Finite Group Databasebeta

← #13397701

Subgroups — #13397701

Order 1792.

966 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2341C211yesmaximal, characteristic
2C2×#90011C211yesmaximal, characteristic
3C2×C4×#1144C211yesmaximal, characteristic, complemented
4#11730929C211yesmaximal, characteristic, complemented
5#11729889C211yesmaximal, characteristic
6#11729386C211yesmaximal, characteristic, complemented
7#11729382C211yesmaximal, characteristic, complemented
8#11729380C211yesmaximal, characteristic, complemented
9#11727414C211yesmaximal, characteristic, complemented
10#11727409C211yesmaximal, characteristic, complemented
11#11727405C211yesmaximal, characteristic, complemented
12#11727398C211yesmaximal, characteristic, complemented
13#11727281C211yesmaximal, characteristic, complemented
14#11727272C211yesmaximal, characteristic, complemented
15#11727205C211yesmaximal, characteristic, complemented
16C22×C7×#41C2211yescharacteristic
17C2×C4×C7×Q8C2211yescharacteristic
18C2×C4×C7×Q8C2211yescharacteristic
19C22×#1144C2211yescharacteristic
20C22×#1142C2211yescharacteristic
21C2×#6487C2211yescharacteristic
22C2×C4×Dic14C2211yescharacteristic
23C7×#390—21no—
24C7×#390—21no—
25C7×#390C2211yescharacteristic
26C7×#390C2211yescharacteristic
27C7×#380—21no—
28C7×#380C2211yescharacteristic
29C4×C7×C22⋊C4—21no—
30C4×C7×C22⋊C4C2211yescharacteristic
31#90011—24no—
32C2×#6409C2211yescharacteristic
33C2×#6409C2211yescharacteristic
34C2×#6409C2211yescharacteristic
35C2×#6406C2211yescharacteristic
36C2×#6406C2211yescharacteristic
37C2×#6406C2211yescharacteristic
38#89984C2211yescharacteristic
39C2×C22⋊(C7⋊C8)C2211yescharacteristic
40C2×C22⋊(C7⋊C8)C2211yescharacteristic
41C4×#1144—24no—
42C2×#6384C2211yescharacteristic
43C2×#6384C2211yescharacteristic
44C2×#6381C2211yescharacteristic
45C2×#6381C2211yescharacteristic
46#89723—21no—
47#89721—21no—
48#89707C2211yescharacteristic
49#89701C2211yescharacteristic
50#89700C2211yescharacteristic
51C2×C4⋊(C7⋊C8)C2211yescharacteristic
52C2×C4×C7⋊C8C2211yescharacteristic
53#89429—21no—
54#89426—21no—
55#89324C2211yescharacteristic
56#89324C2211yescharacteristic
57#89324C2211yescharacteristic
58#89324C2211yescharacteristic
59#89319C2211yescharacteristic
60#89319C2211yescharacteristic
61#24904—71nomaximal, Sylow
62C2×C7×#41—22no—
63C2×C7×#41—22no—
64C2×C7×#41—22no—
65C2×C7×#41—22no—
66C2×C7×#41—41no—
67C2×C7×#41—41no—
68C22×C7×Q8C2311yescharacteristic
69C22×C7×D4—21no—
70C22×C7×D4C2311yescharacteristic
71C23×C4×C7—21no—
72C23×C4×C7C2311yescharacteristic
73C22×Dic14C2311yescharacteristic
74C4×C7×Q8—22no—
75C4×C7×Q8—22no—
76C4×C7×Q8—41no—
77C4×C7×Q8—41no—
78C2×C7×C4⋊C4—21no—
79C2×C7×C4⋊C4—21no—
80C2×C7×C4⋊C4C2311yescharacteristic
81C2×C7×C4⋊C4C2311yescharacteristic
82C2×C7×C22⋊C4—21no—
83C2×C7×C22⋊C4—21no—
84C2×C7×C22⋊C4—21no—
85C2×C7×C22⋊C4—21no—
86C2×C7×C22⋊C4—21no—
87C2×C7×C22⋊C4D411yescharacteristic
88C2×C7×C22⋊C4D411yescharacteristic
89C2×C42×C7—21no—
90C2×C42×C7—21no—
91C2×C42×C7C2311yescharacteristic
