Finite Group Databasebeta

← #34307742

Subgroups — #34307742

Order 20224.

740 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23772066C211yesmaximal, characteristic, complemented
2#23771968C211yesmaximal, characteristic, complemented
3#23764113C211yesmaximal, characteristic, complemented
4#23764106C211yesmaximal, characteristic, complemented
5#23764001C211yesmaximal, characteristic, complemented
6#23764001C211yesmaximal, characteristic, complemented
7#23763729C211yesmaximal, characteristic
8#23763729C211yesmaximal, characteristic
9#23763541C211yesmaximal, characteristic, complemented
10#23763420C211yesmaximal, characteristic, complemented
11#23763420C211yesmaximal, characteristic, complemented
12#23763272C211yesmaximal, characteristic, complemented
13#23763247C211yesmaximal, characteristic, complemented
14#23763240C211yesmaximal, characteristic, complemented
15C79×#2943C211yesmaximal, characteristic
16C2×#14579168C2211yescharacteristic
17C2×#14579168C2211yescharacteristic
18#19098624—21no—
19#19098624—21no—
20#19098620—21no—
21#19098616—21no—
22#19098590—21no—
23#19098590—21no—
24#19098590C2211yescharacteristic
25#19098590C2211yescharacteristic
26#19098587—21no—
27#19098587C2211yescharacteristic
28#19098587C2211yescharacteristic
29C2×C4⋊(C79⋊C8)—21no—
30C2×C4⋊(C79⋊C8)C2211yescharacteristic
31C2×#14579088C2211yescharacteristic
32C2×#14579088C2211yescharacteristic
33C2×#14579088C2211yescharacteristic
34C2×#14579088C2211yescharacteristic
35#19098530C2211yescharacteristic
36#19098530C2211yescharacteristic
37#19098519C2211yescharacteristic
38#19098519C2211yescharacteristic
39C2×#14579071C2211yescharacteristic
40C2×C8×Dic79C2211yescharacteristic
41C4×C4⋊Dic79C2211yescharacteristic
42#19098328C2211yescharacteristic
43#19098328C2211yescharacteristic
44#19098328C2211yescharacteristic
45#19098328C2211yescharacteristic
46#19098322C2211yescharacteristic
47#19098322C2211yescharacteristic
48#19098322C2211yescharacteristic
49#19098322C2211yescharacteristic
50#19098317C2211yescharacteristic
51#19098317C2211yescharacteristic
52C2×#135×C79C2211yescharacteristic
53C4×#41×C79C2211yescharacteristic
54C4×#41×C79C2211yescharacteristic
55#442×C79C411yescharacteristic, complemented
56#442×C79C411yescharacteristic, complemented
57#441×C79C411yescharacteristic, complemented
58#441×C79C411yescharacteristic, complemented
59#440×C79C411yescharacteristic, complemented
60#440×C79C411yescharacteristic, complemented
61#440×C79C411yescharacteristic, complemented
62#440×C79C411yescharacteristic, complemented
63#427×C79C2211yescharacteristic
64#416×C79C2211yescharacteristic
65#416×C79C2211yescharacteristic
66C2×#97×C79C2211yescharacteristic
67#14579168—22no—
68#14579168—22no—
69#14579168—41no—
70#14579168—41no—
71C2×#11929608—21no—
72C2×#11929608—21no—
73C2×#11929608C2311yescharacteristic
74C2×#11929608C2311yescharacteristic
75C2×#11929608C2311yescharacteristic
76C2×#11929608C2311yescharacteristic
