Finite Group Databasebeta

← C73×#62850 #32972254

Subgroups — C73×#62850 #32972254

Order 18688.

6846 conjugacy classes of subgroups.

The subgroup lattice has 592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#3524C218yesmaximal, complemented
2C73×#3523C218yesmaximal, complemented
3C73×#3518C218yesmaximal, complemented
4C73×#3516C218yesmaximal, complemented
5C73×#3507C216yesmaximal, complemented
6C73×#3502C211yesmaximal, characteristic, complemented
7C73×#3497C211yesmaximal, characteristic, complemented
8C73×#3493C216yesmaximal, complemented
9C73×#3486C212yesmaximal, complemented
10C73×#3461C216yesmaximal, complemented
11C73×#3455C216yesmaximal, complemented
12C4×2−1+4×C73C212yesmaximal, complemented
13C2×#519×C73C211yesmaximal, characteristic, complemented
14C2×2−1+4×C73C2212yes—
15C23×Q8×C73C2211yescharacteristic
16#559×C73C22112yescomplemented
17Q82×C73C2214yescomplemented
18#557×C73C2214yescomplemented
19#557×C73C2218yescomplemented
20#557×C73C22112yescomplemented
21#556×C73C22124yes—
22#556×C73C22124yescomplemented
23#556×C73C22112yescomplemented
24#555×C73C22124yes—
25#554×C73C22112yescomplemented
26#553×C73C22124yes—
27#552×C73C22124yes—
28#552×C73C22124yescomplemented
29#550×C73C2214yescomplemented
30D4×Q8×C73C2218yes—
31D4×Q8×C73C2218yes—
32D4×Q8×C73C2214yescomplemented
33#548×C73C2218yes—
34#548×C73C2218yes—
35#548×C73C2218yescomplemented
36#544×C73C2216yes—
37#542×C73C22112yes—
38#542×C73C22112yes—
39#542×C73C22124yescomplemented
40#541×C73C22112yes—
41#541×C73C22124yescomplemented
42#540×C73C22112yes—
43#539×C73C22112yes—
44#539×C73C22112yes—
45#538×C73C22112yes—
46#538×C73C2214yes—
47#537×C73C2216yes—
48#536×C73C22112yes—
49#533×C73C2216yes—
50#533×C73C22124yescomplemented
51#532×C73C2216yes—
52#529×C73C22124yes—
53#529×C73C22124yes—
54#529×C73C22124yes—
55#529×C73C22124yescomplemented
56#525×C73C22112yes—
57#520×C73C22112yes—
58#520×C73C2218yescomplemented
59#519×C73C2212yes—
60#519×C73C2218yes—
61#519×C73C2218yes—
62#519×C73C2218yescomplemented
63C4×#41×C73C22112yes—
64C4×#41×C73C2218yescomplemented
65C2×C4×Q8×C73C2211yescharacteristic
66C2×C4×Q8×C73C2213yes—
67C2×C4×Q8×C73C2211yescharacteristic
68C2×C4×Q8×C73C2213yes—
69C2×C4×Q8×C73C2218yescomplemented
70C2×#117×C73C2213yes—
71C2×#117×C73C2213yes—
722−1+4×C73—216no—
73C2×#41×C73C23112yes—
74C2×#41×C73C2318yes—
75C22×Q8×C73—28no—
76C22×Q8×C73C2313yes—
77C22×Q8×C73C2318yes—
78C22×Q8×C73C2318yes—
79C22×Q8×C73C2311yescharacteristic
80C23×C4×C73C2313yes—
81C4⋊Q8×C73C2316yes—
82C4⋊Q8×C73C2316yes—
83C4⋊Q8×C73C2316yes—
84C4⋊Q8×C73C23124yes—
85C4⋊Q8×C73C23124yes—
86#127×C73C2316yes—
87#126×C73C2318yes—
88#126×C73C23124yes—
89#126×C73C23124yes—
90#126×C73C23124yes—
91#126×C73C23148yes—
