Finite Group Databasebeta

← #13360204

Subgroups — #13360204

Order 1792.

1044 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2328C211yesmaximal, characteristic
2C2×#89847C211yesmaximal, characteristic
3C2×C4×#1142C211yesmaximal, characteristic, complemented
4C2×#89790C211yesmaximal, characteristic, complemented
5#11730828C211yesmaximal, characteristic, complemented
6#11729515C211yesmaximal, characteristic
7#11729363C211yesmaximal, characteristic, complemented
8C4×#6406C211yesmaximal, characteristic, complemented
9#11727414C211yesmaximal, characteristic, complemented
10#11727414C211yesmaximal, characteristic, complemented
11#11727391C211yesmaximal, characteristic, complemented
12#11727390C211yesmaximal, characteristic, complemented
13#11727313C211yesmaximal, characteristic, complemented
14#11727294C211yesmaximal, characteristic, complemented
15#11727190C211yesmaximal, characteristic, complemented
16C2×C7×#127C2211yescharacteristic
17C2×C4×C7×D4C2211yescharacteristic
18C2×C4×C7×D4C2211yescharacteristic
19C22×#1142C2211yescharacteristic
20C22×#1142C2211yescharacteristic
21C2×C4×Dic14C2211yescharacteristic
22C2×C4×Dic14C2211yescharacteristic
23C2×C4×Dic14C2211yescharacteristic
24C7×#390C2211yescharacteristic
25C7×#390C2211yescharacteristic
26C7×#386—21no—
27C7×#386—21no—
28C7×#386—21no—
29C7×#386—21no—
30C7×#382C2211yescharacteristic
31C7×#376C2211yescharacteristic
32C2×#6406C2211yescharacteristic
33C2×#6406C2211yescharacteristic
34C2×#6406C2211yescharacteristic
35C2×#6406C2211yescharacteristic
36C2×#6406C2211yescharacteristic
37C2×#6406C2211yescharacteristic
38#89847C418yescomplemented
39#89790—24no—
40C4×#1142—24no—
41C2×#6384C2211yescharacteristic
42C2×#6384C2211yescharacteristic
43C2×#6382C2211yescharacteristic
44C2×#6381C2211yescharacteristic
45C4×C4⋊Dic7C2211yescharacteristic
46C4×C4⋊Dic7C2211yescharacteristic
47C4×C4⋊Dic7C2211yescharacteristic
48C2×C4⋊(C7⋊C8)C2211yescharacteristic
49C2×C4⋊(C7⋊C8)C2211yescharacteristic
50C2×#6377C2211yescharacteristic
51C2×C4×C7⋊C8C2211yescharacteristic
52#89421—21no—
53#89421—21no—
54#89421—21no—
55#89420—21no—
56#89324C2211yescharacteristic
57#89324C2211yescharacteristic
58#89324C2211yescharacteristic
59#89324C2211yescharacteristic
60#89319C2211yescharacteristic
61#89319C2211yescharacteristic
62#21515—71nomaximal, Sylow
63C22×C7×D4—21no—
64C22×C7×D4—21no—
65C22×C7×D4C2311yescharacteristic
66C22×C7×D4C2311yescharacteristic
67C23×C4×C7—21no—
68C23×C4×C7—21no—
69C22×Dic14C2311yescharacteristic
70C7×#127—22no—
71C7×#127C2×C414yes—
72C4×C7×D4—22no—
73C4×C7×D4—22no—
