Finite Group Databasebeta

← #13363764

Subgroups — #13363764

Order 1792.

1078 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×#90225C211yesmaximal, characteristic
2C7×#2314C211yesmaximal, characteristic, complemented
3C2×#89771C211yesmaximal, characteristic, complemented
4#11727342C211yesmaximal, characteristic, complemented
5#11727338C211yesmaximal, characteristic, complemented
6#11727313C211yesmaximal, characteristic, complemented
7#11727310C211yesmaximal, characteristic, complemented
8#11727271C211yesmaximal, characteristic
9#11727270C211yesmaximal, characteristic, complemented
10#11727269C211yesmaximal, characteristic
11#11727268C211yesmaximal, characteristic, complemented
12#11727244C211yesmaximal, characteristic, complemented
13#11727243C211yesmaximal, characteristic, complemented
14#11727242C211yesmaximal, characteristic, complemented
15#11727242C211yesmaximal, characteristic, complemented
16C2×C7×#117C2211yescharacteristic
17C2×#6493C2211yescharacteristic
18C2×#6487C2211yescharacteristic
19C22×#1136C2211yescharacteristic
20C23×C7⋊C8C2211yescharacteristic
21#90225—24no—
22#90225C418yescomplemented
23C2×#6461—21no—
24C2×#6459—21no—
25C2×#6448—21no—
26C2×#6446—21no—
27C2×#6438C2211yescharacteristic
28C2×C4×D28C2211yescharacteristic
29C2×#6432C2211yescharacteristic
30C2×C4×Dic14C2211yescharacteristic
31C7×#388—21no—
32C7×#388—21no—
33C7×#387—21no—
34C7×#387—21no—
35C7×#384C2211yescharacteristic
36C7×#382C2211yescharacteristic
37C7×#380C2211yescharacteristic
38C7×#380C2211yescharacteristic
39C4×C7×C4⋊C4C2211yescharacteristic
40C4×C7×C4⋊C4C2211yescharacteristic
41#89771—24no—
42C2×#6384C2211yescharacteristic
43C2×#6384C2211yescharacteristic
44C2×#6384C2211yescharacteristic
45C2×#6384C2211yescharacteristic
46C2×#6383C2211yescharacteristic
47C2×#6383C2211yescharacteristic
48C2×#6383C2211yescharacteristic
49C2×#6383C2211yescharacteristic
50C2×C4⋊(C7⋊C8)C2211yescharacteristic
51C2×C4⋊(C7⋊C8)C2211yescharacteristic
52C2×C4⋊(C7⋊C8)C2211yescharacteristic
53C2×C4⋊(C7⋊C8)C2211yescharacteristic
54#89324C2211yescharacteristic
55#89324C2211yescharacteristic
56#89324C2211yescharacteristic
57#89324C2211yescharacteristic
58#89324C2211yescharacteristic
59#89324C2211yescharacteristic
60#89324C2211yescharacteristic
61#89324C2211yescharacteristic
62#21896—71nomaximal, Sylow
63C23×C4×C7C2311yescharacteristic
64C22×C22⋊D7—21no—
65C22×D28C2311yescharacteristic
66C22×C4×D7—21no—
67C22×Dic14—21no—
68C22×Dic14C2311yescharacteristic
69C7×#117C2×C414yes—
70C7×#117D414yes—
71C2×C7×C4⋊C4—21no—
72C2×C7×C4⋊C4—21no—
73C2×C7×C4⋊C4D411yescharacteristic
74C2×C7×C4⋊C4D411yescharacteristic
75C2×C7×C4⋊C4C2311yescharacteristic
76C2×C7×C4⋊C4C2311yescharacteristic
77C2×C7×C4⋊C4C2311yescharacteristic
78C2×C7×C4⋊C4C2311yescharacteristic
79C2×C7×C22⋊C4—21no—
80C2×C7×C22⋊C4—21no—
