Finite Group Databasebeta

← #34348210

Subgroups — #34348210

Order 20224.

896 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19098887C211yesmaximal, characteristic, complemented
2C2×#19098603C211yesmaximal, characteristic, complemented
3#23766818C211yesmaximal, characteristic
4#23764924C211yesmaximal, characteristic, complemented
5#23764882C211yesmaximal, characteristic, complemented
6#23764837C211yesmaximal, characteristic, complemented
7#23764582C211yesmaximal, characteristic, complemented
8#23764027C211yesmaximal, characteristic, complemented
9#23763971C211yesmaximal, characteristic, complemented
10#23763836C211yesmaximal, characteristic, complemented
11#23763717C211yesmaximal, characteristic, complemented
12#23763698C211yesmaximal, characteristic, complemented
13#23763599C211yesmaximal, characteristic, complemented
14#23763597C211yesmaximal, characteristic, complemented
15C79×#2352C211yesmaximal, characteristic, complemented
16C22×#11929608C2211yescharacteristic
17C2×#14579135C2211yescharacteristic
18C2×#14579135C2211yescharacteristic
19C2×#14579120C2211yescharacteristic
20#19098887—24no—
21#19098603—24no—
22C2×#14579094C2211yescharacteristic
23C2×#14579094C2211yescharacteristic
24C2×#14579094C2211yescharacteristic
25C2×#14579092C2211yescharacteristic
26C2×#14579092C2211yescharacteristic
27C2×#14579092C2211yescharacteristic
28C2×#14579081C2211yescharacteristic
29C2×#14579081C2211yescharacteristic
30C2×#14579081C2211yescharacteristic
31C2×#14579081C2211yescharacteristic
32C2×C22⋊(C79⋊C8)C2211yescharacteristic
33C2×C22⋊(C79⋊C8)C2211yescharacteristic
34C2×C22⋊(C79⋊C8)C2211yescharacteristic
35#19098478—21no—
36#19098471—21no—
37#19098465C2211yescharacteristic
38#19098463—21no—
39#19098461C2211yescharacteristic
40#19098453—21no—
41#19098423C2211yescharacteristic
42#19098325C2211yescharacteristic
43#19098325C2211yescharacteristic
44#19098325C2211yescharacteristic
45#19098325C2211yescharacteristic
46#19098325C2211yescharacteristic
47#19098325C2211yescharacteristic
48#19098318C2211yescharacteristic
49#19098318C2211yescharacteristic
50C2×C4×D4×C79C2211yescharacteristic
51C2×#117×C79C2211yescharacteristic
52C22×C4⋊C4×C79C2211yescharacteristic
53#388×C79—21no—
54#387×C79—21no—
55#386×C79—21no—
56#382×C79C2211yescharacteristic
57#380×C79C2211yescharacteristic
58#380×C79C2211yescharacteristic
59C4×C4⋊C4×C79C2211yescharacteristic
60C4×C22⋊C4×C79—21no—
61C22×D316C2311yescharacteristic
62C22×C22⋊D79—21no—
63C22×C22⋊D79—21no—
64C2×#11929608—22no—
65C2×#11929608—22no—
66C2×#11929608—22no—
67C22×C79⋊C8C2311yescharacteristic
68C22×C79⋊C8C2311yescharacteristic
69C22×C79⋊C8C2311yescharacteristic
