Finite Group Databasebeta

← C73×#22434 #32931838

Subgroups — C73×#22434 #32931838

Order 18688.

1494 conjugacy classes of subgroups.

The subgroup lattice has 1244 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D4×#41×C73C211yesmaximal, characteristic
2D4×M16×C73C211yesmaximal, characteristic, complemented
3C2×#421×C73C211yesmaximal, characteristic, complemented
4C22×#104×C73C211yesmaximal, characteristic, complemented
5C73×#2290C211yesmaximal, characteristic, complemented
6C73×#1980C211yesmaximal, characteristic, complemented
7C73×#1963C211yesmaximal, characteristic, complemented
8C73×#1897C211yesmaximal, characteristic, complemented
9C73×#1896C211yesmaximal, characteristic, complemented
10C73×#1871C211yesmaximal, characteristic, complemented
11C73×#1871C211yesmaximal, characteristic, complemented
12C73×#1806C211yesmaximal, characteristic, complemented
13C73×#1789C211yesmaximal, characteristic, complemented
14C73×#1789C211yesmaximal, characteristic, complemented
15C73×#1759C211yesmaximal, characteristic, complemented
16C22×#41×C73C2211yescharacteristic
17C22×#41×C73C2211yescharacteristic
18C22×M16×C73C2211yescharacteristic, complemented
19C22×M16×C73C2211yescharacteristic, complemented
20#550×C73C411yescharacteristic, complemented
21D4×Q8×C73C411yescharacteristic, complemented
22#548×C73C411yescharacteristic, complemented
23#548×C73C411yescharacteristic, complemented
24#547×C73—21no—
25#547×C73C411yescharacteristic, complemented
26#546×C73—21no—
27#546×C73—21no—
28#546×C73C411yescharacteristic, complemented
29#546×C73C411yescharacteristic, complemented
30D42×C73—21no—
31D42×C73C411yescharacteristic, complemented
32#532×C73—21no—
33#532×C73C2211yescharacteristic
34#525×C73—21no—
35#525×C73—21no—
36#525×C73C2211yescharacteristic
37#525×C73C2211yescharacteristic
38C4×#41×C73C2211yescharacteristic
39C2×C4×D4×C73—21no—
40C2×C4×D4×C73C2211yescharacteristic
41C2×#117×C73C2211yescharacteristic, complemented
42C22×C42×C73C2211yescharacteristic, complemented
43#436×C73—21no—
44#435×C73—21no—
45#435×C73—21no—
46C8×D4×C73—21no—
47#423×C73C2211yescharacteristic, complemented
48#421×C73—24no—
49C2×#104×C73—24no—
50C2×#104×C73C2211yescharacteristic
51C2×#104×C73C2211yescharacteristic
52C2×#104×C73C2211yescharacteristic
53C2×#104×C73C2211yescharacteristic
54C2×#104×C73C2211yescharacteristic, complemented
55C2×#104×C73C2211yescharacteristic, complemented
56C2×#104×C73C2211yescharacteristic, complemented
57C2×#104×C73C2211yescharacteristic, complemented
58C2×#104×C73C2211yescharacteristic, complemented
59C2×#104×C73C2211yescharacteristic, complemented
60C2×#104×C73C2211yescharacteristic, complemented
61C2×#104×C73C2211yescharacteristic, complemented
62#407×C73C2211yescharacteristic, complemented
63#407×C73C2211yescharacteristic, complemented
64C4×M16×C73C2211yescharacteristic, complemented
65#388×C73—21no—
66#387×C73—21no—
67#386×C73—21no—
68#385×C73—21no—
69C4×C4⋊C4×C73C2211yescharacteristic, complemented
70C4×C22⋊C4×C73C2211yescharacteristic, complemented
71C4×C22⋊C4×C73C2211yescharacteristic, complemented
72#376×C73C2211yescharacteristic, complemented
73#339×C73C2211yescharacteristic, complemented
74#339×C73C2211yescharacteristic, complemented
75#339×C73C2211yescharacteristic, complemented
76#339×C73C2211yescharacteristic, complemented
77C2×#41×C73—21no—
78C2×#41×C73—21no—
79C2×#41×C73—21no—
80C2×#41×C73—21no—
81C2×#41×C73—22no—
82C2×#41×C73—22no—
83C2×#41×C73—22no—
84C2×#41×C73—22no—
85C2×#41×C73—41no—
86C2×#41×C73—41no—
87C2×#41×C73—41no—
88C2×#41×C73—41no—
89C2×#41×C73C2×C411yescharacteristic
90C2×#41×C73C2×C411yescharacteristic
91C2×#41×C73C2×C411yescharacteristic, complemented
92C2×#41×C73C2×C411yescharacteristic, complemented
93C2×#41×C73C2311yescharacteristic
94C2×#41×C73C2311yescharacteristic
95C2×#41×C73C2311yescharacteristic
96C22×Q8×C73C2×C411yescharacteristic
97C22×Q8×C73C2×C411yescharacteristic, complemented
98C22×D4×C73—21no—
99C22×D4×C73—21no—
100C22×D4×C73—21no—
101C22×D4×C73C2×C411yescharacteristic
102C22×D4×C73C2×C411yescharacteristic, complemented
103C22×D4×C73D411yescharacteristic
104C23×C4×C73—21no—
105C23×C4×C73—21no—
106C23×C4×C73—21no—
107C23×C4×C73C2311yescharacteristic
108C23×C4×C73C2311yescharacteristic
109C2×M16×C73—21no—
110C2×M16×C73—21no—
111C2×M16×C73—22no—
