Finite Group Databasebeta

← #13371982

Subgroups — #13371982

Order 1792.

1042 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2352C211yesmaximal, characteristic
2D4×C4⋊Dic7C211yesmaximal, characteristic
3C2×#89783C211yesmaximal, characteristic
4C2×#89767C211yesmaximal, characteristic, complemented
5C22×#6381C211yesmaximal, characteristic, complemented
6#11729330C211yesmaximal, characteristic, complemented
7#11729309C211yesmaximal, characteristic, complemented
8#11727304C211yesmaximal, characteristic, complemented
9#11727294C211yesmaximal, characteristic, complemented
10#11727267C211yesmaximal, characteristic, complemented
11#11727265C211yesmaximal, characteristic, complemented
12#11727259C211yesmaximal, characteristic, complemented
13#11727258C211yesmaximal, characteristic, complemented
14#11727235C211yesmaximal, characteristic, complemented
15#11727220C211yesmaximal, characteristic, complemented
16C2×C4×C7×D4C2211yescharacteristic
17C2×C7×#117C2211yescharacteristic
18C22×C7×C4⋊C4C2211yescharacteristic
19C2×D4×Dic7—21no—
20C22×C4⋊Dic7C2211yescharacteristic
21C22×C4⋊Dic7C2211yescharacteristic
22C22×#1136C2211yescharacteristic
23C23×C7⋊C8C2211yescharacteristic
24C7×#388—21no—
25C7×#387—21no—
26C7×#386—21no—
27C7×#382C2211yescharacteristic
28C7×#380C2211yescharacteristic
29C7×#380C2211yescharacteristic
30C4×C7×C4⋊C4C2211yescharacteristic
31C4×C7×C22⋊C4—21no—
32#89984C2211yescharacteristic
33#89984C2211yescharacteristic
34C2×C22⋊(C7⋊C8)C2211yescharacteristic
35C2×C22⋊(C7⋊C8)C2211yescharacteristic
36#89783C418yescomplemented
37#89767—24no—
38#89757—21no—
39C2×#6382C2211yescharacteristic
40C2×#6382C2211yescharacteristic
41C2×#6382C2211yescharacteristic
42C2×#6382C2211yescharacteristic
43C2×#6381—24no—
44C2×#6381C2211yescharacteristic
45C2×#6381C2211yescharacteristic
46C2×#6381C2211yescharacteristic
47C2×#6381C2211yescharacteristic
48C2×#6381C2211yescharacteristic
49C2×#6381C2211yescharacteristic
50#89722—21no—
51#89722—21no—
52#89707C2211yescharacteristic
53C4×C4⋊Dic7C2211yescharacteristic
54C2×C4⋊(C7⋊C8)C2211yescharacteristic
55C2×#6377C2211yescharacteristic
56#89324C2211yescharacteristic
57#89324C2211yescharacteristic
58#89324C2211yescharacteristic
59#89324C2211yescharacteristic
60#89324C2211yescharacteristic
61#89324C2211yescharacteristic
62#22661—71nomaximal, Sylow
63C22×C7×D4D411yescharacteristic
64C23×C4×C7—21no—
65C23×C4×C7C2311yescharacteristic
66C23×C4×C7C2311yescharacteristic
67C23×Dic7—21no—
68C23×Dic7—21no—
69C4×C7×D4C2×C414yes—
70C4×C7×D4Q814yes—
71C7×#117—22no—
72C7×#117—41no—
