Finite Group Databasebeta

← #33108569

Subgroups — #33108569

Order 18688.

1066 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17988816C211yesmaximal, characteristic
2C2×C4×#11924017C211yesmaximal, characteristic, complemented
3C22×#14556523C211yesmaximal, characteristic, complemented
4#22612945C211yesmaximal, characteristic
5#22612934C211yesmaximal, characteristic, complemented
6#22610785C211yesmaximal, characteristic, complemented
7#22610659C211yesmaximal, characteristic, complemented
8#22610566C211yesmaximal, characteristic, complemented
9#22610559C211yesmaximal, characteristic, complemented
10#22610246C211yesmaximal, characteristic
11#22610236C211yesmaximal, characteristic, complemented
12#22610202C211yesmaximal, characteristic, complemented
13#22610195C211yesmaximal, characteristic, complemented
14C4×#14556523C211yesmaximal, characteristic, complemented
15C8×C22⋊C4×C73C211yesmaximal, characteristic, complemented
16C22×#11924017C2211yescharacteristic
17C2×#14556570C2211yescharacteristic
18C2×#14556565C2211yescharacteristic
19C2×C4×Dic146C2211yescharacteristic
20C2×C4×D292C2211yescharacteristic
21C2×#14556551—21no—
22C22×C4⋊Dic73C2211yescharacteristic
23C22×C4⋊Dic73C2211yescharacteristic
24#17988816C418yescomplemented
25C4×#11924017—24no—
26C2×#14556523—24no—
27C2×#14556523C2211yescharacteristic
28C2×#14556523C2211yescharacteristic
29C2×#14556523C2211yescharacteristic
30C2×#14556523C2211yescharacteristic
31C2×#14556523C2211yescharacteristic
32C2×#14556516C2211yescharacteristic
33C2×#14556516C2211yescharacteristic
34C2×#14556516C2211yescharacteristic
35C2×#14556513C2211yescharacteristic
36C2×#14556513C2211yescharacteristic
37C2×#14556513C2211yescharacteristic
38#17988493C2211yescharacteristic
39#17988489C2211yescharacteristic
40#17988485C2211yescharacteristic
41#17988485C2211yescharacteristic
42#17988484—21no—
43#17988479—21no—
44#17988474—21no—
45#17988464—21no—
46#17988461—21no—
47#17988459—21no—
48C4×C4⋊Dic73C2211yescharacteristic
49C4×C4⋊Dic73C2211yescharacteristic
50C22⋊C4×Dic73—21no—
51#17988350C2211yescharacteristic
52#17988350C2211yescharacteristic
53#17988350C2211yescharacteristic
54#17988350C2211yescharacteristic
55C23×C8×C73C2211yescharacteristic
56C2×C22⋊C8×C73C2211yescharacteristic
57C2×C4×C8×C73C2211yescharacteristic
58C2×C4×C8×C73C2211yescharacteristic
59C4×C22⋊C4×C73C2211yescharacteristic
60#336×C73C2211yescharacteristic
61#336×C73C2211yescharacteristic
62C22×Dic146C2311yescharacteristic
63C22×D292C2311yescharacteristic
64C22×C22⋊D73—21no—
65C23×Dic73—21no—
66C23×Dic73—21no—
67C22×C4×D73—21no—
68C2×#11924017—22no—
69C2×#11924017—22no—
70C2×#11924017C2×C414yescomplemented
71#14556570—22no—
72#14556570C2×C414yescomplemented
73#14556565—22no—
74#14556565C2×C414yes—
75C4×Dic146—22no—
76C4×Dic146—41no—
77C4×D292—22no—
