Finite Group Databasebeta

← #13364951

Subgroups — #13364951

Order 1792.

1012 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2297C211yesmaximal, characteristic
2C2×#90011C211yesmaximal, characteristic
3C4×#6487C211yesmaximal, characteristic, complemented
4#11729889C211yesmaximal, characteristic
5#11729339C211yesmaximal, characteristic, complemented
6#11729330C211yesmaximal, characteristic, complemented
7C4×C22⋊(C7⋊C8)C211yesmaximal, characteristic, complemented
8#11727444C211yesmaximal, characteristic, complemented
9#11727431C211yesmaximal, characteristic, complemented
10#11727428C211yesmaximal, characteristic, complemented
11#11727420C211yesmaximal, characteristic, complemented
12#11727414C211yesmaximal, characteristic, complemented
13#11727400C211yesmaximal, characteristic, complemented
14#11727398C211yesmaximal, characteristic, complemented
15#11727390C211yesmaximal, characteristic, complemented
16C22×C7×#41C2211yescharacteristic
17C2×C7×#117C2211yescharacteristic
18C22×C42×C7C2211yescharacteristic
19C22×#1144C2211yescharacteristic
20C22×#1142C2211yescharacteristic
21C2×#6487C2211yescharacteristic
22C2×C4×Dic14C2211yescharacteristic
23C7×#391C2211yescharacteristic
24C7×#391C2211yescharacteristic
25C7×#390C2211yescharacteristic
26C7×#390C2211yescharacteristic
27C7×#386—21no—
28C7×#386—21no—
29C4×C7×C22⋊C4—21no—
30C4×C7×C22⋊C4—21no—
31#90011C418yescomplemented
32C2×#6409C2211yescharacteristic
33C2×#6409C2211yescharacteristic
34C2×#6409C2211yescharacteristic
35C2×#6406C2211yescharacteristic
36C2×#6406C2211yescharacteristic
37C2×#6406C2211yescharacteristic
38#89984C2211yescharacteristic
39#89982—21no—
40C4×C22⋊Dic7—21no—
41C2×C22⋊(C7⋊C8)C2211yescharacteristic
42C2×C22⋊(C7⋊C8)C2211yescharacteristic
43C2×#6384C2211yescharacteristic
44C2×#6384C2211yescharacteristic
45C2×#6382C2211yescharacteristic
46C2×#6381C2211yescharacteristic
47C4×C4⋊Dic7C2211yescharacteristic
48#89705—21no—
49C4×Dic7⋊C4—21no—
50#89701C2211yescharacteristic
51#89700C2211yescharacteristic
52C2×C4×C7⋊C8C2211yescharacteristic
53C2×C4×C7⋊C8C2211yescharacteristic
54#89324C2211yescharacteristic
55#89324C2211yescharacteristic
56#89324C2211yescharacteristic
57#89324C2211yescharacteristic
58#89319C2211yescharacteristic
59#89319C2211yescharacteristic
60#22042—71nomaximal, Sylow
61C2×C7×#41—22no—
62C2×C7×#41—41no—
63C2×C7×#41—41no—
64C2×C7×#41—41no—
65C2×C7×#41—41no—
66C2×C7×#41C2×C414yes—
67C22×C7×Q8C2311yescharacteristic
68C22×C7×D4—21no—
69C22×C7×D4C2311yescharacteristic
70C23×C4×C7—21no—
71C23×C4×C7D411yescharacteristic
72C23×C4×C7D411yescharacteristic
73C23×C4×C7C2311yescharacteristic
