Finite Group Databasebeta

← #35196136

Subgroups — #35196136

Order 20224.

6624 conjugacy classes of subgroups.

The subgroup lattice has 1400 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778060C218yesmaximal, complemented
2#23778037C214yesmaximal, complemented
3#23777980C214yesmaximal, complemented
4#23777882C212yesmaximal, complemented
5#23777865C212yesmaximal, complemented
6#23777783C212yesmaximal, complemented
7#23777766C212yesmaximal, complemented
8#23777668C214yesmaximal, complemented
9#23777656C214yesmaximal, complemented
10#23777538C214yesmaximal, complemented
11#23777024C211yesmaximal, characteristic, complemented
12#23777018C212yesmaximal, complemented
13#23777008C211yesmaximal, characteristic, complemented
14#23776998C214yesmaximal, complemented
15#23776962C214yesmaximal, complemented
16#23776825C214yesmaximal, complemented
17#23776821C214yesmaximal, complemented
18#23776785C214yesmaximal, complemented
19#23776696C212yesmaximal, complemented
20C79×#3444C211yesmaximal, characteristic, complemented
21#19099316C2214yescomplemented
22#19099314C2218yescomplemented
23#19099310C2218yescomplemented
24#19099309C2218yescomplemented
25#19099308C2218yescomplemented
26#19099306C2214yescomplemented
27#19099303C2214yescomplemented
28#19099302C2214yescomplemented
29#19099302C2218yescomplemented
30#19099301C2218yes—
31#19099299C2211yescharacteristic, complemented
32#19099296C2218yescomplemented
33#19099296C2214yescomplemented
34#19099293C2211yescharacteristic, complemented
35#19099289C2214yescomplemented
36#19099288C2212yescomplemented
37#19099287C2212yescomplemented
38#19099285C2214yescomplemented
39#19099284C2214yescomplemented
40#19099281C2218yescomplemented
41#19099281C2214yescomplemented
42#19099279C2211yescharacteristic, complemented
43#19099277C2214yescomplemented
44#19099276C2214yes—
45#19099275C2214yescomplemented
46#19099274C2212yescomplemented
47#19099272C2214yescomplemented
48#19099263C2218yescomplemented
49#19099263C2214yescomplemented
50#19099262C2218yescomplemented
51#19099260C2214yes—
52#19099257C2218yescomplemented
53#19099257C2214yescomplemented
54#19099254C2214yescomplemented
55#19099252C2214yescomplemented
56#19099247C2214yescomplemented
57#19099246C2218yescomplemented
58#19099245C2218yescomplemented
59#19099243C2214yescomplemented
60#19099242C2218yescomplemented
61#19099237C2218yescomplemented
62#19099233C2212yescomplemented
63#19099232C2214yes—
64#19099231C2214yescomplemented
65#19099228C2212yescomplemented
66#19099225C2214yescomplemented
67#19099223C2214yes—
68#19099220C2214yescomplemented
69#19099216C2212yescomplemented
70#19099215C2214yescomplemented
71#19099212C2214yescomplemented
72#19099210C2214yes—
73#19099208C2214yescomplemented
74#19099201C2214yes—
75#19099198C2211yescharacteristic, complemented
76#19099193C2214yescomplemented
77#19099193C2214yescomplemented
78#19099186C2214yes—
79#19099185C2218yescomplemented
80#19099182C2214yescomplemented
81#19099182C2214yescomplemented
82#19099181C2218yescomplemented
83#19099180C2214yescomplemented
84#19099179C2218yescomplemented
85#19099178C2218yescomplemented
86#19099176C2214yescomplemented
87#19099173C2214yescomplemented
88#19099171C2218yescomplemented
89#19099170C2218yescomplemented
90#19099169C2214yescomplemented
91#19099166C2214yescomplemented
92#19099165C2218yescomplemented
93#19099164C2218yescomplemented
94#19099156C2218yescomplemented
95#19099155C2218yescomplemented
96#19099155C2218yescomplemented
97#19099154C2218yescomplemented
98#19099152C2218yescomplemented
99#19099149C2218yescomplemented
100#19099146C2218yescomplemented
101#19099146C2218yescomplemented
102#19099143C2214yescomplemented
103#19099142C2214yes—
104#19099136C2214yescomplemented
105#19099133C2214yescomplemented
106#19099131C2214yescomplemented
107#19099129C2214yes—
108#19099120C2212yescomplemented
109#19099120C2212yescomplemented
110#19099120C2212yescomplemented
111#19099117C2214yescomplemented
112#19099116C2214yescomplemented
113#19099113C2212yes—
114#19099113C2212yes—
115#19099113C2212yes—
116#19099110C2214yescomplemented
117#19099110C2218yescomplemented
118#19099109C2214yescomplemented
119#19099100C2214yescomplemented
120#19099097C2212yes—
121#19099097C2212yes—
122#19099097C2214yescomplemented
123#19099097C2214yescomplemented