112C2×M16×C73—22no—
113C2×M16×C73—41no—
114C2×M16×C73—41no—
115C2×M16×C73C2311yescharacteristic
116C2×M16×C73C2311yescharacteristic
117C2×M16×C73C2311yescharacteristic
118C2×M16×C73C2311yescharacteristic
119C22×C8×C73—21no—
120C22×C8×C73—21no—
121C4⋊Q8×C73—21no—
122C4⋊Q8×C73C2×C411yescharacteristic, complemented
123#127×C73—21no—
124#127×C73C2×C411yescharacteristic, complemented
125#124×C73—21no—
126#124×C73—21no—
127#124×C73C2×C411yescharacteristic, complemented
128#124×C73C2×C411yescharacteristic, complemented
129#123×C73—21no—
130#123×C73—21no—
131#123×C73—21no—
132#123×C73—21no—
133#123×C73—21no—
134#123×C73—21no—
135C22⋊Q8×C73—21no—
136C22⋊Q8×C73—21no—
137C22⋊Q8×C73—21no—
138C22⋊Q8×C73—21no—
139C22⋊Q8×C73C2×C411yescharacteristic
140C22⋊Q8×C73C2×C411yescharacteristic
141C22⋊Q8×C73C2×C411yescharacteristic, complemented
142C22⋊Q8×C73C2×C411yescharacteristic, complemented
143#121×C73—21no—
144#121×C73—21no—
145#121×C73—21no—
146#121×C73—21no—
147#121×C73—21no—
148#121×C73—21no—
149#121×C73—21no—
150#121×C73—21no—
151#121×C73—21no—
152#121×C73—21no—
153#121×C73C2×C411yescharacteristic
154#121×C73C2×C411yescharacteristic
155#121×C73C2×C411yescharacteristic, complemented
156#121×C73C2×C411yescharacteristic, complemented
157#120×C73—21no—
158#120×C73—21no—
159#120×C73—21no—
160#120×C73—21no—
161#120×C73—21no—
162#120×C73—21no—
163C4×Q8×C73C2×C411yescharacteristic, complemented
164C4×Q8×C73C2×C411yescharacteristic, complemented
165C4×D4×C73—21no—
166C4×D4×C73—21no—
167C4×D4×C73—21no—
168C4×D4×C73—21no—
169C4×D4×C73—21no—
170C4×D4×C73—21no—
171C4×D4×C73—21no—
172C4×D4×C73—21no—
173C4×D4×C73—21no—
174C4×D4×C73—21no—
175C4×D4×C73—21no—
176C4×D4×C73—21no—
177C4×D4×C73C2×C411yescharacteristic
178C4×D4×C73C2×C411yescharacteristic
179C4×D4×C73C2×C411yescharacteristic
180C4×D4×C73C2×C411yescharacteristic
181C4×D4×C73C2×C411yescharacteristic, complemented
182C4×D4×C73C2×C411yescharacteristic, complemented
183C4×D4×C73D411yescharacteristic
184C4×D4×C73D411yescharacteristic
185C4×D4×C73D411yescharacteristic
186C4×D4×C73D411yescharacteristic
187#117×C73—21no—
188#117×C73—22no—
189#117×C73—41no—
190#117×C73C2311yescharacteristic
191C2×C4⋊C4×C73—21no—
192C2×C4⋊C4×C73—21no—
193C2×C4⋊C4×C73—21no—
194C2×C4⋊C4×C73D411yescharacteristic
195C2×C22⋊C4×C73—21no—
196C2×C22⋊C4×C73—21no—
197C2×C22⋊C4×C73—21no—
198C2×C22⋊C4×C73—21no—
199C2×C22⋊C4×C73—21no—
200C2×C22⋊C4×C73D411yescharacteristic
201C2×C22⋊C4×C73D411yescharacteristic
202C2×C42×C73—21no—
203C2×C42×C73—22no—
204C2×C42×C73—21no—
205C2×C42×C73—41no—
206C2×C42×C73C2311yescharacteristic
207C2×C42×C73C2311yescharacteristic
208C2×C42×C73C2311yescharacteristic
209C2×C42×C73C2311yescharacteristic
210C2×C42×C73C2311yescharacteristic
211C4⋊C8×C73—21no—
212C4⋊C8×C73—21no—
213#104×C73—22no—
214#104×C73—22no—
215#104×C73—22no—
216#104×C73—22no—
217#104×C73—22no—
218#104×C73—22no—
219#104×C73—22no—
220#104×C73—41no—
221#104×C73—41no—
222#104×C73—41no—
223#104×C73—41no—
224#104×C73D414yescomplemented
225C22⋊C8×C73—21no—
226C22⋊C8×C73—21no—
227C22⋊C8×C73—21no—
228C22⋊C8×C73—21no—
229#97×C73—21no—
230C4×C8×C73—21no—
231#95×C73—21no—
232#95×C73—21no—
233#95×C73—21no—
234#95×C73—21no—
235#95×C73—21no—
236C24×C73—21no—
237C24×C73—21no—
238C24×C73C2×D411yescharacteristic
239C24×C73C2×D411yescharacteristic
240#41×C73—21no—
241#41×C73—21no—
242#41×C73—22no—
243#41×C73—22no—
244#41×C73—22no—
245#41×C73—22no—
246#41×C73—21no—
247#41×C73—21no—
248#41×C73—21no—
249#41×C73—21no—
250#41×C73—21no—
251#41×C73—21no—
252#41×C73—21no—
253#41×C73—21no—
254#41×C73—42no—
255#41×C73—42no—
256#41×C73—42no—
257#41×C73—42no—
258#41×C73—41no—
259#41×C73—41no—
260#41×C73—41no—
261#41×C73—41no—
262#41×C73—42no—
263#41×C73—42no—
264#41×C73—42no—
265#41×C73—42no—
266#41×C73C2×D412yes—
267#41×C73#4112yes—
268C2×Q8×C73—21no—
269C2×Q8×C73—21no—
270C2×Q8×C73—22no—
271C2×Q8×C73—22no—
272C2×Q8×C73—41no—
273C2×Q8×C73—41no—
274C2×Q8×C73C22×C411yescharacteristic
275C2×Q8×C73C22×C411yescharacteristic
276C2×Q8×C73C22×C411yescharacteristic
277C2×D4×C73—21no—
278C2×D4×C73—22no—
279C2×D4×C73—22no—
280C2×D4×C73—21no—
281C2×D4×C73—21no—
282C2×D4×C73—21no—
283C2×D4×C73—21no—
284C2×D4×C73—21no—
285C2×D4×C73—21no—
286C2×D4×C73—21no—
287C2×D4×C73—21no—
288C2×D4×C73—21no—
289C2×D4×C73—21no—
290C2×D4×C73—21no—
291C2×D4×C73—21no—
292C2×D4×C73—21no—