74C22×Dic14C2311yescharacteristic
75C7×#117—41no—
76C7×#117—41no—
77C2×C7×C4⋊C4C2311yescharacteristic
78C2×C7×C4⋊C4C2311yescharacteristic
79C2×C7×C22⋊C4—21no—
80C2×C7×C22⋊C4—21no—
81C2×C7×C22⋊C4—21no—
82C2×C7×C22⋊C4—21no—
83C2×C7×C22⋊C4—21no—
84C2×C42×C7—21no—
85C2×C42×C7—41no—
86C2×C42×C7—41no—
87C2×C42×C7D411yescharacteristic
88C2×C42×C7D411yescharacteristic
89C2×C42×C7C2311yescharacteristic
90C2×C42×C7C2311yescharacteristic
91C2×C22⋊Dic7—21no—
92C2×C22⋊Dic7—21no—
93C2×#1144—41no—
94C2×#1144—41no—
95C2×#1144C2×C414yescomplemented
96C2×#1142—41no—
97C2×#1142—41no—
98C2×#1142C2×C414yescomplemented
99C2×C4⋊Dic7C2311yescharacteristic
100C2×C4⋊Dic7C2311yescharacteristic
101C2×C4⋊Dic7C2311yescharacteristic
102#6487—22no—
103#6487C2×C414yes—
104C2×Dic7⋊C4—21no—
105C2×Dic7⋊C4—21no—
106C2×Dic7⋊C4—21no—
107C2×C4×Dic7—21no—
108C2×C4×Dic7—21no—
109C22×C7⋊C8C2311yescharacteristic
110C22×C7⋊C8C2311yescharacteristic
111C22×C7⋊C8C2311yescharacteristic
112C22×C7⋊C8C2311yescharacteristic
113C4×Dic14—41no—
114C4×Dic14—41no—
115C7×#95—21no—
116C7×#95—21no—
117C7×#95—21no—
118C7×#95—21no—
119#6409—41no—
120#6409—41no—
121#6409C2×C414yescomplemented
122#6406—41no—
123#6406—41no—
124#6406C2×C414yescomplemented
125C7⋊#95—21no—
126C7⋊#95—21no—
127C7⋊#95—21no—
128C7⋊#95—21no—
129C7⋊#95—21no—
130C22⋊(C7⋊C8)—22no—
131C22⋊(C7⋊C8)C2×C414yes—
132#6384—41no—
133#6384—41no—
134#6382—41no—
135#6381—41no—
136C4×C7⋊C8—41no—
137C4×C7⋊C8—41no—
138C2×#452—71no—
139C4×C22⋊Q8—71no—
140#2297D711yescharacteristic
141#1969—71no—
142#1968—71no—
143#1934—71no—
144#1933—71no—
145#1927—71no—
146#1925—71no—
147#1880—71no—
148#1878—71no—
149#1873—71no—
150#1854—71no—
151#1788—71no—
152C4×C22⋊C8—71no—
153C24×C7—21no—
154C24×C7C2×D411yescharacteristic
155C7×#41—44no—
156C7×#41—44no—
157C7×#41—44no—
158C7×#41—44no—
159C2×C7×Q8—21no—
160C2×C7×Q8—21no—
161C2×C7×Q8—21no—
162C2×C7×Q8—21no—
163C2×C7×Q8—21no—
164C2×C7×Q8C22×C412yes—
165C2×C7×D4—24no—
166C2×C7×D4—21no—
167C2×C7×D4—21no—
168C2×C7×D4—21no—
169C2×C7×D4—21no—
170C2×C7×D4—21no—
171C2×C7×D4—42no—
172C2×C7×D4—42no—
173C2×C7×D4C22×C412yes—
174C22×C4×C7—21no—
175C22×C4×C7—21no—
176C22×C4×C7—21no—
177C22×C4×C7—21no—
178C22×C4×C7—21no—
179C22×C4×C7—24no—
180C22×C4×C7—22no—
181C22×C4×C7—22no—
182C22×C4×C7—22no—
183C22×C4×C7—21no—
184C22×C4×C7—21no—
185C22×C4×C7—41no—
186C22×C4×C7—41no—
187C22×C4×C7—41no—
188C22×C4×C7—42no—
189C22×C4×C7—42no—
190C22×C4×C7C22×C412yes—
191C22×C4×C7C2×D411yescharacteristic
192C22×C4×C7C2×D411yescharacteristic
193C22×C4×C7C2×D411yescharacteristic
194C22×C4×C7C2×D411yescharacteristic
195C22×C4×C7C2×D411yescharacteristic
196C22×C4×C7#4112yes—
