Finite Group Databasebeta

← #33295789

Subgroups — #33295789

Order 18688.

1610 conjugacy classes of subgroups.

The subgroup lattice has 1392 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22618268C211yesmaximal, characteristic, complemented
2#22618257C211yesmaximal, characteristic
3#22617847C211yesmaximal, characteristic, complemented
4#22617826C211yesmaximal, characteristic, complemented
5#22617732C211yesmaximal, characteristic, complemented
6#22617673C211yesmaximal, characteristic, complemented
7#22617616C211yesmaximal, characteristic, complemented
8#22617583C211yesmaximal, characteristic, complemented
9#22617089C211yesmaximal, characteristic, complemented
10#22617016C211yesmaximal, characteristic, complemented
11#22616918C211yesmaximal, characteristic, complemented
12#22616878C211yesmaximal, characteristic, complemented
13#22616641C211yesmaximal, characteristic, complemented
14#22616540C211yesmaximal, characteristic
15#22616461C211yesmaximal, characteristic, complemented
16#22616274C211yesmaximal, characteristic, complemented
17#22616206C211yesmaximal, characteristic, complemented
18#22616016C211yesmaximal, characteristic, complemented
19#22615946C211yesmaximal, characteristic, complemented
20#22615605C211yesmaximal, characteristic, complemented
21#22615524C211yesmaximal, characteristic, complemented
22#22615521C211yesmaximal, characteristic, complemented
23#22615395C211yesmaximal, characteristic, complemented
24#22615068C211yesmaximal, characteristic, complemented
25#22614945C211yesmaximal, characteristic, complemented
26#22614083C211yesmaximal, characteristic, complemented
27#22614020C211yesmaximal, characteristic, complemented
28#22612703C211yesmaximal, characteristic, complemented
29#22612538C211yesmaximal, characteristic, complemented
30#22612410C211yesmaximal, characteristic, complemented
31C73×#2686C211yesmaximal, characteristic
32C2×#14556589C2211yescharacteristic
33C2×#14556584C2211yescharacteristic
34C2×#14556584C2211yescharacteristic
35C2×#14556581C2211yescharacteristic
36C2×#14556572C2211yescharacteristic
37C2×#14556572C2211yescharacteristic
38C2×#14556572C2211yescharacteristic
39C2×#14556568C2211yescharacteristic
40C2×#14556568C2211yescharacteristic
41C2×#14556550C2211yescharacteristic
42C2×#14556547C2211yescharacteristic
43C2×#14556547C2211yescharacteristic
44C22×C4×Dic73C2211yescharacteristic
45#17988529C2211yescharacteristic
46#17988529C2211yescharacteristic
47#17988528C2211yescharacteristic
48#17988528C2211yescharacteristic
49#17988528C2211yescharacteristic
50#17988528C2211yescharacteristic
51#17988528C2211yescharacteristic
52#17988523C2211yescharacteristic
53#17988521C2211yescharacteristic
54#17988521C2211yescharacteristic
55#17988521C2211yescharacteristic
56#17988521C2211yescharacteristic
57#17988521C2211yescharacteristic
58#17988520C2211yescharacteristic
59#17988520C2211yescharacteristic
60#17988519C2211yescharacteristic
61#17988519C2211yescharacteristic
62#17988517C2211yescharacteristic
63#17988517C2211yescharacteristic
64#17988515C2211yescharacteristic
65#17988515C2211yescharacteristic
66#17988515C2211yescharacteristic
67#17988515C2211yescharacteristic
68#17988515C2211yescharacteristic
69#17988515C2211yescharacteristic
70#17988510C2211yescharacteristic
71#17988510C2211yescharacteristic
72#17988510C2211yescharacteristic
73#17988510C2211yescharacteristic
74#17988510C2211yescharacteristic
75#17988510C2211yescharacteristic
76#17988510C2211yescharacteristic
77#17988510C2211yescharacteristic
78#17988510C2211yescharacteristic
79#17988510C2211yescharacteristic
80#17988507C2211yescharacteristic
81#17988506C2211yescharacteristic
82#17988506C2211yescharacteristic
83#17988501C2211yescharacteristic
84#17988501C2211yescharacteristic
85#17988501C2211yescharacteristic
86#17988499C2211yescharacteristic
87#17988494C2211yescharacteristic
88#17988491C2211yescharacteristic
89#17988491C2211yescharacteristic
90#17988490C2211yescharacteristic
91#17988490C2211yescharacteristic
92#17988490C2211yescharacteristic
93#17988485C2211yescharacteristic
94#17988484C2211yescharacteristic
95#17988484C2211yescharacteristic
96#17988484C2211yescharacteristic
97#17988484C2211yescharacteristic
98#17988484C2211yescharacteristic
99#17988484C2211yescharacteristic
100#17988484C2211yescharacteristic