293C2×D4×C73—21no—
294C2×D4×C73—41no—
295C2×D4×C73—41no—
296C2×D4×C73—42no—
297C2×D4×C73—42no—
298C2×D4×C73—42no—
299C2×D4×C73—42no—
300C2×D4×C73—42no—
301C2×D4×C73—44no—
302C2×D4×C73C22⋊C411yescharacteristic
303C2×D4×C73C22⋊C411yescharacteristic
304C2×D4×C73C22⋊C411yescharacteristic
305C2×D4×C73C22⋊C411yescharacteristic
306C2×D4×C73C22×C411yescharacteristic
307C2×D4×C73C22×C411yescharacteristic
308C2×D4×C73C22×C411yescharacteristic
309C22×C4×C73—21no—
310C22×C4×C73—21no—
311C22×C4×C73—21no—
312C22×C4×C73—21no—
313C22×C4×C73—21no—
314C22×C4×C73—21no—
315C22×C4×C73—21no—
316C22×C4×C73—21no—
317C22×C4×C73—21no—
318C22×C4×C73—21no—
319C22×C4×C73—21no—
320C22×C4×C73—21no—
321C22×C4×C73—21no—
322C22×C4×C73—21no—
323C22×C4×C73—21no—
324C22×C4×C73—21no—
325C22×C4×C73—21no—
326C22×C4×C73—21no—
327C22×C4×C73—21no—
328C22×C4×C73—21no—
329C22×C4×C73—21no—
330C22×C4×C73—21no—
331C22×C4×C73—21no—
332C22×C4×C73—42no—
333C22×C4×C73—42no—
334C22×C4×C73—42no—
335C22×C4×C73—42no—
336C22×C4×C73—42no—
337C22×C4×C73—42no—
338C22×C4×C73—42no—
339C22×C4×C73C22×C411yescharacteristic
340C22×C4×C73C22×C411yescharacteristic
341C22×C4×C73C22×C411yescharacteristic
342C22×C4×C73C22×C411yescharacteristic
343C22×C4×C73C2×D411yescharacteristic
344C22×C4×C73C2×D411yescharacteristic
345C22×C4×C73C2×D411yescharacteristic
346C22×C4×C73C2×D411yescharacteristic
347C22×C4×C73C2×D411yescharacteristic
348C22×C4×C73C2×D411yescharacteristic
349C22×C4×C73C2×D411yescharacteristic
350C22×C4×C73C2×D411yescharacteristic
351C22×C4×C73C2411yescharacteristic
352M16×C73—21no—
353M16×C73—21no—
354M16×C73—21no—
355M16×C73—21no—
356M16×C73—21no—
357M16×C73—21no—
358M16×C73—21no—
359M16×C73—42no—
360M16×C73—42no—
361M16×C73C2×D412yescomplemented
362C2×C8×C73—21no—
363C2×C8×C73—21no—
364C2×C8×C73—21no—
365C2×C8×C73—21no—
366C2×C8×C73—42no—
367C2×C8×C73—42no—
368C4⋊C4×C73—21no—
369C4⋊C4×C73—21no—
370C4⋊C4×C73—21no—
371C4⋊C4×C73—21no—
372C4⋊C4×C73—21no—
373C4⋊C4×C73—21no—
374C4⋊C4×C73—21no—
375C4⋊C4×C73—21no—
376C4⋊C4×C73—42no—
377C4⋊C4×C73—42no—
378C4⋊C4×C73C22⋊C411yescharacteristic
379C4⋊C4×C73C22⋊C411yescharacteristic
380C4⋊C4×C73C22⋊C411yescharacteristic
381C4⋊C4×C73C22⋊C411yescharacteristic
382C4⋊C4×C73C22×C411yescharacteristic
383C4⋊C4×C73C22×C411yescharacteristic
384C22⋊C4×C73—21no—
385C22⋊C4×C73—21no—
386C22⋊C4×C73—21no—
387C22⋊C4×C73—21no—
388C22⋊C4×C73—21no—
389C22⋊C4×C73—21no—
390C22⋊C4×C73—21no—
391C22⋊C4×C73—21no—
392C22⋊C4×C73—21no—
393C22⋊C4×C73—21no—
394C22⋊C4×C73—21no—
395C22⋊C4×C73—21no—
396C22⋊C4×C73—21no—
397C22⋊C4×C73—21no—
398C22⋊C4×C73—21no—
399C22⋊C4×C73—42no—
400C22⋊C4×C73—42no—
401C22⋊C4×C73—42no—
402C22⋊C4×C73C22⋊C411yescharacteristic
403C22⋊C4×C73C22⋊C411yescharacteristic
404C22⋊C4×C73C22⋊C411yescharacteristic
405C22⋊C4×C73C22⋊C411yescharacteristic
406C22⋊C4×C73C22⋊C411yescharacteristic
407C22⋊C4×C73C22⋊C411yescharacteristic
408C22⋊C4×C73C22⋊C411yescharacteristic
409C22⋊C4×C73C22⋊C411yescharacteristic
410C42×C73—21no—
411C42×C73—21no—
412C42×C73—21no—
413C42×C73—21no—
414C42×C73—21no—
415C42×C73—21no—
416C42×C73—21no—
417C42×C73—21no—
418C42×C73—21no—
419C42×C73—21no—
420C42×C73—42no—
421C42×C73C22×C411yescharacteristic
422C42×C73C22×C411yescharacteristic
423C42×C73C2×D411yescharacteristic
424C42×C73C2×D411yescharacteristic
425C42×C73C2×D412yescomplemented
426C23×C73—21no—
427C23×C73—21no—
428C23×C73—21no—
429C23×C73—22no—
430C23×C73—21no—
431C23×C73—21no—
432C23×C73—21no—
433C23×C73—21no—
434C23×C73—41no—
435C23×C73—41no—
436C23×C73—41no—
437C23×C73—42no—
438C23×C73—42no—
439C23×C73—42no—
440C23×C73—42no—
441C23×C73—81no—
442C23×C73—81no—
443C23×C73C2×C22⋊C411yescharacteristic
444C23×C73C2×C22⋊C411yescharacteristic
445C23×C73C2×C22⋊C411yescharacteristic
446C23×C73C2×C22⋊C411yescharacteristic
447C23×C73C22×D411yescharacteristic
448Q8×C73—21no—
449Q8×C73—21no—
450Q8×C73—21no—
451Q8×C73—21no—
452Q8×C73—21no—
453Q8×C73—42no—
454Q8×C73—42no—
455Q8×C73C4×D412yes—
456D4×C73—22no—
457D4×C73—22no—
458D4×C73—22no—
459D4×C73—22no—
460D4×C73—21no—
461D4×C73—21no—
462D4×C73—21no—
463D4×C73—21no—
464D4×C73—21no—
465D4×C73—41no—
466D4×C73—41no—
467D4×C73—42no—
468D4×C73—42no—
469D4×C73—42no—
470D4×C73—42no—
471D4×C73—42no—
472D4×C73—42no—
473D4×C73—42no—
474D4×C73—42no—
475D4×C73—41no—
476D4×C73—41no—
477D4×C73—41no—
478D4×C73—41no—
