Finite Group Databasebeta

← #10764128

Subgroups — #10764128

Order 768.

870 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
1#85830C211yesmaximal, characteristic
2C3×#2990C211yesmaximal, characteristic
3#82522C211yesmaximal, characteristic
4#70825C211yesmaximal, characteristic, complemented
5#70824C211yesmaximal, characteristic, complemented
6#70821C211yesmaximal, characteristic, complemented
7#70820C211yesmaximal, characteristic, complemented
8#70781C211yesmaximal, characteristic, complemented
9#70776C211yesmaximal, characteristic, complemented
10#70510C211yesmaximal, characteristic, complemented
11#70509C211yesmaximal, characteristic, complemented
12#70439C211yesmaximal, characteristic, complemented
13#70438C211yesmaximal, characteristic, complemented
14#70437C211yesmaximal, characteristic, complemented
15C2×#4481C211yesmaximal, characteristic, complemented
16#17780—31nomaximal, Sylow
17C3×C4×#41C2211yescharacteristic
18#5825C412yes—
19#5567—21no—
20#5567—21no—
21#5542—21no—
22#5542—21no—
23#5541—21no—
24#5541—21no—
25#5541—21no—
26#5541—21no—
27#5518C412yes—
28#5518C412yes—
29#5516C412yes—
30#5470C2211yescharacteristic
31#5470C2211yescharacteristic
32#5470C2211yescharacteristic
33#5470C2211yescharacteristic
34#5470C2211yescharacteristic
35C2×#869C2211yescharacteristic
36C3×#446—21no—
37C3×#435—21no—
38C3×#435—21no—
39C3×C8×D4—21no—
40C3×#432C2211yescharacteristic
41C3×#432C2211yescharacteristic
42C3×#431C2211yescharacteristic
43C3×#423C2211yescharacteristic
44C2×C3×C4⋊C8C2211yescharacteristic
45C2×C3×C4⋊C8C2211yescharacteristic
46#5024—21no—
47#5011—21no—
48#5011—21no—
49D4×C3⋊C8—21no—
50#4926C2211yescharacteristic
51#4926C2211yescharacteristic
52#4925C2211yescharacteristic
53#4924C2211yescharacteristic
54C2×C4⋊(C3⋊C8)C2211yescharacteristic
55C2×C4⋊(C3⋊C8)C2211yescharacteristic
56#4486C2211yescharacteristic
57#4486C2211yescharacteristic
58#4486C2211yescharacteristic
59#4486C2211yescharacteristic
60#4482C2211yescharacteristic
61#4482C2211yescharacteristic
62#4482C2211yescharacteristic
63#4482C2211yescharacteristic
64#4481C2211yescharacteristic
65#4481C2211yescharacteristic
66#4481C2211yescharacteristic
67#4481C2211yescharacteristic
68#4481C2211yescharacteristic
69#4481C2211yescharacteristic
70#4481C2211yescharacteristic
71#4481C2211yescharacteristic
72#3509—31no—
73#2990—31no—
74#2990D311yescharacteristic
75#1559—31no—
76#1559—31no—
77#1558—31no—
78#1554—31no—
79#1554—31no—
80#1552—31no—
81#1552—31no—
82#1550—31no—
83#1550—31no—
84#1542—31no—
85#1542—31no—
86C2×#333—31no—
87C2×C3×#41C2×C411yescharacteristic
88C22×Dic6C2×C412yes—
89C2×C3×M16—21no—
90C22×C3×C8—21no—
91C22×C3×C8—21no—
92C3×C4×Q8D411yescharacteristic