74C4×C7×D4—22no—
75C4×C7×D4—22no—
76C2×C7×C4⋊C4C2311yescharacteristic
77C2×C7×C4⋊C4C2311yescharacteristic
78C2×C7×C22⋊C4—21no—
79C2×C7×C22⋊C4—21no—
80C2×C7×C22⋊C4—21no—
81C2×C7×C22⋊C4—21no—
82C2×C7×C22⋊C4—21no—
83C2×C7×C22⋊C4—21no—
84C2×C42×C7C2311yescharacteristic
85C2×C42×C7C2311yescharacteristic
86C2×C42×C7C2311yescharacteristic
87C2×#1142—22no—
88C2×#1142—22no—
89C2×#1142—22no—
90C2×#1142—22no—
91C2×#1142C2×C414yescomplemented
92C2×#1142C2×C414yescomplemented
93C2×C4⋊Dic7C2311yescharacteristic
94C2×C4⋊Dic7C2311yescharacteristic
95C2×C4⋊Dic7C2311yescharacteristic
96C2×Dic7⋊C4—21no—
97C2×Dic7⋊C4—21no—
98C2×Dic7⋊C4—21no—
99C2×C4×Dic7—21no—
100C2×C4×Dic7—21no—
101C2×C4×Dic7—21no—
102C2×C4×Dic7—21no—
103C2×C4×Dic7—21no—
104C2×C4×Dic7—21no—
105C22×C7⋊C8C2311yescharacteristic
106C22×C7⋊C8C2311yescharacteristic
107C22×C7⋊C8C2311yescharacteristic
108C22×C7⋊C8C2311yescharacteristic
109C4×Dic14—22no—
110C4×Dic14—22no—
111C4×Dic14—22no—
112C4×Dic14—22no—
113C4×Dic14C2×C414yescomplemented
114C4×Dic14D414yescomplemented
115C7×#95—21no—
116C7×#95—21no—
117C7×#95D411yescharacteristic
118C7×#95D411yescharacteristic
119C7×#95D411yescharacteristic
120C7×#95D411yescharacteristic
121#6406—22no—
122#6406—22no—
123#6406—22no—
124#6406—22no—
125#6406C2×C414yescomplemented
126#6406C2×C414yescomplemented
127C7⋊#95—21no—
128C7⋊#95—21no—
129C7⋊#95—21no—
130#6384—22no—
131#6384—22no—
132#6382—22no—
133#6381—22no—
134C4⋊(C7⋊C8)—22no—
135C4⋊(C7⋊C8)C2×C414yescomplemented
136#6377—22no—
137C4×C7⋊C8—22no—
138C2×#460—71no—
139C2×#440—71no—
140C2×C4×SD16—71no—
141#2328D711yescharacteristic
142#2276—71no—
143#1982—71no—
144#1949—71no—
145#1926—71no—
146#1925—71no—
147#1880—71no—
148#1880—71no—
149#1805—71no—
150#1768—71no—
151#1762—71no—
152C4×#102—71no—
153C24×C7—21no—
154C24×C7—21no—
155C2×C7×D4—24no—
156C2×C7×D4—24no—
157C2×C7×D4—21no—
158C2×C7×D4—21no—
159C2×C7×D4—21no—
160C2×C7×D4—21no—
161C2×C7×D4—21no—
162C2×C7×D4—21no—
163C2×C7×D4—21no—
164C2×C7×D4—21no—
165C2×C7×D4—21no—
166C2×C7×D4—21no—
167C2×C7×D4—81no—
168C2×C7×D4—81no—
169C2×C7×D4—81no—
170C2×C7×D4—81no—
171C2×C7×D4C22×C412yes—
172C2×C7×D4C22×C412yes—
173C22×C4×C7—21no—
174C22×C4×C7—21no—
175C22×C4×C7—42no—
176C22×C4×C7—42no—
177C22×C4×C7—81no—
178C22×C4×C7—81no—
179C22×C4×C7—81no—
180C22×C4×C7—81no—
181C22×C4×C7C2×D411yescharacteristic
182C22×C4×C7C2×D411yescharacteristic
183C22×C4×C7C2×D411yescharacteristic
184C22×C4×C7C2×D411yescharacteristic
185C22×C4×C7C2×D411yescharacteristic
186C22×C4×C7C2×D411yescharacteristic
187C22×C4×C7C2411yescharacteristic
188C22×Dic7—21no—
189C22×Dic7—21no—