479D4×C73—42no—
480D4×C73—81no—
481D4×C73—81no—
482D4×C73—81no—
483D4×C73C4×D412yes—
484C2×C4×C73—21no—
485C2×C4×C73—21no—
486C2×C4×C73—21no—
487C2×C4×C73—21no—
488C2×C4×C73—21no—
489C2×C4×C73—21no—
490C2×C4×C73—21no—
491C2×C4×C73—21no—
492C2×C4×C73—21no—
493C2×C4×C73—21no—
494C2×C4×C73—21no—
495C2×C4×C73—21no—
496C2×C4×C73—21no—
497C2×C4×C73—21no—
498C2×C4×C73—21no—
499C2×C4×C73—21no—
500C2×C4×C73—21no—
501C2×C4×C73—22no—
502C2×C4×C73—21no—
503C2×C4×C73—21no—
504C2×C4×C73—21no—
505C2×C4×C73—21no—
506C2×C4×C73—22no—
507C2×C4×C73—22no—
508C2×C4×C73—21no—
509C2×C4×C73—21no—
510C2×C4×C73—21no—
511C2×C4×C73—21no—
512C2×C4×C73—22no—
513C2×C4×C73—41no—
514C2×C4×C73—41no—
515C2×C4×C73—42no—
516C2×C4×C73—42no—
517C2×C4×C73—42no—
518C2×C4×C73—42no—
519C2×C4×C73—42no—
520C2×C4×C73—42no—
521C2×C4×C73—42no—
522C2×C4×C73—41no—
523C2×C4×C73—41no—
524C2×C4×C73—41no—
525C2×C4×C73—48no—
526C2×C4×C73—41no—
527C2×C4×C73—41no—
528C2×C4×C73—41no—
529C2×C4×C73—41no—
530C2×C4×C73—41no—
531C2×C4×C73—41no—
532C2×C4×C73—41no—
533C2×C4×C73—41no—
534C2×C4×C73—41no—
535C2×C4×C73—41no—
536C2×C4×C73—41no—
537C2×C4×C73—81no—
538C2×C4×C73C2×C22⋊C411yescharacteristic
539C2×C4×C73C2×C22⋊C411yescharacteristic
540C2×C4×C73C2×C22⋊C411yescharacteristic
541C2×C4×C73C2×C22⋊C411yescharacteristic
542C2×C4×C73C2×C22⋊C411yescharacteristic
543C2×C4×C73C2×C22⋊C411yescharacteristic
544C2×C4×C73C2×C22⋊C411yescharacteristic
545C2×C4×C73C2×C22⋊C411yescharacteristic
546C2×C4×C73C23×C411yescharacteristic
547C2×C4×C73C22×D411yescharacteristic
548C2×C4×C73C22×D411yescharacteristic
549C2×C4×C73C2×#4111yescharacteristic
550C2×C4×C73H(5,𝔽2)11yescharacteristic
551C2×C4×C73H(5,𝔽2)11yescharacteristic
552C8×C73—22no—
553C8×C73—41no—
554C8×C73—41no—
555C8×C73—41no—
556C22×C73—21no—
557C22×C73—21no—
558C22×C73—21no—
559C22×C73—21no—
560C22×C73—21no—
561C22×C73—21no—
562C22×C73—21no—
563C22×C73—22no—
564C22×C73—21no—
565C22×C73—21no—
566C22×C73—21no—
567C22×C73—21no—
568C22×C73—21no—
569C22×C73—21no—
570C22×C73—42no—
571C22×C73—42no—
572C22×C73—41no—
573C22×C73—41no—
574C22×C73—41no—
575C22×C73—41no—
576C22×C73—41no—
577C22×C73—41no—
578C22×C73—41no—
579C22×C73—41no—
580C22×C73—81no—
581C22×C73—81no—
582C22×C73—84no—
583C22×C73—84no—
584C22×C73#42112yescomplemented
585C22×C73C22×C22⋊C411yescharacteristic
586C22×C73D4211yescharacteristic
587C22×C73#54611yescharacteristic
588C4×C73—21no—
589C4×C73—21no—
590C4×C73—21no—
591C4×C73—21no—
592C4×C73—22no—
593C4×C73—21no—
594C4×C73—21no—
595C4×C73—21no—
596C4×C73—21no—
597C4×C73—42no—
598C4×C73—42no—
599C4×C73—41no—
600C4×C73—41no—
601C4×C73—41no—
602C4×C73—41no—
603C4×C73—81no—
604C4×C73—81no—
605C4×C73C2×C4×D411yescharacteristic
606C4×C73#51811yescharacteristic
607C4×C73D4211yescharacteristic
608C4×C73#54611yescharacteristic
609#22434C7311yesmaximal, characteristic, direct product factor, Sylow
610C2×C73—21no—
611C2×C73—21no—
612C2×C73—22no—
613C2×C73—41no—
614C2×C73—41no—
615C2×C73—41no—
616C2×C73—42no—
617C2×C73—81no—
618C2×C73—81no—
619C2×C73D4×C22⋊C411yescharacteristic
620C2×C73C2×#42111yescharacteristic
621C2×C73#290111yescharacteristic
622D4×#41C2×C7311yescharacteristic
623D4×M16C2×C7311yescharacteristic, complemented
624C2×#421C2×C7311yescharacteristic, complemented
625C22×#104C2×C7311yescharacteristic, complemented
626#2290C2×C7311yescharacteristic, complemented
627#1980C2×C7311yescharacteristic, complemented
628#1963C2×C7311yescharacteristic, complemented
629#1897C2×C7311yescharacteristic, complemented
630#1896C2×C7311yescharacteristic, complemented
631#1871C2×C7311yescharacteristic, complemented
632#1871C2×C7311yescharacteristic, complemented
633#1806C2×C7311yescharacteristic, complemented
634#1789C2×C7311yescharacteristic, complemented
635#1789C2×C7311yescharacteristic, complemented
636#1759C2×C7311yescharacteristic, complemented
637C73#2243411yescharacteristic, direct product factor, Sylow
638C22×#41C22×C7311yescharacteristic
639C22×#41C22×C7311yescharacteristic
640C22×M16C22×C7311yescharacteristic, complemented
641C22×M16C22×C7311yescharacteristic, complemented
642#550C4×C7311yescharacteristic, complemented
643D4×Q8C4×C7311yescharacteristic, complemented
644#548C4×C7311yescharacteristic, complemented
645#548C4×C7311yescharacteristic, complemented
646#547—21no—
647#547C4×C7311yescharacteristic, complemented