93C3×C4×Q8D411yescharacteristic
94C3×C4×D4D411yescharacteristic
95C3×C4×D4D411yescharacteristic
96C3×C4×D4D411yescharacteristic
97C3×C4×D4D411yescharacteristic
98C3×C4×D4D411yescharacteristic
99C3×C4×D4D411yescharacteristic
100C3×#117C2×C411yescharacteristic
101C3×#117C2×C411yescharacteristic
102C3×#117C2×C411yescharacteristic
103C2×C3×C42C2311yescharacteristic
104C2×C3×C42C2311yescharacteristic
105C2×C3×C42C2311yescharacteristic
106#944—22no—
107#936—22no—
108#935—22no—
109#935—22no—
110#926—21no—
111#926—21no—
112#926—21no—
113#926—21no—
114#926C2×C412yes—
115C2×C4⋊Dic3—21no—
116C2×C4⋊Dic3—21no—
117#924—21no—
118#924—21no—
119#924—21no—
120#924—21no—
121#924—21no—
122#924—21no—
123#924C2×C412yes—
124#924C2×C412yes—
125#924C2×C412yes—
126#924C2×C412yes—
127C2×#208—21no—
128C22×C3⋊C8—21no—
129C22×C3⋊C8—21no—
130#889—22no—
131#889—22no—
132#889—22no—
133#889—22no—
134#887—22no—
135#887—22no—
136#879—22no—
137#879—22no—
138#879—22no—
139#879—22no—
140#877—22no—
141#877—22no—
142#870—21no—
143#870—21no—
144#870—21no—
145#870—21no—
146#870C2×C412yes—
147#869—21no—
148#869—21no—
149#869C2×C412yes—
150#869C2311yescharacteristic
151#869C2311yescharacteristic
152#869C2311yescharacteristic
153#869C2311yescharacteristic
154C4×Dic6—21no—
155C4×Dic6—21no—
156C4×Dic6—21no—
157C4×Dic6—21no—
158C4×Dic6—21no—
159C4×Dic6—21no—
160C4×Dic6C2×C412yes—
161C4×Dic6C2×C412yes—
162C4×Dic6C2×C412yes—
163C4×Dic6C2×C412yes—
164C3×C4⋊C8—21no—
165C3×C4⋊C8—21no—
166C3×C4⋊C8—21no—
167C3×C4⋊C8C2311yescharacteristic
168C3×C4⋊C8C2311yescharacteristic
169C3×C4⋊C8C2311yescharacteristic
170C3×C4⋊C8C2311yescharacteristic
171C3×C22⋊C8—21no—
172C3×C22⋊C8—21no—
173C3×C22⋊C8—21no—
174C3×#97—21no—
175C3×#97—21no—
176C3×C4×C8—21no—
177#830—21no—
178#830—21no—
179#830—21no—
180C4⋊(C3⋊C8)—21no—
181C4⋊(C3⋊C8)—21no—
182C4⋊(C3⋊C8)—21no—
183C4⋊(C3⋊C8)C2311yescharacteristic
184C4⋊(C3⋊C8)C2311yescharacteristic
185C4⋊(C3⋊C8)C2311yescharacteristic
186C4⋊(C3⋊C8)C2311yescharacteristic
187#803—21no—
188#803—21no—
189C4×C3⋊C8—21no—
190#557—61no—
191#557—61no—
192#556—61no—
193#556—61no—
194#552—61no—
195#552—61no—
196#552—61no—
197#552—61no—
198#541—32no—
199#541—32no—
200#536—32no—
201#533—31no—
202#533—31no—
203#533—31no—
204#533—31no—
205#533—31no—
206C2×C4⋊Q8—31no—
207#519—32no—
208C4×#41C2×D311yescharacteristic
209#446—21no—
210#446—61no—
211#435—21no—
212#435—21no—
213#435—61no—
214#435—61no—
215C8×D4—21no—
216C8×D4—61no—
217#432—31no—
218#432—31no—
219#432C2×D311yescharacteristic
220#432C2×D311yescharacteristic
221#431—31no—
222#431C2×D311yescharacteristic
223#423—31no—
224#423C2×D311yescharacteristic
225C2×C4⋊C8—31no—
226C2×C4⋊C8—31no—
227C2×C4⋊C8C2×D311yescharacteristic