101#17988484C2211yescharacteristic
102#17988483C2211yescharacteristic
103#17988483C2211yescharacteristic
104#17988483C2211yescharacteristic
105#17988482C2211yescharacteristic
106#17988482C2211yescharacteristic
107#17988482C2211yescharacteristic
108#17988482C2211yescharacteristic
109#17988481C2211yescharacteristic
110#17988481C2211yescharacteristic
111#17988481C2211yescharacteristic
112#17988481C2211yescharacteristic
113#17988481C2211yescharacteristic
114#17988481C2211yescharacteristic
115#17988480C2211yescharacteristic
116#17988480C2211yescharacteristic
117#17988480C2211yescharacteristic
118#17988475C2211yescharacteristic
119#17988475C2211yescharacteristic
120#17988475C2211yescharacteristic
121#17988475C2211yescharacteristic
122#17988475C2211yescharacteristic
123#17988475C2211yescharacteristic
124#17988475C2211yescharacteristic
125#17988475C2211yescharacteristic
126#17988475C2211yescharacteristic
127#17988475C2211yescharacteristic
128#17988474C2211yescharacteristic
129#17988474C2211yescharacteristic
130#17988474C2211yescharacteristic
131#17988473C2211yescharacteristic
132#17988472C2211yescharacteristic
133#17988472C2211yescharacteristic
134#17988472C2211yescharacteristic
135#17988472C2211yescharacteristic
136#17988472C2211yescharacteristic
137#17988471C2211yescharacteristic
138#17988471C2211yescharacteristic
139#17988470C2211yescharacteristic
140#17988470C2211yescharacteristic
141#17988470C2211yescharacteristic
142#17988470C2211yescharacteristic
143#17988470C2211yescharacteristic
144#17988468C2211yescharacteristic
145#17988467C2211yescharacteristic
146#17988467C2211yescharacteristic
147#17988467C2211yescharacteristic
148#17988462C2211yescharacteristic
149#17988462C2211yescharacteristic
150#17988462C2211yescharacteristic
151#17988460C2211yescharacteristic
152#17988460C2211yescharacteristic
153#17988460C2211yescharacteristic
154#17988459C2211yescharacteristic
155#17988459C2211yescharacteristic
156#17988459C2211yescharacteristic
157#17988459C2211yescharacteristic
158#17988456C2211yescharacteristic
159#17988452C2211yescharacteristic
160#17988451C2211yescharacteristic
161#17988450C2211yescharacteristic
162#17988447C2211yescharacteristic
163#17988447C2211yescharacteristic
164#17988445C2211yescharacteristic
165C4⋊C4×Dic73C2211yescharacteristic
166C4⋊C4×Dic73C2211yescharacteristic
167C4⋊C4×Dic73C2211yescharacteristic
168C4×#11924007C2211yescharacteristic
169#17988438C2211yescharacteristic
170#17988438C2211yescharacteristic
171C22⋊C4×Dic73C2211yescharacteristic
172C2×#124×C73C2211yescharacteristic
173C2×#121×C73C2211yescharacteristic
174#397×C73C2211yescharacteristic
175#395×C73C2211yescharacteristic
176#394×C73C2211yescharacteristic
177#394×C73C2211yescharacteristic
178#394×C73C2211yescharacteristic
179#393×C73C2211yescharacteristic
180#388×C73C2211yescharacteristic
181#387×C73C2211yescharacteristic
182#386×C73C2211yescharacteristic
183#386×C73C2211yescharacteristic
184#385×C73C2211yescharacteristic
185#381×C73C2211yescharacteristic
186#380×C73C2211yescharacteristic
187C22×Dic146C2311yescharacteristic
188C23×Dic73C2311yescharacteristic
189C23×Dic73C2311yescharacteristic
190C23×Dic73C2311yescharacteristic
191#14556589—42no—
192#14556584—24no—
193#14556584—42no—
194#14556581—42no—
195#14556572—42no—
196#14556572—42no—
197#14556572—42no—
198#14556568—42no—
199#14556568—42no—
200#14556550—24no—
201#14556547—24no—
202#14556547—42no—
203C2×C4⋊Dic73C2311yescharacteristic
204C2×C4⋊Dic73C2311yescharacteristic
205C2×C4⋊Dic73C2311yescharacteristic
206C2×C4⋊Dic73C2311yescharacteristic
207C2×C4⋊Dic73C2311yescharacteristic
208C2×C4⋊Dic73C2311yescharacteristic
209C2×C4⋊Dic73C2311yescharacteristic
210C2×C4⋊Dic73C2311yescharacteristic
211C2×C4⋊Dic73C2311yescharacteristic
212C2×C4⋊Dic73C2311yescharacteristic
213C2×C4⋊Dic73C2311yescharacteristic
214C2×C4⋊Dic73C2311yescharacteristic
215C2×#11924007C2311yescharacteristic
216C2×#11924007C2311yescharacteristic
217C2×#11924007C2311yescharacteristic
218C2×#11924007C2311yescharacteristic
219C2×#11924007C2311yescharacteristic
220C2×#11924007C2311yescharacteristic
221C2×#11924007C2311yescharacteristic
222C2×#11924007C2311yescharacteristic
223C2×#11924007C2311yescharacteristic
224C2×#11924007C2311yescharacteristic
225C2×#11924007C2311yescharacteristic