648#546—21no—
649#546—21no—
650#546C4×C7311yescharacteristic, complemented
651#546C4×C7311yescharacteristic, complemented
652D42—21no—
653D42C4×C7311yescharacteristic, complemented
654#532—21no—
655#532C22×C7311yescharacteristic
656#525—21no—
657#525—21no—
658#525C22×C7311yescharacteristic
659#525C22×C7311yescharacteristic
660C4×#41C22×C7311yescharacteristic
661C2×C4×D4—21no—
662C2×C4×D4C22×C7311yescharacteristic
663C2×#117C22×C7311yescharacteristic, complemented
664C22×C42C22×C7311yescharacteristic, complemented
665#436—21no—
666#435—21no—
667#435—21no—
668C8×D4—21no—
669#423C22×C7311yescharacteristic, complemented
670#421—24no—
671C2×#104—24no—
672C2×#104C22×C7311yescharacteristic
673C2×#104C22×C7311yescharacteristic
674C2×#104C22×C7311yescharacteristic
675C2×#104C22×C7311yescharacteristic
676C2×#104C22×C7311yescharacteristic, complemented
677C2×#104C22×C7311yescharacteristic, complemented
678C2×#104C22×C7311yescharacteristic, complemented
679C2×#104C22×C7311yescharacteristic, complemented
680C2×#104C22×C7311yescharacteristic, complemented
681C2×#104C22×C7311yescharacteristic, complemented
682C2×#104C22×C7311yescharacteristic, complemented
683C2×#104C22×C7311yescharacteristic, complemented
684#407C22×C7311yescharacteristic, complemented
685#407C22×C7311yescharacteristic, complemented
686C4×M16C22×C7311yescharacteristic, complemented
687#388—21no—
688#387—21no—
689#386—21no—
690#385—21no—
691C4×C4⋊C4C22×C7311yescharacteristic, complemented
692C4×C22⋊C4C22×C7311yescharacteristic, complemented
693C4×C22⋊C4C22×C7311yescharacteristic, complemented
694#376C22×C7311yescharacteristic, complemented
695#339C22×C7311yescharacteristic, complemented
696#339C22×C7311yescharacteristic, complemented
697#339C22×C7311yescharacteristic, complemented
698#339C22×C7311yescharacteristic, complemented
699C2×#41—21no—
700C2×#41—21no—
701C2×#41—21no—
702C2×#41—21no—
703C2×#41—22no—
704C2×#41—22no—
705C2×#41—22no—
706C2×#41—22no—
707C2×#41—41no—
708C2×#41—41no—
709C2×#41—41no—
710C2×#41—41no—
711C2×#41C2×C4×C7311yescharacteristic
712C2×#41C2×C4×C7311yescharacteristic
713C2×#41C2×C4×C7311yescharacteristic, complemented
714C2×#41C2×C4×C7311yescharacteristic, complemented
715C2×#41C23×C7311yescharacteristic
716C2×#41C23×C7311yescharacteristic
717C2×#41C23×C7311yescharacteristic
718C22×Q8C2×C4×C7311yescharacteristic
719C22×Q8C2×C4×C7311yescharacteristic, complemented
720C22×D4—21no—
721C22×D4—21no—
722C22×D4—21no—
723C22×D4C2×C4×C7311yescharacteristic
724C22×D4C2×C4×C7311yescharacteristic, complemented
725C22×D4D4×C7311yescharacteristic
726C23×C4—21no—
727C23×C4—21no—
728C23×C4—21no—
729C23×C4C23×C7311yescharacteristic
730C23×C4C23×C7311yescharacteristic
731C2×M16—21no—
732C2×M16—21no—
733C2×M16—22no—
734C2×M16—22no—
735C2×M16—41no—
736C2×M16—41no—
737C2×M16C23×C7311yescharacteristic
738C2×M16C23×C7311yescharacteristic
739C2×M16C23×C7311yescharacteristic
740C2×M16C23×C7311yescharacteristic
741C22×C8—21no—
742C22×C8—21no—
743C4⋊Q8—21no—
744C4⋊Q8C2×C4×C7311yescharacteristic, complemented
745#127—21no—
746#127C2×C4×C7311yescharacteristic, complemented
747#124—21no—
748#124—21no—
749#124C2×C4×C7311yescharacteristic, complemented
750#124C2×C4×C7311yescharacteristic, complemented
751#123—21no—
752#123—21no—
753#123—21no—
754#123—21no—
755#123—21no—
756#123—21no—
757C22⋊Q8—21no—
758C22⋊Q8—21no—
759C22⋊Q8—21no—
760C22⋊Q8—21no—
761C22⋊Q8C2×C4×C7311yescharacteristic
762C22⋊Q8C2×C4×C7311yescharacteristic
763C22⋊Q8C2×C4×C7311yescharacteristic, complemented
764C22⋊Q8C2×C4×C7311yescharacteristic, complemented
765#121—21no—
766#121—21no—
767#121—21no—
768#121—21no—
769#121—21no—
770#121—21no—
771#121—21no—
772#121—21no—
773#121—21no—
774#121—21no—
775#121C2×C4×C7311yescharacteristic
776#121C2×C4×C7311yescharacteristic
777#121C2×C4×C7311yescharacteristic, complemented
778#121C2×C4×C7311yescharacteristic, complemented
779#120—21no—
780#120—21no—
781#120—21no—
782#120—21no—
783#120—21no—
784#120—21no—
785C4×Q8C2×C4×C7311yescharacteristic, complemented
786C4×Q8C2×C4×C7311yescharacteristic, complemented
787C4×D4—21no—
788C4×D4—21no—
789C4×D4—21no—
790C4×D4—21no—
791C4×D4—21no—
792C4×D4—21no—
793C4×D4—21no—
794C4×D4—21no—
795C4×D4—21no—
796C4×D4—21no—
797C4×D4—21no—
798C4×D4—21no—
799C4×D4C2×C4×C7311yescharacteristic
