Finite Group Databasebeta

← #35196978

Subgroups — #35196978

Order 20224.

6538 conjugacy classes of subgroups.

The subgroup lattice has 1612 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778024C214yesmaximal, complemented
2#23778018C214yesmaximal, complemented
3#23778006C212yesmaximal, complemented
4#23778003C212yesmaximal, complemented
5#23777972C212yesmaximal, complemented
6#23777970C212yesmaximal, complemented
7#23777853C214yesmaximal, complemented
8#23777845C212yesmaximal, complemented
9#23777837C212yesmaximal, complemented
10#23777496C212yesmaximal, complemented
11#23777494C212yesmaximal, complemented
12#23777451C212yesmaximal, complemented
13#23777449C212yesmaximal, complemented
14#23777389C214yesmaximal, complemented
15#23777383C214yesmaximal, complemented
16#23777239C212yesmaximal, complemented
17#23777234C212yesmaximal, complemented
18#23777203C212yesmaximal, complemented
19#23777196C212yesmaximal, complemented
20#23777152C214yesmaximal, complemented
21#23777140C214yesmaximal, complemented
22#23777096C214yesmaximal, complemented
23C2×#19099120C211yesmaximal, characteristic, complemented
24C2×#19099097C211yesmaximal, characteristic, complemented
25C2×#529×C79C211yesmaximal, characteristic, complemented
26C79⋊#564C2214yescomplemented
27#19099317C2214yescomplemented
28#19099315C2218yescomplemented
29#19099315C2218yescomplemented
30#19099313C2214yescomplemented
31#19099307C2214yescomplemented
32#19099292C2212yescomplemented
33#19099291C2212yescomplemented
34#19099291C2214yescomplemented
35#19099290C2214yescomplemented
36#19099286C2212yescomplemented
37#19099286C2214yescomplemented
38#19099283C2212yescomplemented
39#19099282C2214yescomplemented
40#19099281C2218yescomplemented
41#19099280C2218yescomplemented
42#19099272C2218yescomplemented
43#19099272C2218yescomplemented
44#19099271C2214yescomplemented
45#19099270C2214yescomplemented
46#19099270C2214yescomplemented
47#19099268C2218yescomplemented
48#19099268C2214yescomplemented
49#19099267C2218yescomplemented
50#19099265C2214yescomplemented
51#19099262C2218yescomplemented
52#19099259C2214yescomplemented
53#19099256C2218yescomplemented
54#19099253C2214yescomplemented
55#19099253C2214yescomplemented
56#19099252C2218yescomplemented
57#19099251C2214yescomplemented
58#19099250C2218yescomplemented
59#19099250C2218yescomplemented
60#19099249C2218yescomplemented
61#19099248C2218yescomplemented
62#19099248C2218yescomplemented
63#19099248C2214yescomplemented
64#19099246C2218yescomplemented
65#19099246C2218yescomplemented
66#19099242C2218yescomplemented
67#19099239C2218yescomplemented
68#19099239C2218yescomplemented
69#19099239C2218yescomplemented
70#19099236C2218yescomplemented
71#19099236C2218yescomplemented
72Q8×D316C2212yescomplemented
73D4×Dic158C2214yescomplemented
74D4×Dic158C2212yescomplemented
75D4×Dic158C2214yescomplemented
76Q8×C22⋊D79C2214yescomplemented
77#19099226C2214yescomplemented
78#19099222C2214yescomplemented
79#19099222C2214yescomplemented
80#19099221C2214yescomplemented
81#19099219C2214yescomplemented
82#19099218C2212yescomplemented
83#19099217C2212yescomplemented
84#19099209C2214yescomplemented
85#19099207C2214yescomplemented
86#19099194C2214yescomplemented
87#19099193C2214yescomplemented
88#19099192C2214yescomplemented
89#19099191C2214yescomplemented
90#19099189C2214yes—
91#19099189C2214yescomplemented
92#19099188C2214yescomplemented
93#19099184C2214yescomplemented
94#19099184C2214yescomplemented
95#19099182C2214yescomplemented
96#19099179C2218yescomplemented
97#19099178C2214yescomplemented
98#19099177C2218yescomplemented
99#19099176C2214yescomplemented
100#19099175C2214yescomplemented
101#19099175C2214yescomplemented
102#19099172C2218yescomplemented
103#19099171C2218yescomplemented
104#19099171C2214yescomplemented
105#19099170C2218yescomplemented
106#19099170C2218yescomplemented
107#19099160C2214yes—
108#19099158C2214yes—
109#19099157C2218yescomplemented
110#19099157C2218yescomplemented
111#19099155C2218yescomplemented
112#19099154C2218yescomplemented
113#19099151C2214yes—
114#19099150C2214yes—
115#19099139C2214yescomplemented
116#19099133C2214yescomplemented
117#19099122C2214yes—
118#19099120C2212yescomplemented
119#19099120C2212yescomplemented
120#19099120C2214yescomplemented
121#19099120C2212yescomplemented
122#19099120C2212yescomplemented
123#19099120C2212yescomplemented
124#19099120C2212yescomplemented
125#19099120C2212yescomplemented
126#19099120C2212yescomplemented
127#19099115C2214yescomplemented
128C2×#14579161C2211yescharacteristic, complemented
129C2×#14579161C2211yescharacteristic, complemented
130#19099097C2212yes—
131#19099097C2214yes—
132#19099097C2212yes—
133#19099097C2212yes—
134#19099097C2212yes—
135#19099097C2212yescomplemented
136#19099097C2212yescomplemented
137#19099097C2212yescomplemented
138#19099097C2212yescomplemented
139#19099094C2214yes—
140#19099090C2218yescomplemented
141#19099090C2218yescomplemented
142C2×#14579155C2212yescomplemented
143C2×#14579153C2212yescomplemented
144C2×#14579153C2211yescharacteristic, complemented
145C2×#14579149C2211yescharacteristic, complemented
146#19099074C2214yes—
147#19099073C2214yes—
148C2×#14579144C2212yes—
