Finite Group Databasebeta

← #33092650

Subgroups — #33092650

Order 18688.

1010 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17988833C211yesmaximal, characteristic
2C2×C4×#11924017C211yesmaximal, characteristic, complemented
3#22612624C211yesmaximal, characteristic
4#22612613C211yesmaximal, characteristic, complemented
5#22610812C211yesmaximal, characteristic, complemented
6#22610669C211yesmaximal, characteristic, complemented
7#22610614C211yesmaximal, characteristic, complemented
8#22610607C211yesmaximal, characteristic, complemented
9#22610359C211yesmaximal, characteristic
10#22610354C211yesmaximal, characteristic, complemented
11#22609964C211yesmaximal, characteristic, complemented
12C4×#14556525C211yesmaximal, characteristic, complemented
13#22609762C211yesmaximal, characteristic, complemented
14#22609757C211yesmaximal, characteristic, complemented
15C2×#405×C73C211yesmaximal, characteristic, complemented
16C22×#11924017C2211yescharacteristic
17C2×#14556570C2211yescharacteristic
18C2×#14556565C2211yescharacteristic
19C2×C4×Dic146C2211yescharacteristic
20C2×C4×D292C2211yescharacteristic
21#17988833C418yescomplemented
22C4×#11924017—24no—
23C2×#14556525C2211yescharacteristic
24C2×#14556525C2211yescharacteristic
25C2×#14556523C2211yescharacteristic
26C2×#14556516C2211yescharacteristic
27C2×#14556516C2211yescharacteristic
28C2×#14556516C2211yescharacteristic
29C2×#14556513C2211yescharacteristic
30C2×#14556513C2211yescharacteristic
31C2×#14556513C2211yescharacteristic
32#17988493C2211yescharacteristic
33#17988489C2211yescharacteristic
34#17988487—21no—
35#17988485C2211yescharacteristic
36#17988485C2211yescharacteristic
37#17988482—21no—
38#17988481—21no—
39#17988477—21no—
40#17988475—21no—
41#17988468—21no—
42#17988463—21no—
43#17988458—21no—
44#17988447C2211yescharacteristic
45#17988447C2211yescharacteristic
46C4×C4⋊Dic73C2211yescharacteristic
47C4×C4⋊Dic73C2211yescharacteristic
48#17988350C2211yescharacteristic
49#17988350C2211yescharacteristic
50#17988350C2211yescharacteristic
51#17988350C2211yescharacteristic
52#17988350C2211yescharacteristic
53#17988350C2211yescharacteristic
54C22×M16×C73C2211yescharacteristic
55C23×C8×C73C2211yescharacteristic
56C2×#117×C73C2211yescharacteristic
57#405×C73—24no—
58C2×#97×C73C2211yescharacteristic
59C2×#97×C73C2211yescharacteristic
60C2×C4×C8×C73C2211yescharacteristic
61C2×C4×C8×C73C2211yescharacteristic
62C22×Dic146C2311yescharacteristic
63C22×D292C2311yescharacteristic
64C22×C22⋊D73—21no—
65C22×C4×D73—21no—
66C2×#11924017—22no—
67C2×#11924017—22no—
68C2×#11924017C2×C414yes—
69#14556570—22no—
70#14556570C2×C414yescomplemented
71#14556565—22no—
72#14556565C2×C414yes—
73C4×Dic146—22no—
74C4×Dic146—22no—
75C4×D292—22no—
76C4×D292—22no—