92#125×C73C23124yes—
93#125×C73C23124yes—
94#125×C73C23124yes—
95#125×C73C23124yes—
96#125×C73C23112yes—
97#124×C73C2318yes—
98#124×C73C23124yes—
99#124×C73C23124yes—
100#124×C73C23124yes—
101#124×C73C23112yes—
102#123×C73C23124yes—
103#123×C73C2318yes—
104#123×C73C23124yes—
105#123×C73C23124yes—
106#123×C73C23124yes—
107C22⋊Q8×C73C23112yes—
108C22⋊Q8×C73C23112yes—
109C22⋊Q8×C73C23112yes—
110C22⋊Q8×C73C23124yes—
111C22⋊Q8×C73C23124yes—
112C22⋊Q8×C73C23124yes—
113C22⋊Q8×C73C2314yes—
114C22⋊Q8×C73C23124yes—
115C22⋊Q8×C73C23124yes—
116#121×C73C23112yes—
117#121×C73C23112yes—
118#121×C73C2318yes—
119#121×C73C23112yes—
120#121×C73C23124yes—
121#121×C73C23124yes—
122#121×C73C2314yes—
123#120×C73C2318yes—
124C4×Q8×C73C2318yes—
125C4×Q8×C73C23124yes—
126C4×Q8×C73C2314yes—
127C4×Q8×C73C2314yes—
128C4×Q8×C73C23112yes—
129C4×Q8×C73C23112yes—
130C4×Q8×C73C23112yes—
131C4×Q8×C73C2318yes—
132C4×Q8×C73C23124yes—
133C4×Q8×C73C23112yes—
134C4×Q8×C73C2318yes—
135C4×Q8×C73C23112yes—
136C4×Q8×C73C23112yes—
137C4×Q8×C73C23124yes—
138C4×D4×C73C2318yes—
139C4×D4×C73C23112yes—
140C4×D4×C73C23124yes—
141C4×D4×C73C23112yes—
142C4×D4×C73C23124yes—
143C4×D4×C73C23124yes—
144C4×D4×C73C23124yes—
145C4×D4×C73C23112yes—
146C4×D4×C73C23112yes—
147C4×D4×C73C23124yes—
148#117×C73C23112yes—
149#117×C73C23112yes—
150#117×C73C23124yes—
151#117×C73C23112yes—
152#117×C73C23124yes—
153#117×C73C23124yes—
154#117×C73C23148yes—
155C2×C4⋊C4×C73C2313yes—
156C2×C4⋊C4×C73C2313yes—
157C2×C4⋊C4×C73C2313yes—
158C2×C4⋊C4×C73C2313yes—
159C2×C4⋊C4×C73C23124yes—
160C2×C22⋊C4×C73C2311yescharacteristic
161C2×C22⋊C4×C73C2313yes—
162C2×C42×C73C2313yes—
163C2×C42×C73C2316yes—
164C2×C42×C73C2313yes—
165C2×C42×C73C23124yes—
166C24×C73C2411yescharacteristic
167#41×C73—232no—
168#41×C73—248no—
169C2×Q8×C73—232no—
170C2×Q8×C73—232no—
171C2×Q8×C73—212no—
172C2×Q8×C73#4118yes—
173C2×Q8×C73C24112yes—
174C2×Q8×C73C24112yes—
175C2×Q8×C73C2414yes—
176C2×Q8×C73C24112yes—
177C2×Q8×C73C2414yes—
178C2×D4×C73C2418yes—
179C2×D4×C73C24112yes—
180C2×D4×C73C2418yes—
181C2×D4×C73C2418yes—
182C2×D4×C73C24112yes—
183C2×D4×C73C2414yes—
184C22×C4×C73—212no—
185C22×C4×C73C2413yes—
186C22×C4×C73C24124yes—
187C22×C4×C73C24112yes—
188C22×C4×C73C2411yescharacteristic
189C22×C4×C73C2413yes—
190C22×C4×C73C2411yescharacteristic
191C22×C4×C73C2413yes—
192C22×C4×C73C2418yes—
193C22×C4×C73C24124yes—
194C22×C4×C73C2413yes—
195C4⋊C4×C73C24112yes—
196C4⋊C4×C73C24112yes—
197C4⋊C4×C73C24124yes—
198C4⋊C4×C73C24112yes—
199C4⋊C4×C73C2416yes—
200C4⋊C4×C73C24112yes—
201C4⋊C4×C73C2416yes—
202C4⋊C4×C73C24112yes—
203C4⋊C4×C73C2418yes—
204C4⋊C4×C73C24124yes—
205C4⋊C4×C73C24124yes—
206C4⋊C4×C73C2414yes—
207C4⋊C4×C73C24112yes—
208C4⋊C4×C73C24112yes—
209C4⋊C4×C73C24124yes—
