Finite Group Databasebeta

← #13370279

Subgroups — #13370279

Order 1792.

1262 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
1#11742832C211yesmaximal, characteristic
2C42×C7×D4C211yesmaximal, characteristic, complemented
3D4×#1136C211yesmaximal, characteristic, complemented
4#11729286C212yesmaximal, complemented
5C2×#89318C212yesmaximal, complemented
6#11727248C211yesmaximal, characteristic, complemented
7#11727247C211yesmaximal, characteristic, complemented
8#11727207C212yesmaximal, complemented
9#11727196C212yesmaximal, complemented
10#11727150C211yesmaximal, characteristic, complemented
11C4×#6379C211yesmaximal, characteristic, complemented
12C2×C4×C7×D4—21no—
13C2×C4×C7×D4C2211yescharacteristic
14C22×C42×C7C2212yes—
15#90497—21no—
16#90482C2212yes—
17C2×#6489C2212yes—
18C22×#1136C2212yes—
19#90256C412yescomplemented
20#90254C411yescharacteristic, complemented
21#90248—21no—
22#90246C411yescharacteristic, complemented
23#90234C411yescharacteristic, complemented
24#90233C411yescharacteristic, complemented
25#90232C412yescomplemented
26#90229—22no—
27C4×#1159—21no—
28#90204—21no—
29#90186—22no—
30C4×#1157C2211yescharacteristic
31#90161C2211yescharacteristic
32C4×C7×C4⋊C4—21no—
33C4×C7×C4⋊C4C2211yescharacteristic
34C4×C7×C22⋊C4—22no—
35C4×C7×C22⋊C4C2212yes—
36C43×C7C2211yescharacteristic
37#89979C2212yes—
38#89784—21no—
39#89783—22no—
40D4×C7⋊C8—21no—
41C2×#6379C2211yescharacteristic
42C2×#6379C2211yescharacteristic
43C2×#6379C2212yes—
44#89696C2211yescharacteristic
45C4×#1136C2211yescharacteristic
46#89318C2211yescharacteristic
47#89318C2211yescharacteristic
48#89318C2212yes—
49#89318C2212yes—
50#89318C2212yes—
51#89318C2212yes—
52#89318C2212yes—
53#22505—71nomaximal, Sylow
54C22×C7×D4D411yescharacteristic
55C23×C4×C7—22no—
56C23×C4×C7C2312yes—
57C2×#1159—21no—
58C2×#1157C2311yescharacteristic
59C4×C7×D4—28no—
60C4×C7×D4C2×C412yes—
61C4×C7×D4C2×C411yescharacteristic
62C4×C7×D4C2×C411yescharacteristic
63C4×C7×D4D411yescharacteristic
64C4×C7×D4D412yes—
65C4×C7×D4D411yescharacteristic
66C2×C7×C4⋊C4—21no—
67C2×C7×C4⋊C4D411yescharacteristic
68C2×C7×C22⋊C4—22no—
69C2×C7×C22⋊C4D412yes—
70C2×C42×C7—21no—
71C2×C42×C7—24no—
72C2×C42×C7—21no—
73C2×C42×C7—22no—
74C2×C42×C7—42no—
75C2×C42×C7C2311yescharacteristic
76C2×C42×C7C2312yes—
77C2×C42×C7C2311yescharacteristic
78C2×C42×C7C2311yescharacteristic
79#6516—22no—
80C2×C22⋊Dic7—22no—
81#6502—22no—
82#6501—21no—
83#6499—21no—
84#6498—22no—
85D4×Dic7—21no—
86#6493C2×C412yescomplemented
87#6493C2×C412yescomplemented
88#6492—22no—
89C4×C22⋊D7—21no—
90C4×C22⋊D7—21no—
91C4×C22⋊D7—22no—
92C4×C22⋊D7—22no—
93#6489—22no—
94#6489—22no—
95#6489C2×C412yescomplemented
96#6489C2×C412yescomplemented
97#6489C2312yes—