124#19099097C2214yescomplemented
125#19099097C2218yescomplemented
126#19099097C2212yescomplemented
127#19099097C2214yescomplemented
128#19099097C2212yescomplemented
129#19099095C2218yescomplemented
130#19099095C2214yescomplemented
131#19099093C2218yescomplemented
132#19099091C2218yescomplemented
133#19099091C2218yescomplemented
134#19099075C2214yescomplemented
135#19099074C2212yes—
136#19099074C2214yescomplemented
137#19099074C2212yescomplemented
138#19099074C2214yescomplemented
139#19099072C2218yescomplemented
140#19099070C2214yes—
141C4×#11929625C2214yescomplemented
142C4×#11929624C2212yes—
143C4×#11929624C2212yescomplemented
144C4×#11929624C2214yescomplemented
145C4×#11929624C2214yescomplemented
146C4×#11929624C2214yescomplemented
147C4×#11929623C2214yescomplemented
148C4×Q8×D79C2214yescomplemented
149C4×D4×D79C2214yescomplemented
150C2×#14579118C2214yescomplemented
151#533×C79C2212yescomplemented
152#533×C79C2211yescharacteristic, complemented
153#532×C79C2211yescharacteristic
154#532×C79C2212yes—
155#529×C79C2214yescomplemented
156#529×C79C2214yescomplemented
157#529×C79C2214yescomplemented
158#525×C79C2212yescomplemented
159#525×C79C2214yescomplemented
160C4×#41×C79C2212yescomplemented
161C4×#41×C79C2214yescomplemented
162C22×C42×C79C2211yescharacteristic, complemented
163C2×#11929625C2314yes—
164C2×#11929624C2314yes—
165C2×#11929624C2312yes—
166C2×#11929624C2312yes—
167C2×#11929624C2314yes—
168C2×#11929624C2314yes—
169C2×#11929623C2314yes—
170C2×Q8×D79C2314yes—
171C2×D4×D79C2314yes—
172C22×C4×D79C2314yes—
173#14579161C2312yes—
174#14579161C2312yes—
175#14579161C2312yes—
176#14579160C2318yes—
177#14579160C2318yes—
178#14579160C2314yes—
179#14579160C2314yes—
180#14579159C2314yes—
181#14579159C2314yes—
182#14579158C2312yes—
183#14579157C2314yes—
184#14579157C2318yes—
185#14579157C2314yes—
186#14579156C2318yes—
187#14579156C2318yes—
188#14579156C2318yes—
189#14579156C2318yes—
190#14579155C2314yes—
191#14579155C2318yes—
192#14579155C2314yes—
193#14579155C2318yes—
194#14579155C2314yes—
195#14579155C2314yes—
196#14579154C2318yes—
197#14579154C2318yes—
198#14579154C2318yes—
199#14579154C2318yes—
200#14579154C2318yes—
201#14579154C2318yes—
202#14579153C2314yes—
203#14579153C2314yes—
204#14579153C2318yes—
205#14579153C2312yes—
206#14579153C2312yes—
207#14579152C2318yes—
208#14579152C2314yes—
209#14579152C2318yes—
210#14579152C2314yes—
211#14579151C2318yes—
212#14579151C2318yes—
213#14579151C2318yes—
214#14579151C2318yes—
215#14579150C2314yes—
216#14579150C2314yes—
217#14579149C2314yes—
218#14579149C2318yes—
219#14579149C2314yes—
220#14579149C2312yes—
221#14579149C2312yes—
222#14579148C2314yes—
223#14579148C2318yes—
224#14579148C2314yes—
225#14579147C2318yes—
226#14579147C2318yes—
227#14579147C2318yes—
228#14579147C2318yes—
229#14579147C2318yes—
230#14579147C2318yes—
231#14579146C2318yes—
232#14579146C2318yes—
233#14579146C2318yes—
234#14579146C2318yes—
235#14579145C2318yes—
236#14579145C2318yes—
237#14579144C2314yes—
238#14579144C2318yes—
239#14579144C2314yes—
240#14579144C2318yes—
241#14579144C2314yes—
242#14579144C2314yes—
243#14579144C2314yes—
244#14579144C2314yes—
245#14579143C2318yes—
246#14579143C2318yes—
247#14579143C2318yes—
248#14579143C2318yes—
249#14579143C2318yes—
250#14579143C2318yes—
251#14579142C2314yes—
252#14579142C2314yes—
253#14579142C2318yes—
254#14579141C2314yes—
255#14579141C2314yes—
256#14579141C2318yes—
257#14579141C2318yes—
258#14579140C2312yes—
259#14579140C2312yes—
260#14579140C2314yes—
261#14579140C2318yes—
262#14579140C2314yes—
263#14579140C2312yes—
264#14579140C2312yes—
265#14579140C2314yes—
266#14579140C2314yes—
267#14579139C2318yes—
268#14579139C2318yes—
269#14579139C2318yes—
270#14579139C2318yes—
271#14579138C2318yes—
272#14579138C2318yes—
273#14579138C2318yes—
274#14579138C2318yes—
275#14579137C2314yes—
276#14579137C2314yes—
277#14579137C2318yes—
278#14579136C2318yes—
279#14579136C2314yes—
280#14579136C2318yes—
281#14579136C2314yes—
282#14579135C2312yes—
283#14579135C2314yes—
284#14579135C2318yes—
285#14579135C2314yes—
286#14579135C2312yes—
287#14579135C2312yes—
288#14579135C2312yes—
289#14579135C2314yes—
290#14579135C2314yes—
291#14579134C2318yes—
292#14579134C2318yes—
293#14579134C2318yes—
294#14579134C2318yes—
295#14579134C2318yes—
296#14579134C2318yes—
297#14579133C2318yes—