78C4×D292—41no—
79#14556551—44no—
80C2×C4⋊Dic73—22no—
81C2×C4⋊Dic73—22no—
82C2×C4⋊Dic73—21no—
83C2×C4⋊Dic73—21no—
84C2×C4⋊Dic73—41no—
85C2×C4⋊Dic73—41no—
86C2×C4⋊Dic73C2311yescharacteristic
87C2×C4⋊Dic73C2311yescharacteristic
88C2×C4⋊Dic73C2311yescharacteristic
89C2×C4⋊Dic73C2311yescharacteristic
90C2×C4⋊Dic73C2311yescharacteristic
91C2×C4⋊Dic73C2311yescharacteristic
92C2×#11924007—21no—
93C2×#11924007—21no—
94C2×#11924007—21no—
95C2×#11924007—21no—
96C2×C22⋊Dic73—21no—
97C2×#11924005—21no—
98C2×#11924005—21no—
99C2×#11924005—21no—
100C2×#11924005—21no—
101C2×C4×Dic73—21no—
102C2×C4×Dic73—21no—
103C2×C4×Dic73—21no—
104#14556523—22no—
105#14556523—22no—
106#14556523—22no—
107#14556523C2×C414yescomplemented
108#14556523D414yescomplemented
109#14556516—22no—
110#14556516—41no—
111#14556516C2×C414yescomplemented
112#14556513—22no—
113#14556513—41no—
114#14556513C2×C414yescomplemented
115#14556498—21no—
116#14556498—21no—
117#14556498—21no—
118#14556498—21no—
119#14556498—21no—
120#14556498—21no—
121C23×C4×C73C2311yescharacteristic
122C22×C8×C73—22no—
123C22×C8×C73—22no—
124C22×C8×C73C2×C414yescomplemented
125C22×C8×C73C2311yescharacteristic
126C22×C8×C73C2311yescharacteristic
127C22×C8×C73C2311yescharacteristic
128C22×C8×C73C2311yescharacteristic
129C2×C22⋊C4×C73D411yescharacteristic
130C2×C22⋊C4×C73D411yescharacteristic
131C2×C42×C73C2311yescharacteristic
132C2×C42×C73C2311yescharacteristic
133C22⋊C8×C73—22no—
134C4×C8×C73—22no—
135C4×C8×C73—22no—
136#95×C73D411yescharacteristic
137#95×C73D411yescharacteristic
138C23×D73—21no—
139C2×Dic146—21no—
140C2×Dic146—21no—
141C2×Dic146—21no—
142C2×Dic146—21no—
143C2×Dic146—21no—
144C2×Dic146C22×C412yes—
145C2×D292—21no—
146C2×D292—21no—
147C2×D292—21no—
148C2×D292—21no—
149C2×D292—21no—
150C2×D292C22×C412yes—
151C2×C22⋊D73—24no—
152C2×C22⋊D73—42no—
153C2×C22⋊D73—42no—
154C22×Dic73—21no—
155C22×Dic73—21no—
156C22×Dic73—21no—
157C22×Dic73—21no—
158C22×Dic73—21no—
159C22×Dic73—21no—
160C22×Dic73—21no—
161C22×Dic73—42no—
162C22×Dic73—42no—
163C22×Dic73—42no—
164C22×Dic73—42no—
165C22×Dic73—81no—
166C22×Dic73—81no—
167C2×C4×D73—42no—
168C2×C4×D73—42no—
169C2×C4×D73—81no—
170#11924017—28no—
171C4⋊Dic73—21no—
172C4⋊Dic73—21no—
173C4⋊Dic73—21no—
174C4⋊Dic73—21no—
175C4⋊Dic73—21no—
176C4⋊Dic73—21no—
177C4⋊Dic73—21no—
178C4⋊Dic73—21no—
179C4⋊Dic73—42no—
180C4⋊Dic73—42no—
181C4⋊Dic73C22×C412yes—
182C4⋊Dic73C22×C412yes—
183C4⋊Dic73C2×D412yes—
184C4⋊Dic73C2×D412yes—
185#11924007—24no—
186#11924007—42no—
187#11924007—42no—
188#11924007—81no—
189C22⋊Dic73—24no—
190#11924005—24no—
191#11924005—42no—
192#11924005—42no—
193#11924005—81no—
194C4×Dic73—42no—
195C4×Dic73—42no—
196C4×Dic73—81no—
197C24×C73C2×D411yescharacteristic
198C22×C4×C73—21no—
199C22×C4×C73—21no—
200C22×C4×C73—21no—
201C22×C4×C73—21no—
202C22×C4×C73C22×C412yes—