98#6489C2311yescharacteristic
99C2×C4⋊Dic7C2×C412yescomplemented
100C2×C4⋊Dic7C2×C412yescomplemented
101#6487—21no—
102#6487—21no—
103#6487C2×C412yescomplemented
104#6487C2×C412yescomplemented
105C2×C4×Dic7—22no—
106C2×#1136—22no—
107C2×#1136—24no—
108C2×#1136—42no—
109C2×#1136C2311yescharacteristic
110C2×#1136C2312yes—
111C2×#1136C2311yescharacteristic
112C22×C7⋊C8—22no—
113#6461—22no—
114#6460—21no—
115#6455—21no—
116#6453—21no—
117#6452—22no—
118#6450—21no—
119#6449—22no—
120#6448—22no—
121#6446—22no—
122(C22⋊D7)⋊C4—22no—
123#6442—22no—
124#6442—22no—
125#6441—22no—
126#6440—22no—
127C4×D28C2×C411yescharacteristic, complemented
128C4×D28C2×C411yescharacteristic, complemented
129#6435—21no—
130C42×D7—21no—
131#6433C2×C412yescomplemented
132#6432C2×C411yescharacteristic, complemented
133#6432C2×C411yescharacteristic, complemented
134C4×Dic14—21no—
135C4×Dic14—21no—
136C4×Dic14C2×C411yescharacteristic, complemented
137C4×Dic14C2×C411yescharacteristic, complemented
138C7×#95—21no—
139C7×#95—22no—
140C22⋊(C7⋊C8)—22no—
141C22⋊(C7⋊C8)—22no—
142#6379—22no—
143#6379—22no—
144#6379—42no—
145C4⋊(C7⋊C8)—21no—
146C4⋊(C7⋊C8)—21no—
147#6377—21no—
148C4×C7⋊C8—21no—
149#3475—71no—
150D4×M16—71no—
151C42×D4D711yescharacteristic, complemented
152#1994—71no—
153#1986—71no—
154#1896—72no—
155#1871—72no—
156#1826—72no—
157#1806—71no—
158C4×#104—71no—
159C2×#339—72no—
160C24×C7C2×D412yes—
161C2×C7×D4—24no—
162C2×C7×D4C22⋊C412yes—
163C2×C7×D4C22⋊C411yescharacteristic
164C2×C7×D4C22⋊C411yescharacteristic
165C22×C4×C7—21no—
166C22×C4×C7—22no—
167C22×C4×C7—22no—
168C22×C4×C7—22no—
169C22×C4×C7—22no—
170C22×C4×C7—28no—
171C22×C4×C7—21no—
172C22×C4×C7—22no—
173C22×C4×C7—44no—
174C22×C4×C7—44no—
175C22×C4×C7C22×C412yes—
176C22×C4×C7C22×C412yes—
177C22×C4×C7C2×D412yes—
178C22×C4×C7C2×D411yescharacteristic
179C22×C4×C7C2×D412yes—
180C22×C4×C7C2×D412yes—
181C22×C4×C7C2×D411yescharacteristic
182C22×C4×C7C2411yescharacteristic
183C2×C22⋊D7—22no—
184C2×C22⋊D7—21no—
185C2×C22⋊D7—22no—
186C22×Dic7—22no—
187C22×Dic7—22no—
188#1159—44no—
189#1157—21no—
190#1157—21no—
191#1157—21no—
192#1157—21no—
193C2×D28C22×C411yescharacteristic
194C2×C4×D7—21no—
195C2×C4×D7—21no—
196C2×C4×D7—21no—
197C2×Dic14—21no—
198C2×Dic14—21no—
199C2×Dic14C22×C411yescharacteristic
200C7×C4⋊C4—24no—
201C7×C4⋊C4C22⋊C411yescharacteristic
202C7×C4⋊C4C22⋊C412yes—
203C7×C4⋊C4C22⋊C411yescharacteristic
204C7×C22⋊C4—28no—
205C7×C22⋊C4C22⋊C412yes—
206C7×C22⋊C4C22⋊C412yes—
207C7×C22⋊C4C22⋊C412yes—
208C7×C22⋊C4C22⋊C412yes—
209C42×C7—24no—
210C42×C7—21no—
211C42×C7—22no—
212C42×C7—21no—
213C42×C7—22no—
214C42×C7—21no—
215C42×C7—44no—
216C42×C7—42no—
217C42×C7C22×C411yescharacteristic
218C42×C7C22×C411yescharacteristic
219C42×C7C2×D411yescharacteristic
