Finite Group Databasebeta

← #13372008

Subgroups — #13372008

Order 1792.

1022 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4⋊C4×C22⋊D7C211yesmaximal, characteristic
2C2×#89736C211yesmaximal, characteristic, complemented
3C2×#89633C211yesmaximal, characteristic, complemented
4C2×#89501C211yesmaximal, characteristic
5#11731330C211yesmaximal, characteristic
6C7×#1853C211yesmaximal, characteristic, complemented
7#11728334C211yesmaximal, characteristic, complemented
8#11728317C211yesmaximal, characteristic, complemented
9#11728308C211yesmaximal, characteristic, complemented
10#11727683C211yesmaximal, characteristic, complemented
11#11727267C211yesmaximal, characteristic, complemented
12#11726629C211yesmaximal, characteristic, complemented
13#11726624C211yesmaximal, characteristic, complemented
14#11726549C211yesmaximal, characteristic, complemented
15#11726539C211yesmaximal, characteristic, complemented
16C22×C7×C4⋊C4C2211yescharacteristic
17C2×C4×C22⋊D7—21no—
18C2×C4×C22⋊D7C2211yescharacteristic
19C2×#6489C2211yescharacteristic
20C22×#1136C2211yescharacteristic
21C22×#1131C2211yescharacteristic
22C2×#6455C2211yescharacteristic
23C2×D7×C4⋊C4C2211yescharacteristic
24C2×C7×#106C2211yescharacteristic
25C2×C7×#106C2211yescharacteristic
26C2×C7×C22⋊C8C2211yescharacteristic
27C7×#380C2211yescharacteristic
28#89984C2211yescharacteristic
29#89982—21no—
30C2×(C2×D7)⋊C8C2211yescharacteristic
31C2×#6392C2211yescharacteristic
32C2×#6391C2211yescharacteristic
33C2×Dic7⋊C8C2211yescharacteristic
34C2×C8×Dic7C2211yescharacteristic
35#89761—21no—
36#89759C2211yescharacteristic
37#89759C2211yescharacteristic
38#89748C2211yescharacteristic
39#89748C2211yescharacteristic
40C4⋊C4×Dic7C2211yescharacteristic
41C4⋊C4×Dic7C2211yescharacteristic
42#89744—21no—
43#89736—24no—
44C2×#6382C2211yescharacteristic
45C2×#6382C2211yescharacteristic
46C2×#6382C2211yescharacteristic
47C2×#6381C2211yescharacteristic
48C2×#6381C2211yescharacteristic
49C2×#6381C2211yescharacteristic
50#89729—21no—
51#89717—21no—
52#89633—24no—
53#89501C418yescomplemented
54#89441—21no—
55#89421—21no—
56C7×#340C2211yescharacteristic
57C7×#340C2211yescharacteristic
58#89346C2211yescharacteristic
59#89346C2211yescharacteristic
60#89324C2211yescharacteristic
61#89324C2211yescharacteristic
62#22663—71nomaximal, Sylow
63C23×C4×C7—21no—
64C23×C4×C7C2311yescharacteristic
65C22×C22⋊D7D411yescharacteristic
66C22×C4×D7—21no—
67C22×C4×D7C2311yescharacteristic
68C22×C7×C8C2311yescharacteristic
69C22×C7×C8C2311yescharacteristic
