Finite Group Databasebeta

← #35197101

Subgroups — #35197101

Order 20224.

7264 conjugacy classes of subgroups.

The subgroup lattice has 1828 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777986C214yesmaximal, complemented
2#23777954C214yesmaximal, complemented
3#23777830C212yesmaximal, complemented
4#23777826C214yesmaximal, complemented
5#23777792C212yesmaximal, complemented
6#23777773C212yesmaximal, complemented
7#23777724C212yesmaximal, complemented
8#23777591C214yesmaximal, complemented
9#23777440C212yesmaximal, complemented
10#23777435C212yesmaximal, complemented
11#23777420C214yesmaximal, complemented
12#23777401C212yesmaximal, complemented
13#23777364C212yesmaximal, complemented
14#23777360C214yesmaximal, complemented
15#23777317C212yesmaximal, complemented
16#23777267C211yesmaximal, characteristic, complemented
17#23777229C214yesmaximal, complemented
18#23777192C212yesmaximal, complemented
19#23777166C211yesmaximal, characteristic, complemented
20#23777164C211yesmaximal, characteristic, complemented
21#23777137C214yesmaximal, complemented
22#23777081C212yesmaximal, complemented
23#23777067C212yesmaximal, complemented
24#23776697C211yesmaximal, characteristic, complemented
25#532×D79C211yesmaximal, characteristic, complemented
26C2×#19099095C211yesmaximal, characteristic, complemented
27C79×#3506C211yesmaximal, characteristic, complemented
28C2×#14579208C2212yescomplemented
29C2×#14579206C2212yescomplemented
30C2×#41×D79C2212yescomplemented
31#19099315C2218yescomplemented
32#19099307C2218yescomplemented
33#19099303C2218yescomplemented
34#19099301C2218yescomplemented
35#19099298C2212yescomplemented
36#19099292C2212yescomplemented
37#19099287C2212yescomplemented
38#19099286C2214yescomplemented
39#19099278C2218yescomplemented
40#19099276C2214yescomplemented
41#19099274C2212yescomplemented
42#19099271C2214yescomplemented
43#19099265C2214yescomplemented
44#19099265C2218yescomplemented
45#19099262C2218yescomplemented
46#19099261C2214yescomplemented
47#19099259C2218yescomplemented
48#19099259C2218yescomplemented
49#19099257C2214yescomplemented
50#19099257C2214yescomplemented
51#19099252C2214yescomplemented
52#19099251C2214yescomplemented
53#19099248C2214yescomplemented
54#19099238C2218yescomplemented
55#19099236C2218yescomplemented
56#19099236C2218yescomplemented
57#19099236C2218yescomplemented
58#19099234C2212yescomplemented
59#19099233C2214yescomplemented
60#19099233C2212yescomplemented
61#19099232C2214yescomplemented
62Q8×D316C2214yescomplemented
63D4×Dic158C2212yescomplemented
64#19099228C2212yescomplemented
65#19099225C2214yescomplemented
66#19099222C2214yescomplemented
67#19099221C2214yescomplemented
68#19099221C2214yescomplemented
69#19099219C2214yescomplemented
70#19099219C2214yescomplemented
71#19099217C2212yescomplemented
72#19099217C2212yescomplemented
73#19099217C2218yescomplemented
74#19099217C2214yescomplemented
75#19099210C2214yescomplemented
76#19099210C2214yescomplemented
77#19099208C2214yescomplemented
78#19099208C2218yescomplemented
79#19099208C2214yescomplemented
80#19099208C2214yescomplemented
81#19099206C2214yescomplemented
82#19099206C2218yescomplemented
83#19099204C2214yescomplemented
84#19099201C2214yescomplemented
85#19099200C2218yescomplemented
86#19099200C2218yescomplemented
87#19099200C2218yescomplemented
88D4×D316C2212yescomplemented
89D4×D316C2212yescomplemented
90#19099198C2214yescomplemented
91#19099197C2214yescomplemented
92#19099195C2218yescomplemented
93#19099191C2214yescomplemented
94#19099186C2214yescomplemented
95#19099186C2214yescomplemented
96#19099182C2218yescomplemented
97#19099171C2214yescomplemented
98#19099166C2214yescomplemented
99#19099166C2218yescomplemented
100#19099166C2214yescomplemented
101#19099165C2218yescomplemented
102#19099164C2214yescomplemented
103#19099162C2214yescomplemented
104#19099157C2218yescomplemented
105#19099154C2218yescomplemented
106#19099152C2218yescomplemented
107#19099149C2218yescomplemented
108#19099149C2218yescomplemented
109#19099147C2218yescomplemented
110#19099146C2218yescomplemented
111#19099144C2214yescomplemented
112#19099144C2212yescomplemented
113#19099142C2214yescomplemented
114#19099141C2212yescomplemented
115#19099140C2214yescomplemented
116#19099139C2214yescomplemented
117#19099139C2212yescomplemented
118#19099133C2214yescomplemented
119#19099129C2214yescomplemented
120#19099127C2214yescomplemented
121#19099126C2214yescomplemented
122#19099125C2214yescomplemented
123#19099121C2218yescomplemented
124#19099118C2211yescharacteristic, complemented
125#19099118C2211yescharacteristic, complemented
126#19099114C2211yescharacteristic, complemented
127#19099114C2211yescharacteristic, complemented
128#19099114C2211yescharacteristic, complemented
129#19099113C2211yescharacteristic
130#19099113C2211yescharacteristic, complemented
131#19099112C2212yescomplemented
132#19099111C2214yescomplemented
133#19099111C2211yescharacteristic, complemented
134#19099110C2212yescomplemented
135#19099110C2212yescomplemented
136#19099109C2212yescomplemented
137#19099108C2212yescomplemented
138#19099108C2214yescomplemented
139#19099108C2212yescomplemented
140C4⋊Q8×D79C2211yescharacteristic, complemented
141#127×D79C2211yescharacteristic, complemented
142#19099100C2214yescomplemented
143#19099100C2212yescomplemented
144#19099100C2212yescomplemented
145#19099099C2212yescomplemented
146#19099099C2214yescomplemented
147#19099099C2212yescomplemented
148#19099098C2212yescomplemented
149#19099098C2212yescomplemented
150#19099095C2212yescomplemented
151#19099095C2212yescomplemented
152#19099095C2214yescomplemented
153#19099095C2212yescomplemented
154#19099095C2212yescomplemented
155#19099095C2212yescomplemented
156#19099095C2212yescomplemented
157#19099095C2212yescomplemented
158#19099095C2212yescomplemented