77C2×C4⋊Dic73C2311yescharacteristic
78C2×C4⋊Dic73C2311yescharacteristic
79C2×C4⋊Dic73C2311yescharacteristic
80C2×C4⋊Dic73C2311yescharacteristic
81C2×C4⋊Dic73C2311yescharacteristic
82C2×C4⋊Dic73C2311yescharacteristic
83C2×#11924007—21no—
84C2×#11924007—21no—
85C2×#11924007—21no—
86C2×#11924007—21no—
87C2×C22⋊Dic73—21no—
88C2×C22⋊Dic73—21no—
89C2×C22⋊Dic73—21no—
90C2×#11924005—21no—
91C2×#11924005—21no—
92C2×#11924005—21no—
93C2×#11924005—21no—
94C2×C4×Dic73—21no—
95C2×C4×Dic73—21no—
96C2×C4×Dic73—21no—
97#14556525—22no—
98#14556525C2×C414yescomplemented
99#14556523—22no—
100#14556516—22no—
101#14556516—22no—
102#14556516C2×C414yescomplemented
103#14556513—22no—
104#14556513—22no—
105#14556513C2×C414yes—
106#14556498—21no—
107#14556498—21no—
108#14556498—21no—
109#14556498—21no—
110#14556498—21no—
111#14556498—21no—
112#14556498—21no—
113#14556498—21no—
114C23×C4×C73C2311yescharacteristic
115C2×M16×C73—22no—
116C2×M16×C73—22no—
117C2×M16×C73C2×C414yescomplemented
118C22×C8×C73—22no—
119C22×C8×C73—22no—
120C22×C8×C73—22no—
121C22×C8×C73C2311yescharacteristic
122C22×C8×C73C2311yescharacteristic
123C22×C8×C73C2311yescharacteristic
124C22×C8×C73C2311yescharacteristic
125#117×C73—22no—
126#117×C73—22no—
127C2×C4⋊C4×C73D411yescharacteristic
128C2×C4⋊C4×C73D411yescharacteristic
129C2×C22⋊C4×C73D411yescharacteristic
130C2×C22⋊C4×C73D411yescharacteristic
131C2×C42×C73C2311yescharacteristic
132C2×C42×C73C2311yescharacteristic
133#97×C73—22no—
134#97×C73—22no—
135C4×C8×C73—22no—
136C4×C8×C73D414yescomplemented
137C23×D73—21no—
138C2×Dic146—21no—
139C2×Dic146—21no—
140C2×Dic146—21no—
141C2×Dic146—21no—
142C2×Dic146—21no—
143C2×Dic146C22×C412yes—
144C2×D292—21no—
145C2×D292—21no—
146C2×D292—21no—
147C2×D292—21no—
148C2×D292—21no—
149C2×D292C22×C412yes—
150C2×C22⋊D73—24no—
151C2×C22⋊D73—81no—
152C2×C22⋊D73—81no—
153C22×Dic73—21no—
154C22×Dic73—21no—
155C22×Dic73—21no—
156C22×Dic73—21no—
157C22×Dic73—21no—
158C22×Dic73—21no—
159C22×Dic73—21no—
160C2×C4×D73—42no—
161C2×C4×D73—81no—
162C2×C4×D73—81no—
163#11924017—28no—
164C4⋊Dic73—21no—
165C4⋊Dic73—21no—
166C4⋊Dic73—21no—
167C4⋊Dic73—21no—
168C4⋊Dic73—21no—
169C4⋊Dic73—21no—
170C4⋊Dic73—21no—
171C4⋊Dic73—21no—
172C4⋊Dic73—21no—
173C4⋊Dic73—21no—
174C4⋊Dic73C22×C412yes—
175C4⋊Dic73C22×C412yes—
176#11924007—24no—
177#11924007—42no—
178#11924007—81no—
179#11924007—81no—
180C22⋊Dic73—24no—
181C22⋊Dic73—81no—
182C22⋊Dic73—81no—
183#11924005—24no—
184#11924005—42no—
185#11924005—81no—
186#11924005—81no—
187C4×Dic73—42no—
188C4×Dic73—81no—
189C4×Dic73—81no—
190C24×C73C2×D411yescharacteristic
191C22×C4×C73—21no—
192C22×C4×C73—21no—
193C22×C4×C73—21no—
194C22×C4×C73—21no—
195C22×C4×C73C22×C412yes—
196C22×C4×C73C2×D411yescharacteristic