228C2×C4⋊C8C2×D311yescharacteristic
229#333—31no—
230#333—31no—
231#333—31no—
232#333—31no—
233#333—31no—
234#333—31no—
235#333—31no—
236#333—31no—
237#332—31no—
238#332—31no—
239#332—31no—
240#332—31no—
241#332—31no—
242#332—31no—
243#332—31no—
244#332—31no—
245C3×#41—42no—
246C2×C3×Q8C22⋊C411yescharacteristic
247C2×C3×D4C22⋊C411yescharacteristic
248C2×C3×D4C22⋊C411yescharacteristic
249C2×C3×D4C22⋊C411yescharacteristic
250C22×C3×C4C22×C411yescharacteristic
251C22×C3×C4C22×C411yescharacteristic
252C22×C3×C4C22×C411yescharacteristic
253C22×C3×C4C2×D411yescharacteristic
254C22×C3×C4C2×D411yescharacteristic
255C22×C3×C4C2×D411yescharacteristic
256C22×C3×C4C2×D411yescharacteristic
257C22×C3×C4C2×D411yescharacteristic
258C22×C3×C4C2×D411yescharacteristic
259C22×Dic3—22no—
260C2×Dic6—22no—
261C2×Dic6—21no—
262C2×Dic6—21no—
263C2×Dic6—44no—
264C2×Dic6C22×C412yes—
265C2×Dic6C22×C412yes—
266C3×M16—81no—
267C2×C3×C8—21no—
268C2×C3×C8—21no—
269C2×C3×C8—21no—
270C2×C3×C8—21no—
271C2×C3×C8—81no—
272C2×C3×C8—81no—
273C3×C4⋊C4C22⋊C411yescharacteristic
274C3×C4⋊C4C22⋊C411yescharacteristic
275C3×C4⋊C4C22⋊C411yescharacteristic
276C3×C4⋊C4C22⋊C411yescharacteristic
277C3×C4⋊C4C22⋊C411yescharacteristic
278C3×C4⋊C4C22⋊C411yescharacteristic
279C3×C22⋊C4C22⋊C411yescharacteristic
280C3×C22⋊C4C22⋊C411yescharacteristic
281C3×C22⋊C4C22⋊C411yescharacteristic
282C3×C22⋊C4C22⋊C411yescharacteristic
283C3×C22⋊C4C22⋊C411yescharacteristic
284C3×C22⋊C4C22⋊C411yescharacteristic
285C3×C42C22×C411yescharacteristic
286C3×C42C22×C411yescharacteristic
287C3×C42C22×C411yescharacteristic
288C3×C42C2×D411yescharacteristic
289C3×C42C2×D411yescharacteristic
290C3×C42C2×D411yescharacteristic
291C3×C42C2×D411yescharacteristic
292C3×C42C2×D411yescharacteristic
293C3×C42C2×D411yescharacteristic
294C3×C42C2411yescharacteristic
295#217—22no—
296#217—22no—
297#217—22no—
298#217—22no—
299#217—22no—
300C4⋊Dic3—22no—
301C4⋊Dic3—22no—
302C4⋊Dic3—21no—
303C4⋊Dic3—21no—
304C4⋊Dic3—21no—
305C4⋊Dic3—21no—
306C4⋊Dic3—21no—
307C4⋊Dic3—21no—
308C4⋊Dic3C22×C412yes—
309C4⋊Dic3C22×C412yes—
310Dic3⋊C4—22no—
311Dic3⋊C4—22no—
312Dic3⋊C4—22no—
313Dic3⋊C4—22no—
314Dic3⋊C4—22no—
315Dic3⋊C4—22no—
316Dic3⋊C4—22no—
317Dic3⋊C4—22no—
318Dic3⋊C4—22no—
319Dic3⋊C4—22no—
320C4×Dic3—22no—
321C4×Dic3—22no—
322C4×Dic3—22no—
323C4×Dic3—22no—
324C4×Dic3—22no—
325#208—81no—
326C2×C3⋊C8—21no—
327C2×C3⋊C8—21no—
328C2×C3⋊C8—21no—
329C2×C3⋊C8—21no—
330C2×C3⋊C8—81no—
331C2×C3⋊C8—81no—
332C2×#41C4×D311yescharacteristic
333C22×Q8—32no—
334C2×M16—21no—
335C2×M16—61no—
336C22×C8—21no—
337C22×C8—21no—
338C22×C8—61no—
339C22×C8—61no—
340C4⋊Q8—32no—
341C4⋊Q8—31no—
342C4⋊Q8—31no—
343C4⋊Q8—31no—
344C4⋊Q8—31no—
345C4⋊Q8—62no—
346C4⋊Q8—61no—