70C2×C7×C4⋊C4—22no—
71C2×C7×C4⋊C4—21no—
72C2×C7×C4⋊C4—41no—
73C2×C7×C4⋊C4C2311yescharacteristic
74C2×C7×C4⋊C4C2311yescharacteristic
75C2×C7×C4⋊C4C2311yescharacteristic
76C2×C7×C4⋊C4C2311yescharacteristic
77C2×C7×C22⋊C4—21no—
78C2×C22⋊Dic7—21no—
79C2×C22⋊Dic7—21no—
80C2×C22⋊Dic7D411yescharacteristic
81C4×C22⋊D7—44no—
82C4×C22⋊D7C2×C414yes—
83C4×C22⋊D7Q814yes—
84C2×(C2×D7)⋊C4—21no—
85C2×(C2×D7)⋊C4—21no—
86C2×(C2×D7)⋊C4—21no—
87C2×(C2×D7)⋊C4D411yescharacteristic
88#6489—22no—
89#6489—41no—
90C2×C4⋊Dic7C2311yescharacteristic
91C2×C4⋊Dic7C2311yescharacteristic
92C2×C4⋊Dic7C2311yescharacteristic
93C2×C4⋊Dic7C2311yescharacteristic
94C2×Dic7⋊C4—21no—
95C2×Dic7⋊C4—21no—
96C2×Dic7⋊C4—21no—
97C2×Dic7⋊C4—21no—
98C2×Dic7⋊C4—21no—
99C2×Dic7⋊C4D411yescharacteristic
100C2×C4×Dic7—21no—
101C2×C4×Dic7—21no—
102C2×C4×Dic7—21no—
103C2×C4×Dic7—21no—
104C2×C4×Dic7C2311yescharacteristic
105C2×#1136—22no—
106C2×#1136—22no—
107C2×#1136C2×C414yescomplemented
108C22×C7⋊C8C2311yescharacteristic
109C22×C7⋊C8C2311yescharacteristic
110C2×#1131—22no—
111C2×#1131—22no—
112C2×#1131C2×C414yescomplemented
113#6455—22no—
114#6455—41no—
115D7×C4⋊C4—22no—
116D7×C4⋊C4—41no—
117C7×#106—22no—
118C7×#106—41no—
119C7×C22⋊C8C2×C414yescomplemented
120C7×#95—21no—
121C7⋊#95—21no—
122C7⋊#95—21no—
123C7⋊#95—21no—
124C7⋊#95—21no—
125C7⋊#95—21no—
126(C2×D7)⋊C8C2×C414yescomplemented
127#6392—22no—
128#6391—41no—
129Dic7⋊C8C2×C414yescomplemented
130C8×Dic7C2×C414yescomplemented
131#6382—22no—
132#6382—22no—
133#6382—22no—
134#6381—22no—
135#6381—22no—
136#6381D414yescomplemented
137C2×#436—71no—
138C2×#428—71no—
139C2×#428—71no—
140#2354—71no—
141D4×C4⋊C4—71no—
142#1948—71no—
143#1947—71no—
144#1854—71no—
145#1854—71no—
146#1853—71no—
147#1853D711yescharacteristic, complemented
148#1844—71no—
149#1809—71no—
150#1809—71no—
151C4×#107—71no—
152C24×C7C2×D411yescharacteristic
153C23×D7C2×D411yescharacteristic
154C22×C4×C7—21no—
155C22×C4×C7—21no—
156C22×C4×C7—21no—
157C22×C4×C7—21no—
158C22×C4×C7—21no—
159C22×C4×C7—21no—
160C22×C4×C7—21no—
161C22×C4×C7—21no—
162C22×C4×C7—42no—
163C22×C4×C7—42no—
164C22×C4×C7—81no—
165C22×C4×C7C22×C412yes—
166C22×C4×C7C2×D411yescharacteristic
167C22×C4×C7C2×Q812yes—
168C22×C4×C7C2411yescharacteristic
169C2×C22⋊D7—22no—
170C2×C22⋊D7—22no—
171C2×C22⋊D7C4⋊C414yes—
172C22×Dic7—21no—
173C22×Dic7—21no—
174C22×Dic7—21no—
175C22×Dic7—21no—
176C22×Dic7C2×D411yescharacteristic
177C22×Dic7C2×D411yescharacteristic
178C22×Dic7C2×D411yescharacteristic
179C2×C4×D7—21no—
180C2×C4×D7—21no—
181C2×C4×D7—21no—
182C2×C4×D7—21no—
