Finite Group Databasebeta

← #34305509

Subgroups — #34305509

Order 20224.

982 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19098564C211yesmaximal, characteristic
2#23766275C211yesmaximal, characteristic, complemented
3#23764100C211yesmaximal, characteristic, complemented
4#23764086C211yesmaximal, characteristic, complemented
5#23764024C211yesmaximal, characteristic, complemented
6#23764017C211yesmaximal, characteristic, complemented
7#23763668C211yesmaximal, characteristic, complemented
8#23763654C211yesmaximal, characteristic, complemented
9#23763484C211yesmaximal, characteristic, complemented
10#23763431C211yesmaximal, characteristic, complemented
11#23763340C211yesmaximal, characteristic
12#23763230C211yesmaximal, characteristic, complemented
13C4×#14579085C211yesmaximal, characteristic, complemented
14#23763184C211yesmaximal, characteristic, complemented
15C79×#2341C211yesmaximal, characteristic
16C22×#11929608C2211yescharacteristic
17C22×C4⋊Dic79C2211yescharacteristic
18C2×#14579094C2211yescharacteristic
19C2×#14579092C2211yescharacteristic
20#19098564C418yescomplemented
21C2×#14579085C2211yescharacteristic
22C2×#14579085C2211yescharacteristic
23C2×#14579085C2211yescharacteristic
24C2×#14579085C2211yescharacteristic
25C2×#14579082C2211yescharacteristic
26C2×#14579082C2211yescharacteristic
27C2×#14579082C2211yescharacteristic
28C2×#14579082C2211yescharacteristic
29C2×C22⋊(C79⋊C8)C2211yescharacteristic
30C2×#14579072C2211yescharacteristic
31C2×C4×C79⋊C8C2211yescharacteristic
32#19098461C2211yescharacteristic
33#19098461C2211yescharacteristic
34#19098446—21no—
35#19098446—21no—
36#19098423C2211yescharacteristic
37#19098421—21no—
38C4×C4⋊Dic79C2211yescharacteristic
39C4×C4⋊Dic79C2211yescharacteristic
40C22⋊C4×Dic79—21no—
41#19098325C2211yescharacteristic
42#19098325C2211yescharacteristic
43#19098325C2211yescharacteristic
44#19098325C2211yescharacteristic
45#19098325C2211yescharacteristic
46#19098325C2211yescharacteristic
47#19098318C2211yescharacteristic
48#19098318C2211yescharacteristic
49C22×#41×C79C2211yescharacteristic
50C2×C4×Q8×C79C2211yescharacteristic
51C2×C4×Q8×C79C2211yescharacteristic
52#390×C79—21no—
53#390×C79—21no—
54#390×C79C2211yescharacteristic
55#390×C79C2211yescharacteristic
56#380×C79—21no—
57#380×C79C2211yescharacteristic
58C4×C22⋊C4×C79—21no—
59C4×C22⋊C4×C79C2211yescharacteristic
60C23×Dic79—21no—
61C2×#11929608—41no—
62C2×#11929608—41no—
63C2×#11929608C2×C414yes—
64C22×C79⋊C8C2311yescharacteristic
65C22×C79⋊C8C2311yescharacteristic
66C22×C79⋊C8C2311yescharacteristic
67C22×C79⋊C8C2311yescharacteristic
68C2×C4⋊Dic79—21no—
69C2×C4⋊Dic79—22no—
70C2×C4⋊Dic79C2×C414yes—
71C2×C4⋊Dic79C2311yescharacteristic
72C2×C4⋊Dic79C2311yescharacteristic
73C2×C4⋊Dic79C2311yescharacteristic
74C2×C4⋊Dic79C2311yescharacteristic
75C2×Dic79⋊C4—21no—
76C2×Dic79⋊C4—21no—
77C2×C22⋊Dic79—21no—
78C2×C4×Dic79—21no—
79C2×C4×Dic79—21no—
80#14579094—41no—
81#14579092—41no—
82#14579085—22no—
83#14579085—22no—
84#14579085C2×C414yes—
85#14579085C2×C414yes—
86#14579082—41no—
87#14579082—41no—
88#14579082C2×C414yes—
89#14579082C2×C414yes—