197C22×C4×C73C2×D411yescharacteristic
198C22×C4×C73C2×D411yescharacteristic
199C22×C4×C73C2×D411yescharacteristic
200C22×C4×C73C2×D411yescharacteristic
201C22×C4×C73#4112yes—
202C22×C4×C73C2411yescharacteristic
203M16×C73—28no—
204C2×C8×C73—28no—
205C2×C8×C73—21no—
206C2×C8×C73—21no—
207C2×C8×C73—21no—
208C2×C8×C73—21no—
209C2×C8×C73—21no—
210C2×C8×C73—21no—
211C2×C8×C73C22×C412yes—
212C2×C8×C73C22×C412yes—
213C2×C8×C73C2×D412yes—
214C2×C8×C73C2×D412yes—
215C2×C8×C73#4112yes—
216C2×C8×C73#4112yes—
217C4⋊C4×C73—22no—
218C4⋊C4×C73—22no—
219C22⋊C4×C73—22no—
220C22⋊C4×C73—22no—
221C42×C73—21no—
222C42×C73—21no—
223C42×C73C2×D412yes—
224C42×C73#4112yes—
225C23×C73—21no—
226C23×C73—21no—
227C23×C73—21no—
228C23×C73—21no—
229C23×C73—21no—
230C23×C73—21no—
231C23×C73C4×D412yes—
232C23×C73C22×D411yescharacteristic
233C22×D73—22no—
234C22×D73—41no—
235C22×D73—41no—
236C22×D73—41no—
237C22×D73—41no—
238C22×D73—41no—
239C22×D73—41no—
240C2×C4×C73—21no—
241C2×C4×C73—21no—
242C2×C4×C73—21no—
243C2×C4×C73—21no—
244C2×C4×C73—21no—
245C2×C4×C73—21no—
246C2×C4×C73—22no—
247C2×C4×C73—22no—
248C2×C4×C73—22no—
249C2×C4×C73—22no—
250C2×C4×C73—21no—
251C2×C4×C73—21no—
252C2×C4×C73—21no—
253C2×C4×C73—21no—
254C2×C4×C73—21no—
255C2×C4×C73—21no—
256C2×C4×C73C4×D412yes—
257C2×C4×C73#12112yes—
258C2×C4×C73#12112yes—
259C2×C4×C73C23×C411yescharacteristic
260C2×C4×C73C22×D411yescharacteristic
261C2×C4×C73C2×#4111yescharacteristic
262C2×C4×C73C2×#4111yescharacteristic
263C2×C4×C73C2×#4111yescharacteristic
264C2×C4×C73C2×#4111yescharacteristic
265C22⋊D73—84no—
266C2×Dic73—22no—
267C2×Dic73—22no—
268C2×Dic73—22no—
269C2×Dic73—41no—
270C2×Dic73—41no—
271C2×Dic73—41no—
272C2×Dic73—41no—
273C2×Dic73—41no—
274C2×Dic73—41no—
275C2×Dic73—41no—
276C2×Dic73—41no—
277C2×Dic73—41no—
278C2×Dic73—41no—
279C2×Dic73—41no—
280C2×Dic73—41no—
281C2×Dic73—41no—
282C2×Dic73—41no—
283C2×Dic73—41no—
284C2×Dic73—41no—
285C2×Dic73—41no—
286C2×Dic73—41no—
287D292—22no—
288D292—22no—
289D292—41no—
290D292—41no—
291C4×D73—84no—
292Dic146—22no—
293Dic146—22no—
294Dic146—41no—
295Dic146—41no—
296C8×C73—22no—
297C8×C73—22no—
298C8×C73—22no—
299C8×C73C4×D414yes—
300C22×C73—22no—
301C22×C73—22no—
302C22×C73—22no—
303C22×C73—41no—
304C22×C73—41no—
305C22×C73—41no—
306C22×C73—41no—
307C22×C73C2×C4×D411yescharacteristic
308C22×C73C2×#12111yescharacteristic
309C22×C73#53211yescharacteristic
310C22×C73#57611yescharacteristic
311C22×C73#57711yescharacteristic
312C22×C73#57711yescharacteristic
313C22×C73#57811yescharacteristic
314C2×D73—42no—
315C2×D73—42no—
316C2×D73—42no—
317C2×D73—81no—
318C2×D73—81no—
319C2×D73—81no—
320C2×D73—81no—
321C4×C73—22no—
322C4×C73—22no—
323C4×C73—22no—
324C4×C73—41no—
325C4×C73—41no—
326C4×C73C2×C4×D411yescharacteristic
