Finite Group Databasebeta

← #13370071

Subgroups — #13370071

Order 1792.

1142 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90332C211yesmaximal, characteristic
2#11739686C211yesmaximal, characteristic
3C2×(C22⋊D7)⋊C8C211yesmaximal, characteristic
4C7×#1873C211yesmaximal, characteristic, complemented
5#11729450C211yesmaximal, characteristic, complemented
6#11729334C211yesmaximal, characteristic, complemented
7#11728024C211yesmaximal, characteristic, complemented
8#11728023C211yesmaximal, characteristic, complemented
9#11727975C211yesmaximal, characteristic, complemented
10Dic7×#103C211yesmaximal, characteristic, complemented
11#11727680C211yesmaximal, characteristic, complemented
12#11726627C211yesmaximal, characteristic, complemented
13#11726620C211yesmaximal, characteristic, complemented
14#11726557C211yesmaximal, characteristic, complemented
15#11726554C211yesmaximal, characteristic, complemented
16C2×C7×C22⋊Q8C2211yescharacteristic
17C2×C7×#117C2211yescharacteristic
18C2×#6509C2211yescharacteristic
19C2×Q8×Dic7C2211yescharacteristic
20C2×C4×C22⋊D7C2211yescharacteristic
21C2×#6489C2211yescharacteristic
22C23×C7⋊C8C2211yescharacteristic
23C22×C8×D7C2211yescharacteristic
24#90332—24no—
25#90332C418yescomplemented
26C2×#6461—21no—
27C2×#6455C2211yescharacteristic
28C2×#6455C2211yescharacteristic
29C2×#6451C2211yescharacteristic
30C2×#6450—21no—
31C2×#6448—21no—
32C2×#6442—21no—
33C2×C7×#103C2211yescharacteristic
34C2×C7×#103C2211yescharacteristic
35C2×C7×C22⋊C8C2211yescharacteristic
36C2×#6409C2211yescharacteristic
37C2×#6409C2211yescharacteristic
38#89984C2211yescharacteristic
39C2×(C2×D7)⋊C8C2211yescharacteristic
40C2×Dic7⋊C8C2211yescharacteristic
41C2×C8×Dic7C2211yescharacteristic
42#89759C2211yescharacteristic
43#89748C2211yescharacteristic
44C4⋊C4×Dic7C2211yescharacteristic
45#89729—21no—
46#89716—21no—
47#89712—21no—
48C4×Dic7⋊C4—21no—
49(C22⋊D7)⋊C8—24no—
50C7×#340C2211yescharacteristic
51C7×#340C2211yescharacteristic
52#89346C2211yescharacteristic
53#89346C2211yescharacteristic
54#89346C2211yescharacteristic
55#89346C2211yescharacteristic
56#89324C2211yescharacteristic
57#89324C2211yescharacteristic
58#89324C2211yescharacteristic
59#89324C2211yescharacteristic
60#89324C2211yescharacteristic
61#89324C2211yescharacteristic
62#22490—71nomaximal, Sylow
63C22×C7×Q8C2311yescharacteristic
64C23×C4×C7C2311yescharacteristic
65C22×C22⋊D7D411yescharacteristic
66C22×C4×D7C2311yescharacteristic
67C22×Dic14—21no—
68C22×C7×C8C2311yescharacteristic
69C22×C7×C8C2311yescharacteristic
70C7×C22⋊Q8—22no—