81C2×C7×C22⋊C4D411yescharacteristic
82C2×C7×C22⋊C4D411yescharacteristic
83C2×C42×C7—21no—
84C2×C42×C7—21no—
85C2×C42×C7C2311yescharacteristic
86C2×C42×C7C2311yescharacteristic
87C2×C22⋊Dic7—21no—
88#6493—22no—
89#6493C2×C414yes—
90C2×(C2×D7)⋊C4—21no—
91C2×(C2×D7)⋊C4—21no—
92C2×(C2×D7)⋊C4—21no—
93C2×(C2×D7)⋊C4—21no—
94C2×C4⋊Dic7—21no—
95C2×C4⋊Dic7C2311yescharacteristic
96C2×C4⋊Dic7C2311yescharacteristic
97#6487—22no—
98#6487C2×C414yes—
99C2×Dic7⋊C4—21no—
100C2×Dic7⋊C4—21no—
101C2×C4×Dic7—21no—
102C2×#1136—22no—
103C2×#1136—41no—
104C2×#1136—41no—
105C22×C7⋊C8—22no—
106C22×C7⋊C8—41no—
107C22×C7⋊C8—41no—
108C22×C7⋊C8C2311yescharacteristic
109C22×C7⋊C8C2311yescharacteristic
110C22×C7⋊C8C2311yescharacteristic
111C22×C7⋊C8C2311yescharacteristic
112#6461—28no—
113#6459—28no—
114#6448—28no—
115#6446—28no—
116#6438—22no—
117#6438C2×C414yes—
118C4×D28—22no—
119C4×D28C2×C414yes—
120#6432—22no—
121#6432C2×C414yes—
122C4×Dic14—22no—
123C4×Dic14C2×C414yes—
124C7×#95—21no—
125C7×#95—21no—
126C7×#95—21no—
127C7×#95—21no—
128C7×#95—21no—
129C7×#95—21no—
130#6384—41no—
131#6384—41no—
132#6384—41no—
133#6384—41no—
134#6383—41no—
135#6383—41no—
136#6383—41no—
137#6383—41no—
138C4⋊(C7⋊C8)—22no—
139C4⋊(C7⋊C8)—22no—
140C4⋊(C7⋊C8)—22no—
141C4⋊(C7⋊C8)—22no—
142C2×#542—71no—
143C2×#424—71no—
144#2314D711yescharacteristic, complemented
145#1988—71no—
146#1987—71no—
147#1983—71no—
148#1983—71no—
149#1895—71no—
150#1894—71no—
151#1893—71no—
152#1892—71no—
153#1805—71no—
154#1804—71no—
155#1803—71no—
156#1802—71no—
157C24×C7C2×D411yescharacteristic
158C23×D7—21no—
159C22×C4×C7—21no—
160C22×C4×C7—21no—
161C22×C4×C7—21no—
162C22×C4×C7—21no—
163C22×C4×C7—21no—
164C22×C4×C7—21no—
165C22×C4×C7—21no—
166C22×C4×C7—21no—
167C22×C4×C7C22×C412yes—
168C22×C4×C7C2×D411yescharacteristic
169C22×C4×C7C2×D411yescharacteristic
170C22×C4×C7C2×D411yescharacteristic
171C22×C4×C7C2×D411yescharacteristic
172C22×C4×C7C2×D411yescharacteristic
173C22×C4×C7C2×D412yes—
174C22×C4×C7C2411yescharacteristic
175C2×C22⋊D7—24no—
176C2×C22⋊D7—81no—
177C2×C22⋊D7—81no—
178C22×Dic7—21no—
179C22×Dic7—21no—
180C22×Dic7—21no—
181C2×D28—21no—
182C2×D28—21no—
183C2×D28—21no—
184C2×D28—21no—
185C2×D28—21no—
186C2×D28C22×C412yes—
187C2×C4×D7—24no—
188C2×C4×D7—81no—
189C2×C4×D7—81no—
190C2×Dic14—21no—
191C2×Dic14—21no—
192C2×Dic14—21no—
193C2×Dic14—21no—
194C2×Dic14—21no—
195C2×Dic14—24no—
196C2×Dic14—81no—
197C2×Dic14—81no—
198C2×Dic14C22×C412yes—
199C7×C4⋊C4—21no—
200C7×C4⋊C4—21no—
201C7×C4⋊C4—21no—
202C7×C4⋊C4—21no—
203C7×C4⋊C4—21no—
204C7×C4⋊C4—21no—
205C7×C4⋊C4—21no—
206C7×C4⋊C4—21no—
207C7×C4⋊C4—81no—
208C7×C4⋊C4—81no—
209C7×C4⋊C4C22⋊C414yes—
210C7×C4⋊C4C22⋊C414yes—
211C7×C22⋊C4—81no—
212C7×C22⋊C4—81no—
213C7×C22⋊C4C22⋊C414yes—
214C7×C22⋊C4C22⋊C414yes—
215C42×C7—81no—
216C42×C7—81no—
217C42×C7C22×C412yes—