210C4⋊C4×C73C2418yes—
211C4⋊C4×C73C2414yes—
212C22⋊C4×C73C2412yes—
213C22⋊C4×C73C24112yes—
214C22⋊C4×C73C2412yes—
215C22⋊C4×C73C2418yes—
216C22⋊C4×C73C2418yes—
217C22⋊C4×C73C24124yes—
218C22⋊C4×C73C24124yes—
219C22⋊C4×C73C24124yes—
220C22⋊C4×C73C2418yes—
221C22⋊C4×C73C2418yes—
222C22⋊C4×C73C24124yes—
223C22⋊C4×C73C2418yes—
224C42×C73C24112yes—
225C42×C73C2418yes—
226C42×C73C24124yes—
227C42×C73C24124yes—
228C42×C73C24124yes—
229C42×C73C2416yes—
230C42×C73C2416yes—
231C23×C73—22no—
232C23×C73—41no—
233C23×C73—41no—
234C23×C73C2512yes—
235C23×C73C2518yes—
236C23×C73C2511yescharacteristic
237Q8×C73—224no—
238Q8×C73—224no—
239Q8×C73—44no—
240Q8×C73—412no—
241Q8×C73C2×#41116yes—
242D4×C73—216no—
243D4×C73—224no—
244D4×C73—48no—
245D4×C73—44no—
246D4×C73—412no—
247D4×C73—48no—
248C2×C4×C73—26no—
249C2×C4×C73—224no—
250C2×C4×C73—248no—
251C2×C4×C73—41no—
252C2×C4×C73—43no—
253C2×C4×C73—424no—
254C2×C4×C73—48no—
255C2×C4×C73—41no—
256C2×C4×C73—43no—
257C2×C4×C73C2×#41112yes—
258C2×C4×C73C2512yes—
259C2×C4×C73C2516yes—
260C2×C4×C73C2511yescharacteristic
261C2×C4×C73C2518yes—
262C2×C4×C73C2516yes—
263C2×C4×C73C2511yescharacteristic
264C2×C4×C73C2516yes—
265C2×C4×C73C2518yes—
266C2×C4×C73C2518yes—
267C2×C4×C73C2516yes—
268C22×C73—21no—
269C22×C73—21no—
270C22×C73—22no—
271C22×C73—28no—
272C22×C73—28no—
273C22×C73—28no—
274C22×C73—22no—
275C22×C73—22no—
276C22×C73—44no—
277C22×C73C22×#4112yes—
278C22×C73C2611yescharacteristic
279C4×C73—28no—
280C4×C73—26no—
281C4×C73—26no—
282C4×C73—22no—
283C4×C73—28no—
284C4×C73—21no—
285C4×C73—26no—
286C4×C73—28no—
287C4×C73—21no—
288C4×C73C22×#41112yes—
289#62850C7311yesmaximal, characteristic, direct product factor, Sylow
290C2×C73—22no—
291C2×C73—48no—
292C2×C73—42no—
293C2×C73C23×#4111yescharacteristic
294C2×C732−1+611yescharacteristic
295C2×C732−1+611yescharacteristic
296#3524C2×C7318yescomplemented
297#3523C2×C7318yescomplemented
298#3518C2×C7318yescomplemented
299#3516C2×C7318yescomplemented
300#3507C2×C7316yescomplemented
301#3502C2×C7311yescharacteristic, complemented
302#3497C2×C7311yescharacteristic, complemented
303#3493C2×C7316yescomplemented
304#3486C2×C7312yescomplemented
305#3461C2×C7316yescomplemented
306#3455C2×C7316yescomplemented
307C4×2−1+4C2×C7312yescomplemented
308C2×#519C2×C7311yescharacteristic, complemented
309C73#6285011yescharacteristic, direct product factor, Sylow
310C2×2−1+4C22×C7312yes—
311C23×Q8C22×C7311yescharacteristic
312#559C22×C73112yescomplemented
313Q82C22×C7314yescomplemented
314#557C22×C7314yescomplemented
315#557C22×C7318yescomplemented
316#557C22×C73112yescomplemented
317#556C22×C73124yes—
318#556C22×C73124yescomplemented
319#556C22×C73112yescomplemented
320#555C22×C73124yes—
