Finite Group Databasebeta

← #13364955

Subgroups — #13364955

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
1C2×C7×#452C211yesmaximal, characteristic
2#11741531C211yesmaximal, characteristic
3Dic7×C22⋊Q8C211yesmaximal, characteristic, complemented
4#11729889C211yesmaximal, characteristic
5#11729820C211yesmaximal, characteristic, complemented
6#11729819C211yesmaximal, characteristic, complemented
7#11729803C211yesmaximal, characteristic, complemented
8#11729802C211yesmaximal, characteristic, complemented
9#11729447C211yesmaximal, characteristic, complemented
10#11728007C211yesmaximal, characteristic, complemented
11#11727977C211yesmaximal, characteristic, complemented
12#11727939C211yesmaximal, characteristic, complemented
13#11727909C211yesmaximal, characteristic, complemented
14#11727683C211yesmaximal, characteristic, complemented
15Dic7×C22⋊C8C211yesmaximal, characteristic, complemented
16C22×C7×#41C2211yescharacteristic
17C22×C7×Q16C2211yescharacteristic
18C22×C7×SD16C2211yescharacteristic
19C2×C7×C22⋊Q8C2211yescharacteristic
20C2×Q8×Dic7C2211yescharacteristic
21C2×#6489C2211yescharacteristic
22C22×C4×Dic7C2211yescharacteristic
23C7×#452C418yescomplemented
24C2×C7×#103C2211yescharacteristic
25C2×C7×#102C2211yescharacteristic
26C2×C7×C22⋊C8C2211yescharacteristic
27#90002C2211yescharacteristic
28#90002C2211yescharacteristic
29#90002C2211yescharacteristic
30C2×#6409C2211yescharacteristic
31C2×#6409C2211yescharacteristic
32C2×#6409C2211yescharacteristic
33C2×#6409C2211yescharacteristic
34#89993C2211yescharacteristic
35#89993C2211yescharacteristic
36#89992—21no—
37#89992—21no—
38C2×#6406C2211yescharacteristic
39C2×#6406C2211yescharacteristic
40#89984C2211yescharacteristic
41C4×C22⋊Dic7—21no—
42C4×C22⋊Dic7—21no—
43C2×C22⋊(C7⋊C8)C2211yescharacteristic
44C2×#6392C2211yescharacteristic
45C2×#6391C2211yescharacteristic
46C2×C8×Dic7C2211yescharacteristic
47C2×C8×Dic7C2211yescharacteristic
48#89757C2211yescharacteristic
49#89753—21no—
50C4⋊C4×Dic7—21no—
51C4⋊C4×Dic7C2211yescharacteristic
52#89722—21no—
53C22⋊C4×Dic7—21no—
54#89346C2211yescharacteristic
55#89346C2211yescharacteristic
56#89345C2211yescharacteristic
57#89345C2211yescharacteristic
58#89324C2211yescharacteristic
59#89324C2211yescharacteristic
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×Q8C2311yescharacteristic
69C22×C7×D4—21no—
70C22×C7×D4C2311yescharacteristic
71C23×C4×C7—21no—
72C23×C4×C7C2311yescharacteristic
73C23×Dic7D411yescharacteristic
74C23×Dic7D411yescharacteristic
75C2×C7×Q16—41no—
76C2×C7×Q16—41no—
77C2×C7×Q16C2×C414yescomplemented
78C2×C7×SD16—41no—
79C2×C7×SD16—41no—
80C2×C7×SD16C2×C414yescomplemented
81C22×C7×C8C2311yescharacteristic
82C22×C7×C8C2311yescharacteristic
83C7×C22⋊Q8—22no—
