2×C4×D79C2411yescharacteristic
641C4⋊Dic79C2414yes—
642C4⋊Dic79C2412yes—
643C4⋊Dic79C2412yes—
644C4⋊Dic79C2414yes—
645C4⋊Dic79C2414yes—
646C4⋊Dic79C2414yes—
647C4⋊Dic79C2411yescharacteristic
648C4⋊Dic79C2418yes—
649C4⋊Dic79C2418yes—
650C4⋊Dic79C2418yes—
651C4⋊Dic79C2412yes—
652C4⋊Dic79C2412yes—
653C4⋊Dic79C2418yes—
654C4⋊Dic79C2411yescharacteristic
655C4⋊Dic79C2414yes—
656C4⋊Dic79C2414yes—
657C4⋊Dic79C2412yes—
658C4⋊Dic79C2412yes—
659C4⋊Dic79C2412yes—
660C4⋊Dic79C2412yes—
661Dic79⋊C4C2418yes—
662Dic79⋊C4C2418yes—
663Dic79⋊C4C2418yes—
664Dic79⋊C4C2418yes—
665Dic79⋊C4C2418yes—
666Dic79⋊C4C2418yes—
667Dic79⋊C4C2412yes—
668Dic79⋊C4C2418yes—
669Dic79⋊C4C2418yes—
670Dic79⋊C4C2412yes—
671Dic79⋊C4C2414yes—
672Dic79⋊C4C2414yes—
673Dic79⋊C4C2414yes—
674Dic79⋊C4C2414yes—
675Dic79⋊C4C2412yes—
676Dic79⋊C4C2412yes—
677Dic79⋊C4C2412yes—
678Dic79⋊C4C2412yes—
679Dic79⋊C4C2412yes—
680Dic79⋊C4C2412yes—
681Dic79⋊C4C2412yes—
682Dic79⋊C4C2412yes—
683Dic79⋊C4C2418yes—
684Dic79⋊C4C2418yes—
685C22⋊Dic79C2418yes—
686C22⋊Dic79C2414yes—
687C22⋊Dic79C2414yes—
688C22⋊Dic79C2414yes—
689C22⋊Dic79C2412yes—
690C22⋊Dic79C2412yes—
691C22⋊Dic79C2412yes—
692C22⋊Dic79C2412yes—
693C22⋊Dic79C2412yes—
694C22⋊Dic79C2418yes—
695C22⋊Dic79C2418yes—
696C22⋊Dic79C2414yes—
697C22⋊Dic79C2414yes—
698(C2×D79)⋊C4C2412yes—
699(C2×D79)⋊C4C2414yes—
700(C2×D79)⋊C4C2412yes—
701(C2×D79)⋊C4C2412yes—
702(C2×D79)⋊C4C2412yes—
703(C2×D79)⋊C4C2412yes—
704(C2×D79)⋊C4C2412yes—
705(C2×D79)⋊C4C2412yes—
706(C2×D79)⋊C4C2412yes—
707(C2×D79)⋊C4C2412yes—
708(C2×D79)⋊C4C2412yes—
709(C2×D79)⋊C4C2414yes—
710(C2×D79)⋊C4C2418yes—
711(C2×D79)⋊C4C2418yes—
712C4×Dic79C2411yescharacteristic
713C4×Dic79C2411yescharacteristic
714C4×Dic79C2411yescharacteristic
715C4×Dic79C2411yescharacteristic
716C4×Dic79C2411yescharacteristic
717C4×Dic79C2411yescharacteristic
718C4×Dic79C2411yescharacteristic
719C4×Dic79C2411yescharacteristic
720C4×Dic79C2411yescharacteristic
721C4×Dic79C2411yescharacteristic
722C4×Dic79C2411yescharacteristic
723C4×Dic79C2411yescharacteristic
724C4×Dic79C2412yes—
725C4×Dic79C2412yes—
726C4×Dic79C2412yes—
727C4×Dic79C2414yes—
728C4×Dic79C2414yes—
729C4×Dic79C2414yes—
730C4×Dic79C2418yes—
731C4×Dic79C2418yes—
732C4×Dic79C2418yes—
733#41×C79—28no—
734#41×C79—24no—
735#41×C79—48no—
736C2×Q8×C79—44no—
737C2×Q8×C79C2414yes—
738C2×Q8×C79C2411yescharacteristic
739C2×Q8×C79C2412yes—
740C2×Q8×C79C2414yes—
741C2×D4×C79C2412yes—
742C2×D4×C79C2412yes—
743C2×D4×C79C2414yes—
744C2×D4×C79C2412yes—
745C2×D4×C79C2411yescharacteristic
746C2×D4×C79C2412yes—
747C2×D4×C79C2418yes—
748C22×C4×C79C2412yes—
749C22×C4×C79C2411yescharacteristic
750C22×C4×C79C2412yes—
751C22×C4×C79C2411yescharacteristic
752C22×C4×C79C2412yes—
753C22×C4×C79C2414yes—
754C22×C4×C79C2418yes—
755C22×C4×C79C2414yes—
756C22×C4×C79C2411yescharacteristic
757C4⋊C4×C79C2411yescharacteristic
758C4⋊C4×C79C2414yes—
759C4⋊C4×C79C2414yes—
760C4⋊C4×C79C2414yes—
761C4⋊C4×C79C2418yes—
762C4⋊C4×C79C2414yes—
763C4⋊C4×C79C2411yescharacteristic
764C4⋊C4×C79C2412yes—
765C4⋊C4×C79C2412yes—
766C4⋊C4×C79C2412yes—
767C4⋊C4×C79C2412yes—
768C4⋊C4×C79C2418yes—
769C22⋊C4×C79C2412yes—
770C22⋊C4×C79C2418yes—
771C22⋊C4×C79C2412yes—
772C22⋊C4×C79C2412yes—
773C22⋊C4×C79C2418yes—
774C22⋊C4×C79C2418yes—
775C22⋊C4×C79C2414yes—
776C22⋊C4×C79C2414yes—
777C42×C79C2411yescharacteristic
778C42×C79C2412yes—
779C42×C79C2411yescharacteristic
780C42×C79C2412yes—