70C22×C79⋊C8C2311yescharacteristic
71#14579135—22no—
72#14579135—22no—
73#14579135—22no—
74#14579135—41no—
75#14579120—22no—
76#14579120—41no—
77C2×C4⋊Dic79C2311yescharacteristic
78C2×C4⋊Dic79C2311yescharacteristic
79C2×C4⋊Dic79C2311yescharacteristic
80C2×Dic79⋊C4—21no—
81C2×C22⋊Dic79—21no—
82C2×C22⋊Dic79—21no—
83C2×(C2×D79)⋊C4—21no—
84C2×(C2×D79)⋊C4—21no—
85C2×(C2×D79)⋊C4—21no—
86C2×(C2×D79)⋊C4—21no—
87C2×C4×Dic79—21no—
88#14579094—22no—
89#14579094—41no—
90#14579094D414yescomplemented
91#14579092—22no—
92#14579092—22no—
93#14579092—22no—
94#14579081—22no—
95#14579081—22no—
96#14579081—22no—
97#14579081—41no—
98C22⋊(C79⋊C8)—22no—
99C22⋊(C79⋊C8)—22no—
100C22⋊(C79⋊C8)—22no—
101C79⋊#95—21no—
102C79⋊#95—21no—
103C22×D4×C79D411yescharacteristic
104C23×C4×C79—21no—
105C23×C4×C79C2311yescharacteristic
106C23×C4×C79C2311yescharacteristic
107C4×D4×C79—22no—
108C4×D4×C79—22no—
109#117×C79—22no—
110#117×C79—41no—
111C2×C4⋊C4×C79—22no—
112C2×C4⋊C4×C79—21no—
113C2×C4⋊C4×C79—41no—
114C2×C4⋊C4×C79D411yescharacteristic
115C2×C4⋊C4×C79C2311yescharacteristic
116C2×C4⋊C4×C79C2311yescharacteristic
117C2×C4⋊C4×C79C2311yescharacteristic
118C2×C4⋊C4×C79C2311yescharacteristic
119C2×C22⋊C4×C79—21no—
120C2×C22⋊C4×C79—21no—
121C2×C22⋊C4×C79—21no—
122C2×C22⋊C4×C79D411yescharacteristic
123C2×C22⋊C4×C79D411yescharacteristic
124C2×C42×C79—21no—
125C2×C42×C79—21no—
126C2×C42×C79C2311yescharacteristic
127#95×C79—21no—
128#95×C79—21no—
129#95×C79—21no—
130#95×C79—21no—
131#95×C79—21no—
132C23×D79—21no—
133C2×D316—21no—
134C2×D316—21no—
135C2×D316—21no—
136C2×D316—21no—
137C2×D316—21no—
138C2×D316—21no—
139C2×C22⋊D79—42no—
140C2×C22⋊D79—42no—
141C2×C22⋊D79—42no—
142C2×C22⋊D79—81no—
143C2×C22⋊D79—81no—
144C2×C22⋊D79—81no—
145C22×Dic79—21no—
146C22×Dic79—21no—
147C22×Dic79—21no—
148#11929608—28no—
149C2×C79⋊C8—21no—
150C2×C79⋊C8—21no—
151C2×C79⋊C8—21no—
152C2×C79⋊C8—21no—
153C2×C79⋊C8—21no—
154C2×C79⋊C8—21no—
155C2×C79⋊C8—21no—
156C2×C79⋊C8—21no—
157C2×C79⋊C8—21no—
158C2×C79⋊C8—21no—
159C2×C79⋊C8C2×D412yes—
160C2×C79⋊C8#4112yes—
161C4⋊Dic79—21no—
162C4⋊Dic79—21no—
163C4⋊Dic79—21no—
164C4⋊Dic79—21no—
165C4⋊Dic79—21no—
166C4⋊Dic79C2×D412yes—
167Dic79⋊C4—81no—
168C22⋊Dic79—42no—
169C22⋊Dic79—81no—
170(C2×D79)⋊C4—42no—
171(C2×D79)⋊C4—42no—
172(C2×D79)⋊C4—42no—
173(C2×D79)⋊C4—81no—
174C4×Dic79—42no—
175C24×C79C2×D411yescharacteristic
176C24×C79C2×D411yescharacteristic
177C2×D4×C79—22no—
178C2×D4×C79—41no—
179C2×D4×C79—41no—
180C22×C4×C79—21no—
181C22×C4×C79—21no—
182C22×C4×C79—21no—
183C22×C4×C79—21no—
184C22×C4×C79—21no—
185C22×C4×C79—21no—
186C22×C4×C79—21no—
187C22×C4×C79—21no—
188C22×C4×C79—21no—
