Finite Group Databasebeta

← C73×#18881 #32928285

Subgroups — C73×#18881 #32928285

Order 18688.

844 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#3523C211yesmaximal, characteristic
2C73×#3233C211yesmaximal, characteristic
3C73×#3231C211yesmaximal, characteristic, complemented
4C73×#3104C211yesmaximal, characteristic, complemented
5C73×#1653C211yesmaximal, characteristic, complemented
6C73×#1652C211yesmaximal, characteristic, complemented
7C73×#1649C211yesmaximal, characteristic, complemented
8C73×#1648C211yesmaximal, characteristic, complemented
9C73×#1638C211yesmaximal, characteristic, complemented
10C73×#1637C211yesmaximal, characteristic, complemented
11C73×#1636C211yesmaximal, characteristic, complemented
12C73×#1636C211yesmaximal, characteristic, complemented
13C73×#1544C211yesmaximal, characteristic, complemented
14C73×#1482C211yesmaximal, characteristic
15C73×#1479C211yesmaximal, characteristic, complemented
16#557×C73—21no—
17#557×C73C2211yescharacteristic
18#557×C73C2211yescharacteristic
19#556×C73—21no—
20#556×C73C2211yescharacteristic
21#552×C73—22no—
22#552×C73—21no—
23D4×Q8×C73—21no—
24D4×Q8×C73C2211yescharacteristic
25#541×C73—22no—
26#541×C73—21no—
27#533×C73—21no—
28#533×C73C2211yescharacteristic
29#533×C73C2211yescharacteristic
30#529×C73—21no—
31#529×C73C2211yescharacteristic
32#519×C73—21no—
33C2×C4×Q8×C73C2211yescharacteristic
34#500×C73C2211yescharacteristic
35#499×C73—21no—
36#498×C73C2211yescharacteristic
37#488×C73—21no—
38#487×C73C2211yescharacteristic
39#487×C73C2211yescharacteristic
40#485×C73—21no—
41#485×C73—22no—
42#484×C73—21no—
43#482×C73—21no—
44#479×C73—22no—
45#477×C73C2211yescharacteristic
46#477×C73C2211yescharacteristic
47#477×C73C2211yescharacteristic
48#476×C73C2211yescharacteristic
49#475×C73C2211yescharacteristic
50#474×C73C2211yescharacteristic
51#462×C73C2211yescharacteristic
52#462×C73C2211yescharacteristic
53#451×C73—21no—
54C4×Q16×C73—21no—
55C4×Q16×C73—21no—
56#431×C73C2211yescharacteristic
57#431×C73C2211yescharacteristic
58#431×C73C2211yescharacteristic
59#332×C73C2211yescharacteristic
60#332×C73C2211yescharacteristic
61#332×C73C2211yescharacteristic
62#332×C73C2211yescharacteristic
63Q8⋊C8×C73C2211yescharacteristic
64Q8⋊C8×C73C2211yescharacteristic
65Q8⋊C8×C73C2211yescharacteristic
66Q8⋊C8×C73C2211yescharacteristic
67Q8⋊C8×C73C2211yescharacteristic
68Q8⋊C8×C73C2211yescharacteristic
69D4⋊C8×C73C2211yescharacteristic
70D4⋊C8×C73C2211yescharacteristic
71C22×Q8×C73—21no—
72C22×Q8×C73D411yescharacteristic
73C2×Q16×C73—21no—
74C2×Q16×C73—21no—
75C4⋊Q8×C73—22no—
76C4⋊Q8×C73—21no—
77C4⋊Q8×C73—21no—
78C4⋊Q8×C73—21no—
79C4⋊Q8×C73C2311yescharacteristic
80C4⋊Q8×C73C2311yescharacteristic
81C4⋊Q8×C73C2311yescharacteristic
82C4⋊Q8×C73C2311yescharacteristic
83#126×C73—22no—