800C4×D4C2×C4×C7311yescharacteristic
801C4×D4C2×C4×C7311yescharacteristic
802C4×D4C2×C4×C7311yescharacteristic
803C4×D4C2×C4×C7311yescharacteristic, complemented
804C4×D4C2×C4×C7311yescharacteristic, complemented
805C4×D4D4×C7311yescharacteristic
806C4×D4D4×C7311yescharacteristic
807C4×D4D4×C7311yescharacteristic
808C4×D4D4×C7311yescharacteristic
809#117—21no—
810#117—22no—
811#117—41no—
812#117C23×C7311yescharacteristic
813C2×C4⋊C4—21no—
814C2×C4⋊C4—21no—
815C2×C4⋊C4—21no—
816C2×C4⋊C4D4×C7311yescharacteristic
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
822C2×C22⋊C4D4×C7311yescharacteristic
823C2×C22⋊C4D4×C7311yescharacteristic
824C2×C42—21no—
825C2×C42—22no—
826C2×C42—21no—
827C2×C42—41no—
828C2×C42C23×C7311yescharacteristic
829C2×C42C23×C7311yescharacteristic
830C2×C42C23×C7311yescharacteristic
831C2×C42C23×C7311yescharacteristic
832C2×C42C23×C7311yescharacteristic
833C4⋊C8—21no—
834C4⋊C8—21no—
835#104—22no—
836#104—22no—
837#104—22no—
838#104—22no—
839#104—22no—
840#104—22no—
841#104—22no—
842#104—41no—
843#104—41no—
844#104—41no—
845#104—41no—
846#104D4×C7314yescomplemented
847C22⋊C8—21no—
848C22⋊C8—21no—
849C22⋊C8—21no—
850C22⋊C8—21no—
851#97—21no—
852C4×C8—21no—
853#95—21no—
854#95—21no—
855#95—21no—
856#95—21no—
857#95—21no—
858C24—21no—
859C24—21no—
860C24C2×D4×C7311yescharacteristic
861C24C2×D4×C7311yescharacteristic
862#41—21no—
863#41—21no—
864#41—22no—
865#41—22no—
866#41—22no—
867#41—22no—
868#41—21no—
869#41—21no—
870#41—21no—
871#41—21no—
872#41—21no—
873#41—21no—
874#41—21no—
875#41—21no—
876#41—42no—
877#41—42no—
878#41—42no—
879#41—42no—
880#41—41no—
881#41—41no—
882#41—41no—
883#41—41no—
884#41—42no—
885#41—42no—
886#41—42no—
887#41—42no—
888#41C2×D4×C7312yes—
889#41#41×C7312yes—
890C2×Q8—21no—
891C2×Q8—21no—
892C2×Q8—22no—
893C2×Q8—22no—
894C2×Q8—41no—
895C2×Q8—41no—
896C2×Q8C22×C4×C7311yescharacteristic
897C2×Q8C22×C4×C7311yescharacteristic
898C2×Q8C22×C4×C7311yescharacteristic
899C2×D4—21no—
900C2×D4—22no—
901C2×D4—22no—
902C2×D4—21no—
903C2×D4—21no—
904C2×D4—21no—
905C2×D4—21no—
906C2×D4—21no—
907C2×D4—21no—
908C2×D4—21no—
909C2×D4—21no—
910C2×D4—21no—
911C2×D4—21no—
912C2×D4—21no—
913C2×D4—21no—
914C2×D4—21no—
915C2×D4—21no—
916C2×D4—41no—
917C2×D4—41no—
918C2×D4—42no—
919C2×D4—42no—
920C2×D4—42no—
921C2×D4—42no—
922C2×D4—42no—
923C2×D4—44no—
924C2×D4C22⋊C4×C7311yescharacteristic
925C2×D4C22⋊C4×C7311yescharacteristic
926C2×D4C22⋊C4×C7311yescharacteristic
927C2×D4C22⋊C4×C7311yescharacteristic
928C2×D4C22×C4×C7311yescharacteristic
929C2×D4C22×C4×C7311yescharacteristic
930C2×D4C22×C4×C7311yescharacteristic
931C22×C4—21no—
932C22×C4—21no—
933C22×C4—21no—
934C22×C4—21no—
935C22×C4—21no—
936C22×C4—21no—
937C22×C4—21no—
938C22×C4—21no—
939C22×C4—21no—
940C22×C4—21no—
941C22×C4—21no—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—42no—
955C22×C4—42no—
956C22×C4—42no—
957C22×C4—42no—
958C22×C4—42no—
959C22×C4—42no—
960C22×C4—42no—
961C22×C4C22×C4×C7311yescharacteristic
962C22×C4C22×C4×C7311yescharacteristic
963C22×C4C22×C4×C7311yescharacteristic
964C22×C4C22×C4×C7311yescharacteristic
965C22×C4C2×D4×C7311yescharacteristic
966C22×C4C2×D4×C7311yescharacteristic
967C22×C4C2×D4×C7311yescharacteristic
968C22×C4C2×D4×C7311yescharacteristic
969C22×C4C2×D4×C7311yescharacteristic
970C22×C4C2×D4×C7311yescharacteristic
971C22×C4C2×D4×C7311yescharacteristic
972C22×C4C2×D4×C7311yescharacteristic
973C22×C4C24×C7311yescharacteristic
974M16—21no—
975M16—21no—
976M16—21no—
977M16—21no—
978M16—21no—
979M16—21no—
980M16—21no—
981M16—42no—
982M16—42no—
983M16C2×D4×C7312yescomplemented
984C2×C8—21no—
985C2×C8—21no—
986C2×C8—21no—
987C2×C8—21no—
988C2×C8—42no—
989C2×C8—42no—
990C4⋊C4—21no—
991C4⋊C4—21no—
992C4⋊C4—21no—
993C4⋊C4—21no—
994C4⋊C4—21no—
995C4⋊C4—21no—
996C4⋊C4—21no—
997C4⋊C4—21no—
998C4⋊C4—42no—
999C4⋊C4—42no—
1000C4⋊C4C22⋊C4×C7311yescharacteristic
1001C4⋊C4C22⋊C4×C7311yescharacteristic
1002C4⋊C4C22⋊C4×C7311yescharacteristic
1003C4⋊C4C22⋊C4×C7311yescharacteristic
1004C4⋊C4C22×C4×C7311yescharacteristic
1005C4⋊C4C22×C4×C7311yescharacteristic
1006C22⋊C4—21no—
1007C22⋊C4—21no—
1008C22⋊C4—21no—
1009C22⋊C4—21no—
1010C22⋊C4—21no—
1011C22⋊C4—21no—
1012C22⋊C4—21no—
1013C22⋊C4—21no—
1014C22⋊C4—21no—
1015C22⋊C4—21no—
1016C22⋊C4—21no—
1017C22⋊C4—21no—
1018C22⋊C4—21no—
1019C22⋊C4—21no—
1020C22⋊C4—21no—