190C22×Dic7—21no—
191C22×Dic7—21no—
192C2×Dic14—21no—
193C2×Dic14—21no—
194C2×Dic14—21no—
195C2×Dic14C22×C412yes—
196C2×Dic14C2×D412yes—
197C2×Dic14#4112yes—
198C7×C4⋊C4—21no—
199C7×C4⋊C4—21no—
200C7×C4⋊C4—21no—
201C7×C4⋊C4—21no—
202C7×C22⋊C4—42no—
203C7×C22⋊C4—42no—
204C7×C22⋊C4—81no—
205C7×C22⋊C4—81no—
206C7×C22⋊C4—81no—
207C7×C22⋊C4—81no—
208C42×C7—21no—
209C42×C7—21no—
210C42×C7C22×C412yes—
211C42×C7C2×D412yes—
212C42×C7#4112yes—
213C42×C7#4112yes—
214#1142—28no—
215#1142—28no—
216C4⋊Dic7—21no—
217C4⋊Dic7—21no—
218C4⋊Dic7—21no—
219C4⋊Dic7C22×C412yes—
220C4⋊Dic7C2×D412yes—
221C4⋊Dic7#4112yes—
222Dic7⋊C4—24no—
223Dic7⋊C4—24no—
224Dic7⋊C4—24no—
225C4×Dic7—24no—
226C4×Dic7—24no—
227C4×Dic7—24no—
228C4×Dic7—81no—
229C4×Dic7—81no—
230C4×Dic7—81no—
231C2×C7⋊C8—21no—
232C2×C7⋊C8—21no—
233C2×C7⋊C8—21no—
234C2×C7⋊C8—21no—
235C2×C7⋊C8—21no—
236C2×C7⋊C8—21no—
237C2×C7⋊C8—21no—
238C2×C7⋊C8—21no—
239C2×C7⋊C8—21no—
240C2×C7⋊C8—21no—
241C2×C7⋊C8C22×C412yes—
242C2×C7⋊C8C22×C412yes—
243C22×SD16—71no—
244C22×SD16—71no—
245C2×#127C2×D711yescharacteristic
246C2×C4×Q8—71no—
247C2×C4×Q8—71no—
248C2×C4×Q8—71no—
249C2×C4×D4C2×D711yescharacteristic
250C2×C4×D4C2×D711yescharacteristic
251#460—78no—
252#440—144no—
253C4×SD16—144no—
254C2×#107—71no—
255C2×#106—71no—
256C2×C4⋊C8—71no—
257C2×C4⋊C8—71no—
258C2×#103—71no—
259C2×#103—71no—
260C2×#102—71no—
261C2×#102—71no—
262C2×#102—71no—
263C2×#102—71no—
264C2×#102—71no—
265C2×#102—71no—
266C2×#97—71no—
267C2×C4×C8—71no—
268#390C2×D711yescharacteristic
269#390C2×D711yescharacteristic
270#386—21no—
271#386—21no—
272#386—21no—
273#386—21no—
274#382C2×D711yescharacteristic
275C4×C4⋊C4—71no—
276C4×C4⋊C4—71no—
277C4×C4⋊C4—71no—
278C4×C4⋊C4—141no—
279C4×C4⋊C4—141no—
280C4×C4⋊C4—141no—
281#376—141no—
282#376C2×D711yescharacteristic
283#340—71no—
284#340—71no—
285#340—71no—
286#340—71no—
287#336—71no—
288#336—71no—
289C23×C7—22no—
290C23×C7—22no—
291C23×C7—41no—
292C23×C7—41no—
293C23×C7—41no—
294C23×C7—41no—
295C23×C7—41no—
296C23×C7—41no—
297C23×C7—41no—
298C23×C7—41no—
299C23×C7—41no—
300C23×C7—41no—
301C23×C7—41no—
302C23×C7—41no—
303C23×C7C22×D411yescharacteristic
304C7×D4—22no—
305C7×D4—22no—
306C7×D4—22no—
307C7×D4—22no—
308C7×D4—41no—
309C7×D4—41no—
310C7×D4—41no—
311C7×D4—41no—
312C7×D4—84no—
313C7×D4—84no—
314C2×C4×C7—21no—
315C2×C4×C7—21no—
316C2×C4×C7—21no—
317C2×C4×C7—21no—
318C2×C4×C7—21no—
319C2×C4×C7—21no—
320C2×C4×C7—21no—
321C2×C4×C7—21no—
322C2×C4×C7—21no—
323C2×C4×C7—21no—
324C2×C4×C7—21no—
325C2×C4×C7—21no—
326C2×C4×C7—21no—
327C2×C4×C7—21no—
328C2×C4×C7—41no—
329C2×C4×C7—41no—
