Finite Group Databasebeta

← #13516705

Subgroups — #13516705

Order 1792.

2098 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90269C211yesmaximal, characteristic
2C7×Q8×C4⋊C4C211yesmaximal, characteristic, complemented
3#11739933C212yesmaximal
4#11739910C212yesmaximal, complemented
5#11739907C211yesmaximal, characteristic, complemented
6#11733642C212yesmaximal
7#11733438C214yesmaximal, complemented
8#11733431C212yesmaximal, complemented
9#11733416C214yesmaximal
10#11731803C212yesmaximal
11#11731768C211yesmaximal, characteristic, complemented
12#11731768C212yesmaximal, complemented
13#11731763C211yesmaximal, characteristic
14#11731205C212yesmaximal
15#11731198C211yesmaximal, characteristic
16#11731087C212yesmaximal, complemented
17#11731085C211yesmaximal, characteristic, complemented
18C2×C4×C7×Q8C2212yes—
19C2×C4×C7×Q8C2211yescharacteristic
20C2×#6509C2211yescharacteristic
21C2×#6507C2211yescharacteristic
22#90269C4116yescomplemented
23C2×#6460C2211yescharacteristic
24C2×#6459C2212yes—
25C2×#6455C2212yes—
26C2×#6452C2212yes—
27C2×#6451C2211yescharacteristic
28C2×#6450C2212yes—
29C2×#6450C2214yes—
30C2×#6435C2212yes—
31C2×#6435C2212yes—
32C2×C42×D7C2211yescharacteristic
33C2×C4×Dic14C2211yescharacteristic
34C2×C4×Dic14C2212yes—
35C7×#389C2212yes—
36C7×#389C2214yes—
37C7×#384C2211yescharacteristic
38C7×#384C2212yes—
39C4×C7×C4⋊C4C2212yes—
40C4×C7×C4⋊C4C2211yescharacteristic
41#90002C2212yes—
42#89762C2214yes—
43#89762C2214yes—
44#89759C2211yescharacteristic
45#89759C2212yes—
46#89759C2212yes—
47#89759C2211yescharacteristic
48#89753C2214yes—
49#89750C2214yes—
50#89750C2214yes—
51#89749C2212yes—
52#89749C2212yes—
53#89748C2212yes—
54#89748C2211yescharacteristic
55#89748C2211yescharacteristic
56C4⋊C4×Dic7C2212yes—
57C4⋊C4×Dic7C2212yes—
58C4⋊C4×Dic7C2212yes—
59C4⋊C4×Dic7C2212yes—
60C4⋊C4×Dic7C2212yes—
61#89745C2212yes—
62#89745C2214yes—
63#89744C2214yes—
64#89744C2214yes—
65#89744C2214yes—
66#89712C2214yes—
67#89708C2212yes—
68#89707C2211yescharacteristic
69C4×C4⋊Dic7C2212yes—
70C4×C4⋊Dic7C2211yescharacteristic
71C4×C4⋊Dic7C2212yes—
72#89705C2214yes—
73#89705C2214yes—
74C4×Dic7⋊C4C2214yes—
75C4×Dic7⋊C4C2212yes—
76#89701C2212yes—
77#89441C2214yes—
78#89439C2212yes—
79#89427C2214yes—
80#89426C2214yes—
81#89424C2214yes—
82#89422C2212yes—
83#89418C2214yes—
84#34374—71nomaximal, Sylow
85C22×C7×Q8C2311yescharacteristic
86C22×C4×D7C2311yescharacteristic
87C22×C4×D7C2311yescharacteristic
88C22×C4×D7C2311yescharacteristic
89C22×Dic14C2312yes—