159C2×#14579154C2212yescomplemented
160C2×#14579152C2211yescharacteristic, complemented
161C2×#14579148C2211yescharacteristic, complemented
162#124×D79C2212yescomplemented
163#124×D79C2214yescomplemented
164#19099076C2212yescomplemented
165#19099076C2212yescomplemented
166#19099075C2212yescomplemented
167#19099075C2214yescomplemented
168#19099073C2214yescomplemented
169C2×#14579143C2212yescomplemented
170C2×#14579141C2211yescharacteristic, complemented
171C2×#14579141C2214yescomplemented
172C2×#14579135C2214yescomplemented
173C2×#14579132C2211yescharacteristic
174#121×D79C2214yescomplemented
175#121×D79C2212yescomplemented
176#121×D79C2212yescomplemented
177#19099046C2214yescomplemented
178#19099043C2212yescomplemented
179#19099037C2214yescomplemented
180#19099035C2218yescomplemented
181C4×#11929625C2212yescomplemented
182C4×#11929625C2212yescomplemented
183#19099031C2212yescomplemented
184C2×C4×Dic158C2211yescharacteristic, complemented
185C2×C4×C22⋊D79C2212yescomplemented
186C4×D4×D79C2212yescomplemented
187C4×D4×D79C2212yescomplemented
188C2×#14579120C2212yescomplemented
189C2×C42×D79C2211yescharacteristic, complemented
190#559×C79C2214yescomplemented
191#556×C79C2212yescomplemented
192#555×C79C2212yescomplemented
193#553×C79C2214yescomplemented
194#550×C79C2212yescomplemented
195#547×C79C2212yescomplemented
196#538×C79C2214yescomplemented
197#535×C79C2212yescomplemented
198#533×C79C2211yescharacteristic, complemented
199#532×C79C2211yescharacteristic, complemented
200#525×C79C2214yescomplemented
201#520×C79C2212yescomplemented
202C2×C4×D4×C79C2211yescharacteristic, complemented
203#14579208—48no—
204#14579206—48no—
205C2×#11929625C2312yes—
206C2×#11929625C2312yes—
207C2×#11929625C2312yes—
208C2×#11929624C2312yes—
209C2×#11929624C2312yes—
210C2×#11929624C2314yes—
211C2×#11929624C2314yes—
212C2×#11929623C2314yes—
213C2×#11929623C2314yes—
214C2×#11929623C2318yes—
215C2×#11929623C2314yes—
216C2×#11929623C2314yes—
217C2×#11929623C2312yes—
218#41×D79—48no—
219C22×Dic158C2311yescharacteristic
220C22×Dic158C2314yes—
221C2×Q8×D79C2314yes—
222C2×Q8×D79C2312yes—
223C22×D316C2314yes—
224C22×C22⋊D79C2318yes—
225C22×C22⋊D79C2312yes—
226C2×D4×D79C2314yes—
227C2×D4×D79C2314yes—
228C2×D4×D79C2314yes—
229C2×D4×D79C2318yes—
230C2×D4×D79C2312yes—
231C2×D4×D79C2312yes—
232C2×D4×D79C2312yes—
233C22×C4×D79C2311yescharacteristic
234C22×C4×D79C2311yescharacteristic
235C22×C4×D79C2311yescharacteristic
236C22×C4×D79C2314yes—
237#14579161C2318yes—
238#14579161C2314yes—
239#14579161C2311yescharacteristic
240#14579161C2311yescharacteristic
241#14579160C2312yes—
242#14579160C2314yes—
243#14579160C2312yes—
244#14579159C2312yes—
245#14579158C2311yescharacteristic
246#14579158C2311yescharacteristic
247#14579157C2312yes—
248#14579157C2318yes—
249#14579157C2312yes—
250#14579157C2314yes—
251#14579157C2312yes—
252#14579156C2318yes—
253#14579156C2318yes—
254#14579156C2318yes—
255#14579156C2318yes—
256#14579156C2314yes—
257#14579156C2314yes—
258#14579155C2318yes—
259#14579154C2314yes—
260#14579154C2314yes—
261#14579154C2318yes—
262#14579154C2314yes—
263#14579154C2314yes—
264#14579153C2318yes—
265#14579152C2318yes—
266#14579152C2312yes—
267#14579152C2312yes—
268#14579152C2312yes—
269#14579152C2314yes—
270#14579152C2312yes—
271#14579152C2312yes—
272#14579152C2312yes—
273#14579151C2318yes—
274#14579150C2312yes—
275#14579150C2312yes—
276#14579150C2314yes—
277#14579150C2312yes—
278#14579149C2318yes—
279#14579149C2314yes—
280#14579149C2312yes—
281#14579149C2312yes—
282#14579148C2312yes—
283#14579148C2312yes—
284#14579148C2312yes—
285#14579148C2312yes—
286#14579148C2312yes—
287#14579147C2318yes—
288#14579147C2314yes—
289#14579147C2318yes—
290#14579147C2318yes—
291#14579147C2318yes—
292#14579147C2314yes—
293#14579146C2314yes—
294#14579146C2318yes—
295#14579146C2318yes—
296#14579146C2314yes—
297#14579145C2318yes—
298#14579145C2318yes—
299#14579145C2318yes—
300#14579145C2318yes—
301#14579145C2318yes—
302#14579145C2318yes—
303#14579145C2314yes—
304#14579144C2318yes—
305#14579143C2318yes—
306#14579143C2314yes—
307#14579143C2314yes—
308#14579143C2318yes—
309#14579143C2318yes—
310#14579143C2318yes—
311#14579143C2318yes—
312#14579143C2314yes—
313#14579143C2314yes—
314#14579141C2312yes—
315#14579141C2312yes—
316#14579141C2314yes—
317#14579141C2314yes—
318#14579141C2314yes—
319#14579141C2318yes—
320#14579141C2314yes—
321#14579141C2318yes—
322#14579141C2318yes—
323#14579141C2312yes—
324#14579141C2312yes—
325#14579141C2312yes—
326#14579141C2312yes—
327#14579140C2314yes—
328#14579139C2318yes—
329#14579138C2318yes—
330#14579138C2318yes—
331#14579138C2318yes—
332#14579138C2318yes—
333#14579137C2314yes—
334#14579137C2318yes—
335#14579137C2312yes—
336#14579137C2312yes—
337#14579136C2314yes—
338#14579136C2312yes—
339#14579136C2318yes—
340#14579136C2314yes—
341#14579136C2312yes—
342#14579136C2312yes—
343#14579136C2312yes—
344#14579136C2312yes—
345#14579136C2312yes—
346#14579135C2312yes—
347#14579135C2314yes—
348#14579135C2318yes—
349#14579135C2318yes—
350#14579135C2318yes—
351#14579135C2318yes—
352#14579135C2312yes—
353#14579135C2318yes—
354#14579135C2314yes—
355#14579135C2314yes—
356#14579135C2312yes—
357#14579135C2312yes—
358#14579134C2318yes—
359#14579134C2318yes—
360#14579134C2314yes—
361#14579134C2318yes—
362#14579134C2318yes—
363#14579134C2314yes—
364#14579133C2318yes—
365#14579133C2318yes—
366#14579133C2318yes—
367#14579133C2318yes—
368#14579133C2318yes—
369#14579133C2318yes—
370#14579133C2314yes—
371#14579133C2314yes—
372#14579132C2314yes—
373#14579132C2312yes—
374#14579132C2318yes—
375#14579132C2318yes—
376#14579132C2312yes—
377#14579132C2318yes—
378#14579132C2312yes—
379#14579132C2312yes—
380#14579132C2312yes—
381#14579132C2312yes—
382#14579131C2318yes—
383#14579131C2318yes—
384#14579131C2318yes—
385#14579131C2318yes—
