Finite Group Databasebeta

← C73×#18825 #32928229

Subgroups — C73×#18825 #32928229

Order 18688.

846 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#3523C211yesmaximal, characteristic
2C73×#3252C211yesmaximal, characteristic
3C73×#3231C211yesmaximal, characteristic, complemented
4C73×#3078C211yesmaximal, characteristic, complemented
5C73×#1653C211yesmaximal, characteristic, complemented
6C73×#1651C211yesmaximal, characteristic, complemented
7C73×#1650C211yesmaximal, characteristic, complemented
8C73×#1648C211yesmaximal, characteristic, complemented
9C73×#1638C211yesmaximal, characteristic, complemented
10C73×#1637C211yesmaximal, characteristic, complemented
11C73×#1636C211yesmaximal, characteristic, complemented
12C73×#1636C211yesmaximal, characteristic, complemented
13C73×#1561C211yesmaximal, characteristic, complemented
14C73×#1495C211yesmaximal, characteristic
15C73×#1487C211yesmaximal, 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#498×C73C2211yescharacteristic
36#487×C73C2211yescharacteristic
37#487×C73C2211yescharacteristic
38#485×C73—22no—
39#479×C73—22no—
40#479×C73—21no—
41#479×C73—21no—
42#479×C73—21no—
43#477×C73C2211yescharacteristic
44#477×C73C2211yescharacteristic
45#477×C73C2211yescharacteristic
46#476×C73C2211yescharacteristic
47#475×C73C2211yescharacteristic
48#475×C73C2211yescharacteristic
49#470×C73—21no—
50#468×C73—21no—
51#464×C73—21no—
52#462×C73C2211yescharacteristic
53#461×C73C2211yescharacteristic
54#431×C73C2211yescharacteristic
55#428×C73—21no—
56#423×C73C2211yescharacteristic
57#423×C73C2211yescharacteristic
58#419×C73—21no—
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×SD16×C73—21no—
75C2×M16×C73—21no—
76C2×M16×C73—21no—
77C4⋊Q8×C73—22no—
78C4⋊Q8×C73—21no—
79C4⋊Q8×C73—21no—
80C4⋊Q8×C73—21no—
81C4⋊Q8×C73C2311yescharacteristic
82C4⋊Q8×C73C2311yescharacteristic
83C4⋊Q8×C73C2311yescharacteristic
84C4⋊Q8×C73C2311yescharacteristic
85#126×C73—22no—
86#126×C73—22no—
87#126×C73—22no—
88#126×C73—22no—
89#126×C73—21no—
90#125×C73—22no—
91#125×C73—22no—
92#125×C73—22no—
93#125×C73—21no—
94#125×C73—22no—
95#125×C73—22no—
96#125×C73—21no—
97#125×C73—21no—
98#125×C73D411yescharacteristic
99#125×C73D412yes—
100#124×C73—21no—
101#124×C73D411yescharacteristic
102#123×C73—22no—
103#123×C73—21no—
104C22⋊Q8×C73—22no—
105C22⋊Q8×C73—22no—
106C22⋊Q8×C73—21no—
107C22⋊Q8×C73—21no—
108C22⋊Q8×C73—21no—
109C22⋊Q8×C73—21no—
110C22⋊Q8×C73—22no—
111C22⋊Q8×C73—21no—
112C22⋊Q8×C73—21no—
113C22⋊Q8×C73D411yescharacteristic
114#121×C73D411yescharacteristic
115C4×Q8×C73—22no—
116C4×Q8×C73—22no—
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×C73—21no—
127C4×Q8×C73—21no—
128C4×Q8×C73D411yescharacteristic
129C4×Q8×C73D411yescharacteristic
130C4×Q8×C73C2311yescharacteristic
131C4×Q8×C73C2311yescharacteristic
132C4×Q8×C73C2311yescharacteristic
133C4×D4×C73—22no—
134C4×D4×C73—21no—
135C4×D4×C73—21no—
136C4×D4×C73C2311yescharacteristic
137#117×C73—22no—