298#14579133C2318yes—
299#14579133C2318yes—
300#14579133C2318yes—
301#14579132C2318yes—
302#14579132C2314yes—
303#14579132C2318yes—
304#14579132C2318yes—
305#14579132C2314yes—
306#14579131C2318yes—
307#14579131C2318yes—
308#14579130C2314yes—
309#14579130C2314yes—
310#14579129C2314yes—
311#14579129C2314yes—
312#14579129C2318yes—
313Q8×Dic79C2314yes—
314Q8×Dic79C2314yes—
315C4×Dic158C2314yes—
316C4×Dic158C2318yes—
317C4×Dic158C2312yes—
318C4×Dic158C2312yes—
319C4×Dic158C2314yes—
320C4×Dic158C2314yes—
321C4×Dic158C2312yes—
322C4×Dic158C2318yes—
323C4×Dic158C2312yes—
324C4×Dic158C2314yes—
325#14579126C2318yes—
326#14579126C2314yes—
327#14579126C2314yes—
328C4×D316C2314yes—
329C4×D316C2318yes—
330C4×D316C2312yes—
331C4×D316C2314yes—
332C4×D316C2312yes—
333C4×D316C2314yes—
334C4×D316C2312yes—
335C4×D316C2312yes—
336C4×D316C2314yes—
337C4×D316C2318yes—
338D4×Dic79C2314yes—
339D4×Dic79C2314yes—
340#14579123C2318yes—
341#14579123C2314yes—
342#14579123C2314yes—
343C4×C22⋊D79C2318yes—
344C4×C22⋊D79C2318yes—
345C4×C22⋊D79C2314yes—
346C4×C22⋊D79C2314yes—
347C4×C22⋊D79C2314yes—
348C4×C22⋊D79C2314yes—
349C4×C22⋊D79C2314yes—
350C4×C22⋊D79C2314yes—
351C4×C22⋊D79C2314yes—
352C4×C22⋊D79C2314yes—
353C4×C22⋊D79C2318yes—
354C4×C22⋊D79C2318yes—
355C4×C22⋊D79C2314yes—
356C4×C22⋊D79C2314yes—
357C4×C22⋊D79C2314yes—
358C4×C22⋊D79C2314yes—
359(C22⋊D79)⋊C4C2318yes—
360(C22⋊D79)⋊C4C2318yes—
361#14579120C2314yes—
362#14579120C2312yes—
363#14579120C2312yes—
364#14579120C2314yes—
365#14579120C2314yes—
366#14579119C2314yes—
367#14579119C2318yes—
368#14579119C2314yes—
369#14579118C2318yes—
370#14579118C2314yes—
371#14579118C2314yes—
372#14579118C2318yes—
373#14579118C2314yes—
374#14579118C2314yes—
375#14579118C2314yes—
376#14579118C2318yes—
377#14579118C2314yes—
378#14579117C2318yes—
379C2×Dic79⋊C4C2318yes—
380C4⋊C4×D79C2314yes—
381C4⋊C4×D79C2314yes—
382C4⋊C4×D79C2318yes—
383C2×(C2×D79)⋊C4C2318yes—
384C22⋊C4×D79C2318yes—
385C2×C4×Dic79C2314yes—
386C42×D79C2314yes—
387C42×D79C2314yes—
388C42×D79C2318yes—
389C2×#41×C79C2314yes—
390C2×#41×C79C2312yes—
391C23×C4×C79C2312yes—
392C23×C4×C79C2311yescharacteristic
393C4⋊Q8×C79C2312yes—
394C4⋊Q8×C79C2311yescharacteristic
395#127×C79C2311yescharacteristic
396#126×C79C2318yes—
397#125×C79C2314yes—
398#125×C79C2312yes—
399#124×C79C2314yes—
400#124×C79C2312yes—
401#123×C79C2318yes—
402#123×C79C2314yes—
403C22⋊Q8×C79C2314yes—
404C22⋊Q8×C79C2314yes—
405C22⋊Q8×C79C2314yes—
406#121×C79C2314yes—
407#121×C79C2314yes—
408#121×C79C2314yes—
409#120×C79C2314yes—
410C4×Q8×C79C2314yes—
411C4×Q8×C79C2314yes—
412C4×Q8×C79C2314yes—
413C4×D4×C79C2314yes—
414C4×D4×C79C2318yes—
415C4×D4×C79C2314yes—
416C4×D4×C79C2318yes—
417C4×D4×C79C2318yes—
418C4×D4×C79C2314yes—
419#117×C79C2318yes—
420#117×C79C2314yes—
421#117×C79C2312yes—
422#117×C79C2314yes—
423C2×C42×C79C2312yes—
424C2×C42×C79C2311yescharacteristic
425C2×C42×C79C2312yes—
426C2×C42×C79C2312yes—
427C2×C42×C79C2312yes—
428C2×C42×C79C2311yescharacteristic
429C2×C42×C79C2312yes—
430C2×C42×C79C2314yes—
431C23×D79C2414yes—
432#11929625—48no—
433#11929624—44no—
434#11929624—44no—
435#11929624—48no—
436#11929624—48no—
437#11929624—48no—
438#11929623—48no—
439C2×Dic158C2412yes—
440C2×Dic158C2412yes—
441C2×Dic158C2418yes—
442C2×Dic158C2414yes—
443C2×Dic158C2414yes—
444C2×Dic158C2414yes—
445Q8×D79—48no—
446C2×D316C2412yes—
447C2×D316C2412yes—
448C2×D316C2414yes—
449C2×D316C2414yes—
450C2×D316C2414yes—
451C2×D316C2418yes—
452C2×C22⋊D79C2418yes—
453C2×C22⋊D79C2414yes—
454C2×C22⋊D79C2414yes—
455C2×C22⋊D79C2414yes—
456C2×C22⋊D79C2414yes—
457C2×C22⋊D79C2414yes—
458C2×C22⋊D79C2414yes—
459C2×C22⋊D79C2418yes—
460C2×C22⋊D79C2418yes—
461D4×D79—48no—
462C22×Dic79C2418yes—
463C22×Dic79C2414yes—
464C2×C4×D79—48no—
465C2×C4×D79C2414yes—
466C2×C4×D79C2414yes—
467C2×C4×D79C2414yes—
468C2×C4×D79C2414yes—
469C2×C4×D79C2418yes—
470C2×C4×D79C2414yes—
471C2×C4×D79C2414yes—
472C2×C4×D79C2418yes—
473C2×C4×D79C2418yes—
474C4⋊Dic79C2412yes—
475C4⋊Dic79C2412yes—
476C4⋊Dic79C2418yes—
477C4⋊Dic79C2412yes—
478C4⋊Dic79C2412yes—
479C4⋊Dic79C2418yes—
480C4⋊Dic79C2418yes—
481C4⋊Dic79C2414yes—
482C4⋊Dic79C2414yes—
483C4⋊Dic79C2414yes—
484C4⋊Dic79C2414yes—
485Dic79⋊C4C2414yes—
486Dic79⋊C4C2418yes—
487Dic79⋊C4C2418yes—
488Dic79⋊C4C2418yes—
489Dic79⋊C4C2414yes—
490Dic79⋊C4C2414yes—