386#14579131C2314yes—
387#14579129C2318yes—
388#14579129C2318yes—
389#14579129C2318yes—
390#14579129C2318yes—
391Q8×Dic79C2312yes—
392Q8×Dic79C2312yes—
393Q8×Dic79C2314yes—
394C4×Dic158C2314yes—
395C4×Dic158C2312yes—
396C4×Dic158C2312yes—
397C4×Dic158C2312yes—
398C4×Dic158C2312yes—
399#14579126C2312yes—
400#14579126C2312yes—
401C4×D316C2318yes—
402C4×D316C2318yes—
403C4×D316C2318yes—
404C4×D316C2314yes—
405C4×D316C2314yes—
406C4×D316C2312yes—
407C4×D316C2312yes—
408C4×D316C2314yes—
409C4×D316C2312yes—
410C4×D316C2312yes—
411D4×Dic79C2318yes—
412D4×Dic79C2312yes—
413D4×Dic79C2318yes—
414D4×Dic79C2314yes—
415D4×Dic79C2318yes—
416D4×Dic79C2312yes—
417#14579123C2312yes—
418#14579123C2314yes—
419#14579123C2314yes—
420#14579123C2312yes—
421#14579123C2314yes—
422#14579123C2312yes—
423#14579123C2314yes—
424#14579123C2312yes—
425#14579123C2312yes—
426#14579123C2312yes—
427C4×C22⋊D79C2314yes—
428C4×C22⋊D79C2314yes—
429C4×C22⋊D79C2318yes—
430C4×C22⋊D79C2314yes—
431C4×C22⋊D79C2314yes—
432C4×C22⋊D79C2314yes—
433C4×C22⋊D79C2314yes—
434(C22⋊D79)⋊C4C2314yes—
435(C22⋊D79)⋊C4C2318yes—
436(C22⋊D79)⋊C4C2318yes—
437(C22⋊D79)⋊C4C2318yes—
438(C22⋊D79)⋊C4C2314yes—
439(C22⋊D79)⋊C4C2314yes—
440(C22⋊D79)⋊C4C2314yes—
441#14579120C2314yes—
442#14579120C2314yes—
443#14579120C2318yes—
444#14579120C2314yes—
445#14579120C2314yes—
446#14579119C2318yes—
447#14579119C2312yes—
448#14579119C2314yes—
449#14579119C2314yes—
450#14579119C2314yes—
451#14579119C2312yes—
452#14579118C2314yes—
453#14579118C2318yes—
454C2×C4⋊Dic79C2311yescharacteristic
455C2×C4⋊Dic79C2318yes—
456C2×C4⋊Dic79C2314yes—
457C2×C4⋊Dic79C2312yes—
458C2×C4⋊Dic79C2312yes—
459C2×Dic79⋊C4C2312yes—
460C2×Dic79⋊C4C2312yes—
461C4⋊C4×D79C2314yes—
462C4⋊C4×D79C2312yes—
463C4⋊C4×D79C2312yes—
464C2×C22⋊Dic79C2312yes—
465C2×C22⋊Dic79C2312yes—
466C2×C22⋊Dic79C2312yes—
467C2×(C2×D79)⋊C4C2318yes—
468C2×(C2×D79)⋊C4C2318yes—
469C2×(C2×D79)⋊C4C2312yes—
470C22⋊C4×D79C2318yes—
471C22⋊C4×D79C2314yes—
472C22⋊C4×D79C2318yes—
473C22⋊C4×D79C2318yes—
474C22⋊C4×D79C2314yes—
475C2×C4×Dic79C2311yescharacteristic
476C2×C4×Dic79C2311yescharacteristic
477C2×C4×Dic79C2311yescharacteristic
478C2×C4×Dic79C2312yes—
479C42×D79C2311yescharacteristic
480C42×D79C2311yescharacteristic
481C42×D79C2311yescharacteristic
482C42×D79C2311yescharacteristic
483C42×D79C2311yescharacteristic
484C42×D79C2311yescharacteristic
485C42×D79C2311yescharacteristic
486C42×D79C2311yescharacteristic
487C42×D79C2314yes—
488C2×#41×C79C2312yes—
489C2×#41×C79C2314yes—
490C22×D4×C79C2311yescharacteristic
491C23×C4×C79C2312yes—
492C4⋊Q8×C79C2311yescharacteristic
493C4⋊Q8×C79C2311yescharacteristic
494C4⋊Q8×C79C2311yescharacteristic
495#127×C79C2314yes—
496#127×C79C2311yescharacteristic
497#126×C79C2318yes—
498#125×C79C2312yes—
499#124×C79C2318yes—
500#124×C79C2314yes—
501#124×C79C2312yes—
502#123×C79C2318yes—
503#123×C79C2318yes—
504C22⋊Q8×C79C2312yes—
505C22⋊Q8×C79C2314yes—
506C22⋊Q8×C79C2312yes—
507#121×C79C2312yes—
508#121×C79C2314yes—
509#121×C79C2314yes—
510#121×C79C2318yes—
511#121×C79C2314yes—
512#121×C79C2312yes—
513#120×C79C2318yes—
514C4×Q8×C79C2314yes—
515C4×Q8×C79C2312yes—
516C4×Q8×C79C2312yes—
517C4×D4×C79C2318yes—
518C4×D4×C79C2314yes—
519C4×D4×C79C2312yes—
520C4×D4×C79C2312yes—
521C4×D4×C79C2312yes—
522C4×D4×C79C2312yes—
523C4×D4×C79C2318yes—
524C4×D4×C79C2312yes—
525C4×D4×C79C2312yes—
526#117×C79C2312yes—
527#117×C79C2314yes—
528#117×C79C2314yes—
529C2×C4⋊C4×C79C2311yescharacteristic
530C2×C4⋊C4×C79C2314yes—
531C2×C22⋊C4×C79C2312yes—
532C2×C42×C79C2311yescharacteristic
533C23×D79C2411yescharacteristic
534C23×D79C2414yes—
535C23×D79C2418yes—
536#11929625—44no—
537#11929625—44no—
538#11929625—44no—
539#11929624—28no—
540#11929624—28no—
541#11929624—48no—
542#11929624—48no—
543#11929623—48no—
544#11929623—416no—
545#11929623—44no—
546#11929623—48no—
547#11929623—48no—
548#11929623—48no—
549C2×Dic158—24no—
550C2×Dic158—48no—
551C2×Dic158C2412yes—
552C2×Dic158C2412yes—
553C2×Dic158C2412yes—
554C2×Dic158C2412yes—
555C2×Dic158C2418yes—
556C2×Dic158C2414yes—
557Q8×D79—44no—
558Q8×D79—48no—
559C2×D316—48no—
560C2×D316C2412yes—
561C2×D316C2412yes—
562C2×D316C2412yes—
563C2×D316C2414yes—
564C2×D316C2412yes—
565C2×D316C2414yes—
566C2×D316C2412yes—
567C2×D316C2414yes—
568C2×D316C2412yes—
569C2×D316C2418yes—
570C2×C22⋊D79—44no—
571C2×C22⋊D79—416no—
572C2×C22⋊D79C2414yes—
573C2×C22⋊D79C2414yes—
574C2×C22⋊D79C2414yes—
575C2×C22⋊D79C2418yes—
576C2×C22⋊D79C2414yes—
577C2×C22⋊D79C2414yes—
578C2×C22⋊D79C2418yes—
579C2×C22⋊D79C2418yes—
580C2×C22⋊D79C2414yes—
581C2×C22⋊D79C2414yes—
582C2×C22⋊D79C2418yes—
583C2×C22⋊D79C2414yes—
584D4×D79—48no—
585D4×D79—416no—
586D4×D79—44no—
587D4×D79—48no—
588D4×D79—48no—
589D4×D79—44no—
590D4×D79—44no—
591C22×Dic79C2412yes—
592C22×Dic79C2411yescharacteristic
593C22×Dic79C2418yes—
594C22×Dic79C2418yes—
595C22×Dic79C2414yes—
596C22×Dic79C2411yescharacteristic
597C22×Dic79C2411yescharacteristic
598C22×Dic79C2412yes—
599C2×C4×D79—24no—
600C2×C4×D79—48no—
601C2×C4×D79—42no—
602C2×C4×D79—42no—
603C2×C4×D79C2411yescharacteristic
604C2×C4×D79C2414yes—
605C2×C4×D79C2411yescharacteristic
606C2×C4×D79C2414yes—
607C2×C4×D79C2411yescharacteristic
608C2×C4×D79C2411yescharacteristic
609C2×C4×D79C2411yescharacteristic
610C2×C4×D79C2411yescharacteristic
611C2×C4×D79C2411yescharacteristic
612C2×C4×D79C2411yescharacteristic
613C2×C4×D79C2418yes—
614C2×C4×D79C2414yes—
615C2×C4×D79C2414yes—
616C2×C4×D79C2414yes—
617C2×C4×D79C2414yes—
618C2×C4×D79C2411yescharacteristic
619C2×C4×D79C2411yescharacteristic
620C2×C4×D79C2411yescharacteristic
621C2×C4×D79C2411yescharacteristic
622C2×C4×D79C2418yes—
623C4⋊Dic79C2412yes—
624C4⋊Dic79C2412yes—
625C4⋊Dic79C2412yes—
626C4⋊Dic79C2414yes—
627C4⋊Dic79C2412yes—
628C4⋊Dic79C2414yes—
629C4⋊Dic79C2418yes—
630C4⋊Dic79C2414yes—
631C4⋊Dic79C2414yes—