92C2×C42×C7C2311yescharacteristic
93C2×C22⋊Dic7—21no—
94C2×C22⋊Dic7—21no—
95C2×#1144—22no—
96C2×#1144—22no—
97C2×#1144D414yes—
98C2×#1142—22no—
99C2×#1142—22no—
100C2×#1142—41no—
101C2×C4⋊Dic7—21no—
102C2×C4⋊Dic7—21no—
103C2×C4⋊Dic7C2311yescharacteristic
104C2×C4⋊Dic7C2311yescharacteristic
105C2×C4⋊Dic7C2311yescharacteristic
106#6487—22no—
107#6487—41no—
108C2×Dic7⋊C4—21no—
109C2×Dic7⋊C4—21no—
110C2×Dic7⋊C4—21no—
111C2×C4×Dic7—21no—
112C22×C7⋊C8C2311yescharacteristic
113C22×C7⋊C8C2311yescharacteristic
114C22×C7⋊C8C2311yescharacteristic
115C22×C7⋊C8C2311yescharacteristic
116C4×Dic14—22no—
117C4×Dic14—41no—
118C7×#95—21no—
119C7×#95D411yescharacteristic
120C7×#95D411yescharacteristic
121#6409—22no—
122#6409—22no—
123#6409—22no—
124#6406—22no—
125#6406—22no—
126#6406—41no—
127C7⋊#95—21no—
128C7⋊#95—21no—
129C7⋊#95—21no—
130C7⋊#95—21no—
131C22⋊(C7⋊C8)—22no—
132C22⋊(C7⋊C8)—41no—
133#6384—22no—
134#6384—41no—
135#6381—22no—
136#6381—41no—
137C4⋊(C7⋊C8)—41no—
138C4×C7⋊C8—22no—
139C2×#452—71no—
140C2×C4×Q16—71no—
141#2423—71no—
142#2341D711yescharacteristic
143#2093—71no—
144#2075—71no—
145#2055—71no—
146#2036—71no—
147#1934—71no—
148#1923—71no—
149#1880—71no—
150#1878—71no—
151#1863—71no—
152#1803—71no—
153#1788—71no—
154C24×C7—21no—
155C24×C7C2×D411yescharacteristic
156C7×#41—44no—
157C7×#41—44no—
158C7×#41—44no—
159C7×#41—44no—
160C2×C7×Q8—21no—
161C2×C7×Q8—21no—
162C2×C7×Q8—21no—
163C2×C7×Q8C2×D412yes—
164C2×C7×Q8#4112yes—
165C2×C7×Q8#4112yes—
166C2×C7×D4—24no—
167C2×C7×D4—21no—
168C2×C7×D4—21no—
169C2×C7×D4—21no—
170C2×C7×D4—21no—
171C2×C7×D4—21no—
172C2×C7×D4—42no—
173C2×C7×D4—42no—
174C2×C7×D4#4112yes—
175C22×C4×C7—21no—
176C22×C4×C7—24no—
177C22×C4×C7—21no—
178C22×C4×C7—21no—
179C22×C4×C7—21no—
180C22×C4×C7—21no—
181C22×C4×C7—21no—
182C22×C4×C7—21no—
183C22×C4×C7—21no—
184C22×C4×C7—21no—
185C22×C4×C7—42no—
186C22×C4×C7—42no—
187C22×C4×C7C2×D411yescharacteristic
188C22×C4×C7C2×D411yescharacteristic
189C22×C4×C7C2×D411yescharacteristic
190C22×C4×C7C2×D411yescharacteristic
191C22×C4×C7C2×D411yescharacteristic
192C22×C4×C7C2411yescharacteristic
193C22×Dic7—21no—
194C22×Dic7—21no—
195C22×Dic7—21no—
196C22×Dic7—21no—
197C2×Dic14—21no—
198C2×Dic14—21no—
199C2×Dic14—21no—
200C2×Dic14—21no—
201C2×Dic14—21no—
202C2×Dic14C2×D412yes—
203C7×C4⋊C4—21no—
204C7×C4⋊C4—21no—
205C7×C4⋊C4—21no—
206C7×C4⋊C4—21no—
207C7×C4⋊C4—42no—
208C7×C4⋊C4—42no—
209C7×C22⋊C4—22no—
210C7×C22⋊C4—22no—
211C7×C22⋊C4—42no—
212C7×C22⋊C4—42no—
213C7×C22⋊C4—81no—
214C7×C22⋊C4—81no—
215C7×C22⋊C4—81no—
216C42×C7—21no—
217C42×C7—21no—
218C42×C7—21no—
219C42×C7—21no—
220C42×C7—42no—
221C42×C7—42no—
222C22⋊Dic7—42no—
223C22⋊Dic7—81no—
224#1144—28no—
225#1142—44no—
226C4⋊Dic7—21no—
227C4⋊Dic7—21no—
228C4⋊Dic7—21no—
229C4⋊Dic7—21no—
230C4⋊Dic7—21no—
231C4⋊Dic7—21no—
232C4⋊Dic7—42no—
233C4⋊Dic7—81no—
234Dic7⋊C4—42no—
235Dic7⋊C4—42no—
236Dic7⋊C4—81no—
237C4×Dic7—42no—
238C2×C7⋊C8—21no—
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⋊C8C2×D412yes—