220C42×C7C2×D411yescharacteristic
221C42×C7#4112yescomplemented
222C22⋊Dic7—22no—
223C22⋊Dic7—22no—
224C22⋊Dic7—22no—
225C22⋊Dic7—22no—
226C22⋊Dic7—22no—
227C22⋊Dic7—21no—
228(C2×D7)⋊C4—21no—
229(C2×D7)⋊C4—21no—
230(C2×D7)⋊C4—22no—
231(C2×D7)⋊C4—22no—
232C4⋊Dic7—21no—
233C4⋊Dic7—21no—
234C4⋊Dic7—22no—
235C4⋊Dic7—22no—
236C4⋊Dic7C22×C411yescharacteristic
237C4⋊Dic7C22×C411yescharacteristic
238C4⋊Dic7C22×C412yes—
239C4⋊Dic7C22×C412yes—
240Dic7⋊C4—22no—
241Dic7⋊C4—22no—
242Dic7⋊C4—21no—
243Dic7⋊C4—21no—
244Dic7⋊C4—22no—
245Dic7⋊C4—22no—
246C4×Dic7—21no—
247C4×Dic7—21no—
248C4×Dic7—22no—
249C4×Dic7—22no—
250C4×Dic7—22no—
251C4×Dic7—21no—
252#1136—21no—
253#1136—22no—
254#1136—21no—
255#1136—22no—
256#1136—21no—
257#1136—44no—
258#1136#4112yescomplemented
259C2×C7⋊C8—21no—
260C2×C7⋊C8—21no—
261C2×C7⋊C8—22no—
262C2×C7⋊C8—44no—
263C22×M16—72no—
264#556—71no—
265#555—71no—
266#554—71no—
267#553—72no—
268#552—72no—
269#552—141no—
270#551—142no—
271#547—71no—
272#546—141no—
273#533—71no—
274#529—142no—
275#529—141no—
276#525—72no—
277C4×#41—71no—
278C4×#41—141no—
279C2×C4×D4—21no—
280C2×C4×D4C2×D711yescharacteristic
281C2×#117—72no—
282C22×C42C2×D712yes—
283#436—141no—
284#435—142no—
285C8×D4—141no—
286#423—71no—
287C2×#104—71no—
288C2×#104—71no—
289C2×#104—72no—
290#407—72no—
291C4×M16—71no—
292C4×C4⋊C4—21no—
293C4×C4⋊C4C2×D711yescharacteristic
294C4×C22⋊C4—22no—
295C4×C22⋊C4C2×D712yes—
296C43C2×D711yescharacteristic
297#339—72no—
298#339—71no—
299#339—72no—
300#339—72no—
301#339—72no—
302#339—72no—
303#339—71no—
304C23×C7—22no—
305C23×C7—22no—
306C23×C7—24no—
307C23×C7—42no—
308C23×C7C2×C22⋊C412yes—
309C23×C7C2×C22⋊C412yes—
310C23×C7C22×D411yescharacteristic
311C22×D7—21no—
312C7×D4—24no—
313C7×D4—22no—
314C7×D4#10414yescomplemented
315C2×C4×C7—22no—
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—22no—
324C2×C4×C7—22no—
325C2×C4×C7—22no—
326C2×C4×C7—22no—
327C2×C4×C7—22no—
328C2×C4×C7—22no—
329C2×C4×C7—22no—
330C2×C4×C7—24no—
331C2×C4×C7—41no—
332C2×C4×C7—416no—
333C2×C4×C7—41no—
334C2×C4×C7—42no—
335C2×C4×C7—42no—
336C2×C4×C7—41no—
337C2×C4×C7C2×C22⋊C412yes—
338C2×C4×C7C2×C22⋊C411yescharacteristic
339C2×C4×C7C2×C22⋊C411yescharacteristic
340C2×C4×C7C2×C22⋊C412yes—
341C2×C4×C7C2×C22⋊C411yescharacteristic
342C2×C4×C7C2×C22⋊C411yescharacteristic
343C2×C4×C7C23×C411yescharacteristic
344C2×C4×C7C22×D411yescharacteristic
345C2×C4×C7C2×#4111yescharacteristic
346C2×C4×C7C2×#4111yescharacteristic
347C2×C4×C7H(5,𝔽2)11yescharacteristic
348C2×C4×C72−1+411yescharacteristic
349C22⋊D7—41no—
350C22⋊D7—41no—
351C22⋊D7—44no—
352C22⋊D7—82no—
353C2×Dic7—21no—
354C2×Dic7—21no—
355C2×Dic7—21no—
356C2×Dic7—22no—
357C2×Dic7—22no—
358C2×Dic7—44no—
359C2×Dic7—82no—
360D28—21no—