321#554C22×C73112yescomplemented
322#553C22×C73124yes—
323#552C22×C73124yes—
324#552C22×C73124yescomplemented
325#550C22×C7314yescomplemented
326D4×Q8C22×C7318yes—
327D4×Q8C22×C7318yes—
328D4×Q8C22×C7314yescomplemented
329#548C22×C7318yes—
330#548C22×C7318yes—
331#548C22×C7318yescomplemented
332#544C22×C7316yes—
333#542C22×C73112yes—
334#542C22×C73112yes—
335#542C22×C73124yescomplemented
336#541C22×C73112yes—
337#541C22×C73124yescomplemented
338#540C22×C73112yes—
339#539C22×C73112yes—
340#539C22×C73112yes—
341#538C22×C7314yes—
342#538C22×C73112yes—
343#537C22×C7316yes—
344#536C22×C73112yes—
345#533C22×C7316yes—
346#533C22×C73124yescomplemented
347#532C22×C7316yes—
348#529C22×C73124yes—
349#529C22×C73124yes—
350#529C22×C73124yes—
351#529C22×C73124yescomplemented
352#525C22×C73112yes—
353#520C22×C73112yes—
354#520C22×C7318yescomplemented
355#519C22×C7318yes—
356#519C22×C7318yes—
357#519C22×C7312yes—
358#519C22×C7318yescomplemented
359C4×#41C22×C73112yes—
360C4×#41C22×C7318yescomplemented
361C2×C4×Q8C22×C7311yescharacteristic
362C2×C4×Q8C22×C7313yes—
363C2×C4×Q8C22×C7311yescharacteristic
364C2×C4×Q8C22×C7313yes—
365C2×C4×Q8C22×C7318yescomplemented
366C2×#117C22×C7313yes—
367C2×#117C22×C7313yes—
3682−1+4—216no—
369C2×#41C23×C73112yes—
370C2×#41C23×C7318yes—
371C22×Q8—28no—
372C22×Q8C23×C7313yes—
373C22×Q8C23×C7318yes—
374C22×Q8C23×C7318yes—
375C22×Q8C23×C7311yescharacteristic
376C23×C4C23×C7313yes—
377C4⋊Q8C23×C7316yes—
378C4⋊Q8C23×C7316yes—
379C4⋊Q8C23×C7316yes—
380C4⋊Q8C23×C73124yes—
381C4⋊Q8C23×C73124yes—
382#127C23×C7316yes—
383#126C23×C7318yes—
384#126C23×C73124yes—
385#126C23×C73124yes—
386#126C23×C73124yes—
387#126C23×C73148yes—
388#125C23×C73124yes—
389#125C23×C73124yes—
390#125C23×C73124yes—
391#125C23×C73124yes—
392#125C23×C73112yes—
393#124C23×C7318yes—
394#124C23×C73124yes—
395#124C23×C73124yes—
396#124C23×C73124yes—
397#124C23×C73112yes—
398#123C23×C73124yes—
399#123C23×C7318yes—
400#123C23×C73124yes—
401#123C23×C73124yes—
402#123C23×C73124yes—
403C22⋊Q8C23×C73112yes—
404C22⋊Q8C23×C73112yes—
405C22⋊Q8C23×C73112yes—
406C22⋊Q8C23×C73124yes—
407C22⋊Q8C23×C73124yes—
408C22⋊Q8C23×C73124yes—
409C22⋊Q8C23×C7314yes—
410C22⋊Q8C23×C73124yes—
411C22⋊Q8C23×C73124yes—
412#121C23×C73112yes—
413#121C23×C73112yes—
414#121C23×C7318yes—
415#121C23×C73112yes—
416#121C23×C73124yes—
417#121C23×C73124yes—
418#121C23×C7314yes—
419#120C23×C7318yes—
420C4×Q8C23×C7318yes—
421C4×Q8C23×C73124yes—
422C4×Q8C23×C7314yes—
423C4×Q8C23×C7314yes—
424C4×Q8C23×C73112yes—
425C4×Q8C23×C73112yes—
426C4×Q8C23×C73112yes—
427C4×Q8C23×C7318yes—
428C4×Q8C23×C73124yes—
429C4×Q8C23×C73112yes—
430C4×Q8C23×C7318yes—
431C4×Q8C23×C73112yes—
432C4×Q8C23×C73112yes—
433C4×Q8C23×C73124yes—
434C4×D4C23×C7318yes—