250C22×#41C2×D711yescharacteristic
251C22×Q16—71no—
252C22×SD16—71no—
253C2×C22⋊Q8—71no—
254C2×C4×Q8—71no—
255C2×C4×Q8C2×D711yescharacteristic
256C2×C4×Q8C2×D711yescharacteristic
257#452—144no—
258C4×Q16—144no—
259C2×#107—71no—
260C2×#107—71no—
261C2×C4⋊C8—71no—
262C2×#103—71no—
263C2×#103—71no—
264C2×#103—71no—
265C2×#103—71no—
266C2×#103—71no—
267C2×#102—71no—
268C2×#102—71no—
269C2×#102—71no—
270C2×C22⋊C8—71no—
271C2×C22⋊C8—71no—
272C2×C4×C8—71no—
273#399—141no—
274#398—141no—
275#391—71no—
276#390—21no—
277#390—21no—
278#390C2×D711yescharacteristic
279#390C2×D711yescharacteristic
280#389—71no—
281#388—141no—
282#387—141no—
283#384—71no—
284#380—21no—
285#380—71no—
286#380C2×D711yescharacteristic
287C4×C22⋊C4—21no—
288C4×C22⋊C4C2×D711yescharacteristic
289#340—71no—
290#340—71no—
291#340—71no—
292#340—71no—
293#336—71no—
294#336—71no—
295C23×C7—21no—
296C23×C7—22no—
297C23×C7—21no—
298C23×C7—21no—
299C23×C7—21no—
300C23×C7—21no—
301C23×C7—21no—
302C23×C7—21no—
303C23×C7—41no—
304C23×C7—41no—
305C23×C7—41no—
306C23×C7—41no—
307C23×C7—41no—
308C23×C7—41no—
309C23×C7C22×D411yescharacteristic
310C7×Q8—22no—
311C7×Q8—22no—
312C7×Q8—22no—
313C7×Q8#12314yes—
314C7×D4—22no—
315C7×D4—22no—
316C7×D4—48no—
317C7×D4—41no—
318C7×D4—41no—
319C2×C4×C7—22no—
320C2×C4×C7—21no—
321C2×C4×C7—22no—
322C2×C4×C7—21no—
323C2×C4×C7—22no—
324C2×C4×C7—21no—
325C2×C4×C7—21no—
326C2×C4×C7—21no—
327C2×C4×C7—21no—
328C2×C4×C7—21no—
329C2×C4×C7—21no—
330C2×C4×C7—21no—
331C2×C4×C7—21no—
332C2×C4×C7—21no—
333C2×C4×C7—21no—
334C2×C4×C7—21no—
335C2×C4×C7—48no—
336C2×C4×C7—41no—
337C2×C4×C7—41no—
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×C7#13512yes—
347C2×C4×C7#13712yes—
348C2×C4×C7C22×D411yescharacteristic
349C2×C4×C7C2×#4111yescharacteristic
350C2×C4×C7C2×#4111yescharacteristic
351C2×C4×C7C2×#4111yescharacteristic
352C2×C4×C7H(5,𝔽2)11yescharacteristic
353C2×C4×C7H(5,𝔽2)11yescharacteristic
354C2×Dic7—22no—
355C2×Dic7—41no—
356C2×Dic7—41no—
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—
366Dic14—22no—
367Dic14—22no—
368Dic14—41no—
369Dic14—41no—
370C7⋊C8—22no—
371C7⋊C8—41no—
372C7⋊C8—41no—
373C7⋊C8—41no—
374C2×#41—22no—
375C2×#41—22no—
376C2×#41—22no—
377C2×#41—22no—
378C2×#41—41no—
379C2×#41—41no—
380C22×Q8—71no—
381C22×Q8C22×D711yescharacteristic
382C22×D4—21no—
383C22×D4C22×D711yescharacteristic
384C23×C4—21no—
385C23×C4C22×D711yescharacteristic
386C2×Q16—74no—
387C2×Q16—142no—
388C2×Q16—142no—
389C2×SD16—142no—
390C2×SD16—142no—
391C2×SD16—281no—
392C22×C8—71no—
393C22×C8—71no—
394C22×C8—71no—
395C22×C8—71no—
396C22⋊Q8—142no—
397C22⋊Q8—281no—
398C4×Q8—22no—
399C4×Q8—22no—
400C4×Q8—41no—
401C4×Q8—41no—
402C4×Q8—142no—
403C4×Q8—281no—
404C2×C4⋊C4—21no—
405C2×C4⋊C4—21no—
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⋊C4—141no—
413C2×C4⋊C4—141no—
414C2×C4⋊C4C22×D711yescharacteristic
415C2×C4⋊C4C22×D711yescharacteristic
416C2×C22⋊C4—21no—
417C2×C22⋊C4—21no—
418C2×C22⋊C4—21no—
419C2×C22⋊C4—21no—
420C2×C22⋊C4—21no—
421C2×C22⋊C4—141no—