149C2×#14579140C2211yescharacteristic
150C2×#14579140C2212yes—
151C2×#14579140C2212yes—
152C2×#14579140C2214yescomplemented
153C22⋊Q8×D79C2214yescomplemented
154C2×#14579135C2211yescharacteristic
155#19099043C2214yescomplemented
156#19099042C2214yescomplemented
157#19099040C2214yescomplemented
158#19099039C2214yescomplemented
159#19099038C2214yes—
160#19099036C2214yes—
161C2×C4×Dic158C2212yescomplemented
162C2×C4×Dic158C2212yescomplemented
163C2×C4×Dic158C2211yescharacteristic, complemented
164C2×C4×D316C2211yescharacteristic, complemented
165C2×C4×C22⋊D79C2212yes—
166C2×#14579120C2212yes—
167C2×#14579118C2212yescomplemented
168#529×C79C2212yes—
169#529×C79C2212yes—
170#529×C79C2212yes—
171#529×C79C2212yes—
172#529×C79C2212yescomplemented
173#529×C79C2212yescomplemented
174#529×C79C2212yescomplemented
175#529×C79C2212yescomplemented
176C2×#126×C79C2212yescomplemented
177C2×#125×C79C2211yescharacteristic, complemented
178C2×#124×C79C2211yescharacteristic, complemented
179C2×#123×C79C2212yes—
180C2×C22⋊Q8×C79C2211yescharacteristic
181C2×#121×C79C2211yescharacteristic
182C2×C4×Q8×C79C2211yescharacteristic, complemented
183C2×C4×D4×C79C2212yes—
184C2×C4×D4×C79C2211yescharacteristic, complemented
185C2×#117×C79C2212yescomplemented
186C22×C42×C79C2211yescharacteristic
187C2×#11929624C2314yes—
188C2×#11929623C2314yes—
189C22×Dic158C2314yes—
190C22×Dic158C2312yes—
191C22×Dic158C2312yes—
192C22×Dic158C2311yescharacteristic
193C2×Q8×D79C2314yes—
194C22×D316C2311yescharacteristic
195C22×C22⋊D79C2312yes—
196C22×C4×D79C2312yes—
197#14579161C2312yes—
198#14579161C2314yes—
199#14579161C2312yes—
200#14579161C2312yes—
201#14579161C2312yes—
202#14579161C2314yes—
203#14579161C2312yes—
204#14579161C2312yes—
205#14579161C2312yes—
206#14579161C2312yes—
207#14579160C2318yes—
208#14579160C2318yes—
209#14579160C2318yes—
210#14579160C2314yes—
211#14579159C2318yes—
212#14579159C2314yes—
213#14579156C2318yes—
214#14579156C2318yes—
215#14579156C2318yes—
216#14579156C2318yes—
217#14579156C2318yes—
218#14579156C2318yes—
219#14579155C2314yes—
220#14579155C2318yes—
221#14579155C2314yes—
222#14579155C2314yes—
223#14579155C2314yes—
224#14579154C2318yes—
225#14579154C2318yes—
226#14579154C2318yes—
227#14579154C2318yes—
228#14579154C2318yes—
229#14579154C2318yes—
230#14579154C2318yes—
231#14579153C2314yes—
232#14579153C2314yes—
233#14579153C2312yes—
234#14579153C2318yes—
235#14579153C2312yes—
236#14579153C2314yes—
237#14579153C2314yes—
238#14579153C2312yes—
239#14579153C2314yes—
240#14579153C2312yes—
241#14579152C2318yes—
242#14579152C2318yes—
243#14579152C2318yes—
244#14579152C2314yes—
245#14579152C2318yes—
246#14579151C2318yes—
247#14579151C2318yes—
248#14579151C2318yes—
249#14579151C2318yes—
250#14579151C2318yes—
251#14579151C2318yes—
252#14579151C2318yes—
253#14579151C2318yes—
254#14579151C2318yes—
255#14579149C2312yes—
256#14579149C2314yes—
257#14579149C2312yes—
258#14579149C2312yes—
259#14579149C2312yes—
260#14579148C2314yes—
261#14579147C2318yes—
262#14579147C2318yes—
263#14579147C2318yes—
264#14579147C2318yes—
265#14579146C2318yes—
266#14579145C2318yes—
267#14579145C2318yes—
268#14579145C2318yes—
269#14579144C2318yes—
270#14579144C2314yes—
271#14579144C2318yes—
272#14579144C2314yes—
273#14579144C2314yes—
274#14579144C2314yes—
275#14579143C2318yes—
276#14579143C2318yes—
277#14579143C2318yes—
278#14579143C2318yes—
279#14579142C2318yes—
280#14579142C2318yes—
281#14579141C2318yes—
282#14579141C2318yes—
283#14579141C2318yes—
284#14579141C2314yes—
285#14579141C2314yes—
286#14579140C2314yes—
287#14579140C2314yes—
288#14579140C2318yes—
289#14579140C2314yes—
290#14579140C2314yes—
291#14579140C2314yes—
292#14579140C2318yes—
293#14579140C2318yes—
294#14579140C2312yes—
295#14579140C2314yes—
296#14579140C2314yes—
297#14579140C2312yes—
298#14579140C2314yes—
299#14579140C2314yes—
300#14579140C2312yes—
301#14579140C2314yes—
302#14579140C2312yes—
303#14579140C2314yes—
304#14579139C2318yes—
305#14579139C2318yes—
306#14579139C2318yes—
307#14579139C2318yes—
308#14579138C2318yes—
309#14579138C2318yes—
310#14579138C2318yes—
311#14579138C2318yes—
312#14579138C2318yes—
313#14579138C2318yes—
314#14579138C2318yes—
315#14579138C2318yes—
316#14579138C2318yes—
317#14579138C2318yes—
318#14579138C2318yes—
319#14579137C2318yes—
320#14579137C2314yes—
321#14579135C2312yes—
322#14579135C2314yes—
323#14579135C2312yes—
324#14579135C2312yes—
325#14579135C2312yes—
326#14579134C2318yes—
327#14579133C2318yes—
328#14579133C2318yes—
329#14579133C2318yes—
330#14579132C2314yes—
331#14579130C2318yes—
332#14579129C2318yes—
333Q8×Dic79C2314yes—
334C4×Dic158C2312yes—
335C4×Dic158C2314yes—
336C4×Dic158C2314yes—
337C4×Dic158C2318yes—
338C4×Dic158C2314yes—
339C4×Dic158C2312yes—
340C4×Dic158C2314yes—
341C4×Dic158C2314yes—
342C4×Dic158C2314yes—
343C4×Dic158C2314yes—
344C4×Dic158C2314yes—
345C4×Dic158C2314yes—
346C4×Dic158C2312yes—
347C4×Dic158C2314yes—
348C4×Dic158C2314yes—
349C4×Dic158C2312yes—
350#14579126C2318yes—
351#14579126C2318yes—
352#14579126C2318yes—
353#14579126C2314yes—
354#14579126C2314yes—
355C4×D316C2312yes—
356C4×D316C2312yes—
357C4×D316C2314yes—
358C4×D316C2312yes—
359C4×D316C2312yes—
360D4×Dic79C2318yes—
361D4×Dic79C2318yes—