491Dic79⋊C4C2418yes—
492Dic79⋊C4C2418yes—
493Dic79⋊C4C2414yes—
494Dic79⋊C4C2418yes—
495Dic79⋊C4C2414yes—
496Dic79⋊C4C2414yes—
497Dic79⋊C4C2414yes—
498Dic79⋊C4C2414yes—
499Dic79⋊C4C2414yes—
500Dic79⋊C4C2414yes—
501Dic79⋊C4C2414yes—
502Dic79⋊C4C2414yes—
503C22⋊Dic79C2418yes—
504C22⋊Dic79C2418yes—
505C22⋊Dic79C2414yes—
506C22⋊Dic79C2414yes—
507C22⋊Dic79C2414yes—
508C22⋊Dic79C2414yes—
509C22⋊Dic79C2414yes—
510C22⋊Dic79C2414yes—
511C22⋊Dic79C2414yes—
512C22⋊Dic79C2414yes—
513(C2×D79)⋊C4C2414yes—
514(C2×D79)⋊C4C2418yes—
515(C2×D79)⋊C4C2414yes—
516(C2×D79)⋊C4C2414yes—
517(C2×D79)⋊C4C2418yes—
518(C2×D79)⋊C4C2418yes—
519(C2×D79)⋊C4C2414yes—
520(C2×D79)⋊C4C2414yes—
521(C2×D79)⋊C4C2414yes—
522(C2×D79)⋊C4C2414yes—
523(C2×D79)⋊C4C2414yes—
524(C2×D79)⋊C4C2414yes—
525(C2×D79)⋊C4C2414yes—
526(C2×D79)⋊C4C2414yes—
527(C2×D79)⋊C4C2414yes—
528(C2×D79)⋊C4C2418yes—
529(C2×D79)⋊C4C2418yes—
530(C2×D79)⋊C4C2418yes—
531C4×Dic79C2414yes—
532C4×Dic79C2414yes—
533C4×Dic79C2414yes—
534C4×Dic79C2414yes—
535C4×Dic79C2414yes—
536C4×Dic79C2414yes—
537C4×Dic79C2418yes—
538C4×Dic79C2418yes—
539C4×Dic79C2414yes—
540C4×Dic79C2414yes—
541C24×C79C2411yescharacteristic
542#41×C79—44no—
543#41×C79—48no—
544C2×Q8×C79C2414yes—
545C2×Q8×C79C2412yes—
546C2×D4×C79C2414yes—
547C2×D4×C79C2414yes—
548C2×D4×C79C2418yes—
549C2×D4×C79C2412yes—
550C22×C4×C79—44no—
551C22×C4×C79—42no—
552C22×C4×C79C2412yes—
553C22×C4×C79C2412yes—
554C22×C4×C79C2412yes—
555C22×C4×C79C2414yes—
556C22×C4×C79C2411yescharacteristic
557C22×C4×C79C2412yes—
558C22×C4×C79C2412yes—
559C22×C4×C79C2412yes—
560C22×C4×C79C2412yes—
561C22×C4×C79C2412yes—
562C22×C4×C79C2411yescharacteristic
563C22×C4×C79C2418yes—
564C4⋊C4×C79C2414yes—
565C4⋊C4×C79C2414yes—
566C4⋊C4×C79C2414yes—
567C4⋊C4×C79C2418yes—
568C4⋊C4×C79C2418yes—
569C4⋊C4×C79C2418yes—
570C22⋊C4×C79C2418yes—
571C22⋊C4×C79C2414yes—
572C22⋊C4×C79C2418yes—
573C22⋊C4×C79C2418yes—
574C22⋊C4×C79C2418yes—
575C42×C79C2411yescharacteristic
576C42×C79C2411yescharacteristic
577C42×C79C2412yes—
578C42×C79C2412yes—
579C42×C79C2412yes—
580C42×C79C2412yes—
581C42×C79C2411yescharacteristic
582C42×C79C2412yes—
583C42×C79C2412yes—
584C42×C79C2411yescharacteristic
585C42×C79C2414yes—
586C42×C79C2418yes—
587C23×C79—42no—
588C23×C79—41no—
589C23×C79C2512yes—
590C23×C79C2511yescharacteristic
591C23×C79C2514yes—
592C22×D79—44no—
593C22×D79—48no—
594C22×D79C2514yes—
595C22×D79C2514yes—
596Q8×C79—28no—
597Q8×C79—42no—
598D4×C79—28no—
599D4×C79—42no—
600D4×C79—44no—
601D4×C79—48no—
602C2×C4×C79—28no—
603C2×C4×C79—24no—
604C2×C4×C79—24no—
605C2×C4×C79—24no—
606C2×C4×C79—24no—
607C2×C4×C79—22no—
608C2×C4×C79—42no—
609C2×C4×C79—42no—
610C2×C4×C79—42no—
611C2×C4×C79—41no—
612C2×C4×C79—42no—
613C2×C4×C79—48no—
614C2×C4×C79C2512yes—
615C2×C4×C79C2514yes—
616C2×C4×C79C2518yes—
617C2×C4×C79C2512yes—
618C2×C4×C79C2511yescharacteristic
619C2×C4×C79C2512yes—
620C2×C4×C79C2512yes—
621C2×C4×C79C2512yes—
622C2×C4×C79C2511yescharacteristic
623C22⋊D79—48no—
624C22⋊D79—48no—
625C22⋊D79—44no—
626C22⋊D79—48no—
627C22⋊D79—44no—
628C22⋊D79—44no—
629C22⋊D79—44no—
630C22⋊D79—44no—
631C22⋊D79—44no—
632C2×Dic79—44no—
633C2×Dic79—48no—
634C2×Dic79C2514yes—
635C2×Dic79C2514yes—
636C2×Dic79C2514yes—
637C2×Dic79C2514yes—
638C2×Dic79C2514yes—
639C2×Dic79C2514yes—
640D316—24no—
641D316—24no—
642D316—44no—
643D316—44no—
644D316—44no—
645D316—48no—
646C4×D79—28no—
647C4×D79—28no—
648C4×D79—28no—
649C4×D79—28no—
650C4×D79—48no—
651C4×D79—48no—
652C4×D79—44no—
653C4×D79—44no—
654C4×D79—48no—
655Dic158—24no—
656Dic158—24no—
657Dic158—48no—
658Dic158—44no—
659Dic158—44no—
660Dic158—44no—
661C22×C79—22no—
662C22×C79—22no—
663C22×C79—22no—
664C22×C79—24no—
665C22×C79—28no—
666C22×C79—22no—
667C22×C79—21no—
668C22×C79—44no—
669C22×C79C2611yescharacteristic
670C2×D79—24no—
671C2×D79—24no—
672C2×D79—24no—
673C2×D79—24no—
674C2×D79—24no—
675C2×D79—24no—
676C2×D79—88no—
677C4×C79—22no—
678C4×C79—21no—
679C4×C79—22no—
680C4×C79—22no—
681C4×C79—22no—
682C4×C79—24no—
683C4×C79—28no—
684C4×C79#58512yes—
685C4×C79#58514yes—
686Dic79—24no—
687Dic79—24no—
688Dic79—24no—
689Dic79—24no—
690Dic79—24no—
691Dic79—24no—
692#62762—791nomaximal, Sylow
693C2×C79—44no—
694C2×C79—41no—
695C2×C79—42no—
696C2×C79C2×#58512yes—
697C2×C79C2×#58511yescharacteristic
698D79—44no—
699D79—44no—
700#3566—798no—
701#3565—794no—