90C22×Dic14C2311yescharacteristic
91C4×C7×Q8—44no—
92C4×C7×Q8C2×C418yes—
93C2×C7×C4⋊C4C2312yes—
94C2×C7×C4⋊C4C2312yes—
95C2×C7×C4⋊C4C2311yescharacteristic
96C2×C7×C4⋊C4C2311yescharacteristic
97C2×C7×C4⋊C4C2314yes—
98C2×C7×C4⋊C4C2312yes—
99C2×C7×C4⋊C4C2314yes—
100C2×C7×C4⋊C4C2311yescharacteristic
101C2×C7×C4⋊C4C2312yes—
102C2×C42×C7C2312yes—
103C2×C42×C7C2314yes—
104C2×C42×C7C2311yescharacteristic
105C2×C42×C7C2312yes—
106#6509C2×C418yes—
107#6507C2×C418yes—
108C2×(C2×D7)⋊C4C2312yes—
109C2×(C2×D7)⋊C4C2312yes—
110C2×(C2×D7)⋊C4C2314yes—
111C2×(C2×D7)⋊C4C2312yes—
112C2×(C2×D7)⋊C4C2312yes—
113C2×C4⋊Dic7C2312yes—
114C2×C4⋊Dic7C2311yescharacteristic
115C2×C4⋊Dic7C2312yes—
116C2×C4⋊Dic7C2311yescharacteristic
117C2×C4⋊Dic7C2312yes—
118C2×C4⋊Dic7C2311yescharacteristic
119C2×C4⋊Dic7C2312yes—
120C2×Dic7⋊C4C2312yes—
121C2×Dic7⋊C4C2312yes—
122C2×Dic7⋊C4C2312yes—
123C2×Dic7⋊C4C2312yes—
124C2×Dic7⋊C4C2314yes—
125C2×Dic7⋊C4C2314yes—
126C2×Dic7⋊C4C2312yes—
127C2×Dic7⋊C4C2312yes—
128C2×Dic7⋊C4C2312yes—
129C2×Dic7⋊C4C2312yes—
130C2×Dic7⋊C4C2312yes—
131C2×C4×Dic7C2312yes—
132C2×C4×Dic7C2314yes—
133C2×C4×Dic7C2314yes—
134C2×C4×Dic7C2314yes—
135C2×C4×Dic7C2314yes—
136C2×C4×Dic7C2311yescharacteristic
137C2×C4×Dic7C2312yes—
138C2×C4×Dic7C2311yescharacteristic
139C2×C4×Dic7C2311yescharacteristic
140#6460C2×C418yes—
141#6459C2×C4116yes—
142#6455—44no—
143#6452C2×C4116yes—
144#6451C2×C418yes—
145#6450—48no—
146#6450—44no—
147#6435—44no—
148#6435C2×C4116yes—
149C42×D7C2×C418yes—
150C4×Dic14C2×C4116yes—
151C4×Dic14C2×C418yes—
152C7×#95C2314yes—
153C7×#95C2312yes—
154C7⋊#95C2314yes—
155C7⋊#95C2314yes—
156C7⋊#95C2314yes—
157C7⋊#95C2312yes—
158C7⋊#95C2312yes—
159C7⋊#95C2312yes—
160C7⋊#95C2314yes—
161C7⋊#95C2314yes—
162C7⋊#95C2314yes—
163C7⋊#95C2314yes—
164C7⋊#95C2314yes—
165C7⋊#95C2314yes—
166C2×#533—71no—
167#2382—74no—
168#2365—72no—
169#2365—72no—
170#2355—71no—
171#2355—72no—
172#2355—71no—
173Q8×C4⋊C4—71no—
174Q8×C4⋊C4—72no—
175Q8×C4⋊C4D711yescharacteristic, complemented
176#2323—72no—
177#2323—74no—
178#2323—72no—
179#2314—72no—
180#2314—72no—
181#2285—71no—
182#2285—71no—
183C23×D7C2411yescharacteristic
184C2×C7×Q8—22no—
185C2×C7×Q8—22no—
186C2×C7×Q8C22×C414yes—
187C22×C4×C7C2412yes—
188C22×C4×C7C2414yes—
189C22×C4×C7C2412yes—
190C22×C4×C7C2412yes—
191C22×C4×C7C2412yes—
192C22×C4×C7C2411yescharacteristic
193C22×C4×C7C2411yescharacteristic
194C22×C4×C7C2411yescharacteristic
195C22×Dic7C2412yes—
196C22×Dic7C2414yes—
197C22×Dic7C2412yes—
198C22×Dic7C2411yescharacteristic