362D4×Dic79C2318yes—
363D4×Dic79C2318yes—
364D4×Dic79C2314yes—
365C4×C22⋊D79C2318yes—
366C4×C22⋊D79C2318yes—
367C4×C22⋊D79C2318yes—
368C4×C22⋊D79C2314yes—
369C4×C22⋊D79C2314yes—
370C4×C22⋊D79C2314yes—
371C4×C22⋊D79C2314yes—
372(C22⋊D79)⋊C4C2318yes—
373(C22⋊D79)⋊C4C2318yes—
374(C22⋊D79)⋊C4C2318yes—
375(C22⋊D79)⋊C4C2318yes—
376(C22⋊D79)⋊C4C2318yes—
377#14579120C2314yes—
378#14579120C2318yes—
379#14579120C2314yes—
380#14579120C2314yes—
381#14579120C2314yes—
382#14579120C2314yes—
383#14579119C2318yes—
384#14579119C2318yes—
385#14579119C2314yes—
386#14579118C2314yes—
387#14579118C2318yes—
388#14579118C2314yes—
389#14579118C2314yes—
390#14579118C2314yes—
391#14579117C2318yes—
392#14579117C2318yes—
393#14579117C2318yes—
394#14579117C2318yes—
395C2×C4⋊Dic79C2312yes—
396C2×C4⋊Dic79C2312yes—
397C2×C4⋊Dic79C2314yes—
398C2×C4⋊Dic79C2311yescharacteristic
399C2×C4⋊Dic79C2312yes—
400C2×C4⋊Dic79C2312yes—
401C2×C4⋊Dic79C2311yescharacteristic
402C2×Dic79⋊C4C2318yes—
403C2×Dic79⋊C4C2312yes—
404C2×Dic79⋊C4C2312yes—
405C2×Dic79⋊C4C2312yes—
406C2×Dic79⋊C4C2314yes—
407C2×Dic79⋊C4C2314yes—
408C2×Dic79⋊C4C2312yes—
409C4⋊C4×D79C2318yes—
410C4⋊C4×D79C2314yes—
411C2×C22⋊Dic79C2312yes—
412C2×C22⋊Dic79C2314yes—
413C2×C22⋊Dic79C2318yes—
414C2×(C2×D79)⋊C4C2312yes—
415C2×(C2×D79)⋊C4C2312yes—
416C2×(C2×D79)⋊C4C2312yes—
417C2×(C2×D79)⋊C4C2312yes—
418C22⋊C4×D79C2318yes—
419C2×C4×Dic79C2312yes—
420C2×C4×Dic79C2314yes—
421C22×Q8×C79C2311yescharacteristic
422C22×D4×C79C2312yes—
423C22×D4×C79C2311yescharacteristic
424C23×C4×C79C2311yescharacteristic
425C23×C4×C79C2311yescharacteristic
426C23×C4×C79C2311yescharacteristic
427C23×C4×C79C2312yes—
428#126×C79C2314yes—
429#126×C79C2314yes—
430#126×C79C2314yes—
431#126×C79C2314yes—
432#125×C79C2312yes—
433#125×C79C2312yes—
434#125×C79C2312yes—
435#125×C79C2312yes—
436#124×C79C2312yes—
437#124×C79C2312yes—
438#124×C79C2312yes—
439#124×C79C2312yes—
440#123×C79C2314yes—
441#123×C79C2314yes—
442#123×C79C2314yes—
443#123×C79C2314yes—
444C22⋊Q8×C79C2312yes—
445C22⋊Q8×C79C2312yes—
446C22⋊Q8×C79C2312yes—
447C22⋊Q8×C79C2312yes—
448#121×C79C2312yes—
449#121×C79C2312yes—
450#121×C79C2312yes—
451#121×C79C2312yes—
452C4×Q8×C79C2312yes—
453C4×Q8×C79C2312yes—
454C4×Q8×C79C2312yes—
455C4×Q8×C79C2312yes—
456C4×D4×C79C2312yes—
457C4×D4×C79C2312yes—
458C4×D4×C79C2314yes—
459C4×D4×C79C2312yes—
460C4×D4×C79C2312yes—
461C4×D4×C79C2314yes—
462C4×D4×C79C2314yes—
463C4×D4×C79C2314yes—
464#117×C79C2314yes—
465#117×C79C2314yes—
466#117×C79C2314yes—
467#117×C79C2314yes—
468C2×C4⋊C4×C79C2312yes—
469C2×C4⋊C4×C79C2312yes—
470C2×C4⋊C4×C79C2312yes—
471C2×C4⋊C4×C79C2311yescharacteristic
472C2×C4⋊C4×C79C2311yescharacteristic
473C2×C4⋊C4×C79C2312yes—
474C2×C22⋊C4×C79C2312yes—
475C2×C22⋊C4×C79C2312yes—
476C2×C22⋊C4×C79C2312yes—
477C2×C22⋊C4×C79C2312yes—
478C2×C22⋊C4×C79C2312yes—
479C2×C42×C79C2311yescharacteristic
480C2×C42×C79C2311yescharacteristic
481C2×C42×C79C2311yescharacteristic
482C2×C42×C79C2311yescharacteristic
483C2×C42×C79C2311yescharacteristic
484C2×C42×C79C2311yescharacteristic
485C2×C42×C79C2311yescharacteristic
486C2×C42×C79C2311yescharacteristic
487C2×C42×C79C2311yescharacteristic
488C2×C42×C79C2311yescharacteristic
489C2×C42×C79C2311yescharacteristic
490C2×C42×C79C2311yescharacteristic
491C2×C42×C79C2312yes—
492C23×D79C2412yes—
493#11929624—48no—
494#11929623—48no—
495C2×Dic158—42no—
496C2×Dic158—44no—
497C2×Dic158—44no—
498C2×Dic158—48no—
499C2×Dic158C2414yes—
500C2×Dic158C2412yes—
501C2×Dic158C2414yes—
502C2×Dic158C2418yes—
503C2×Dic158C2418yes—
504C2×Dic158C2412yes—
505C2×Dic158C2414yes—
506C2×Dic158C2414yes—
507Q8×D79—48no—
508C2×D316—42no—
509C2×D316C2412yes—
510C2×D316C2412yes—
511C2×C22⋊D79—28no—
512C2×C22⋊D79C2414yes—
513C2×C22⋊D79C2414yes—
514C2×C22⋊D79C2418yes—
515C2×C22⋊D79C2418yes—
516C22×Dic79C2412yes—
517C22×Dic79C2412yes—
518C22×Dic79C2414yes—
519C22×Dic79C2414yes—
520C22×Dic79C2418yes—
521C22×Dic79C2418yes—
522C22×Dic79C2412yes—
523C2×C4×D79—44no—
524C2×C4×D79C2414yes—
525C2×C4×D79C2418yes—
526C2×C4×D79C2418yes—
527C2×C4×D79C2414yes—
528C4⋊Dic79C2414yes—
529C4⋊Dic79C2418yes—
530C4⋊Dic79C2412yes—
531C4⋊Dic79C2414yes—
532C4⋊Dic79C2412yes—
533C4⋊Dic79C2414yes—
534C4⋊Dic79C2414yes—
535C4⋊Dic79C2414yes—
536C4⋊Dic79C2414yes—
537C4⋊Dic79C2412yes—
538C4⋊Dic79C2412yes—
539C4⋊Dic79C2414yes—
540C4⋊Dic79C2414yes—
541C4⋊Dic79C2418yes—
542C4⋊Dic79C2418yes—
543C4⋊Dic79C2418yes—
544Dic79⋊C4C2418yes—
545Dic79⋊C4C2418yes—
546Dic79⋊C4C2418yes—
547Dic79⋊C4C2414yes—
548Dic79⋊C4C2418yes—
549Dic79⋊C4C2414yes—
550Dic79⋊C4C2414yes—
551Dic79⋊C4C2414yes—
552Dic79⋊C4C2414yes—
553Dic79⋊C4C2418yes—
554Dic79⋊C4C2414yes—
555Dic79⋊C4C2414yes—
556Dic79⋊C4C2418yes—
557Dic79⋊C4C2418yes—
558Dic79⋊C4C2414yes—
559Dic79⋊C4C2418yes—
560Dic79⋊C4C2418yes—
561Dic79⋊C4C2418yes—
562Dic79⋊C4C2418yes—
563Dic79⋊C4C2418yes—
564C22⋊Dic79C2418yes—
565C22⋊Dic79C2414yes—
566C22⋊Dic79C2418yes—
567C22⋊Dic79C2414yes—
568C22⋊Dic79C2418yes—
569C22⋊Dic79C2418yes—
570C22⋊Dic79C2418yes—
571C22⋊Dic79C2418yes—
572(C2×D79)⋊C4C2418yes—
573(C2×D79)⋊C4C2418yes—
574(C2×D79)⋊C4C2414yes—
575(C2×D79)⋊C4C2414yes—
576(C2×D79)⋊C4C2414yes—
577(C2×D79)⋊C4C2414yes—
578(C2×D79)⋊C4C2414yes—
579(C2×D79)⋊C4C2414yes—
580(C2×D79)⋊C4C2414yes—