77C22×C79⋊C8—21no—
78C22×C79⋊C8—21no—
79C22×C79⋊C8C2311yescharacteristic
80C22×C79⋊C8C2311yescharacteristic
81C2×C4⋊Dic79—21no—
82C2×C4×Dic79C2311yescharacteristic
83C2×C4×Dic79C2311yescharacteristic
84C4⋊(C79⋊C8)—21no—
85C4⋊(C79⋊C8)—21no—
86C4⋊(C79⋊C8)—21no—
87C4⋊(C79⋊C8)—21no—
88C4⋊(C79⋊C8)—21no—
89C4⋊(C79⋊C8)—21no—
90C4⋊(C79⋊C8)—21no—
91C4⋊(C79⋊C8)—21no—
92C4⋊(C79⋊C8)D411yescharacteristic
93C4⋊(C79⋊C8)D411yescharacteristic
94C4⋊(C79⋊C8)D411yescharacteristic
95C4⋊(C79⋊C8)D411yescharacteristic
96#14579088—22no—
97#14579088—22no—
98#14579088—41no—
99#14579088—41no—
100C22⋊(C79⋊C8)—21no—
101C22⋊(C79⋊C8)—21no—
102C22⋊(C79⋊C8)—21no—
103C22⋊(C79⋊C8)—21no—
104#14579072—21no—
105#14579072—21no—
106#14579071—41no—
107C4×C79⋊C8—21no—
108C4×C79⋊C8—21no—
109C8×Dic79—41no—
110C79⋊#95—21no—
111C2×#41×C79C2311yescharacteristic
112C2×#41×C79C2311yescharacteristic
113#135×C79—22no—
114#135×C79—22no—
115C2×Q16×C79C2×C411yescharacteristic
116C2×SD16×C79C2×C411yescharacteristic
117C2×SD16×C79C2×C411yescharacteristic
118C2×D8×C79C2×C411yescharacteristic
119C22×C8×C79C2311yescharacteristic
120C22×C8×C79C2311yescharacteristic
121C4×Q8×C79C2×C411yescharacteristic
122C4×Q8×C79C2×C411yescharacteristic
123C4×Q8×C79C2×C411yescharacteristic
124C4×Q8×C79C2×C411yescharacteristic
125C4×D4×C79—21no—
126C4×D4×C79—21no—
127C4×D4×C79—21no—
128C4×D4×C79—21no—
129C4×D4×C79C2×C411yescharacteristic
130C4×D4×C79C2×C411yescharacteristic
131C4×D4×C79C2×C411yescharacteristic
132C4×D4×C79C2×C411yescharacteristic
133#117×C79—21no—
134#117×C79—21no—
135#117×C79C2311yescharacteristic
136#117×C79C2311yescharacteristic
137C2×C42×C79—21no—
138C2×C42×C79—21no—
139C2×C42×C79C2311yescharacteristic
140#107×C79C2×C411yescharacteristic
141#107×C79C2×C411yescharacteristic
142#106×C79C2×C411yescharacteristic
143#106×C79C2×C411yescharacteristic
144#103×C79C2×C411yescharacteristic
145#103×C79C2×C411yescharacteristic
146#103×C79C2×C411yescharacteristic
147#103×C79C2×C411yescharacteristic
148#102×C79C2×C411yescharacteristic
149#102×C79C2×C411yescharacteristic
150#102×C79C2×C411yescharacteristic
151#102×C79C2×C411yescharacteristic
152#97×C79C2×C411yescharacteristic
153#97×C79C2×C411yescharacteristic
154#97×C79C2×C411yescharacteristic
155#97×C79C2×C411yescharacteristic
156C22×Dic79—21no—
157C22×Dic79—21no—
158#11929608—21no—
159#11929608—21no—
160#11929608—21no—
161#11929608—21no—
162#11929608—21no—
163#11929608—21no—
164#11929608—21no—
165#11929608—21no—
166#11929608—42no—
167#11929608—42no—
168C2×C79⋊C8—21no—
169C2×C79⋊C8—21no—
170C2×C79⋊C8—21no—
171C2×C79⋊C8—21no—
172C2×C79⋊C8—21no—
173C2×C79⋊C8—21no—
174C2×C79⋊C8—21no—
175C2×C79⋊C8—21no—
176C2×C79⋊C8—42no—
177C2×C79⋊C8—42no—
178C2×C79⋊C8C2×D411yescharacteristic
179C2×C79⋊C8C2×D411yescharacteristic
180C2×C79⋊C8C2×D411yescharacteristic
181C2×C79⋊C8C2×D411yescharacteristic
182C4⋊Dic79—42no—
183C4×Dic79—21no—
184C4×Dic79—21no—
185C4×Dic79—21no—
186C4×Dic79—21no—
187#41×C79—21no—