632C4⋊Dic79C2414yes—
633C4⋊Dic79C2418yes—
634C4⋊Dic79C2412yes—
635C4⋊Dic79C2418yes—
636C4⋊Dic79C2414yes—
637C4⋊Dic79C2412yes—
638Dic79⋊C4C2414yes—
639Dic79⋊C4C2414yes—
640Dic79⋊C4C2418yes—
641Dic79⋊C4C2414yes—
642Dic79⋊C4C2414yes—
643Dic79⋊C4C2414yes—
644Dic79⋊C4C2414yes—
645Dic79⋊C4C2418yes—
646Dic79⋊C4C2414yes—
647Dic79⋊C4C2414yes—
648C22⋊Dic79C2414yes—
649C22⋊Dic79C2414yes—
650C22⋊Dic79C2414yes—
651C22⋊Dic79C2414yes—
652C22⋊Dic79C2414yes—
653C22⋊Dic79C2414yes—
654C22⋊Dic79C2414yes—
655C22⋊Dic79C2414yes—
656C22⋊Dic79C2418yes—
657(C2×D79)⋊C4C2414yes—
658(C2×D79)⋊C4C2414yes—
659(C2×D79)⋊C4C2414yes—
660(C2×D79)⋊C4C2414yes—
661(C2×D79)⋊C4C2418yes—
662(C2×D79)⋊C4C2414yes—
663(C2×D79)⋊C4C2418yes—
664(C2×D79)⋊C4C2418yes—
665(C2×D79)⋊C4C2414yes—
666(C2×D79)⋊C4C2418yes—
667(C2×D79)⋊C4C2414yes—
668(C2×D79)⋊C4C2414yes—
669(C2×D79)⋊C4C2414yes—
670(C2×D79)⋊C4C2418yes—
671(C2×D79)⋊C4C2414yes—
672(C2×D79)⋊C4C2414yes—
673(C2×D79)⋊C4C2418yes—
674(C2×D79)⋊C4C2414yes—
675(C2×D79)⋊C4C2414yes—
676(C2×D79)⋊C4C2414yes—
677C4×Dic79C2411yescharacteristic
678C4×Dic79C2411yescharacteristic
679C4×Dic79C2411yescharacteristic
680C4×Dic79C2411yescharacteristic
681C4×Dic79C2411yescharacteristic
682C4×Dic79C2411yescharacteristic
683C4×Dic79C2411yescharacteristic
684C4×Dic79C2411yescharacteristic
685C4×Dic79C2411yescharacteristic
686C4×Dic79C2411yescharacteristic
687C4×Dic79C2411yescharacteristic
688C4×Dic79C2411yescharacteristic
689C4×Dic79C2414yes—
690C4×Dic79C2414yes—
691C4×Dic79C2414yes—
692C4×Dic79C2414yes—
693C4×Dic79C2418yes—
694C24×C79C2412yes—
695#41×C79—28no—
696#41×C79—48no—
697C2×Q8×C79C2412yes—
698C2×Q8×C79C2412yes—
699C2×Q8×C79C2412yes—
700C2×D4×C79—24no—
701C2×D4×C79C2414yes—
702C2×D4×C79C2412yes—
703C2×D4×C79C2412yes—
704C2×D4×C79C2412yes—
705C2×D4×C79C2412yes—
706C2×D4×C79C2418yes—
707C2×D4×C79C2412yes—
708C2×D4×C79C2418yes—
709C22×C4×C79—44no—
710C22×C4×C79C2414yes—
711C22×C4×C79C2411yescharacteristic
712C22×C4×C79C2414yes—
713C22×C4×C79C2411yescharacteristic
714C22×C4×C79C2412yes—
715C22×C4×C79C2418yes—
716C22×C4×C79C2414yes—
717C22×C4×C79C2411yescharacteristic
718C4⋊C4×C79C2412yes—
719C4⋊C4×C79C2412yes—
720C4⋊C4×C79C2412yes—
721C4⋊C4×C79C2418yes—
722C4⋊C4×C79C2412yes—
723C4⋊C4×C79C2412yes—
724C4⋊C4×C79C2412yes—
725C4⋊C4×C79C2414yes—
726C4⋊C4×C79C2412yes—
727C4⋊C4×C79C2414yes—
728C4⋊C4×C79C2412yes—
729C22⋊C4×C79C2414yes—
730C22⋊C4×C79C2414yes—
731C22⋊C4×C79C2414yes—
732C22⋊C4×C79C2418yes—
733C22⋊C4×C79C2418yes—
734C22⋊C4×C79C2414yes—
735C22⋊C4×C79C2418yes—
736C22⋊C4×C79C2414yes—
737C42×C79C2411yescharacteristic
738C42×C79C2411yescharacteristic
739C42×C79C2411yescharacteristic
740C42×C79C2411yescharacteristic
741C42×C79C2418yes—
742C42×C79C2414yes—
743C23×C79—24no—
744C23×C79—42no—
745C23×C79—42no—
746C23×C79C2514yes—
747C23×C79C2514yes—
748C23×C79C2511yescharacteristic
749C22×D79—22no—
750C22×D79—22no—
751C22×D79—28no—
752C22×D79—41no—
753C22×D79—44no—
754C22×D79—44no—
755C22×D79—48no—
756C22×D79—48no—
757C22×D79—48no—
758C22×D79C2514yes—
759C22×D79C2514yes—
760C22×D79C2511yescharacteristic
761C22×D79C2511yescharacteristic
762Q8×C79—24no—
763Q8×C79—24no—
764Q8×C79—42no—
765D4×C79—28no—
766D4×C79—24no—
767D4×C79—24no—
768D4×C79—24no—
769D4×C79—24no—
770D4×C79—42no—
771D4×C79—48no—
772D4×C79—48no—
773C2×C4×C79—28no—
774C2×C4×C79—22no—
775C2×C4×C79—28no—
776C2×C4×C79—41no—
777C2×C4×C79—44no—
778C2×C4×C79—42no—
779C2×C4×C79—48no—
780C2×C4×C79H(5,𝔽2)14yes—
781C2×C4×C79C2511yescharacteristic
782C2×C4×C79C2514yes—
783C2×C4×C79C2511yescharacteristic
784C2×C4×C79C2511yescharacteristic
785C2×C4×C79C2514yes—
786C2×C4×C79C2514yes—
787C2×C4×C79C2514yes—
788C2×C4×C79C2511yescharacteristic
789C2×C4×C79C2511yescharacteristic
790C2×C4×C79C2511yescharacteristic
791C22⋊D79—28no—
792C22⋊D79—28no—
793C22⋊D79—28no—
794C22⋊D79—48no—
795C22⋊D79—48no—
796C22⋊D79—48no—
797C22⋊D79—44no—
798C22⋊D79—44no—
799C22⋊D79—44no—
800C22⋊D79—44no—
801C22⋊D79—44no—
802C22⋊D79—48no—
803C2×Dic79—22no—
804C2×Dic79—24no—
805C2×Dic79—41no—
806C2×Dic79—41no—
807C2×Dic79—44no—
808C2×Dic79—42no—
809C2×Dic79—48no—
810C2×Dic79—48no—
811C2×Dic79C2511yescharacteristic
812C2×Dic79C2511yescharacteristic
813C2×Dic79C2511yescharacteristic
814C2×Dic79C2514yes—
815C2×Dic79C2511yescharacteristic
816C2×Dic79C2511yescharacteristic
817C2×Dic79C2511yescharacteristic
818C2×Dic79C2514yes—
819C2×Dic79C2514yes—
820C2×Dic79C2514yes—
821D316—28no—
822D316—24no—
823D316—24no—
824D316—24no—
825D316—24no—
826D316—42no—
827D316—44no—
828D316—48no—
829D316—44no—
830D316—42no—
831C4×D79—22no—
832C4×D79—22no—
833C4×D79—22no—
834C4×D79—22no—
835C4×D79—22no—
836C4×D79—22no—
837C4×D79—28no—
838C4×D79—28no—
839C4×D79—22no—
840C4×D79—22no—
841C4×D79—41no—
842C4×D79—41no—
843C4×D79—41no—
844C4×D79—41no—
845C4×D79—44no—
846C4×D79—44no—
847C4×D79—48no—
848C4×D79—48no—
849C4×D79—44no—
850C4×D79—44no—
851Dic158—24no—
852Dic158—24no—
853Dic158—24no—
854Dic158—24no—
855Dic158—48no—
856Dic158—44no—
857C22×C79—21no—
858C22×C79—21no—
859C22×C79—24no—
860C22×C79—24no—
861C22×C79—24no—
862C22×C79—24no—
863C22×C79—24no—
864C22×C79—24no—
865C22×C79—84no—
866C22×C79C2×H(5,𝔽2)12yes—
867C22×C79C2611yescharacteristic
868C2×D79—21no—
869C2×D79—21no—
870C2×D79—24no—
871C2×D79—24no—
872C2×D79—21no—
873C2×D79—21no—
874C2×D79—24no—
875C2×D79—24no—
876C2×D79—24no—
877C2×D79—24no—
878C2×D79—21no—
879C2×D79—44no—
880C2×D79—88no—
881C2×D79—168no—
882C2×D79#58512yes—
883C4×C79—24no—
884C4×C79—21no—
885C4×C79—24no—
886C4×C79—24no—
887C4×C79—21no—
888C4×C79—21no—
889C4×C79—24no—
890C4×C79C2×H(5,𝔽2)12yes—
891C4×C79C2×H(5,𝔽2)12yes—
892C4×C79#58512yes—
893Dic79—24no—
894Dic79—24no—
895Dic79—21no—
896Dic79—24no—
897Dic79—21no—
898Dic79—24no—
899Dic79—21no—
900Dic79—21no—
901Dic79—21no—
902Dic79—21no—
903#62830—791nomaximal, Sylow
904C2×C79—22no—
905C2×C79—44no—
906C2×C79—44no—
907C2×C79C22×H(5,𝔽2)11yescharacteristic