581(C2×D79)⋊C4C2414yes—
582(C2×D79)⋊C4C2418yes—
583(C2×D79)⋊C4C2418yes—
584C4×Dic79C2414yes—
585C4×Dic79C2418yes—
586C4×Dic79C2418yes—
587C4×Dic79C2414yes—
588C4×Dic79C2418yes—
589C4×Dic79C2418yes—
590C4×Dic79C2418yes—
591C4×Dic79C2418yes—
592C24×C79C2412yes—
593C24×C79C2411yescharacteristic
594C2×Q8×C79—42no—
595C2×Q8×C79C2412yes—
596C2×Q8×C79C2412yes—
597C2×D4×C79—28no—
598C2×D4×C79—42no—
599C2×D4×C79C2412yes—
600C2×D4×C79C2414yes—
601C2×D4×C79C2414yes—
602C2×D4×C79C2412yes—
603C22×C4×C79—24no—
604C22×C4×C79—42no—
605C22×C4×C79—42no—
606C22×C4×C79—44no—
607C22×C4×C79C2411yescharacteristic
608C22×C4×C79C2411yescharacteristic
609C22×C4×C79C2414yes—
610C22×C4×C79C2411yescharacteristic
611C22×C4×C79C2411yescharacteristic
612C22×C4×C79C2411yescharacteristic
613C22×C4×C79C2411yescharacteristic
614C22×C4×C79C2411yescharacteristic
615C22×C4×C79C2411yescharacteristic
616C22×C4×C79C2411yescharacteristic
617C22×C4×C79C2411yescharacteristic
618C22×C4×C79C2411yescharacteristic
619C22×C4×C79C2411yescharacteristic
620C22×C4×C79C2412yes—
621C22×C4×C79C2411yescharacteristic
622C22×C4×C79C2411yescharacteristic
623C22×C4×C79C2411yescharacteristic
624C22×C4×C79C2411yescharacteristic
625C22×C4×C79C2411yescharacteristic
626C22×C4×C79C2411yescharacteristic
627C22×C4×C79C2412yes—
628C22×C4×C79C2412yes—
629C22×C4×C79C2414yes—
630C4⋊C4×C79C2414yes—
631C4⋊C4×C79C2414yes—
632C4⋊C4×C79C2414yes—
633C4⋊C4×C79C2414yes—
634C4⋊C4×C79C2412yes—
635C4⋊C4×C79C2412yes—
636C4⋊C4×C79C2414yes—
637C4⋊C4×C79C2414yes—
638C4⋊C4×C79C2412yes—
639C4⋊C4×C79C2412yes—
640C4⋊C4×C79C2414yes—
641C4⋊C4×C79C2414yes—
642C22⋊C4×C79C2414yes—
643C22⋊C4×C79C2414yes—
644C22⋊C4×C79C2414yes—
645C22⋊C4×C79C2414yes—
646C22⋊C4×C79C2414yes—
647C22⋊C4×C79C2414yes—
648C22⋊C4×C79C2414yes—
649C22⋊C4×C79C2414yes—
650C22⋊C4×C79C2414yes—
651C22⋊C4×C79C2414yes—
652C42×C79C2411yescharacteristic
653C42×C79C2411yescharacteristic
654C42×C79C2411yescharacteristic
655C42×C79C2411yescharacteristic
656C42×C79C2411yescharacteristic
657C42×C79C2411yescharacteristic
658C42×C79C2411yescharacteristic
659C42×C79C2411yescharacteristic
660C42×C79C2411yescharacteristic
661C42×C79C2411yescharacteristic
662C42×C79C2411yescharacteristic
663C42×C79C2411yescharacteristic
664C42×C79C2411yescharacteristic
665C42×C79C2411yescharacteristic
666C42×C79C2411yescharacteristic
667C42×C79C2411yescharacteristic
668C42×C79C2414yes—
669C42×C79C2414yes—
670C23×C79—24no—
671C23×C79—41no—
672C23×C79—41no—
673C23×C79—42no—
674C23×C79—42no—
675C23×C792−1+414yes—
676C23×C79C2514yes—
677C23×C79C2511yescharacteristic
678C23×C79C2511yescharacteristic
679C23×C79C2511yescharacteristic
680C22×D79—24no—
681C22×D79—42no—
682C22×D79—42no—
683C22×D79C2514yes—
684Q8×C79—24no—
685Q8×C79—42no—
686D4×C79—28no—
687D4×C79—28no—
688D4×C79—24no—
689D4×C79—42no—
690C2×C4×C79—22no—
691C2×C4×C79—22no—
692C2×C4×C79—22no—
693C2×C4×C79—22no—
694C2×C4×C79—22no—
695C2×C4×C79—22no—
696C2×C4×C79—24no—
697C2×C4×C79—22no—
698C2×C4×C79—22no—
699C2×C4×C79—22no—
700C2×C4×C79—22no—
701C2×C4×C79—28no—
702C2×C4×C79—22no—
703C2×C4×C79—22no—
704C2×C4×C79—41no—
705C2×C4×C79—44no—
706C2×C4×C79—41no—
707C2×C4×C79—41no—
708C2×C4×C79—41no—
709C2×C4×C79—41no—
710C2×C4×C79—41no—
711C2×C4×C79—42no—
712C2×C4×C79—42no—
713C2×C4×C79C2511yescharacteristic
714C2×C4×C79C2511yescharacteristic
715C2×C4×C79C2514yes—
716C2×C4×C79C2511yescharacteristic
717C2×C4×C79C2514yes—
718C2×C4×C79C2514yes—
719C2×C4×C79C2511yescharacteristic
720C2×C4×C79C2511yescharacteristic
721C2×C4×C79C2511yescharacteristic
722C2×C4×C79C2511yescharacteristic
723C2×C4×C79C2511yescharacteristic
724C2×C4×C79C2511yescharacteristic
725C2×C4×C79C2511yescharacteristic
726C2×C4×C79C2511yescharacteristic
727C2×C4×C79C2511yescharacteristic
728C22⋊D79—28no—
729C22⋊D79—28no—
730C22⋊D79—48no—
731C22⋊D79—48no—
732C2×Dic79—24no—
733C2×Dic79—42no—
734C2×Dic79—44no—
735C2×Dic79—44no—
736C2×Dic79—48no—
737C2×Dic79—42no—
738C2×Dic79—48no—
739C2×Dic79C2514yes—
740C2×Dic79C2514yes—
741C2×Dic79C2518yes—
742C2×Dic79C2518yes—
743C2×Dic79C2514yes—
744D316—24no—
745D316—42no—
746C4×D79—28no—
747C4×D79—44no—
748C4×D79—48no—
749C4×D79—48no—
750Dic158—28no—
751Dic158—24no—
752Dic158—28no—
753Dic158—48no—
754Dic158—44no—
755Dic158—44no—
756Dic158—48no—
757Dic158—42no—
758C22×C79—21no—
759C22×C79—21no—
760C22×C79—21no—
761C22×C79—21no—
762C22×C79—21no—
763C22×C79—21no—
764C22×C79—24no—
765C22×C79—24no—
766C22×C79—24no—
767C22×C79—44no—
768C22×C79—84no—
769C22×C79C2×2−1+412yes—
770C22×C79C2×2−1+412yes—
771C22×C79C2×2−1+412yes—
772C22×C79C2611yescharacteristic
773C2×D79—24no—
774C2×D79—24no—
775C2×D79—24no—
776C2×D79—84no—
777C4×C79—21no—
778C4×C79—21no—
779C4×C79—21no—
780C4×C79—21no—
781C4×C79—24no—
782C4×C79—21no—
783C4×C79—21no—
784C4×C79—21no—
785C4×C79—21no—
786C4×C79—24no—
787C4×C79—21no—
788C4×C79—21no—
789C4×C79—24no—
790C4×C79#58512yes—
791C4×C79#58512yes—
792Dic79—24no—
793Dic79—28no—
794Dic79—28no—
795Dic79—24no—
796Dic79—24no—
797#62823—791nomaximal, Sylow
798C2×C79—22no—
799C2×C79—22no—
800C2×C79—22no—
801C2×C79—44no—
802C2×C79C22×2−1+411yescharacteristic
803C2×C79C2×#58511yescharacteristic
804C2×C79C2×#58511yescharacteristic
805D79—44no—
806#3564—794no—
807#3564—794no—