422C2×C22⋊C4—141no—
423C2×C22⋊C4C22⋊D711yescharacteristic
424C2×C22⋊C4C22⋊D711yescharacteristic
425C2×C42—21no—
426C2×C42—21no—
427C2×C42—141no—
428C2×C42C22×D711yescharacteristic
429C2×C42C22×D711yescharacteristic
430#107—142no—
431#107—281no—
432C4⋊C8—281no—
433#103—142no—
434#103—142no—
435#103—142no—
436#103—142no—
437#103—281no—
438#102—142no—
439#102—142no—
440#102—281no—
441C22⋊C8—142no—
442C22⋊C8—281no—
443C4×C8—142no—
444#95—21no—
445#95—141no—
446#95—141no—
447#95—141no—
448#95—141no—
449#95C22⋊D711yescharacteristic
450#95C22⋊D711yescharacteristic
451C22×C7—41no—
452C22×C7—41no—
453C22×C7—42no—
454C22×C7—41no—
455C22×C7—42no—
456C22×C7—42no—
457C22×C7—41no—
458C22×C7—41no—
459C22×C7—41no—
460C22×C7—41no—
461C22×C7—81no—
462C22×C7—81no—
463C22×C7—81no—
464C22×C7—81no—
465C22×C7#52511yescharacteristic
466C22×C7D4211yescharacteristic
467C22×C7#54611yescharacteristic
468C22×C7C2×#13511yescharacteristic
469C22×C7C2×#13711yescharacteristic
470C22×C7#57611yescharacteristic
471C22×C7#57811yescharacteristic
472C4×C7—24no—
473C4×C7—22no—
474C4×C7—22no—
475C4×C7—41no—
476C4×C7—41no—
477C4×C7—41no—
478C4×C7—81no—
479C4×C7—81no—
480C4×C7C2×#12311yescharacteristic
481C4×C7#53811yescharacteristic
482C4×C7#54611yescharacteristic
483C4×C7#55111yescharacteristic
484Dic7—42no—
485Dic7—81no—
486Dic7—81no—
487Dic7—81no—
488C24—21no—
489C24C2×C22⋊D711yescharacteristic
490#41—44no—
491#41—44no—
492#41—44no—
493#41—44no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—72no—
498C2×Q8—141no—
499C2×Q8—141no—
500C2×Q8—141no—
501C2×Q8—141no—
502C2×Q8—141no—
503C2×Q8#115712yes—
504C2×Q8D4×D712yes—
505C2×Q8#115912yes—
506C2×D4—24no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—42no—
513C2×D4—42no—
514C2×D4#115712yes—
515C22×C4—21no—
516C22×C4—24no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—141no—
528C22×C4—141no—
529C22×C4—141no—
530C22×C4—141no—
531C22×C4C2×C22⋊D711yescharacteristic
532C22×C4C2×C22⋊D711yescharacteristic
533C22×C4C2×C22⋊D711yescharacteristic
534C22×C4C2×C22⋊D711yescharacteristic
535C22×C4C2×C22⋊D711yescharacteristic
536C22×C4C23×D711yescharacteristic
537Q16—148no—
538SD16—284no—
539C2×C8—72no—
540C2×C8—141no—
541C2×C8—141no—
542C2×C8—141no—
543C2×C8—141no—
544C2×C8—141no—
545C2×C8—141no—
546C2×C8—141no—
547C2×C8—141no—
548C2×C8—141no—
549C2×C8—141no—
550C2×C8—141no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—42no—
556C4⋊C4—42no—
557C4⋊C4—141no—
558C4⋊C4—141no—
559C4⋊C4—141no—
560C4⋊C4—141no—
561C4⋊C4—141no—
562C4⋊C4—141no—
563C4⋊C4—282no—
564C4⋊C4—282no—
565C4⋊C4—282no—
566C4⋊C4—561no—
567C4⋊C4—561no—
568C22⋊C4—22no—
569C22⋊C4—22no—
570C22⋊C4—42no—
571C22⋊C4—42no—
572C22⋊C4—81no—
573C22⋊C4—81no—
574C22⋊C4—81no—
575C22⋊C4—282no—
576C22⋊C4—561no—
577C42—21no—
578C42—21no—
579C42—21no—
580C42—21no—
581C42—42no—
582C42—42no—
583C42—282no—
584C2×C7—81no—
585C2×C7—82no—
586C2×C7#241811yescharacteristic
587C2×C7#310711yescharacteristic
588C2×C7#312411yescharacteristic
589C2×C7#327011yescharacteristic