197C22×C4×C7C2411yescharacteristic
198C22×Dic7—21no—
199C22×Dic7—21no—
200C22×Dic7—21no—
201C22×Dic7—21no—
202C2×Dic14—21no—
203C2×Dic14—21no—
204C2×Dic14—21no—
205C2×Dic14—21no—
206C2×Dic14—21no—
207C2×Dic14C22×C412yes—
208C7×C4⋊C4—21no—
209C7×C4⋊C4—21no—
210C7×C4⋊C4—21no—
211C7×C4⋊C4—21no—
212C7×C22⋊C4—42no—
213C7×C22⋊C4—42no—
214C7×C22⋊C4—42no—
215C7×C22⋊C4—42no—
216C7×C22⋊C4—42no—
217C42×C7—21no—
218C42×C7—21no—
219C42×C7—21no—
220C42×C7—21no—
221C42×C7—41no—
222C42×C7—41no—
223C42×C7—42no—
224C22⋊Dic7—24no—
225C22⋊Dic7—42no—
226#1144—44no—
227#1142—44no—
228C4⋊Dic7—21no—
229C4⋊Dic7—21no—
230C4⋊Dic7—21no—
231C4⋊Dic7—21no—
232C4⋊Dic7—21no—
233C4⋊Dic7C22×C412yes—
234Dic7⋊C4—24no—
235Dic7⋊C4—42no—
236Dic7⋊C4—42no—
237C4×Dic7—42no—
238C4×Dic7—42no—
239C2×C7⋊C8—21no—
240C2×C7⋊C8—21no—
241C2×C7⋊C8—21no—
242C2×C7⋊C8—21no—
243C2×C7⋊C8—21no—
244C2×C7⋊C8—21no—
245C2×C7⋊C8—21no—
246C2×C7⋊C8—21no—
247C2×C7⋊C8—21no—
248C2×C7⋊C8—21no—
249C2×C7⋊C8C22×C412yes—
250C2×C7⋊C8C22×C412yes—
251C22×#41C2×D711yescharacteristic
252C22×Q16—71no—
253C22×SD16—71no—
254C2×C22⋊Q8—71no—
255C2×C4×Q8—71no—
256C2×#117C2×D711yescharacteristic
257C22×C42C2×D711yescharacteristic
258#452—78no—
259C2×#107—71no—
260C2×#106—71no—
261C2×#103—71no—
262C2×#103—71no—
263C2×#103—71no—
264C2×#103—71no—
265C2×#103—71no—
266C2×#102—71no—
267C2×#102—71no—
268C2×#102—71no—
269C2×C22⋊C8—71no—
270C2×C22⋊C8—71no—
271C2×C4×C8—71no—
272C2×C4×C8—71no—
273#391—71no—
274#391C2×D711yescharacteristic
275#391C2×D711yescharacteristic
276#390C2×D711yescharacteristic
277#390C2×D711yescharacteristic
278#389—71no—
279#387—141no—
280#386—21no—
281#386—21no—
282#385—141no—
283#380—71no—
284C4×C4⋊C4—71no—
285C4×C4⋊C4—141no—
286C4×C22⋊C4—21no—
287C4×C22⋊C4—21no—
288C4×C22⋊C4—141no—
289#340—71no—
290#340—71no—
291#340—71no—
292#340—71no—
293#336—71no—
294#336—71no—
295C23×C7—21no—
296C23×C7—21no—
297C23×C7—21no—
298C23×C7—21no—
299C23×C7—21no—
300C23×C7—21no—
301C23×C7—22no—
302C23×C7—41no—
303C23×C7—41no—
304C23×C7—41no—
305C23×C7—41no—
306C23×C7—41no—
307C23×C7—41no—
308C23×C7C4×D412yes—
309C23×C7C22×D411yescharacteristic
310C7×Q8—22no—
311C7×Q8—22no—
312C7×Q8—41no—
313C7×Q8—41no—
314C7×D4—22no—
315C7×D4—22no—
316C7×D4—48no—
317C7×D4—41no—
318C7×D4—41no—
319C2×C4×C7—21no—
320C2×C4×C7—21no—
321C2×C4×C7—21no—
322C2×C4×C7—21no—
323C2×C4×C7—21no—
324C2×C4×C7—21no—
325C2×C4×C7—21no—
326C2×C4×C7—21no—
327C2×C4×C7—22no—
328C2×C4×C7—22no—
329C2×C4×C7—22no—
330C2×C4×C7—22no—
331C2×C4×C7—22no—
332C2×C4×C7—21no—
333C2×C4×C7—21no—
334C2×C4×C7—21no—
335C2×C4×C7—44no—
336C2×C4×C7—44no—
337C2×C4×C7—48no—
338C2×C4×C7—41no—
339C2×C4×C7—41no—
340C2×C4×C7—41no—