84#126×C73—22no—
85#126×C73—22no—
86#126×C73—22no—
87#126×C73—21no—
88#125×C73—22no—
89#125×C73—22no—
90#125×C73—22no—
91#125×C73—21no—
92#125×C73—22no—
93#125×C73—22no—
94#125×C73—21no—
95#125×C73—21no—
96#125×C73D412yes—
97#125×C73D411yescharacteristic
98#124×C73—21no—
99#124×C73D411yescharacteristic
100#123×C73—22no—
101#123×C73—21no—
102C22⋊Q8×C73—22no—
103C22⋊Q8×C73—22no—
104C22⋊Q8×C73—21no—
105C22⋊Q8×C73—21no—
106C22⋊Q8×C73—21no—
107C22⋊Q8×C73—21no—
108C22⋊Q8×C73—22no—
109C22⋊Q8×C73—21no—
110C22⋊Q8×C73—21no—
111C22⋊Q8×C73D411yescharacteristic
112#121×C73D411yescharacteristic
113C4×Q8×C73—22no—
114C4×Q8×C73—22no—
115C4×Q8×C73—21no—
116C4×Q8×C73—21no—
117C4×Q8×C73—21no—
118C4×Q8×C73—21no—
119C4×Q8×C73—21no—
120C4×Q8×C73—21no—
121C4×Q8×C73—21no—
122C4×Q8×C73—21no—
123C4×Q8×C73—21no—
124C4×Q8×C73—21no—
125C4×Q8×C73—21no—
126C4×Q8×C73D411yescharacteristic
127C4×Q8×C73D411yescharacteristic
128C4×Q8×C73C2311yescharacteristic
129C4×Q8×C73C2311yescharacteristic
130C4×Q8×C73C2311yescharacteristic
131C4×D4×C73—22no—
132C4×D4×C73—21no—
133C4×D4×C73—21no—
134C4×D4×C73C2311yescharacteristic
135#117×C73—22no—
136#117×C73—22no—
137#117×C73—22no—
138#117×C73—21no—
139#117×C73—21no—
140#117×C73—21no—
141#117×C73D412yes—
142C2×C4⋊C4×C73—21no—
143C2×C4⋊C4×C73D411yescharacteristic
144C2×C42×C73—21no—
145C2×C42×C73C2311yescharacteristic
146#107×C73—21no—
147#107×C73—21no—
148#107×C73—21no—
149#107×C73—21no—
150#107×C73—22no—
151#106×C73—21no—
152#106×C73—21no—
153#106×C73—22no—
154C4⋊C8×C73—21no—
155C4⋊C8×C73C2311yescharacteristic
156C4⋊C8×C73C2311yescharacteristic
157C4⋊C8×C73C2311yescharacteristic
158C4⋊C8×C73C2311yescharacteristic
159#103×C73—21no—
160#103×C73—21no—
161#103×C73—21no—
162#103×C73—21no—
163#103×C73—21no—
164#103×C73—21no—
165#103×C73—22no—
166#103×C73—22no—
167#102×C73—21no—
168#102×C73—21no—
169C22⋊C8×C73—21no—
170C22⋊C8×C73—21no—
171C22⋊C8×C73—21no—
172C4×C8×C73—21no—
173C4×C8×C73—21no—
174C4×C8×C73C2311yescharacteristic
175C4×C8×C73C2311yescharacteristic
176C2×Q8×C73—22no—
177C2×Q8×C73—21no—
178C2×Q8×C73—21no—
179C2×Q8×C73—21no—
180C2×Q8×C73—22no—
181C2×Q8×C73—21no—
182C2×Q8×C73—21no—
183C2×Q8×C73—41no—
184C2×Q8×C73—42no—
185C2×Q8×C73—42no—
186C2×Q8×C73C2×D411yescharacteristic
187C2×Q8×C73C2×D411yescharacteristic
188C2×Q8×C73C2×D411yescharacteristic
189C2×D4×C73—21no—
190C2×D4×C73C2×D411yescharacteristic
191C22×C4×C73—22no—
192C22×C4×C73—21no—
193C22×C4×C73—21no—
194C22×C4×C73—21no—
195C22×C4×C73C2×D411yescharacteristic
196C22×C4×C73C2×D411yescharacteristic
197C22×C4×C73C2×D411yescharacteristic
198Q16×C73—42no—
199Q16×C73—42no—
200C2×C8×C73—21no—
201C2×C8×C73—21no—
202C2×C8×C73—21no—
203C2×C8×C73—21no—
204C2×C8×C73—21no—
205C2×C8×C73—21no—
206C4⋊C4×C73—22no—
207C4⋊C4×C73—22no—
208C4⋊C4×C73—22no—