908C2×C79C2×#58511yescharacteristic
909C2×C79C2×#58511yescharacteristic
910D79—22no—
911D79—41no—
912D79—44no—
913D79—44no—
914#3562—794no—
915#3560—794no—
916#3552—792no—
917#3551—794no—
918#3547—792no—
919#3546—792no—
920#3543—792no—
921#3534—794no—
922#3520—792no—
923#3519—792no—
924#3519—794no—
925#3517—792no—
926#3514—794no—
927#3514—792no—
928#3512—792no—
929#3507—791no—
930#3506D7911yescharacteristic, complemented
931#3505—794no—
932#3500—792no—
933#3497—791no—
934#3496—791no—
935#3494—794no—
936#3489—792no—
937#3488—792no—
938#3444—791no—
939C2×#532—791no—
940C2×#529—791no—
941C79#6283011yescharacteristic, complemented, Sylow
942C2×2−1+4—792no—
943C2×H(5,𝔽2)—792no—
944C22×#41—792no—
945#563—798no—
946#562—798no—
947#560—798no—
948#560—798no—
949#559—792no—
950#559C2×D7914yescomplemented
951#557—792no—
952#556—792no—
953#556—794no—
954#556C2×D7912yescomplemented
955#555—798no—
956#555—794no—
957#555C2×D7912yescomplemented
958#554—792no—
959#554—794no—
960#553—798no—
961#553—794no—
962#553—798no—
963#553—798no—
964#553—798no—
965#553—794no—
966#553—794no—
967#553—794no—
968#553C2×D7914yescomplemented
969#552—794no—
970#552—794no—
971#552—794no—
972#551—798no—
973#551—798no—
974#551—798no—
975#551—798no—
976#550—794no—
977#550—794no—
978#550—792no—
979#550—792no—
980#550C2×D7912yescomplemented
981D4×Q8—792no—
982D4×Q8—794no—
983D4×Q8—792no—
984#548—794no—
985#548—794no—
986#548—794no—
987#548—794no—
988#548—794no—
989#548—794no—
990#547—798no—
991#547—794no—
992#547—792no—
993#547—792no—
994#547C2×D7912yescomplemented
995#546—794no—
996#546—794no—
997#546—798no—
998#546—794no—
999#546—794no—
1000#546—794no—
1001#546—798no—
1002#546—798no—
1003#546—798no—
1004#546—794no—
1005#546—798no—
1006#546—794no—
1007#546—794no—
1008D42—794no—
1009D42—794no—
1010D42—798no—
1011D42—792no—
1012D42—792no—
1013#544—794no—
1014#542—798no—
1015#542—794no—
1016#542—794no—
1017#541—794no—
1018#540—798no—
1019#540—794no—
1020#540—794no—
1021#540—798no—
1022#540—794no—
1023#539—798no—
1024#539—798no—
1025#539—794no—
1026#538—798no—
1027#538—798no—
1028#538—798no—
1029#538—798no—
1030#538—798no—
1031#538C2×D7914yescomplemented
1032#537—792no—
1033#537—794no—
1034#537—794no—
1035#537—792no—
1036#537—794no—
1037#536—794no—
1038#536—792no—
1039#536—794no—
1040#535—794no—
1041#535—794no—
1042#535—794no—
1043#535C2×D7912yescomplemented
1044#534—798no—
1045#534—794no—
1046#533—791no—
1047#533—791no—
1048#533C2×D7911yescharacteristic, complemented
1049#532—792no—
1050#532—791no—
1051#532—791no—
1052#532—791no—
1053#532—791no—
1054#532—794no—
1055#532—792no—
1056#532—792no—
1057#532—792no—
1058#532—794no—
1059#532—792no—
1060#532—792no—
1061#532—791no—
1062#532—791no—
1063#532C2×D7911yescharacteristic, complemented
1064C2×C4⋊Q8—791no—
1065C2×#127—791no—
1066#529—792no—
1067#529—792no—
1068#529—792no—
1069#529—792no—
1070#529—794no—
1071#529—792no—
1072#529—792no—
1073#529—794no—
1074#529—792no—
1075#529—792no—
1076#529—792no—
1077#529—792no—
1078#529—792no—
1079#529—792no—
1080#529—792no—
1081#529—792no—
1082#529—794no—
1083C2×#126—792no—
1084C2×#125—791no—
1085C2×#124—791no—
1086C2×#124—792no—
1087C2×#124—794no—
1088#525—792no—
1089#525—792no—
1090#525—794no—
1091#525—792no—
1092#525—794no—
1093#525C2×D7914yescomplemented
1094C2×#123—792no—
1095C2×C22⋊Q8—791no—
1096C2×C22⋊Q8—794no—
1097C2×#121—791no—
1098C2×#121—794no—
1099C2×#121—792no—
1100C2×#121—792no—
1101C2×#121—794no—
1102#520—794no—
1103#520—792no—
1104#520C2×D7912yescomplemented
1105#518—798no—
1106#518—794no—
1107C4×#41—792no—
1108C4×#41—792no—
1109C4×#41—792no—
1110C2×C4×Q8—791no—
1111C2×C4×D4—792no—
1112C2×C4×D4—792no—
1113C2×C4×D4—792no—
1114C2×C4×D4C2×D7911yescharacteristic, complemented
1115C2×#117—792no—
1116C22×C42—791no—
11172−1+4—3168no—
1118H(5,𝔽2)—3168no—
1119C2×#41—3168no—
1120C2×#41—792no—
1121C2×#41—792no—
1122C2×#41—792no—
1123C2×#41—794no—
1124C2×#41—794no—
1125C2×#41—792no—
1126C2×#41—794no—
1127C2×#41—794no—
1128C2×#41—798no—
1129C2×#41—794no—
1130C2×#41—794no—
1131C2×#41—792no—
1132C2×#41—792no—
1133C2×#41C22×D7912yes—
1134C2×#41C22×D7914yes—
1135C22×Q8—792no—
1136C22×Q8—794no—
1137C22×Q8—794no—
1138C22×Q8—791no—
1139C22×D4—792no—
1140C22×D4—798no—
1141C22×D4—792no—
1142C22×D4—792no—
1143C22×D4—798no—
1144C22×D4—794no—
1145C22×D4—794no—
1146C22×D4—792no—
1147C22×D4—794no—
1148C22×D4—794no—
1149C22×D4C22×D7911yescharacteristic
1150C23×C4—791no—
1151C23×C4—794no—
1152C23×C4—791no—
1153C23×C4—791no—
1154C23×C4C22×D7912yes—
1155C4⋊Q8—792no—
1156C4⋊Q8—792no—
1157C4⋊Q8—792no—
1158C4⋊Q8—794no—
1159C4⋊Q8—791no—
1160C4⋊Q8—791no—
1161C4⋊Q8—794no—
1162C4⋊Q8—798no—
1163C4⋊Q8C22×D7911yescharacteristic
1164C4⋊Q8C22×D7911yescharacteristic
1165C4⋊Q8C22×D7911yescharacteristic
1166#127—792no—
1167#127—792no—
1168#127—792no—
1169#127—794no—
1170#127—798no—
1171#127—791no—
1172#127—791no—
1173#127C22×D7911yescharacteristic
1174#127C22×D7914yes—
1175#126—794no—
1176#126—794no—
1177#126—798no—
1178#126—798no—
1179#126—798no—
1180#126—798no—
1181#126—794no—
1182#126—794no—
1183#126—794no—
1184#126—794no—
1185#126—798no—
1186#126—798no—
1187#126C22×D7918yes—
1188#125—792no—
1189#125—792no—
1190#125—792no—
1191#125—792no—
1192#125—792no—
1193#125—792no—
1194#125—794no—
1195#125—798no—
1196#125—798no—
1197#125—798no—
1198#125C22×D7912yes—
1199#124—792no—
1200#124—792no—
1201#124—792no—
1202#124—794no—
1203#124—792no—
1204#124—792no—
1205#124—792no—
1206#124—792no—
1207#124—792no—
1208#124—794no—
1209#124—794no—
1210#124—798no—
1211#124—798no—
1212#124—798no—
1213#124—798no—
1214#124—792no—
1215#124—794no—
1216#124—792no—
1217#124—798no—
1218#124C22×D7912yes—
1219#124C22×D7914yes—
1220#124C22×D7918yes—
1221#123—798no—
1222#123—794no—
1223#123—794no—
1224#123—798no—
1225#123—798no—
1226#123—794no—
1227#123—794no—