341C2×C4×C7—41no—
342C2×C4×C7—41no—
343C2×C4×C7—41no—
344C2×C4×C7—41no—
345C2×C4×C7—41no—
346C2×C4×C7C4×D412yes—
347C2×C4×C7#13512yes—
348C2×C4×C7#13512yes—
349C2×C4×C7#13712yes—
350C2×C4×C7C23×C411yescharacteristic
351C2×C4×C7C2×#4111yescharacteristic
352C2×C4×C7H(5,𝔽2)11yescharacteristic
353C2×C4×C7H(5,𝔽2)11yescharacteristic
354C2×C4×C7H(5,𝔽2)11yescharacteristic
355C2×C4×C7H(5,𝔽2)11yescharacteristic
356C2×Dic7—22no—
357C2×Dic7—22no—
358C2×Dic7—41no—
359C2×Dic7—41no—
360C2×Dic7—41no—
361C2×Dic7—41no—
362C2×Dic7—41no—
363C2×Dic7—41no—
364C2×Dic7—41no—
365C2×Dic7—41no—
366C2×Dic7—41no—
367C2×Dic7—41no—
368Dic14—22no—
369Dic14—22no—
370Dic14—41no—
371Dic14—41no—
372C7⋊C8—22no—
373C7⋊C8—22no—
374C7⋊C8—41no—
375C7⋊C8—41no—
376C2×#41—22no—
377C2×#41—41no—
378C2×#41—41no—
379C2×#41—41no—
380C2×#41—41no—
381C2×#41C4×D714yes—
382C22×Q8—71no—
383C22×Q8C22×D711yescharacteristic
384C22×D4—21no—
385C22×D4C22×D711yescharacteristic
386C23×C4—21no—
387C23×C4C22⋊D711yescharacteristic
388C23×C4C22⋊D711yescharacteristic
389C23×C4C22×D711yescharacteristic
390C2×Q16—74no—
391C2×Q16—281no—
392C2×Q16—281no—
393C2×SD16—74no—
394C2×SD16—281no—
395C2×SD16—281no—
396C22×C8—71no—
397C22×C8—71no—
398C22×C8—71no—
399C22×C8—71no—
400C22⋊Q8—74no—
401C22⋊Q8—142no—
402C4×Q8—281no—
403C4×Q8—281no—
404#117—41no—
405#117—41no—
406C2×C4⋊C4—71no—
407C2×C4⋊C4—71no—
408C2×C4⋊C4—71no—
409C2×C4⋊C4—141no—
410C2×C4⋊C4—141no—
411C2×C4⋊C4—141no—
412C2×C4⋊C4C22×D711yescharacteristic
413C2×C4⋊C4C22×D711yescharacteristic
414C2×C22⋊C4—21no—
415C2×C22⋊C4—21no—
416C2×C22⋊C4—21no—
417C2×C22⋊C4—21no—
418C2×C22⋊C4—21no—
419C2×C22⋊C4—141no—
420C2×C22⋊C4—141no—
421C2×C42—21no—
422C2×C42—41no—
423C2×C42—41no—
424C2×C42—141no—
425C2×C42—141no—
426C2×C42C22⋊D711yescharacteristic
427C2×C42C22⋊D711yescharacteristic
428C2×C42C22×D711yescharacteristic
429C2×C42C22×D711yescharacteristic
430#107—281no—
431#106—281no—
432#103—74no—
433#103—281no—
434#103—281no—
435#103—281no—
436#103—281no—
437#102—74no—
438#102—281no—
439#102—281no—
440C22⋊C8—74no—
441C22⋊C8—142no—
442C4×C8—281no—
443C4×C8—281no—
444#95—21no—
445#95—21no—
446#95—21no—
447#95—21no—
448#95—141no—
449#95—141no—
450#95—141no—
451#95—141no—
452#95—141no—
453C22×C7—22no—
454C22×C7—22no—
455C22×C7—22no—
456C22×C7—41no—
457C22×C7—41no—
458C22×C7—41no—
459C22×C7—41no—
460C22×C7—42no—
461C22×C7—42no—
462C22×C7—42no—
463C22×C7—81no—
464C22×C7—81no—
465C22×C7—81no—
466C22×C7—81no—
467C22×C7C2×C4×D411yescharacteristic
468C22×C7#53411yescharacteristic
469C22×C7#53511yescharacteristic
470C22×C7C2×#13511yescharacteristic
471C22×C7C2×#13511yescharacteristic
472C22×C7C2×#13711yescharacteristic