808#3563—792no—
809#3563—792no—
810#3561—792no—
811#3561—792no—
812#3553—794no—
813#3552—792no—
814#3552—792no—
815#3523—792no—
816#3523—792no—
817#3520—792no—
818#3520—792no—
819#3516—794no—
820#3516—794no—
821#3505—792no—
822#3505—792no—
823#3501—792no—
824#3501—792no—
825#3495—794no—
826#3495—794no—
827#3491—794no—
828C2×#533—791no—
829C2×#529—791no—
830C2×#529D7911yescharacteristic, complemented
831C79#6282311yescharacteristic, complemented, Sylow
832#564—794no—
833#563—798no—
834#563—798no—
835#563—794no—
836#563—794no—
837#562—794no—
838#557—794no—
839#557—794no—
840#557—792no—
841#557—792no—
842#556—798no—
843#556—794no—
844#556—794no—
845#556—792no—
846#556—792no—
847#556—798no—
848#554—798no—
849#554—794no—
850#554—794no—
851#554—794no—
852#554—798no—
853#554—798no—
854#554—798no—
855#554—794no—
856#553—798no—
857#553—794no—
858#553—794no—
859#553—798no—
860#552—798no—
861#552—794no—
862#552—798no—
863#552—798no—
864#552—794no—
865#552—794no—
866#552—798no—
867#552—798no—
868#552—798no—
869#552—798no—
870#552—798no—
871#552—794no—
872#551—798no—
873#551—798no—
874#551—798no—
875#551—798no—
876#551—798no—
877#551—798no—
878D4×Q8—794no—
879D4×Q8—794no—
880D4×Q8—792no—
881D4×Q8—794no—
882D4×Q8—794no—
883D4×Q8—792no—
884#548—794no—
885#548—794no—
886#548—794no—
887#548—794no—
888#547—792no—
889#547—792no—
890#546—794no—
891#546—794no—
892#544—794no—
893#544—794no—
894#544—794no—
895#544—794no—
896#543—794no—
897#543—794no—
898#543—794no—
899#542—798no—
900#542—798no—
901#542—794no—
902#542—794no—
903#542—794no—
904#542—794no—
905#541—798no—
906#541—798no—
907#541—798no—
908#541—794no—
909#541—794no—
910#541—798no—
911#541—794no—
912#541—794no—
913#539—798no—
914#539—798no—
915#539—798no—
916#539—794no—
917#539—798no—
918#539—794no—
919#538—794no—
920#538—794no—
921#536—794no—
922#536—794no—
923#534—794no—
924#533—794no—
925#533—792no—
926#533—792no—
927#533—792no—
928#533—792no—
929#533—792no—
930#533—792no—
931#533—792no—
932#533—792no—
933#533—794no—
934C2×C4⋊Q8—791no—
935C2×C4⋊Q8—791no—
936#529—798no—
937#529—798no—
938#529—794no—
939#529—792no—
940#529—792no—
941#529—792no—
942#529—792no—
943#529—792no—
944#529—792no—
945#529—792no—
946#529—792no—
947#529—794no—
948#529C2×D7912yes—
949#529C2×D7912yes—
950#529C2×D7912yes—
951#529C2×D7912yes—
952#529C2×D7912yescomplemented
953#529C2×D7912yescomplemented
954#529C2×D7912yescomplemented
955#529C2×D7912yescomplemented
956C2×#126—792no—
957C2×#126C2×D7912yescomplemented
958C2×#125—791no—
959C2×#125—792no—
960C2×#125C2×D7911yescharacteristic, complemented
961C2×#124—791no—
962C2×#124C2×D7911yescharacteristic, complemented
963#525—794no—
964#525—794no—
965C2×#123—792no—
966C2×#123C2×D7912yes—
967C2×C22⋊Q8—791no—
968C2×C22⋊Q8—792no—
969C2×C22⋊Q8—792no—
970C2×C22⋊Q8—794no—
971C2×C22⋊Q8—794no—
972C2×C22⋊Q8C2×D7911yescharacteristic
973C2×#121—791no—
974C2×#121C2×D7911yescharacteristic
975#520—794no—
976#520—794no—
977#519—794no—
978#519—794no—
979#518—794no—
980#518—794no—
981C2×C4×Q8—791no—
982C2×C4×Q8—792no—
983C2×C4×Q8—792no—
984C2×C4×Q8C2×D7911yescharacteristic, complemented
985C2×C4×D4—792no—
986C2×C4×D4—791no—
987C2×C4×D4C2×D7912yes—
988C2×C4×D4C2×D7911yescharacteristic, complemented
989C2×#117—792no—
990C2×#117—792no—
991C2×#117C2×D7912yescomplemented
992C22×C42C2×D7911yescharacteristic
993C2×#41—794no—
994C2×#41—794no—
995C22×Q8—794no—
996C22×Q8—791no—
997C22×Q8—792no—
998C22×Q8—792no—
999C22×Q8—794no—
1000C22×Q8C22×D7911yescharacteristic
1001C22×D4—792no—
1002C22×D4—791no—
1003C22×D4C22×D7912yes—
1004C22×D4C22×D7911yescharacteristic
1005C23×C4—792no—
1006C23×C4C22×D7911yescharacteristic
1007C23×C4C22×D7912yes—
1008C23×C4C22×D7911yescharacteristic
1009C23×C4C22×D7911yescharacteristic
1010C4⋊Q8—794no—
1011C4⋊Q8—798no—
1012C4⋊Q8—794no—
1013C4⋊Q8—798no—
1014C4⋊Q8—798no—
1015C4⋊Q8—798no—
1016C4⋊Q8—792no—
1017C4⋊Q8—792no—
1018C4⋊Q8—792no—
1019C4⋊Q8—792no—
1020C4⋊Q8—792no—
1021C4⋊Q8—792no—
1022C4⋊Q8—792no—
1023C4⋊Q8—792no—
1024C4⋊Q8—794no—
1025C4⋊Q8—794no—
1026#126—798no—
1027#126—798no—
1028#126—798no—
1029#126—798no—
1030#126—798no—
1031#126—798no—
1032#126—798no—
1033#126—798no—
1034#126—798no—
1035#126—798no—
1036#126—798no—
1037#126—798no—
1038#126—798no—
1039#126—794no—
1040#126—794no—
1041#126—794no—
1042#126—794no—
1043#126—798no—
1044#126C22×D7914yes—
1045#126C22×D7914yes—
1046#126C22×D7914yes—
1047#126C22×D7914yes—
1048#125—798no—
1049#125—798no—
1050#125—794no—
1051#125—798no—
1052#125—798no—
1053#125—798no—
1054#125—798no—
1055#125—798no—
1056#125—798no—
1057#125—798no—
1058#125—798no—
1059#125—798no—
1060#125—798no—
1061#125—798no—
1062#125—792no—
1063#125—792no—
1064#125—792no—
1065#125—792no—
1066#125—794no—
1067#125—794no—
1068#125—794no—
1069#125—794no—
1070#125—794no—
1071#125—798no—
1072#125C22×D7912yes—
1073#125C22×D7912yes—
1074#125C22×D7912yes—
1075#125C22×D7912yes—
1076#124—794no—
1077#124—798no—
1078#124—798no—
1079#124—798no—
1080#124—798no—
1081#124—792no—
1082#124—792no—
1083#124—792no—
1084#124—792no—
1085#124—794no—
1086#124C22×D7912yes—
1087#124C22×D7912yes—
1088#124C22×D7912yes—
1089#124C22×D7912yes—
1090#123—798no—
1091#123—798no—
1092#123—794no—
1093#123—794no—
1094#123—794no—