1021C22⋊C4—42no—
1022C22⋊C4—42no—
1023C22⋊C4—42no—
1024C22⋊C4C22⋊C4×C7311yescharacteristic
1025C22⋊C4C22⋊C4×C7311yescharacteristic
1026C22⋊C4C22⋊C4×C7311yescharacteristic
1027C22⋊C4C22⋊C4×C7311yescharacteristic
1028C22⋊C4C22⋊C4×C7311yescharacteristic
1029C22⋊C4C22⋊C4×C7311yescharacteristic
1030C22⋊C4C22⋊C4×C7311yescharacteristic
1031C22⋊C4C22⋊C4×C7311yescharacteristic
1032C42—21no—
1033C42—21no—
1034C42—21no—
1035C42—21no—
1036C42—21no—
1037C42—21no—
1038C42—21no—
1039C42—21no—
1040C42—21no—
1041C42—21no—
1042C42—42no—
1043C42C22×C4×C7311yescharacteristic
1044C42C22×C4×C7311yescharacteristic
1045C42C2×D4×C7311yescharacteristic
1046C42C2×D4×C7311yescharacteristic
1047C42C2×D4×C7312yescomplemented
1048C23—22no—
1049C23—21no—
1050C23—21no—
1051C23—21no—
1052C23—21no—
1053C23—21no—
1054C23—21no—
1055C23—21no—
1056C23—41no—
1057C23—41no—
1058C23—41no—
1059C23—42no—
1060C23—42no—
1061C23—42no—
1062C23—42no—
1063C23—81no—
1064C23—81no—
1065C23C2×C22⋊C4×C7311yescharacteristic
1066C23C2×C22⋊C4×C7311yescharacteristic
1067C23C2×C22⋊C4×C7311yescharacteristic
1068C23C2×C22⋊C4×C7311yescharacteristic
1069C23C22×D4×C7311yescharacteristic
1070Q8—21no—
1071Q8—21no—
1072Q8—21no—
1073Q8—21no—
1074Q8—21no—
1075Q8—42no—
1076Q8—42no—
1077Q8C4×D4×C7312yes—
1078D4—22no—
1079D4—22no—
1080D4—22no—
1081D4—22no—
1082D4—21no—
1083D4—21no—
1084D4—21no—
1085D4—21no—
1086D4—21no—
1087D4—41no—
1088D4—41no—
1089D4—42no—
1090D4—42no—
1091D4—42no—
1092D4—42no—
1093D4—42no—
1094D4—42no—
1095D4—42no—
1096D4—42no—
1097D4—42no—
1098D4—41no—
1099D4—41no—
1100D4—41no—
1101D4—41no—
1102D4—81no—
1103D4—81no—
1104D4—81no—
1105D4C4×D4×C7312yes—
1106C2×C4—21no—
1107C2×C4—21no—
1108C2×C4—21no—
1109C2×C4—21no—
1110C2×C4—21no—
1111C2×C4—21no—
1112C2×C4—21no—
1113C2×C4—21no—
1114C2×C4—21no—
1115C2×C4—21no—
1116C2×C4—21no—
1117C2×C4—21no—
1118C2×C4—21no—
1119C2×C4—21no—
1120C2×C4—21no—
1121C2×C4—21no—
1122C2×C4—21no—
1123C2×C4—22no—
1124C2×C4—21no—
1125C2×C4—21no—
1126C2×C4—21no—
1127C2×C4—21no—
1128C2×C4—22no—
1129C2×C4—22no—
1130C2×C4—21no—
1131C2×C4—21no—
1132C2×C4—21no—
1133C2×C4—21no—
1134C2×C4—22no—
1135C2×C4—41no—
1136C2×C4—41no—
1137C2×C4—42no—
1138C2×C4—42no—
1139C2×C4—42no—
1140C2×C4—42no—
1141C2×C4—42no—
1142C2×C4—42no—
1143C2×C4—42no—
1144C2×C4—41no—
1145C2×C4—41no—
1146C2×C4—41no—
1147C2×C4—48no—
1148C2×C4—41no—
1149C2×C4—41no—
1150C2×C4—41no—
1151C2×C4—41no—
1152C2×C4—41no—
1153C2×C4—41no—
1154C2×C4—41no—
1155C2×C4—41no—
1156C2×C4—41no—
1157C2×C4—41no—
1158C2×C4—41no—
1159C2×C4—81no—
1160C2×C4C2×C22⋊C4×C7311yescharacteristic
1161C2×C4C2×C22⋊C4×C7311yescharacteristic
1162C2×C4C2×C22⋊C4×C7311yescharacteristic
1163C2×C4C2×C22⋊C4×C7311yescharacteristic
1164C2×C4C2×C22⋊C4×C7311yescharacteristic
1165C2×C4C2×C22⋊C4×C7311yescharacteristic
1166C2×C4C2×C22⋊C4×C7311yescharacteristic
1167C2×C4C2×C22⋊C4×C7311yescharacteristic
1168C2×C4C23×C4×C7311yescharacteristic
1169C2×C4C22×D4×C7311yescharacteristic
1170C2×C4C22×D4×C7311yescharacteristic
1171C2×C4C2×#41×C7311yescharacteristic
1172C2×C4H(5,𝔽2)×C7311yescharacteristic
1173C2×C4H(5,𝔽2)×C7311yescharacteristic
1174C8—22no—
1175C8—41no—
1176C8—41no—
1177C8—41no—
1178C22—21no—
1179C22—21no—
1180C22—21no—
1181C22—21no—
1182C22—21no—
1183C22—21no—
1184C22—21no—
1185C22—22no—
1186C22—21no—
1187C22—21no—
1188C22—21no—
1189C22—21no—
1190C22—21no—
1191C22—21no—
1192C22—42no—
1193C22—42no—
1194C22—41no—
1195C22—41no—
1196C22—41no—
1197C22—41no—
1198C22—41no—
1199C22—41no—
1200C22—41no—
1201C22—41no—
1202C22—81no—
1203C22—81no—
1204C22—84no—
1205C22—84no—
1206C22#421×C7312yescomplemented
1207C22C22×C22⋊C4×C7311yescharacteristic
1208C22D42×C7311yescharacteristic
1209C22#546×C7311yescharacteristic
1210C4—21no—
1211C4—21no—
1212C4—21no—
1213C4—21no—
1214C4—22no—
1215C4—21no—
1216C4—21no—
1217C4—21no—
1218C4—21no—
1219C4—42no—
1220C4—42no—
1221C4—41no—
1222C4—41no—
1223C4—41no—
1224C4—41no—
1225C4—81no—
1226C4—81no—
1227C4C2×C4×D4×C7311yescharacteristic
1228C4#518×C7311yescharacteristic
1229C4D42×C7311yescharacteristic
1230C4#546×C7311yescharacteristic
1231C2—21no—
1232C2—21no—
1233C2—22no—
1234C2—41no—
1235C2—41no—
1236C2—41no—
1237C2—42no—
1238C2—81no—
1239C2—81no—
1240C2D4×C22⋊C4×C7311yescharacteristic
1241C2C2×#421×C7311yescharacteristic
1242C2C73×#290111yescharacteristic
subgroupG/H
centerC2×C4×C73C22×D4