435C4×D4C23×C73112yes—
436C4×D4C23×C73124yes—
437C4×D4C23×C73112yes—
438C4×D4C23×C73124yes—
439C4×D4C23×C73124yes—
440C4×D4C23×C73124yes—
441C4×D4C23×C73112yes—
442C4×D4C23×C73112yes—
443C4×D4C23×C73124yes—
444#117C23×C73112yes—
445#117C23×C73112yes—
446#117C23×C73124yes—
447#117C23×C73112yes—
448#117C23×C73124yes—
449#117C23×C73124yes—
450#117C23×C73148yes—
451C2×C4⋊C4C23×C7313yes—
452C2×C4⋊C4C23×C7313yes—
453C2×C4⋊C4C23×C7313yes—
454C2×C4⋊C4C23×C7313yes—
455C2×C4⋊C4C23×C73124yes—
456C2×C22⋊C4C23×C7311yescharacteristic
457C2×C22⋊C4C23×C7313yes—
458C2×C42C23×C7313yes—
459C2×C42C23×C7316yes—
460C2×C42C23×C7313yes—
461C2×C42C23×C73124yes—
462C24C24×C7311yescharacteristic
463#41—232no—
464#41—248no—
465C2×Q8—232no—
466C2×Q8—232no—
467C2×Q8—212no—
468C2×Q8#41×C7318yes—
469C2×Q8C24×C73112yes—
470C2×Q8C24×C73112yes—
471C2×Q8C24×C7314yes—
472C2×Q8C24×C73112yes—
473C2×Q8C24×C7314yes—
474C2×D4C24×C7318yes—
475C2×D4C24×C73112yes—
476C2×D4C24×C7318yes—
477C2×D4C24×C7318yes—
478C2×D4C24×C73112yes—
479C2×D4C24×C7314yes—
480C22×C4—212no—
481C22×C4C24×C7313yes—
482C22×C4C24×C73124yes—
483C22×C4C24×C73112yes—
484C22×C4C24×C7311yescharacteristic
485C22×C4C24×C7313yes—
486C22×C4C24×C7311yescharacteristic
487C22×C4C24×C7313yes—
488C22×C4C24×C7318yes—
489C22×C4C24×C73124yes—
490C22×C4C24×C7313yes—
491C4⋊C4C24×C73112yes—
492C4⋊C4C24×C73112yes—
493C4⋊C4C24×C73124yes—
494C4⋊C4C24×C73112yes—
495C4⋊C4C24×C7316yes—
496C4⋊C4C24×C73112yes—
497C4⋊C4C24×C7316yes—
498C4⋊C4C24×C73112yes—
499C4⋊C4C24×C7318yes—
500C4⋊C4C24×C73124yes—
501C4⋊C4C24×C73124yes—
502C4⋊C4C24×C7314yes—
503C4⋊C4C24×C73112yes—
504C4⋊C4C24×C73112yes—
505C4⋊C4C24×C73124yes—
506C4⋊C4C24×C7318yes—
507C4⋊C4C24×C7314yes—
508C22⋊C4C24×C7312yes—
509C22⋊C4C24×C73112yes—
510C22⋊C4C24×C7312yes—
511C22⋊C4C24×C7318yes—
512C22⋊C4C24×C7318yes—
513C22⋊C4C24×C73124yes—
514C22⋊C4C24×C73124yes—
515C22⋊C4C24×C73124yes—
516C22⋊C4C24×C7318yes—
517C22⋊C4C24×C7318yes—
518C22⋊C4C24×C73124yes—
519C22⋊C4C24×C7318yes—
520C42C24×C73112yes—
521C42C24×C7318yes—
522C42C24×C73124yes—
523C42C24×C73124yes—
524C42C24×C73124yes—
525C42C24×C7316yes—
526C42C24×C7316yes—
527C23—22no—
528C23—41no—
529C23—41no—
530C23C25×C7312yes—
531C23C25×C7318yes—
532C23C25×C7311yescharacteristic
533Q8—224no—
534Q8—224no—
535Q8—44no—
536Q8—412no—
537Q8C2×#41×C73116yes—
538D4—216no—
539D4—224no—
540D4—48no—
541D4—44no—
542D4—412no—
543D4—48no—
544C2×C4—26no—
545C2×C4—224no—
546C2×C4—248no—
547C2×C4—41no—
548C2×C4—43no—
549C2×C4—424no—
550C2×C4—48no—
551C2×C4—41no—
552C2×C4—43no—
553C2×C4C2×#41×C73112yes—
554C2×C4C25×C7312yes—
555C2×C4C25×C7316yes—
556C2×C4C25×C7311yescharacteristic
557C2×C4C25×C7318yes—
558C2×C4C25×C7316yes—
559C2×C4C25×C7311yescharacteristic
560C2×C4C25×C7316yes—