183C2×C4×D7—42no—
184C2×C4×D7—42no—
185C2×C4×D7—81no—
186C2×C4×D7C22×C412yes—
187C2×C4×D7C2×Q812yes—
188C2×C7×C8—21no—
189C2×C7×C8—21no—
190C2×C7×C8—21no—
191C2×C7×C8—21no—
192C2×C7×C8C22×C412yes—
193C2×C7×C8C22×C412yes—
194C7×C4⋊C4—21no—
195C7×C4⋊C4—21no—
196C7×C4⋊C4—21no—
197C7×C4⋊C4—21no—
198C7×C4⋊C4—21no—
199C7×C4⋊C4—21no—
200C7×C4⋊C4—21no—
201C7×C4⋊C4—42no—
202C7×C4⋊C4C2×D412yes—
203C7×C22⋊C4—81no—
204C22⋊Dic7—42no—
205C22⋊Dic7—42no—
206C22⋊Dic7C4⋊C414yes—
207(C2×D7)⋊C4—42no—
208(C2×D7)⋊C4—42no—
209(C2×D7)⋊C4—81no—
210(C2×D7)⋊C4C4⋊C414yes—
211C4⋊Dic7—21no—
212C4⋊Dic7—21no—
213C4⋊Dic7—21no—
214C4⋊Dic7—21no—
215C4⋊Dic7—21no—
216C4⋊Dic7—21no—
217C4⋊Dic7—21no—
218C4⋊Dic7C2×D412yes—
219Dic7⋊C4—42no—
220Dic7⋊C4—42no—
221Dic7⋊C4—42no—
222Dic7⋊C4—81no—
223Dic7⋊C4—81no—
224Dic7⋊C4C4⋊C414yes—
225C4×Dic7—42no—
226C4×Dic7—42no—
227C4×Dic7—42no—
228C4×Dic7—42no—
229C4×Dic7C22×C412yes—
230C4×Dic7C2×Q812yes—
231#1136—28no—
232C2×C7⋊C8—21no—
233C2×C7⋊C8—21no—
234C2×C7⋊C8C22×C412yes—
235C2×C7⋊C8C22×C412yes—
236C2×C7⋊C8C2×D412yes—
237C2×C7⋊C8#4112yes—
238#1131—28no—
239C22×M16—71no—
240C22×M16—71no—
241C2×C4×D4—71no—
242C2×C4×D4—141no—
243C2×#117—71no—
244C2×#117—71no—
245C22×C4⋊C4—71no—
246C22×C4⋊C4C2×D711yescharacteristic
247#436—78no—
248#428—144no—
249#428—144no—
250C2×#107—71no—
251C2×#107—71no—
252C2×#107—71no—
253C2×#107—71no—
254C2×#106—71no—
255C2×#106—71no—
256C2×#106—71no—
257C2×#106—71no—
258C2×#106C2×D711yescharacteristic
259C2×#106C2×D711yescharacteristic
260C2×C4⋊C8—71no—
261C2×C22⋊C8—71no—
262C2×C22⋊C8C2×D711yescharacteristic
263C2×C4×C8—71no—
264#390—141no—
265#389—141no—
266#388—141no—
267#388—141no—
268#385—141no—
269#385—141no—
270#384—71no—
271#384—71no—
272#380—71no—
273#380—71no—
274#380—71no—
275#380C2×D711yescharacteristic
276C4×C4⋊C4—71no—
277C4×C4⋊C4—71no—
278C4×C4⋊C4—141no—
279#340—71no—
280#340—71no—
281#340—71no—
282#340—71no—
283#340C2×D711yescharacteristic
284#340C2×D711yescharacteristic
285C23×C7—21no—
286C23×C7—21no—
287C23×C7—21no—
288C23×C7—21no—
289C23×C7—21no—
290C23×C7—21no—
291C23×C7C2×C4⋊C412yes—
292C23×C7C22×D411yescharacteristic
293C22×D7—21no—
294C22×D7—21no—
295C22×D7—21no—
296C22×D7—21no—
297C22×D7—21no—
298C22×D7—21no—
299C22×D7C2×C4⋊C412yes—
300C2×C4×C7—21no—
301C2×C4×C7—21no—
302C2×C4×C7—22no—
303C2×C4×C7—22no—
304C2×C4×C7—22no—
305C2×C4×C7—22no—
306C2×C4×C7—22no—
307C2×C4×C7—41no—
308C2×C4×C7—41no—
309C2×C4×C7—41no—
310C2×C4×C7—41no—
311C2×C4×C7—41no—
312C2×C4×C7—41no—
313C2×C4×C7—41no—
314C2×C4×C7—41no—
315C2×C4×C7—41no—
316C2×C4×C7—41no—