226C2×#11924007C2311yescharacteristic
227C2×#11924007C2311yescharacteristic
228C2×#11924007C2311yescharacteristic
229C2×#11924007C2311yescharacteristic
230C2×#11924007C2311yescharacteristic
231C2×#11924007C2311yescharacteristic
232C2×#11924007C2311yescharacteristic
233C2×#11924007C2311yescharacteristic
234C2×#11924007C2311yescharacteristic
235C2×#11924007C2311yescharacteristic
236C2×#11924007C2311yescharacteristic
237C2×#11924007C2311yescharacteristic
238C2×#11924007C2311yescharacteristic
239C2×#11924007C2311yescharacteristic
240C2×#11924007C2311yescharacteristic
241C2×#11924007C2311yescharacteristic
242C2×#11924007C2311yescharacteristic
243C2×#11924007C2311yescharacteristic
244C2×#11924007C2311yescharacteristic
245C2×C22⋊Dic73C2311yescharacteristic
246C2×C22⋊Dic73C2311yescharacteristic
247C2×C22⋊Dic73C2311yescharacteristic
248C2×C22⋊Dic73C2311yescharacteristic
249C2×C22⋊Dic73C2311yescharacteristic
250C2×C22⋊Dic73C2311yescharacteristic
251C2×C22⋊Dic73C2311yescharacteristic
252C2×C22⋊Dic73C2311yescharacteristic
253C2×C22⋊Dic73C2311yescharacteristic
254C2×C22⋊Dic73C2311yescharacteristic
255C2×C22⋊Dic73C2311yescharacteristic
256C2×C22⋊Dic73C2311yescharacteristic
257C2×C22⋊Dic73C2311yescharacteristic
258C2×C22⋊Dic73C2311yescharacteristic
259C2×C22⋊Dic73C2311yescharacteristic
260C2×C22⋊Dic73C2311yescharacteristic
261C2×C22⋊Dic73C2311yescharacteristic
262C2×C22⋊Dic73C2311yescharacteristic
263C2×C22⋊Dic73C2311yescharacteristic
264C2×C22⋊Dic73C2311yescharacteristic
265C2×C22⋊Dic73C2311yescharacteristic
266C2×C4×Dic73—42no—
267C2×C4×Dic73C2311yescharacteristic
268C2×C4×Dic73C2311yescharacteristic
269C2×C4×Dic73C2311yescharacteristic
270C2×C4×Dic73C2311yescharacteristic
271C2×C4×Dic73C2311yescharacteristic
272C2×C4×Dic73C2311yescharacteristic
273C2×C4×Dic73C2311yescharacteristic
274C2×C4×Dic73C2311yescharacteristic
275C2×C4×Dic73C2311yescharacteristic
276C2×C4×Dic73C2311yescharacteristic
277C2×C4×Dic73C2311yescharacteristic
278C2×C4×Dic73C2311yescharacteristic
279C2×C4×Dic73C2311yescharacteristic
280#14556498C2311yescharacteristic
281#14556498C2311yescharacteristic
282#14556498C2311yescharacteristic
283#14556498C2311yescharacteristic
284#14556498C2311yescharacteristic
285#14556498C2311yescharacteristic
286#14556498C2311yescharacteristic
287#14556498C2311yescharacteristic
288#14556498C2311yescharacteristic
289#14556498C2311yescharacteristic
290#14556498C2311yescharacteristic
291#14556498C2311yescharacteristic
292#14556498C2311yescharacteristic
293#14556498C2311yescharacteristic
294#14556498C2311yescharacteristic
295#14556498C2311yescharacteristic
296#14556498C2311yescharacteristic
297#14556498C2311yescharacteristic
298#14556498C2311yescharacteristic
299#14556498C2311yescharacteristic
300#14556498C2311yescharacteristic
301#14556498C2311yescharacteristic
302#14556498C2311yescharacteristic
303#14556498C2311yescharacteristic
304#14556498C2311yescharacteristic
305#14556498C2311yescharacteristic
306#14556498C2311yescharacteristic
307#14556498C2311yescharacteristic
308#14556498C2311yescharacteristic
309#14556498C2311yescharacteristic
310#14556498C2311yescharacteristic
311#14556498C2311yescharacteristic
312#14556498C2311yescharacteristic
313#14556498C2311yescharacteristic
314#14556498C2311yescharacteristic
315#14556498C2311yescharacteristic
316#14556498C2311yescharacteristic
317#14556498C2311yescharacteristic
318#14556498C2311yescharacteristic
319#14556498C2311yescharacteristic
320C22×Q8×C73C2311yescharacteristic
321C22×D4×C73C2311yescharacteristic
322C22×D4×C73C2311yescharacteristic
323C22×D4×C73C2311yescharacteristic
324C23×C4×C73C2311yescharacteristic
325C23×C4×C73C2311yescharacteristic
326#124×C73—42no—
327#121×C73—42no—
328C2×C4⋊C4×C73C2311yescharacteristic
329C2×C4⋊C4×C73C2311yescharacteristic
330C2×C4⋊C4×C73C2311yescharacteristic
331C2×C4⋊C4×C73C2311yescharacteristic
332C2×C4⋊C4×C73C2311yescharacteristic
333C2×C22⋊C4×C73C2311yescharacteristic
334C2×C22⋊C4×C73C2311yescharacteristic
335C2×C22⋊C4×C73C2311yescharacteristic
336C2×C22⋊C4×C73C2311yescharacteristic
337C2×C22⋊C4×C73C2311yescharacteristic
338C2×C22⋊C4×C73C2311yescharacteristic
339C2×C22⋊C4×C73C2311yescharacteristic
340C2×C22⋊C4×C73C2311yescharacteristic
341C2×C22⋊C4×C73C2311yescharacteristic
342C2×C22⋊C4×C73C2311yescharacteristic