218C42×C7C22×C412yes—
219C42×C7C2×D412yes—
220C42×C7C2×D412yes—
221C22⋊Dic7—24no—
222(C2×D7)⋊C4—24no—
223(C2×D7)⋊C4—24no—
224(C2×D7)⋊C4—24no—
225(C2×D7)⋊C4—24no—
226C4⋊Dic7—24no—
227C4⋊Dic7—21no—
228C4⋊Dic7—21no—
229C4⋊Dic7C22×C412yes—
230C4⋊Dic7C22×C412yes—
231Dic7⋊C4—24no—
232Dic7⋊C4—24no—
233C4×Dic7—24no—
234#1136—44no—
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⋊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—44no—
248C22×M16—71no—
249C23×C8—71no—
250#542—78no—
251#542—144no—
252C2×C4⋊Q8—71no—
253C2×#126—141no—
254C2×#124—71no—
255C2×#124—141no—
256C2×#123—141no—
257C2×C22⋊Q8—71no—
258C2×C22⋊Q8—141no—
259C2×#121—71no—
260C2×C4×Q8—71no—
261C2×C4×D4—71no—
262C2×#117C2×D711yescharacteristic
263#424—144no—
264C2×C4⋊C8—71no—
265C2×C4⋊C8—71no—
266C2×C4⋊C8—71no—
267C2×C4⋊C8—71no—
268C2×#103—71no—
269C2×#103—71no—
270C2×#103—71no—
271C2×#103—71no—
272C2×#102—71no—
273C2×#102—71no—
274C2×#102—71no—
275C2×#102—71no—
276#388—21no—
277#388—21no—
278#387—21no—
279#387—21no—
280#384C2×D711yescharacteristic
281#382C2×D711yescharacteristic
282#380C2×D711yescharacteristic
283#380C2×D711yescharacteristic
284C4×C4⋊C4C2×D711yescharacteristic
285C4×C4⋊C4C2×D711yescharacteristic
286#340—71no—
287#340—71no—
288#340—71no—
289#340—71no—
290#340—71no—
291#340—71no—
292#340—71no—
293#340—71no—
294C23×C7—21no—
295C23×C7—21no—
296C23×C7—21no—
297C23×C7—21no—
298C23×C7—21no—
299C23×C7—21no—
300C23×C7C2×C22⋊C412yes—
301C23×C7C22×D411yescharacteristic
302C22×D7—22no—
303C22×D7—41no—
304C22×D7—41no—
305C22×D7—41no—
306C22×D7—41no—
307C22×D7—41no—
308C22×D7—41no—
309C2×C4×C7—21no—
310C2×C4×C7—21no—
311C2×C4×C7—21no—
312C2×C4×C7—21no—
313C2×C4×C7—21no—
314C2×C4×C7—21no—
315C2×C4×C7—21no—
316C2×C4×C7—21no—
317C2×C4×C7—21no—
318C2×C4×C7—21no—
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×C7—41no—
333C2×C4×C7—41no—
334C2×C4×C7—41no—
335C2×C4×C7C2×C22⋊C412yes—
336C2×C4×C7C2×C22⋊C412yes—
337C2×C4×C7C2×C22⋊C412yes—
338C2×C4×C7C2×C22⋊C412yes—
339C2×C4×C7C2×C22⋊C412yes—
340C2×C4×C7C23×C411yescharacteristic
341C2×C4×C7C22×D411yescharacteristic
342C2×C4×C7H(5,𝔽2)11yescharacteristic
343C2×C4×C7H(5,𝔽2)11yescharacteristic
344C2×C4×C72−1+411yescharacteristic
345C2×C4×C72−1+411yescharacteristic
346C22⋊D7—84no—
347C2×Dic7—22no—
348C2×Dic7—22no—
349C2×Dic7—22no—
350C2×Dic7—41no—
351C2×Dic7—41no—
352C2×Dic7—41no—
353C2×Dic7—41no—
354C2×Dic7—41no—
355C2×Dic7—41no—
356D28—22no—
357D28—22no—
358D28—41no—
359D28—41no—
360C4×D7—84no—
361Dic14—22no—
362Dic14—22no—
363Dic14—41no—
364Dic14—41no—
365Dic14—84no—
366C7⋊C8—41no—
367C7⋊C8—41no—
368C7⋊C8—41no—
369C7⋊C8—41no—
370C22×Q8—71no—
371C22×Q8—141no—
372C22×D4—71no—
373C22×D4—141no—
374C23×C4—141no—
375C23×C4C22×D711yescharacteristic
376C2×M16—142no—
377C2×M16—281no—
378C2×M16—281no—
379C22×C8—71no—
380C22×C8—71no—
381C22×C8—71no—