561C2×C4C25×C7318yes—
562C2×C4C25×C7318yes—
563C2×C4C25×C7316yes—
564C22—21no—
565C22—21no—
566C22—22no—
567C22—28no—
568C22—28no—
569C22—28no—
570C22—22no—
571C22—22no—
572C22—44no—
573C22C22×#41×C7312yes—
574C22C26×C7311yescharacteristic
575C4—28no—
576C4—26no—
577C4—26no—
578C4—22no—
579C4—28no—
580C4—21no—
581C4—26no—
582C4—28no—
583C4—21no—
584C4C22×#41×C73112yes—
585C2—22no—
586C2—42no—
587C2—48no—
588C2C23×#41×C7311yescharacteristic
589C2C73×2−1+611yescharacteristic
590C2C73×2−1+611yescharacteristic
subgroupG/H
center, socleC22×C73C26
commutator, Frattini, cosocleC22C26×C73
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C73×#3524C2semidirect
2. C73×#3523C2semidirect
3. C73×#3518C2semidirect
4. C73×#3516C2semidirect
5. C73×#3507C2semidirect
6. C73×#3502C2semidirect
7. C73×#3497C2semidirect
8. C73×#3493C2semidirect
9. C73×#3486C2semidirect
10. C73×#3461C2semidirect
11. C73×#3455C2semidirect
12. C4×2−1+4×C73C2semidirect
13. C2×#519×C73C2semidirect
16. #559×C73C22semidirect
17. Q82×C73C22semidirect
18. #557×C73C22semidirect
19. #557×C73C22semidirect
20. #557×C73C22semidirect
22. #556×C73C22semidirect
23. #556×C73C22semidirect
25. #554×C73C22semidirect
28. #552×C73C22semidirect
29. #550×C73C22semidirect
32. D4×Q8×C73C22semidirect
35. #548×C73C22semidirect
39. #542×C73C22semidirect
41. #541×C73C22semidirect
50. #533×C73C22semidirect
55. #529×C73C22semidirect
58. #520×C73C22semidirect
62. #519×C73C22semidirect
64. C4×#41×C73C22semidirect
69. C2×C4×Q8×C73C22semidirect
289. #62850C73direct (N × H)
296. #3524C2×C73semidirect
297. #3523C2×C73semidirect
298. #3518C2×C73semidirect
299. #3516C2×C73semidirect
300. #3507C2×C73semidirect
301. #3502C2×C73semidirect
302. #3497C2×C73semidirect
303. #3493C2×C73semidirect
304. #3486C2×C73semidirect
305. #3461C2×C73semidirect
306. #3455C2×C73semidirect
307. C4×2−1+4C2×C73semidirect
308. C2×#519C2×C73semidirect
309. C73#62850direct (N × H)
312. #559C22×C73semidirect
313. Q82C22×C73semidirect
314. #557C22×C73semidirect
315. #557C22×C73semidirect
316. #557C22×C73semidirect
318. #556C22×C73semidirect
319. #556C22×C73semidirect
321. #554C22×C73semidirect
324. #552C22×C73semidirect
325. #550C22×C73semidirect
328. D4×Q8C22×C73semidirect
331. #548C22×C73semidirect
335. #542C22×C73semidirect
337. #541C22×C73semidirect
346. #533C22×C73semidirect
351. #529C22×C73semidirect
354. #520C22×C73semidirect
358. #519C22×C73semidirect
360. C4×#41C22×C73semidirect
365. C2×C4×Q8C22×C73semidirect

Maximal subgroups

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

subgroupindex
C73×#35242
C73×#35232
C73×#35182
C73×#35162
C73×#35072
C73×#35022
C73×#34972
C73×#34932
C73×#34862
C73×#34612
C73×#34552
C4×2−1+4×C732
C2×#519×C732
#6285073