1095#123—794no—
1096#123—798no—
1097#123—798no—
1098#123—798no—
1099#123—798no—
1100#123—798no—
1101#123—798no—
1102#123—798no—
1103#123—798no—
1104#123—798no—
1105#123—798no—
1106#123C22×D7914yes—
1107#123C22×D7914yes—
1108#123C22×D7914yes—
1109#123C22×D7914yes—
1110C22⋊Q8—794no—
1111C22⋊Q8—798no—
1112C22⋊Q8—792no—
1113C22⋊Q8—794no—
1114C22⋊Q8—794no—
1115C22⋊Q8—792no—
1116C22⋊Q8—792no—
1117C22⋊Q8—792no—
1118C22⋊Q8—794no—
1119C22⋊Q8—794no—
1120C22⋊Q8—794no—
1121C22⋊Q8—794no—
1122C22⋊Q8—794no—
1123C22⋊Q8—794no—
1124C22⋊Q8—798no—
1125C22⋊Q8—794no—
1126C22⋊Q8—794no—
1127C22⋊Q8—798no—
1128C22⋊Q8—794no—
1129C22⋊Q8—798no—
1130C22⋊Q8—798no—
1131C22⋊Q8—794no—
1132C22⋊Q8—794no—
1133C22⋊Q8—798no—
1134C22⋊Q8—798no—
1135C22⋊Q8—798no—
1136C22⋊Q8—798no—
1137C22⋊Q8—798no—
1138C22⋊Q8—798no—
1139C22⋊Q8—798no—
1140C22⋊Q8—798no—
1141C22⋊Q8—798no—
1142C22⋊Q8—798no—
1143C22⋊Q8—798no—
1144C22⋊Q8—798no—
1145C22⋊Q8—798no—
1146C22⋊Q8—798no—
1147C22⋊Q8—798no—
1148C22⋊Q8—798no—
1149C22⋊Q8—798no—
1150C22⋊Q8C22×D7912yes—
1151C22⋊Q8C22×D7912yes—
1152C22⋊Q8C22×D7912yes—
1153C22⋊Q8C22×D7912yes—
1154#121—794no—
1155#121—798no—
1156#121—798no—
1157#121—798no—
1158#121—792no—
1159#121—792no—
1160#121—792no—
1161#121—792no—
1162#121—794no—
1163#121—798no—
1164#121C22×D7912yes—
1165#121C22×D7912yes—
1166#121C22×D7912yes—
1167#121C22×D7912yes—
1168#120—798no—
1169#120—798no—
1170C4×Q8—794no—
1171C4×Q8—794no—
1172C4×Q8—798no—
1173C4×Q8—798no—
1174C4×Q8—798no—
1175C4×Q8—794no—
1176C4×Q8—792no—
1177C4×Q8—794no—
1178C4×Q8—794no—
1179C4×Q8—792no—
1180C4×Q8—792no—
1181C4×Q8—792no—
1182C4×Q8—794no—
1183C4×Q8—794no—
1184C4×Q8—794no—
1185C4×Q8—794no—
1186C4×Q8—794no—
1187C4×Q8—794no—
1188C4×Q8—794no—
1189C4×Q8—798no—
1190C4×Q8—794no—
1191C4×Q8—794no—
1192C4×Q8C22×D7912yes—
1193C4×Q8C22×D7912yes—
1194C4×Q8C22×D7912yes—
1195C4×Q8C22×D7912yes—
1196C4×D4—798no—
1197C4×D4—798no—
1198C4×D4—798no—
1199C4×D4—798no—
1200C4×D4—794no—
1201C4×D4—794no—
1202C4×D4—794no—
1203C4×D4—794no—
1204C4×D4—794no—
1205C4×D4—798no—
1206C4×D4—798no—
1207C4×D4—798no—
1208C4×D4—798no—
1209C4×D4—798no—
1210C4×D4—798no—
1211C4×D4—798no—
1212C4×D4—798no—
1213C4×D4—792no—
1214C4×D4—792no—
1215C4×D4—792no—
1216C4×D4—792no—
1217C4×D4—794no—
1218C4×D4C22×D7914yes—
1219C4×D4C22×D7914yes—
1220C4×D4C22×D7914yes—
1221C4×D4C22×D7914yes—
1222C4×D4C22×D7912yes—
1223C4×D4C22×D7912yes—
1224C4×D4C22×D7912yes—
1225C4×D4C22×D7912yes—
1226#117—794no—
1227#117—794no—
1228#117—794no—
1229#117—794no—
1230#117—798no—
1231#117—794no—
1232#117—794no—
1233#117—798no—
1234#117—798no—
1235#117—798no—
1236#117—798no—
1237#117—798no—
1238#117—798no—
1239#117—794no—
1240#117—794no—
1241#117—794no—
1242#117—794no—
1243#117—798no—
1244#117C22×D7914yes—
1245#117C22×D7914yes—
1246#117C22×D7914yes—
1247#117C22×D7914yes—
1248C2×C4⋊C4—792no—
1249C2×C4⋊C4—792no—
1250C2×C4⋊C4—792no—
1251C2×C4⋊C4—792no—
1252C2×C4⋊C4—791no—
1253C2×C4⋊C4—792no—
1254C2×C4⋊C4—791no—
1255C2×C4⋊C4—794no—
1256C2×C4⋊C4—794no—
1257C2×C4⋊C4—792no—
1258C2×C4⋊C4—792no—
1259C2×C4⋊C4—792no—
1260C2×C4⋊C4—798no—
1261C2×C4⋊C4—794no—
1262C2×C4⋊C4—798no—
1263C2×C4⋊C4—794no—
1264C2×C4⋊C4C22×D7912yes—
1265C2×C4⋊C4C22×D7912yes—
1266C2×C4⋊C4C22×D7912yes—
1267C2×C4⋊C4C22×D7911yescharacteristic
1268C2×C4⋊C4C22×D7911yescharacteristic
1269C2×C4⋊C4C22×D7912yes—
1270C2×C22⋊C4—794no—
1271C2×C22⋊C4—792no—
1272C2×C22⋊C4—798no—
1273C2×C22⋊C4—792no—
1274C2×C22⋊C4—792no—
1275C2×C22⋊C4—792no—
1276C2×C22⋊C4—792no—
1277C2×C22⋊C4—798no—
1278C2×C22⋊C4C22×D7912yes—
1279C2×C22⋊C4C22×D7912yes—
1280C2×C22⋊C4C22×D7912yes—
1281C2×C22⋊C4C22×D7912yes—
1282C2×C22⋊C4C22×D7912yes—
1283C2×C42—792no—
1284C2×C42—794no—
1285C2×C42C22×D7911yescharacteristic
1286C2×C42C22×D7911yescharacteristic
1287C2×C42C22×D7912yes—
1288C2×C42C22×D7911yescharacteristic
1289C2×C42C22×D7911yescharacteristic
1290C2×C42C22×D7911yescharacteristic
1291C2×C42C22×D7911yescharacteristic
1292C2×C42C22×D7911yescharacteristic
1293C2×C42C22×D7911yescharacteristic
1294C2×C42C22×D7911yescharacteristic
1295C2×C42C22×D7911yescharacteristic
1296C2×C42C22×D7911yescharacteristic
1297C2×C42C22×D7911yescharacteristic
1298C24—792no—
1299C24C23×D7912yes—
1300C24C23×D7911yescharacteristic
1301#41—3168no—
1302#41—3168no—
1303C2×Q8—42no—
1304C2×Q8—3162no—
1305C2×Q8—3164no—
1306C2×Q8—3164no—
1307C2×Q8—3168no—
1308C2×Q8—3168no—
1309C2×Q8—798no—
1310C2×Q8—798no—
1311C2×Q8—792no—
1312C2×Q8—794no—
1313C2×Q8—794no—
1314C2×Q8—792no—
1315C2×Q8—794no—
1316C2×Q8—794no—
1317C2×Q8C23×D7912yes—
1318C2×Q8C23×D7912yes—
1319C2×D4—28no—
1320C2×D4—42no—
1321C2×D4—3162no—
1322C2×D4—798no—
1323C2×D4—798no—
1324C2×D4—794no—
1325C2×D4—794no—
1326C2×D4—792no—
1327C2×D4—792no—
1328C2×D4—1588no—
1329C2×D4C23×D7914yes—
1330C2×D4C23×D7914yes—
1331C2×D4C23×D7912yes—
1332C2×D4C23×D7912yes—
1333C22×C4—24no—
1334C22×C4—42no—
1335C22×C4—44no—
1336C22×C4—42no—
1337C22×C4—3164no—
1338C22×C4—792no—
1339C22×C4—794no—
1340C22×C4—794no—
1341C22×C4—792no—
1342C22×C4—798no—
1343C22×C4—798no—
1344C22×C4—798no—
1345C22×C4—798no—
1346C22×C4—794no—
1347C22×C4—792no—
1348C22×C4—794no—
1349C22×C4C23×D7911yescharacteristic
1350C22×C4C23×D7911yescharacteristic
1351C22×C4C23×D7911yescharacteristic
1352C22×C4C23×D7911yescharacteristic