199C22×Dic7C2412yes—
200C22×Dic7C2412yes—
201C22×Dic7C2411yescharacteristic
202C22×Dic7C2411yescharacteristic
203C2×C4×D7—22no—
204C2×C4×D7—22no—
205C2×C4×D7—22no—
206C2×C4×D7—22no—
207C2×C4×D7—22no—
208C2×C4×D7—22no—
209C2×C4×D7C22×C414yes—
210C2×C4×D7C22×C414yes—
211C2×C4×D7C22×C414yes—
212C2×Dic14—22no—
213C2×Dic14—22no—
214C2×Dic14—24no—
215C2×Dic14—24no—
216C2×Dic14C22×C418yes—
217C2×Dic14C22×C414yes—
218C7×C4⋊C4—24no—
219C7×C4⋊C4—22no—
220C7×C4⋊C4—24no—
221C7×C4⋊C4—22no—
222C7×C4⋊C4—44no—
223C7×C4⋊C4—42no—
224C7×C4⋊C4—44no—
225C7×C4⋊C4C22×C414yes—
226C7×C4⋊C4C22×C418yes—
227C42×C7—24no—
228C42×C7—44no—
229C42×C7C22×C414yes—
230C42×C7C22×C418yes—
231(C2×D7)⋊C4—42no—
232(C2×D7)⋊C4—42no—
233(C2×D7)⋊C4—44no—
234(C2×D7)⋊C4C22×C418yes—
235(C2×D7)⋊C4C22×C418yes—
236C4⋊Dic7—24no—
237C4⋊Dic7—22no—
238C4⋊Dic7—24no—
239C4⋊Dic7—22no—
240C4⋊Dic7—42no—
241C4⋊Dic7C22×C414yes—
242C4⋊Dic7C22×C418yes—
243Dic7⋊C4—24no—
244Dic7⋊C4—24no—
245Dic7⋊C4—42no—
246Dic7⋊C4—42no—
247Dic7⋊C4—44no—
248Dic7⋊C4—44no—
249Dic7⋊C4C22×C418yes—
250Dic7⋊C4C22×C418yes—
251Dic7⋊C4C22×C418yes—
252Dic7⋊C4C22×C418yes—
253Dic7⋊C4C22×C418yes—
254C4×Dic7—24no—
255C4×Dic7—28no—
256C4×Dic7—44no—
257C4×Dic7—44no—
258C4×Dic7—44no—
259C4×Dic7C22×C414yes—
260C4×Dic7C22×C418yes—
261C4×Dic7C22×C414yes—
262C4×Dic7C22×C414yes—
263#533—716no—
264C2×C4⋊Q8—71no—
265C2×C4⋊Q8—71no—
266C2×#125—72no—
267C2×C22⋊Q8—71no—
268C2×C22⋊Q8—72no—
269C2×C22⋊Q8—71no—
270C2×C4×Q8—74no—
271C2×C4×Q8—72no—
272C2×C4×Q8—71no—
273C2×C4×Q8—72no—
274C2×C4×Q8C2×D712yes—
275C2×C4×Q8C2×D711yescharacteristic
276C2×#117—72no—
277C2×#117—72no—
278C2×#117—72no—
279C22×C42—71no—
280#391—72no—
281#391—72no—
282#391—74no—
283#389—74no—
284#389—72no—
285#389—74no—
286#389—74no—
287#389—74no—
288#389C2×D712yes—
289#389C2×D714yes—
290#388—74no—
291#388—74no—
292#388—74no—
293#388—74no—
294#387—74no—
295#387—74no—
296#387—74no—
297#387—74no—
298#387—74no—
299#387—74no—
300#387—74no—
301#387—74no—
302#384—72no—
303#384—71no—
304#384—71no—
305#384—71no—
306#384C2×D712yes—
307#384C2×D711yescharacteristic
308#382—72no—
309#382—72no—
310#382—72no—
311#382—72no—
312#380—71no—
313#380—72no—
314#380—71no—
315#380—72no—
316#380—72no—
317C4×C4⋊C4—72no—
318C4×C4⋊C4—72no—
319C4×C4⋊C4—72no—
320C4×C4⋊C4—72no—
321C4×C4⋊C4—72no—
322C4×C4⋊C4—72no—
323C4×C4⋊C4—74no—
324C4×C4⋊C4—72no—
325C4×C4⋊C4—71no—
326C4×C4⋊C4—72no—
327C4×C4⋊C4C2×D712yes—
328C4×C4⋊C4C2×D711yescharacteristic
329C23×C7C2511yescharacteristic
330C22×D7—21no—