781C42×C79C2411yescharacteristic
782C42×C79C2411yescharacteristic
783C42×C79C2412yes—
784C42×C79C2418yes—
785C23×C79C2512yes—
786C23×C79C2514yes—
787C23×C79C2511yescharacteristic
788C22×D79—22no—
789C22×D79—22no—
790C22×D79—22no—
791C22×D79C2512yes—
792C22×D79C2511yescharacteristic
793C22×D79C2511yescharacteristic
794Q8×C79—28no—
795Q8×C79—22no—
796Q8×C79—24no—
797Q8×C79—44no—
798D4×C79—28no—
799D4×C79—24no—
800D4×C79—24no—
801D4×C79—24no—
802D4×C79—22no—
803D4×C79—24no—
804D4×C79—48no—
805C2×C4×C79—22no—
806C2×C4×C79—24no—
807C2×C4×C79—22no—
808C2×C4×C79—24no—
809C2×C4×C79—28no—
810C2×C4×C79—24no—
811C2×C4×C79—44no—
812C2×C4×C79—48no—
813C2×C4×C792−1+414yescomplemented
814C2×C4×C79C2514yes—
815C2×C4×C79C2512yes—
816C2×C4×C79C2511yescharacteristic
817C2×C4×C79C2511yescharacteristic
818C2×C4×C79C2518yes—
819C2×C4×C79C2512yes—
820C2×C4×C79C2512yes—
821C2×C4×C79C2511yescharacteristic
822C2×C4×C79C2511yescharacteristic
823C2×C4×C79C2511yescharacteristic
824C2×C4×C79C2511yescharacteristic
825C22⋊D79—24no—
826C22⋊D79—28no—
827C22⋊D79—24no—
828C22⋊D79—28no—
829C22⋊D79—24no—
830C22⋊D79—24no—
831C22⋊D79—24no—
832C22⋊D79—48no—
833C2×Dic79—22no—
834C2×Dic79—22no—
835C2×Dic79—28no—
836C2×Dic79—22no—
837C2×Dic79—28no—
838C2×Dic79—44no—
839C2×Dic79—48no—
840C2×Dic79—48no—
841C2×Dic79C2514yes—
842C2×Dic79C2512yes—
843C2×Dic79C2512yes—
844C2×Dic79C2511yescharacteristic
845C2×Dic79C2511yescharacteristic
846C2×Dic79C2511yescharacteristic
847C2×Dic79C2511yescharacteristic
848C2×Dic79C2512yes—
849C2×Dic79C2514yes—
850C2×Dic79C2518yes—
851C2×Dic79C2511yescharacteristic
852C2×Dic79C2511yescharacteristic
853D316—24no—
854D316—24no—
855D316—22no—
856C4×D79—22no—
857C4×D79—216no—
858C4×D79—22no—
859C4×D79—22no—
860C4×D79—24no—
861C4×D79—22no—
862C4×D79—22no—
863C4×D79—22no—
864C4×D79—22no—
865C4×D79—22no—
866C4×D79—24no—
867C4×D79—24no—
868C4×D79—22no—
869C4×D79—22no—
870C4×D79—48no—
871C4×D79—48no—
872C4×D79H(5,𝔽2)14yes—
873C4×D792−1+414yescomplemented
874Dic158—28no—
875Dic158—24no—
876Dic158—24no—
877Dic158—22no—
878Dic158—216no—
879Dic158—24no—
880Dic158—24no—
881Dic158—44no—
882Dic158—48no—
883Dic158—48no—
884Dic158—48no—
885C22×C79—21no—
886C22×C79—21no—
887C22×C79—22no—
888C22×C79—24no—
889C22×C79—22no—
890C22×C79—24no—
891C22×C79—22no—
892C22×C79—24no—
893C22×C79C2×2−1+412yes—
894C22×C79C2611yescharacteristic
895C2×D79—28no—
896C2×D79—21no—
897C2×D79—21no—
898C2×D79—21no—
899C2×D79—21no—
900C2×D79—22no—
901C2×D79—22no—
902C2×D79—22no—
903C2×D79C2×H(5,𝔽2)12yes—
904C2×D79C2×2−1+412yes—
905C4×C79—22no—
906C4×C79—21no—
907C4×C79—28no—
908C4×C79—24no—
909C4×C79—22no—
910C4×C79—22no—
911C4×C79—21no—
912C4×C79C2×H(5,𝔽2)12yes—
913C4×C79C2×2−1+412yes—
914C4×C79C2×2−1+412yes—
915C4×C79C2×2−1+412yes—
916Dic79—22no—
917Dic79—24no—
918Dic79—28no—
919Dic79—21no—
920Dic79—22no—
921Dic79—22no—
922Dic79—24no—
923Dic79—21no—
924Dic79—21no—
925Dic79—21no—
926Dic79C2×H(5,𝔽2)12yes—
927Dic79C2×2−1+412yes—
928#62833—791nomaximal, Sylow
929C2×C79—22no—
930C2×C79—42no—
931C2×C79—44no—
932C2×C79C22×H(5,𝔽2)11yescharacteristic
933C2×C79C22×2−1+411yescharacteristic
934C2×C79C22×2−1+411yescharacteristic
935D79—22no—
936D79—22no—
937D79—42no—
938#3552—792no—
939#3552—794no—
940#3552—794no—
941#3552—792no—
942#3552—794no—
943#3544—792no—
944#3544—792no—
945#3544—794no—
946#3511—792no—
947#3511—792no—
948#3511—791no—
949#3511—792no—
950#3511D7911yescharacteristic, complemented