330C2×C4×C7—41no—
331C2×C4×C7—41no—
332C2×C4×C7—41no—
333C2×C4×C7—41no—
334C2×C4×C7—84no—
335C2×C4×C7—84no—
336C2×C4×C7C4×D412yes—
337C2×C4×C7C4×D412yes—
338C2×C4×C7#12112yes—
339C2×C4×C7#12112yes—
340C2×C4×C7C23×C411yescharacteristic
341C2×C4×C7C22×D411yescharacteristic
342C2×C4×C7C2×#4111yescharacteristic
343C2×C4×C7C2×#4111yescharacteristic
344C2×C4×C7C2×#4111yescharacteristic
345C2×C4×C7C2×#4111yescharacteristic
346C2×Dic7—22no—
347C2×Dic7—22no—
348C2×Dic7—22no—
349C2×Dic7—22no—
350C2×Dic7—22no—
351C2×Dic7—22no—
352C2×Dic7—41no—
353C2×Dic7—41no—
354C2×Dic7—41no—
355C2×Dic7—41no—
356C2×Dic7—41no—
357C2×Dic7—41no—
358Dic14—22no—
359Dic14—22no—
360Dic14—22no—
361Dic14C4×D414yes—
362C7⋊C8—22no—
363C7⋊C8—22no—
364C7⋊C8—41no—
365C7⋊C8—41no—
366C22×Q8—71no—
367C22×D4—21no—
368C22×D4—21no—
369C22×D4C22×D711yescharacteristic
370C22×D4C22×D711yescharacteristic
371C23×C4—21no—
372C23×C4—21no—
373C2×SD16—74no—
374C2×SD16—74no—
375C2×SD16—142no—
376C2×SD16—142no—
377C2×SD16—142no—
378C2×SD16—142no—
379C22×C8—71no—
380C22×C8—71no—
381C22×C8—71no—
382C22×C8—71no—
383#127—22no—
384#127C4×D714yes—
385C4×Q8—74no—
386C4×Q8—74no—
387C4×Q8—142no—
388C4×Q8—142no—
389C4×Q8—142no—
390C4×Q8—142no—
391C4×D4—22no—
392C4×D4—22no—
393C4×D4—22no—
394C4×D4—22no—
395C2×C4⋊C4—71no—
396C2×C4⋊C4—71no—
397C2×C4⋊C4—71no—
398C2×C4⋊C4—141no—
399C2×C4⋊C4—141no—
400C2×C4⋊C4—141no—
401C2×C4⋊C4C22×D711yescharacteristic
402C2×C4⋊C4C22×D711yescharacteristic
403C2×C22⋊C4—21no—
404C2×C22⋊C4—21no—
405C2×C22⋊C4—21no—
406C2×C22⋊C4—21no—
407C2×C22⋊C4—21no—
408C2×C22⋊C4—21no—
409C2×C42—141no—
410C2×C42—141no—
411C2×C42—141no—
412C2×C42—141no—
413C2×C42—141no—
414C2×C42—141no—
415C2×C42C22×D711yescharacteristic
416C2×C42C22×D711yescharacteristic
417C2×C42C22×D711yescharacteristic
418#107—142no—
419#106—142no—
420C4⋊C8—74no—
421C4⋊C8—142no—
422#103—142no—
423#103—142no—
424#102—74no—
425#102—74no—
426#102—142no—
427#102—142no—
428#102—142no—
429#102—142no—
430#97—142no—
431C4×C8—142no—
432#95—21no—
433#95—21no—
434#95—141no—
435#95—141no—
436#95—141no—
437#95C22⋊D711yescharacteristic
438#95C22⋊D711yescharacteristic
439#95C22⋊D711yescharacteristic
440#95C22⋊D711yescharacteristic
441C22×C7—42no—
442C22×C7—42no—
443C22×C7—42no—
444C22×C7—42no—
445C22×C7—42no—
446C22×C7—42no—
447C22×C7—81no—
448C22×C7—81no—
449C22×C7—81no—
450C22×C7—81no—
451C22×C7—81no—
452C22×C7—81no—
453C22×C7—81no—
454C22×C7—81no—
455C22×C7C2×C4×D411yescharacteristic
456C22×C7C2×#12111yescharacteristic
457C22×C7#52511yescharacteristic
458C22×C7#57611yescharacteristic
459C22×C7#57711yescharacteristic