343C2×C22⋊C4×C73C2311yescharacteristic
344C2×C22⋊C4×C73C2311yescharacteristic
345C2×C22⋊C4×C73C2311yescharacteristic
346C2×C42×C73C2311yescharacteristic
347#95×C73C2311yescharacteristic
348#95×C73C2311yescharacteristic
349#95×C73C2311yescharacteristic
350#95×C73C2311yescharacteristic
351#95×C73C2311yescharacteristic
352#95×C73C2311yescharacteristic
353#95×C73C2311yescharacteristic
354#95×C73C2311yescharacteristic
355#95×C73C2311yescharacteristic
356#95×C73C2311yescharacteristic
357C2×Dic146—22no—
358C2×Dic146—41no—
359C2×Dic146—41no—
360C22×Dic73—22no—
361C22×Dic73—22no—
362C22×Dic73—22no—
363C22×Dic73—22no—
364C22×Dic73—22no—
365C22×Dic73—41no—
366C22×Dic73—41no—
367C22×Dic73—41no—
368C22×Dic73—41no—
369C22×Dic73C2411yescharacteristic
370C22×Dic73C2411yescharacteristic
371C22×Dic73C2411yescharacteristic
372C22×Dic73C2411yescharacteristic
373C22×Dic73C2411yescharacteristic
374C22×Dic73C2411yescharacteristic
375C22×Dic73C2411yescharacteristic
376C22×Dic73C2411yescharacteristic
377C22×Dic73C2411yescharacteristic
378C22×Dic73C2411yescharacteristic
379C22×Dic73C2411yescharacteristic
380C22×Dic73C2411yescharacteristic
381C22×Dic73C2411yescharacteristic
382C22×Dic73C2411yescharacteristic
383C22×Dic73C2411yescharacteristic
384C22×Dic73C2411yescharacteristic
385C4⋊Dic73—22no—
386C4⋊Dic73—22no—
387C4⋊Dic73—22no—
388C4⋊Dic73—22no—
389C4⋊Dic73—22no—
390C4⋊Dic73—22no—
391C4⋊Dic73—41no—
392C4⋊Dic73—41no—
393C4⋊Dic73—41no—
394C4⋊Dic73—41no—
395C4⋊Dic73—41no—
396C4⋊Dic73—41no—
397#11924007—22no—
398#11924007—22no—
399#11924007—22no—
400#11924007—22no—
401#11924007—22no—
402#11924007—22no—
403#11924007—22no—
404#11924007—22no—
405#11924007—22no—
406#11924007—22no—
407#11924007—41no—
408#11924007—41no—
409#11924007—41no—
410#11924007—41no—
411#11924007—41no—
412#11924007—41no—
413#11924007—41no—
414#11924007—41no—
415#11924007—41no—
416#11924007—41no—
417#11924007—41no—
418#11924007—41no—
419#11924007—41no—
420#11924007—41no—
421#11924007—41no—
422#11924007—41no—
423#11924007—41no—
424#11924007—41no—
425#11924007—41no—
426#11924007—41no—
427C22⋊Dic73—22no—
428C22⋊Dic73—22no—
429C22⋊Dic73—22no—
430C22⋊Dic73—22no—
431C22⋊Dic73—22no—
432C22⋊Dic73—22no—
433C22⋊Dic73—22no—
434C22⋊Dic73—22no—
435C22⋊Dic73—22no—
436C22⋊Dic73—22no—
437C22⋊Dic73—22no—
438C22⋊Dic73—41no—
439C22⋊Dic73—41no—
440C22⋊Dic73—41no—
441C22⋊Dic73—41no—
442C22⋊Dic73—41no—
443C22⋊Dic73—41no—
444C22⋊Dic73—41no—
445C22⋊Dic73—41no—
446C22⋊Dic73—41no—
447C22⋊Dic73—41no—
448C4×Dic73—22no—
449C4×Dic73—22no—
450C4×Dic73—41no—
451C4×Dic73—41no—
452C4×Dic73—41no—
453C4×Dic73—41no—
454C4×Dic73—41no—
455C4×Dic73—41no—
456C4×Dic73—41no—
457C4×Dic73—41no—
458C4×Dic73—41no—
459C4×Dic73—41no—
460C4×Dic73#4114yes—
461C24×C73C2411yescharacteristic
462C24×C73C2411yescharacteristic
463C24×C73C2411yescharacteristic
464C2×Q8×C73—41no—
465C2×Q8×C73—41no—
466C2×Q8×C73—41no—
467C2×D4×C73—22no—
468C2×D4×C73—22no—
469C2×D4×C73—22no—
470C2×D4×C73—41no—
471C2×D4×C73—41no—
472C2×D4×C73—41no—
473C2×D4×C73—41no—
474C2×D4×C73—41no—
475C2×D4×C73—41no—
476C22×C4×C73—22no—
477C22×C4×C73—22no—
478C22×C4×C73—22no—
479C22×C4×C73—41no—
480C22×C4×C73—41no—
481C22×C4×C73—41no—
482C22×C4×C73C2411yescharacteristic
483C22×C4×C73C2411yescharacteristic
484C22×C4×C73C2411yescharacteristic
485C22×C4×C73C2411yescharacteristic
486C22×C4×C73C2411yescharacteristic
487C22×C4×C73C2411yescharacteristic
488C22×C4×C73C2411yescharacteristic
489C22×C4×C73C2411yescharacteristic
490C22×C4×C73C2411yescharacteristic
491C22×C4×C73C2411yescharacteristic
492C22×C4×C73C2411yescharacteristic
493C22×C4×C73C2411yescharacteristic
494C4⋊C4×C73—22no—
495C4⋊C4×C73—41no—
496C4⋊C4×C73—41no—
497C4⋊C4×C73—41no—
498C4⋊C4×C73—41no—
499C22⋊C4×C73—22no—
500C22⋊C4×C73—22no—
501C22⋊C4×C73—22no—
502C22⋊C4×C73—22no—
503C22⋊C4×C73—41no—
504C22⋊C4×C73—41no—
505C22⋊C4×C73—41no—
506C22⋊C4×C73—41no—
507C22⋊C4×C73—41no—
508C22⋊C4×C73—41no—
509C22⋊C4×C73—41no—
510C22⋊C4×C73—41no—
511C22⋊C4×C73—41no—
512C42×C73—41no—
513C23×C73—21no—
514C23×C73—21no—
515C23×C73—21no—
516C23×C73—21no—
517C23×C73—21no—
518C23×C73—21no—
519C23×C73—21no—
520C23×C73—21no—
521C23×C73—21no—
522C23×C73—21no—
523C23×C73—21no—
524C23×C73—21no—
525C23×C73—21no—
526C23×C73—21no—
527C23×C73—21no—
528C23×C73—21no—
529C23×C73—21no—