327C4×C73C4×#4111yescharacteristic
328C4×C73#52511yescharacteristic
329C4×C73#52911yescharacteristic
330Dic73—42no—
331Dic73—42no—
332Dic73—42no—
333Dic73—81no—
334Dic73—81no—
335Dic73—81no—
336Dic73—81no—
337#21535—731nomaximal, Sylow
338C2×C73—42no—
339C2×C73C4×#12111yescharacteristic
340C2×C73#294611yescharacteristic
341C2×C73#294711yescharacteristic
342C2×C73#305711yescharacteristic
343C2×C73#306111yescharacteristic
344C2×C73#317811yescharacteristic
345C2×C73#317911yescharacteristic
346D73—82no—
347C2×#468—731no—
348C2×C4×SD16—731no—
349C2×#405D7311yescharacteristic, complemented
350#2324—731no—
351#2323—731no—
352#1973—731no—
353#1943—731no—
354#1934—731no—
355#1933—731no—
356#1893—731no—
357#1892—731no—
358#1809—731no—
359C4×#107—731no—
360#1763—731no—
361#1762—731no—
362C73#2153511yescharacteristic, complemented, Sylow
363C22×SD16—731no—
364C22×M16C2×D7311yescharacteristic
365C23×C8C2×D7311yescharacteristic
366C2×C22⋊Q8—731no—
367C2×#121—731no—
368C2×C4×Q8—731no—
369C2×C4×D4—731no—
370C2×#117C2×D7311yescharacteristic
371#468—738no—
372C4×SD16—1464no—
373C2×#107—731no—
374C2×#107—731no—
375C2×#106—731no—
376C2×#103—731no—
377C2×#103—731no—
378C2×#103—731no—
379C2×#102—731no—
380C2×#102—731no—
381C2×#102—731no—
382#405—24no—
383C2×#97C2×D7311yescharacteristic
384C2×#97C2×D7311yescharacteristic
385C2×C4×C8C2×D7311yescharacteristic
386C2×C4×C8C2×D7311yescharacteristic
387#391—731no—
388#390—731no—
389#390—1461no—
390#389—731no—
391#389—731no—
392#389—1461no—
393#388—1461no—
394#388—1461no—
395#388—1461no—
396#387—1461no—
397#386—1461no—
398#385—1461no—
399#380—731no—
400#380—731no—
401C4×C4⋊C4—731no—
402C4×C4⋊C4—731no—
403#340—731no—
404#340—731no—
405#340—731no—
406#340—731no—
407#340—731no—
408#340—731no—
409C22×Q8—731no—
410C22×D4—731no—
411C22×D4—1461no—
412C23×C4—1461no—
413C23×C4C22×D7311yescharacteristic
414C2×SD16—734no—
415C2×SD16—1462no—
416C2×SD16—1462no—
417C2×M16—22no—
418C2×M16—22no—
419C2×M16C4×D7314yescomplemented
420C22×C8—22no—
421C22×C8—22no—
422C22×C8—22no—
423C22×C8C22×D7311yescharacteristic
424C22×C8C22×D7311yescharacteristic
425C22×C8C22×D7311yescharacteristic
426C22×C8C22×D7311yescharacteristic
427C22⋊Q8—734no—
428C22⋊Q8—1462no—
429#121—734no—
430#121—1462no—
431C4×Q8—1462no—
432C4×Q8—1462no—
433C4×D4—1462no—
434C4×D4—1462no—
435#117—22no—
436#117—22no—
437C2×C4⋊C4—731no—
438C2×C4⋊C4—731no—
439C2×C4⋊C4—731no—
440C2×C4⋊C4—731no—
441C2×C4⋊C4—731no—
442C2×C4⋊C4—731no—
443C2×C4⋊C4—1461no—
444C2×C4⋊C4—1461no—
445C2×C4⋊C4—1461no—
446C2×C4⋊C4—1461no—
447C2×C4⋊C4D29211yescharacteristic
448C2×C4⋊C4D29211yescharacteristic
449C2×C22⋊C4—1461no—
450C2×C22⋊C4—1461no—
451C2×C22⋊C4—1461no—
452C2×C22⋊C4—1461no—
453C2×C22⋊C4—1461no—
454C2×C22⋊C4—1461no—
455C2×C22⋊C4—1461no—