90C22⋊(C79⋊C8)—22no—
91#14579072—41no—
92C4×C79⋊C8—41no—
93C79⋊#95—21no—
94C79⋊#95—21no—
95C79⋊#95—21no—
96C79⋊#95—21no—
97C79⋊#95—21no—
98C2×#41×C79—22no—
99C2×#41×C79—22no—
100C2×#41×C79—22no—
101C2×#41×C79—41no—
102C2×#41×C79—41no—
103C2×#41×C79C2×C414yes—
104C22×Q8×C79C2311yescharacteristic
105C22×D4×C79—21no—
106C22×D4×C79C2311yescharacteristic
107C23×C4×C79—21no—
108C23×C4×C79C2311yescharacteristic
109C4×Q8×C79—22no—
110C4×Q8×C79—22no—
111C4×Q8×C79—41no—
112C4×Q8×C79—41no—
113C2×C4⋊C4×C79—21no—
114C2×C4⋊C4×C79—21no—
115C2×C4⋊C4×C79C2311yescharacteristic
116C2×C4⋊C4×C79C2311yescharacteristic
117C2×C22⋊C4×C79—21no—
118C2×C22⋊C4×C79—21no—
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
127C2×C42×C79C2311yescharacteristic
128#95×C79—21no—
129#95×C79D411yescharacteristic
130#95×C79D411yescharacteristic
131C22×Dic79—24no—
132C22×Dic79—21no—
133C22×Dic79—21no—
134C22×Dic79—21no—
135C22×Dic79—21no—
136C22×Dic79—81no—
137C22×Dic79—81no—
138#11929608—44no—
139C2×C79⋊C8—21no—
140C2×C79⋊C8—21no—
141C2×C79⋊C8—21no—
142C2×C79⋊C8—21no—
143C2×C79⋊C8—21no—
144C2×C79⋊C8—21no—
145C2×C79⋊C8—21no—
146C2×C79⋊C8—21no—
147C2×C79⋊C8—21no—
148C2×C79⋊C8—21no—
149C2×C79⋊C8C22×C412yes—
150C2×C79⋊C8C22×C412yes—
151C4⋊Dic79—24no—
152C4⋊Dic79—21no—
153C4⋊Dic79—21no—
154C4⋊Dic79—21no—
155C4⋊Dic79—21no—
156C4⋊Dic79—21no—
157C4⋊Dic79—21no—
158C4⋊Dic79C22×C412yes—
159C4⋊Dic79C22×C412yes—
160Dic79⋊C4—81no—
161Dic79⋊C4—81no—
162C22⋊Dic79—42no—
163C4×Dic79—81no—
164C4×Dic79—81no—
165C24×C79—21no—
166C24×C79C2×D411yescharacteristic
167#41×C79—28no—
168#41×C79—44no—
169#41×C79—44no—
170#41×C79—44no—
171C2×Q8×C79—21no—
172C2×Q8×C79—21no—
173C2×Q8×C79—21no—
174C2×Q8×C79C22×C412yes—
175C2×Q8×C79#4112yes—
176C2×Q8×C79#4112yes—
177C2×D4×C79—24no—
178C2×D4×C79—21no—
179C2×D4×C79—21no—
180C2×D4×C79—21no—
181C2×D4×C79—21no—
182C2×D4×C79—21no—
183C2×D4×C79—42no—
184C2×D4×C79—42no—
185C2×D4×C79C22×C412yes—
186C22×C4×C79—21no—
187C22×C4×C79—21no—
188C22×C4×C79—21no—
189C22×C4×C79—21no—
190C22×C4×C79—21no—
191C22×C4×C79—24no—
192C22×C4×C79—21no—
193C22×C4×C79—21no—
194C22×C4×C79—42no—
195C22×C4×C79—42no—
196C22×C4×C79C22×C412yes—
197C22×C4×C79C2×D411yescharacteristic
198C22×C4×C79C2×D411yescharacteristic
199C22×C4×C79C2×D411yescharacteristic
200C22×C4×C79C2×D411yescharacteristic
201C22×C4×C79C2×D411yescharacteristic
202C22×C4×C79#4112yes—
203C22×C4×C79C2411yescharacteristic
204C4⋊C4×C79—21no—
205C4⋊C4×C79—21no—
206C4⋊C4×C79—21no—
207C4⋊C4×C79—21no—
208C4⋊C4×C79—42no—
209C4⋊C4×C79—42no—
210C22⋊C4×C79—22no—
211C22⋊C4×C79—41no—
212C22⋊C4×C79—42no—
213C22⋊C4×C79—42no—
214C22⋊C4×C79—81no—
215C22⋊C4×C79—81no—
216C22⋊C4×C79—81no—
217C42×C79—21no—
218C42×C79—21no—
219C42×C79—21no—
220C42×C79—21no—
221C42×C79—42no—
222C42×C79—42no—
223C23×C79—21no—
224C23×C79—21no—
225C23×C79—21no—
226C23×C79—21no—
227C23×C79—21no—
228C23×C79—21no—
229C23×C79—22no—
230C23×C79—41no—
231C23×C79—41no—
232C23×C79—41no—
233C23×C79—41no—
234C23×C79—41no—
235C23×C79—41no—
236C23×C79C4×D412yes—
237C23×C79C22×D411yescharacteristic
238Q8×C79—22no—
239Q8×C79—22no—
240Q8×C79—22no—
241Q8×C79#11714yes—