71C7×C22⋊Q8C2×C414yes—
72C7×#117—22no—
73C7×#117—41no—
74C2×C7×C4⋊C4—21no—
75C2×C7×C4⋊C4C2311yescharacteristic
76C2×C7×C4⋊C4C2311yescharacteristic
77C2×C7×C4⋊C4C2311yescharacteristic
78C2×C7×C22⋊C4—21no—
79C2×C7×C22⋊C4—21no—
80C2×C42×C7—21no—
81C2×C22⋊Dic7—21no—
82C2×C22⋊Dic7—21no—
83C2×C22⋊Dic7D411yescharacteristic
84#6509—22no—
85#6509C2×C414yes—
86Q8×Dic7—22no—
87Q8×Dic7C2×C414yes—
88C4×C22⋊D7C2×C414yes—
89C4×C22⋊D7D414yes—
90C2×(C2×D7)⋊C4—21no—
91C2×(C2×D7)⋊C4—21no—
92C2×(C2×D7)⋊C4—21no—
93C2×(C2×D7)⋊C4—21no—
94C2×(C2×D7)⋊C4D411yescharacteristic
95#6489—22no—
96#6489C2×C414yes—
97C2×C4⋊Dic7—21no—
98C2×C4⋊Dic7C2311yescharacteristic
99C2×C4⋊Dic7C2311yescharacteristic
100C2×C4⋊Dic7C2311yescharacteristic
101C2×C4⋊Dic7C2311yescharacteristic
102C2×Dic7⋊C4—21no—
103C2×Dic7⋊C4—21no—
104C2×Dic7⋊C4—21no—
105C2×Dic7⋊C4—21no—
106C2×Dic7⋊C4D411yescharacteristic
107C2×C4×Dic7—21no—
108C2×C4×Dic7—21no—
109C2×C4×Dic7—21no—
110C2×C4×Dic7—21no—
111C2×C4×Dic7—21no—
112C2×C4×Dic7C2311yescharacteristic
113C22×C7⋊C8—22no—
114C22×C7⋊C8—22no—
115C22×C7⋊C8—41no—
116C22×C7⋊C8C2311yescharacteristic
117C22×C7⋊C8C2311yescharacteristic
118C2×C8×D7—22no—
119C2×C8×D7—22no—
120C2×C8×D7—41no—
121#6461—28no—
122#6455—22no—
123#6455—22no—
124#6455—41no—
125#6455C2×C414yes—
126#6451—22no—
127#6451C2×C414yes—
128#6450—28no—
129#6448—28no—
130#6442—28no—
131C7×#103—22no—
132C7×#103—41no—
133C7×C22⋊C8—22no—
134#6409—22no—
135#6409—41no—
136C7⋊#95—21no—
137C7⋊#95—21no—
138C7⋊#95—21no—
139(C2×D7)⋊C8—22no—
140Dic7⋊C8—22no—
141C8×Dic7—22no—
142C2×#556—71no—
143C2×C8×D4—71no—
144#2354—71no—
145#1990—71no—
146#1988—71no—
147#1892—71no—
148#1892—71no—
149#1873—71no—
150#1873D711yescharacteristic, complemented
151#1825—71no—
152#1825—71no—
153#1803—71no—
154C4×#103—71no—
155#1735—71no—
156#1735—71no—
157C24×C7C2×D411yescharacteristic
158C23×D7C2×D411yescharacteristic
159C2×C7×Q8—21no—
160C2×C7×Q8—21no—
161C2×C7×Q8—21no—
162C2×C7×Q8—21no—
163C2×C7×Q8—21no—
164C2×C7×Q8C22×C412yes—
165C22×C4×C7—21no—
166C22×C4×C7—21no—
167C22×C4×C7—21no—
168C22×C4×C7—21no—
169C22×C4×C7—21no—
170C22×C4×C7—21no—
171C22×C4×C7—21no—
172C22×C4×C7—21no—
173C22×C4×C7C22×C412yes—
174C22×C4×C7C2×D411yescharacteristic
175C22×C4×C7C2×D412yes—
176C22×C4×C7C2411yescharacteristic
177C2×C22⋊D7—22no—
178C2×C22⋊D7—22no—
179C2×C22⋊D7C22⋊C414yes—
180C22×Dic7—21no—
181C22×Dic7—21no—
182C22×Dic7—21no—
183C22×Dic7—21no—
184C22×Dic7C2×D411yescharacteristic
185C22×Dic7C2×D411yescharacteristic
186C22×Dic7C2×D411yescharacteristic
187C2×C4×D7—21no—
188C2×C4×D7—21no—
189C2×C4×D7—21no—