188#41×C79—21no—
189#41×C79—21no—
190#41×C79—21no—
191#41×C79—21no—
192#41×C79—21no—
193#41×C79#4112yes—
194#41×C79#4112yes—
195C2×Q8×C79C22×C411yescharacteristic
196C2×Q8×C79C22×C411yescharacteristic
197C2×D4×C79—21no—
198C2×D4×C79—21no—
199C2×D4×C79C22×C411yescharacteristic
200C2×D4×C79C22×C411yescharacteristic
201C22×C4×C79—21no—
202C22×C4×C79—21no—
203C22×C4×C79—21no—
204C22×C4×C79—21no—
205C22×C4×C79—21no—
206C22×C4×C79—21no—
207C22×C4×C79#4111yescharacteristic
208C22×C4×C79#4111yescharacteristic
209C22×C4×C79C2411yescharacteristic
210Q16×C79—22no—
211SD16×C79—22no—
212SD16×C79—22no—
213D8×C79—22no—
214C2×C8×C79—21no—
215C2×C8×C79—21no—
216C2×C8×C79—21no—
217C2×C8×C79—21no—
218C2×C8×C79C22×C411yescharacteristic
219C2×C8×C79C22×C411yescharacteristic
220C2×C8×C79C22×C411yescharacteristic
221C2×C8×C79C22×C411yescharacteristic
222C4⋊C4×C79—21no—
223C4⋊C4×C79—21no—
224C4⋊C4×C79—21no—
225C4⋊C4×C79—21no—
226C4⋊C4×C79C22×C411yescharacteristic
227C4⋊C4×C79C22×C411yescharacteristic
228C4⋊C4×C79C22×C411yescharacteristic
229C4⋊C4×C79C22×C411yescharacteristic
230C22⋊C4×C79—21no—
231C22⋊C4×C79—21no—
232C22⋊C4×C79—21no—
233C22⋊C4×C79—21no—
234C22⋊C4×C79—21no—
235C22⋊C4×C79—21no—
236C42×C79—21no—
237C42×C79—21no—
238C42×C79—21no—
239C42×C79—21no—
240C42×C79—21no—
241C42×C79—21no—
242C42×C79C22×C411yescharacteristic
243C42×C79C22×C411yescharacteristic
244C42×C79C2×D411yescharacteristic
245C42×C79C2×D411yescharacteristic
246C23×C79—21no—
247C23×C79—21no—
248C23×C79C2×#4111yescharacteristic
249Q8×C79—21no—
250Q8×C79—21no—
251Q8×C79—21no—
252Q8×C79#11712yes—
253D4×C79—22no—
254D4×C79—22no—
255D4×C79—21no—
256D4×C79—21no—
257D4×C79—21no—
258D4×C79—41no—
259D4×C79—41no—
260D4×C79#11712yes—
261C2×C4×C79—21no—
262C2×C4×C79—22no—
263C2×C4×C79—22no—
264C2×C4×C79—21no—
265C2×C4×C79—21no—
266C2×C4×C79—21no—
267C2×C4×C79—21no—
268C2×C4×C79—21no—
269C2×C4×C79—41no—
270C2×C4×C79—41no—
271C2×C4×C79—42no—
272C2×C4×C79—42no—
273C2×C4×C79—41no—
274C2×C4×C79—41no—
275C2×C4×C79—81no—
276C2×C4×C79—81no—
277C2×C4×C79C4×D411yescharacteristic
278C2×C4×C79C4×D411yescharacteristic
279C2×C4×C79C4×D411yescharacteristic
280C2×C4×C79C4×D411yescharacteristic
281C2×C4×C79C23×C411yescharacteristic
282C2×C4×C79C22×D411yescharacteristic
283C2×C4×C79C2×#4111yescharacteristic
284C2×C4×C79C2×#4111yescharacteristic
285C2×C4×C79H(5,𝔽2)11yescharacteristic
286C2×C4×C792−1+411yescharacteristic
287C2×Dic79—22no—
288C2×Dic79—41no—
289C2×Dic79—41no—
290C2×Dic79—41no—
291C2×Dic79—41no—
292C2×Dic79—41no—
293C8×C79—21no—
294C8×C79—21no—
295C8×C79—21no—
296C8×C79—21no—
297C79⋊C8—21no—
298C79⋊C8—21no—
299C79⋊C8—21no—
300C79⋊C8—21no—
301C79⋊C8—41no—
302C79⋊C8—41no—
303C79⋊C8—41no—
304C79⋊C8—41no—
305C22×C79—21no—
306C22×C79—21no—
307C22×C79—22no—
308C22×C79—41no—
309C22×C79—41no—
310C22×C79—41no—
311C22×C79—41no—
312C22×C79—41no—
313C22×C79C2×C4×D411yescharacteristic
314C22×C79#55211yescharacteristic
315C22×C79#55311yescharacteristic