530C23×C73—21no—
531C23×C73—21no—
532C23×C73—21no—
533C23×C73H(5,𝔽2)12yes—
534C23×C73C2511yescharacteristic
535Q8×C73—82no—
536D4×C73—82no—
537D4×C73—82no—
538D4×C73—82no—
539C2×C4×C73—21no—
540C2×C4×C73—21no—
541C2×C4×C73—21no—
542C2×C4×C73—21no—
543C2×C4×C73—21no—
544C2×C4×C73—21no—
545C2×C4×C73—21no—
546C2×C4×C73—21no—
547C2×C4×C73—21no—
548C2×C4×C73—21no—
549C2×C4×C73—21no—
550C2×C4×C73—21no—
551C2×C4×C73—21no—
552C2×C4×C73—21no—
553C2×C4×C73—21no—
554C2×C4×C73—21no—
555C2×C4×C73—21no—
556C2×C4×C73—21no—
557C2×C4×C73—21no—
558C2×C4×C73—21no—
559C2×C4×C73—21no—
560C2×C4×C73—21no—
561C2×C4×C73—21no—
562C2×C4×C73—21no—
563C2×C4×C73—21no—
564C2×C4×C73—21no—
565C2×C4×C73—21no—
566C2×C4×C73—21no—
567C2×C4×C73—21no—
568C2×C4×C73—21no—
569C2×C4×C73—21no—
570C2×C4×C73—21no—
571C2×C4×C73—21no—
572C2×C4×C73—21no—
573C2×C4×C73—44no—
574C2×C4×C73—44no—
575C2×C4×C73C2×#4112yes—
576C2×C4×C732−1+412yes—
577C2×Dic73—28no—
578C2×Dic73—21no—
579C2×Dic73—21no—
580C2×Dic73—21no—
581C2×Dic73—21no—
582C2×Dic73—21no—
583C2×Dic73—21no—
584C2×Dic73—21no—
585C2×Dic73—21no—
586C2×Dic73—21no—
587C2×Dic73—21no—
588C2×Dic73—21no—
589C2×Dic73—21no—
590C2×Dic73—21no—
591C2×Dic73—21no—
592C2×Dic73—21no—
593C2×Dic73—21no—
594C2×Dic73—21no—
595C2×Dic73—21no—
596C2×Dic73—21no—
597C2×Dic73—21no—
598C2×Dic73—21no—
599C2×Dic73—21no—
600C2×Dic73—21no—
601C2×Dic73—21no—
602C2×Dic73—21no—
603C2×Dic73—21no—
604C2×Dic73—21no—
605C2×Dic73—21no—
606C2×Dic73—21no—
607C2×Dic73—21no—
608C2×Dic73—21no—
609C2×Dic73—21no—
610C2×Dic73—21no—
611C2×Dic73—21no—
612C2×Dic73—21no—
613C2×Dic73—21no—
614C2×Dic73—21no—
615C2×Dic73—21no—
616C2×Dic73—21no—
617C2×Dic73—21no—
618C2×Dic73—21no—
619C2×Dic73—21no—
620C2×Dic73—21no—
621C2×Dic73—21no—
622C2×Dic73—44no—
623C2×Dic73—82no—
624C2×Dic73C2×#4112yes—
625C2×Dic73C2×#4112yes—
626C2×Dic73H(5,𝔽2)12yes—
627C2×Dic732−1+412yes—
628Dic146—82no—
629C22×C73—22no—
630C22×C73—22no—
631C22×C73—22no—
632C22×C73—41no—
633C22×C73—41no—
634C22×C73—41no—
635C22×C73—41no—
636C22×C73—41no—
637C22×C73—41no—
638C22×C73—41no—
639C22×C73—41no—
640C22×C73—41no—
641C22×C73—41no—
642C22×C73—41no—
643C22×C73—41no—
644C22×C73—41no—
645C22×C73—41no—
646C22×C73—41no—
647C22×C73—41no—
648C22×C73—41no—
649C22×C73—41no—
650C22×C73C22×#4111yescharacteristic
651C22×C73C2×H(5,𝔽2)11yescharacteristic
652C22×C73C2×H(5,𝔽2)11yescharacteristic
653C22×C73C2×2−1+411yescharacteristic
654C22×C73C2×2−1+411yescharacteristic
655C22×C73#58511yescharacteristic
656C22×C73#58511yescharacteristic
657C4×C73—22no—
658C4×C73—22no—
659C4×C73—41no—
660C4×C73—41no—
661C4×C73—41no—
662C4×C73—41no—
663C4×C73—41no—
664C4×C73—41no—
665C4×C73—41no—
666C4×C73—41no—
667C4×C73—41no—
668C4×C73—41no—
669Dic73—22no—
670Dic73—22no—
671Dic73—22no—
672Dic73—22no—
673Dic73—41no—
674Dic73—41no—
675Dic73—41no—
676Dic73—41no—
677Dic73—41no—
678Dic73—41no—
679Dic73—41no—
680Dic73—41no—
681Dic73—41no—
682Dic73—41no—
683Dic73—41no—
684Dic73—41no—
685#36827—731nomaximal, Sylow
686C2×C73—42no—
687C2×C73—81no—
688C2×C73—81no—
689C2×C73#345511yescharacteristic
690C2×C73#349211yescharacteristic
691C2×C73#351111yescharacteristic
692C2×C73#353411yescharacteristic
693C2×C73#353511yescharacteristic
694C2×C73#354711yescharacteristic
695C2×C73#355511yescharacteristic
696#2855—731no—
697#2854—731no—
698#2802—731no—
699#2800—731no—
700#2792—731no—
701#2788—731no—
702#2783—731no—
703#2780—731no—
704#2744—731no—
705#2739—731no—
706#2729—731no—
707#2725—731no—
708#2707—731no—
709#2701—731no—
710#2695—731no—
711#2686D7311yescharacteristic
712#2680—731no—
713#2674—731no—
714#2654—731no—
715#2650—731no—
716#2609—731no—
717#2601—731no—
718#2601—731no—
719#2590—731no—
720#2560—731no—
721#2550—731no—
722#2474—731no—
723#2470—731no—
724#2334—731no—
725#2314—731no—
726#2296—731no—
727C73#3682711yescharacteristic, complemented, Sylow
728C2×C4⋊Q8—731no—
729C2×#126—731no—
730C2×#126—731no—
731C2×#125—731no—
732C2×#124C2×D7311yescharacteristic
733C2×#123—731no—
734C2×#123—731no—
735C2×#123—731no—
736C2×C22⋊Q8—731no—
737C2×C22⋊Q8—731no—
738C2×#121C2×D7311yescharacteristic
739C2×#117—731no—
740C2×#117—731no—
741C2×#117—731no—
742C22×C42—731no—
743#400—731no—
744#400—731no—
745#400—731no—
746#400—731no—
747#400—731no—
748#400—731no—
749#400—731no—
750#399—731no—
751#398—731no—
752#398—731no—