84C7×C22⋊Q8C2×C414yes—
85C2×C7×C4⋊C4—21no—
86C2×C7×C4⋊C4C2311yescharacteristic
87C2×C7×C22⋊C4—21no—
88C2×C22⋊Dic7—21no—
89C2×C22⋊Dic7—21no—
90C2×C22⋊Dic7—21no—
91C2×C22⋊Dic7—21no—
92C2×C22⋊Dic7—21no—
93C2×C22⋊Dic7—21no—
94Q8×Dic7—41no—
95Q8×Dic7—41no—
96#6489—41no—
97#6489—41no—
98C2×C4⋊Dic7—21no—
99C2×C4⋊Dic7—21no—
100C2×C4⋊Dic7C2311yescharacteristic
101C2×C4⋊Dic7C2311yescharacteristic
102C2×C4⋊Dic7C2311yescharacteristic
103C2×C4⋊Dic7C2311yescharacteristic
104C2×C4×Dic7—21no—
105C2×C4×Dic7—21no—
106C2×C4×Dic7—21no—
107C2×C4×Dic7—41no—
108C2×C4×Dic7—41no—
109C2×C4×Dic7D411yescharacteristic
110C2×C4×Dic7D411yescharacteristic
111C2×C4×Dic7C2311yescharacteristic
112C2×C4×Dic7C2311yescharacteristic
113C22×C7⋊C8C2311yescharacteristic
114C22×C7⋊C8C2311yescharacteristic
115C7×#103C2×C414yescomplemented
116C7×#102C2×C414yescomplemented
117C7×C22⋊C8C2×C414yes—
118#6409—41no—
119#6409—41no—
120#6409—41no—
121#6409—41no—
122#6406—41no—
123#6406—41no—
124C7⋊#95—21no—
125C7⋊#95—21no—
126C7⋊#95—21no—
127C7⋊#95—21no—
128C7⋊#95—21no—
129C7⋊#95—21no—
130C7⋊#95—21no—
131C7⋊#95—21no—
132C7⋊#95—21no—
133C22⋊(C7⋊C8)—22no—
134#6392—41no—
135#6391—41no—
136C8×Dic7—41no—
137C8×Dic7—41no—
138C2×#452D711yescharacteristic
139C4×C22⋊Q8—71no—
140#2297—71no—
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×Q8—21no—
165C2×C7×Q8—21no—
166C2×C7×Q8—21no—
167C2×C7×Q8—21no—
168C2×C7×Q8—21no—
169C2×C7×Q8C22×C412yes—
170C2×C7×Q8C22×C412yes—
171C2×C7×D4—24no—
172C2×C7×D4—21no—
173C2×C7×D4—21no—
174C2×C7×D4—21no—
175C2×C7×D4—21no—
176C2×C7×D4—21no—
177C2×C7×D4—42no—
178C2×C7×D4—42no—
179C2×C7×D4C22×C412yes—
180C22×C4×C7—21no—
181C22×C4×C7—21no—
182C22×C4×C7—21no—
183C22×C4×C7—21no—
184C22×C4×C7—21no—
185C22×C4×C7—21no—
186C22×C4×C7—21no—
187C22×C4×C7—24no—
188C22×C4×C7—42no—
189C22×C4×C7—42no—
190C22×C4×C7C22×C412yes—
191C22×C4×C7C2×D411yescharacteristic
192C22×C4×C7#4112yes—
193C22×C4×C7C2411yescharacteristic
194C22×Dic7—22no—
195C22×Dic7—22no—
196C22×Dic7—22no—
197C22×Dic7—21no—
198C22×Dic7—21no—
199C22×Dic7—21no—
200C22×Dic7—21no—
201C22×Dic7—41no—
202C22×Dic7—41no—
203C22×Dic7—41no—
204C22×Dic7C2×D411yescharacteristic
205C22×Dic7C2×D411yescharacteristic
206C22×Dic7C2×D411yescharacteristic
207C22×Dic7C2×D411yescharacteristic
208C7×Q16—44no—
209C7×SD16—44no—
210C2×C7×C8—21no—
211C2×C7×C8—21no—
212C2×C7×C8—21no—
213C2×C7×C8—21no—
214C2×C7×C8C22×C412yes—
215C2×C7×C8C22×C412yes—
216C7×C4⋊C4—24no—
217C7×C4⋊C4—21no—
218C7×C4⋊C4C22×C412yes—
219C7×C22⋊C4—24no—
220C22⋊Dic7—42no—
221C22⋊Dic7—42no—
222C22⋊Dic7—42no—
223C22⋊Dic7—42no—
224C22⋊Dic7—42no—
225C22⋊Dic7—42no—
226C4⋊Dic7—21no—
227C4⋊Dic7—21no—
228C4⋊Dic7—21no—
229C4⋊Dic7—21no—
230C4⋊Dic7—21no—
231C4⋊Dic7—21no—
232C4⋊Dic7—21no—
233C4⋊Dic7—21no—