347C4⋊Q8—61no—
348#126—62no—
349#126—62no—
350#126—62no—
351#126—62no—
352#125—32no—
353#125—62no—
354#125—62no—
355#125—62no—
356#125—62no—
357#125—61no—
358#125—61no—
359#125—61no—
360#125—61no—
361#124—62no—
362#123—62no—
363#123—62no—
364C22⋊Q8—32no—
365C22⋊Q8—32no—
366C22⋊Q8—32no—
367C22⋊Q8—32no—
368C22⋊Q8—61no—
369C22⋊Q8—61no—
370C22⋊Q8—61no—
371C22⋊Q8—61no—
372C22⋊Q8—61no—
373C22⋊Q8—61no—
374C4×Q8—32no—
375C4×Q8—32no—
376C4×Q8—32no—
377C4×Q8—32no—
378C4×Q8—62no—
379C4×Q8—62no—
380C4×Q8—61no—
381C4×Q8—61no—
382C4×Q8—61no—
383C4×Q8—61no—
384C4×Q8—61no—
385C4×Q8—61no—
386C4×Q8D1211yescharacteristic
387C4×Q8#6711yescharacteristic
388C4×D4D1211yescharacteristic
389C4×D4D1211yescharacteristic
390C4×D4D1211yescharacteristic
391C4×D4#6711yescharacteristic
392C4×D4#6711yescharacteristic
393C4×D4#6711yescharacteristic
394#117—32no—
395#117—61no—
396#117—61no—
397#117—61no—
398#117—61no—
399#117—62no—
400#117—62no—
401#117C4×D311yescharacteristic
402#117C4×D311yescharacteristic
403#117C4×D311yescharacteristic
404C2×C4⋊C4—61no—
405C2×C4⋊C4—61no—
406C2×C42C22×D311yescharacteristic
407C2×C42C22×D311yescharacteristic
408C2×C42C22×D311yescharacteristic
409C4⋊C8—21no—
410C4⋊C8—21no—
411C4⋊C8—21no—
412C4⋊C8—31no—
413C4⋊C8—31no—
414C4⋊C8—31no—
415C4⋊C8—31no—
416C4⋊C8—61no—
417C4⋊C8—61no—
418C4⋊C8—61no—
419C4⋊C8C22×D311yescharacteristic
420C4⋊C8C22×D311yescharacteristic
421C4⋊C8C22×D311yescharacteristic
422C4⋊C8C22×D311yescharacteristic
423C22⋊C8—21no—
424C22⋊C8—21no—
425C22⋊C8—21no—
426C22⋊C8—61no—
427C22⋊C8—61no—
428C22⋊C8—61no—
429#97—21no—
430#97—21no—
431#97—61no—
432#97—61no—
433C4×C8—21no—
434C4×C8—61no—
435C23×C3C2×C22⋊C411yescharacteristic
436C23×C3C2×C22⋊C411yescharacteristic
437C23×C3C2×C22⋊C411yescharacteristic
438C3×Q8—41no—
439C3×D4—22no—
440C3×D4—22no—
441C3×D4—41no—
442C2×C3×C4—22no—
443C2×C3×C4—21no—
444C2×C3×C4—21no—
445C2×C3×C4—21no—
446C2×C3×C4—21no—
447C2×C3×C4—21no—
448C2×C3×C4—21no—
449C2×C3×C4—21no—
450C2×C3×C4—21no—
451C2×C3×C4—21no—
452C2×C3×C4—21no—
453C2×C3×C4—21no—
454C2×C3×C4—21no—
455C2×C3×C4—41no—
456C2×C3×C4—41no—
457C2×C3×C4C2×C22⋊C411yescharacteristic
458C2×C3×C4C2×C22⋊C411yescharacteristic
459C2×C3×C4C2×C22⋊C411yescharacteristic
460C2×C3×C4C2×C22⋊C411yescharacteristic
461C2×C3×C4C2×C22⋊C411yescharacteristic
462C2×C3×C4C2×C22⋊C411yescharacteristic
463C2×C3×C4C2×C22⋊C411yescharacteristic
464C2×C3×C4C2×C22⋊C411yescharacteristic
465C2×C3×C4C2×C22⋊C411yescharacteristic
466C2×C3×C4C23×C411yescharacteristic
467C2×C3×C4C22×D411yescharacteristic
468C2×C3×C4C22×D411yescharacteristic
469C2×Dic3—22no—
470C2×Dic3—22no—
471C2×Dic3—22no—
472C2×Dic3—22no—
473C2×Dic3—44no—
474Dic6—44no—
475Dic6—41no—
476Dic6—41no—