317C2×C4×C7—41no—
318C2×C4×C7—84no—
319C2×C4×C7C2×C4⋊C412yes—
320C2×C4×C7C23×C411yescharacteristic
321C2×C4×C7C22×D411yescharacteristic
322C2×C4×C7C22×Q811yescharacteristic
323C2×C4×C7C2×#4111yescharacteristic
324C2×C4×C7H(5,𝔽2)11yescharacteristic
325C2×C4×C72−1+411yescharacteristic
326C22⋊D7—28no—
327C2×Dic7—21no—
328C2×Dic7—21no—
329C2×Dic7—21no—
330C2×Dic7—21no—
331C2×Dic7—22no—
332C2×Dic7—41no—
333C2×Dic7—41no—
334C2×Dic7—41no—
335C2×Dic7—41no—
336C2×Dic7—41no—
337C2×Dic7—41no—
338C2×Dic7—41no—
339C2×Dic7—41no—
340C2×Dic7—41no—
341C2×Dic7—41no—
342C2×Dic7—41no—
343C2×Dic7C2×C4⋊C412yes—
344C2×Dic7C2×C4⋊C412yes—
345C2×Dic7C2×C4⋊C412yes—
346C2×Dic7AGL(1,ℤ/8)12yes—
347C2×Dic7#13712yes—
348C4×D7—22no—
349C4×D7—22no—
350C4×D7—22no—
351C4×D7—22no—
352C4×D7—84no—
353C7×C8—22no—
354C7×C8—22no—
355C7⋊C8—22no—
356C7⋊C8C4×D414yescomplemented
357C22×D4—71no—
358C23×C4—21no—
359C23×C4—71no—
360C23×C4—141no—
361C23×C4C22×D711yescharacteristic
362C2×M16—74no—
363C2×M16—74no—
364C2×M16—142no—
365C2×M16—142no—
366C2×M16—142no—
367C2×M16—142no—
368C22×C8—71no—
369C22×C8—71no—
370C22×C8C22×D711yescharacteristic
371C22×C8C22×D711yescharacteristic
372C4×D4—74no—
373C4×D4—74no—
374C4×D4—284no—
375#117—142no—
376#117—142no—
377#117—281no—
378#117—281no—
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—71no—
387C2×C4⋊C4—142no—
388C2×C4⋊C4—141no—
389C2×C4⋊C4—141no—
390C2×C4⋊C4—141no—
391C2×C4⋊C4—141no—
392C2×C4⋊C4—141no—
393C2×C4⋊C4—281no—
394C2×C4⋊C4C22×D711yescharacteristic
395C2×C4⋊C4C22×D711yescharacteristic
396C2×C4⋊C4C22×D711yescharacteristic
397C2×C4⋊C4C22×D711yescharacteristic
398C2×C22⋊C4—21no—
399C2×C22⋊C4—71no—
400C2×C22⋊C4—71no—
401C2×C22⋊C4—141no—
402C2×C22⋊C4—141no—
403C2×C22⋊C4—141no—
404C2×C22⋊C4—141no—
405C2×C22⋊C4—141no—
406C2×C42—71no—
407C2×C42—141no—
408C2×C42—141no—
409C2×C42—141no—
410C2×C42—141no—
411#107—74no—
412#107—142no—
413#107—142no—
414#107—142no—
415#106—22no—
416#106—41no—
417#106—142no—
418#106—142no—
419#106—142no—
420#106—281no—
421C4⋊C8—74no—
422C22⋊C8—74no—
423C22⋊C8C4×D714yescomplemented
424C4×C8—74no—
425#95—21no—
426#95—141no—
427#95—141no—
428#95—141no—
429#95—141no—
430#95—141no—
431C22×C7—22no—
432C22×C7—22no—
433C22×C7—22no—
434C22×C7—41no—
435C22×C7—41no—
436C22×C7—41no—
437C22×C7—41no—
438C22×C7C22×C4⋊C411yescharacteristic
439C22×C7D4211yescharacteristic
440C22×C7#54711yescharacteristic
441C22×C7C2×AGL(1,ℤ/8)11yescharacteristic
442C22×C7C2×#13711yescharacteristic
443C22×C7#57711yescharacteristic
444C22×C7#57711yescharacteristic
445C2×D7—22no—