753#398—731no—
754#398—731no—
755#398—731no—
756#398—731no—
757#398—731no—
758#398—731no—
759#398—731no—
760#398—731no—
761#398—731no—
762#397—731no—
763#397—731no—
764#397—731no—
765#397—731no—
766#397—731no—
767#397—731no—
768#397C2×D7311yescharacteristic
769#396—731no—
770#396—731no—
771#396—731no—
772#396—731no—
773#396—731no—
774#396—731no—
775#396—731no—
776#396—731no—
777#396—731no—
778#396—731no—
779#395—731no—
780#395—731no—
781#395—731no—
782#395C2×D7311yescharacteristic
783#394—731no—
784#394—731no—
785#394—731no—
786#394C2×D7311yescharacteristic
787#394C2×D7311yescharacteristic
788#394C2×D7311yescharacteristic
789#393—731no—
790#393C2×D7311yescharacteristic
791#391—731no—
792#391—731no—
793#391—731no—
794#390—731no—
795#390—731no—
796#390—731no—
797#389—731no—
798#389—731no—
799#389—731no—
800#389—731no—
801#389—731no—
802#389—731no—
803#389—731no—
804#389—731no—
805#389—731no—
806#389—731no—
807#389—731no—
808#389—731no—
809#389—731no—
810#389—731no—
811#389—731no—
812#389—731no—
813#388—731no—
814#388—731no—
815#388—731no—
816#388—731no—
817#388—731no—
818#388—731no—
819#388—731no—
820#388—731no—
821#388—731no—
822#388—731no—
823#388—731no—
824#388—731no—
825#388—731no—
826#388—731no—
827#388—731no—
828#388—731no—
829#388—731no—
830#388—731no—
831#388—731no—
832#388C2×D7311yescharacteristic
833#387—731no—
834#387—731no—
835#387—731no—
836#387—731no—
837#387—731no—
838#387—731no—
839#387—731no—
840#387—731no—
841#387—731no—
842#387—731no—
843#387—731no—
844#387—731no—
845#387—731no—
846#387—731no—
847#387—731no—
848#387—731no—
849#387—731no—
850#387C2×D7311yescharacteristic
851#386—731no—
852#386—731no—
853#386—731no—
854#386C2×D7311yescharacteristic
855#386C2×D7311yescharacteristic
856#385—731no—
857#385—731no—
858#385—731no—
859#385—731no—
860#385—731no—
861#385—731no—
862#385—731no—
863#385—731no—
864#385—731no—
865#385—731no—
866#385C2×D7311yescharacteristic
867#384—731no—
868#382—731no—
869#382—731no—
870#381—731no—
871#381C2×D7311yescharacteristic
872#380—731no—
873#380—731no—
874#380—731no—
875#380C2×D7311yescharacteristic
876C4×C4⋊C4—731no—
877C4×C4⋊C4—731no—
878C4×C4⋊C4—731no—
879C4×C4⋊C4—731no—
880C4×C4⋊C4—731no—
881C4×C4⋊C4—731no—
882C4×C22⋊C4—731no—
883C22×Q8—731no—
884C22×Q8C22×D7311yescharacteristic
885C22×D4C22×D7311yescharacteristic
886C22×D4C22×D7311yescharacteristic
887C22×D4C22×D7311yescharacteristic
888C23×C4—731no—
889C23×C4—731no—
890C23×C4—731no—
891C23×C4C22×D7311yescharacteristic
892C23×C4C22×D7311yescharacteristic
893C4⋊Q8—2922no—
894#126—2922no—
895#126—1464no—
896#125—2922no—
897#124—42no—
898#123—2922no—
899#123—2922no—
900#123—2922no—
901C22⋊Q8—2922no—
902C22⋊Q8—2922no—
903#121—42no—
904#117—2922no—
905#117—1464no—
906#117—1464no—
907C2×C4⋊C4—731no—
908C2×C4⋊C4—731no—
909C2×C4⋊C4—731no—
910C2×C4⋊C4—731no—
911C2×C4⋊C4—731no—
912C2×C4⋊C4—731no—
913C2×C4⋊C4—731no—
914C2×C4⋊C4—731no—
915C2×C4⋊C4—731no—
916C2×C4⋊C4—731no—
917C2×C4⋊C4—731no—
918C2×C4⋊C4—731no—
919C2×C4⋊C4—731no—
920C2×C4⋊C4—731no—
921C2×C4⋊C4—731no—
922C2×C4⋊C4—731no—
923C2×C4⋊C4—731no—
924C2×C4⋊C4—731no—
925C2×C4⋊C4—731no—
926C2×C4⋊C4—731no—
927C2×C4⋊C4—731no—
928C2×C4⋊C4—731no—
929C2×C4⋊C4—731no—
930C2×C4⋊C4—731no—
931C2×C4⋊C4—731no—
932C2×C4⋊C4—731no—
933C2×C4⋊C4—731no—
934C2×C4⋊C4—731no—
935C2×C4⋊C4—731no—
936C2×C4⋊C4—731no—
937C2×C4⋊C4—731no—
938C2×C4⋊C4—731no—
939C2×C4⋊C4—731no—
940C2×C4⋊C4—731no—
941C2×C4⋊C4—731no—
942C2×C4⋊C4—731no—
943C2×C4⋊C4—731no—
944C2×C4⋊C4—731no—
945C2×C4⋊C4—731no—
946C2×C4⋊C4—731no—
947C2×C4⋊C4—731no—
948C2×C4⋊C4—731no—
949C2×C4⋊C4C22×D7311yescharacteristic
950C2×C4⋊C4C22×D7311yescharacteristic
951C2×C4⋊C4C22×D7311yescharacteristic
952C2×C4⋊C4C22×D7311yescharacteristic
953C2×C4⋊C4C22×D7311yescharacteristic
954C2×C22⋊C4—731no—
955C2×C22⋊C4—731no—
956C2×C22⋊C4—731no—
957C2×C22⋊C4—731no—
958C2×C22⋊C4—731no—
959C2×C22⋊C4—731no—
960C2×C22⋊C4—731no—
961C2×C22⋊C4—731no—
962C2×C22⋊C4—731no—
963C2×C22⋊C4—731no—
964C2×C22⋊C4—731no—
965C2×C22⋊C4—731no—
966C2×C22⋊C4—731no—
967C2×C22⋊C4—731no—
968C2×C22⋊C4—731no—
969C2×C22⋊C4—731no—
970C2×C22⋊C4—731no—
971C2×C22⋊C4—731no—
972C2×C22⋊C4—731no—
973C2×C22⋊C4—731no—
974C2×C22⋊C4—731no—
975C2×C22⋊C4C22×D7311yescharacteristic
976C2×C22⋊C4C22×D7311yescharacteristic
977C2×C22⋊C4C22×D7311yescharacteristic