456C2×C22⋊C4D29211yescharacteristic
457C2×C22⋊C4D29211yescharacteristic
458C2×C42—1461no—
459C2×C42—1461no—
460C2×C42—1461no—
461C2×C42C22×D7311yescharacteristic
462C2×C42C22×D7311yescharacteristic
463#107—734no—
464#107—1462no—
465#106—1462no—
466#103—734no—
467#103—1462no—
468#103—1462no—
469#102—734no—
470#102—1462no—
471#102—1462no—
472#97—22no—
473#97—22no—
474C4×C8—22no—
475C4×C8C22⋊D7314yescomplemented
476#95—1461no—
477#95—1461no—
478#95—1461no—
479#95—1461no—
480#95—1461no—
481#95—1461no—
482#95—1461no—
483#95—1461no—
484C24—1461no—
485C24C2×D29211yescharacteristic
486C2×Q8—732no—
487C2×Q8—1461no—
488C2×Q8—1461no—
489C2×Q8—1461no—
490C2×Q8—1461no—
491C2×Q8—1461no—
492C2×D4—5841no—
493C2×D4—5841no—
494C2×D4—732no—
495C2×D4—1464no—
496C2×D4—1461no—
497C2×D4—1461no—
498C2×D4—1461no—
499C2×D4—1461no—
500C2×D4—1461no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—2922no—
506C22×C4—5841no—
507C22×C4—5841no—
508C22×C4—1461no—
509C22×C4—1461no—
510C22×C4—1461no—
511C22×C4—1461no—
512C22×C4—1461no—
513C22×C4—1461no—
514C22×C4—1461no—
515C22×C4C2×C4×D7312yes—
516C22×C4C2×D29211yescharacteristic
517C22×C4C2×D29211yescharacteristic
518C22×C4C2×D29211yescharacteristic
519C22×C4C2×D29211yescharacteristic
520C22×C4C2×D29211yescharacteristic
521C22×C4#1192402812yes—
522C22×C4C23×D7311yescharacteristic
523SD16—1468no—
524M16—28no—
525C2×C8—28no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8C2×C4×D7312yes—
533C2×C8C2×C4×D7312yes—
534C2×C8C2×C22⋊D7312yes—
535C2×C8C2×C22⋊D7312yes—
536C2×C8#1192402812yes—
537C2×C8#1192402812yes—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—2922no—
541C4⋊C4—5841no—
542C4⋊C4—5841no—
543C4⋊C4—732no—
544C4⋊C4—732no—
545C4⋊C4—1461no—
546C4⋊C4—1461no—
547C4⋊C4—1461no—
548C4⋊C4—1461no—
549C4⋊C4—1461no—
550C4⋊C4—1461no—
551C4⋊C4—1461no—
552C4⋊C4—1461no—
553C4⋊C4—1464no—
554C4⋊C4—1461no—
555C4⋊C4—1461no—
556C22⋊C4—22no—
557C22⋊C4—22no—
558C22⋊C4—2922no—
559C22⋊C4—5841no—
560C22⋊C4—5841no—
561C22⋊C4—5841no—
562C22⋊C4—5841no—
563C22⋊C4—1464no—
564C22⋊C4—1464no—
565C42—21no—
566C42—21no—
567C42—2922no—
568C42—5841no—
569C42—5841no—
570C42C2×C22⋊D7312yes—
571C42#1192402812yes—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—2921no—
579C23—2921no—
580C23—2921no—
581C23—2921no—
582C23—2921no—
583C23—2921no—
584C23—1462no—
585C23C4×D29212yes—
586C23C22×D29211yescharacteristic
587Q8—2921no—
588Q8—2921no—
589Q8—1462no—
590Q8—1462no—
591D4—2921no—
592D4—2921no—
593D4—5844no—
594D4—1462no—
595D4—1462no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—2921no—
613C2×C4—2921no—
614C2×C4—2921no—
615C2×C4—2921no—
616C2×C4—2921no—
617C2×C4—2921no—
618C2×C4—2921no—
619C2×C4—2921no—
620C2×C4—2921no—
621C2×C4—2921no—
622C2×C4—2921no—
623C2×C4—2921no—
624C2×C4—2921no—