590C2×C7#328711yescharacteristic
591C2×C7#330011yescharacteristic
592C2×C7#333311yescharacteristic
593C23—21no—
594C23—22no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23C22×C22⋊D711yescharacteristic
608Q8—22no—
609Q8—22no—
610Q8—22no—
611Q8—142no—
612Q8—142no—
613Q8—281no—
614Q8—281no—
615Q8#644614yes—
616D4—22no—
617D4—22no—
618D4—48no—
619D4—41no—
620D4—41no—
621C2×C4—22no—
622C2×C4—21no—
623C2×C4—22no—
624C2×C4—21no—
625C2×C4—22no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—48no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—142no—
649C2×C4—281no—
650C2×C4—281no—
651C2×C4—281no—
652C2×C4—281no—
653C2×C4—281no—
654C2×C4—281no—
655C2×C4—281no—
656C2×C4—281no—
657C2×C4—281no—
658C2×C4—281no—
659C2×C4—281no—
660C2×C4#651312yes—
661C2×C4#651412yes—
662C2×C4C2×#115711yescharacteristic
663C2×C4C2×#115711yescharacteristic
664C2×C4C2×D4×D711yescharacteristic
665C2×C4C2×#115911yescharacteristic
666C2×C4#654811yescharacteristic
667C2×C4#654811yescharacteristic
668C8—142no—
669C8—281no—
670C8—281no—
671C8—281no—
672C7#2490411yescharacteristic, complemented, Sylow
673C22—41no—
674C22—41no—
675C22—41no—
676C22—42no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—42no—
681C22—42no—
682C22—41no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—81no—
687C22#9048211yescharacteristic
688C22D4×C22⋊D711yescharacteristic
689C22#9049711yescharacteristic
690C22C2×#651311yescharacteristic
691C22C2×#651411yescharacteristic
692C22#9052611yescharacteristic
693C22#9052911yescharacteristic
694C4—22no—
695C4—22no—
696C4—24no—
697C4—41no—
698C4—41no—
699C4—41no—
700C4—81no—
701C4—81no—
702C4—282no—
703C4—561no—
704C4—561no—
705C4—561no—
706C4C2×#644611yescharacteristic
707C4#9018111yescharacteristic
708C4#9018511yescharacteristic
709C4#9018611yescharacteristic
710C2—81no—
711C2—82no—
712C2#1173957311yescharacteristic
713C2#1173997911yescharacteristic
714C2#1174001411yescharacteristic
715C2#1174097911yescharacteristic
716C2#1174099111yescharacteristic
717C2#1174102011yescharacteristic
718C2#1174103011yescharacteristic
subgroupG/H
centerC23C22×C22⋊D7
commutator, cosocleC22×C4×C7C24
FrattiniC22×C4C23×D7
FittingC7×#2341C2
socleC23×C7C22×D4
prime radicalC22×C7×#41C22
hypercenter#2341D7
hypocenterC7#24904
LCSG ▷ C22×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2341

Complements

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

NH ≅ G/Ntype
3. C2×C4×#1144C2semidirect
4. #11730929C2semidirect
6. #11729386C2semidirect
7. #11729382C2semidirect
8. #11729380C2semidirect
9. #11727414C2semidirect
10. #11727409C2semidirect
11. #11727405C2semidirect
12. #11727398C2semidirect
13. #11727281C2semidirect
14. #11727272C2semidirect
15. #11727205C2semidirect
672. C7#24904semidirect

Maximal subgroups

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

subgroupindex
C7×#23412
C2×#900112
C2×C4×#11442
#117309292
#117298892
#117293862
#117293822
#117293802
#117274142
#117274092
#117274052
#117273982
#117272812
#117272722
#117272052
#249047