1228#123—794no—
1229#123—794no—
1230#123—794no—
1231#123—798no—
1232#123—798no—
1233#123—798no—
1234#123—798no—
1235#123—798no—
1236#123—798no—
1237#123—798no—
1238#123—798no—
1239#123—798no—
1240#123—798no—
1241#123—798no—
1242#123C22×D7918yes—
1243#123C22×D7918yes—
1244C22⋊Q8—792no—
1245C22⋊Q8—792no—
1246C22⋊Q8—794no—
1247C22⋊Q8—798no—
1248C22⋊Q8—794no—
1249C22⋊Q8—792no—
1250C22⋊Q8—792no—
1251C22⋊Q8—792no—
1252C22⋊Q8—792no—
1253C22⋊Q8—792no—
1254C22⋊Q8—794no—
1255C22⋊Q8—794no—
1256C22⋊Q8—798no—
1257C22⋊Q8—798no—
1258C22⋊Q8—792no—
1259C22⋊Q8—794no—
1260C22⋊Q8—794no—
1261C22⋊Q8—798no—
1262C22⋊Q8—798no—
1263C22⋊Q8—798no—
1264C22⋊Q8—798no—
1265C22⋊Q8—798no—
1266C22⋊Q8—798no—
1267C22⋊Q8C22×D7912yes—
1268C22⋊Q8C22×D7912yes—
1269C22⋊Q8C22×D7914yes—
1270#121—792no—
1271#121—792no—
1272#121—792no—
1273#121—792no—
1274#121—792no—
1275#121—794no—
1276#121—794no—
1277#121—792no—
1278#121—798no—
1279#121—794no—
1280#121—798no—
1281#121—798no—
1282#121—798no—
1283#121—798no—
1284#121—798no—
1285#121—798no—
1286#121—798no—
1287#121—798no—
1288#121—792no—
1289#121—792no—
1290#121—792no—
1291#121—798no—
1292#121—794no—
1293#121—798no—
1294#121—794no—
1295#121—794no—
1296#121—792no—
1297#121—798no—
1298#121—798no—
1299#121—798no—
1300#121—792no—
1301#121—792no—
1302#121—792no—
1303#121—792no—
1304#121—792no—
1305#121—792no—
1306#121—794no—
1307#121—794no—
1308#121—798no—
1309#121—794no—
1310#121—794no—
1311#121—798no—
1312#121—798no—
1313#121—798no—
1314#121—798no—
1315#121C22×D7912yes—
1316#121C22×D7912yes—
1317#121C22×D7914yes—
1318#121C22×D7914yes—
1319#121C22×D7914yes—
1320#121C22×D7918yes—
1321#120—798no—
1322#120—798no—
1323#120—798no—
1324#120—798no—
1325#120—794no—
1326#120—798no—
1327#120—798no—
1328#120—798no—
1329#120—798no—
1330#120C22×D7918yes—
1331C4×Q8—792no—
1332C4×Q8—792no—
1333C4×Q8—794no—
1334C4×Q8—792no—
1335C4×Q8—792no—
1336C4×Q8—792no—
1337C4×Q8—792no—
1338C4×Q8—792no—
1339C4×Q8—792no—
1340C4×Q8—794no—
1341C4×Q8C22×D7912yes—
1342C4×Q8C22×D7912yes—
1343C4×Q8C22×D7914yes—
1344C4×D4—792no—
1345C4×D4—792no—
1346C4×D4—798no—
1347C4×D4—798no—
1348C4×D4—798no—
1349C4×D4—794no—
1350C4×D4—794no—
1351C4×D4—794no—
1352C4×D4—794no—
1353C4×D4—794no—
1354C4×D4—794no—
1355C4×D4—794no—
1356C4×D4—798no—
1357C4×D4—792no—
1358C4×D4—792no—
1359C4×D4—794no—
1360C4×D4—792no—
1361C4×D4—794no—
1362C4×D4—792no—
1363C4×D4—792no—
1364C4×D4—792no—
1365C4×D4—794no—
1366C4×D4—794no—
1367C4×D4—794no—
1368C4×D4—794no—
1369C4×D4—794no—
1370C4×D4—794no—
1371C4×D4—798no—
1372C4×D4—798no—
1373C4×D4—798no—
1374C4×D4—792no—
1375C4×D4—792no—
1376C4×D4—794no—
1377C4×D4—794no—
1378C4×D4—792no—
1379C4×D4—792no—
1380C4×D4—798no—
1381C4×D4—798no—
1382C4×D4—798no—
1383C4×D4—794no—
1384C4×D4C22×D7912yes—
1385C4×D4C22×D7912yes—
1386C4×D4C22×D7912yes—
1387C4×D4C22×D7912yes—
1388C4×D4C22×D7912yes—
1389C4×D4C22×D7912yes—
1390C4×D4C22×D7918yes—
1391C4×D4C22×D7918yes—
1392C4×D4C22×D7914yes—
1393#117—794no—
1394#117—794no—
1395#117—794no—
1396#117—794no—
1397#117—798no—
1398#117—792no—
1399#117—792no—
1400#117—794no—
1401#117—794no—
1402#117—798no—
1403#117—794no—
1404#117—794no—
1405#117—798no—
1406#117C22×D7912yes—
1407#117C22×D7914yes—
1408#117C22×D7914yes—
1409C2×C4⋊C4—792no—
1410C2×C4⋊C4—792no—
1411C2×C4⋊C4—792no—
1412C2×C4⋊C4—791no—
1413C2×C4⋊C4—792no—
1414C2×C4⋊C4—794no—
1415C2×C4⋊C4—798no—
1416C2×C4⋊C4—792no—
1417C2×C4⋊C4—792no—
1418C2×C4⋊C4—794no—
1419C2×C4⋊C4C22×D7911yescharacteristic
1420C2×C4⋊C4C22×D7914yes—
1421C2×C22⋊C4—792no—
1422C2×C22⋊C4—792no—
1423C2×C22⋊C4—792no—
1424C2×C22⋊C4—792no—
1425C2×C22⋊C4—798no—
1426C2×C22⋊C4—798no—
1427C2×C22⋊C4—794no—
1428C2×C22⋊C4—794no—
1429C2×C22⋊C4—798no—
1430C2×C22⋊C4—798no—
1431C2×C22⋊C4—798no—
1432C2×C22⋊C4C22×D7912yes—
1433C2×C42—791no—
1434C2×C42—792no—
1435C2×C42—791no—
1436C2×C42—791no—
1437C2×C42—791no—
1438C2×C42—791no—
1439C2×C42—794no—
1440C2×C42—791no—
1441C2×C42—791no—
1442C2×C42—791no—
1443C2×C42—791no—
1444C2×C42—791no—
1445C2×C42—791no—
1446C2×C42C22×D7911yescharacteristic
1447C24—798no—
1448C24—794no—
1449C24—791no—
1450C24C23×D7912yes—
1451#41—28no—
1452#41—48no—
1453#41—3168no—
1454#41—3168no—
1455#41—3164no—
1456#41—3168no—
1457#41—3168no—
1458#41—3168no—
1459#41—3168no—
1460#41—31616no—
1461#41—3164no—
1462#41—3164no—
1463#41—3164no—
1464#41—1588no—
1465#41—1588no—
1466C2×Q8—3168no—
1467C2×Q8—3164no—
1468C2×Q8—3168no—
1469C2×Q8—798no—
1470C2×Q8—794no—
1471C2×Q8—792no—
1472C2×Q8—792no—
1473C2×Q8—792no—
1474C2×Q8—792no—
1475C2×Q8—1584no—
1476C2×Q8C23×D7912yes—
1477C2×Q8C23×D7912yes—
1478C2×Q8C23×D7912yes—
1479C2×D4—24no—
1480C2×D4—3168no—
1481C2×D4—3168no—
1482C2×D4—31616no—
1483C2×D4—31616no—
1484C2×D4—3164no—
1485C2×D4—3164no—
1486C2×D4—3164no—
1487C2×D4—3168no—
1488C2×D4—3168no—
1489C2×D4—3164no—
1490C2×D4—794no—
1491C2×D4—794no—
1492C2×D4—794no—
1493C2×D4—798no—
1494C2×D4—798no—
1495C2×D4—798no—
1496C2×D4—794no—
1497C2×D4—798no—
1498C2×D4—794no—
1499C2×D4—794no—
1500C2×D4—794no—
1501C2×D4—794no—
1502C2×D4—792no—
1503C2×D4—792no—
1504C2×D4—798no—
1505C2×D4—794no—
1506C2×D4—794no—
1507C2×D4—794no—
1508C2×D4—792no—
1509C2×D4—792no—
1510C2×D4—792no—
1511C2×D4—792no—
1512C2×D4C23×D7912yes—
1513C2×D4C23×D7914yes—
1514C2×D4C23×D7912yes—
1515C2×D4C23×D7912yes—
1516C2×D4C23×D7912yes—
1517C2×D4C23×D7918yes—
1518C2×D4C23×D7918yes—
1519C2×D4C23×D7912yes—
1520C22×C4—44no—
1521C22×C4—3162no—
1522C22×C4—3168no—
1523C22×C4—3162no—
1524C22×C4—791no—
1525C22×C4—791no—
1526C22×C4—792no—
1527C22×C4—798no—
1528C22×C4—798no—
1529C22×C4—794no—
1530C22×C4—791no—
1531C22×C4—791no—
1532C22×C4—791no—
1533C22×C4—791no—
1534C22×C4—794no—
1535C22×C4—794no—
1536C22×C4—794no—
1537C22×C4—794no—
1538C22×C4—798no—
1539C22×C4—798no—
1540C22×C4—791no—
1541C22×C4—792no—
1542C22×C4—791no—
1543C22×C4—791no—
1544C22×C4—791no—
1545C22×C4—791no—
1546C22×C4—791no—
1547C22×C4—791no—