625C2×C4—2921no—
626C2×C4—2921no—
627C2×C4—2921no—
628C2×C4—2921no—
629C2×C4—2921no—
630C2×C4—5844no—
631C2×C4—1462no—
632C2×C4—1462no—
633C2×C4—1462no—
634C2×C4C4×D29212yes—
635C2×C4#1455656512yes—
636C2×C4#1455656512yes—
637C2×C4C22×C4×D7311yescharacteristic
638C2×C4C22×C22⋊D7311yescharacteristic
639C2×C4C2×#1192402811yescharacteristic
640C2×C4C2×#1192402811yescharacteristic
641C2×C4C2×#1192402811yescharacteristic
642C2×C4C2×#1192402811yescharacteristic
643C8—22no—
644C8—22no—
645C8—22no—
646C8C4×C22⋊D7314yes—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22—41no—
654C22—2922no—
655C22—2922no—
656C22—2922no—
657C22—5841no—
658C22—5841no—
659C22—5841no—
660C22—5841no—
661C22C2×C4×D29211yescharacteristic
662C22C2×#1455656511yescharacteristic
663C22#1798913711yescharacteristic
664C22#1798939211yescharacteristic
665C22#1798939911yescharacteristic
666C22#1798939911yescharacteristic
667C22#1798940411yescharacteristic
668C4—22no—
669C4—22no—
670C4—22no—
671C4—41no—
672C4—41no—
673C4—2922no—
674C4—2922no—
675C4—2922no—
676C4—5841no—
677C4—5841no—
678C4—5841no—
679C4—5841no—
680C4C2×C4×C22⋊D7311yescharacteristic
681C4C4×#1192402811yescharacteristic
682C4#1798909811yescharacteristic
683C4#1798912111yescharacteristic
684C2—42no—
685C2—5842no—
686C2C4×#1455656511yescharacteristic
687C2#2261876511yescharacteristic
688C2#2261877611yescharacteristic
689C2#2261957011yescharacteristic
690C2#2261960111yescharacteristic
691C2#2262059911yescharacteristic
692C2#2262061411yescharacteristic
subgroupG/H
centerC23C22×D292
commutatorC2×C4×C73C23×C4
FrattiniC22×C4C23×D73
FittingC2×#405×C73C2
socleC23×C73C22×D4
prime radicalC2×#14556565C22
cosocleC22×C4×C73C24
hypercenterC2×#405D73
hypocenterC73#21535
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#405

Complements

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

NH ≅ G/Ntype
2. C2×C4×#11924017C2semidirect
4. #22612613C2semidirect
5. #22610812C2semidirect
6. #22610669C2semidirect
7. #22610614C2semidirect
8. #22610607C2semidirect
10. #22610354C2semidirect
11. #22609964C2semidirect
12. C4×#14556525C2semidirect
13. #22609762C2semidirect
14. #22609757C2semidirect
15. C2×#405×C73C2semidirect
21. #17988833C4semidirect
70. #14556570C2×C4semidirect
98. #14556525C2×C4semidirect
102. #14556516C2×C4semidirect
117. C2×M16×C73C2×C4semidirect
136. C4×C8×C73D4semidirect
349. C2×#405D73semidirect
362. C73#21535semidirect
419. C2×M16C4×D73semidirect
475. C4×C8C22⋊D73semidirect

Maximal subgroups

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

subgroupindex
C2×#179888332
C2×C4×#119240172
#226126242
#226126132
#226108122
#226106692
#226106142
#226106072
#226103592
#226103542
#226099642
C4×#145565252
#226097622
#226097572
C2×#405×C732
#2153573