951#3509—792no—
952#3509—792no—
953#3503—792no—
954#3503—792no—
955#3503—791no—
956#3503—792no—
957#3503—791no—
958#3499—792no—
959#3499—792no—
960#3492—794no—
961#3492—792no—
962#3492—792no—
963#3486—794no—
964#3444—791no—
965#3444—791no—
966C22×C4⋊Q8—791no—
967C79#6283311yescharacteristic, complemented, Sylow
968C2×2−1+4—794no—
969C23×Q8—792no—
970#563—798no—
971#563—798no—
972#563—798no—
973#563—798no—
974Q82—792no—
975Q82—794no—
976Q82—792no—
977#557—792no—
978#557—794no—
979#557—794no—
980#557—794no—
981#557—792no—
982#556—794no—
983#556—794no—
984#556—792no—
985#556—794no—
986#556C2×D7912yescomplemented
987#555—794no—
988#555—792no—
989#555C2×D7912yescomplemented
990#554—792no—
991#554—794no—
992#554—794no—
993#554—794no—
994#554—794no—
995#554—794no—
996#554—792no—
997#554—792no—
998#554—798no—
999#554—794no—
1000#554—794no—
1001#554—794no—
1002#554C2×D7912yescomplemented
1003#553—798no—
1004#553—794no—
1005#553—794no—
1006#553—794no—
1007#553—794no—
1008#553—794no—
1009#553C2×D7914yes—
1010#552—798no—
1011#552—794no—
1012#552—794no—
1013#552—794no—
1014#552—794no—
1015#552—794no—
1016#552—794no—
1017D4×Q8—794no—
1018D4×Q8—792no—
1019D4×Q8—794no—
1020D4×Q8—798no—
1021D4×Q8—794no—
1022D4×Q8—794no—
1023D4×Q8—798no—
1024D4×Q8—794no—
1025D4×Q8—794no—
1026D4×Q8—794no—
1027D4×Q8—792no—
1028#548—794no—
1029#548—798no—
1030#548—794no—
1031#548—798no—
1032#548—794no—
1033#548C2×D7914yes—
1034#547—794no—
1035#547—798no—
1036#547—794no—
1037#547—794no—
1038#547—794no—
1039#547—794no—
1040#547—794no—
1041#547—792no—
1042#547—794no—
1043#547—794no—
1044#547—794no—
1045#547C2×D7912yescomplemented
1046#544—794no—
1047#544—794no—
1048#544—794no—
1049#544—798no—
1050#544—792no—
1051#544—794no—
1052#544—794no—
1053#544—794no—
1054#544—792no—
1055#544—794no—
1056#542—798no—
1057#542—794no—
1058#542—794no—
1059#542—794no—
1060#542—794no—
1061#542—794no—
1062#542C2×D7914yescomplemented
1063#541—798no—
1064#541—794no—
1065#541—794no—
1066#539—798no—
1067#539—798no—
1068#539—798no—
1069#539—798no—
1070#537—792no—
1071#537—794no—
1072#537C2×D7912yes—
1073#536—794no—
1074#536—794no—
1075#536—798no—
1076#536—794no—
1077#536—798no—
1078#536—794no—
1079#536—798no—
1080#533—791no—
1081#533—791no—
1082#533—792no—
1083#533—792no—
1084#533—794no—
1085#533—791no—
1086#533—791no—
1087#533—791no—
1088#533—794no—
1089#533—791no—
1090#533—792no—
1091#533C2×D7912yescomplemented
1092#532—791no—
1093#532—791no—
1094#532—791no—
1095#532—792no—
1096#532—794no—
1097#532—791no—
1098#532—791no—
1099#532C2×D7911yescharacteristic
1100#532C2×D7912yescomplemented
1101C2×C4⋊Q8—792no—
1102C2×C4⋊Q8—792no—
1103C2×C4⋊Q8—792no—
1104C2×C4⋊Q8—792no—
1105C2×C4⋊Q8—792no—
1106C2×C4⋊Q8—792no—
1107C2×C4⋊Q8—792no—
1108C2×C4⋊Q8—792no—
1109C2×C4⋊Q8—792no—
1110C2×C4⋊Q8—792no—
1111C2×C4⋊Q8—792no—
1112C2×C4⋊Q8—792no—
1113C2×C4⋊Q8—794no—
1114C2×C4⋊Q8—791no—
1115C2×C4⋊Q8—792no—
1116C2×C4⋊Q8C2×D7911yescharacteristic
1117#529—792no—
1118#529—792no—
1119#529—792no—
1120#529—792no—
1121#529—791no—
1122#529—791no—
1123#529—792no—
1124#529—792no—
1125#529—792no—
1126#529—791no—
1127#529—791no—
1128#529—792no—
1129#529—792no—
1130#529—792no—
1131#525—792no—
1132#525—791no—
1133#525—792no—
1134#525—792no—
1135#525—798no—
1136#525—792no—
1137#525—792no—
1138#525—798no—
1139#525—791no—
1140#520—792no—
1141#520—792no—
1142#520—794no—
1143#520—794no—
1144#520—792no—
1145#520C2×D7912yes—