1353C22×C4C23×D7911yescharacteristic
1354C22×C4C23×D7911yescharacteristic
1355C22×C4C23×D7911yescharacteristic
1356C22×C4C23×D7911yescharacteristic
1357C22×C4C23×D7911yescharacteristic
1358C22×C4C23×D7911yescharacteristic
1359C22×C4C23×D7911yescharacteristic
1360C22×C4C23×D7911yescharacteristic
1361C22×C4C23×D7912yes—
1362C22×C4C23×D7914yes—
1363C22×C4C23×D7911yescharacteristic
1364C22×C4C23×D7911yescharacteristic
1365C22×C4C23×D7911yescharacteristic
1366C22×C4C23×D7911yescharacteristic
1367C22×C4C23×D7911yescharacteristic
1368C22×C4C23×D7911yescharacteristic
1369C22×C4C23×D7912yes—
1370C22×C4C23×D7912yes—
1371C22×C4C23×D7914yes—
1372C4⋊C4—794no—
1373C4⋊C4—798no—
1374C4⋊C4—798no—
1375C4⋊C4—798no—
1376C4⋊C4—794no—
1377C4⋊C4—794no—
1378C4⋊C4—794no—
1379C4⋊C4—794no—
1380C4⋊C4—794no—
1381C4⋊C4—794no—
1382C4⋊C4—798no—
1383C4⋊C4—798no—
1384C4⋊C4—798no—
1385C4⋊C4—798no—
1386C4⋊C4—794no—
1387C4⋊C4—798no—
1388C4⋊C4—798no—
1389C4⋊C4—798no—
1390C4⋊C4—798no—
1391C4⋊C4—798no—
1392C4⋊C4—792no—
1393C4⋊C4—794no—
1394C4⋊C4—794no—
1395C4⋊C4—798no—
1396C4⋊C4—792no—
1397C4⋊C4—794no—
1398C4⋊C4—794no—
1399C4⋊C4—794no—
1400C4⋊C4—794no—
1401C4⋊C4—792no—
1402C4⋊C4—792no—
1403C4⋊C4—794no—
1404C4⋊C4—794no—
1405C4⋊C4—798no—
1406C4⋊C4—798no—
1407C4⋊C4—798no—
1408C4⋊C4C23×D7914yes—
1409C4⋊C4C23×D7912yes—
1410C4⋊C4C23×D7914yes—
1411C4⋊C4C23×D7912yes—
1412C4⋊C4C23×D7914yes—
1413C4⋊C4C23×D7914yes—
1414C4⋊C4C23×D7914yes—
1415C4⋊C4C23×D7912yes—
1416C4⋊C4C23×D7914yes—
1417C4⋊C4C23×D7914yes—
1418C4⋊C4C23×D7912yes—
1419C4⋊C4C23×D7914yes—
1420C22⋊C4—794no—
1421C22⋊C4—798no—
1422C22⋊C4—798no—
1423C22⋊C4—794no—
1424C22⋊C4—798no—
1425C22⋊C4—798no—
1426C22⋊C4—798no—
1427C22⋊C4—798no—
1428C22⋊C4—794no—
1429C22⋊C4—794no—
1430C22⋊C4—794no—
1431C22⋊C4—794no—
1432C22⋊C4—794no—
1433C22⋊C4—794no—
1434C22⋊C4—798no—
1435C22⋊C4—798no—
1436C22⋊C4—794no—
1437C22⋊C4—794no—
1438C22⋊C4—798no—
1439C22⋊C4—798no—
1440C22⋊C4C23×D7914yes—
1441C22⋊C4C23×D7914yes—
1442C22⋊C4C23×D7914yes—
1443C22⋊C4C23×D7914yes—
1444C22⋊C4C23×D7914yes—
1445C22⋊C4C23×D7914yes—
1446C22⋊C4C23×D7914yes—
1447C22⋊C4C23×D7914yes—
1448C22⋊C4C23×D7914yes—
1449C22⋊C4C23×D7914yes—
1450C42—794no—
1451C42—798no—
1452C42—798no—
1453C42—794no—
1454C42—798no—
1455C42—798no—
1456C42—798no—
1457C42—798no—
1458C42C23×D7911yescharacteristic
1459C42C23×D7911yescharacteristic
1460C42C23×D7911yescharacteristic
1461C42C23×D7911yescharacteristic
1462C42C23×D7911yescharacteristic
1463C42C23×D7911yescharacteristic
1464C42C23×D7911yescharacteristic
1465C42C23×D7911yescharacteristic
1466C42C23×D7911yescharacteristic
1467C42C23×D7911yescharacteristic
1468C42C23×D7911yescharacteristic
1469C42C23×D7911yescharacteristic
1470C42C23×D7911yescharacteristic
1471C42C23×D7911yescharacteristic
1472C42C23×D7911yescharacteristic
1473C42C23×D7911yescharacteristic
1474C42C23×D7914yes—
1475C42C23×D7914yes—
1476C23—24no—
1477C23—41no—
1478C23—41no—
1479C23—42no—
1480C23—42no—
1481C23—3162no—
1482C23—3162no—
1483C23—794no—
1484C23—1584no—
1485C23#1457920814yes—
1486C23C24×D7914yes—
1487C23C24×D7911yescharacteristic
1488C23C24×D7911yescharacteristic
1489C23C24×D7911yescharacteristic
1490Q8—24no—
1491Q8—42no—
1492Q8—3168no—
1493Q8—3162no—
1494Q8—3164no—
1495Q8—3164no—
1496Q8—3168no—
1497Q8—1584no—
1498Q8—1588no—
1499Q8—1588no—
1500D4—28no—
1501D4—28no—
1502D4—24no—
1503D4—42no—
1504D4—3162no—
1505D4—3168no—
1506D4—3168no—
1507D4—1588no—
1508D4—1588no—
1509D4—1584no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—28no—
1524C2×C4—44no—
1525C2×C4—41no—
1526C2×C4—41no—
1527C2×C4—41no—
1528C2×C4—41no—
1529C2×C4—42no—
1530C2×C4—41no—
1531C2×C4—41no—
1532C2×C4—42no—
1533C2×C4—3164no—
1534C2×C4—3168no—
1535C2×C4—3168no—
1536C2×C4—3162no—
1537C2×C4—3164no—
1538C2×C4—3164no—
1539C2×C4—3168no—
1540C2×C4—3162no—
1541C2×C4—3168no—
1542C2×C4—794no—
1543C2×C4—794no—
1544C2×C4—798no—
1545C2×C4—798no—
1546C2×C4—794no—
1547C2×C4—1584no—
1548C2×C4—1588no—
1549C2×C4C24×D7911yescharacteristic
1550C2×C4C24×D7911yescharacteristic
1551C2×C4C24×D7911yescharacteristic
1552C2×C4C24×D7914yes—
1553C2×C4C24×D7914yes—
1554C2×C4C24×D7914yes—
1555C2×C4C24×D7911yescharacteristic
1556C2×C4C24×D7911yescharacteristic
1557C2×C4C24×D7911yescharacteristic
1558C2×C4C24×D7911yescharacteristic
1559C2×C4C24×D7911yescharacteristic
1560C2×C4C24×D7911yescharacteristic
1561C2×C4C24×D7911yescharacteristic
1562C2×C4C24×D7911yescharacteristic
1563C2×C4C24×D7911yescharacteristic
1564C22—21no—
1565C22—21no—
1566C22—21no—
1567C22—21no—
1568C22—21no—
1569C22—21no—
1570C22—24no—
1571C22—24no—
1572C22—24no—
1573C22—44no—
1574C22—84no—
1575C22—6324no—
1576C22—1584no—
1577C22—1584no—
1578C22—1584no—
1579C22C2×#1457920812yes—
1580C22C2×#1457920812yes—
1581C22C2×#1457920812yes—
1582C22C25×D7911yescharacteristic
1583C4—21no—
1584C4—21no—
1585C4—21no—
1586C4—21no—
1587C4—24no—
1588C4—21no—
1589C4—21no—
1590C4—24no—
1591C4—21no—
1592C4—21no—
1593C4—21no—
1594C4—21no—
1595C4—24no—
1596C4—1584no—
1597C4—1584no—
1598C4—1588no—
1599C4—1588no—
1600C4—1584no—
1601C4#1909939912yes—
1602C4#1909939912yes—
1603C2—22no—
1604C2—22no—
1605C2—22no—
1606C2—44no—
1607C2—3164no—
1608C2C22×#1457920811yescharacteristic
1609C2C2×#1909939911yescharacteristic