73C2×C7×C4⋊C4—22no—
74C2×C7×C4⋊C4—21no—
75C2×C7×C4⋊C4—41no—
76C2×C7×C4⋊C4D411yescharacteristic
77C2×C7×C4⋊C4C2311yescharacteristic
78C2×C7×C4⋊C4C2311yescharacteristic
79C2×C7×C4⋊C4C2311yescharacteristic
80C2×C7×C4⋊C4C2311yescharacteristic
81C2×C7×C22⋊C4—21no—
82C2×C7×C22⋊C4—21no—
83C2×C7×C22⋊C4—21no—
84C2×C7×C22⋊C4D411yescharacteristic
85C2×C7×C22⋊C4D411yescharacteristic
86C2×C42×C7—21no—
87C2×C42×C7—21no—
88C2×C42×C7C2311yescharacteristic
89C2×C22⋊Dic7—21no—
90C2×C22⋊Dic7—21no—
91D4×Dic7—44no—
92C2×C4⋊Dic7—22no—
93C2×C4⋊Dic7—22no—
94C2×C4⋊Dic7—21no—
95C2×C4⋊Dic7—21no—
96C2×C4⋊Dic7—21no—
97C2×C4⋊Dic7—21no—
98C2×C4⋊Dic7—41no—
99C2×C4⋊Dic7—41no—
100C2×C4⋊Dic7C2311yescharacteristic
101C2×C4⋊Dic7C2311yescharacteristic
102C2×C4⋊Dic7C2311yescharacteristic
103C2×C4⋊Dic7C2311yescharacteristic
104C2×C4×Dic7—21no—
105C2×#1136—22no—
106C2×#1136—22no—
107C2×#1136C2×C414yescomplemented
108C22×C7⋊C8—22no—
109C22×C7⋊C8—22no—
110C22×C7⋊C8C2×C414yescomplemented
111C22×C7⋊C8C2311yescharacteristic
112C22×C7⋊C8C2311yescharacteristic
113C22×C7⋊C8C2311yescharacteristic
114C22×C7⋊C8C2311yescharacteristic
115C7×#95—21no—
116C7×#95—21no—
117C7×#95—21no—
118C7×#95—21no—
119C7×#95—21no—
120C7⋊#95—21no—
121C7⋊#95—21no—
122C7⋊#95—21no—
123C22⋊(C7⋊C8)C2×C414yescomplemented
124C22⋊(C7⋊C8)C2×C414yescomplemented
125#6382—22no—
126#6382—22no—
127#6382—22no—
128#6382—41no—
129#6381—22no—
130#6381—22no—
131#6381—22no—
132#6381—22no—
133#6381—41no—
134#6381D414yescomplemented
135C4⋊(C7⋊C8)C2×C414yescomplemented
136#6377C2×C414yescomplemented
137C2×#435—71no—
138C2×#428—71no—
139C22×#107—71no—
140#2352D711yescharacteristic
141D4×C4⋊C4—71no—
142#1949—71no—
143#1947—71no—
144#1854—71no—
145#1853—71no—
146#1852—71no—
147#1852—71no—
148#1847—71no—
149#1809—71no—
150#1807—71no—
151#1776—71no—
152C24×C7C2×D411yescharacteristic
153C24×C7C2×D411yescharacteristic
154C2×C7×D4—22no—
155C2×C7×D4—22no—
156C2×C7×D4C4⋊C414yes—
157C22×C4×C7—21no—
158C22×C4×C7—21no—
159C22×C4×C7—21no—
160C22×C4×C7—21no—
161C22×C4×C7—21no—
162C22×C4×C7—21no—
163C22×C4×C7—21no—
164C22×C4×C7—21no—
165C22×C4×C7—21no—
166C22×C4×C7—21no—
167C22×C4×C7—21no—
168C22×C4×C7—21no—
169C22×C4×C7—42no—
170C22×C4×C7—42no—
171C22×C4×C7—81no—
172C22×C4×C7C22×C412yes—
173C22×C4×C7C22×C412yes—
174C22×C4×C7C2×D411yescharacteristic
175C22×C4×C7C2×D411yescharacteristic
176C22×C4×C7C2×D411yescharacteristic
177C22×C4×C7C2×D411yescharacteristic
178C22×C4×C7C2×Q812yes—
179C22×C4×C7C2×Q812yes—
180C22×C4×C7C2411yescharacteristic
181C22×Dic7—21no—
182C22×Dic7—21no—
183C22×Dic7—21no—
184C22×Dic7—21no—
185C22×Dic7—42no—