1146#519—794no—
1147C4×#41—792no—
1148C4×#41—792no—
1149C4×#41—792no—
1150C4×#41—792no—
1151C4×#41—791no—
1152C4×#41—792no—
1153C4×#41C2×D7911yescharacteristic
1154C22×C4⋊C4—792no—
1155C22×C4⋊C4—792no—
1156C22×C42—791no—
11572−1+4—31616no—
1158C2×#41—798no—
1159C2×#41—794no—
1160C2×#41—798no—
1161C2×#41—792no—
1162C2×#41—792no—
1163C2×#41—798no—
1164C2×#41—792no—
1165C2×#41—791no—
1166C2×#41—792no—
1167C2×#41C22×D7912yes—
1168C2×#41C22×D7911yescharacteristic
1169C2×#41C22×D7914yes—
1170C22×Q8—3168no—
1171C22×Q8—794no—
1172C22×Q8—794no—
1173C22×Q8—794no—
1174C22×Q8—794no—
1175C22×Q8—794no—
1176C22×Q8—792no—
1177C22×Q8—794no—
1178C22×Q8—794no—
1179C22×Q8—798no—
1180C22×Q8C22×D7912yes—
1181C23×C4—794no—
1182C23×C4—791no—
1183C23×C4—791no—
1184C23×C4—791no—
1185C4⋊Q8—794no—
1186C4⋊Q8—794no—
1187C4⋊Q8—794no—
1188C4⋊Q8—794no—
1189C4⋊Q8—794no—
1190C4⋊Q8—791no—
1191C4⋊Q8—798no—
1192C4⋊Q8—794no—
1193C4⋊Q8—791no—
1194C4⋊Q8—794no—
1195C4⋊Q8—794no—
1196C4⋊Q8—794no—
1197C4⋊Q8—794no—
1198C4⋊Q8—794no—
1199C4⋊Q8—794no—
1200C4⋊Q8—794no—
1201C4⋊Q8—798no—
1202C4⋊Q8—798no—
1203C4⋊Q8—794no—
1204C4⋊Q8—794no—
1205C4⋊Q8—794no—
1206C4⋊Q8—794no—
1207C4⋊Q8—791no—
1208C4⋊Q8—798no—
1209C4⋊Q8—798no—
1210C4⋊Q8—792no—
1211C4⋊Q8—791no—
1212C4⋊Q8—792no—
1213C4⋊Q8—792no—
1214C4⋊Q8—792no—
1215C4⋊Q8—794no—
1216C4⋊Q8—794no—
1217C4⋊Q8—794no—
1218C4⋊Q8—791no—
1219C4⋊Q8—798no—
1220C4⋊Q8C22×D7912yes—
1221C4⋊Q8C22×D7912yes—
1222C4⋊Q8C22×D7912yes—
1223C4⋊Q8C22×D7912yes—
1224C4⋊Q8C22×D7911yescharacteristic
1225#127—791no—
1226#127C22×D7911yescharacteristic
1227#126—792no—
1228#126—792no—
1229#126—798no—
1230#126—794no—
1231#126—794no—
1232#126—792no—
1233#126—792no—
1234#126—798no—
1235#126—798no—
1236#126—798no—
1237#126—798no—
1238#126—798no—
1239#126—798no—
1240#126C22×D7918yes—
1241#125—792no—
1242#125—792no—
1243#125—792no—
1244#125—792no—
1245#125—791no—
1246#125—791no—
1247#125—798no—
1248#125—794no—
1249#125—794no—
1250#125—794no—
1251#125—794no—
1252#125—798no—
1253#125—798no—
1254#125—798no—
1255#125—798no—
1256#125—798no—
1257#125—798no—
1258#125—792no—
1259#125—794no—
1260#125—798no—
1261#125—798no—
1262#125C22×D7914yes—
1263#124—791no—
1264#124—792no—
1265#124—791no—
1266#124—792no—
1267#124—794no—
1268#124—798no—
1269#124—792no—
1270#124—792no—
1271#124—798no—
1272#124—798no—
1273#124—798no—
1274#124C22×D7912yes—
1275#124C22×D7914yes—
1276#124C22×D7918yes—
1277#123—794no—
1278#123—792no—
1279#123—798no—
1280#123—798no—
1281#123—798no—
1282#123—798no—
1283#123—792no—
1284#123—792no—
1285#123—798no—
1286#123—794no—
1287#123—792no—
1288#123—794no—
1289#123—792no—
1290#123—792no—
1291#123—798no—
1292#123—798no—
1293#123—798no—
1294#123—798no—
1295#123—798no—
1296#123—798no—
1297#123C22×D7918yes—
1298C22⋊Q8—792no—
1299C22⋊Q8—791no—
1300C22⋊Q8—792no—
1301C22⋊Q8—791no—
1302C22⋊Q8—794no—
1303C22⋊Q8—794no—
1304C22⋊Q8—798no—
1305C22⋊Q8—792no—
1306C22⋊Q8—792no—
1307C22⋊Q8—798no—
1308C22⋊Q8—794no—
1309C22⋊Q8—794no—
1310C22⋊Q8—794no—
1311C22⋊Q8—798no—
1312C22⋊Q8—798no—
1313C22⋊Q8—798no—
1314C22⋊Q8—792no—
1315C22⋊Q8—792no—
1316C22⋊Q8—792no—
1317C22⋊Q8—792no—
1318C22⋊Q8—791no—
1319C22⋊Q8—791no—
1320C22⋊Q8—798no—
1321C22⋊Q8—798no—
1322C22⋊Q8—794no—
1323C22⋊Q8—794no—
1324C22⋊Q8—798no—
1325C22⋊Q8—798no—
1326C22⋊Q8—798no—
1327C22⋊Q8—792no—
1328C22⋊Q8—792no—
1329C22⋊Q8—798no—
1330C22⋊Q8—798no—
1331C22⋊Q8—798no—
1332C22⋊Q8—798no—
1333C22⋊Q8—798no—
1334C22⋊Q8—798no—
1335C22⋊Q8—798no—