331C22×D7—21no—
332C22×D7—21no—
333C22×D7—21no—
334C22×D7—21no—
335C22×D7—21no—
336C22×D7C23×C412yes—
337C7×Q8—28no—
338C2×C4×C7—22no—
339C2×C4×C7—21no—
340C2×C4×C7—22no—
341C2×C4×C7—22no—
342C2×C4×C7—21no—
343C2×C4×C7—22no—
344C2×C4×C7—24no—
345C2×C4×C7—22no—
346C2×C4×C7—24no—
347C2×C4×C7—22no—
348C2×C4×C7—22no—
349C2×C4×C7—22no—
350C2×C4×C7—22no—
351C2×C4×C7—24no—
352C2×C4×C7—22no—
353C2×C4×C7C23×C412yes—
354C2×C4×C7C23×C414yes—
355C2×C4×C7C23×C414yes—
356C2×C4×C7C23×C412yes—
357C2×C4×C7C23×C412yes—
358C2×C4×C7H(5,𝔽2)12yes—
359C2×C4×C72−1+412yes—
360C2×C4×C72−1+412yes—
361C2×C4×C72−1+412yes—
362C2×Dic7—22no—
363C2×Dic7—22no—
364C2×Dic7—21no—
365C2×Dic7—22no—
366C2×Dic7—22no—
367C2×Dic7—21no—
368C2×Dic7—21no—
369C2×Dic7—21no—
370C2×Dic7—22no—
371C2×Dic7—24no—
372C2×Dic7—22no—
373C2×Dic7—22no—
374C2×Dic7—22no—
375C2×Dic7—22no—
376C2×Dic7—24no—
377C2×Dic7—24no—
378C2×Dic7—22no—
379C2×Dic7C23×C412yes—
380C2×Dic7C23×C412yes—
381C2×Dic7C23×C414yes—
382C2×Dic7C23×C414yes—
383C2×Dic7C23×C412yes—
384C2×Dic7H(5,𝔽2)12yes—
385C2×Dic72−1+412yes—
386C4×D7—28no—
387C4×D7—28no—
388C4×D7—28no—
389Dic14—28no—
390Dic14—216no—
391C22×Q8—72no—
392C22×Q8—71no—
393C22×Q8C22×D711yescharacteristic
394C23×C4—71no—
395C23×C4—71no—
396C23×C4—71no—
397C4⋊Q8—78no—
398C4⋊Q8—78no—
399#125—716no—
400C22⋊Q8—78no—
401C22⋊Q8—716no—
402C22⋊Q8—78no—
403C4×Q8—44no—
404C4×Q8—716no—
405C4×Q8—78no—
406C4×Q8—284no—
407C4×Q8—288no—
408C4×Q8C4×D718yes—
409#117—716no—
410#117—284no—
411#117—284no—
412C2×C4⋊C4—72no—
413C2×C4⋊C4—72no—
414C2×C4⋊C4—72no—
415C2×C4⋊C4—72no—
416C2×C4⋊C4—72no—
417C2×C4⋊C4—72no—
418C2×C4⋊C4—71no—
419C2×C4⋊C4—72no—
420C2×C4⋊C4—72no—
421C2×C4⋊C4—72no—
422C2×C4⋊C4—71no—
423C2×C4⋊C4—71no—
424C2×C4⋊C4—72no—
425C2×C4⋊C4—72no—
426C2×C4⋊C4—72no—
427C2×C4⋊C4—72no—
428C2×C4⋊C4—74no—
429C2×C4⋊C4—74no—
430C2×C4⋊C4C22×D712yes—
431C2×C4⋊C4C22×D711yescharacteristic
432C2×C4⋊C4C22×D712yes—
433C2×C4⋊C4C22×D711yescharacteristic
434C2×C4⋊C4C22×D712yes—
435C2×C4⋊C4C22×D714yes—
436C2×C4⋊C4C22×D714yes—
437C2×C4⋊C4C22×D712yes—
438C2×C4⋊C4C22×D711yescharacteristic
439C2×C22⋊C4—72no—
440C2×C22⋊C4—72no—
441C2×C22⋊C4—74no—
442C2×C22⋊C4—72no—
443C2×C22⋊C4—72no—
444C2×C42—72no—
445C2×C42—71no—
446C2×C42—71no—
447C2×C42—71no—
448C2×C42—78no—
449C2×C42—74no—
450C2×C42—72no—
451C2×C42—74no—
452C2×C42—74no—
453C2×C42—74no—
454C2×C42C22×D712yes—
455C2×C42C22×D714yes—
456C2×C42C22×D712yes—
457C2×C42C22×D711yescharacteristic
458#95—72no—
459#95—74no—
460#95—72no—
461#95—74no—
462#95—72no—