460C22×C7#57711yescharacteristic
461C22×C7#57711yescharacteristic
462C4×C7—22no—
463C4×C7—22no—
464C4×C7—22no—
465C4×C7—22no—
466C4×C7—41no—
467C4×C7—41no—
468C4×C7—81no—
469C4×C7—81no—
470C4×C7C2×C4×D411yescharacteristic
471C4×C7C4×#4111yescharacteristic
472C4×C7#52911yescharacteristic
473C4×C7#53211yescharacteristic
474Dic7—24no—
475Dic7—42no—
476Dic7—42no—
477Dic7—42no—
478C24—21no—
479C24—21no—
480C2×Q8—72no—
481C2×Q8—72no—
482C2×Q8—72no—
483C2×Q8—141no—
484C2×Q8—141no—
485C2×Q8—141no—
486C2×D4—24no—
487C2×D4—24no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—81no—
499C2×D4—81no—
500C2×D4—81no—
501C2×D4—81no—
502C2×D4C2×C4×D712yes—
503C2×D4C2×C4×D712yes—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—81no—
509C22×C4—81no—
510C22×C4—81no—
511C22×C4—81no—
512C22×C4—141no—
513C22×C4—141no—
514C22×C4—141no—
515C22×C4—141no—
516C22×C4C2×C22⋊D711yescharacteristic
517C22×C4C2×C22⋊D711yescharacteristic
518C22×C4C2×C22⋊D711yescharacteristic
519C22×C4C2×C22⋊D711yescharacteristic
520C22×C4C2×C22⋊D711yescharacteristic
521C22×C4C2×C22⋊D711yescharacteristic
522C22×C4C23×D711yescharacteristic
523SD16—148no—
524SD16—148no—
525C2×C8—72no—
526C2×C8—72no—
527C2×C8—141no—
528C2×C8—141no—
529C2×C8—141no—
530C2×C8—141no—
531C2×C8—141no—
532C2×C8—141no—
533C2×C8—141no—
534C2×C8—141no—
535C2×C8—141no—
536C2×C8—141no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—72no—
542C4⋊C4—72no—
543C4⋊C4—72no—
544C4⋊C4—144no—
545C4⋊C4—144no—
546C4⋊C4—144no—
547C4⋊C4—141no—
548C4⋊C4—141no—
549C4⋊C4—141no—
550C22⋊C4—42no—
551C22⋊C4—42no—
552C22⋊C4—81no—
553C22⋊C4—81no—
554C22⋊C4—81no—
555C22⋊C4—81no—
556C42—21no—
557C42—21no—
558C42—144no—
559C42—144no—
560C42—144no—
561C42—561no—
562C42—561no—
563C42—561no—
564C42C2×C4×D712yes—
565C42#115712yes—
566C42D4×D712yes—
567C42#115912yes—
568C2×C7—82no—
569C2×C7—82no—
570C2×C7C4×#12111yescharacteristic
571C2×C7#294611yescharacteristic
572C2×C7#294911yescharacteristic
573C2×C7#304311yescharacteristic
574C2×C7#304511yescharacteristic
575C2×C7#311911yescharacteristic
576C2×C7#312611yescharacteristic
577C23—22no—
578C23—22no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23C22×C22⋊D711yescharacteristic
592Q8—74no—
593Q8—142no—
594Q8—142no—
595Q8—142no—
596D4—22no—
597D4—22no—
598D4—22no—
599D4—22no—
600D4—41no—
601D4—41no—
602D4—41no—
603D4—41no—
604D4—84no—
605D4—84no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—84no—
627C2×C4—84no—
628C2×C4—142no—
629C2×C4—142no—
630C2×C4—142no—
631C2×C4—142no—
632C2×C4—142no—
633C2×C4—142no—
634C2×C4—281no—
635C2×C4—281no—
636C2×C4—281no—