234C4⋊Dic7—42no—
235C4⋊Dic7—42no—
236C4×Dic7—21no—
237C4×Dic7—21no—
238C4×Dic7—21no—
239C4×Dic7—21no—
240C4×Dic7—41no—
241C4×Dic7—41no—
242C4×Dic7—42no—
243C4×Dic7—42no—
244C4×Dic7—42no—
245C2×C7⋊C8—21no—
246C2×C7⋊C8—21no—
247C2×C7⋊C8—21no—
248C2×C7⋊C8—21no—
249C2×C7⋊C8—21no—
250C2×C7⋊C8—21no—
251C22×#41C2×D711yescharacteristic
252C22×Q16C2×D711yescharacteristic
253C22×SD16C2×D711yescharacteristic
254C2×C22⋊Q8C2×D711yescharacteristic
255C2×C4×Q8—71no—
256C2×#117—71no—
257C22×C42—71no—
258#452Dic718yescomplemented
259C2×#107—71no—
260C2×#106—71no—
261C2×#103—71no—
262C2×#103—71no—
263C2×#103—71no—
264C2×#103—71no—
265C2×#103C2×D711yescharacteristic
266C2×#102—71no—
267C2×#102—71no—
268C2×#102C2×D711yescharacteristic
269C2×C22⋊C8—71no—
270C2×C22⋊C8C2×D711yescharacteristic
271C2×C4×C8—71no—
272C2×C4×C8—71no—
273#391—71no—
274#391—71no—
275#391—71no—
276#390—71no—
277#390—71no—
278#389—71no—
279#387—141no—
280#386—141no—
281#386—141no—
282#385—141no—
283#380—71no—
284C4×C4⋊C4—71no—
285C4×C4⋊C4—141no—
286C4×C22⋊C4—141no—
287C4×C22⋊C4—141no—
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—22no—
313C7×Q8—22no—
314C7×Q8—41no—
315C7×Q8—41no—
316C7×Q8—41no—
317C7×Q8—41no—
318C7×D4—22no—
319C7×D4—22no—
320C7×D4—48no—
321C7×D4—41no—
322C7×D4—41no—
323C2×C4×C7—21no—
324C2×C4×C7—21no—
325C2×C4×C7—22no—
326C2×C4×C7—22no—
327C2×C4×C7—22no—
328C2×C4×C7—22no—
329C2×C4×C7—22no—
330C2×C4×C7—22no—
331C2×C4×C7—22no—
332C2×C4×C7—48no—
333C2×C4×C7—41no—
334C2×C4×C7—41no—
335C2×C4×C7—41no—
336C2×C4×C7—41no—
337C2×C4×C7—41no—
338C2×C4×C7—41no—
339C2×C4×C7C4×D412yes—
340C2×C4×C7C23×C411yescharacteristic
341C2×C4×C7C2×#4111yescharacteristic
342C2×C4×C7H(5,𝔽2)11yescharacteristic
343C2×C4×C7H(5,𝔽2)11yescharacteristic
344C2×C4×C7H(5,𝔽2)11yescharacteristic
345C2×C4×C7H(5,𝔽2)11yescharacteristic
346C2×Dic7—21no—
347C2×Dic7—21no—
348C2×Dic7—21no—
349C2×Dic7—21no—
350C2×Dic7—21no—
351C2×Dic7—21no—
352C2×Dic7—21no—
353C2×Dic7—21no—
354C2×Dic7—21no—
355C2×Dic7—44no—
356C2×Dic7—44no—
357C2×Dic7—41no—
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—
368C2×Dic7—41no—
369C2×Dic7#13512yes—
370C2×Dic7#13512yes—
371C2×Dic7#13712yes—
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×#41C2×Dic714yes—
382C22×Q8C22×D711yescharacteristic
383C22×Q8C22×D711yescharacteristic
384C22×D4—21no—
385C22×D4C22×D711yescharacteristic
386C23×C4—21no—
387C23×C4—71no—
388C23×C4—71no—
389C23×C4C22×D711yescharacteristic
390C2×Q16—41no—
391C2×Q16—41no—
392C2×Q16C2×Dic714yescomplemented
393C2×SD16—41no—
394C2×SD16—41no—
395C2×SD16C2×Dic714yescomplemented
396C22×C8—71no—
397C22×C8—71no—
398C22×C8C22×D711yescharacteristic
399C22×C8C22×D711yescharacteristic
400C22⋊Q8—22no—
401C22⋊Q8C2×Dic714yes—
402C4×Q8—281no—