209C4⋊C4×C73—22no—
210C4⋊C4×C73—22no—
211C4⋊C4×C73—22no—
212C4⋊C4×C73—22no—
213C4⋊C4×C73—22no—
214C4⋊C4×C73—21no—
215C4⋊C4×C73—21no—
216C4⋊C4×C73—21no—
217C4⋊C4×C73—22no—
218C4⋊C4×C73—21no—
219C4⋊C4×C73—21no—
220C4⋊C4×C73—21no—
221C4⋊C4×C73—22no—
222C4⋊C4×C73—21no—
223C4⋊C4×C73—21no—
224C4⋊C4×C73—21no—
225C4⋊C4×C73—21no—
226C4⋊C4×C73—21no—
227C4⋊C4×C73—21no—
228C4⋊C4×C73—21no—
229C4⋊C4×C73—21no—
230C4⋊C4×C73—21no—
231C4⋊C4×C73—41no—
232C4⋊C4×C73—41no—
233C4⋊C4×C73C2×D412yes—
234C4⋊C4×C73C2×D411yescharacteristic
235C4⋊C4×C73C2×D411yescharacteristic
236C4⋊C4×C73C2×D412yes—
237C4⋊C4×C73C2×D411yescharacteristic
238C4⋊C4×C73C2×D411yescharacteristic
239C22⋊C4×C73—22no—
240C22⋊C4×C73—22no—
241C22⋊C4×C73—22no—
242C22⋊C4×C73—21no—
243C22⋊C4×C73—22no—
244C22⋊C4×C73—21no—
245C22⋊C4×C73—21no—
246C22⋊C4×C73—21no—
247C22⋊C4×C73—21no—
248C22⋊C4×C73—41no—
249C42×C73—22no—
250C42×C73—22no—
251C42×C73—22no—
252C42×C73—21no—
253C42×C73—21no—
254C42×C73—22no—
255C42×C73—21no—
256C42×C73—21no—
257C42×C73—21no—
258C42×C73—41no—
259C42×C73C2×D411yescharacteristic
260C42×C73C2×D411yescharacteristic
261C42×C73C2×D411yescharacteristic
262C42×C73C2411yescharacteristic
263C23×C73—21no—
264C23×C73#12011yescharacteristic
265Q8×C73—21no—
266Q8×C73—21no—
267Q8×C73—21no—
268Q8×C73—21no—
269Q8×C73—21no—
270Q8×C73—42no—
271Q8×C73—44no—
272Q8×C73—42no—
273Q8×C73—41no—
274Q8×C73—41no—
275Q8×C73—41no—
276Q8×C73—41no—
277Q8×C73—41no—
278Q8×C73—41no—
279Q8×C73#13512yes—
280D4×C73—21no—
281D4×C73—21no—
282D4×C73—42no—
283C2×C4×C73—21no—
284C2×C4×C73—21no—
285C2×C4×C73—21no—
286C2×C4×C73—21no—
287C2×C4×C73—21no—
288C2×C4×C73—21no—
289C2×C4×C73—21no—
290C2×C4×C73—22no—
291C2×C4×C73—21no—
292C2×C4×C73—21no—
293C2×C4×C73—21no—
294C2×C4×C73—21no—
295C2×C4×C73—22no—
296C2×C4×C73—41no—
297C2×C4×C73—42no—
298C2×C4×C73—44no—
299C2×C4×C73—42no—
300C2×C4×C73—41no—
301C2×C4×C73—41no—
302C2×C4×C73—41no—
303C2×C4×C73—41no—
304C2×C4×C73#12011yescharacteristic
305C2×C4×C73#12011yescharacteristic
306C2×C4×C73#12011yescharacteristic
307C2×C4×C73C22×D411yescharacteristic
308C2×C4×C73C22×D411yescharacteristic
309C2×C4×C73C22×D411yescharacteristic
310C8×C73—41no—
311C8×C73—41no—
312C8×C73—41no—
313C8×C73—41no—
314C8×C73—41no—
315C8×C73—41no—
316C22×C73—21no—
317C22×C73—21no—
318C22×C73—21no—
319C22×C73—41no—
320C22×C73—41no—
321C22×C73—41no—
322C22×C73C2×#12011yescharacteristic
323C4×C73—21no—
324C4×C73—22no—
325C4×C73—21no—
326C4×C73—21no—
327C4×C73—21no—
328C4×C73—41no—
329C4×C73—42no—
330C4×C73—41no—
331C4×C73—41no—
332C4×C73—42no—
333C4×C73—41no—
334C4×C73—41no—
335C4×C73—41no—
336C4×C73—81no—
337C4×C73—81no—
338C4×C73C2×#13511yescharacteristic
339C4×C73#57511yescharacteristic
340C4×C73#57811yescharacteristic
341C4×C73#57811yescharacteristic
342#18881C7311yesmaximal, characteristic, direct product factor, Sylow