186C22×Dic7—42no—
187C22×Dic7—42no—
188C22×Dic7—42no—
189C22×Dic7—81no—
190C22×Dic7—81no—
191C7×C4⋊C4—21no—
192C7×C4⋊C4—21no—
193C7×C4⋊C4—21no—
194C7×C4⋊C4—21no—
195C7×C4⋊C4—21no—
196C7×C4⋊C4—21no—
197C7×C4⋊C4—21no—
198C7×C4⋊C4—42no—
199C7×C4⋊C4C4⋊C414yes—
200C7×C4⋊C4C2×D412yes—
201C7×C22⋊C4—42no—
202C7×C22⋊C4—42no—
203C7×C22⋊C4—81no—
204C7×C22⋊C4C4⋊C414yes—
205C7×C22⋊C4C4⋊C414yes—
206C42×C7—42no—
207C42×C7—81no—
208C42×C7C22×C412yes—
209C42×C7C2×Q812yes—
210C22⋊Dic7—42no—
211C22⋊Dic7—42no—
212C4⋊Dic7—21no—
213C4⋊Dic7—21no—
214C4⋊Dic7—21no—
215C4⋊Dic7—21no—
216C4⋊Dic7—21no—
217C4⋊Dic7—21no—
218C4⋊Dic7—21no—
219C4⋊Dic7—42no—
220C4⋊Dic7—42no—
221C4⋊Dic7—42no—
222C4⋊Dic7—81no—
223C4⋊Dic7C2×D412yes—
224C4×Dic7—42no—
225#1136—28no—
226C2×C7⋊C8—21no—
227C2×C7⋊C8—21no—
228C2×C7⋊C8—21no—
229C2×C7⋊C8—21no—
230C2×C7⋊C8—21no—
231C2×C7⋊C8—21no—
232C2×C7⋊C8—28no—
233C2×C7⋊C8C22×C412yes—
234C2×C7⋊C8C22×C412yes—
235C2×C7⋊C8C22×C412yes—
236C2×C7⋊C8C22×C412yes—
237C2×C7⋊C8C2×D412yes—
238C2×C7⋊C8#4112yes—
239C22×M16—71no—
240C23×C8—71no—
241C2×C4×D4—141no—
242C2×C4×D4C2×D711yescharacteristic
243C2×#117C2×D711yescharacteristic
244C22×C4⋊C4—71no—
245C22×C4⋊C4—71no—
246C22×C4⋊C4C2×D711yescharacteristic
247#435—78no—
248#428—144no—
249C2×#107—71no—
250C2×#107—71no—
251C2×#107—71no—
252C2×#107—71no—
253C2×#107—71no—
254C2×#107—71no—
255C2×#107—144no—
256C2×#106—71no—
257C2×#106—71no—
258C2×#106—71no—
259C2×#106—71no—
260C2×C4⋊C8—71no—
261C2×C22⋊C8—71no—
262C2×C22⋊C8—71no—
263C2×#97—71no—
264#389—141no—
265#388—21no—
266#387—21no—
267#386—21no—
268#385—141no—
269#385—141no—
270#384—71no—
271#382C2×D711yescharacteristic
272#380—71no—
273#380—71no—
274#380C2×D711yescharacteristic
275#380C2×D711yescharacteristic
276C4×C4⋊C4—71no—
277C4×C4⋊C4C2×D711yescharacteristic
278C4×C22⋊C4—21no—
279#340—71no—
280#340—71no—
281#340—71no—
282#340—71no—
283#340—71no—
284#340—71no—
285C23×C7—21no—
286C23×C7—21no—
287C23×C7—21no—
288C23×C7—21no—
289C23×C7—21no—
290C23×C7—21no—
291C23×C7—21no—
292C23×C7—21no—
293C23×C7—21no—
294C23×C7—21no—
295C23×C7C2×C4⋊C412yes—
296C23×C7C2×C4⋊C412yes—
297C23×C7AGL(1,ℤ/8)12yes—
298C23×C7#13712yes—
299C23×C7C22×D411yescharacteristic
300C7×D4—28no—
301C2×C4×C7—21no—
302C2×C4×C7—21no—
303C2×C4×C7—21no—
304C2×C4×C7—21no—
305C2×C4×C7—21no—
306C2×C4×C7—21no—
307C2×C4×C7—21no—
308C2×C4×C7—21no—
309C2×C4×C7—22no—
310C2×C4×C7—22no—
311C2×C4×C7—22no—
312C2×C4×C7—22no—
313C2×C4×C7—22no—
314C2×C4×C7—22no—
315C2×C4×C7—22no—
316C2×C4×C7—22no—
317C2×C4×C7—22no—
318C2×C4×C7—41no—
319C2×C4×C7—41no—
320C2×C4×C7—41no—