403C4×Q8—281no—
404#117—281no—
405#117—281no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4—71no—
408C2×C4⋊C4—71no—
409C2×C4⋊C4—71no—
410C2×C4⋊C4—71no—
411C2×C4⋊C4—141no—
412C2×C4⋊C4—141no—
413C2×C4⋊C4C22×D711yescharacteristic
414C2×C22⋊C4—21no—
415C2×C22⋊C4—141no—
416C2×C22⋊C4—141no—
417C2×C22⋊C4—141no—
418C2×C22⋊C4—141no—
419C2×C22⋊C4—141no—
420C2×C22⋊C4—141no—
421C2×C42—71no—
422C2×C42—71no—
423C2×C42—71no—
424C2×C42—71no—
425C2×C42—141no—
426C2×C42—141no—
427C2×C42—141no—
428C2×C42—281no—
429C2×C42—281no—
430#107—281no—
431#106—281no—
432#103—281no—
433#103—281no—
434#103—281no—
435#103—281no—
436#103C2×Dic714yescomplemented
437#102—281no—
438#102—281no—
439#102C2×Dic714yescomplemented
440C22⋊C8—142no—
441C22⋊C8C2×Dic714yes—
442C4×C8—281no—
443C4×C8—281no—
444#95—141no—
445#95—141no—
446#95—141no—
447#95—141no—
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—42no—
476C4×C7—42no—
477C4×C7—42no—
478C4×C7#51811yescharacteristic
479C4×C7#51811yescharacteristic
480C4×C7#53811yescharacteristic
481C4×C7#53811yescharacteristic
482Dic7—22no—
483Dic7—22no—
484Dic7—22no—
485Dic7—41no—
486Dic7—81no—
487Dic7—81no—
488Dic7—81no—
489Dic7—81no—
490C24—21no—
491C24D4×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—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8C22×Dic712yes—
507C2×Q8C22×Dic712yes—
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×D4C22×Dic712yes—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—24no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—71no—
528C22×C4—71no—
529C22×C4—71no—
530C22×C4—71no—
531C22×C4—142no—
532C22×C4—142no—
533C22×C4—142no—
534C22×C4—141no—
535C22×C4—141no—
536C22×C4—141no—
537C22×C4—141no—
538C22×C4—281no—
539C22×C4—281no—
540C22×C4—281no—
541C22×C4D4×D711yescharacteristic
542C22×C4#115912yes—
543C22×C4C22×Dic712yes—
544C22×C4C23×D711yescharacteristic
545Q16—44no—
546SD16—44no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—141no—
552C2×C8—141no—
553C2×C8—141no—
554C2×C8—141no—
555C2×C8—141no—
556C2×C8—141no—
557C2×C8C22×Dic712yes—
558C2×C8C22×Dic712yes—
559C4⋊C4—24no—
560C4⋊C4—21no—
561C4⋊C4—141no—
562C4⋊C4—141no—
563C4⋊C4—141no—
564C4⋊C4—141no—
565C4⋊C4—141no—
566C4⋊C4—141no—
567C4⋊C4—141no—
568C4⋊C4—141no—
569C4⋊C4—282no—
570C4⋊C4—282no—
571C4⋊C4C22×Dic712yes—
572C22⋊C4—24no—
573C22⋊C4—282no—
574C22⋊C4—282no—
575C22⋊C4—282no—
576C22⋊C4—282no—
577C22⋊C4—282no—
578C22⋊C4—282no—
579C42—141no—
580C42—141no—
581C42—141no—
582C42—141no—
583C42—281no—
584C42—281no—
585C42—282no—
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—
610C23D4×Dic712yes—
611C23C2×D4×D711yescharacteristic
612Q8—22no—
613Q8—22no—
614Q8—22no—
615Q8—22no—
616Q8—41no—
617Q8—41no—
618Q8—41no—
619Q8—41no—
620D4—22no—