702#3562—794no—
703#3555—792no—
704#3554—792no—
705#3547—792no—
706#3546—792no—
707#3540—794no—
708#3539—794no—
709#3529—794no—
710#3483—791no—
711#3482—792no—
712#3481—791no—
713#3480—794no—
714#3475—794no—
715#3461—794no—
716#3460—794no—
717#3455—794no—
718#3444—792no—
719#3444D7911yescharacteristic, complemented
720C79#6276211yescharacteristic, complemented, Sylow
721#563—794no—
722#563—798no—
723#562—798no—
724#562—798no—
725#562—798no—
726H(3,𝔽4)—794no—
727#560—794no—
728#560—798no—
729#560—794no—
730#560—798no—
731#559—791no—
732#559—798no—
733#559—794no—
734Q82—791no—
735#557—792no—
736#557—794no—
737#556—792no—
738#556—794no—
739#556—794no—
740#556—794no—
741#556—798no—
742#555—791no—
743#555—794no—
744#555—794no—
745#555—794no—
746#554—792no—
747#554—794no—
748#553—794no—
749#553—798no—
750#553—798no—
751#553—794no—
752#553—794no—
753#553—798no—
754#552—798no—
755#552—794no—
756#552—794no—
757#552—798no—
758#552—794no—
759#551—794no—
760#551—798no—
761#551—798no—
762#550—794no—
763#550—792no—
764#550—794no—
765D4×Q8—792no—
766#548—794no—
767#548—794no—
768#548—794no—
769#547—794no—
770#547—792no—
771#547—794no—
772#546—794no—
773#546—794no—
774#546—794no—
775D42—791no—
776#544—794no—
777#544—794no—
778#542—798no—
779#542—794no—
780#542—794no—
781#542—798no—
782#542—794no—
783#542—794no—
784#542—798no—
785#542—798no—
786#541—798no—
787#541—794no—
788#541—794no—
789#541—798no—
790#540—794no—
791#540—798no—
792#540—794no—
793#540—798no—
794#539—798no—
795#539—798no—
796#539—798no—
797#539—798no—
798#538—798no—
799#538—798no—
800#538—798no—
801#538—798no—
802#537—794no—
803#537—794no—
804#536—794no—
805#536—794no—
806#535—794no—
807#535—794no—
808#533—794no—
809#533—794no—
810#533—792no—
811#533—792no—
812#533—792no—
813#533C2×D7911yescharacteristic, complemented
814#533C2×D7912yescomplemented
815#532—794no—
816#532—794no—
817#532—798no—
818#532—792no—
819#532—792no—
820#532—792no—
821#532C2×D7911yescharacteristic
822#532C2×D7912yes—
823#529—794no—
824#529—798no—
825#529—794no—
826#529—798no—
827#529—798no—
828#529—798no—
829#529—794no—
830#529—792no—
831#529—792no—
832#529—792no—
833#529—792no—
834#529—794no—
835#529—794no—
836#529—794no—
837#529—798no—
838#529C2×D7914yescomplemented
839#529C2×D7914yescomplemented
840#529C2×D7914yescomplemented
841#525—794no—
842#525—792no—
843#525—794no—
844#525—792no—
845#525—794no—
846#525—798no—
847#525—794no—
848#525C2×D7912yescomplemented
849#525C2×D7914yescomplemented
850C4×#41—794no—
851C4×#41—794no—
852C4×#41—794no—
853C4×#41—794no—
854C4×#41—792no—
855C4×#41—792no—
856C4×#41—794no—
857C4×#41C2×D7912yescomplemented
858C4×#41C2×D7914yescomplemented
859C2×C4×Q8—794no—
860C2×C4×D4—794no—
861C2×#117—794no—
862C22×C42C2×D7911yescharacteristic, complemented
863C2×#41—794no—
864C2×#41—794no—
865C2×#41—794no—
866C2×#41—794no—
867C2×#41—794no—
868C2×#41—792no—
869C2×#41—792no—
870C2×#41C22×D7912yes—
871C2×#41C22×D7914yes—
872C22×Q8—794no—
873C22×D4—794no—
874C23×C4—794no—
875C23×C4C22×D7912yes—
876C23×C4C22×D7911yescharacteristic
877C4⋊Q8—794no—
878C4⋊Q8—794no—
879C4⋊Q8—794no—
880C4⋊Q8—798no—
881C4⋊Q8—798no—
882C4⋊Q8—794no—
883C4⋊Q8—792no—
884C4⋊Q8—792no—
885C4⋊Q8—792no—
886C4⋊Q8C22×D7912yes—
887C4⋊Q8C22×D7911yescharacteristic
888#127—794no—
889#127—798no—
890#127—794no—
891#127—792no—
892#127C22×D7911yescharacteristic
893#126—798no—
894#126—798no—
895#126—798no—
896#126—798no—
897#126—798no—
898#126—798no—
899#126—798no—
900#126—798no—
901#126—798no—
902#126—798no—
903#126—794no—
904#126—794no—
905#126—794no—
906#126—794no—
907#126—798no—
908#126—798no—
909#126C22×D7918yes—
910#125—798no—
911#125—798no—
912#125—794no—
913#125—798no—
914#125—798no—
915#125—794no—
916#125—798no—
917#125—798no—
918#125—794no—
919#125—794no—
920#125—792no—
921#125—792no—
922#125—798no—
923#125C22×D7914yes—
924#125C22×D7912yes—
925#124—794no—
926#124—794no—
927#124—794no—
928#124—798no—
929#124—794no—
930#124—798no—
931#124—798no—
932#124—798no—
933#124—798no—
934#124—798no—
935#124—798no—
936#124—794no—
937#124—794no—
938#124—792no—
939#124—792no—
940#124—798no—
941#124C22×D7914yes—
942#124C22×D7912yes—
943#123—794no—
944#123—794no—
945#123—798no—
946#123—794no—
947#123—794no—
948#123—794no—
949#123—794no—
950#123—794no—
951#123—794no—
952#123—798no—
953#123—798no—