446C2×D7—22no—
447C2×D7—22no—
448C2×D7—41no—
449C2×D7—41no—
450C2×D7—41no—
451C2×D7—41no—
452C4×C7—22no—
453C4×C7—42no—
454C4×C7—81no—
455C4×C7—81no—
456C4×C7—81no—
457C4×C7C2×C4×D411yescharacteristic
458C4×C7#52011yescharacteristic
459C4×C7D4×Q811yescharacteristic
460C4×C7#55411yescharacteristic
461Dic7—22no—
462Dic7—22no—
463Dic7—42no—
464Dic7—81no—
465Dic7—81no—
466Dic7—81no—
467Dic7#42814yescomplemented
468C24—71no—
469C24D4×D711yescharacteristic
470C2×D4—74no—
471C2×D4—142no—
472C2×D4—142no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—71no—
484C22×C4—71no—
485C22×C4—71no—
486C22×C4—72no—
487C22×C4—72no—
488C22×C4—81no—
489C22×C4—141no—
490C22×C4—141no—
491C22×C4—141no—
492C22×C4—141no—
493C22×C4—141no—
494C22×C4—141no—
495C22×C4—141no—
496C22×C4—141no—
497C22×C4—282no—
498C22×C4—282no—
499C22×C4—561no—
500C22×C4C2×C4×D712yes—
501C22×C4D4×D711yescharacteristic
502C22×C4Q8×D712yes—
503C22×C4C23×D711yescharacteristic
504M16—148no—
505M16—148no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—72no—
511C2×C8—72no—
512C2×C8—72no—
513C2×C8—72no—
514C2×C8—141no—
515C2×C8—141no—
516C2×C8C2×C4×D712yes—
517C2×C8C2×C4×D712yes—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—42no—
526C4⋊C4—74no—
527C4⋊C4—72no—
528C4⋊C4—141no—
529C4⋊C4—141no—
530C4⋊C4—141no—
531C4⋊C4—141no—
532C4⋊C4—141no—
533C4⋊C4—141no—
534C4⋊C4—141no—
535C4⋊C4—282no—
536C4⋊C4—282no—
537C4⋊C4—282no—
538C4⋊C4—561no—
539C4⋊C4—561no—
540C4⋊C4D4×D712yes—
541C22⋊C4—74no—
542C22⋊C4—74no—
543C22⋊C4—81no—
544C22⋊C4—282no—
545C22⋊C4—282no—
546C22⋊C4—282no—
547C22⋊C4—282no—
548C22⋊C4—561no—
549C42—72no—
550C42—72no—
551C42—282no—
552C42—282no—
553C42—282no—
554C42—282no—
555C2×C7—42no—
556C2×C7D4×C4⋊C411yescharacteristic
557C2×C7C2×#42811yescharacteristic
558C2×C7#291211yescharacteristic
559C2×C7#327211yescharacteristic
560C2×C7#327811yescharacteristic
561C2×C7#335411yescharacteristic
562C2×C7#335611yescharacteristic
563D7—42no—
564C23—21no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—72no—
571C23—141no—
572C23—141no—
573C23—141no—
574C23—141no—
575C23—141no—
576C23—141no—
577C23D7×C4⋊C412yes—
578C23C2×D4×D711yescharacteristic
579D4—148no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—72no—
599C2×C4—72no—
600C2×C4—72no—
601C2×C4—72no—
602C2×C4—72no—
603C2×C4—84no—
604C2×C4—141no—
605C2×C4—141no—
606C2×C4—141no—
607C2×C4—141no—
608C2×C4—142no—
609C2×C4—142no—
610C2×C4—142no—
611C2×C4—142no—
612C2×C4—142no—
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—281no—
623C2×C4—281no—