190C2×C4×D7—21no—
191C2×C4×D7C22×C412yes—
192C2×C4×D7C2×D412yes—
193C2×Dic14—24no—
194C2×Dic14—42no—
195C2×Dic14—42no—
196C2×C7×C8—21no—
197C2×C7×C8—21no—
198C2×C7×C8—21no—
199C2×C7×C8—21no—
200C2×C7×C8—21no—
201C2×C7×C8—21no—
202C7×C4⋊C4—24no—
203C7×C4⋊C4—21no—
204C7×C4⋊C4—21no—
205C7×C4⋊C4—21no—
206C7×C4⋊C4—21no—
207C7×C4⋊C4C22×C412yes—
208C7×C4⋊C4#4112yes—
209C7×C22⋊C4—24no—
210C7×C22⋊C4—42no—
211C42×C7—42no—
212C22⋊Dic7—24no—
213C22⋊Dic7—81no—
214C22⋊Dic7C22⋊C414yes—
215(C2×D7)⋊C4—24no—
216(C2×D7)⋊C4—24no—
217(C2×D7)⋊C4—42no—
218(C2×D7)⋊C4—81no—
219(C2×D7)⋊C4C22⋊C414yes—
220C4⋊Dic7—21no—
221C4⋊Dic7—21no—
222C4⋊Dic7—24no—
223C4⋊Dic7—21no—
224C4⋊Dic7—21no—
225C4⋊Dic7—21no—
226C4⋊Dic7—21no—
227C4⋊Dic7C22×C412yes—
228C4⋊Dic7C22×C412yes—
229Dic7⋊C4—24no—
230Dic7⋊C4—24no—
231Dic7⋊C4—42no—
232Dic7⋊C4—81no—
233Dic7⋊C4C22⋊C414yes—
234C4×Dic7—24no—
235C4×Dic7—24no—
236C4×Dic7—24no—
237C4×Dic7—42no—
238C4×Dic7—42no—
239C4×Dic7C22×C412yes—
240C4×Dic7C2×D412yes—
241C2×C7⋊C8—21no—
242C2×C7⋊C8—21no—
243C2×C7⋊C8—21no—
244C2×C7⋊C8—21no—
245C2×C7⋊C8—21no—
246C2×C7⋊C8—44no—
247C2×C7⋊C8#4112yes—
248C8×D7—44no—
249C23×C8—71no—
250C23×C8—71no—
251#556—78no—
252#556—144no—
253C2×C4⋊Q8—71no—
254C2×#126—141no—
255C2×#126—141no—
256C2×#124—141no—
257C2×C22⋊Q8—71no—
258C2×C22⋊Q8C2×D711yescharacteristic
259C2×C4×Q8—71no—
260C2×C4×Q8—141no—
261C2×C4×D4—71no—
262C2×#117—71no—
263C2×#117—71no—
264C2×#117—71no—
265C2×#117C2×D711yescharacteristic
266C8×D4—144no—
267C2×C4⋊C8—71no—
268C2×#103—71no—
269C2×#103—71no—
270C2×#103C2×D711yescharacteristic
271C2×#103C2×D711yescharacteristic
272C2×C22⋊C8—71no—
273C2×C22⋊C8C2×D711yescharacteristic
274C2×C4×C8—71no—
275#390—141no—
276#388—141no—
277#388—141no—
278#384—71no—
279#380—71no—
280#380—71no—
281C4×C4⋊C4—71no—
282C4×C4⋊C4—141no—
283#340—71no—
284#340—71no—
285#340—71no—
286#340—71no—
287#340—71no—
288#340—71no—
289#340—71no—
290#340—71no—
291#340—71no—
292#340—71no—
293#340C2×D711yescharacteristic
294#340C2×D711yescharacteristic
295C23×C7—21no—
296C23×C7—21no—
297C23×C7—21no—
298C23×C7—21no—
299C23×C7—21no—
300C23×C7—21no—
301C23×C7C2×C22⋊C412yes—
302C23×C7C22×D411yescharacteristic
303C22×D7—21no—
304C22×D7—21no—
305C22×D7—21no—
306C22×D7—21no—
307C22×D7—21no—
308C22×D7—21no—
309C22×D7C2×C22⋊C412yes—
310C7×Q8—22no—
311C7×Q8—22no—
312C7×Q8—41no—
313C7×Q8—41no—
314C2×C4×C7—21no—
315C2×C4×C7—21no—
316C2×C4×C7—22no—
317C2×C4×C7—22no—
318C2×C4×C7—22no—
319C2×C4×C7—22no—
320C2×C4×C7—22no—
321C2×C4×C7—22no—
322C2×C4×C7—22no—
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—41no—