1336C22⋊Q8—798no—
1337C22⋊Q8—798no—
1338C22⋊Q8—798no—
1339C22⋊Q8—798no—
1340C22⋊Q8—798no—
1341C22⋊Q8C22×D7914yes—
1342C22⋊Q8C22×D7914yes—
1343C22⋊Q8C22×D7914yes—
1344C22⋊Q8C22×D7918yes—
1345#121—792no—
1346#121—791no—
1347#121—792no—
1348#121—792no—
1349#121—792no—
1350#121—792no—
1351#121—791no—
1352#121—792no—
1353#121—798no—
1354#121—798no—
1355#121—794no—
1356#121—794no—
1357#121—798no—
1358#121—794no—
1359#121—791no—
1360#121—791no—
1361#121—792no—
1362#121—792no—
1363#121—798no—
1364#121C22×D7912yes—
1365#121C22×D7912yes—
1366#121C22×D7918yes—
1367#121C22×D7914yes—
1368#121C22×D7914yes—
1369#121C22×D7914yes—
1370#120—794no—
1371#120—792no—
1372#120—792no—
1373C4×Q8—792no—
1374C4×Q8—792no—
1375C4×Q8—794no—
1376C4×Q8—794no—
1377C4×Q8—794no—
1378C4×Q8—792no—
1379C4×Q8—792no—
1380C4×Q8—798no—
1381C4×Q8—794no—
1382C4×Q8—794no—
1383C4×Q8—794no—
1384C4×Q8—792no—
1385C4×Q8—792no—
1386C4×Q8—792no—
1387C4×Q8—792no—
1388C4×Q8—792no—
1389C4×Q8—791no—
1390C4×Q8—792no—
1391C4×Q8—791no—
1392C4×Q8—798no—
1393C4×Q8—794no—
1394C4×Q8—798no—
1395C4×Q8—794no—
1396C4×Q8C22×D7911yescharacteristic
1397C4×Q8C22×D7911yescharacteristic
1398C4×Q8C22×D7914yes—
1399C4×Q8C22×D7914yes—
1400C4×D4—794no—
1401C4×D4—794no—
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—794no—
1412C4×D4—792no—
1413C4×D4—792no—
1414C4×D4—792no—
1415C4×D4—792no—
1416C4×D4—792no—
1417C4×D4—794no—
1418C4×D4—792no—
1419C4×D4—792no—
1420C4×D4—792no—
1421C4×D4—792no—
1422C4×D4—792no—
1423C4×D4—798no—
1424C4×D4—798no—
1425C4×D4—794no—
1426C4×D4—794no—
1427C4×D4—794no—
1428C4×D4—798no—
1429C4×D4—798no—
1430C4×D4—798no—
1431C4×D4—792no—
1432C4×D4—792no—
1433C4×D4—792no—
1434C4×D4—792no—
1435C4×D4—791no—
1436C4×D4—791no—
1437C4×D4—798no—
1438C4×D4C22×D7912yes—
1439C4×D4C22×D7912yes—
1440C4×D4C22×D7912yes—
1441C4×D4C22×D7912yes—
1442C4×D4C22×D7911yescharacteristic
1443C4×D4C22×D7911yescharacteristic
1444C4×D4C22×D7914yes—
1445C4×D4C22×D7918yes—
1446C4×D4C22×D7914yes—
1447#117—792no—
1448#117—791no—
1449#117—792no—
1450#117—794no—
1451#117—792no—
1452#117—794no—
1453#117—794no—
1454#117—792no—
1455#117—792no—
1456#117—798no—
1457#117—794no—
1458#117—794no—
1459#117—794no—
1460#117—794no—
1461#117—798no—
1462#117—792no—
1463#117—792no—
1464#117—792no—
1465#117—792no—
1466#117—792no—
1467#117—798no—
1468#117C22×D7911yescharacteristic
1469#117C22×D7912yes—
1470#117C22×D7914yes—
1471#117C22×D7914yes—
1472C2×C4⋊C4—792no—
1473C2×C4⋊C4—794no—
1474C2×C4⋊C4—794no—
1475C2×C4⋊C4—792no—
1476C2×C4⋊C4—798no—
1477C2×C4⋊C4—794no—
1478C2×C4⋊C4—794no—
1479C2×C4⋊C4—794no—
1480C2×C4⋊C4—794no—
1481C2×C4⋊C4—794no—
1482C2×C4⋊C4—794no—
1483C2×C4⋊C4—794no—
1484C2×C4⋊C4—794no—
1485C2×C4⋊C4—794no—
1486C2×C4⋊C4—794no—
1487C2×C4⋊C4—794no—
1488C2×C4⋊C4—794no—
1489C2×C4⋊C4—794no—
1490C2×C4⋊C4C22×D7912yes—
1491C2×C4⋊C4C22×D7912yes—
1492C2×C4⋊C4C22×D7914yes—
1493C2×C42—794no—
1494C2×C42—791no—
1495C2×C42—791no—
1496C2×C42—791no—
1497C2×C42—792no—
1498C2×C42—791no—
1499C2×C42—791no—
1500C2×C42—791no—
1501C2×C42—791no—
1502C2×C42—791no—
1503C2×C42—791no—
1504C2×C42—791no—
1505C2×C42—791no—
1506C2×C42C22×D7912yes—
1507C2×C42C22×D7911yescharacteristic
1508C24—791no—
1509#41—28no—
1510#41—24no—
1511#41—48no—
1512#41—31616no—
1513#41—3168no—
1514#41—31616no—
1515#41—31616no—
1516#41—1588no—
1517#41—1588no—
1518#41—1588no—
1519#41—1588no—
1520#41—1584no—
1521C2×Q8—44no—
1522C2×Q8—3164no—
1523C2×Q8—3168no—