203C22×C4×C73C2×D411yescharacteristic
204C22×C4×C73C2×D411yescharacteristic
205C22×C4×C73C2×D411yescharacteristic
206C22×C4×C73C2×D411yescharacteristic
207C22×C4×C73C2×D411yescharacteristic
208C22×C4×C73#4112yes—
209C22×C4×C73C2411yescharacteristic
210C2×C8×C73—21no—
211C2×C8×C73—21no—
212C2×C8×C73—28no—
213C2×C8×C73—21no—
214C2×C8×C73—21no—
215C2×C8×C73—21no—
216C2×C8×C73—21no—
217C2×C8×C73—21no—
218C2×C8×C73—21no—
219C2×C8×C73C22×C412yes—
220C2×C8×C73C22×C412yes—
221C2×C8×C73C2×D412yes—
222C2×C8×C73#4112yes—
223C22⋊C4×C73—22no—
224C22⋊C4×C73SD1614yescomplemented
225C42×C73—21no—
226C42×C73—21no—
227C42×C73—21no—
228C42×C73—21no—
229C23×C73—21no—
230C23×C73—21no—
231C23×C73—21no—
232C23×C73—21no—
233C23×C73C4×D412yes—
234C23×C73C2×SD1612yes—
235C23×C73#13512yes—
236C23×C73C22×D411yescharacteristic
237C22×D73—22no—
238C22×D73—41no—
239C22×D73—41no—
240C22×D73—41no—
241C22×D73—41no—
242C22×D73—41no—
243C22×D73—41no—
244C2×C4×C73—21no—
245C2×C4×C73—21no—
246C2×C4×C73—21no—
247C2×C4×C73—21no—
248C2×C4×C73—21no—
249C2×C4×C73—21no—
250C2×C4×C73—22no—
251C2×C4×C73—22no—
252C2×C4×C73—22no—
253C2×C4×C73—22no—
254C2×C4×C73—21no—
255C2×C4×C73—21no—
256C2×C4×C73—21no—
257C2×C4×C73—21no—
258C2×C4×C73—21no—
259C2×C4×C73—21no—
260C2×C4×C73C4×D412yes—
261C2×C4×C73C2×SD1612yes—
262C2×C4×C73C2×SD1612yes—
263C2×C4×C73C23×C411yescharacteristic
264C2×C4×C73C22×D411yescharacteristic
265C2×C4×C73C2×#4111yescharacteristic
266C2×C4×C73C2×#4111yescharacteristic
267C2×C4×C73H(5,𝔽2)11yescharacteristic
268C2×C4×C732−1+411yescharacteristic
269C22⋊D73—48no—
270C2×Dic73—22no—
271C2×Dic73—22no—
272C2×Dic73—22no—
273C2×Dic73—22no—
274C2×Dic73—22no—
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—
287C2×Dic73—41no—
288C2×Dic73—41no—
289C2×Dic73—41no—
290C2×Dic73—41no—
291C2×Dic73—84no—
292C2×Dic73—84no—
293D292—22no—
294D292—22no—
295D292—41no—
296D292—41no—
297C4×D73—84no—
298Dic146—22no—
299Dic146—22no—
300Dic146—41no—
301Dic146—41no—
302C8×C73—22no—
303C8×C73—41no—
304C8×C73—41no—
305C8×C73C4×D414yescomplemented
306C22×C73—22no—
307C22×C73—22no—
308C22×C73—22no—
309C22×C73—22no—
310C22×C73—22no—
311C22×C73—22no—
312C22×C73C4×SD1614yescomplemented
313C22×C73C2×C4×D411yescharacteristic
314C22×C73D4211yescharacteristic
315C22×C73#54711yescharacteristic
316C22×C73C22×SD1611yescharacteristic
317C22×C73C2×#13511yescharacteristic
318C22×C73#57711yescharacteristic
319C22×C73#57711yescharacteristic
320C2×D73—42no—
321C2×D73—42no—
322C2×D73—42no—
323C2×D73—81no—
324C2×D73—81no—
325C2×D73—81no—
326C2×D73—81no—
327C4×C73—22no—
328C4×C73—22no—
329C4×C73—22no—
330C4×C73—41no—
331C4×C73—41no—
332C4×C73C2×C4×D411yescharacteristic
333C4×C73#52011yescharacteristic
334C4×C73#54811yescharacteristic
335C4×C73#55311yescharacteristic
336Dic73—42no—
337Dic73—42no—
338Dic73—42no—