361D28—21no—
362C4×D7—41no—
363C4×D7—41no—
364C4×D7—42no—
365C4×D7—81no—
366Dic14—21no—
367Dic14—21no—
368Dic14—42no—
369Dic14—81no—
370C7⋊C8—22no—
371C7⋊C8—42no—
372C7⋊C8—41no—
373C2×#41—71no—
374C2×#41—141no—
375C22×D4C22⋊D711yescharacteristic
376C23×C4—22no—
377C23×C4C22×D712yes—
378C2×M16—71no—
379C2×M16—72no—
380C2×M16—71no—
381C2×M16—142no—
382C2×M16—144no—
383C2×M16—282no—
384C22×C8—142no—
385C4⋊Q8—71no—
386C4⋊Q8—71no—
387#126—142no—
388#126—142no—
389#126—142no—
390#125—72no—
391#125—142no—
392#125—141no—
393#124—141no—
394#124—142no—
395#123—142no—
396#123—142no—
397#123—142no—
398#123—142no—
399C22⋊Q8—72no—
400C22⋊Q8—72no—
401C22⋊Q8—141no—
402C22⋊Q8—141no—
403C22⋊Q8—141no—
404C22⋊Q8—142no—
405#121—72no—
406#121—72no—
407#121—142no—
408#121—141no—
409#120—142no—
410C4×Q8—71no—
411C4×Q8—71no—
412C4×Q8—141no—
413C4×Q8—141no—
414C4×Q8—141no—
415C4×D4—28no—
416C4×D4—71no—
417C4×D4—71no—
418C4×D4—141no—
419C4×D4—142no—
420C4×D4—142no—
421C4×D4—141no—
422C4×D4—141no—
423C4×D4—142no—
424C4×D4C4×D711yescharacteristic
425C4×D4C4×D712yes—
426C4×D4C4×D711yescharacteristic
427C4×D4D2811yescharacteristic
428C4×D4D2812yes—
429C4×D4D2811yescharacteristic
430#117—72no—
431#117—72no—
432#117—71no—
433#117—72no—
434#117—142no—
435#117—142no—
436#117—141no—
437#117—142no—
438#117—141no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—72no—
441C2×C4⋊C4—72no—
442C2×C4⋊C4C22⋊D711yescharacteristic
443C2×C22⋊C4—22no—
444C2×C22⋊C4—142no—
445C2×C22⋊C4C22⋊D712yes—
446C2×C42—21no—
447C2×C42—24no—
448C2×C42—21no—
449C2×C42—22no—
450C2×C42—42no—
451C2×C42—142no—
452C2×C42—141no—
453C2×C42C22×D711yescharacteristic
454C2×C42C22×D712yes—
455C2×C42C22×D711yescharacteristic
456C2×C42C22×D711yescharacteristic
457C4⋊C8—141no—
458C4⋊C8—141no—
459#104—142no—
460#104—142no—
461#104—282no—
462C22⋊C8—142no—
463C22⋊C8—142no—
464#97—141no—
465C4×C8—141no—
466#95—21no—
467#95—22no—
468C22×C7—22no—
469C22×C7—21no—
470C22×C7—22no—
471C22×C7—21no—
472C22×C7—22no—
473C22×C7—22no—
474C22×C7—22no—
475C22×C7—44no—
476C22×C7—44no—
477C22×C7C2×#10414yes—
478C22×C7C22×C22⋊C411yescharacteristic
479C22×C7#54611yescharacteristic
480C22×C7#54711yescharacteristic
481C2×D7—41no—
482C2×D7—41no—
483C2×D7—41no—
484C4×C7—24no—
485C4×C7—22no—
486C4×C7—22no—
487C4×C7—21no—
488C4×C7—21no—
489C4×C7—21no—
490C4×C7—42no—
491C4×C7—44no—
492C4×C7C2×#10412yes—
493C4×C7C4×#4111yescharacteristic
494C4×C7#52011yescharacteristic
495C4×C7#54611yescharacteristic
496C4×C7#54711yescharacteristic
497Dic7—41no—
498Dic7—42no—
499Dic7—41no—
500Dic7—42no—
501Dic7—41no—
502C24C2×C22⋊D712yes—
503#41—141no—
504#41—141no—
505#41—141no—
506#41—141no—
507#41—284no—
508C2×Q8—71no—
509C2×Q8—141no—
510C2×Q8—141no—
511C2×D4—24no—