330C2×C4×C7—41no—
331C2×C4×C7—41no—
332C2×C4×C7C2×C22⋊C412yes—
333C2×C4×C7C23×C411yescharacteristic
334C2×C4×C7C22×D411yescharacteristic
335C2×C4×C7C2×#4111yescharacteristic
336C2×C4×C7C2×#4111yescharacteristic
337C2×C4×C7H(5,𝔽2)11yescharacteristic
338C2×C4×C72−1+411yescharacteristic
339C22⋊D7—28no—
340C2×Dic7—21no—
341C2×Dic7—21no—
342C2×Dic7—21no—
343C2×Dic7—21no—
344C2×Dic7—22no—
345C2×Dic7—22no—
346C2×Dic7—41no—
347C2×Dic7—41no—
348C2×Dic7—41no—
349C2×Dic7—41no—
350C2×Dic7—41no—
351C2×Dic7—41no—
352C2×Dic7—41no—
353C2×Dic7—41no—
354C2×Dic7—41no—
355C2×Dic7—41no—
356C2×Dic7C2×C22⋊C412yes—
357C2×Dic7C2×C22⋊C412yes—
358C2×Dic7C2×C22⋊C412yes—
359C2×Dic7#13512yes—
360C2×Dic7#13512yes—
361C4×D7—22no—
362C4×D7—22no—
363C4×D7—22no—
364C4×D7—22no—
365Dic14—48no—
366C7×C8—41no—
367C7×C8—41no—
368C7⋊C8—22no—
369C7⋊C8—41no—
370C22×Q8—141no—
371C22×Q8C22×D711yescharacteristic
372C22×D4—71no—
373C23×C4—71no—
374C23×C4C22×D711yescharacteristic
375C22×C8—71no—
376C22×C8—71no—
377C22×C8—142no—
378C22×C8—142no—
379C22×C8—142no—
380C22×C8—142no—
381C22×C8—281no—
382C22×C8—281no—
383C22×C8C22×D711yescharacteristic
384C22×C8C22×D711yescharacteristic
385C4⋊Q8—74no—
386C4⋊Q8—142no—
387#126—148no—
388#126—148no—
389#124—148no—
390C22⋊Q8—22no—
391C22⋊Q8—74no—
392C22⋊Q8—142no—
393C22⋊Q8C4×D714yes—
394C4×Q8—74no—
395C4×Q8—142no—
396C4×Q8—148no—
397C4×D4—74no—
398C4×D4—74no—
399#117—22no—
400#117—41no—
401#117—74no—
402#117—74no—
403#117—142no—
404#117—142no—
405#117—142no—
406#117—281no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—71no—
409C2×C4⋊C4—71no—
410C2×C4⋊C4—71no—
411C2×C4⋊C4—71no—
412C2×C4⋊C4—71no—
413C2×C4⋊C4—141no—
414C2×C4⋊C4—141no—
415C2×C4⋊C4—141no—
416C2×C4⋊C4—141no—
417C2×C4⋊C4—141no—
418C2×C4⋊C4C22×D711yescharacteristic
419C2×C4⋊C4C22×D711yescharacteristic
420C2×C4⋊C4C22×D711yescharacteristic
421C2×C22⋊C4—21no—
422C2×C22⋊C4—21no—
423C2×C22⋊C4—71no—
424C2×C22⋊C4—71no—
425C2×C22⋊C4—141no—
426C2×C22⋊C4—141no—
427C2×C22⋊C4—141no—
428C2×C22⋊C4—141no—
429C2×C22⋊C4—141no—
430C2×C22⋊C4—141no—
431C2×C42—21no—
432C2×C42—71no—
433C2×C42—141no—
434C2×C42—141no—
435C2×C42—141no—
436C2×C42—141no—
437C2×C42—141no—
438C4⋊C8—142no—
439#103—22no—
440#103—41no—
441#103—142no—
442#103—281no—
443C22⋊C8—22no—
444C22⋊C8—142no—
445C4×C8—142no—
446#95—141no—
447#95—141no—
448#95—141no—
449C22×C7—22no—
450C22×C7—22no—
451C22×C7—22no—
452C22×C7—41no—
453C22×C7—41no—
454C22×C7—41no—
455C22×C7—41no—
456C22×C7C22×C22⋊C411yescharacteristic
457C22×C7#54611yescharacteristic
458C22×C7#54711yescharacteristic