339Dic73—42no—
340Dic73—42no—
341Dic73—81no—
342Dic73—81no—
343#23022—731nomaximal, Sylow
344C2×C73—24no—
345C2×C73#236111yescharacteristic
346C2×C73C2×C4×SD1611yescharacteristic
347C2×C73#295211yescharacteristic
348C2×C73D4×SD1611yescharacteristic
349C2×C73#328211yescharacteristic
350C2×C73#333511yescharacteristic
351C2×C73#333711yescharacteristic
352D73—82no—
353C2×#465—731no—
354C2×C4×SD16—731no—
355C22×#106—731no—
356#2361—731no—
357#2360—731no—
358#1968—731no—
359#1941—731no—
360#1927—731no—
361#1926—731no—
362#1874—731no—
363#1872—731no—
364#1865—731no—
365#1864—731no—
366C4×#106—731no—
367C8×C22⋊C4D7311yescharacteristic, complemented
368C73#2302211yescharacteristic, complemented, Sylow
369C22×SD16—731no—
370C23×C8C2×D7311yescharacteristic
371C2×C22⋊Q8—731no—
372C2×#121—731no—
373C2×C4×Q8—731no—
374C2×C4×D4—731no—
375C2×C4×D4—1461no—
376C22×C4⋊C4—731no—
377C22×C4⋊C4—731no—
378#465—738no—
379C4×SD16—1464no—
380C2×#106—731no—
381C2×#106—731no—
382C2×#106—731no—
383C2×#106—731no—
384C2×#106—731no—
385C2×#106—1464no—
386C2×#103—731no—
387C2×#103—731no—
388C2×#103—731no—
389C2×#102—731no—
390C2×#102—731no—
391C2×#102—731no—
392C2×C22⋊C8C2×D7311yescharacteristic
393C2×C4×C8C2×D7311yescharacteristic
394C2×C4×C8C2×D7311yescharacteristic
395#391—731no—
396#390—731no—
397#389—731no—
398#389—731no—
399#389—1461no—
400#388—1461no—
401#387—1461no—
402#386—1461no—
403#385—1461no—
404#385—1461no—
405C4×C4⋊C4—731no—
406C4×C4⋊C4—731no—
407C4×C22⋊C4—1461no—
408C4×C22⋊C4C2×D7311yescharacteristic
409#340—731no—
410#340—731no—
411#340—731no—
412#340—731no—
413#336C2×D7311yescharacteristic
414#336C2×D7311yescharacteristic
415C22×Q8—731no—
416C22×D4—731no—
417C22×D4—1461no—
418C23×C4—1461no—
419C23×C4—1461no—
420C23×C4—1461no—
421C23×C4C22×D7311yescharacteristic
422C2×SD16—734no—
423C2×SD16—1462no—
424C2×SD16—1462no—
425C22×C8—22no—
426C22×C8—22no—
427C22×C8C4×D7314yescomplemented
428C22×C8C22×D7311yescharacteristic
429C22×C8C22×D7311yescharacteristic
430C22×C8C22×D7311yescharacteristic
431C22×C8C22×D7311yescharacteristic
432C22⋊Q8—734no—
433C22⋊Q8—1462no—
434#121—734no—
435#121—1462no—
436C4×Q8—2921no—
437C4×Q8—1462no—
438C4×D4—2921no—
439C4×D4—2924no—
440C4×D4—1462no—
441C2×C4⋊C4—2921no—
442C2×C4⋊C4—2921no—
443C2×C4⋊C4—731no—
444C2×C4⋊C4—731no—
445C2×C4⋊C4—731no—
446C2×C4⋊C4—731no—
447C2×C4⋊C4—731no—
448C2×C4⋊C4—731no—
449C2×C4⋊C4—1461no—
450C2×C4⋊C4—1461no—
451C2×C4⋊C4—1461no—
452C2×C4⋊C4—1461no—
453C2×C4⋊C4—1462no—
454C2×C4⋊C4—1462no—
455C2×C4⋊C4—1461no—
456C2×C4⋊C4—1461no—
457C2×C22⋊C4—1461no—
458C2×C22⋊C4—1461no—
459C2×C22⋊C4—1461no—
460C2×C22⋊C4—1461no—
461C2×C22⋊C4—1461no—
462C2×C22⋊C4D29211yescharacteristic
463C2×C22⋊C4D29211yescharacteristic
464C2×C42—1461no—
465C2×C42—1461no—
466C2×C42—1461no—
467C2×C42C22×D7311yescharacteristic
468C2×C42C22×D7311yescharacteristic