621D4—22no—
622D4—48no—
623D4—41no—
624D4—41no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—48no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—72no—
642C2×C4—72no—
643C2×C4—72no—
644C2×C4—141no—
645C2×C4—141no—
646C2×C4—141no—
647C2×C4—141no—
648C2×C4—141no—
649C2×C4—141no—
650C2×C4—141no—
651C2×C4—141no—
652C2×C4—141no—
653C2×C4—284no—
654C2×C4—284no—
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×C4—281no—
665C2×C4—281no—
666C2×C4—281no—
667C2×C4D4×Dic712yes—
668C2×C4C2×#115911yescharacteristic
669C2×C4#654811yescharacteristic
670C2×C4#654811yescharacteristic
671C2×C4#654811yescharacteristic
672C2×C4#654811yescharacteristic
673C2×C4C23×Dic711yescharacteristic
674C8—22no—
675C8—22no—
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—
693C22#9028011yescharacteristic
694C22#9028311yescharacteristic
695C22D7×#13511yescharacteristic
696C22D7×#13511yescharacteristic
697C22D7×#13711yescharacteristic
698C22#9046811yescharacteristic
699C22C2×D4×Dic711yescharacteristic
700C4—22no—
701C4—42no—
702C4—42no—
703C4—42no—
704C4—142no—
705C4—142no—
706C4—142no—
707C4—281no—
708C4—561no—
709C4—561no—
710C4—561no—
711C4—561no—
712C4#9028411yescharacteristic
713C4#9028411yescharacteristic
714C4#9048911yescharacteristic
715C4#9048911yescharacteristic
716C2—42no—
717C2—82no—
718C2#1173766511yescharacteristic
719C2#1173766611yescharacteristic
720C2#1173767811yescharacteristic
721C2#1173767911yescharacteristic
722C2#1174002311yescharacteristic
723C2Dic7×#13511yescharacteristic
724C2Dic7×#13711yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
FittingC2×C7×#452C2
socleC23×C7C22×D4
prime radicalC22×C7×#41C22
cosocleC22×C4×C7C24
hypercenterC2×#452D7
hypocenterC7#22042
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#452

Complements

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

NH ≅ G/Ntype
3. Dic7×C22⋊Q8C2semidirect
5. #11729820C2semidirect
6. #11729819C2semidirect
7. #11729803C2semidirect
8. #11729802C2semidirect
9. #11729447C2semidirect
10. #11728007C2semidirect
11. #11727977C2semidirect
12. #11727939C2semidirect
13. #11727909C2semidirect
14. #11727683C2semidirect
15. Dic7×C22⋊C8C2semidirect
23. C7×#452C4semidirect
77. C2×C7×Q16C2×C4semidirect
80. C2×C7×SD16C2×C4semidirect
115. C7×#103C2×C4semidirect
116. C7×#102C2×C4semidirect
258. #452Dic7semidirect
392. C2×Q16C2×Dic7semidirect
395. C2×SD16C2×Dic7semidirect
436. #103C2×Dic7semidirect
439. #102C2×Dic7semidirect
678. C7#22042semidirect

Maximal subgroups

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

subgroupindex
C2×C7×#4522
#117415312
Dic7×C22⋊Q82
#117298892
#117298202
#117298192
#117298032
#117298022
#117294472
#117280072
#117279772
#117279392
#117279092
#117276832
Dic7×C22⋊C82
#220427