954#123—798no—
955#123—798no—
956#123—798no—
957#123—798no—
958#123—798no—
959#123—798no—
960#123—798no—
961#123—798no—
962#123—798no—
963#123—798no—
964#123—798no—
965#123—798no—
966#123C22×D7918yes—
967#123C22×D7914yes—
968C22⋊Q8—798no—
969C22⋊Q8—794no—
970C22⋊Q8—794no—
971C22⋊Q8—792no—
972C22⋊Q8—792no—
973C22⋊Q8—794no—
974C22⋊Q8—794no—
975C22⋊Q8—792no—
976C22⋊Q8—792no—
977C22⋊Q8—794no—
978C22⋊Q8—794no—
979C22⋊Q8—798no—
980C22⋊Q8—798no—
981C22⋊Q8—798no—
982C22⋊Q8—794no—
983C22⋊Q8—798no—
984C22⋊Q8—798no—
985C22⋊Q8—798no—
986C22⋊Q8—794no—
987C22⋊Q8—798no—
988C22⋊Q8—798no—
989C22⋊Q8—798no—
990C22⋊Q8—798no—
991C22⋊Q8—798no—
992C22⋊Q8C22×D7914yes—
993C22⋊Q8C22×D7914yes—
994C22⋊Q8C22×D7914yes—
995#121—798no—
996#121—798no—
997#121—798no—
998#121—794no—
999#121—798no—
1000#121—794no—
1001#121—798no—
1002#121—798no—
1003#121—798no—
1004#121—792no—
1005#121—792no—
1006#121—794no—
1007#121—794no—
1008#121—792no—
1009#121—792no—
1010#121—794no—
1011#121—794no—
1012#121—798no—
1013#121—798no—
1014#121—794no—
1015#121—794no—
1016#121—798no—
1017#121—798no—
1018#121—798no—
1019#121—798no—
1020#121—798no—
1021#121—798no—
1022#121—798no—
1023#121C22×D7914yes—
1024#121C22×D7914yes—
1025#121C22×D7914yes—
1026#120—794no—
1027#120—794no—
1028#120—798no—
1029#120—794no—
1030#120—794no—
1031#120—798no—
1032#120—798no—
1033#120C22×D7914yes—
1034C4×Q8—794no—
1035C4×Q8—794no—
1036C4×Q8—794no—
1037C4×Q8—798no—
1038C4×Q8—794no—
1039C4×Q8—792no—
1040C4×Q8—798no—
1041C4×Q8—792no—
1042C4×Q8—794no—
1043C4×Q8—794no—
1044C4×Q8—792no—
1045C4×Q8—792no—
1046C4×Q8—794no—
1047C4×Q8—794no—
1048C4×Q8—798no—
1049C4×Q8C22×D7914yes—
1050C4×Q8C22×D7914yes—
1051C4×Q8C22×D7914yes—
1052C4×D4—794no—
1053C4×D4—794no—
1054C4×D4—798no—
1055C4×D4—794no—
1056C4×D4—794no—
1057C4×D4—798no—
1058C4×D4—794no—
1059C4×D4—794no—
1060C4×D4—794no—
1061C4×D4—794no—
1062C4×D4—794no—
1063C4×D4—794no—
1064C4×D4—794no—
1065C4×D4—794no—
1066C4×D4—794no—
1067C4×D4—794no—
1068C4×D4—798no—
1069C4×D4—798no—
1070C4×D4—794no—
1071C4×D4—798no—
1072C4×D4—794no—
1073C4×D4—798no—
1074C4×D4—798no—
1075C4×D4—792no—
1076C4×D4—792no—
1077C4×D4—798no—
1078C4×D4—794no—
1079C4×D4—794no—
1080C4×D4—792no—
1081C4×D4—794no—
1082C4×D4—792no—
1083C4×D4—794no—
1084C4×D4—798no—
1085C4×D4C22×D7914yes—
1086C4×D4C22×D7918yes—
1087C4×D4C22×D7918yes—
1088C4×D4C22×D7918yes—
1089C4×D4C22×D7914yes—
1090C4×D4C22×D7914yes—
1091#117—794no—
1092#117—794no—
1093#117—794no—
1094#117—792no—
1095#117—792no—
1096#117—794no—
1097#117—794no—
1098#117—798no—
1099#117—798no—
1100#117—794no—
1101#117—798no—
1102#117—798no—
1103#117—798no—
1104#117—794no—
1105#117—794no—
1106#117—794no—
1107#117—794no—
1108#117—794no—
1109#117C22×D7914yes—
1110#117C22×D7912yes—
1111#117C22×D7914yes—
1112#117C22×D7918yes—
1113C2×C4⋊C4—798no—
1114C2×C4⋊C4—794no—
1115C2×C4⋊C4—794no—
1116C2×C4⋊C4—798no—
1117C2×C22⋊C4—798no—
1118C2×C22⋊C4—798no—
1119C2×C42—794no—
1120C2×C42—794no—
1121C2×C42—794no—
1122C2×C42—798no—
1123C2×C42C22×D7914yes—
1124C2×C42C22×D7911yescharacteristic
1125C2×C42C22×D7912yes—
1126C2×C42C22×D7912yes—
1127C2×C42C22×D7911yescharacteristic
1128C2×C42C22×D7912yes—
1129C2×C42C22×D7912yes—
1130C2×C42C22×D7912yes—
1131C24—794no—
1132C24C23×D7911yescharacteristic
1133#41—44no—
1134#41—48no—
1135#41—3164no—
1136#41—3164no—
1137#41—3168no—
1138#41—3168no—
1139#41—3168no—
1140#41—3168no—
1141#41—3168no—
1142C2×Q8—3168no—
1143C2×Q8—798no—
1144C2×Q8—794no—
1145C2×Q8—794no—
1146C2×Q8—794no—
1147C2×Q8—792no—
1148C2×Q8—792no—
1149C2×Q8C23×D7914yes—
1150C2×Q8C23×D7912yes—
1151C2×D4—3168no—
1152C2×D4—794no—
1153C2×D4—794no—
1154C2×D4—794no—
1155C2×D4—794no—
1156C2×D4—798no—
1157C2×D4—794no—
1158C2×D4—794no—
1159C2×D4—798no—
1160C2×D4—798no—
1161C2×D4—798no—
1162C2×D4—794no—
1163C2×D4—794no—
1164C2×D4—794no—
1165C2×D4—792no—
1166C2×D4—792no—
1167C2×D4C23×D7914yes—
1168C2×D4C23×D7912yes—
1169C2×D4C23×D7918yes—
1170C2×D4C23×D7914yes—
1171C22×C4—44no—
1172C22×C4—42no—
1173C22×C4—3168no—
1174C22×C4—798no—
1175C22×C4—794no—
1176C22×C4—794no—
1177C22×C4—794no—
1178C22×C4—798no—
1179C22×C4—798no—
1180C22×C4—798no—
1181C22×C4—794no—
1182C22×C4—794no—
1183C22×C4—794no—
1184C22×C4—794no—
1185C22×C4C23×D7912yes—
1186C22×C4C23×D7912yes—
1187C22×C4C23×D7912yes—
1188C22×C4C23×D7914yes—
1189C22×C4C23×D7912yes—
1190C22×C4C23×D7911yescharacteristic