343C2×C73—41no—
344C2×C73—81no—
345C2×C73#300211yescharacteristic
346C2×C73#301111yescharacteristic
347C2×C73#302011yescharacteristic
348#3523C2×C7311yescharacteristic
349#3233C2×C7311yescharacteristic
350#3231C2×C7311yescharacteristic, complemented
351#3104C2×C7311yescharacteristic, complemented
352#1653C2×C7311yescharacteristic, complemented
353#1652C2×C7311yescharacteristic, complemented
354#1649C2×C7311yescharacteristic, complemented
355#1648C2×C7311yescharacteristic, complemented
356#1638C2×C7311yescharacteristic, complemented
357#1637C2×C7311yescharacteristic, complemented
358#1636C2×C7311yescharacteristic, complemented
359#1636C2×C7311yescharacteristic, complemented
360#1544C2×C7311yescharacteristic, complemented
361#1482C2×C7311yescharacteristic
362#1479C2×C7311yescharacteristic, complemented
363C73#1888111yescharacteristic, direct product factor, Sylow
364#557—21no—
365#557C22×C7311yescharacteristic
366#557C22×C7311yescharacteristic
367#556—21no—
368#556C22×C7311yescharacteristic
369#552—22no—
370#552—21no—
371D4×Q8—21no—
372D4×Q8C22×C7311yescharacteristic
373#541—22no—
374#541—21no—
375#533—21no—
376#533C22×C7311yescharacteristic
377#533C22×C7311yescharacteristic
378#529—21no—
379#529C22×C7311yescharacteristic
380#519—21no—
381C2×C4×Q8C22×C7311yescharacteristic
382#500C22×C7311yescharacteristic
383#499—21no—
384#498C22×C7311yescharacteristic
385#488—21no—
386#487C22×C7311yescharacteristic
387#487C22×C7311yescharacteristic
388#485—21no—
389#485—22no—
390#484—21no—
391#482—21no—
392#479—22no—
393#477C22×C7311yescharacteristic
394#477C22×C7311yescharacteristic
395#477C22×C7311yescharacteristic
396#476C22×C7311yescharacteristic
397#475C22×C7311yescharacteristic
398#474C22×C7311yescharacteristic
399#462C22×C7311yescharacteristic
400#462C22×C7311yescharacteristic
401#451—21no—
402C4×Q16—21no—
403C4×Q16—21no—
404#431C22×C7311yescharacteristic
405#431C22×C7311yescharacteristic
406#431C22×C7311yescharacteristic
407#332C22×C7311yescharacteristic
408#332C22×C7311yescharacteristic
409#332C22×C7311yescharacteristic
410#332C22×C7311yescharacteristic
411Q8⋊C8C22×C7311yescharacteristic
412Q8⋊C8C22×C7311yescharacteristic
413Q8⋊C8C22×C7311yescharacteristic
414Q8⋊C8C22×C7311yescharacteristic
415Q8⋊C8C22×C7311yescharacteristic
416Q8⋊C8C22×C7311yescharacteristic
417D4⋊C8C22×C7311yescharacteristic
418D4⋊C8C22×C7311yescharacteristic
419C22×Q8—21no—
420C22×Q8D4×C7311yescharacteristic
421C2×Q16—21no—
422C2×Q16—21no—
423C4⋊Q8—22no—
424C4⋊Q8—21no—
425C4⋊Q8—21no—
426C4⋊Q8—21no—
427C4⋊Q8C23×C7311yescharacteristic
428C4⋊Q8C23×C7311yescharacteristic
429C4⋊Q8C23×C7311yescharacteristic
430C4⋊Q8C23×C7311yescharacteristic
431#126—22no—
432#126—22no—
433#126—22no—
434#126—22no—
435#126—21no—
436#125—22no—