242D4×C79—22no—
243D4×C79—22no—
244D4×C79—48no—
245D4×C79—41no—
246D4×C79—41no—
247C2×C4×C79—22no—
248C2×C4×C79—21no—
249C2×C4×C79—22no—
250C2×C4×C79—22no—
251C2×C4×C79—21no—
252C2×C4×C79—21no—
253C2×C4×C79—21no—
254C2×C4×C79—22no—
255C2×C4×C79—22no—
256C2×C4×C79—22no—
257C2×C4×C79—22no—
258C2×C4×C79—21no—
259C2×C4×C79—21no—
260C2×C4×C79—21no—
261C2×C4×C79—21no—
262C2×C4×C79—21no—
263C2×C4×C79—21no—
264C2×C4×C79—21no—
265C2×C4×C79—21no—
266C2×C4×C79—21no—
267C2×C4×C79—48no—
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×C79C4×D412yes—
275C2×C4×C79#13712yes—
276C2×C4×C79C23×C411yescharacteristic
277C2×C4×C79C2×#4111yescharacteristic
278C2×C4×C79C2×#4111yescharacteristic
279C2×C4×C79C2×#4111yescharacteristic
280C2×C4×C79H(5,𝔽2)11yescharacteristic
281C2×C4×C79H(5,𝔽2)11yescharacteristic
282C2×Dic79—22no—
283C2×Dic79—22no—
284C2×Dic79—41no—
285C2×Dic79—41no—
286C2×Dic79—41no—
287C2×Dic79—41no—
288C2×Dic79—41no—
289C2×Dic79—41no—
290C2×Dic79—41no—
291C2×Dic79—41no—
292C2×Dic79—41no—
293C2×Dic79—41no—
294C2×Dic79—84no—
295C79⋊C8—22no—
296C79⋊C8—22no—
297C79⋊C8—41no—
298C79⋊C8—41no—
299C22×C79—22no—
300C22×C79—22no—
301C22×C79—22no—
302C22×C79—41no—
303C22×C79—41no—
304C22×C79—41no—
305C22×C79—41no—
306C22×C79—42no—
307C22×C79—42no—
308C22×C79—42no—
309C22×C79—81no—
310C22×C79—81no—
311C22×C79—81no—
312C22×C79—81no—
313C22×C79C2×C4×D411yescharacteristic
314C22×C79#54611yescharacteristic
315C22×C79#54611yescharacteristic
316C22×C79C2×#13711yescharacteristic
317C22×C79#57511yescharacteristic
318C22×C79#57611yescharacteristic
319C22×C79#57711yescharacteristic
320C4×C79—22no—
321C4×C79—24no—
322C4×C79—22no—
323C4×C79—41no—
324C4×C79—41no—
325C4×C79—41no—
326C4×C79—81no—
327C4×C79—81no—
328C4×C79C2×#11711yescharacteristic
329C4×C79#51811yescharacteristic
330C4×C79#55111yescharacteristic
331C4×C79#55111yescharacteristic
332Dic79—42no—
333Dic79—42no—
334Dic79—81no—
335Dic79—81no—
336#22579—791nomaximal, Sylow
337C2×C79—42no—
338C2×C79—82no—
339C2×C79#234211yescharacteristic
340C2×C79C4×#13711yescharacteristic
341C2×C79#294611yescharacteristic
342C2×C79#330911yescharacteristic
343C2×C79#331611yescharacteristic
344C2×C79#332611yescharacteristic
345C2×C79#333311yescharacteristic
346C2×#417—791no—
347#2345—791no—
348#2341D7911yescharacteristic
349#1936—791no—
350#1934—791no—
351#1926—791no—
352#1925—791no—
353#1865—791no—
354#1863—791no—
355#1823—791no—
356#1809—791no—
357#1788—791no—
358#1763—791no—
359C4×#103—791no—
360#1753—791no—
361C79#2257911yescharacteristic, complemented, Sylow
362C22×#41C2×D7911yescharacteristic
363C22×M16—791no—
364C2×C4×Q8C2×D7911yescharacteristic
365C2×C4×Q8C2×D7911yescharacteristic
366C22×C4⋊C4—791no—
367C2×#107—791no—
368C2×#106—791no—
369#417—798no—
370C2×#103—791no—
371C2×#103—791no—
372C2×#103—791no—
373C2×#103—791no—
374C2×#102—791no—
375C2×#102—791no—
376C2×#102—791no—
377C2×#102—791no—
378C2×C22⋊C8—791no—
379C2×#97—791no—
380C2×C4×C8—791no—
381#390—21no—
382#390—21no—
383#390C2×D7911yescharacteristic
384#390C2×D7911yescharacteristic
385#389—791no—
386#389—791no—
387#387—1581no—
388#387—1581no—