189C22×C4×C79—21no—
190C22×C4×C79—21no—
191C22×C4×C79—21no—
192C22×C4×C79—21no—
193C22×C4×C79—21no—
194C22×C4×C79—42no—
195C22×C4×C79—42no—
196C22×C4×C79—81no—
197C22×C4×C79C2×D411yescharacteristic
198C22×C4×C79C2×D411yescharacteristic
199C22×C4×C79C2×D411yescharacteristic
200C22×C4×C79C2×D411yescharacteristic
201C22×C4×C79#4112yes—
202C22×C4×C79#4112yes—
203C22×C4×C79C2411yescharacteristic
204C4⋊C4×C79—22no—
205C4⋊C4×C79—21no—
206C4⋊C4×C79—21no—
207C4⋊C4×C79—21no—
208C4⋊C4×C79—21no—
209C4⋊C4×C79—21no—
210C4⋊C4×C79—21no—
211C4⋊C4×C79—21no—
212C4⋊C4×C79—42no—
213C4⋊C4×C79C2×D412yes—
214C22⋊C4×C79—22no—
215C22⋊C4×C79—22no—
216C22⋊C4×C79—42no—
217C22⋊C4×C79—42no—
218C22⋊C4×C79—81no—
219C42×C79—21no—
220C42×C79—21no—
221C42×C79—42no—
222C42×C79—81no—
223C23×C79—21no—
224C23×C79—21no—
225C23×C79—21no—
226C23×C79—21no—
227C23×C79—21no—
228C23×C79—21no—
229C23×C79—21no—
230C23×C79—21no—
231C23×C79—21no—
232C23×C79—21no—
233C23×C79—21no—
234C23×C79—21no—
235C23×C79—21no—
236C23×C79#12312yes—
237C23×C79C22×D411yescharacteristic
238C22×D79—41no—
239C22×D79—41no—
240C22×D79—41no—
241C22×D79—41no—
242C22×D79—41no—
243C22×D79—41no—
244C22×D79—41no—
245D4×C79—44no—
246C2×C4×C79—21no—
247C2×C4×C79—21no—
248C2×C4×C79—22no—
249C2×C4×C79—22no—
250C2×C4×C79—22no—
251C2×C4×C79—22no—
252C2×C4×C79—21no—
253C2×C4×C79—21no—
254C2×C4×C79—21no—
255C2×C4×C79—21no—
256C2×C4×C79—22no—
257C2×C4×C79—21no—
258C2×C4×C79—21no—
259C2×C4×C79—21no—
260C2×C4×C79—21no—
261C2×C4×C79—21no—
262C2×C4×C79—41no—
263C2×C4×C79—41no—
264C2×C4×C79—41no—
265C2×C4×C79—41no—
266C2×C4×C79—41no—
267C2×C4×C79—41no—
268C2×C4×C79—41no—
269C2×C4×C79—41no—
270C2×C4×C79—41no—
271C2×C4×C79—41no—
272C2×C4×C79—41no—
273C2×C4×C79—41no—
274C2×C4×C79—41no—
275C2×C4×C79—41no—
276C2×C4×C79—41no—
277C2×C4×C79—84no—
278C2×C4×C79#12312yes—
279C2×C4×C79C22×D411yescharacteristic
280C2×C4×C79C2×#4111yescharacteristic
281C2×C4×C79C2×#4111yescharacteristic
282C2×C4×C79C2×#4111yescharacteristic
283C2×C4×C79H(5,𝔽2)11yescharacteristic
284C2×C4×C792−1+411yescharacteristic
285C22⋊D79—84no—
286C22⋊D79—84no—
287C2×Dic79—22no—
288C2×Dic79—41no—
289C2×Dic79—41no—
290C2×Dic79—41no—
291C2×Dic79—41no—
292C2×Dic79—41no—
293C2×Dic79—41no—
294C2×Dic79—41no—
295C2×Dic79—41no—
296D316—41no—
297D316—41no—
298D316—41no—
299D316—41no—
300C79⋊C8—22no—
301C79⋊C8—22no—
302C79⋊C8—41no—
303C79⋊C8—41no—
304C22×C79—22no—
305C22×C79—22no—
306C22×C79—22no—
307C22×C79—41no—
308C22×C79—41no—
309C22×C79—41no—
310C22×C79—41no—
311C22×C79—41no—
312C22×C79—41no—
313C22×C79—41no—
314C22×C79—41no—
315C22×C79—41no—
316C22×C79—41no—
317C22×C79—41no—
318C22×C79C2×#12311yescharacteristic