637C2×C4—281no—
638C2×C4—281no—
639C2×C4—281no—
640C2×C4C4×C22⋊D712yes—
641C2×C4C4×C22⋊D712yes—
642C2×C4#650112yes—
643C2×C4#650112yes—
644C2×C4C22×C4×D711yescharacteristic
645C2×C4C2×#115711yescharacteristic
646C2×C4C2×D4×D711yescharacteristic
647C2×C4C2×#115911yescharacteristic
648C2×C4D7×#4111yescharacteristic
649C2×C4D7×#4111yescharacteristic
650C8—142no—
651C8—142no—
652C8—281no—
653C8—281no—
654C7#2151511yescharacteristic, complemented, Sylow
655C22—42no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—81no—
662C22—81no—
663C22—81no—
664C22—81no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—81no—
669C22C2×C4×C22⋊D711yescharacteristic
670C22C2×#650111yescharacteristic
671C22#9051911yescharacteristic
672C22#9052611yescharacteristic
673C22#9052711yescharacteristic
674C22#9052711yescharacteristic
675C22#9052711yescharacteristic
676C4—22no—
677C4—22no—
678C4—22no—
679C4—22no—
680C4—41no—
681C4—41no—
682C4—81no—
683C4—81no—
684C4—144no—
685C4—282no—
686C4—282no—
687C4—282no—
688C4C4×#115911yescharacteristic
689C4C4×D4×D711yescharacteristic
690C4#9023911yescharacteristic
691C4#9024811yescharacteristic
692C2—82no—
693C2—82no—
694C2C4×#650111yescharacteristic
695C2#1173998211yescharacteristic
696C2#1173998811yescharacteristic
697C2#1174083011yescharacteristic
698C2#1174083611yescharacteristic
699C2#1174087911yescharacteristic
700C2#1174088411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D7
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
FittingC7×#2328C2
socleC23×C7C22×D4
prime radicalC2×C7×#127C22
cosocleC22×C4×C7C24
hypercenter#2328D7
hypocenterC7#21515
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ #376 ◁ #2328

Complements

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

NH ≅ G/Ntype
3. C2×C4×#1142C2semidirect
4. C2×#89790C2semidirect
5. #11730828C2semidirect
7. #11729363C2semidirect
8. C4×#6406C2semidirect
9. #11727414C2semidirect
10. #11727414C2semidirect
11. #11727391C2semidirect
12. #11727390C2semidirect
13. #11727313C2semidirect
14. #11727294C2semidirect
15. #11727190C2semidirect
38. #89847C4semidirect
91. C2×#1142C2×C4semidirect
92. C2×#1142C2×C4semidirect
113. C4×Dic14C2×C4semidirect
114. C4×Dic14D4semidirect
125. #6406C2×C4semidirect
126. #6406C2×C4semidirect
135. C4⋊(C7⋊C8)C2×C4semidirect
654. C7#21515semidirect

Maximal subgroups

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

subgroupindex
C7×#23282
C2×#898472
C2×C4×#11422
C2×#897902
#117308282
#117295152
#117293632
C4×#64062
#117274142
#117273912
#117273902
#117273132
#117272942
#117271902
#215157