138#117×C73—22no—
139#117×C73—22no—
140#117×C73—21no—
141#117×C73—21no—
142#117×C73—21no—
143#117×C73D412yes—
144C2×C4⋊C4×C73—21no—
145C2×C4⋊C4×C73D411yescharacteristic
146C2×C42×C73—21no—
147C2×C42×C73C2311yescharacteristic
148#107×C73—21no—
149#107×C73—21no—
150#107×C73—21no—
151#107×C73—22no—
152#106×C73—21no—
153#106×C73—21no—
154#106×C73—21no—
155#106×C73—22no—
156C4⋊C8×C73—21no—
157C4⋊C8×C73—21no—
158C4⋊C8×C73—21no—
159C4⋊C8×C73C2311yescharacteristic
160C4⋊C8×C73C2311yescharacteristic
161C4⋊C8×C73C2311yescharacteristic
162C4⋊C8×C73C2311yescharacteristic
163#103×C73—21no—
164#103×C73—21no—
165#103×C73—21no—
166#103×C73—21no—
167#103×C73—21no—
168#103×C73—21no—
169#103×C73—21no—
170#103×C73—22no—
171#103×C73—22no—
172#102×C73—21no—
173C22⋊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—81no—
199SD16×C73—81no—
200M16×C73—42no—
201M16×C73—81no—
202C2×C8×C73—21no—
203C2×C8×C73—21no—
204C2×C8×C73—21no—
205C2×C8×C73—21no—
206C2×C8×C73—21no—
207C2×C8×C73—21no—
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—22no—
215C4⋊C4×C73—22no—
216C4⋊C4×C73—21no—
217C4⋊C4×C73—21no—
218C4⋊C4×C73—21no—
219C4⋊C4×C73—22no—
220C4⋊C4×C73—21no—
221C4⋊C4×C73—21no—
222C4⋊C4×C73—21no—
223C4⋊C4×C73—22no—
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—21no—
232C4⋊C4×C73—21no—
233C4⋊C4×C73—41no—
234C4⋊C4×C73—41no—
235C4⋊C4×C73C2×D412yes—
236C4⋊C4×C73C2×D411yescharacteristic
237C4⋊C4×C73C2×D412yes—
238C4⋊C4×C73C2×D411yescharacteristic
239C4⋊C4×C73C2×D411yescharacteristic
240C4⋊C4×C73C2×D411yescharacteristic
241C22⋊C4×C73—22no—
242C22⋊C4×C73—22no—
243C22⋊C4×C73—22no—
244C22⋊C4×C73—21no—
245C22⋊C4×C73—22no—
246C22⋊C4×C73—21no—
247C22⋊C4×C73—21no—
248C22⋊C4×C73—21no—
249C22⋊C4×C73—21no—
250C22⋊C4×C73—41no—
251C42×C73—22no—
252C42×C73—22no—
253C42×C73—22no—
254C42×C73—21no—
255C42×C73—21no—
256C42×C73—22no—
257C42×C73—21no—
258C42×C73—21no—
259C42×C73—21no—
260C42×C73—41no—
261C42×C73C2×D411yescharacteristic
262C42×C73C2×D411yescharacteristic
263C42×C73C2×D411yescharacteristic
264C42×C73C2411yescharacteristic
265C23×C73—21no—
266C23×C73#12011yescharacteristic
267Q8×C73—21no—
268Q8×C73—21no—
269Q8×C73—21no—
270Q8×C73—21no—
271Q8×C73—21no—
272Q8×C73—42no—
273Q8×C73—44no—
274Q8×C73—42no—
275Q8×C73—41no—
276Q8×C73—41no—
277Q8×C73—41no—
278Q8×C73—41no—
279Q8×C73—41no—
280Q8×C73—41no—
281Q8×C73#13712yes—
282D4×C73—21no—
283D4×C73—21no—
284D4×C73—42no—
285C2×C4×C73—21no—
286C2×C4×C73—21no—
287C2×C4×C73—21no—
288C2×C4×C73—21no—
289C2×C4×C73—21no—
290C2×C4×C73—21no—
291C2×C4×C73—21no—
292C2×C4×C73—22no—
293C2×C4×C73—21no—
294C2×C4×C73—21no—
295C2×C4×C73—21no—
296C2×C4×C73—21no—
297C2×C4×C73—22no—
298C2×C4×C73—41no—
299C2×C4×C73—42no—
300C2×C4×C73—44no—
301C2×C4×C73—42no—
302C2×C4×C73—41no—
303C2×C4×C73—41no—
304C2×C4×C73—41no—
305C2×C4×C73—41no—
306C2×C4×C73#12011yescharacteristic
307C2×C4×C73#12011yescharacteristic
308C2×C4×C73#12011yescharacteristic
309C2×C4×C73C22×D411yescharacteristic