321C2×C4×C7—41no—
322C2×C4×C7—41no—
323C2×C4×C7—41no—
324C2×C4×C7—41no—
325C2×C4×C7—41no—
326C2×C4×C7—41no—
327C2×C4×C7—41no—
328C2×C4×C7—41no—
329C2×C4×C7—84no—
330C2×C4×C7C2×C4⋊C412yes—
331C2×C4×C7C2×C4⋊C412yes—
332C2×C4×C7C2×C4⋊C412yes—
333C2×C4×C7C2×C4⋊C412yes—
334C2×C4×C7C23×C411yescharacteristic
335C2×C4×C7C22×D411yescharacteristic
336C2×C4×C7C22×Q811yescharacteristic
337C2×C4×C7C2×#4111yescharacteristic
338C2×C4×C7H(5,𝔽2)11yescharacteristic
339C2×C4×C72−1+411yescharacteristic
340C2×Dic7—22no—
341C2×Dic7—41no—
342C2×Dic7—41no—
343C2×Dic7—41no—
344C2×Dic7—41no—
345C2×Dic7—41no—
346C2×Dic7—41no—
347C2×Dic7—41no—
348C2×Dic7—41no—
349C2×Dic7—41no—
350C2×Dic7—41no—
351C2×Dic7—41no—
352C2×Dic7—84no—
353C2×Dic7—84no—
354C7⋊C8—22no—
355C7⋊C8—22no—
356C7⋊C8—22no—
357C7⋊C8C4×D414yescomplemented
358C22×D4C22⋊D711yescharacteristic
359C23×C4—21no—
360C23×C4—141no—
361C23×C4—141no—
362C23×C4C22×D711yescharacteristic
363C23×C4C22×D711yescharacteristic
364C2×M16—74no—
365C2×M16—142no—
366C2×M16—142no—
367C22×C8—71no—
368C22×C8—74no—
369C22×C8—71no—
370C22×C8—71no—
371C22×C8—71no—
372C22×C8—142no—
373C22×C8—142no—
374C4×D4—284no—
375C4×D4Dic1414yes—
376C4×D4C4×D714yes—
377#117—22no—
378#117—41no—
379C2×C4⋊C4—22no—
380C2×C4⋊C4—21no—
381C2×C4⋊C4—41no—
382C2×C4⋊C4—71no—
383C2×C4⋊C4—71no—
384C2×C4⋊C4—71no—
385C2×C4⋊C4—71no—
386C2×C4⋊C4—142no—
387C2×C4⋊C4—142no—
388C2×C4⋊C4—141no—
389C2×C4⋊C4—141no—
390C2×C4⋊C4—141no—
391C2×C4⋊C4—141no—
392C2×C4⋊C4—281no—
393C2×C4⋊C4—281no—
394C2×C4⋊C4C22⋊D711yescharacteristic
395C2×C4⋊C4C22×D711yescharacteristic
396C2×C4⋊C4C22×D711yescharacteristic
397C2×C4⋊C4C22×D711yescharacteristic
398C2×C4⋊C4C22×D711yescharacteristic
399C2×C22⋊C4—21no—
400C2×C22⋊C4—21no—
401C2×C22⋊C4—21no—
402C2×C22⋊C4—141no—
403C2×C22⋊C4—141no—
404C2×C22⋊C4C22⋊D711yescharacteristic
405C2×C22⋊C4C22⋊D711yescharacteristic
406C2×C42—21no—
407C2×C42—21no—
408C2×C42—141no—
409C2×C42C22×D711yescharacteristic
410#107—74no—
411#107—142no—
412#107—142no—
413#107—142no—
414#107—142no—
415#107—281no—
416#106—142no—
417#106—142no—
418#106—142no—
419#106—281no—
420C4⋊C8—74no—
421C22⋊C8—74no—
422C22⋊C8—74no—
423#97—74no—
424#95—21no—
425#95—21no—
426#95—21no—
427#95—21no—
428#95—21no—
429#95—141no—
430#95—141no—
431#95—141no—
432C22×C7—22no—
433C22×C7—22no—
434C22×C7—22no—
435C22×C7—22no—
436C22×C7—22no—
437C22×C7—22no—
438C22×C7—22no—
439C22×C7—22no—
440C22×C7—22no—
441C22×C7—41no—
442C22×C7—41no—
443C22×C7—41no—
444C22×C7—41no—
445C22×C7#42814yescomplemented
446C22×C7C22×C4⋊C411yescharacteristic
447C22×C7D4211yescharacteristic