1191C22×C4C23×D7912yes—
1192C22×C4C23×D7912yes—
1193C22×C4C23×D7912yes—
1194C22×C4C23×D7911yescharacteristic
1195C22×C4C23×D7912yes—
1196C22×C4C23×D7918yes—
1197C4⋊C4—794no—
1198C4⋊C4—794no—
1199C4⋊C4—794no—
1200C4⋊C4—798no—
1201C4⋊C4—798no—
1202C4⋊C4—798no—
1203C4⋊C4—798no—
1204C4⋊C4—798no—
1205C4⋊C4—794no—
1206C4⋊C4—794no—
1207C4⋊C4—794no—
1208C4⋊C4—794no—
1209C4⋊C4—798no—
1210C4⋊C4—794no—
1211C4⋊C4—794no—
1212C4⋊C4—794no—
1213C4⋊C4—794no—
1214C4⋊C4—794no—
1215C4⋊C4—792no—
1216C4⋊C4—792no—
1217C4⋊C4—798no—
1218C4⋊C4—792no—
1219C4⋊C4—792no—
1220C4⋊C4—798no—
1221C4⋊C4—794no—
1222C4⋊C4—798no—
1223C4⋊C4—794no—
1224C4⋊C4—794no—
1225C4⋊C4—794no—
1226C4⋊C4C23×D7914yes—
1227C4⋊C4C23×D7914yes—
1228C4⋊C4C23×D7918yes—
1229C4⋊C4C23×D7918yes—
1230C4⋊C4C23×D7918yes—
1231C4⋊C4C23×D7914yes—
1232C22⋊C4—798no—
1233C22⋊C4—794no—
1234C22⋊C4—794no—
1235C22⋊C4—794no—
1236C22⋊C4—794no—
1237C22⋊C4—794no—
1238C22⋊C4—794no—
1239C22⋊C4—798no—
1240C22⋊C4—794no—
1241C22⋊C4—794no—
1242C22⋊C4—794no—
1243C22⋊C4—794no—
1244C22⋊C4—794no—
1245C22⋊C4—798no—
1246C22⋊C4—798no—
1247C22⋊C4—798no—
1248C22⋊C4—794no—
1249C22⋊C4—794no—
1250C22⋊C4—794no—
1251C22⋊C4—794no—
1252C22⋊C4—794no—
1253C22⋊C4—798no—
1254C22⋊C4—794no—
1255C22⋊C4—798no—
1256C22⋊C4—794no—
1257C22⋊C4—798no—
1258C22⋊C4—794no—
1259C22⋊C4—794no—
1260C22⋊C4C23×D7918yes—
1261C22⋊C4C23×D7918yes—
1262C22⋊C4C23×D7918yes—
1263C22⋊C4C23×D7914yes—
1264C22⋊C4C23×D7918yes—
1265C42—794no—
1266C42—794no—
1267C42—794no—
1268C42—794no—
1269C42—794no—
1270C42—794no—
1271C42—798no—
1272C42—798no—
1273C42—794no—
1274C42—794no—
1275C42C23×D7911yescharacteristic
1276C42C23×D7912yes—
1277C42C23×D7912yes—
1278C42C23×D7911yescharacteristic
1279C42C23×D7912yes—
1280C42C23×D7912yes—
1281C42C23×D7912yes—
1282C42C23×D7918yes—
1283C42C23×D7912yes—
1284C42C23×D7914yes—
1285C42C23×D7911yescharacteristic
1286C42C23×D7911yescharacteristic
1287C23—42no—
1288C23—41no—
1289C23—3164no—
1290C23—3168no—
1291C23—794no—
1292C23—794no—
1293C23C24×D7912yes—
1294C23C24×D7911yescharacteristic
1295C23C24×D7914yes—
1296Q8—28no—
1297Q8—42no—
1298Q8—3168no—
1299Q8—3164no—
1300Q8—3164no—
1301Q8—3164no—
1302Q8—1584no—
1303Q8—1584no—
1304D4—28no—
1305D4—42no—
1306D4—44no—
1307D4—48no—
1308D4—3164no—
1309D4—3164no—
1310D4—3164no—
1311D4—3168no—
1312D4—3168no—
1313D4—3164no—
1314D4—3164no—
1315D4—3168no—
1316D4—3164no—
1317D4—3164no—
1318D4—3164no—
1319D4—3164no—
1320D4—3168no—
1321D4—1584no—
1322D4—1584no—
1323C2×C4—24no—
1324C2×C4—22no—
1325C2×C4—24no—
1326C2×C4—24no—
1327C2×C4—24no—
1328C2×C4—28no—
1329C2×C4—42no—
1330C2×C4—42no—
1331C2×C4—42no—
1332C2×C4—42no—
1333C2×C4—41no—
1334C2×C4—48no—
1335C2×C4—3168no—
1336C2×C4—3168no—
1337C2×C4—3164no—
1338C2×C4—3164no—
1339C2×C4—3168no—
1340C2×C4—3164no—
1341C2×C4—3168no—
1342C2×C4—794no—
1343C2×C4—794no—
1344C2×C4—794no—
1345C2×C4—794no—
1346C2×C4—794no—
1347C2×C4—794no—
1348C2×C4—1588no—
1349C2×C4—1588no—
1350C2×C4—1588no—
1351C2×C4—1588no—
1352C2×C4C24×D7912yes—
1353C2×C4C24×D7914yes—
1354C2×C4C24×D7918yes—
1355C2×C4C24×D7912yes—
1356C2×C4C24×D7911yescharacteristic
1357C2×C4C24×D7912yes—
1358C2×C4C24×D7912yes—
1359C2×C4C24×D7912yes—
1360C2×C4C24×D7911yescharacteristic
1361C22—22no—
1362C22—21no—
1363C22—22no—
1364C22—22no—
1365C22—22no—
1366C22—24no—
1367C22—28no—
1368C22—44no—
1369C22—6328no—
1370C22—1584no—
1371C22—1584no—
1372C22—1584no—
1373C22—1584no—
1374C22—1584no—
1375C22—1584no—
1376C22C25×D7911yescharacteristic
1377C4—22no—
1378C4—22no—
1379C4—21no—
1380C4—22no—
1381C4—22no—
1382C4—24no—
1383C4—28no—
1384C4—1584no—
1385C4—1584no—
1386C4—1584no—
1387C4—1584no—
1388C4—1584no—
1389C4—1584no—
1390C4#1909939912yes—
1391C4#1909939914yes—
1392C2—42no—
1393C2—41no—
1394C2—44no—
1395C2—3164no—
1396C2—3164no—
1397C2C2×#1909939912yes—
1398C2C2×#1909939911yescharacteristic
subgroupG/H
centerC2×C4C24×D79
commutator, socle, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC79×#3444C2
hypercenter#3444D79
hypocenterC79#62762
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C2×C4 ◁ #3444

Complements

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

NH ≅ G/Ntype
1. #23778060C2semidirect
2. #23778037C2semidirect
3. #23777980C2semidirect
4. #23777882C2semidirect
5. #23777865C2semidirect
6. #23777783C2semidirect
7. #23777766C2semidirect