624C2×C4—564no—
625C2×C4D7×C4⋊C412yes—
626C2×C4C22×C4×D711yescharacteristic
627C2×C4C2×D4×D711yescharacteristic
628C2×C4#654811yescharacteristic
629C2×C4C2×Q8×D711yescharacteristic
630C2×C4D7×#4111yescharacteristic
631C2×C4#655411yescharacteristic
632C8—22no—
633C8—22no—
634C8—74no—
635C8—142no—
636C7#2266311yescharacteristic, complemented, Sylow
637C22—22no—
638C22—22no—
639C22—22no—
640C22—41no—
641C22—41no—
642C22—41no—
643C22—41no—
644C22—142no—
645C22—142no—
646C22—142no—
647C22—281no—
648C22—281no—
649C22—281no—
650C22—281no—
651C22C2×D7×C4⋊C411yescharacteristic
652C22#9028111yescharacteristic
653C22#9034611yescharacteristic
654C22#9045311yescharacteristic
655C22#9045311yescharacteristic
656C22D7×AGL(1,ℤ/8)11yescharacteristic
657C22D7×#13711yescharacteristic
658C4—22no—
659C4—42no—
660C4—74no—
661C4—81no—
662C4—81no—
663C4—81no—
664C4—142no—
665C4—142no—
666C4—282no—
667C4—561no—
668C4—561no—
669C4—561no—
670C4C4×D4×D711yescharacteristic
671C4#9023711yescharacteristic
672C4#9032311yescharacteristic
673C4#9032711yescharacteristic
674C2—42no—
675C2—282no—
676C2#1173183811yescharacteristic
677C2#1173656111yescharacteristic
678C2D7×#42811yescharacteristic
679C2#1173751111yescharacteristic
680C2#1173761211yescharacteristic
681C2#1173878311yescharacteristic
682C2#1173888611yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
FittingC7×#1853C2
socleC23×C7C22×D4
prime radicalC22×C22⋊D7D4
cosocleC22×C4×C7C24
hypercenter#1853D7
hypocenterC7#22663
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1853

Complements

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

NH ≅ G/Ntype
2. C2×#89736C2semidirect
3. C2×#89633C2semidirect
6. C7×#1853C2semidirect
7. #11728334C2semidirect
8. #11728317C2semidirect
9. #11728308C2semidirect
10. #11727683C2semidirect
11. #11727267C2semidirect
12. #11726629C2semidirect
13. #11726624C2semidirect
14. #11726549C2semidirect
15. #11726539C2semidirect
53. #89501C4semidirect
107. C2×#1136C2×C4semidirect
112. C2×#1131C2×C4semidirect
119. C7×C22⋊C8C2×C4semidirect
126. (C2×D7)⋊C8C2×C4semidirect
129. Dic7⋊C8C2×C4semidirect
130. C8×Dic7C2×C4semidirect
136. #6381D4semidirect
147. #1853D7semidirect
356. C7⋊C8C4×D4semidirect
423. C22⋊C8C4×D7semidirect
467. Dic7#428semidirect
636. C7#22663semidirect

Maximal subgroups

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

subgroupindex
C4⋊C4×C22⋊D72
C2×#897362
C2×#896332
C2×#895012
#117313302
C7×#18532
#117283342
#117283172
#117283082
#117276832
#117272672
#117266292
#117266242
#117265492
#117265392
#226637