316C4×C79—22no—
317C4×C79—21no—
318C4×C79—21no—
319C4×C79—21no—
320C4×C79—21no—
321C4×C79—41no—
322C4×C79—41no—
323C4×C79—41no—
324C4×C79—41no—
325C4×C79—41no—
326C4×C79C2×#11711yescharacteristic
327C4×C79#52011yescharacteristic
328C4×C79#54611yescharacteristic
329C4×C79#54811yescharacteristic
330Dic79—42no—
331Dic79—81no—
332#22784—791nomaximal, Sylow
333C2×C79—21no—
334C2×C79—21no—
335C2×C79—42no—
336C2×C79—81no—
337C2×C79#235211yescharacteristic
338C2×C79#295511yescharacteristic
339C2×C79#295611yescharacteristic
340#2943D7911yescharacteristic
341#2925—791no—
342#2906—791no—
343#1938—791no—
344#1937—791no—
345#1922—791no—
346#1922—791no—
347#1876—791no—
348#1876—791no—
349#1838—791no—
350#1806—791no—
351#1806—791no—
352#1771—791no—
353#1765—791no—
354#1764—791no—
355C79#2278411yescharacteristic, complemented, Sylow
356C2×#135C2×D7911yescharacteristic
357C2×#131—791no—
358C2×#131—791no—
359C4×#41C2×D7911yescharacteristic
360C4×#41C2×D7911yescharacteristic
361#442Dic7911yescharacteristic, complemented
362#442Dic7911yescharacteristic, complemented
363#441Dic7911yescharacteristic, complemented
364#441Dic7911yescharacteristic, complemented
365#440Dic7911yescharacteristic, complemented
366#440Dic7911yescharacteristic, complemented
367#440Dic7911yescharacteristic, complemented
368#440Dic7911yescharacteristic, complemented
369#433—1581no—
370#433—1581no—
371#432—1581no—
372#431—1581no—
373#427C2×D7911yescharacteristic
374#424—791no—
375#424—791no—
376#424—1581no—
377#424—1581no—
378#423—791no—
379#423—791no—
380#423—1581no—
381C2×C4⋊C8—791no—
382C2×C4⋊C8—1581no—
383C2×#104—791no—
384C2×#104—791no—
385C2×#104—791no—
386C2×#104—791no—
387#416C2×D7911yescharacteristic
388#416C2×D7911yescharacteristic
389#408—791no—
390#408—791no—
391#405—791no—
392#405—791no—
393C2×#97—791no—
394C2×#97C2×D7911yescharacteristic
395C2×C4×C8—791no—
396C4×C4⋊C4—791no—
397#341—791no—
398#341—791no—
399#341—791no—
400#341—791no—
401#339—791no—
402#339—791no—
403#339—791no—
404#339—791no—
405#336—791no—
406#336—791no—
407C2×#41C22×D7911yescharacteristic
408C2×#41C22×D7911yescharacteristic
409#135—22no—
410#135—22no—
411C2×Q16C2×Dic7911yescharacteristic
412C2×SD16C2×Dic7911yescharacteristic
413C2×SD16C2×Dic7911yescharacteristic
414C2×D8C2×Dic7911yescharacteristic
415#131—3161no—
416#131—3161no—
417#131—1582no—
418#131—1582no—
419C2×M16—791no—
420C2×M16—791no—
421C2×M16—791no—
422C2×M16—791no—
423C2×M16—1581no—
424C2×M16—1581no—
425C22×C8—791no—
426C22×C8—791no—
427C22×C8—1581no—
428C22×C8—1581no—
429C22×C8C22×D7911yescharacteristic
430C22×C8C22×D7911yescharacteristic
431C4×Q8C2×Dic7911yescharacteristic
432C4×Q8C2×Dic7911yescharacteristic
433C4×Q8C2×Dic7911yescharacteristic
434C4×Q8C2×Dic7911yescharacteristic
435C4×D4—21no—
436C4×D4—21no—
437C4×D4—21no—
438C4×D4—21no—
439C4×D4C2×Dic7911yescharacteristic
440C4×D4C2×Dic7911yescharacteristic
441C4×D4C2×Dic7911yescharacteristic