473C22×C7#57511yescharacteristic
474C4×C7—22no—
475C4×C7—22no—
476C4×C7—22no—
477C4×C7—22no—
478C4×C7—42no—
479C4×C7—41no—
480C4×C7—81no—
481C4×C7—81no—
482C4×C7#51811yescharacteristic
483C4×C7#51811yescharacteristic
484C4×C7#53811yescharacteristic
485C4×C7#53811yescharacteristic
486Dic7—42no—
487Dic7—42no—
488Dic7—81no—
489Dic7—81no—
490C24—21no—
491C24C2×C22⋊D711yescharacteristic
492#41—44no—
493#41—44no—
494#41—44no—
495#41—44no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—72no—
502C2×Q8—141no—
503C2×Q8—141no—
504C2×Q8—141no—
505C2×Q8—141no—
506C2×Q8—141no—
507C2×Q8C2×C4×D712yes—
508C2×D4—24no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—42no—
515C2×D4—42no—
516C2×D4C2×C4×D712yes—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—24no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—41no—
529C22×C4—41no—
530C22×C4—41no—
531C22×C4—42no—
532C22×C4—42no—
533C22×C4—141no—
534C22×C4—141no—
535C22×C4—141no—
536C22×C4—141no—
537C22×C4C2×C4×D712yes—
538C22×C4#115712yes—
539C22×C4C2×C22⋊D711yescharacteristic
540C22×C4C2×C22⋊D711yescharacteristic
541C22×C4C2×C22⋊D711yescharacteristic
542C22×C4C2×C22⋊D711yescharacteristic
543C22×C4C2×C22⋊D711yescharacteristic
544C22×C4C23×D711yescharacteristic
545Q16—284no—
546SD16—284no—
547C2×C8—72no—
548C2×C8—72no—
549C2×C8—141no—
550C2×C8—141no—
551C2×C8—141no—
552C2×C8—141no—
553C2×C8—141no—
554C2×C8—141no—
555C2×C8—141no—
556C2×C8—141no—
557C2×C8—141no—
558C2×C8—141no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—72no—
564C4⋊C4—144no—
565C4⋊C4—141no—
566C4⋊C4—141no—
567C4⋊C4—141no—
568C4⋊C4—141no—
569C4⋊C4—141no—
570C4⋊C4—282no—
571C4⋊C4—282no—
572C22⋊C4—42no—
573C22⋊C4—42no—
574C22⋊C4—42no—
575C22⋊C4—42no—
576C22⋊C4—42no—
577C22⋊C4—144no—
578C22⋊C4—282no—
579C42—21no—
580C42—21no—
581C42—21no—
582C42—21no—
583C42—41no—
584C42—41no—
585C42—42no—
586C42—282no—
587C42—282no—
588C2×C7—42no—
589C2×C7—82no—
590C2×C7#232111yescharacteristic
591C2×C7C4×#13511yescharacteristic
592C2×C7C4×#13711yescharacteristic
593C2×C7#319011yescharacteristic
594C2×C7#319111yescharacteristic
595C2×C7#321011yescharacteristic
596C2×C7#321211yescharacteristic
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—22no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23C4×C22⋊D712yes—
611C23C22×C22⋊D711yescharacteristic
612Q8—22no—
613Q8—22no—
614Q8—41no—
615Q8—41no—
616Q8—142no—
617Q8—142no—
618Q8—281no—
619Q8—281no—
620D4—22no—
621D4—22no—
622D4—48no—
623D4—41no—
624D4—41no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—44no—
642C2×C4—44no—
643C2×C4—48no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—142no—