389#380—21no—
390#380—791no—
391#380—1581no—
392#380C2×D7911yescharacteristic
393C4×C4⋊C4—791no—
394C4×C4⋊C4—791no—
395C4×C22⋊C4—21no—
396C4×C22⋊C4—1581no—
397C4×C22⋊C4C2×D7911yescharacteristic
398#340—791no—
399#340—791no—
400#340—791no—
401#340—791no—
402#340—791no—
403#340—791no—
404#336—791no—
405#336—791no—
406C2×#41—22no—
407C2×#41—22no—
408C2×#41—22no—
409C2×#41—41no—
410C2×#41—41no—
411C2×#41C4×D7914yes—
412C22×Q8C22×D7911yescharacteristic
413C22×D4—21no—
414C22×D4C22×D7911yescharacteristic
415C23×C4—21no—
416C23×C4—1581no—
417C23×C4C22×D7911yescharacteristic
418C2×M16—3161no—
419C2×M16—3161no—
420C2×M16—794no—
421C22×C8—791no—
422C22×C8—791no—
423C22×C8—791no—
424C22×C8—791no—
425C4×Q8—22no—
426C4×Q8—22no—
427C4×Q8—41no—
428C4×Q8—41no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—794no—
432C2×C4⋊C4—791no—
433C2×C4⋊C4—791no—
434C2×C4⋊C4—791no—
435C2×C4⋊C4—791no—
436C2×C4⋊C4—1581no—
437C2×C4⋊C4—1581no—
438C2×C4⋊C4—1581no—
439C2×C4⋊C4—1582no—
440C2×C4⋊C4C22×D7911yescharacteristic
441C2×C4⋊C4C22×D7911yescharacteristic
442C2×C22⋊C4—21no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—1581no—
448C2×C22⋊C4C22⋊D7911yescharacteristic
449C2×C22⋊C4C22⋊D7911yescharacteristic
450C2×C42—21no—
451C2×C42—21no—
452C2×C42—1581no—
453C2×C42—1581no—
454C2×C42C22×D7911yescharacteristic
455C2×C42C22×D7911yescharacteristic
456#107—3161no—
457#106—3161no—
458#103—794no—
459#103—794no—
460#103—1582no—
461#103—1582no—
462#102—3161no—
463#102—3161no—
464#102—794no—
465#102—794no—
466C22⋊C8—1582no—
467#97—3161no—
468C4×C8—3161no—
469#95—21no—
470#95—1581no—
471#95—1581no—
472#95—1581no—
473#95—1581no—
474#95—1581no—
475#95C22⋊D7911yescharacteristic
476#95C22⋊D7911yescharacteristic
477C24—21no—
478C24C2×C22⋊D7911yescharacteristic
479#41—28no—
480#41—44no—
481#41—44no—
482#41—44no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8C2×C4×D7912yes—
487C2×Q8#1192962312yes—
488C2×Q8#1192962312yes—
489C2×D4—24no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—42no—
496C2×D4—42no—
497C2×D4C2×C4×D7912yes—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—24no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—6321no—
509C22×C4—6321no—
510C22×C4—1581no—
511C22×C4—1581no—
512C22×C4—1581no—
513C22×C4—1581no—
514C22×C4—1584no—
515C22×C4C2×C4×D7912yes—
516C22×C4C2×C22⋊D7911yescharacteristic
517C22×C4C2×C22⋊D7911yescharacteristic
518C22×C4C2×C22⋊D7911yescharacteristic
519C22×C4C2×C22⋊D7911yescharacteristic
520C22×C4C2×C22⋊D7911yescharacteristic
521C22×C4#1192962412yes—
522C22×C4C23×D7911yescharacteristic
523M16—3164no—
524C2×C8—792no—
525C2×C8—792no—
526C2×C8—1581no—
527C2×C8—1581no—
528C2×C8—1581no—
529C2×C8—1581no—
530C2×C8—1581no—
531C2×C8—1581no—
532C2×C8—1581no—
533C2×C8—1581no—
534C2×C8—1581no—
535C2×C8—1581no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—42no—
541C4⋊C4—42no—
542C4⋊C4—792no—
543C4⋊C4—792no—
544C4⋊C4—6321no—
545C4⋊C4—6321no—
546C4⋊C4—1581no—
547C4⋊C4—1581no—
548C4⋊C4—1581no—
549C4⋊C4—1581no—
550C4⋊C4—1581no—
551C4⋊C4—1581no—
552C4⋊C4—1584no—
553C22⋊C4—22no—
554C22⋊C4—41no—
555C22⋊C4—42no—
556C22⋊C4—42no—
557C22⋊C4—81no—