442C4×D4C2×Dic7911yescharacteristic
443#117—21no—
444#117—21no—
445#117C22×D7911yescharacteristic
446#117C22×D7911yescharacteristic
447C2×C4⋊C4—1581no—
448C2×C42—21no—
449C2×C42—21no—
450C2×C42—791no—
451C2×C42—791no—
452C2×C42C22×D7911yescharacteristic
453#107C2×Dic7911yescharacteristic
454#107C2×Dic7911yescharacteristic
455#106C2×Dic7911yescharacteristic
456#106C2×Dic7911yescharacteristic
457C4⋊C8—791no—
458C4⋊C8—791no—
459C4⋊C8—791no—
460C4⋊C8—791no—
461C4⋊C8—1581no—
462C4⋊C8—1581no—
463C4⋊C8—1581no—
464C4⋊C8—1581no—
465C4⋊C8—1581no—
466C4⋊C8—1581no—
467C4⋊C8—1581no—
468C4⋊C8—1581no—
469#104—3161no—
470#104—3161no—
471#104—1582no—
472#104—1582no—
473#103C2×Dic7911yescharacteristic
474#103C2×Dic7911yescharacteristic
475#103C2×Dic7911yescharacteristic
476#103C2×Dic7911yescharacteristic
477#102C2×Dic7911yescharacteristic
478#102C2×Dic7911yescharacteristic
479#102C2×Dic7911yescharacteristic
480#102C2×Dic7911yescharacteristic
481C22⋊C8—1581no—
482C22⋊C8—1581no—
483C22⋊C8—1581no—
484C22⋊C8—1581no—
485#97—3161no—
486#97—1581no—
487#97—1581no—
488#97C2×Dic7911yescharacteristic
489#97C2×Dic7911yescharacteristic
490#97C2×Dic7911yescharacteristic
491#97C2×Dic7911yescharacteristic
492C4×C8—3161no—
493C4×C8—1581no—
494C4×C8—1581no—
495#95—1581no—
496#41—21no—
497#41—21no—
498#41—21no—
499#41—21no—
500#41—21no—
501#41—21no—
502#41#1192962412yes—
503#41#1192962412yes—
504C2×Q8C22×Dic7911yescharacteristic
505C2×Q8C22×Dic7911yescharacteristic
506C2×D4—21no—
507C2×D4—21no—
508C2×D4C22×Dic7911yescharacteristic
509C2×D4C22×Dic7911yescharacteristic
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—1581no—
517C22×C4—1581no—
518C22×C4#1192962311yescharacteristic
519C22×C4#1192962311yescharacteristic
520C22×C4C23×D7911yescharacteristic
521Q16—22no—
522SD16—22no—
523SD16—22no—
524D8—22no—
525M16—3162no—
526M16—3162no—
527M16—1581no—
528M16—1581no—
529M16—1581no—
530M16—1581no—
531M16—1581no—
532M16—1581no—
533M16—1581no—
534M16—1581no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—3162no—
540C2×C8—3162no—
541C2×C8—791no—
542C2×C8—791no—
543C2×C8—791no—
544C2×C8—791no—
545C2×C8—1581no—
546C2×C8—1581no—
547C2×C8—1581no—
548C2×C8—1581no—
549C2×C8—1581no—
550C2×C8—1581no—
551C2×C8—1581no—
552C2×C8—1581no—
553C2×C8C22×Dic7911yescharacteristic
554C2×C8C22×Dic7911yescharacteristic
555C2×C8C22×Dic7911yescharacteristic
556C2×C8C22×Dic7911yescharacteristic
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—3162no—
562C4⋊C4C22×Dic7911yescharacteristic
563C4⋊C4C22×Dic7911yescharacteristic
564C4⋊C4C22×Dic7911yescharacteristic
565C4⋊C4C22×Dic7911yescharacteristic
566C22⋊C4—21no—
567C22⋊C4—21no—
568C22⋊C4—21no—
569C22⋊C4—21no—
570C22⋊C4—21no—
571C22⋊C4—21no—
572C42—21no—
573C42—21no—
574C42—21no—
575C42—21no—
576C42—21no—
577C42—21no—
578C42—1581no—
579C42—1581no—
580C42—1581no—
581C42—1581no—
582C42C22×Dic7911yescharacteristic
583C42C22×Dic7911yescharacteristic
584C42D4×D7911yescharacteristic