1524C2×Q8—3168no—
1525C2×Q8—31616no—
1526C2×Q8—3168no—
1527C2×Q8—3168no—
1528C2×Q8—3168no—
1529C2×Q8—3168no—
1530C2×Q8—798no—
1531C2×Q8—798no—
1532C2×Q8—798no—
1533C2×Q8—794no—
1534C2×Q8—792no—
1535C2×Q8—792no—
1536C2×Q8—791no—
1537C2×Q8—798no—
1538C2×Q8—792no—
1539C2×Q8—792no—
1540C2×Q8—794no—
1541C2×Q8—15816no—
1542C2×Q8C23×D7912yes—
1543C2×Q8C23×D7911yescharacteristic
1544C2×Q8C23×D7914yes—
1545C2×Q8C23×D7914yes—
1546C2×D4—798no—
1547C2×D4—794no—
1548C2×D4—792no—
1549C2×D4—792no—
1550C2×D4—792no—
1551C2×D4—792no—
1552C2×D4—794no—
1553C2×D4—792no—
1554C2×D4—792no—
1555C2×D4—791no—
1556C2×D4—792no—
1557C2×D4C23×D7914yes—
1558C2×D4C23×D7912yes—
1559C2×D4C23×D7912yes—
1560C2×D4C23×D7911yescharacteristic
1561C2×D4C23×D7912yes—
1562C2×D4C23×D7912yes—
1563C2×D4C23×D7918yes—
1564C22×C4—3168no—
1565C22×C4—794no—
1566C22×C4—798no—
1567C22×C4—798no—
1568C22×C4—798no—
1569C22×C4—798no—
1570C22×C4—791no—
1571C22×C4—791no—
1572C22×C4—791no—
1573C22×C4—791no—
1574C22×C4—791no—
1575C22×C4—794no—
1576C22×C4—794no—
1577C22×C4—791no—
1578C22×C4—791no—
1579C22×C4—791no—
1580C22×C4—791no—
1581C22×C4—791no—
1582C22×C4—791no—
1583C22×C4—791no—
1584C22×C4—791no—
1585C22×C4—791no—
1586C22×C4—791no—
1587C22×C4—792no—
1588C22×C4—792no—
1589C22×C4—792no—
1590C22×C4—798no—
1591C22×C4—1584no—
1592C22×C4—1584no—
1593C22×C4—1584no—
1594C22×C4C23×D7911yescharacteristic
1595C22×C4C23×D7911yescharacteristic
1596C22×C4C23×D7914yes—
1597C22×C4C23×D7912yes—
1598C22×C4C23×D7912yes—
1599C22×C4C23×D7912yes—
1600C22×C4C23×D7914yes—
1601C22×C4C23×D7918yes—
1602C22×C4C23×D7911yescharacteristic
1603C4⋊C4—798no—
1604C4⋊C4—792no—
1605C4⋊C4—798no—
1606C4⋊C4—798no—
1607C4⋊C4—798no—
1608C4⋊C4—798no—
1609C4⋊C4—798no—
1610C4⋊C4—798no—
1611C4⋊C4—798no—
1612C4⋊C4—792no—
1613C4⋊C4—792no—
1614C4⋊C4—792no—
1615C4⋊C4—794no—
1616C4⋊C4—794no—
1617C4⋊C4—792no—
1618C4⋊C4—792no—
1619C4⋊C4—792no—
1620C4⋊C4—794no—
1621C4⋊C4—792no—
1622C4⋊C4—792no—
1623C4⋊C4—794no—
1624C4⋊C4—792no—
1625C4⋊C4—798no—
1626C4⋊C4—798no—
1627C4⋊C4—794no—
1628C4⋊C4—792no—
1629C4⋊C4—794no—
1630C4⋊C4—791no—
1631C4⋊C4—794no—
1632C4⋊C4—792no—
1633C4⋊C4—794no—
1634C4⋊C4—798no—
1635C4⋊C4—798no—
1636C4⋊C4—798no—
1637C4⋊C4—791no—
1638C4⋊C4—792no—
1639C4⋊C4—792no—
1640C4⋊C4—792no—
1641C4⋊C4—792no—
1642C4⋊C4—794no—
1643C4⋊C4—792no—
1644C4⋊C4—794no—
1645C4⋊C4—792no—
1646C4⋊C4—798no—
1647C4⋊C4C23×D7914yes—
1648C4⋊C4C23×D7914yes—
1649C4⋊C4C23×D7914yes—
1650C4⋊C4C23×D7914yes—
1651C4⋊C4C23×D7911yescharacteristic
1652C4⋊C4C23×D7918yes—
1653C4⋊C4C23×D7912yes—
1654C4⋊C4C23×D7912yes—
1655C4⋊C4C23×D7918yes—
1656C4⋊C4C23×D7911yescharacteristic
1657C4⋊C4C23×D7912yes—
1658C4⋊C4C23×D7912yes—
1659C22⋊C4—794no—
1660C22⋊C4—792no—
1661C22⋊C4—798no—
1662C22⋊C4—798no—
1663C22⋊C4—798no—
1664C22⋊C4—794no—
1665C22⋊C4—792no—
1666C22⋊C4—794no—
1667C22⋊C4—792no—
1668C22⋊C4—794no—
1669C22⋊C4—794no—
1670C22⋊C4—792no—
1671C22⋊C4—792no—
1672C22⋊C4—794no—
1673C22⋊C4—792no—
1674C22⋊C4—792no—
1675C22⋊C4—792no—
1676C22⋊C4—792no—
1677C22⋊C4—794no—
1678C22⋊C4—798no—
1679C22⋊C4—798no—
1680C22⋊C4—792no—
1681C22⋊C4—792no—
1682C22⋊C4—792no—
1683C22⋊C4—792no—
1684C22⋊C4—792no—
1685C22⋊C4—792no—
1686C22⋊C4C23×D7918yes—
1687C22⋊C4C23×D7914yes—
1688C22⋊C4C23×D7914yes—
1689C22⋊C4C23×D7918yes—
1690C22⋊C4C23×D7912yes—
1691C22⋊C4C23×D7918yes—
1692C22⋊C4C23×D7912yes—
1693C22⋊C4C23×D7912yes—
1694C42—791no—
1695C42—791no—
1696C42—791no—
1697C42—791no—
1698C42—791no—