978C2×C22⋊C4C22×D7311yescharacteristic
979C2×C22⋊C4C22×D7311yescharacteristic
980C2×C22⋊C4C22×D7311yescharacteristic
981C2×C22⋊C4C22×D7311yescharacteristic
982C2×C22⋊C4C22×D7311yescharacteristic
983C2×C22⋊C4C22×D7311yescharacteristic
984C2×C22⋊C4C22×D7311yescharacteristic
985C2×C22⋊C4C22×D7311yescharacteristic
986C2×C22⋊C4C22×D7311yescharacteristic
987C2×C22⋊C4C22×D7311yescharacteristic
988C2×C42—2922no—
989C2×C42—731no—
990C2×C42—731no—
991C2×C42—731no—
992C2×C42—731no—
993C2×C42—731no—
994C2×C42—731no—
995C2×C42—731no—
996C2×C42—731no—
997C2×C42—731no—
998C2×C42—731no—
999C2×C42—731no—
1000C2×C42—731no—
1001C2×C42—731no—
1002C2×C42C22×D7311yescharacteristic
1003#95—731no—
1004#95—731no—
1005#95—731no—
1006#95—731no—
1007#95—731no—
1008#95—731no—
1009#95—731no—
1010#95—731no—
1011#95—731no—
1012#95—731no—
1013#95—731no—
1014#95—731no—
1015#95—731no—
1016#95—731no—
1017#95—731no—
1018#95—731no—
1019#95—731no—
1020#95—731no—
1021#95—731no—
1022#95—731no—
1023#95—731no—
1024#95—731no—
1025#95—731no—
1026#95—731no—
1027#95—731no—
1028#95—731no—
1029#95—731no—
1030#95—731no—
1031#95—731no—
1032#95—731no—
1033#95—731no—
1034#95—731no—
1035#95—731no—
1036#95—731no—
1037#95—731no—
1038#95—731no—
1039#95—731no—
1040#95—731no—
1041#95—731no—
1042#95—731no—
1043#95C22×D7311yescharacteristic
1044#95C22×D7311yescharacteristic
1045#95C22×D7311yescharacteristic
1046#95C22×D7311yescharacteristic
1047#95C22×D7311yescharacteristic
1048#95C22×D7311yescharacteristic
1049#95C22×D7311yescharacteristic
1050#95C22×D7311yescharacteristic
1051#95C22×D7311yescharacteristic
1052#95C22×D7311yescharacteristic
1053C24C23×D7311yescharacteristic
1054C24C23×D7311yescharacteristic
1055C24C23×D7311yescharacteristic
1056C2×Q8—41no—
1057C2×Q8—41no—
1058C2×Q8—41no—
1059C2×Q8—2921no—
1060C2×Q8—2921no—
1061C2×Q8—1462no—
1062C2×D4—22no—
1063C2×D4—22no—
1064C2×D4—22no—
1065C2×D4—41no—
1066C2×D4—41no—
1067C2×D4—41no—
1068C2×D4—41no—
1069C2×D4—41no—
1070C2×D4—41no—
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—41no—
1075C22×C4—41no—
1076C22×C4—41no—
1077C22×C4—2921no—
1078C22×C4—2921no—
1079C22×C4—2921no—
1080C22×C4—2921no—
1081C22×C4—731no—
1082C22×C4—731no—
1083C22×C4—731no—
1084C22×C4—731no—
1085C22×C4—731no—
1086C22×C4—731no—
1087C22×C4—731no—
1088C22×C4—731no—
1089C22×C4—731no—
1090C22×C4—731no—
1091C22×C4—731no—
1092C22×C4—731no—
1093C22×C4—731no—
1094C22×C4—731no—
1095C22×C4—731no—
1096C22×C4—731no—
1097C22×C4—1462no—
1098C22×C4—1462no—
1099C22×C4—1462no—
1100C22×C4—1462no—
1101C22×C4—1462no—
1102C22×C4C23×D7311yescharacteristic
1103C22×C4C23×D7311yescharacteristic
1104C22×C4C23×D7311yescharacteristic
1105C22×C4C23×D7311yescharacteristic
1106C22×C4C23×D7311yescharacteristic
1107C22×C4C23×D7311yescharacteristic
1108C22×C4C23×D7311yescharacteristic
1109C22×C4C23×D7311yescharacteristic
1110C22×C4C23×D7311yescharacteristic
1111C22×C4C23×D7311yescharacteristic
1112C22×C4C23×D7311yescharacteristic
1113C22×C4C23×D7311yescharacteristic
1114C4⋊C4—22no—
1115C4⋊C4—41no—
1116C4⋊C4—41no—
1117C4⋊C4—41no—
1118C4⋊C4—41no—
1119C4⋊C4—2921no—
1120C4⋊C4—2921no—
1121C4⋊C4—2921no—
1122C4⋊C4—2921no—
1123C4⋊C4—2921no—
1124C4⋊C4—2921no—
1125C4⋊C4—2921no—
1126C4⋊C4—2921no—
1127C4⋊C4—2921no—
1128C4⋊C4—2921no—
1129C4⋊C4—2921no—
1130C4⋊C4—2921no—
1131C4⋊C4—2921no—
1132C4⋊C4—2921no—
1133C4⋊C4—2921no—
1134C4⋊C4—2921no—
1135C4⋊C4—2921no—
1136C4⋊C4—2921no—
1137C4⋊C4—2921no—
1138C4⋊C4—2921no—
1139C4⋊C4—2921no—
1140C4⋊C4—2921no—
1141C4⋊C4—2921no—
1142C4⋊C4—2921no—
1143C4⋊C4—2921no—
1144C4⋊C4—2921no—
1145C4⋊C4—1462no—
1146C4⋊C4—1462no—
1147C4⋊C4—1462no—
1148C4⋊C4—1462no—
1149C4⋊C4—1462no—
1150C4⋊C4—1462no—
1151C4⋊C4—1462no—
1152C4⋊C4—1462no—
1153C4⋊C4—1462no—
1154C4⋊C4—1462no—
1155C4⋊C4—1462no—
1156C4⋊C4—1462no—
1157C4⋊C4—1462no—
1158C4⋊C4—1462no—
1159C4⋊C4—1462no—
1160C4⋊C4—1462no—
1161C22⋊C4—22no—
1162C22⋊C4—22no—
1163C22⋊C4—22no—
1164C22⋊C4—22no—
1165C22⋊C4—41no—
1166C22⋊C4—41no—
1167C22⋊C4—41no—
1168C22⋊C4—41no—
1169C22⋊C4—41no—
1170C22⋊C4—41no—
1171C22⋊C4—41no—
1172C22⋊C4—41no—
1173C22⋊C4—41no—
1174C22⋊C4—2921no—
1175C22⋊C4—2921no—
1176C22⋊C4—2921no—
1177C22⋊C4—2921no—
1178C22⋊C4—2921no—
1179C22⋊C4—2921no—
1180C22⋊C4—2921no—
1181C22⋊C4—2921no—
1182C22⋊C4—2921no—
1183C22⋊C4—2921no—
1184C22⋊C4—1462no—
1185C22⋊C4—1462no—
1186C22⋊C4—1462no—