459C22×C7C2×#13511yescharacteristic
460C22×C7C2×#13511yescharacteristic
461C22×C7#57711yescharacteristic
462C22×C7#57811yescharacteristic
463C2×D7—22no—
464C2×D7—22no—
465C2×D7—22no—
466C2×D7—41no—
467C2×D7—41no—
468C2×D7—41no—
469C2×D7—41no—
470C4×C7—22no—
471C4×C7—42no—
472C4×C7—42no—
473C4×C7—42no—
474C4×C7—81no—
475C4×C7C4×#4111yescharacteristic
476C4×C7#52011yescharacteristic
477C4×C7#54611yescharacteristic
478C4×C7#54711yescharacteristic
479Dic7—22no—
480Dic7—22no—
481Dic7—42no—
482Dic7—42no—
483Dic7—81no—
484Dic7—81no—
485Dic7#41614yes—
486C24—71no—
487C24D4×D711yescharacteristic
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8—144no—
494C2×Q8—282no—
495C2×Q8—282no—
496C2×Q8C2×C4×D712yes—
497C2×D4—74no—
498C2×D4—142no—
499C2×D4—142no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—71no—
509C22×C4—71no—
510C22×C4—71no—
511C22×C4—72no—
512C22×C4—72no—
513C22×C4—141no—
514C22×C4—141no—
515C22×C4—141no—
516C22×C4—141no—
517C22×C4—141no—
518C22×C4—141no—
519C22×C4—141no—
520C22×C4—141no—
521C22×C4C2×C4×D712yes—
522C22×C4D4×D711yescharacteristic
523C22×C4D4×D712yes—
524C22×C4C23×D711yescharacteristic
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—72no—
532C2×C8—141no—
533C2×C8—141no—
534C2×C8—141no—
535C2×C8—141no—
536C2×C8—141no—
537C2×C8—284no—
538C2×C8—284no—
539C4⋊C4—24no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—74no—
545C4⋊C4—72no—
546C4⋊C4—72no—
547C4⋊C4—144no—
548C4⋊C4—144no—
549C4⋊C4—144no—
550C4⋊C4—141no—
551C4⋊C4—141no—
552C4⋊C4—141no—
553C4⋊C4—141no—
554C4⋊C4—141no—
555C4⋊C4—141no—
556C4⋊C4—282no—
557C4⋊C4—561no—
558C4⋊C4C2×C4×D712yes—
559C4⋊C4#115912yes—
560C22⋊C4—24no—
561C22⋊C4—42no—
562C22⋊C4—74no—
563C22⋊C4—74no—
564C22⋊C4—144no—
565C22⋊C4—144no—
566C22⋊C4—144no—
567C22⋊C4—282no—
568C22⋊C4—561no—
569C22⋊C4—561no—
570C42—42no—
571C42—72no—
572C42—72no—
573C42—144no—
574C42—144no—
575C42—144no—
576C42—282no—
577C42—282no—
578C2×C7—42no—
579C2×C7#233911yescharacteristic
580C2×C7C2×#41611yescharacteristic
581C2×C7#289811yescharacteristic
582C2×C7#330211yescharacteristic
583C2×C7#330411yescharacteristic
584C2×C7#334011yescharacteristic
585C2×C7#334211yescharacteristic
586D7—42no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—72no—
594C23—141no—
595C23—141no—
596C23—141no—
597C23—141no—
598C23—141no—
599C23—141no—
600C23D7×C22⋊C412yes—
601C23C2×D4×D711yescharacteristic
602Q8—22no—
603Q8—22no—
604Q8—41no—
605Q8—41no—
606Q8—288no—
607D4—148no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—72no—
627C2×C4—72no—
628C2×C4—72no—
629C2×C4—72no—
630C2×C4—72no—