1699C42—791no—
1700C42—791no—
1701C42—791no—
1702C42—791no—
1703C42—791no—
1704C42—791no—
1705C42—791no—
1706C42—794no—
1707C42—792no—
1708C42—794no—
1709C42—792no—
1710C42—794no—
1711C42—792no—
1712C42—798no—
1713C42—798no—
1714C42—798no—
1715C42C23×D7911yescharacteristic
1716C42C23×D7911yescharacteristic
1717C42C23×D7911yescharacteristic
1718C42C23×D7911yescharacteristic
1719C42C23×D7912yes—
1720C42C23×D7912yes—
1721C42C23×D7912yes—
1722C42C23×D7918yes—
1723C23—791no—
1724C23—791no—
1725C23—792no—
1726C23—1582no—
1727C23—1582no—
1728C23—1582no—
1729C23C24×D7912yes—
1730C23C24×D7914yes—
1731C23C24×D7911yescharacteristic
1732Q8—28no—
1733Q8—22no—
1734Q8—24no—
1735Q8—44no—
1736Q8—3164no—
1737Q8—3168no—
1738Q8—3168no—
1739Q8—3168no—
1740Q8—1584no—
1741Q8—15816no—
1742Q8—1584no—
1743Q8—1584no—
1744Q8—1588no—
1745Q8—1584no—
1746Q8—1582no—
1747D4—28no—
1748D4—24no—
1749D4—24no—
1750D4—24no—
1751D4—22no—
1752D4—24no—
1753D4—48no—
1754D4—3168no—
1755D4—1584no—
1756D4—1584no—
1757D4—1584no—
1758D4—1584no—
1759D4—1584no—
1760D4—1588no—
1761D4—1584no—
1762D4—1588no—
1763D4—1584no—
1764D4—1582no—
1765C2×C4—22no—
1766C2×C4—24no—
1767C2×C4—22no—
1768C2×C4—24no—
1769C2×C4—28no—
1770C2×C4—24no—
1771C2×C4—44no—
1772C2×C4—48no—
1773C2×C4—3168no—
1774C2×C4—3168no—
1775C2×C4—3164no—
1776C2×C4—3168no—
1777C2×C4—3168no—
1778C2×C4—791no—
1779C2×C4—791no—
1780C2×C4—794no—
1781C2×C4—794no—
1782C2×C4—792no—
1783C2×C4—794no—
1784C2×C4—792no—
1785C2×C4—791no—
1786C2×C4—791no—
1787C2×C4—791no—
1788C2×C4—791no—
1789C2×C4—798no—
1790C2×C4—794no—
1791C2×C4—792no—
1792C2×C4—1582no—
1793C2×C4—1582no—
1794C2×C4—15816no—
1795C2×C4—1582no—
1796C2×C4—1582no—
1797C2×C4—1582no—
1798C2×C4—1582no—
1799C2×C4—1588no—
1800C2×C4—1588no—
1801C2×C4—1582no—
1802C2×C4—1582no—
1803C2×C4—1584no—
1804C2×C4—1582no—
1805C2×C4—1584no—
1806C2×C4—1582no—
1807C2×C4—1582no—
1808C2×C4—1582no—
1809C2×C4—1582no—
1810C2×C4—1584no—
1811C2×C4#1457920814yescomplemented
1812C2×C4C24×D7914yes—
1813C2×C4C24×D7912yes—
1814C2×C4C24×D7911yescharacteristic
1815C2×C4C24×D7911yescharacteristic
1816C2×C4C24×D7918yes—
1817C2×C4C24×D7912yes—
1818C2×C4C24×D7912yes—
1819C2×C4C24×D7911yescharacteristic
1820C2×C4C24×D7911yescharacteristic
1821C2×C4C24×D7911yescharacteristic
1822C2×C4C24×D7911yescharacteristic
1823C22—21no—
1824C22—21no—
1825C22—22no—
1826C22—24no—
1827C22—22no—
1828C22—24no—
1829C22—22no—
1830C22—24no—
1831C22—792no—
1832C22—792no—
1833C22—1588no—
1834C22—1582no—
1835C22—1582no—
1836C22—1582no—
1837C22—1581no—
1838C22—1581no—
1839C22—1581no—
1840C22—1581no—
1841C22C2×#1457920812yes—
1842C22C25×D7911yescharacteristic
1843C4—22no—
1844C4—21no—
1845C4—28no—
1846C4—21no—
1847C4—22no—
1848C4—24no—
1849C4—22no—
1850C4—792no—
1851C4—792no—
1852C4—1588no—
1853C4—1584no—
1854C4—1582no—
1855C4—1581no—
1856C4—1581no—
1857C4—1584no—
1858C4—1582no—
1859C4—1581no—
1860C4—1581no—
1861C4—1582no—
1862C4H(5,𝔽2)×D7912yes—
1863C42−1+4×D7912yes—
1864C4C2×#1457920812yes—
1865C4C2×#1457920812yes—
1866C2—22no—
1867C2—42no—
1868C2—44no—
1869C2—3162no—
1870C2—1582no—
1871C2—1582no—
1872C2C2×H(5,𝔽2)×D7911yescharacteristic
1873C2C2×2−1+4×D7911yescharacteristic
1874C2C22×#1457920811yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3511C2
hypercenter#3511D79
hypocenterC79#62833
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3511

Complements

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