448C22×C7#54711yescharacteristic
449C22×C7C2×AGL(1,ℤ/8)11yescharacteristic
450C22×C7C2×#13711yescharacteristic
451C22×C7#57611yescharacteristic
452C22×C7#57811yescharacteristic
453C4×C7—22no—
454C4×C7—22no—
455C4×C7—22no—
456C4×C7—22no—
457C4×C7—42no—
458C4×C7—81no—
459C4×C7—81no—
460C4×C7—81no—
461C4×C7C2×C4×D411yescharacteristic
462C4×C7#52011yescharacteristic
463C4×C7D4×Q811yescharacteristic
464C4×C7#55411yescharacteristic
465Dic7—42no—
466Dic7—81no—
467Dic7—81no—
468Dic7—81no—
469C24C2×C22⋊D711yescharacteristic
470C24C2×C22⋊D711yescharacteristic
471C2×D4—22no—
472C2×D4—22no—
473C2×D4Dic7⋊C414yes—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—81no—
489C22×C4—141no—
490C22×C4—141no—
491C22×C4—141no—
492C22×C4—141no—
493C22×C4—282no—
494C22×C4—282no—
495C22×C4—282no—
496C22×C4—282no—
497C22×C4—561no—
498C22×C4—561no—
499C22×C4C2×Dic1412yes—
500C22×C4C2×Dic1412yes—
501C22×C4C2×C4×D712yes—
502C22×C4C2×C4×D712yes—
503C22×C4C2×C22⋊D711yescharacteristic
504C22×C4C2×C22⋊D711yescharacteristic
505C22×C4C2×C22⋊D711yescharacteristic
506C22×C4C2×C22⋊D711yescharacteristic
507C22×C4C23×D711yescharacteristic
508M16—148no—
509C2×C8—72no—
510C2×C8—72no—
511C2×C8—72no—
512C2×C8—72no—
513C2×C8—72no—
514C2×C8—72no—
515C2×C8—148no—
516C2×C8—141no—
517C2×C8—141no—
518C2×C8—141no—
519C2×C8—141no—
520C2×C8—141no—
521C2×C8—141no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—42no—
530C4⋊C4—72no—
531C4⋊C4—141no—
532C4⋊C4—141no—
533C4⋊C4—141no—
534C4⋊C4—141no—
535C4⋊C4—141no—
536C4⋊C4—141no—
537C4⋊C4—141no—
538C4⋊C4—282no—
539C4⋊C4—282no—
540C4⋊C4—282no—
541C4⋊C4—561no—
542C4⋊C4Dic7⋊C414yes—
543C4⋊C4D4×D712yes—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—81no—
547C22⋊C4—282no—
548C22⋊C4—282no—
549C22⋊C4Dic7⋊C414yes—
550C22⋊C4Dic7⋊C414yes—
551C42—42no—
552C42—81no—
553C42—282no—
554C42C2×Dic1412yes—
555C42C2×C4×D712yes—
556C2×C7—24no—
557C2×C7—42no—
558C2×C7D4×C4⋊C411yescharacteristic
559C2×C7C2×#42811yescharacteristic
560C2×C7#291311yescharacteristic
561C2×C7#326411yescharacteristic
562C2×C7#327011yescharacteristic
563C2×C7#334311yescharacteristic
564C2×C7#334611yescharacteristic
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23C2×Dic7⋊C412yes—
576C23C2×Dic7⋊C412yes—
577C23#651212yes—
578C23#651412yes—
579C23C22×C22⋊D711yescharacteristic
580D4—28no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—84no—
610C2×C4—142no—
611C2×C4—281no—
612C2×C4—281no—
613C2×C4—281no—
614C2×C4—281no—
615C2×C4—281no—
616C2×C4—281no—
617C2×C4—281no—
618C2×C4—281no—
619C2×C4—281no—
620C2×C4—281no—
621C2×C4—281no—
622C2×C4—564no—