477Dic6—41no—
478Dic6—41no—
479Dic6—42no—
480Dic6—42no—
481C3×C8—41no—
482C3×C8—41no—
483C3×C8—41no—
484C3×C8—41no—
485C3⋊C8—41no—
486C3⋊C8—41no—
487C3⋊C8—41no—
488C3⋊C8—41no—
489#41—42no—
490C2×Q8—32no—
491C2×Q8—32no—
492C2×Q8—62no—
493C2×Q8—61no—
494C2×Q8—61no—
495C2×Q8—124no—
496C2×Q8(C2×D3)⋊C411yescharacteristic
497C2×D4(C2×D3)⋊C411yescharacteristic
498C2×D4(C2×D3)⋊C411yescharacteristic
499C2×D4(C2×D3)⋊C411yescharacteristic
500C22×C4—62no—
501C22×C4C2×C4×D311yescharacteristic
502C22×C4C2×C4×D311yescharacteristic
503C22×C4C2×C4×D311yescharacteristic
504C22×C4C2×D1211yescharacteristic
505C22×C4C2×D1211yescharacteristic
506C22×C4C2×D1211yescharacteristic
507C22×C4C2×#6711yescharacteristic
508C22×C4C2×#6711yescharacteristic
509C22×C4C2×#6711yescharacteristic
510M16—81no—
511M16—241no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—61no—
517C2×C8—61no—
518C2×C8—61no—
519C2×C8—61no—
520C2×C8—81no—
521C2×C8—81no—
522C2×C8—241no—
523C2×C8—241no—
524C4⋊C4—32no—
525C4⋊C4—32no—
526C4⋊C4—62no—
527C4⋊C4—62no—
528C4⋊C4—62no—
529C4⋊C4—62no—
530C4⋊C4—62no—
531C4⋊C4—62no—
532C4⋊C4—62no—
533C4⋊C4—62no—
534C4⋊C4—62no—
535C4⋊C4—62no—
536C4⋊C4—62no—
537C4⋊C4—62no—
538C4⋊C4—61no—
539C4⋊C4—61no—
540C4⋊C4—61no—
541C4⋊C4—61no—
542C4⋊C4—61no—
543C4⋊C4—61no—
544C4⋊C4(C2×D3)⋊C411yescharacteristic
545C4⋊C4(C2×D3)⋊C411yescharacteristic
546C4⋊C4(C2×D3)⋊C411yescharacteristic
547C4⋊C4(C2×D3)⋊C411yescharacteristic
548C4⋊C4(C2×D3)⋊C411yescharacteristic
549C4⋊C4(C2×D3)⋊C411yescharacteristic
550C22⋊C4—62no—
551C22⋊C4—62no—
552C22⋊C4—62no—
553C22⋊C4—62no—
554C22⋊C4—62no—
555C22⋊C4(C2×D3)⋊C411yescharacteristic
556C22⋊C4(C2×D3)⋊C411yescharacteristic
557C22⋊C4(C2×D3)⋊C411yescharacteristic
558C22⋊C4(C2×D3)⋊C411yescharacteristic
559C22⋊C4(C2×D3)⋊C411yescharacteristic
560C22⋊C4(C2×D3)⋊C411yescharacteristic
561C42—62no—
562C42—62no—
563C42—62no—
564C42—62no—
565C42—62no—
566C42C2×C4×D311yescharacteristic
567C42C2×C4×D311yescharacteristic
568C42C2×C4×D311yescharacteristic
569C42C2×D1211yescharacteristic
570C42C2×D1211yescharacteristic
571C42C2×D1211yescharacteristic
572C42C2×#6711yescharacteristic
573C42C2×#6711yescharacteristic
574C42C2×#6711yescharacteristic
575C42C23×D311yescharacteristic
576C22×C3—21no—
577C22×C3—21no—
578C22×C3—21no—
579C22×C3—21no—
580C22×C3—21no—
581C22×C3—21no—
582C22×C3—21no—
583C22×C3—21no—
584C22×C3#41312yes—
585C22×C3C22×C22⋊C411yescharacteristic
586C3×C4—21no—
587C3×C4—21no—
588C3×C4—21no—
589C3×C4—21no—
590C3×C4—21no—
591C3×C4—21no—
592C3×C4—21no—
593C3×C4—21no—
594C3×C4—21no—
595C3×C4—21no—
596C3×C4#57711yescharacteristic
597C3×C4#57711yescharacteristic
598C3×C4#57811yescharacteristic
599C3×C4#57811yescharacteristic
600Dic3—42no—