463#95—74no—
464#95—74no—
465#95—74no—
466#95—74no—
467#95—74no—
468#95—74no—
469#95—74no—
470#95C22×D712yes—
471#95C22×D714yes—
472C22×C7C24×C411yescharacteristic
473C22×C7C2×H(5,𝔽2)11yescharacteristic
474C22×C7C2×H(5,𝔽2)11yescharacteristic
475C22×C7C2×2−1+411yescharacteristic
476C22×C7C2×2−1+411yescharacteristic
477C22×C7C2×2−1+411yescharacteristic
478C22×C7C2×2−1+411yescharacteristic
479C2×D7—22no—
480C2×D7—22no—
481C2×D7—22no—
482C2×D7—41no—
483C2×D7—41no—
484C2×D7—41no—
485C2×D7—41no—
486C4×C7—24no—
487C4×C7—22no—
488C4×C7—24no—
489C4×C7—44no—
490C4×C7—42no—
491C4×C7—42no—
492C4×C7#51914yes—
493C4×C7#52014yes—
494Dic7—22no—
495Dic7—24no—
496Dic7—24no—
497Dic7—22no—
498Dic7—42no—
499Dic7—42no—
500Dic7—44no—
501Dic7#52014yes—
502C24—71no—
503C2×Q8—22no—
504C2×Q8—22no—
505C2×Q8—78no—
506C2×Q8—74no—
507C2×Q8—144no—
508C2×Q8—144no—
509C2×Q8—142no—
510C2×Q8—142no—
511C2×Q8C2×C4×D714yes—
512C22×C4—71no—
513C22×C4—71no—
514C22×C4—72no—
515C22×C4—72no—
516C22×C4—71no—
517C22×C4—74no—
518C22×C4—74no—
519C22×C4—74no—
520C22×C4—72no—
521C22×C4—74no—
522C22×C4—72no—
523C22×C4—142no—
524C22×C4—142no—
525C22×C4—142no—
526C22×C4—142no—
527C22×C4—142no—
528C22×C4—142no—
529C22×C4C23×D712yes—
530C22×C4C23×D712yes—
531C22×C4C23×D714yes—
532C22×C4C23×D712yes—
533C22×C4C23×D712yes—
534C22×C4C23×D711yescharacteristic
535C22×C4C23×D711yescharacteristic
536C22×C4C23×D711yescharacteristic
537C4⋊C4—24no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—24no—
541C4⋊C4—42no—
542C4⋊C4—44no—
543C4⋊C4—44no—
544C4⋊C4—78no—
545C4⋊C4—78no—
546C4⋊C4—78no—
547C4⋊C4—78no—
548C4⋊C4—78no—
549C4⋊C4—78no—
550C4⋊C4—74no—
551C4⋊C4—144no—
552C4⋊C4—144no—
553C4⋊C4—144no—
554C4⋊C4—142no—
555C4⋊C4—144no—
556C4⋊C4—142no—
557C4⋊C4—282no—
558C4⋊C4—282no—
559C4⋊C4—284no—
560C4⋊C4—284no—
561C4⋊C4—282no—
562C4⋊C4C2×C4×D718yes—
563C4⋊C4C2×C4×D714yes—
564C22⋊C4—78no—
565C22⋊C4—78no—
566C22⋊C4—282no—
567C22⋊C4—282no—
568C22⋊C4—284no—
569C42—24no—
570C42—44no—
571C42—74no—
572C42—74no—
573C42—74no—
574C42—78no—
575C42—148no—
576C42—144no—
577C42—284no—
578C42—284no—
579C42—284no—
580C42C2×C4×D714yes—
581C42C2×C4×D718yes—
582C2×C7C2×#51911yescharacteristic
583C2×C7C2×#52011yescharacteristic
584C2×C7C2×#52011yescharacteristic
585C2×C7#354811yescharacteristic
586C2×C7#355011yescharacteristic
587C2×C7#355011yescharacteristic
588C2×C7#355611yescharacteristic
589D7—42no—
590C23—72no—
591C23—141no—
592C23—141no—
593C23—141no—
594C23—141no—
595C23—141no—
596C23—141no—
597C23C24×D711yescharacteristic