319C22×C79D4211yescharacteristic
320C22×C79#54711yescharacteristic
321C22×C79#57511yescharacteristic
322C22×C79#57511yescharacteristic
323C22×C79#57611yescharacteristic
324C22×C79#57711yescharacteristic
325C2×D79—81no—
326C2×D79—81no—
327C2×D79—81no—
328C2×D79—81no—
329C2×D79—81no—
330C2×D79—81no—
331C2×D79—81no—
332C4×C79—22no—
333C4×C79—41no—
334C4×C79—41no—
335C4×C79—41no—
336C4×C79—42no—
337C4×C79—81no—
338C4×C79—81no—
339C4×C79—81no—
340C4×C79#52511yescharacteristic
341C4×C79#53911yescharacteristic
342C4×C79#54811yescharacteristic
343C4×C79#55311yescharacteristic
344Dic79—42no—
345Dic79—81no—
346Dic79—81no—
347#26156—791nomaximal, Sylow
348C2×C79—42no—
349C2×C79—81no—
350C2×C79#244311yescharacteristic
351C2×C79#309311yescharacteristic
352C2×C79#309611yescharacteristic
353C2×C79#327111yescharacteristic
354C2×C79#327311yescharacteristic
355C2×C79#334711yescharacteristic
356C2×C79#335111yescharacteristic
357D79—161no—
358C2×#482—791no—
359C2×#428—791no—
360#2414—791no—
361#2352D7911yescharacteristic, complemented
362#2092—791no—
363#2085—791no—
364#2077—791no—
365#2033—791no—
366#1926—791no—
367#1918—791no—
368#1895—791no—
369#1874—791no—
370#1870—791no—
371#1854—791no—
372#1854—791no—
373C79#2615611yescharacteristic, complemented, Sylow
374C22×M16—791no—
375C2×#121—791no—
376C2×#121—791no—
377C2×C4×D4C2×D7911yescharacteristic
378C2×#117—791no—
379C2×#117C2×D7911yescharacteristic
380C22×C4⋊C4C2×D7911yescharacteristic
381#482—1584no—
382#428—1584no—
383C2×#107—791no—
384C2×#107—791no—
385C2×#107—791no—
386C2×#106—791no—
387C2×#106—791no—
388C2×#106—791no—
389C2×#102—791no—
390C2×#102—791no—
391C2×#102—791no—
392C2×#102—791no—
393C2×C22⋊C8—791no—
394C2×C22⋊C8—791no—
395C2×C22⋊C8—791no—
396#394—1581no—
397#392—1581no—
398#390—791no—
399#390—1581no—
400#389—791no—
401#388—21no—
402#388—1581no—
403#387—21no—
404#386—21no—
405#382C2×D7911yescharacteristic
406#380—791no—
407#380C2×D7911yescharacteristic
408#380C2×D7911yescharacteristic
409C4×C4⋊C4C2×D7911yescharacteristic
410C4×C22⋊C4—21no—
411#340—791no—
412#340—791no—
413#340—791no—
414#340—791no—
415#340—791no—
416#340—791no—
417#336—791no—
418#336—791no—
419C22×D4—791no—
420C22×D4—1581no—
421C22×D4—1581no—
422C22×D4C22⋊D7911yescharacteristic
423C23×C4—21no—
424C23×C4C22×D7911yescharacteristic
425C23×C4C22×D7911yescharacteristic
426C2×M16—1582no—
427C2×M16—1582no—
428C2×M16—1582no—
429C22×C8—791no—
430C22×C8—791no—
431C22×C8—791no—
432C22×C8—791no—
433#121—3161no—
434#121—1582no—
435#121—1582no—
436#121—1582no—
437C4×D4—22no—
438C4×D4—22no—
439#117—22no—
440#117—41no—
441#117—3161no—
442#117—1582no—
443C2×C4⋊C4—22no—