8. #23777668C2semidirect
9. #23777656C2semidirect
10. #23777538C2semidirect
11. #23777024C2semidirect
12. #23777018C2semidirect
13. #23777008C2semidirect
14. #23776998C2semidirect
15. #23776962C2semidirect
16. #23776825C2semidirect
17. #23776821C2semidirect
18. #23776785C2semidirect
19. #23776696C2semidirect
20. C79×#3444C2semidirect
21. #19099316C22semidirect
22. #19099314C22semidirect
23. #19099310C22semidirect
24. #19099309C22semidirect
25. #19099308C22semidirect
26. #19099306C22semidirect
27. #19099303C22semidirect
28. #19099302C22semidirect
29. #19099302C22semidirect
31. #19099299C22semidirect
32. #19099296C22semidirect
33. #19099296C22semidirect
34. #19099293C22semidirect
35. #19099289C22semidirect
36. #19099288C22semidirect
37. #19099287C22semidirect
38. #19099285C22semidirect
39. #19099284C22semidirect
40. #19099281C22semidirect
41. #19099281C22semidirect
42. #19099279C22semidirect
43. #19099277C22semidirect
45. #19099275C22semidirect
46. #19099274C22semidirect
47. #19099272C22semidirect
48. #19099263C22semidirect
49. #19099263C22semidirect
50. #19099262C22semidirect
52. #19099257C22semidirect
53. #19099257C22semidirect
54. #19099254C22semidirect
55. #19099252C22semidirect
56. #19099247C22semidirect
57. #19099246C22semidirect
58. #19099245C22semidirect
59. #19099243C22semidirect
60. #19099242C22semidirect
61. #19099237C22semidirect
62. #19099233C22semidirect
64. #19099231C22semidirect
65. #19099228C22semidirect
66. #19099225C22semidirect
68. #19099220C22semidirect
69. #19099216C22semidirect
70. #19099215C22semidirect
71. #19099212C22semidirect
73. #19099208C22semidirect
75. #19099198C22semidirect
76. #19099193C22semidirect
77. #19099193C22semidirect
79. #19099185C22semidirect
80. #19099182C22semidirect
81. #19099182C22semidirect
82. #19099181C22semidirect
83. #19099180C22semidirect
84. #19099179C22semidirect
85. #19099178C22semidirect
86. #19099176C22semidirect
87. #19099173C22semidirect
88. #19099171C22semidirect
89. #19099170C22semidirect
90. #19099169C22semidirect
91. #19099166C22semidirect
92. #19099165C22semidirect
93. #19099164C22semidirect
94. #19099156C22semidirect
95. #19099155C22semidirect
96. #19099155C22semidirect
97. #19099154C22semidirect
98. #19099152C22semidirect
99. #19099149C22semidirect
100. #19099146C22semidirect
101. #19099146C22semidirect
102. #19099143C22semidirect
104. #19099136C22semidirect
105. #19099133C22semidirect
106. #19099131C22semidirect
108. #19099120C22semidirect
109. #19099120C22semidirect
110. #19099120C22semidirect
111. #19099117C22semidirect
112. #19099116C22semidirect
116. #19099110C22semidirect
117. #19099110C22semidirect
118. #19099109C22semidirect
119. #19099100C22semidirect
122. #19099097C22semidirect
123. #19099097C22semidirect
124. #19099097C22semidirect
125. #19099097C22semidirect
126. #19099097C22semidirect
127. #19099097C22semidirect
128. #19099097C22semidirect
129. #19099095C22semidirect
130. #19099095C22semidirect
131. #19099093C22semidirect
132. #19099091C22semidirect
133. #19099091C22semidirect
134. #19099075C22semidirect
136. #19099074C22semidirect
137. #19099074C22semidirect
138. #19099074C22semidirect
139. #19099072C22semidirect
141. C4×#11929625C22semidirect
143. C4×#11929624C22semidirect
144. C4×#11929624C22semidirect
145. C4×#11929624C22semidirect
146. C4×#11929624C22semidirect
147. C4×#11929623C22semidirect
148. C4×Q8×D79C22semidirect
149. C4×D4×D79C22semidirect
150. C2×#14579118C22semidirect
151. #533×C79C22semidirect
152. #533×C79C22semidirect
155. #529×C79C22semidirect
156. #529×C79C22semidirect
157. #529×C79C22semidirect
158. #525×C79C22semidirect
159. #525×C79C22semidirect
160. C4×#41×C79C22semidirect
161. C4×#41×C79C22semidirect
162. C22×C42×C79C22semidirect
719. #3444D79semidirect
720. C79#62762semidirect
813. #533C2×D79semidirect
814. #533C2×D79semidirect
838. #529C2×D79semidirect
839. #529C2×D79semidirect
840. #529C2×D79semidirect
848. #525C2×D79semidirect
849. #525C2×D79semidirect
857. C4×#41C2×D79semidirect
858. C4×#41C2×D79semidirect
862. C22×C42C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780602
#237780372
#237779802
#237778822
#237778652
#237777832
#237777662
#237776682
#237776562
#237775382
#237770242
#237770182
#237770082
#237769982
#237769622
#237768252
#237768212
#237767852
#237766962
C79×#34442
#6276279