NH ≅ G/Ntype
1. #23777839C2semidirect
2. #23777838C2semidirect
3. #23777836C2semidirect
4. #23777831C2semidirect
5. #23777830C2semidirect
6. #23777741C2semidirect
7. #23777737C2semidirect
8. #23777735C2semidirect
9. #23777309C2semidirect
10. #23777307C2semidirect
11. #23777301C2semidirect
12. #23777300C2semidirect
13. #23777280C2semidirect
14. #23777279C2semidirect
15. #23777219C2semidirect
16. #23777216C2semidirect
17. #23777214C2semidirect
18. #23777213C2semidirect
19. #23777212C2semidirect
20. #23777180C2semidirect
21. #23777179C2semidirect
22. #23777107C2semidirect
23. #23777104C2semidirect
24. #23777103C2semidirect
25. #23777046C2semidirect
26. #23776695C2semidirect
27. #23776693C2semidirect
28. C2×C4⋊Q8×D79C2semidirect
29. C79×#3511C2semidirect
32. #19099316C22semidirect
33. #19099315C22semidirect
34. #19099314C22semidirect
35. #19099313C22semidirect
36. Q8×Dic158C22semidirect
37. Q8×Dic158C22semidirect
38. #19099293C22semidirect
39. #19099292C22semidirect
40. #19099291C22semidirect
41. #19099290C22semidirect
42. #19099289C22semidirect
43. #19099288C22semidirect
44. #19099284C22semidirect
45. #19099283C22semidirect
46. #19099282C22semidirect
47. #19099281C22semidirect
48. #19099278C22semidirect
49. #19099277C22semidirect
50. #19099274C22semidirect
53. #19099272C22semidirect
56. #19099271C22semidirect
58. #19099270C22semidirect
59. #19099270C22semidirect
78. D4×Dic158C22semidirect
79. D4×Dic158C22semidirect
80. D4×Dic158C22semidirect
81. #19099228C22semidirect
85. #19099226C22semidirect
93. #19099217C22semidirect
98. #19099213C22semidirect
99. #19099213C22semidirect
100. #19099212C22semidirect
103. #19099194C22semidirect
105. #19099193C22semidirect
106. #19099192C22semidirect
108. #19099191C22semidirect
109. #19099191C22semidirect
110. #19099191C22semidirect
111. #19099190C22semidirect
112. #19099186C22semidirect
113. #19099182C22semidirect
114. #19099180C22semidirect
115. #19099180C22semidirect
116. #19099178C22semidirect
117. #19099177C22semidirect
118. #19099173C22semidirect
119. #19099171C22semidirect
120. #19099170C22semidirect
129. #19099135C22semidirect
130. #19099134C22semidirect
133. #19099133C22semidirect
135. #19099120C22semidirect
138. #19099118C22semidirect
139. #19099118C22semidirect
143. #19099116C22semidirect
144. #19099115C22semidirect
147. #19099111C22semidirect
151. #19099108C22semidirect
153. C2×#14579161C22semidirect
156. C2×#14579160C22semidirect
166. C4⋊Q8×D79C22semidirect
205. #556×C79C22semidirect
206. #555×C79C22semidirect
207. #554×C79C22semidirect
210. #547×C79C22semidirect
211. #542×C79C22semidirect
213. #533×C79C22semidirect
215. #532×C79C22semidirect
813. C2×C4×C792−1+4semidirect
873. C4×D792−1+4semidirect
950. #3511D79semidirect
967. C79#62833semidirect
986. #556C2×D79semidirect
989. #555C2×D79semidirect
1002. #554C2×D79semidirect
1045. #547C2×D79semidirect
1062. #542C2×D79semidirect
1091. #533C2×D79semidirect
1100. #532C2×D79semidirect
1811. C2×C4#14579208semidirect

Maximal subgroups

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

subgroupindex
#237778392
#237778382
#237778362
#237778312
#237778302
#237777412
#237777372
#237777352
#237773092
#237773072
#237773012
#237773002
#237772802
#237772792
#237772192
#237772162
#237772142
#237772132
#237772122
#237771802
#237771792
#237771072
#237771042
#237771032
#237770462
#237766952
#237766932
C2×C4⋊Q8×D792
C79×#35112
#6283379