469#106—734no—
470#106—734no—
471#106—1462no—
472#106—1462no—
473#106—1462no—
474#103—2921no—
475#103—734no—
476#103—1462no—
477#102—2921no—
478#102—734no—
479#102—1462no—
480C22⋊C8—22no—
481C4×C8—22no—
482C4×C8—22no—
483#95—1461no—
484#95—1461no—
485#95—1461no—
486#95—1461no—
487#95—1461no—
488#95—1461no—
489#95D29211yescharacteristic
490#95D29211yescharacteristic
491C24—1461no—
492C24C2×D29211yescharacteristic
493C2×Q8—732no—
494C2×Q8—1461no—
495C2×Q8—1461no—
496C2×Q8—1461no—
497C2×Q8—1461no—
498C2×Q8—1461no—
499C2×D4—2922no—
500C2×D4—2922no—
501C2×D4—732no—
502C2×D4—1464no—
503C2×D4—1461no—
504C2×D4—1461no—
505C2×D4—1461no—
506C2×D4—1461no—
507C2×D4—1461no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—2922no—
513C22×C4—2922no—
514C22×C4—2922no—
515C22×C4—2922no—
516C22×C4—2922no—
517C22×C4—2922no—
518C22×C4—5841no—
519C22×C4—5841no—
520C22×C4—5841no—
521C22×C4—1461no—
522C22×C4—1461no—
523C22×C4—1461no—
524C22×C4—1461no—
525C22×C4—1461no—
526C22×C4—1461no—
527C22×C4—1461no—
528C22×C4C2×C4×D7312yes—
529C22×C4C2×D29211yescharacteristic
530C22×C4C2×D29211yescharacteristic
531C22×C4C2×D29211yescharacteristic
532C22×C4C2×D29211yescharacteristic
533C22×C4C2×D29211yescharacteristic
534C22×C4#1192402812yes—
535C22×C4C23×D7311yescharacteristic
536SD16—1468no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—28no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8C2×C4×D7312yes—
547C2×C8C2×C4×D7312yes—
548C2×C8D4×D7312yes—
549C2×C8#1192402712yes—
550C4⋊C4—2922no—
551C4⋊C4—2922no—
552C4⋊C4—2922no—
553C4⋊C4—2922no—
554C4⋊C4—5841no—
555C4⋊C4—732no—
556C4⋊C4—732no—
557C4⋊C4—732no—
558C4⋊C4—732no—
559C4⋊C4—1461no—
560C4⋊C4—1461no—
561C4⋊C4—1461no—
562C4⋊C4—1461no—
563C4⋊C4—1464no—
564C4⋊C4—1461no—
565C4⋊C4—1461no—
566C4⋊C4—1461no—
567C4⋊C4—1461no—
568C22⋊C4—22no—
569C22⋊C4—2922no—
570C22⋊C4—2922no—
571C22⋊C4—5841no—
572C22⋊C4—1464no—
573C22⋊C4—1464no—
574C22⋊C4#1192401714yescomplemented
575C42—21no—
576C42—21no—
577C42—21no—
578C42—21no—
579C42—2922no—
580C42—2922no—
581C42—5841no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—2921no—
587C23—2921no—
588C23—2921no—
589C23—2921no—
590C23—2921no—
591C23—2921no—
592C23—1462no—
593C23C4×D29212yes—
594C23C2×#1192401712yes—
595C23#1455661312yes—
596C23C22×D29211yescharacteristic
597Q8—2921no—
598Q8—2921no—
599Q8—1462no—
600Q8—1462no—
601D4—2928no—
602D4—2921no—
603D4—2921no—
604D4—1462no—
605D4—1462no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
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—2921no—
631C2×C4—2921no—
632C2×C4—2921no—
633C2×C4—2921no—
634C2×C4—2921no—
635C2×C4—2921no—
636C2×C4—2921no—
637C2×C4—2921no—
638C2×C4—5844no—
639C2×C4—5844no—
640C2×C4—5844no—
641C2×C4—1462no—
642C2×C4—1462no—
643C2×C4—1462no—
644C2×C4—1462no—
645C2×C4—1462no—
646C2×C4C4×D29212yes—