437#125—22no—
438#125—22no—
439#125—21no—
440#125—22no—
441#125—22no—
442#125—21no—
443#125—21no—
444#125D4×C7311yescharacteristic
445#125D4×C7312yes—
446#124—21no—
447#124D4×C7311yescharacteristic
448#123—22no—
449#123—21no—
450C22⋊Q8—22no—
451C22⋊Q8—22no—
452C22⋊Q8—21no—
453C22⋊Q8—21no—
454C22⋊Q8—21no—
455C22⋊Q8—21no—
456C22⋊Q8—22no—
457C22⋊Q8—21no—
458C22⋊Q8—21no—
459C22⋊Q8D4×C7311yescharacteristic
460#121D4×C7311yescharacteristic
461C4×Q8—22no—
462C4×Q8—22no—
463C4×Q8—21no—
464C4×Q8—21no—
465C4×Q8—21no—
466C4×Q8—21no—
467C4×Q8—21no—
468C4×Q8—21no—
469C4×Q8—21no—
470C4×Q8—21no—
471C4×Q8—21no—
472C4×Q8—21no—
473C4×Q8—21no—
474C4×Q8D4×C7311yescharacteristic
475C4×Q8D4×C7311yescharacteristic
476C4×Q8C23×C7311yescharacteristic
477C4×Q8C23×C7311yescharacteristic
478C4×Q8C23×C7311yescharacteristic
479C4×D4—22no—
480C4×D4—21no—
481C4×D4—21no—
482C4×D4C23×C7311yescharacteristic
483#117—22no—
484#117—22no—
485#117—22no—
486#117—21no—
487#117—21no—
488#117—21no—
489#117D4×C7312yes—
490C2×C4⋊C4—21no—
491C2×C4⋊C4D4×C7311yescharacteristic
492C2×C42—21no—
493C2×C42C23×C7311yescharacteristic
494#107—21no—
495#107—21no—
496#107—21no—
497#107—21no—
498#107—22no—
499#106—21no—
500#106—21no—
501#106—22no—
502C4⋊C8—21no—
503C4⋊C8C23×C7311yescharacteristic
504C4⋊C8C23×C7311yescharacteristic
505C4⋊C8C23×C7311yescharacteristic
506C4⋊C8C23×C7311yescharacteristic
507#103—21no—
508#103—21no—
509#103—21no—
510#103—21no—
511#103—21no—
512#103—21no—
513#103—22no—
514#103—22no—
515#102—21no—
516#102—21no—
517C22⋊C8—21no—
518C22⋊C8—21no—
519C22⋊C8—21no—
520C4×C8—21no—
521C4×C8—21no—
522C4×C8C23×C7311yescharacteristic
523C4×C8C23×C7311yescharacteristic
524C2×Q8—22no—
525C2×Q8—21no—
526C2×Q8—21no—
527C2×Q8—21no—
528C2×Q8—22no—
529C2×Q8—21no—
530C2×Q8—21no—
531C2×Q8—41no—
532C2×Q8—42no—
533C2×Q8—42no—
534C2×Q8C2×D4×C7311yescharacteristic
535C2×Q8C2×D4×C7311yescharacteristic
536C2×Q8C2×D4×C7311yescharacteristic
537C2×D4—21no—
538C2×D4C2×D4×C7311yescharacteristic
539C22×C4—22no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4C2×D4×C7311yescharacteristic
544C22×C4C2×D4×C7311yescharacteristic
545C22×C4C2×D4×C7311yescharacteristic
546Q16—42no—
547Q16—42no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—22no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—22no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—41no—
580C4⋊C4—41no—
581C4⋊C4C2×D4×C7312yes—
582C4⋊C4C2×D4×C7311yescharacteristic
583C4⋊C4C2×D4×C7311yescharacteristic
584C4⋊C4C2×D4×C7312yes—
585C4⋊C4C2×D4×C7311yescharacteristic
586C4⋊C4C2×D4×C7311yescharacteristic
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—21no—
591C22⋊C4—22no—
592C22⋊C4—21no—
593C22⋊C4—21no—
594C22⋊C4—21no—
595C22⋊C4—21no—
596C22⋊C4—41no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—21no—