310C2×C4×C73C22×D411yescharacteristic
311C2×C4×C73C22×D411yescharacteristic
312C8×C73—41no—
313C8×C73—41no—
314C8×C73—41no—
315C8×C73—41no—
316C8×C73—41no—
317C8×C73—41no—
318C22×C73—21no—
319C22×C73—21no—
320C22×C73—21no—
321C22×C73—41no—
322C22×C73—41no—
323C22×C73—41no—
324C22×C73C2×#12011yescharacteristic
325C4×C73—21no—
326C4×C73—22no—
327C4×C73—21no—
328C4×C73—21no—
329C4×C73—21no—
330C4×C73—41no—
331C4×C73—42no—
332C4×C73—41no—
333C4×C73—41no—
334C4×C73—42no—
335C4×C73—41no—
336C4×C73—41no—
337C4×C73—41no—
338C4×C73—81no—
339C4×C73—81no—
340C4×C73C2×#13711yescharacteristic
341C4×C73#57511yescharacteristic
342C4×C73#57711yescharacteristic
343C4×C73#57811yescharacteristic
344#18825C7311yesmaximal, characteristic, direct product factor, Sylow
345C2×C73—41no—
346C2×C73—81no—
347C2×C73#300711yescharacteristic
348C2×C73#301311yescharacteristic
349C2×C73#302011yescharacteristic
350#3523C2×C7311yescharacteristic
351#3252C2×C7311yescharacteristic
352#3231C2×C7311yescharacteristic, complemented
353#3078C2×C7311yescharacteristic, complemented
354#1653C2×C7311yescharacteristic, complemented
355#1651C2×C7311yescharacteristic, complemented
356#1650C2×C7311yescharacteristic, complemented
357#1648C2×C7311yescharacteristic, complemented
358#1638C2×C7311yescharacteristic, complemented
359#1637C2×C7311yescharacteristic, complemented
360#1636C2×C7311yescharacteristic, complemented
361#1636C2×C7311yescharacteristic, complemented
362#1561C2×C7311yescharacteristic, complemented
363#1495C2×C7311yescharacteristic
364#1487C2×C7311yescharacteristic, complemented
365C73#1882511yescharacteristic, direct product factor, Sylow
366#557—21no—
367#557C22×C7311yescharacteristic
368#557C22×C7311yescharacteristic
369#556—21no—
370#556C22×C7311yescharacteristic
371#552—22no—
372#552—21no—
373D4×Q8—21no—
374D4×Q8C22×C7311yescharacteristic
375#541—22no—
376#541—21no—
377#533—21no—
378#533C22×C7311yescharacteristic
379#533C22×C7311yescharacteristic
380#529—21no—
381#529C22×C7311yescharacteristic
382#519—21no—
383C2×C4×Q8C22×C7311yescharacteristic
384#500C22×C7311yescharacteristic
385#498C22×C7311yescharacteristic
386#487C22×C7311yescharacteristic
387#487C22×C7311yescharacteristic
388#485—22no—
389#479—22no—
390#479—21no—
391#479—21no—
392#479—21no—
393#477C22×C7311yescharacteristic
394#477C22×C7311yescharacteristic
395#477C22×C7311yescharacteristic
396#476C22×C7311yescharacteristic
397#475C22×C7311yescharacteristic
398#475C22×C7311yescharacteristic
399#470—21no—
400#468—21no—
401#464—21no—
402#462C22×C7311yescharacteristic
403#461C22×C7311yescharacteristic
404#431C22×C7311yescharacteristic
405#428—21no—
406#423C22×C7311yescharacteristic
407#423C22×C7311yescharacteristic
408#419—21no—
409#332C22×C7311yescharacteristic
410#332C22×C7311yescharacteristic
411#332C22×C7311yescharacteristic
412#332C22×C7311yescharacteristic
413Q8⋊C8C22×C7311yescharacteristic
414Q8⋊C8C22×C7311yescharacteristic