631C2×C4—141no—
632C2×C4—141no—
633C2×C4—141no—
634C2×C4—141no—
635C2×C4—142no—
636C2×C4—142no—
637C2×C4—142no—
638C2×C4—142no—
639C2×C4—142no—
640C2×C4—142no—
641C2×C4—281no—
642C2×C4—281no—
643C2×C4—281no—
644C2×C4—281no—
645C2×C4—281no—
646C2×C4—281no—
647C2×C4—281no—
648C2×C4—281no—
649C2×C4—281no—
650C2×C4—281no—
651C2×C4D7×C22⋊C412yes—
652C2×C4C22×C4×D711yescharacteristic
653C2×C4C2×D4×D711yescharacteristic
654C2×C4C2×#115911yescharacteristic
655C2×C4#654811yescharacteristic
656C2×C4D7×#4111yescharacteristic
657C2×C4#655411yescharacteristic
658C8—41no—
659C8—41no—
660C8—142no—
661C8—281no—
662C7#2249011yescharacteristic, complemented, Sylow
663C22—22no—
664C22—22no—
665C22—22no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—142no—
671C22—142no—
672C22—142no—
673C22—281no—
674C22—281no—
675C22—281no—
676C22—281no—
677C22C2×D7×C22⋊C411yescharacteristic
678C22#9028211yescharacteristic
679C22#9034611yescharacteristic
680C22D7×#13511yescharacteristic
681C22D7×#13511yescharacteristic
682C22#9046911yescharacteristic
683C22#9047011yescharacteristic
684C4—22no—
685C4—42no—
686C4—42no—
687C4—42no—
688C4—74no—
689C4—81no—
690C4—142no—
691C4—142no—
692C4—282no—
693C4—282no—
694C4—561no—
695C4—561no—
696C4C4×#115911yescharacteristic
697C4#9023711yescharacteristic
698C4#9030111yescharacteristic
699C4#9030211yescharacteristic
700C2—42no—
701C2—282no—
702C2#1173211711yescharacteristic
703C2D7×#41611yescharacteristic
704C2#1173640211yescharacteristic
705C2#1173769311yescharacteristic
706C2#1173769411yescharacteristic
707C2#1173897711yescharacteristic
708C2#1173897811yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
FittingC7×#1873C2
socleC23×C7C22×D4
prime radicalC22×C22⋊D7D4
cosocleC22×C4×C7C24
hypercenter#1873D7
hypocenterC7#22490
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1873

Complements

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

NH ≅ G/Ntype
4. C7×#1873C2semidirect
5. #11729450C2semidirect
6. #11729334C2semidirect
7. #11728024C2semidirect
8. #11728023C2semidirect
9. #11727975C2semidirect
10. Dic7×#103C2semidirect
11. #11727680C2semidirect
12. #11726627C2semidirect
13. #11726620C2semidirect
14. #11726557C2semidirect
15. #11726554C2semidirect
25. #90332C4semidirect
150. #1873D7semidirect
662. C7#22490semidirect

Maximal subgroups

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

subgroupindex
C2×#903322
#117396862
C2×(C22⋊D7)⋊C82
C7×#18732
#117294502
#117293342
#117280242
#117280232
#117279752
Dic7×#1032
#117276802
#117266272
#117266202
#117265572
#117265542
#224907