444C2×C4⋊C4—21no—
445C2×C4⋊C4—41no—
446C2×C4⋊C4—791no—
447C2×C4⋊C4—791no—
448C2×C4⋊C4—791no—
449C2×C4⋊C4—1581no—
450C2×C4⋊C4C22⋊D7911yescharacteristic
451C2×C4⋊C4C22×D7911yescharacteristic
452C2×C4⋊C4C22×D7911yescharacteristic
453C2×C4⋊C4C22×D7911yescharacteristic
454C2×C4⋊C4C22×D7911yescharacteristic
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—21no—
458C2×C22⋊C4—1581no—
459C2×C22⋊C4—1581no—
460C2×C22⋊C4—1581no—
461C2×C22⋊C4—1581no—
462C2×C22⋊C4—1581no—
463C2×C22⋊C4—1581no—
464C2×C22⋊C4C22⋊D7911yescharacteristic
465C2×C22⋊C4C22⋊D7911yescharacteristic
466C2×C42—21no—
467C2×C42—21no—
468C2×C42—1581no—
469C2×C42C22×D7911yescharacteristic
470#107—3161no—
471#107—794no—
472#107—1582no—
473#106—1582no—
474#106—1582no—
475#106—1582no—
476#102—3161no—
477#102—1582no—
478#102—1582no—
479#102—1582no—
480C22⋊C8—1582no—
481C22⋊C8—1582no—
482C22⋊C8—1582no—
483#95—21no—
484#95—21no—
485#95—21no—
486#95—21no—
487#95—21no—
488#95—1581no—
489#95—1581no—
490C24—1581no—
491C24C2×C22⋊D7911yescharacteristic
492C24C2×C22⋊D7911yescharacteristic
493C2×D4—22no—
494C2×D4—41no—
495C2×D4—41no—
496C2×D4—3162no—
497C2×D4—3162no—
498C2×D4—3162no—
499C2×D4—6321no—
500C2×D4—6321no—
501C2×D4—6321no—
502C2×D4—1581no—
503C2×D4—1581no—
504C2×D4—1581no—
505C2×D4—1581no—
506C2×D4—1581no—
507C2×D4—1581no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—81no—
525C22×C4—1581no—
526C22×C4—1581no—
527C22×C4—1581no—
528C22×C4C2×C22⋊D7911yescharacteristic
529C22×C4C2×C22⋊D7911yescharacteristic
530C22×C4C2×C22⋊D7911yescharacteristic
531C22×C4C2×C22⋊D7911yescharacteristic
532C22×C4#1192962412yes—
533C22×C4#1192962412yes—
534C22×C4C23×D7911yescharacteristic
535M16—1588no—
536C2×C8—792no—
537C2×C8—792no—
538C2×C8—1581no—
539C2×C8—1581no—
540C2×C8—1581no—
541C2×C8—1581no—
542C2×C8—1581no—
543C2×C8—1581no—
544C2×C8—1581no—
545C2×C8—1581no—
546C2×C8—1581no—
547C2×C8—1581no—
548C4⋊C4—21no—
549C4⋊C4—22no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—42no—
557C4⋊C4—792no—
558C4⋊C4—6321no—
559C4⋊C4—1581no—
560C4⋊C4—1581no—
561C4⋊C4—1581no—
562C4⋊C4—1581no—
563C4⋊C4—1581no—
564C4⋊C4D4×D7912yes—
565C22⋊C4—22no—
566C22⋊C4—22no—
567C22⋊C4—42no—
568C22⋊C4—42no—
569C22⋊C4—81no—
570C22⋊C4—3162no—
571C22⋊C4—3162no—
572C22⋊C4—3162no—
573C22⋊C4—3162no—
574C22⋊C4—6321no—
575C22⋊C4—6321no—
576C42—21no—
577C42—21no—
578C42—42no—
579C42—81no—
580C42—3162no—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—3161no—
595C23—3161no—
596C23—3161no—
597C23—3161no—
598C23—3161no—
599C23—3161no—
600C23—3161no—
601C23#1457914412yes—
602C23C22×C22⋊D7911yescharacteristic
603D4—44no—
604D4—3161no—
605D4—3161no—
606D4—3161no—
607D4—3161no—