commutatorC2×C4C23×C4×C73
Frattini, cosocleC22×C4C24×C73
socleC22×C73C22×C22⋊C4
prime radicalD4×#41×C73C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C73 ◁ C2×C4×D4×C73 ◁ G

Complements

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

NH ≅ G/Ntype
2. D4×M16×C73C2semidirect
3. C2×#421×C73C2semidirect
4. C22×#104×C73C2semidirect
5. C73×#2290C2semidirect
6. C73×#1980C2semidirect
7. C73×#1963C2semidirect
8. C73×#1897C2semidirect
9. C73×#1896C2semidirect
10. C73×#1871C2semidirect
11. C73×#1871C2semidirect
12. C73×#1806C2semidirect
13. C73×#1789C2semidirect
14. C73×#1789C2semidirect
15. C73×#1759C2semidirect
18. C22×M16×C73C22semidirect
19. C22×M16×C73C22semidirect
20. #550×C73C4semidirect
21. D4×Q8×C73C4semidirect
22. #548×C73C4semidirect
23. #548×C73C4semidirect
25. #547×C73C4semidirect
28. #546×C73C4semidirect
29. #546×C73C4semidirect
31. D42×C73C4semidirect
41. C2×#117×C73C22semidirect
42. C22×C42×C73C22semidirect
47. #423×C73C22semidirect
54. C2×#104×C73C22semidirect
55. C2×#104×C73C22semidirect
56. C2×#104×C73C22semidirect
57. C2×#104×C73C22semidirect
58. C2×#104×C73C22semidirect
59. C2×#104×C73C22semidirect
60. C2×#104×C73C22semidirect
61. C2×#104×C73C22semidirect
62. #407×C73C22semidirect
63. #407×C73C22semidirect
64. C4×M16×C73C22semidirect
69. C4×C4⋊C4×C73C22semidirect
70. C4×C22⋊C4×C73C22semidirect
71. C4×C22⋊C4×C73C22semidirect
72. #376×C73C22semidirect
73. #339×C73C22semidirect
74. #339×C73C22semidirect
75. #339×C73C22semidirect
76. #339×C73C22semidirect
91. C2×#41×C73C2×C4semidirect
92. C2×#41×C73C2×C4semidirect
97. C22×Q8×C73C2×C4semidirect
102. C22×D4×C73C2×C4semidirect
122. C4⋊Q8×C73C2×C4semidirect
124. #127×C73C2×C4semidirect
127. #124×C73C2×C4semidirect
128. #124×C73C2×C4semidirect
141. C22⋊Q8×C73C2×C4semidirect
142. C22⋊Q8×C73C2×C4semidirect
155. #121×C73C2×C4semidirect
156. #121×C73C2×C4semidirect
163. C4×Q8×C73C2×C4semidirect
164. C4×Q8×C73C2×C4semidirect
181. C4×D4×C73C2×C4semidirect
182. C4×D4×C73C2×C4semidirect
224. #104×C73D4semidirect
361. M16×C73C2×D4semidirect
425. C42×C73C2×D4semidirect
584. C22×C73#421semidirect
609. #22434C73direct (N × H)
623. D4×M16C2×C73semidirect
624. C2×#421C2×C73semidirect
625. C22×#104C2×C73semidirect
626. #2290C2×C73semidirect
627. #1980C2×C73semidirect
628. #1963C2×C73semidirect
629. #1897C2×C73semidirect
630. #1896C2×C73semidirect
631. #1871C2×C73semidirect
632. #1871C2×C73semidirect
633. #1806C2×C73semidirect
634. #1789C2×C73semidirect
635. #1789C2×C73semidirect
636. #1759C2×C73semidirect
637. C73#22434direct (N × H)
640. C22×M16C22×C73semidirect
641. C22×M16C22×C73semidirect
642. #550C4×C73semidirect
643. D4×Q8C4×C73semidirect
644. #548C4×C73semidirect
645. #548C4×C73semidirect
647. #547C4×C73semidirect
650. #546C4×C73semidirect
651. #546C4×C73semidirect
653. D42C4×C73semidirect
663. C2×#117C22×C73semidirect
664. C22×C42C22×C73semidirect
669. #423C22×C73semidirect
676. C2×#104C22×C73semidirect
677. C2×#104C22×C73semidirect
678. C2×#104C22×C73semidirect
679. C2×#104C22×C73semidirect
680. C2×#104C22×C73semidirect
681. C2×#104C22×C73semidirect
682. C2×#104C22×C73semidirect
683. C2×#104C22×C73semidirect
684. #407C22×C73semidirect
685. #407C22×C73semidirect
686. C4×M16C22×C73semidirect
691. C4×C4⋊C4C22×C73semidirect
692. C4×C22⋊C4C22×C73semidirect
693. C4×C22⋊C4C22×C73semidirect
694. #376C22×C73semidirect
695. #339C22×C73semidirect
696. #339C22×C73semidirect
697. #339C22×C73semidirect
698. #339C22×C73semidirect
713. C2×#41C2×C4×C73semidirect
714. C2×#41C2×C4×C73semidirect
719. C22×Q8C2×C4×C73semidirect
724. C22×D4C2×C4×C73semidirect
744. C4⋊Q8C2×C4×C73semidirect
746. #127C2×C4×C73semidirect
749. #124C2×C4×C73semidirect
750. #124C2×C4×C73semidirect
763. C22⋊Q8C2×C4×C73semidirect
764. C22⋊Q8C2×C4×C73semidirect
777. #121C2×C4×C73semidirect
778. #121C2×C4×C73semidirect
785. C4×Q8C2×C4×C73semidirect
786. C4×Q8C2×C4×C73semidirect
803. C4×D4C2×C4×C73semidirect
804. C4×D4C2×C4×C73semidirect
846. #104D4×C73semidirect
983. M16C2×D4×C73semidirect
1047. C42C2×D4×C73semidirect
1206. C22#421×C73semidirect

Maximal subgroups

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

subgroupindex
D4×#41×C732
D4×M16×C732
C2×#421×C732
C22×#104×C732
C73×#22902
C73×#19802
C73×#19632
C73×#18972
C73×#18962
C73×#18712
C73×#18062
C73×#17892
C73×#17592
#2243473