1610C2C2×#1909939911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC2×#529×C79C2
hypercenterC2×#529D79
hypocenterC79#62823
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ C2×#529

Complements

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

NH ≅ G/Ntype
1. #23778024C2semidirect
2. #23778018C2semidirect
3. #23778006C2semidirect
4. #23778003C2semidirect
5. #23777972C2semidirect
6. #23777970C2semidirect
7. #23777853C2semidirect
8. #23777845C2semidirect
9. #23777837C2semidirect
10. #23777496C2semidirect
11. #23777494C2semidirect
12. #23777451C2semidirect
13. #23777449C2semidirect
14. #23777389C2semidirect
15. #23777383C2semidirect
16. #23777239C2semidirect
17. #23777234C2semidirect
18. #23777203C2semidirect
19. #23777196C2semidirect
20. #23777152C2semidirect
21. #23777140C2semidirect
22. #23777096C2semidirect
23. C2×#19099120C2semidirect
24. C2×#19099097C2semidirect
25. C2×#529×C79C2semidirect
26. C79⋊#564C22semidirect
27. #19099317C22semidirect
28. #19099315C22semidirect
29. #19099315C22semidirect
30. #19099313C22semidirect
31. #19099307C22semidirect
32. #19099292C22semidirect
33. #19099291C22semidirect
34. #19099291C22semidirect
35. #19099290C22semidirect
36. #19099286C22semidirect
37. #19099286C22semidirect
38. #19099283C22semidirect
39. #19099282C22semidirect
40. #19099281C22semidirect
41. #19099280C22semidirect
42. #19099272C22semidirect
43. #19099272C22semidirect
44. #19099271C22semidirect
45. #19099270C22semidirect
46. #19099270C22semidirect
47. #19099268C22semidirect
48. #19099268C22semidirect
49. #19099267C22semidirect
50. #19099265C22semidirect
51. #19099262C22semidirect
52. #19099259C22semidirect
53. #19099256C22semidirect
54. #19099253C22semidirect
55. #19099253C22semidirect
56. #19099252C22semidirect
57. #19099251C22semidirect
58. #19099250C22semidirect
59. #19099250C22semidirect
60. #19099249C22semidirect
61. #19099248C22semidirect
62. #19099248C22semidirect
63. #19099248C22semidirect
64. #19099246C22semidirect
65. #19099246C22semidirect
66. #19099242C22semidirect
67. #19099239C22semidirect
68. #19099239C22semidirect
69. #19099239C22semidirect
70. #19099236C22semidirect
71. #19099236C22semidirect
72. Q8×D316C22semidirect
73. D4×Dic158C22semidirect
74. D4×Dic158C22semidirect
75. D4×Dic158C22semidirect
76. Q8×C22⋊D79C22semidirect
77. #19099226C22semidirect
78. #19099222C22semidirect
79. #19099222C22semidirect
80. #19099221C22semidirect
81. #19099219C22semidirect
82. #19099218C22semidirect
83. #19099217C22semidirect
84. #19099209C22semidirect
85. #19099207C22semidirect
86. #19099194C22semidirect
87. #19099193C22semidirect
88. #19099192C22semidirect
89. #19099191C22semidirect
91. #19099189C22semidirect
92. #19099188C22semidirect
93. #19099184C22semidirect
94. #19099184C22semidirect
95. #19099182C22semidirect
96. #19099179C22semidirect
97. #19099178C22semidirect
98. #19099177C22semidirect
99. #19099176C22semidirect
100. #19099175C22semidirect
101. #19099175C22semidirect
102. #19099172C22semidirect
103. #19099171C22semidirect
104. #19099171C22semidirect
105. #19099170C22semidirect
106. #19099170C22semidirect
109. #19099157C22semidirect
110. #19099157C22semidirect
111. #19099155C22semidirect
112. #19099154C22semidirect
115. #19099139C22semidirect
116. #19099133C22semidirect
118. #19099120C22semidirect
119. #19099120C22semidirect
120. #19099120C22semidirect
121. #19099120C22semidirect
122. #19099120C22semidirect
123. #19099120C22semidirect
124. #19099120C22semidirect
125. #19099120C22semidirect
126. #19099120C22semidirect
127. #19099115C22semidirect
128. C2×#14579161C22semidirect
129. C2×#14579161C22semidirect
135. #19099097C22semidirect
136. #19099097C22semidirect
137. #19099097C22semidirect
138. #19099097C22semidirect
140. #19099090C22semidirect
141. #19099090C22semidirect
142. C2×#14579155C22semidirect
143. C2×#14579153C22semidirect
144. C2×#14579153C22semidirect
145. C2×#14579149C22semidirect
152. C2×#14579140C22semidirect
153. C22⋊Q8×D79C22semidirect
155. #19099043C22semidirect
156. #19099042C22semidirect
157. #19099040C22semidirect
158. #19099039C22semidirect
161. C2×C4×Dic158C22semidirect
162. C2×C4×Dic158C22semidirect
163. C2×C4×Dic158C22semidirect
164. C2×C4×D316C22semidirect
167. C2×#14579118C22semidirect
172. #529×C79C22semidirect
173. #529×C79C22semidirect
174. #529×C79C22semidirect
175. #529×C79C22semidirect
176. C2×#126×C79C22semidirect
177. C2×#125×C79C22semidirect
178. C2×#124×C79C22semidirect
182. C2×C4×Q8×C79C22semidirect
184. C2×C4×D4×C79C22semidirect
185. C2×#117×C79C22semidirect
830. C2×#529D79semidirect
831. C79#62823semidirect
952. #529C2×D79semidirect
953. #529C2×D79semidirect
954. #529C2×D79semidirect
955. #529C2×D79semidirect
957. C2×#126C2×D79semidirect
960. C2×#125C2×D79semidirect
962. C2×#124C2×D79semidirect
984. C2×C4×Q8C2×D79semidirect
988. C2×C4×D4C2×D79semidirect
991. C2×#117C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780242
#237780182
#237780062
#237780032
#237779722
#237779702
#237778532
#237778452
#237778372
#237774962
#237774942
#237774512
#237774492
#237773892
#237773832
#237772392
#237772342
#237772032
#237771962
#237771522
#237771402
#237770962
C2×#190991202
C2×#190990972
C2×#529×C792
#6282379