512C2×D4—71no—
513C2×D4—142no—
514C2×D4—141no—
515C2×D4—142no—
516C2×D4(C2×D7)⋊C412yes—
517C2×D4(C2×D7)⋊C411yescharacteristic
518C2×D4(C2×D7)⋊C411yescharacteristic
519C22×C4—21no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—28no—
525C22×C4—21no—
526C22×C4—22no—
527C22×C4—44no—
528C22×C4—44no—
529C22×C4—142no—
530C22×C4—142no—
531C22×C4—141no—
532C22×C4—141no—
533C22×C4—141no—
534C22×C4C2×C4×D712yes—
535C22×C4C2×C4×D712yes—
536C22×C4C2×D2812yes—
537C22×C4C2×D2812yes—
538C22×C4C2×C22⋊D712yes—
539C22×C4C2×C22⋊D711yescharacteristic
540C22×C4C2×C22⋊D711yescharacteristic
541C22×C4C23×D711yescharacteristic
542M16—72no—
543M16—141no—
544M16—141no—
545M16—142no—
546M16—142no—
547M16—141no—
548M16—284no—
549C2×C8—141no—
550C2×C8—141no—
551C2×C8—142no—
552C2×C8—284no—
553C4⋊C4—24no—
554C4⋊C4—71no—
555C4⋊C4—71no—
556C4⋊C4—72no—
557C4⋊C4—72no—
558C4⋊C4—141no—
559C4⋊C4—141no—
560C4⋊C4—142no—
561C4⋊C4—142no—
562C4⋊C4—142no—
563C4⋊C4—142no—
564C4⋊C4—142no—
565C4⋊C4—142no—
566C4⋊C4—141no—
567C4⋊C4—141no—
568C4⋊C4(C2×D7)⋊C411yescharacteristic
569C4⋊C4(C2×D7)⋊C411yescharacteristic
570C4⋊C4(C2×D7)⋊C412yes—
571C22⋊C4—28no—
572C22⋊C4—142no—
573C22⋊C4—142no—
574C22⋊C4—142no—
575C22⋊C4—142no—
576C22⋊C4—141no—
577C22⋊C4—142no—
578C22⋊C4—141no—
579C22⋊C4—141no—
580C22⋊C4—142no—
581C22⋊C4—142no—
582C22⋊C4(C2×D7)⋊C412yes—
583C22⋊C4(C2×D7)⋊C412yes—
584C22⋊C4(C2×D7)⋊C412yes—
585C22⋊C4(C2×D7)⋊C412yes—
586C42—24no—
587C42—21no—
588C42—22no—
589C42—22no—
590C42—21no—
591C42—21no—
592C42—44no—
593C42—42no—
594C42—142no—
595C42—142no—
596C42—141no—
597C42—141no—
598C42—141no—
599C42—142no—
600C42C2×C4×D711yescharacteristic
601C42C2×C4×D711yescharacteristic
602C42C2×D2811yescharacteristic
603C42C2×D2811yescharacteristic
604C42#115912yescomplemented
605C2×C7—21no—
606C2×C7—21no—
607C2×C7—24no—
608C2×C7—42no—
609C2×C7#233911yescharacteristic
610C2×C7C22×#10411yescharacteristic
611C2×C7#290111yescharacteristic
612D7—81no—
613C23—24no—
614C23—22no—
615C23—22no—
616C23—42no—
617C23—141no—
618C23C2×(C2×D7)⋊C412yes—
619C23C2×(C2×D7)⋊C412yes—
620C23C22×C22⋊D711yescharacteristic
621Q8—141no—
622Q8—141no—
623Q8—282no—
624Q8—561no—
625D4—24no—
626D4—22no—
627D4—141no—
628D4—141no—
629D4—284no—
630D4—281no—
631D4—281no—
632D4—562no—
633D4#637914yescomplemented
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—24no—
650C2×C4—41no—
651C2×C4—416no—
652C2×C4—41no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—41no—
656C2×C4—141no—
657C2×C4—141no—
658C2×C4—142no—
659C2×C4—142no—
660C2×C4—141no—
661C2×C4—284no—
662C2×C4—282no—
663C2×C4—281no—
664C2×C4—281no—
665C2×C4—561no—
666C2×C4—562no—
667C2×C4C2×(C2×D7)⋊C412yes—
668C2×C4C2×(C2×D7)⋊C411yescharacteristic
669C2×C4C2×(C2×D7)⋊C411yescharacteristic