601Dic3—42no—
602Dic3—42no—
603Dic3—42no—
604C23C2×(C2×D3)⋊C411yescharacteristic
605C23C2×(C2×D3)⋊C411yescharacteristic
606C23C2×(C2×D3)⋊C411yescharacteristic
607Q8—41no—
608Q8—122no—
609Q8—122no—
610Q8—124no—
611Q8—121no—
612Q8—121no—
613Q8—121no—
614Q8—121no—
615D4—22no—
616D4—22no—
617D4—41no—
618C2×C4—22no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—62no—
634C2×C4—62no—
635C2×C4—62no—
636C2×C4—62no—
637C2×C4—124no—
638C2×C4C2×(C2×D3)⋊C411yescharacteristic
639C2×C4C2×(C2×D3)⋊C411yescharacteristic
640C2×C4C2×(C2×D3)⋊C411yescharacteristic
641C2×C4C2×(C2×D3)⋊C411yescharacteristic
642C2×C4C2×(C2×D3)⋊C411yescharacteristic
643C2×C4C2×(C2×D3)⋊C411yescharacteristic
644C2×C4C2×(C2×D3)⋊C411yescharacteristic
645C2×C4C2×(C2×D3)⋊C411yescharacteristic
646C2×C4C2×(C2×D3)⋊C411yescharacteristic
647C2×C4C22×C4×D311yescharacteristic
648C2×C4C22×D1211yescharacteristic
649C2×C4C22×#6711yescharacteristic
650C8—41no—
651C8—41no—
652C8—41no—
653C8—41no—
654C8—121no—
655C8—121no—
656C8—121no—
657C8—121no—
658C2×C3—22no—
659C2×C3—41no—
660C2×C3—41no—
661C2×C3C2×#41311yescharacteristic
662C2×C3#289811yescharacteristic
663C2×C3#289811yescharacteristic
664C22—21no—
665C22—21no—
666C22—21no—
667C22—21no—
668C22—21no—
669C22—21no—
670C22—21no—
671C22—21no—
672C22#513212yes—
673C22C22×(C2×D3)⋊C411yescharacteristic
674C4—21no—
675C4—21no—
676C4—21no—
677C4—21no—
678C4—21no—
679C4—21no—
680C4—21no—
681C4—21no—
682C4—21no—
683C4—21no—
684C4—122no—
685C4—122no—
686C4—122no—
687C4—122no—
688C4#575111yescharacteristic
689C4#575311yescharacteristic
690C4#583611yescharacteristic
691C4#583811yescharacteristic
692C3#1778011yescharacteristic, complemented, Sylow
693C2—22no—
694C2—41no—
695C2—41no—
696C2#8257011yescharacteristic
697C2C2×#513211yescharacteristic
698C2#8380611yescharacteristic
subgroupG/H
centerC22C22×(C2×D3)⋊C4
commutatorC2×C3×C4C23×C4
FrattiniC42C23×D3
FittingC3×#2990C2
socleC22×C3C22×C22⋊C4
prime radicalC2×C3×#41C2×C4
cosocleC3×C42C24
hypercenter#2990D3
hypocenterC3#17780
LCSG ▷ C2×C3×C4 ▷ C22×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×#41 ◁ #2990

Complements

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

NH ≅ G/Ntype
4. #70825C2semidirect
5. #70824C2semidirect
6. #70821C2semidirect
7. #70820C2semidirect
8. #70781C2semidirect
9. #70776C2semidirect
10. #70510C2semidirect
11. #70509C2semidirect
12. #70439C2semidirect
13. #70438C2semidirect
14. #70437C2semidirect
15. C2×#4481C2semidirect
692. C3#17780semidirect

Maximal subgroups

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

subgroupindex
#858302
C3×#29902
#825222
#708252
#708242
#708212
#708202
#707812
#707762
#705102
#705092
#704392
#704382
#704372
C2×#44812
#177803