598Q8—28no—
599Q8—1416no—
600Q8—148no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—24no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—72no—
617C2×C4—72no—
618C2×C4—72no—
619C2×C4—72no—
620C2×C4—72no—
621C2×C4—74no—
622C2×C4—74no—
623C2×C4—148no—
624C2×C4—142no—
625C2×C4—141no—
626C2×C4—141no—
627C2×C4—141no—
628C2×C4—142no—
629C2×C4—141no—
630C2×C4—142no—
631C2×C4—142no—
632C2×C4—148no—
633C2×C4—148no—
634C2×C4—142no—
635C2×C4—142no—
636C2×C4—142no—
637C2×C4—144no—
638C2×C4—144no—
639C2×C4—142no—
640C2×C4—144no—
641C2×C4—142no—
642C2×C4—142no—
643C2×C4C22×C4×D712yes—
644C2×C4C22×C4×D714yes—
645C2×C4C22×C4×D714yes—
646C2×C4C22×C4×D712yes—
647C2×C4C22×C4×D712yes—
648C2×C4#654812yes—
649C2×C4#655112yes—
650C2×C4#655112yes—
651C2×C4#655412yes—
652C7#3437411yescharacteristic, complemented, Sylow
653C22—142no—
654C22—142no—
655C22—142no—
656C22—281no—
657C22—281no—
658C22—281no—
659C22—281no—
660C22C23×C4×D711yescharacteristic
661C22C2×#654811yescharacteristic
662C22C2×#655111yescharacteristic
663C22C2×#655111yescharacteristic
664C22C2×#655411yescharacteristic
665C22D7×H(5,𝔽2)11yescharacteristic
666C22D7×2−1+411yescharacteristic
667C4—24no—
668C4—22no—
669C4—24no—
670C4—42no—
671C4—42no—
672C4—44no—
673C4—74no—
674C4—142no—
675C4—144no—
676C4—142no—
677C4—144no—
678C4—282no—
679C4—282no—
680C4—284no—
681C4#9019514yes—
682C4#9026314yes—
683C2—282no—
684C2C2×#9019511yescharacteristic
685C2C2×#9026311yescharacteristic
686C2D7×#52011yescharacteristic
687C2#1174382311yescharacteristic
688C2#1174384811yescharacteristic
689C2#1174409511yescharacteristic
690C2#1174411211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutatorC22×C7C24×C4
FittingC7×Q8×C4⋊C4C2
socle, cosocleC23×C7C25
prime radicalC23×D7C24
hypercenterQ8×C4⋊C4D7
hypocenterC7#34374
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ Q8×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C7×Q8×C4⋊C4C2semidirect
4. #11739910C2semidirect
5. #11739907C2semidirect
7. #11733438C2semidirect
8. #11733431C2semidirect
11. #11731768C2semidirect
12. #11731768C2semidirect
16. #11731087C2semidirect
17. #11731085C2semidirect
22. #90269C4semidirect
175. Q8×C4⋊C4D7semidirect
652. C7#34374semidirect

Maximal subgroups

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

subgroupindex
C2×#902692
C7×Q8×C4⋊C42
#117399332
#117399102
#117399072
#117336422
#117334382
#117334312
#117334162
#117318032
#117317682
#117317632
#117312052
#117311982
#117310872
#117310852
#343747