623C2×C4—564no—
624C2×C4C2×Dic7⋊C412yes—
625C2×C4C2×Dic7⋊C412yes—
626C2×C4C2×Dic7⋊C412yes—
627C2×C4C2×Dic7⋊C412yes—
628C2×C4C22×Dic1411yescharacteristic
629C2×C4C22×C4×D711yescharacteristic
630C2×C4C2×D4×D711yescharacteristic
631C2×C4#654811yescharacteristic
632C2×C4D7×#4111yescharacteristic
633C2×C4#655411yescharacteristic
634C8—74no—
635C8—142no—
636C8—142no—
637C8—142no—
638C7#2266111yescharacteristic, complemented, Sylow
639C22—22no—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22#8976714yescomplemented
653C22C22×Dic7⋊C411yescharacteristic
654C22D4×C22⋊D711yescharacteristic
655C22C2×#651211yescharacteristic
656C22C2×#651411yescharacteristic
657C22#9051511yescharacteristic
658C22#9052611yescharacteristic
659C22#9052911yescharacteristic
660C4—22no—
661C4—22no—
662C4—22no—
663C4—22no—
664C4—42no—
665C4—81no—
666C4—81no—
667C4—81no—
668C4—282no—
669C4—561no—
670C4—561no—
671C4—561no—
672C4D4×Dic1411yescharacteristic
673C4#9023011yescharacteristic
674C4C4×D4×D711yescharacteristic
675C4#9023711yescharacteristic
676C2—24no—
677C2—42no—
678C2C2×#8976711yescharacteristic
679C2D4×Dic7⋊C411yescharacteristic
680C2#1174000711yescharacteristic
681C2#1174094711yescharacteristic
682C2#1174099111yescharacteristic
683C2#1174103711yescharacteristic
684C2#1174105411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D7
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
FittingC7×#2352C2
socleC23×C7C22×D4
prime radicalC22×C7×D4D4
cosocleC22×C4×C7C24
hypercenter#2352D7
hypocenterC7#22661
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2352

Complements

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

NH ≅ G/Ntype
4. C2×#89767C2semidirect
5. C22×#6381C2semidirect
6. #11729330C2semidirect
7. #11729309C2semidirect
8. #11727304C2semidirect
9. #11727294C2semidirect
10. #11727267C2semidirect
11. #11727265C2semidirect
12. #11727259C2semidirect
13. #11727258C2semidirect
14. #11727235C2semidirect
15. #11727220C2semidirect
36. #89783C4semidirect
107. C2×#1136C2×C4semidirect
110. C22×C7⋊C8C2×C4semidirect
123. C22⋊(C7⋊C8)C2×C4semidirect
124. C22⋊(C7⋊C8)C2×C4semidirect
134. #6381D4semidirect
135. C4⋊(C7⋊C8)C2×C4semidirect
136. #6377C2×C4semidirect
357. C7⋊C8C4×D4semidirect
445. C22×C7#428semidirect
638. C7#22661semidirect
652. C22#89767semidirect

Maximal subgroups

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

subgroupindex
C7×#23522
D4×C4⋊Dic72
C2×#897832
C2×#897672
C22×#63812
#117293302
#117293092
#117273042
#117272942
#117272672
#117272652
#117272592
#117272582
#117272352
#117272202
#226617