1548C22×C4—791no—
1549C22×C4—791no—
1550C22×C4—794no—
1551C22×C4—794no—
1552C22×C4—1584no—
1553C22×C4C23×D7911yescharacteristic
1554C22×C4C23×D7914yes—
1555C22×C4C23×D7914yes—
1556C22×C4C23×D7911yescharacteristic
1557C22×C4C23×D7914yes—
1558C22×C4C23×D7912yes—
1559C22×C4C23×D7918yes—
1560C22×C4C23×D7911yescharacteristic
1561C4⋊C4—794no—
1562C4⋊C4—794no—
1563C4⋊C4—794no—
1564C4⋊C4—794no—
1565C4⋊C4—798no—
1566C4⋊C4—794no—
1567C4⋊C4—794no—
1568C4⋊C4—798no—
1569C4⋊C4—794no—
1570C4⋊C4—794no—
1571C4⋊C4—794no—
1572C4⋊C4—792no—
1573C4⋊C4—792no—
1574C4⋊C4—792no—
1575C4⋊C4—794no—
1576C4⋊C4—798no—
1577C4⋊C4—794no—
1578C4⋊C4—794no—
1579C4⋊C4—794no—
1580C4⋊C4—792no—
1581C4⋊C4—792no—
1582C4⋊C4—798no—
1583C4⋊C4—798no—
1584C4⋊C4—794no—
1585C4⋊C4—792no—
1586C4⋊C4C23×D7912yes—
1587C4⋊C4C23×D7912yes—
1588C4⋊C4C23×D7912yes—
1589C4⋊C4C23×D7912yes—
1590C4⋊C4C23×D7912yes—
1591C4⋊C4C23×D7912yes—
1592C4⋊C4C23×D7918yes—
1593C4⋊C4C23×D7914yes—
1594C4⋊C4C23×D7912yes—
1595C4⋊C4C23×D7912yes—
1596C4⋊C4C23×D7914yes—
1597C22⋊C4—794no—
1598C22⋊C4—794no—
1599C22⋊C4—794no—
1600C22⋊C4—794no—
1601C22⋊C4—794no—
1602C22⋊C4—794no—
1603C22⋊C4—794no—
1604C22⋊C4—794no—
1605C22⋊C4—798no—
1606C22⋊C4—794no—
1607C22⋊C4—794no—
1608C22⋊C4—794no—
1609C22⋊C4—794no—
1610C22⋊C4—794no—
1611C22⋊C4—794no—
1612C22⋊C4—794no—
1613C22⋊C4—798no—
1614C22⋊C4—798no—
1615C22⋊C4—794no—
1616C22⋊C4—798no—
1617C22⋊C4—798no—
1618C22⋊C4—798no—
1619C22⋊C4—794no—
1620C22⋊C4—798no—
1621C22⋊C4—794no—
1622C22⋊C4—794no—
1623C22⋊C4—794no—
1624C22⋊C4—794no—
1625C22⋊C4—794no—
1626C22⋊C4C23×D7918yes—
1627C22⋊C4C23×D7914yes—
1628C22⋊C4C23×D7918yes—
1629C22⋊C4C23×D7914yes—
1630C22⋊C4C23×D7914yes—
1631C22⋊C4C23×D7914yes—
1632C22⋊C4C23×D7914yes—
1633C22⋊C4C23×D7918yes—
1634C42—791no—
1635C42—791no—
1636C42—791no—
1637C42—791no—
1638C42—791no—
1639C42—791no—
1640C42—791no—
1641C42—791no—
1642C42—791no—
1643C42—791no—
1644C42—791no—
1645C42—791no—
1646C42—794no—
1647C42—794no—
1648C42—794no—
1649C42—794no—
1650C42—798no—
1651C42C23×D7911yescharacteristic
1652C42C23×D7911yescharacteristic
1653C42C23×D7911yescharacteristic
1654C42C23×D7911yescharacteristic
1655C42C23×D7914yes—
1656C42C23×D7918yes—
1657C23—24no—
1658C23—42no—
1659C23—42no—
1660C23—3161no—
1661C23—3164no—
1662C23—3164no—
1663C23—3168no—
1664C23—3168no—
1665C23—3168no—
1666C23—791no—
1667C23—794no—
1668C23—794no—
1669C23—791no—
1670C23—1582no—
1671C23—1588no—
1672C23—1582no—
1673C23C24×D7914yes—
1674C23C24×D7914yes—
1675C23C24×D7911yescharacteristic
1676Q8—24no—
1677Q8—24no—
1678Q8—42no—
1679Q8—3168no—
1680Q8—3164no—
1681Q8—1584no—
1682Q8—1584no—
1683Q8—1584no—
1684Q8—1584no—
1685D4—28no—
1686D4—24no—
1687D4—24no—
1688D4—24no—
1689D4—24no—
1690D4—42no—
1691D4—48no—
1692D4—48no—
1693D4—3164no—
1694D4—3162no—
1695D4—3168no—
1696D4—3162no—
1697D4—3164no—
1698D4—3168no—
1699D4—3168no—
1700D4—3168no—
1701D4—3164no—
1702D4—3164no—
1703D4—3164no—
1704D4—3164no—
1705D4—3164no—
1706D4—3168no—
1707D4—1588no—
1708D4—1588no—
1709D4—1588no—
1710D4—1588no—
1711D4—1584no—
1712D4—1584no—
1713D4—1584no—
1714D4—1584no—
1715C2×C4—28no—
1716C2×C4—22no—
1717C2×C4—28no—
1718C2×C4—44no—
1719C2×C4—42no—
1720C2×C4—41no—
1721C2×C4—48no—
1722C2×C4—3164no—
1723C2×C4—3164no—
1724C2×C4—3161no—
1725C2×C4—3161no—
1726C2×C4—3161no—
1727C2×C4—3161no—
1728C2×C4—3168no—
1729C2×C4—3168no—
1730C2×C4—3164no—
1731C2×C4—3164no—
1732C2×C4—3164no—
1733C2×C4—3161no—
1734C2×C4—3161no—
1735C2×C4—3168no—
1736C2×C4—3162no—
1737C2×C4—3168no—
1738C2×C4—791no—
1739C2×C4—791no—
1740C2×C4—794no—
1741C2×C4—791no—
1742C2×C4—791no—
1743C2×C4—791no—
1744C2×C4—791no—
1745C2×C4—794no—
1746C2×C4—794no—
1747C2×C4—794no—
1748C2×C4—1582no—
1749C2×C4—1582no—
1750C2×C4—1582no—
1751C2×C4—1584no—
1752C2×C4—1582no—
1753C2×C4—1588no—
1754C2×C4—1582no—
1755C2×C4—1582no—
1756C2×C4—1582no—
1757C2×C4—1588no—
1758C2×C4—1582no—
1759C2×C4—1582no—
1760C2×C4#1457920714yes—
1761C2×C4C24×D7911yescharacteristic
1762C2×C4C24×D7914yes—
1763C2×C4C24×D7911yescharacteristic
1764C2×C4C24×D7911yescharacteristic
1765C2×C4C24×D7914yes—
1766C2×C4C24×D7914yes—
1767C2×C4C24×D7914yes—
1768C2×C4C24×D7911yescharacteristic
1769C2×C4C24×D7911yescharacteristic
1770C2×C4C24×D7911yescharacteristic
1771C22—21no—
1772C22—21no—
1773C22—24no—
1774C22—24no—
1775C22—24no—
1776C22—24no—
1777C22—24no—
1778C22—24no—
1779C22—84no—
1780C22—3164no—
1781C22—792no—
1782C22—6328no—
1783C22—1584no—
1784C22—1584no—
1785C22—1581no—
1786C22—1581no—
1787C22—1584no—
1788C22—1584no—
1789C22—1581no—
1790C22—1584no—
1791C22—1584no—
1792C22—1581no—
1793C22—1581no—
1794C22—12648no—
1795C22C2×#1457920712yes—
1796C22C25×D7911yescharacteristic
1797C4—24no—
1798C4—21no—
1799C4—21no—
1800C4—24no—
1801C4—21no—
1802C4—24no—
1803C4—24no—
1804C4—1581no—
1805C4—1584no—
1806C4—1584no—
1807C4—1584no—
1808C4—1581no—
1809C4—1581no—
1810C4—1584no—
1811C4—1581no—
1812C4—1581no—
1813C4—1581no—
1814C4C2×#1457920712yes—
1815C4C2×#1457920712yes—
1816C4#1909939812yes—
1817C2—22no—
1818C2—44no—
1819C2—44no—
1820C2—3161no—
1821C2—3164no—
1822C2—3164no—
1823C2—1582no—
1824C2C22×#1457920711yescharacteristic
1825C2#585×D7911yescharacteristic
1826C2C2×#1909939811yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3506C2
hypercenter#3506D79
hypocenterC79#62830
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3506

Complements

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

NH ≅ G/Ntype
1. #23777986C2semidirect
2. #23777954C2semidirect
3. #23777830C2semidirect
4. #23777826C2semidirect
5. #23777792C2semidirect
6. #23777773C2semidirect
7. #23777724C2semidirect
8. #23777591C2semidirect
9. #23777440C2semidirect
10. #23777435C2semidirect
11. #23777420C2semidirect
12. #23777401C2semidirect
13. #23777364C2semidirect
14. #23777360C2semidirect
15. #23777317C2semidirect
16. #23777267C2semidirect
17. #23777229C2semidirect
18. #23777192C2semidirect