608D4—6324no—
609D4—6324no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—21no—
617C2×C4—22no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—84no—
642C2×C4—3161no—
643C2×C4—3161no—
644C2×C4—3161no—
645C2×C4—3161no—
646C2×C4—3161no—
647C2×C4—3161no—
648C2×C4—3161no—
649C2×C4—3161no—
650C2×C4—1582no—
651C2×C4#1457914412yes—
652C2×C4C2×D4×D7911yescharacteristic
653C2×C4#41×D7911yescharacteristic
654C2×C4C2×#1192962411yescharacteristic
655C2×C4C2×#1192962411yescharacteristic
656C2×C4#1457920611yescharacteristic
657C2×C4#1457920811yescharacteristic
658C8—3161no—
659C8—3161no—
660C8—1582no—
661C8—1582no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—6321no—
677C22—6321no—
678C22—6321no—
679C22—6321no—
680C22—6321no—
681C22—6321no—
682C22—6321no—
683C22C2×#1457914411yescharacteristic
684C22D4×C22⋊D7911yescharacteristic
685C22#1909921211yescharacteristic
686C22#1909936111yescharacteristic
687C22#1909936111yescharacteristic
688C22#1909936611yescharacteristic
689C22#1909937111yescharacteristic
690C4—22no—
691C4—42no—
692C4—41no—
693C4—41no—
694C4—41no—
695C4—81no—
696C4—81no—
697C4—81no—
698C4—3162no—
699C4—6321no—
700C4—6321no—
701C4#1909907211yescharacteristic
702C4#1909915511yescharacteristic
703C4#1909922211yescharacteristic
704C4#1909926211yescharacteristic
705C2—42no—
706C2—81no—
707C2—12641no—
708C2#2376712911yescharacteristic
709C2#2377333111yescharacteristic
710C2#2377335811yescharacteristic
711C2#2377498611yescharacteristic
712C2#2377500711yescharacteristic
713C2#2377589411yescharacteristic
714C2#2377596011yescharacteristic
subgroupG/H
centerC23C22×C22⋊D79
commutator, cosocleC22×C4×C79C24
FrattiniC22×C4C23×D79
FittingC79×#2352C2
socleC23×C79C22×D4
prime radical#23766818C2
hypercenter#2352D79
hypocenterC79#26156
LCSG ▷ C22×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2352

Complements

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

NH ≅ G/Ntype
1. C2×#19098887C2semidirect
2. C2×#19098603C2semidirect
4. #23764924C2semidirect
5. #23764882C2semidirect
6. #23764837C2semidirect
7. #23764582C2semidirect
8. #23764027C2semidirect
9. #23763971C2semidirect
10. #23763836C2semidirect
11. #23763717C2semidirect
12. #23763698C2semidirect
13. #23763599C2semidirect
14. #23763597C2semidirect
15. C79×#2352C2semidirect
90. #14579094D4semidirect
361. #2352D79semidirect
373. C79#26156semidirect

Maximal subgroups

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

subgroupindex
C2×#190988872
C2×#190986032
#237668182
#237649242
#237648822
#237648372
#237645822
#237640272
#237639712
#237638362
#237637172
#237636982
#237635992
#237635972
C79×#23522
#2615679