601C42—21no—
602C42—22no—
603C42—21no—
604C42—21no—
605C42—21no—
606C42—41no—
607C42C2×D4×C7311yescharacteristic
608C42C2×D4×C7311yescharacteristic
609C42C2×D4×C7311yescharacteristic
610C42C24×C7311yescharacteristic
611C23—21no—
612C23#120×C7311yescharacteristic
613Q8—21no—
614Q8—21no—
615Q8—21no—
616Q8—21no—
617Q8—21no—
618Q8—42no—
619Q8—44no—
620Q8—42no—
621Q8—41no—
622Q8—41no—
623Q8—41no—
624Q8—41no—
625Q8—41no—
626Q8—41no—
627Q8#135×C7312yes—
628D4—21no—
629D4—21no—
630D4—42no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—22no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—22no—
644C2×C4—41no—
645C2×C4—42no—
646C2×C4—44no—
647C2×C4—42no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4#120×C7311yescharacteristic
653C2×C4#120×C7311yescharacteristic
654C2×C4#120×C7311yescharacteristic
655C2×C4C22×D4×C7311yescharacteristic
656C2×C4C22×D4×C7311yescharacteristic
657C2×C4C22×D4×C7311yescharacteristic
658C8—41no—
659C8—41no—
660C8—41no—
661C8—41no—
662C8—41no—
663C8—41no—
664C22—21no—
665C22—21no—
666C22—21no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22C2×#120×C7311yescharacteristic
671C4—21no—
672C4—22no—
673C4—21no—
674C4—21no—
675C4—21no—
676C4—41no—
677C4—42no—
678C4—41no—
679C4—41no—
680C4—42no—
681C4—41no—
682C4—41no—
683C4—41no—
684C4—81no—
685C4—81no—
686C4C2×#135×C7311yescharacteristic
687C4#575×C7311yescharacteristic
688C4#578×C7311yescharacteristic
689C4#578×C7311yescharacteristic
690C2—41no—
691C2—81no—
692C2C73×#300211yescharacteristic
693C2C73×#301111yescharacteristic
694C2C73×#302011yescharacteristic
subgroupG/H
center, socleC22×C73C2×#120
commutator, Frattini, cosocleC42C24×C73
prime radical#121×C73D4
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C73 ◁ C2×C42×C73 ◁ G

Complements

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

NH ≅ G/Ntype
3. C73×#3231C2semidirect
4. C73×#3104C2semidirect
5. C73×#1653C2semidirect
6. C73×#1652C2semidirect
7. C73×#1649C2semidirect
8. C73×#1648C2semidirect
9. C73×#1638C2semidirect
10. C73×#1637C2semidirect
11. C73×#1636C2semidirect
12. C73×#1636C2semidirect
13. C73×#1544C2semidirect
15. C73×#1479C2semidirect
342. #18881C73direct (N × H)
350. #3231C2×C73semidirect
351. #3104C2×C73semidirect
352. #1653C2×C73semidirect
353. #1652C2×C73semidirect
354. #1649C2×C73semidirect
355. #1648C2×C73semidirect
356. #1638C2×C73semidirect
357. #1637C2×C73semidirect
358. #1636C2×C73semidirect
359. #1636C2×C73semidirect
360. #1544C2×C73semidirect
362. #1479C2×C73semidirect
363. C73#18881direct (N × H)

Maximal subgroups

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

subgroupindex
C73×#35232
C73×#32332
C73×#32312
C73×#31042
C73×#16532
C73×#16522
C73×#16492
C73×#16482
C73×#16382
C73×#16372
C73×#16362
C73×#15442
C73×#14822
C73×#14792
#1888173