653C2×C4—142no—
654C2×C4—281no—
655C2×C4—281no—
656C2×C4—281no—
657C2×C4—281no—
658C2×C4—281no—
659C2×C4—281no—
660C2×C4—281no—
661C2×C4—281no—
662C2×C4—281no—
663C2×C4—281no—
664C2×C4C4×C22⋊D712yes—
665C2×C4#651312yes—
666C2×C4#651312yes—
667C2×C4#651412yes—
668C2×C4C22×C4×D711yescharacteristic
669C2×C4C2×#115711yescharacteristic
670C2×C4#654811yescharacteristic
671C2×C4#654811yescharacteristic
672C2×C4#654811yescharacteristic
673C2×C4#654811yescharacteristic
674C8—142no—
675C8—142no—
676C8—281no—
677C8—281no—
678C7#2204211yescharacteristic, complemented, Sylow
679C22—22no—
680C22—22no—
681C22—22no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—42no—
687C22—42no—
688C22—42no—
689C22—81no—
690C22—81no—
691C22—81no—
692C22—81no—
693C22C2×C4×C22⋊D711yescharacteristic
694C22#9049511yescharacteristic
695C22#9049611yescharacteristic
696C22C2×#651311yescharacteristic
697C22C2×#651311yescharacteristic
698C22#9051311yescharacteristic
699C22C2×#651411yescharacteristic
700C4—22no—
701C4—22no—
702C4—22no—
703C4—22no—
704C4—42no—
705C4—41no—
706C4—81no—
707C4—81no—
708C4—282no—
709C4—282no—
710C4—561no—
711C4—561no—
712C4#9017711yescharacteristic
713C4#9017711yescharacteristic
714C4#9018511yescharacteristic
715C4#9018511yescharacteristic
716C2—42no—
717C2—82no—
718C2#1173954111yescharacteristic
719C2C4×#651311yescharacteristic
720C2C4×#651411yescharacteristic
721C2#1174037511yescharacteristic
722C2#1174037911yescharacteristic
723C2#1174075011yescharacteristic
724C2#1174076311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D7
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
FittingC7×#2297C2
socleC23×C7C22×D4
prime radicalC22×C7×#41C22
cosocleC22×C4×C7C24
hypercenter#2297D7
hypocenterC7#22042
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C22×C42 ◁ #2297

Complements

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

NH ≅ G/Ntype
3. C4×#6487C2semidirect
5. #11729339C2semidirect
6. #11729330C2semidirect
7. C4×C22⋊(C7⋊C8)C2semidirect
8. #11727444C2semidirect
9. #11727431C2semidirect
10. #11727428C2semidirect
11. #11727420C2semidirect
12. #11727414C2semidirect
13. #11727400C2semidirect
14. #11727398C2semidirect
15. #11727390C2semidirect
31. #90011C4semidirect
95. C2×#1144C2×C4semidirect
98. C2×#1142C2×C4semidirect
121. #6409C2×C4semidirect
124. #6406C2×C4semidirect
678. C7#22042semidirect

Maximal subgroups

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

subgroupindex
C7×#22972
C2×#900112
C4×#64872
#117298892
#117293392
#117293302
C4×C22⋊(C7⋊C8)2
#117274442
#117274312
#117274282
#117274202
#117274142
#117274002
#117273982
#117273902
#220427