415Q8⋊C8C22×C7311yescharacteristic
416Q8⋊C8C22×C7311yescharacteristic
417Q8⋊C8C22×C7311yescharacteristic
418Q8⋊C8C22×C7311yescharacteristic
419D4⋊C8C22×C7311yescharacteristic
420D4⋊C8C22×C7311yescharacteristic
421C22×Q8—21no—
422C22×Q8D4×C7311yescharacteristic
423C2×Q16—21no—
424C2×SD16—21no—
425C2×M16—21no—
426C2×M16—21no—
427C4⋊Q8—22no—
428C4⋊Q8—21no—
429C4⋊Q8—21no—
430C4⋊Q8—21no—
431C4⋊Q8C23×C7311yescharacteristic
432C4⋊Q8C23×C7311yescharacteristic
433C4⋊Q8C23×C7311yescharacteristic
434C4⋊Q8C23×C7311yescharacteristic
435#126—22no—
436#126—22no—
437#126—22no—
438#126—22no—
439#126—21no—
440#125—22no—
441#125—22no—
442#125—22no—
443#125—21no—
444#125—22no—
445#125—22no—
446#125—21no—
447#125—21no—
448#125D4×C7311yescharacteristic
449#125D4×C7312yes—
450#124—21no—
451#124D4×C7311yescharacteristic
452#123—22no—
453#123—21no—
454C22⋊Q8—22no—
455C22⋊Q8—22no—
456C22⋊Q8—21no—
457C22⋊Q8—21no—
458C22⋊Q8—21no—
459C22⋊Q8—21no—
460C22⋊Q8—22no—
461C22⋊Q8—21no—
462C22⋊Q8—21no—
463C22⋊Q8D4×C7311yescharacteristic
464#121D4×C7311yescharacteristic
465C4×Q8—22no—
466C4×Q8—22no—
467C4×Q8—21no—
468C4×Q8—21no—
469C4×Q8—21no—
470C4×Q8—21no—
471C4×Q8—21no—
472C4×Q8—21no—
473C4×Q8—21no—
474C4×Q8—21no—
475C4×Q8—21no—
476C4×Q8—21no—
477C4×Q8—21no—
478C4×Q8D4×C7311yescharacteristic
479C4×Q8D4×C7311yescharacteristic
480C4×Q8C23×C7311yescharacteristic
481C4×Q8C23×C7311yescharacteristic
482C4×Q8C23×C7311yescharacteristic
483C4×D4—22no—
484C4×D4—21no—
485C4×D4—21no—
486C4×D4C23×C7311yescharacteristic
487#117—22no—
488#117—22no—
489#117—22no—
490#117—21no—
491#117—21no—
492#117—21no—
493#117D4×C7312yes—
494C2×C4⋊C4—21no—
495C2×C4⋊C4D4×C7311yescharacteristic
496C2×C42—21no—
497C2×C42C23×C7311yescharacteristic
498#107—21no—
499#107—21no—
500#107—21no—
501#107—22no—
502#106—21no—
503#106—21no—
504#106—21no—
505#106—22no—
506C4⋊C8—21no—
507C4⋊C8—21no—
508C4⋊C8—21no—
509C4⋊C8C23×C7311yescharacteristic
510C4⋊C8C23×C7311yescharacteristic
511C4⋊C8C23×C7311yescharacteristic
512C4⋊C8C23×C7311yescharacteristic
513#103—21no—
514#103—21no—
515#103—21no—
516#103—21no—
517#103—21no—
518#103—21no—
519#103—21no—
520#103—22no—
521#103—22no—
522#102—21no—
523C22⋊C8—21no—
524C4×C8C23×C7311yescharacteristic
525C4×C8C23×C7311yescharacteristic
526C2×Q8—22no—
527C2×Q8—21no—
528C2×Q8—21no—
529C2×Q8—21no—
530C2×Q8—22no—
531C2×Q8—21no—
532C2×Q8—21no—
533C2×Q8—41no—
534C2×Q8—42no—
535C2×Q8—42no—
536C2×Q8C2×D4×C7311yescharacteristic
537C2×Q8C2×D4×C7311yescharacteristic
538C2×Q8C2×D4×C7311yescharacteristic
539C2×D4—21no—
540C2×D4C2×D4×C7311yescharacteristic
541C22×C4—22no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4C2×D4×C7311yescharacteristic
546C22×C4C2×D4×C7311yescharacteristic
547C22×C4C2×D4×C7311yescharacteristic
548Q16—81no—
549SD16—81no—
550M16—42no—
551M16—81no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
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—22no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—41no—