1187C22⋊C4—1462no—
1188C22⋊C4—1462no—
1189C22⋊C4—1462no—
1190C22⋊C4—1462no—
1191C22⋊C4—1462no—
1192C22⋊C4—1462no—
1193C22⋊C4—1462no—
1194C22⋊C4—1462no—
1195C42—41no—
1196C42—2921no—
1197C42—2921no—
1198C42—2921no—
1199C42—2921no—
1200C42—2921no—
1201C42—2921no—
1202C42—2921no—
1203C42—2921no—
1204C42—2921no—
1205C42—2921no—
1206C42—734no—
1207C42—1462no—
1208C42—1462no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23#1455663612yes—
1230C23C24×D7311yescharacteristic
1231Q8—82no—
1232Q8—5842no—
1233D4—82no—
1234D4—82no—
1235D4—82no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—44no—
1271C2×C4—44no—
1272C2×C4—2924no—
1273C2×C4—5842no—
1274C2×C4—732no—
1275C2×C4—732no—
1276C2×C4—732no—
1277C2×C4—732no—
1278C2×C4—1461no—
1279C2×C4—1461no—
1280C2×C4—1461no—
1281C2×C4—1461no—
1282C2×C4—1461no—
1283C2×C4—1461no—
1284C2×C4—1461no—
1285C2×C4—1461no—
1286C2×C4—1461no—
1287C2×C4—1461no—
1288C2×C4—1461no—
1289C2×C4—1461no—
1290C2×C4—1461no—
1291C2×C4—1461no—
1292C2×C4—1461no—
1293C2×C4—1461no—
1294C2×C4—1461no—
1295C2×C4—1461no—
1296C2×C4—1461no—
1297C2×C4—1461no—
1298C2×C4—1461no—
1299C2×C4—1461no—
1300C2×C4—1461no—
1301C2×C4—1461no—
1302C2×C4—1461no—
1303C2×C4—1461no—
1304C2×C4—1461no—
1305C2×C4—1461no—
1306C2×C4—1461no—
1307C2×C4—1461no—
1308C2×C4—1461no—
1309C2×C4—1461no—
1310C2×C4—1461no—
1311C2×C4—1461no—
1312C2×C4—1461no—
1313C2×C4—1461no—
1314C2×C4—1468no—
1315C2×C4—1461no—
1316C2×C4—1461no—
1317C2×C4—1461no—
1318C2×C4—1461no—
1319C2×C4—1461no—
1320C2×C4—1461no—
1321C2×C4—1461no—
1322C2×C4—1461no—
1323C2×C4#41×D7312yes—
1324C2×C4#1455663812yes—
1325C22—22no—
1326C22—22no—
1327C22—22no—
1328C22—41no—
1329C22—41no—
1330C22—41no—
1331C22—41no—
1332C22—41no—
1333C22—41no—
1334C22—41no—
1335C22—41no—
1336C22—41no—
1337C22—41no—
1338C22—41no—
1339C22—41no—
1340C22—41no—
1341C22—41no—
1342C22—41no—
1343C22—41no—
1344C22—41no—
1345C22—41no—
1346C22C2×#41×D7311yescharacteristic
1347C22H(5,𝔽2)×D7311yescharacteristic
1348C22C2×#1455663611yescharacteristic
1349C222−1+4×D7311yescharacteristic
1350C22C2×#1455663811yescharacteristic
1351C22#1798942211yescharacteristic
1352C22#1798942211yescharacteristic
1353C4—22no—
1354C4—22no—
1355C4—41no—
1356C4—41no—
1357C4—41no—
1358C4—41no—
1359C4—41no—
1360C4—41no—
1361C4—41no—
1362C4—41no—
1363C4—41no—
1364C4—41no—
1365C4—2921no—
1366C4—2921no—
1367C4—2921no—
1368C4—2921no—
1369C4—2921no—
1370C4—2921no—
1371C4—2921no—
1372C4—2921no—
1373C4—2921no—
1374C4—2921no—
1375C4—2921no—
1376C4—2921no—
1377C4—1462no—
1378C4—1462no—
1379C4—1462no—
1380C4—1462no—
1381C2—42no—
1382C2—81no—
1383C2—81no—
1384C2#2262331311yescharacteristic
1385C2#2262363311yescharacteristic
1386C2#2262383111yescharacteristic
1387C2#2262411111yescharacteristic
1388C2#2262412811yescharacteristic
1389C2#2262431111yescharacteristic
1390C2#2262441711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2686C2
prime radicalC2×#121×C73C22
hypercenter#2686D73
hypocenterC73#36827
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2686

Complements

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

NH ≅ G/Ntype
1. #22618268C2semidirect
3. #22617847C2semidirect
4. #22617826C2semidirect
5. #22617732C2semidirect
6. #22617673C2semidirect
7. #22617616C2semidirect
8. #22617583C2semidirect
9. #22617089C2semidirect
10. #22617016C2semidirect
11. #22616918C2semidirect
12. #22616878C2semidirect
13. #22616641C2semidirect
15. #22616461C2semidirect
16. #22616274C2semidirect
17. #22616206C2semidirect
18. #22616016C2semidirect
19. #22615946C2semidirect
20. #22615605C2semidirect
21. #22615524C2semidirect
22. #22615521C2semidirect
23. #22615395C2semidirect
24. #22615068C2semidirect
25. #22614945C2semidirect
26. #22614083C2semidirect
27. #22614020C2semidirect
28. #22612703C2semidirect
29. #22612538C2semidirect
30. #22612410C2semidirect
727. C73#36827semidirect

Maximal subgroups

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

subgroupindex
#226182682
#226182572
#226178472
#226178262
#226177322
#226176732
#226176162
#226175832
#226170892
#226170162
#226169182
#226168782
#226166412
#226165402
#226164612
#226162742
#226162062
#226160162
#226159462
#226156052
#226155242
#226155212
#226153952
#226150682
#226149452
#226140832
#226140202
#226127032
#226125382
#226124102
C73×#26862
#3682773