558C22⋊C4—81no—
559C22⋊C4—81no—
560C22⋊C4—3162no—
561C42—21no—
562C42—21no—
563C42—21no—
564C42—21no—
565C42—42no—
566C42—42no—
567C42—6321no—
568C42—6321no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—22no—
576C23—41no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23C4×C22⋊D7912yes—
583C23C22×C22⋊D7911yescharacteristic
584Q8—22no—
585Q8—22no—
586Q8—22no—
587Q8#1457911714yes—
588D4—22no—
589D4—22no—
590D4—48no—
591D4—41no—
592D4—41no—
593C2×C4—21no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—22no—
599C2×C4—21no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—48no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—3161no—
621C2×C4—3161no—
622C2×C4—3161no—
623C2×C4—3161no—
624C2×C4—3161no—
625C2×C4—3161no—
626C2×C4—3161no—
627C2×C4—3161no—
628C2×C4—3161no—
629C2×C4—3161no—
630C2×C4—6324no—
631C2×C4—1582no—
632C2×C4—1582no—
633C2×C4C4×C22⋊D7912yes—
634C2×C4#1457919112yes—
635C2×C4C22×C4×D7911yescharacteristic
636C2×C4C2×#1192962311yescharacteristic
637C2×C4C2×#1192962311yescharacteristic
638C2×C4C2×#1192962411yescharacteristic
639C2×C4#1457920611yescharacteristic
640C2×C4#1457920611yescharacteristic
641C8—3161no—
642C8—3161no—
643C8—1582no—
644C8—1582no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—81no—
656C22—81no—
657C22—81no—
658C22—81no—
659C22C2×C4×C22⋊D7911yescharacteristic
660C22#1909920711yescharacteristic
661C22#1909920711yescharacteristic
662C22C2×#1457919111yescharacteristic
663C22#1909936111yescharacteristic
664C22#1909936611yescharacteristic
665C22#1909937111yescharacteristic
666C4—22no—
667C4—22no—
668C4—24no—
669C4—41no—
670C4—41no—
671C4—41no—
672C4—81no—
673C4—81no—
674C4—3162no—
675C4—3162no—
676C4—6321no—
677C4—6321no—
678C4C2×#1457911711yescharacteristic
679C4#1909903611yescharacteristic
680C4#1909923911yescharacteristic
681C4#1909923911yescharacteristic
682C2—42no—
683C2—82no—
684C2#2376624511yescharacteristic
685C2C4×#1457919111yescharacteristic
686C2#2377222811yescharacteristic
687C2#2377540611yescharacteristic
688C2#2377551111yescharacteristic
689C2#2377565311yescharacteristic
690C2#2377573811yescharacteristic
subgroupG/H
centerC23C22×C22⋊D79
commutatorC2×C4×C79C23×C4
FrattiniC22×C4C23×D79
FittingC79×#2341C2
socleC23×C79C22×D4
prime radicalC22×#41×C79C22
cosocleC22×C4×C79C24
hypercenter#2341D79
hypocenterC79#22579
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2341

Complements

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

NH ≅ G/Ntype
2. #23766275C2semidirect
3. #23764100C2semidirect
4. #23764086C2semidirect
5. #23764024C2semidirect
6. #23764017C2semidirect
7. #23763668C2semidirect
8. #23763654C2semidirect
9. #23763484C2semidirect
10. #23763431C2semidirect
12. #23763230C2semidirect
13. C4×#14579085C2semidirect
14. #23763184C2semidirect
20. #19098564C4semidirect
361. C79#22579semidirect

Maximal subgroups

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

subgroupindex
C2×#190985642
#237662752
#237641002
#237640862
#237640242
#237640172
#237636682
#237636542
#237634842
#237634312
#237633402
#237632302
C4×#145790852
#237631842
C79×#23412
#2257979