584C4⋊C4—41no—
585C4⋊C4C2×D4×C7312yes—
586C4⋊C4C2×D4×C7311yescharacteristic
587C4⋊C4C2×D4×C7312yes—
588C4⋊C4C2×D4×C7311yescharacteristic
589C4⋊C4C2×D4×C7311yescharacteristic
590C4⋊C4C2×D4×C7311yescharacteristic
591C22⋊C4—22no—
592C22⋊C4—22no—
593C22⋊C4—22no—
594C22⋊C4—21no—
595C22⋊C4—22no—
596C22⋊C4—21no—
597C22⋊C4—21no—
598C22⋊C4—21no—
599C22⋊C4—21no—
600C22⋊C4—41no—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—21no—
605C42—21no—
606C42—22no—
607C42—21no—
608C42—21no—
609C42—21no—
610C42—41no—
611C42C2×D4×C7311yescharacteristic
612C42C2×D4×C7311yescharacteristic
613C42C2×D4×C7311yescharacteristic
614C42C24×C7311yescharacteristic
615C23—21no—
616C23#120×C7311yescharacteristic
617Q8—21no—
618Q8—21no—
619Q8—21no—
620Q8—21no—
621Q8—21no—
622Q8—42no—
623Q8—44no—
624Q8—42no—
625Q8—41no—
626Q8—41no—
627Q8—41no—
628Q8—41no—
629Q8—41no—
630Q8—41no—
631Q8#137×C7312yes—
632D4—21no—
633D4—21no—
634D4—42no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—22no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—22no—
648C2×C4—41no—
649C2×C4—42no—
650C2×C4—44no—
651C2×C4—42no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4#120×C7311yescharacteristic
657C2×C4#120×C7311yescharacteristic
658C2×C4#120×C7311yescharacteristic
659C2×C4C22×D4×C7311yescharacteristic
660C2×C4C22×D4×C7311yescharacteristic
661C2×C4C22×D4×C7311yescharacteristic
662C8—41no—
663C8—41no—
664C8—41no—
665C8—41no—
666C8—41no—
667C8—41no—
668C22—21no—
669C22—21no—
670C22—21no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22C2×#120×C7311yescharacteristic
675C4—21no—
676C4—22no—
677C4—21no—
678C4—21no—
679C4—21no—
680C4—41no—
681C4—42no—
682C4—41no—
683C4—41no—
684C4—42no—
685C4—41no—
686C4—41no—
687C4—41no—
688C4—81no—
689C4—81no—
690C4C2×#137×C7311yescharacteristic
691C4#575×C7311yescharacteristic
692C4#577×C7311yescharacteristic
693C4#578×C7311yescharacteristic
694C2—41no—
695C2—81no—
696C2C73×#300711yescharacteristic
697C2C73×#301311yescharacteristic
698C2C73×#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×#3078C2semidirect
5. C73×#1653C2semidirect
6. C73×#1651C2semidirect
7. C73×#1650C2semidirect
8. C73×#1648C2semidirect
9. C73×#1638C2semidirect
10. C73×#1637C2semidirect
11. C73×#1636C2semidirect
12. C73×#1636C2semidirect
13. C73×#1561C2semidirect
15. C73×#1487C2semidirect
344. #18825C73direct (N × H)
352. #3231C2×C73semidirect
353. #3078C2×C73semidirect
354. #1653C2×C73semidirect
355. #1651C2×C73semidirect
356. #1650C2×C73semidirect
357. #1648C2×C73semidirect
358. #1638C2×C73semidirect
359. #1637C2×C73semidirect
360. #1636C2×C73semidirect
361. #1636C2×C73semidirect
362. #1561C2×C73semidirect
364. #1487C2×C73semidirect
365. C73#18825direct (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×#32522
C73×#32312
C73×#30782
C73×#16532
C73×#16512
C73×#16502
C73×#16482
C73×#16382
C73×#16372
C73×#16362
C73×#15612
C73×#14952
C73×#14872
#1882573