670C2×C4C2×(C2×D7)⋊C411yescharacteristic
671C2×C4C2×(C2×D7)⋊C412yes—
672C2×C4C2×(C2×D7)⋊C411yescharacteristic
673C2×C4C22×C4×D711yescharacteristic
674C2×C4C22×D2811yescharacteristic
675C2×C4C2×#115911yescharacteristic
676C2×C4#654811yescharacteristic
677C2×C4D7×#4111yescharacteristic
678C2×C4#655411yescharacteristic
679C8—142no—
680C8—282no—
681C8—281no—
682C7#2250511yescharacteristic, complemented, Sylow
683C22—21no—
684C22—22no—
685C22—21no—
686C22—22no—
687C22—22no—
688C22—22no—
689C22—22no—
690C22—44no—
691C22—44no—
692C22—281no—
693C22—281no—
694C22—281no—
695C22C2×#637914yes—
696C22C22×(C2×D7)⋊C411yescharacteristic
697C22#9049711yescharacteristic
698C22#9051511yescharacteristic
699C4—24no—
700C4—21no—
701C4—21no—
702C4—21no—
703C4—22no—
704C4—22no—
705C4—44no—
706C4—42no—
707C4—281no—
708C4—282no—
709C4—281no—
710C4—282no—
711C4—281no—
712C4C2×#637912yes—
713C4C4×#115911yescharacteristic
714C4#9023711yescharacteristic
715C4#9024511yescharacteristic
716C4#9024611yescharacteristic
717C2—21no—
718C2—21no—
719C2—24no—
720C2—42no—
721C2—561no—
722C2C22×#637911yescharacteristic
723C2#1173977511yescharacteristic
724C2#1173998111yescharacteristic
subgroupG/H
centerC2×C4C22×D28
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
FittingC42×C7×D4C2
socleC22×C7C22×C22⋊C4
prime radical#11742832C2
cosocleC22×C4×C7C24
hypercenterC42×D4D7
hypocenterC7#22505
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C2×C4 ◁ C2×C4×D4 ◁ C42×D4

Complements

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

NH ≅ G/Ntype
2. C42×C7×D4C2semidirect
3. D4×#1136C2semidirect
4. #11729286C2semidirect
5. C2×#89318C2semidirect
6. #11727248C2semidirect
7. #11727247C2semidirect
8. #11727207C2semidirect
9. #11727196C2semidirect
10. #11727150C2semidirect
11. C4×#6379C2semidirect
19. #90256C4semidirect
20. #90254C4semidirect
22. #90246C4semidirect
23. #90234C4semidirect
24. #90233C4semidirect
25. #90232C4semidirect
86. #6493C2×C4semidirect
87. #6493C2×C4semidirect
95. #6489C2×C4semidirect
96. #6489C2×C4semidirect
99. C2×C4⋊Dic7C2×C4semidirect
100. C2×C4⋊Dic7C2×C4semidirect
103. #6487C2×C4semidirect
104. #6487C2×C4semidirect
127. C4×D28C2×C4semidirect
128. C4×D28C2×C4semidirect
131. #6433C2×C4semidirect
132. #6432C2×C4semidirect
133. #6432C2×C4semidirect
136. C4×Dic14C2×C4semidirect
137. C4×Dic14C2×C4semidirect
151. C42×D4D7semidirect
221. C42×C7#41semidirect
258. #1136#41semidirect
314. C7×D4#104semidirect
604. C42#1159semidirect
633. D4#6379semidirect
682. C7#22505semidirect

Maximal subgroups

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

subgroupindex
#117428322
C42×C7×D42
D4×#11362
#117292862
C2×#893182
#117272482
#117272472
#117272072
#117271962
#117271502
C4×#63792
#225057