585C42D4×D7911yescharacteristic
586C23—21no—
587C23—21no—
588C23C2×#1192962311yescharacteristic
589Q8—21no—
590Q8—21no—
591Q8—21no—
592Q8#1457912012yes—
593D4—22no—
594D4—22no—
595D4—21no—
596D4—21no—
597D4—21no—
598D4—41no—
599D4—41no—
600D4#1457912012yes—
601C2×C4—21no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—81no—
616C2×C4—81no—
617C2×C4—3161no—
618C2×C4—3161no—
619C2×C4—3161no—
620C2×C4—3161no—
621C2×C4—3161no—
622C2×C4—1582no—
623C2×C4D4×Dic7911yescharacteristic
624C2×C4D4×Dic7911yescharacteristic
625C2×C4D4×Dic7911yescharacteristic
626C2×C4D4×Dic7911yescharacteristic
627C2×C4C23×Dic7911yescharacteristic
628C2×C4C2×D4×D7911yescharacteristic
629C2×C4C2×#1192962411yescharacteristic
630C2×C4C2×#1192962411yescharacteristic
631C2×C4#1457920711yescharacteristic
632C2×C4#1457920811yescharacteristic
633C8—21no—
634C8—21no—
635C8—21no—
636C8—21no—
637C8—3161no—
638C8—3161no—
639C8—3161no—
640C8—3161no—
641C8—1581no—
642C8—1581no—
643C8—1581no—
644C8—1581no—
645C22—21no—
646C22—21no—
647C22—22no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22C2×D4×Dic7911yescharacteristic
654C22#1909925311yescharacteristic
655C22#1909925911yescharacteristic
656C4—22no—
657C4—21no—
658C4—21no—
659C4—21no—
660C4—21no—
661C4—41no—
662C4—41no—
663C4—41no—
664C4—41no—
665C4—41no—
666C4—3162no—
667C4—6321no—
668C4C2×#1457912011yescharacteristic
669C4#1909904611yescharacteristic
670C4#1909920911yescharacteristic
671C4#1909922211yescharacteristic
672C2—21no—
673C2—21no—
674C2—42no—
675C2—81no—
676C2#2376632911yescharacteristic
677C2#2377230311yescharacteristic
678C2#2377231011yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D79
commutatorC2×C4×C79C23×C4
FrattiniC22×C4C23×D79
FittingC79×#2943C2
socleC22×C79C2×C4×D4
prime radicalC2×#135×C79C22
cosocleC22×C4×C79C24
hypercenter#2943D79
hypocenterC79#22784
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #2943

Complements

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

NH ≅ G/Ntype
1. #23772066C2semidirect
2. #23771968C2semidirect
3. #23764113C2semidirect
4. #23764106C2semidirect
5. #23764001C2semidirect
6. #23764001C2semidirect
9. #23763541C2semidirect
10. #23763420C2semidirect
11. #23763420C2semidirect
12. #23763272C2semidirect
13. #23763247C2semidirect
14. #23763240C2semidirect
55. #442×C79C4semidirect
56. #442×C79C4semidirect
57. #441×C79C4semidirect
58. #441×C79C4semidirect
59. #440×C79C4semidirect
60. #440×C79C4semidirect
61. #440×C79C4semidirect
62. #440×C79C4semidirect
355. C79#22784semidirect
361. #442Dic79semidirect
362. #442Dic79semidirect
363. #441Dic79semidirect
364. #441Dic79semidirect
365. #440Dic79semidirect
366. #440Dic79semidirect
367. #440Dic79semidirect
368. #440Dic79semidirect

Maximal subgroups

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

subgroupindex
#237720662
#237719682
#237641132
#237641062
#237640012
#237637292
#237635412
#237634202
#237632722
#237632472
#237632402
C79×#29432
#2278479