19. #23777166C2semidirect
20. #23777164C2semidirect
21. #23777137C2semidirect
22. #23777081C2semidirect
23. #23777067C2semidirect
24. #23776697C2semidirect
25. #532×D79C2semidirect
26. C2×#19099095C2semidirect
27. C79×#3506C2semidirect
28. C2×#14579208C22semidirect
29. C2×#14579206C22semidirect
30. C2×#41×D79C22semidirect
31. #19099315C22semidirect
32. #19099307C22semidirect
33. #19099303C22semidirect
34. #19099301C22semidirect
35. #19099298C22semidirect
36. #19099292C22semidirect
37. #19099287C22semidirect
38. #19099286C22semidirect
39. #19099278C22semidirect
40. #19099276C22semidirect
41. #19099274C22semidirect
42. #19099271C22semidirect
43. #19099265C22semidirect
44. #19099265C22semidirect
45. #19099262C22semidirect
46. #19099261C22semidirect
47. #19099259C22semidirect
48. #19099259C22semidirect
49. #19099257C22semidirect
50. #19099257C22semidirect
51. #19099252C22semidirect
52. #19099251C22semidirect
53. #19099248C22semidirect
54. #19099238C22semidirect
55. #19099236C22semidirect
56. #19099236C22semidirect
57. #19099236C22semidirect
58. #19099234C22semidirect
59. #19099233C22semidirect
60. #19099233C22semidirect
61. #19099232C22semidirect
62. Q8×D316C22semidirect
63. D4×Dic158C22semidirect
64. #19099228C22semidirect
65. #19099225C22semidirect
66. #19099222C22semidirect
67. #19099221C22semidirect
68. #19099221C22semidirect
69. #19099219C22semidirect
70. #19099219C22semidirect
71. #19099217C22semidirect
72. #19099217C22semidirect
73. #19099217C22semidirect
74. #19099217C22semidirect
75. #19099210C22semidirect
76. #19099210C22semidirect
77. #19099208C22semidirect
78. #19099208C22semidirect
79. #19099208C22semidirect
80. #19099208C22semidirect
81. #19099206C22semidirect
82. #19099206C22semidirect
83. #19099204C22semidirect
84. #19099201C22semidirect
85. #19099200C22semidirect
86. #19099200C22semidirect
87. #19099200C22semidirect
88. D4×D316C22semidirect
89. D4×D316C22semidirect
90. #19099198C22semidirect
91. #19099197C22semidirect
92. #19099195C22semidirect
93. #19099191C22semidirect
94. #19099186C22semidirect
95. #19099186C22semidirect
96. #19099182C22semidirect
97. #19099171C22semidirect
98. #19099166C22semidirect
99. #19099166C22semidirect
100. #19099166C22semidirect
101. #19099165C22semidirect
102. #19099164C22semidirect
103. #19099162C22semidirect
104. #19099157C22semidirect
105. #19099154C22semidirect
106. #19099152C22semidirect
107. #19099149C22semidirect
108. #19099149C22semidirect
109. #19099147C22semidirect
110. #19099146C22semidirect
111. #19099144C22semidirect
112. #19099144C22semidirect
113. #19099142C22semidirect
114. #19099141C22semidirect
115. #19099140C22semidirect
116. #19099139C22semidirect
117. #19099139C22semidirect
118. #19099133C22semidirect
119. #19099129C22semidirect
120. #19099127C22semidirect
121. #19099126C22semidirect
122. #19099125C22semidirect
123. #19099121C22semidirect
124. #19099118C22semidirect
125. #19099118C22semidirect
126. #19099114C22semidirect
127. #19099114C22semidirect
128. #19099114C22semidirect
130. #19099113C22semidirect
131. #19099112C22semidirect
132. #19099111C22semidirect
133. #19099111C22semidirect
134. #19099110C22semidirect
135. #19099110C22semidirect
136. #19099109C22semidirect
137. #19099108C22semidirect
138. #19099108C22semidirect
139. #19099108C22semidirect
140. C4⋊Q8×D79C22semidirect
141. #127×D79C22semidirect
142. #19099100C22semidirect
143. #19099100C22semidirect
144. #19099100C22semidirect
145. #19099099C22semidirect
146. #19099099C22semidirect
147. #19099099C22semidirect
148. #19099098C22semidirect
149. #19099098C22semidirect
150. #19099095C22semidirect
151. #19099095C22semidirect
152. #19099095C22semidirect
153. #19099095C22semidirect
154. #19099095C22semidirect
155. #19099095C22semidirect
156. #19099095C22semidirect
157. #19099095C22semidirect
158. #19099095C22semidirect
159. C2×#14579154C22semidirect
160. C2×#14579152C22semidirect
161. C2×#14579148C22semidirect
162. #124×D79C22semidirect
163. #124×D79C22semidirect
164. #19099076C22semidirect
165. #19099076C22semidirect
166. #19099075C22semidirect
167. #19099075C22semidirect
168. #19099073C22semidirect
169. C2×#14579143C22semidirect
170. C2×#14579141C22semidirect
171. C2×#14579141C22semidirect
172. C2×#14579135C22semidirect
174. #121×D79C22semidirect
175. #121×D79C22semidirect
176. #121×D79C22semidirect
177. #19099046C22semidirect
178. #19099043C22semidirect
179. #19099037C22semidirect
180. #19099035C22semidirect
181. C4×#11929625C22semidirect
182. C4×#11929625C22semidirect
183. #19099031C22semidirect
184. C2×C4×Dic158C22semidirect
185. C2×C4×C22⋊D79C22semidirect
186. C4×D4×D79C22semidirect
187. C4×D4×D79C22semidirect
188. C2×#14579120C22semidirect
189. C2×C42×D79C22semidirect
190. #559×C79C22semidirect
191. #556×C79C22semidirect
192. #555×C79C22semidirect
193. #553×C79C22semidirect
194. #550×C79C22semidirect
195. #547×C79C22semidirect
196. #538×C79C22semidirect
197. #535×C79C22semidirect
198. #533×C79C22semidirect
199. #532×C79C22semidirect
200. #525×C79C22semidirect
201. #520×C79C22semidirect
202. C2×C4×D4×C79C22semidirect
930. #3506D79semidirect
941. C79#62830semidirect
950. #559C2×D79semidirect
954. #556C2×D79semidirect
957. #555C2×D79semidirect
968. #553C2×D79semidirect
980. #550C2×D79semidirect
994. #547C2×D79semidirect
1031. #538C2×D79semidirect
1043. #535C2×D79semidirect
1048. #533C2×D79semidirect
1063. #532C2×D79semidirect
1093. #525C2×D79semidirect
1104. #520C2×D79semidirect
1114. C2×C4×D4C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779862
#237779542
#237778302
#237778262
#237777922
#237777732
#237777242
#237775912
#237774402
#237774352
#237774202
#237774012
#237773642
#237773602
#237773172
#237772672
#237772292
#237771922
#237771662
#237771642
#237771372
#237770812
#237770672
#237766972
#532×D792
C2×#190990952
C79×#35062
#6283079