647C2×C4C2×#1192401712yes—
648C2×C4C2×#1192401712yes—
649C2×C4C22×C4×D7311yescharacteristic
650C2×C4C2×D4×D7311yescharacteristic
651C2×C4C2×#1192402711yescharacteristic
652C2×C4C2×#1192402811yescharacteristic
653C2×C4#1455663711yescharacteristic
654C2×C4#1455663811yescharacteristic
655C8—22no—
656C8—41no—
657C8—41no—
658C8#1455655114yescomplemented
659C22—22no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—2922no—
666C22—2922no—
667C22—2922no—
668C22—5841no—
669C22—5841no—
670C22—5841no—
671C22—5841no—
672C22C4×#1192401714yescomplemented
673C22C2×C4×D29211yescharacteristic
674C22D4×D29211yescharacteristic
675C22#1798924111yescharacteristic
676C22C22×#1192401711yescharacteristic
677C22C2×#1455661311yescharacteristic
678C22#1798939911yescharacteristic
679C22#1798939911yescharacteristic
680C4—22no—
681C4—22no—
682C4—22no—
683C4—41no—
684C4—41no—
685C4—2922no—
686C4—2922no—
687C4—2922no—
688C4—2922no—
689C4—2922no—
690C4—5841no—
691C4—5841no—
692C4C2×#1455655111yescharacteristic
693C4#1798906711yescharacteristic
694C4#1798924611yescharacteristic
695C4#1798928311yescharacteristic
696C2—24no—
697C2—5842no—
698C2#2261294511yescharacteristic
699C2C2×C4×#1192401711yescharacteristic
700C2#2261881611yescharacteristic
701C2D4×#1192401711yescharacteristic
702C2#2262164311yescharacteristic
703C2#2262228911yescharacteristic
704C2#2262231211yescharacteristic
subgroupG/H
centerC23C22×D292
commutatorC2×C4×C73C23×C4
FrattiniC22×C4C23×D73
FittingC8×C22⋊C4×C73C2
socleC23×C73C22×D4
prime radicalC2×#14556565C22
cosocleC22×C4×C73C24
hypercenterC8×C22⋊C4D73
hypocenterC73#23022
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ C8×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×C4×#11924017C2semidirect
3. C22×#14556523C2semidirect
5. #22612934C2semidirect
6. #22610785C2semidirect
7. #22610659C2semidirect
8. #22610566C2semidirect
9. #22610559C2semidirect
11. #22610236C2semidirect
12. #22610202C2semidirect
13. #22610195C2semidirect
14. C4×#14556523C2semidirect
15. C8×C22⋊C4×C73C2semidirect
24. #17988816C4semidirect
70. C2×#11924017C2×C4semidirect
72. #14556570C2×C4semidirect
107. #14556523C2×C4semidirect
108. #14556523D4semidirect
111. #14556516C2×C4semidirect
114. #14556513C2×C4semidirect
124. C22×C8×C73C2×C4semidirect
224. C22⋊C4×C73SD16semidirect
305. C8×C73C4×D4semidirect
312. C22×C73C4×SD16semidirect
367. C8×C22⋊C4D73semidirect
368. C73#23022semidirect
427. C22×C8C4×D73semidirect
574. C22⋊C4#11924017semidirect
658. C8#14556551semidirect
672. C22C4×#11924017semidirect

Maximal subgroups

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

subgroupindex
C2×#179888162
C2×C4×#119240172
C22×#145565232
#226129452
#226129342
#226107852
#226106592
#226105662
#226105592
#226102462
#226102362
#226102022
#226101952
C4×#145565232
C8×C22⋊C4×C732
#2302273