382C22×C8—71no—
383C22×C8—142no—
384C22×C8—281no—
385C22×C8—281no—
386C4⋊Q8—74no—
387C4⋊Q8—142no—
388#126—148no—
389#124—74no—
390#124—148no—
391#124—142no—
392#123—148no—
393C22⋊Q8—74no—
394C22⋊Q8—142no—
395C22⋊Q8—148no—
396#121—74no—
397#121—142no—
398C4×Q8—74no—
399C4×Q8—142no—
400C4×D4—74no—
401C4×D4—142no—
402#117C4×D714yes—
403#117D2814yes—
404C2×C4⋊C4—21no—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—71no—
407C2×C4⋊C4—71no—
408C2×C4⋊C4—141no—
409C2×C4⋊C4—141no—
410C2×C4⋊C4—141no—
411C2×C4⋊C4C22⋊D711yescharacteristic
412C2×C4⋊C4C22⋊D711yescharacteristic
413C2×C4⋊C4C22×D711yescharacteristic
414C2×C4⋊C4C22×D711yescharacteristic
415C2×C4⋊C4C22×D711yescharacteristic
416C2×C4⋊C4C22×D711yescharacteristic
417C2×C22⋊C4—21no—
418C2×C22⋊C4—21no—
419C2×C22⋊C4—141no—
420C2×C22⋊C4—141no—
421C2×C22⋊C4—141no—
422C2×C22⋊C4—141no—
423C2×C22⋊C4—141no—
424C2×C22⋊C4C22⋊D711yescharacteristic
425C2×C22⋊C4C22⋊D711yescharacteristic
426C2×C42—21no—
427C2×C42—21no—
428C2×C42—141no—
429C2×C42C22×D711yescharacteristic
430C2×C42C22×D711yescharacteristic
431C4⋊C8—142no—
432C4⋊C8—142no—
433C4⋊C8—142no—
434C4⋊C8—142no—
435#103—281no—
436#103—281no—
437#103—281no—
438#103—281no—
439#102—281no—
440#102—281no—
441#102—281no—
442#102—281no—
443#95—21no—
444#95—21no—
445#95—21no—
446#95—21no—
447#95—21no—
448#95—21no—
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#53711yescharacteristic
458C22×C7#53711yescharacteristic
459C22×C7#57611yescharacteristic
460C22×C7#57711yescharacteristic
461C22×C7#57711yescharacteristic
462C22×C7#57811yescharacteristic
463C2×D7—42no—
464C2×D7—42no—
465C2×D7—42no—
466C2×D7—81no—
467C2×D7—81no—
468C2×D7—81no—
469C2×D7—81no—
470C4×C7—22no—
471C4×C7—22no—
472C4×C7—22no—
473C4×C7—22no—
474C4×C7—22no—
475C4×C7—81no—
476C4×C7—81no—
477C4×C7—81no—
478C4×C7—81no—
479C4×C7#52011yescharacteristic
480C4×C7#52011yescharacteristic
481C4×C7#53511yescharacteristic
482C4×C7#53611yescharacteristic
483Dic7—42no—
484Dic7—42no—
485Dic7—42no—
486C24—141no—
487C24C2×C22⋊D711yescharacteristic
488C2×Q8—72no—
489C2×Q8—144no—
490C2×Q8—141no—
491C2×Q8—141no—
492C2×Q8—141no—
493C2×Q8—141no—
494C2×Q8—141no—
495C2×Q8—561no—
496C2×Q8—561no—
497C2×D4—72no—
498C2×D4—144no—
499C2×D4—141no—
500C2×D4—141no—
501C2×D4—141no—
502C2×D4—141no—
503C2×D4—141no—
504C2×D4—561no—
505C2×D4—561no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—141no—
515C22×C4—141no—
516C22×C4—141no—
517C22×C4—144no—
518C22×C4—561no—
519C22×C4—561no—
520C22×C4C2×C4×D712yes—
521C22×C4C2×D2812yes—
522C22×C4C2×C22⋊D711yescharacteristic
523C22×C4C2×C22⋊D711yescharacteristic
524C22×C4C2×C22⋊D711yescharacteristic
525C22×C4C2×C22⋊D711yescharacteristic
526C22×C4C2×C22⋊D711yescharacteristic
527C22×C4C23×D711yescharacteristic
528M16—284no—
529C2×C8—141no—
530C2×C8—141no—
531C2×C8—141no—
532C2×C8—141no—
533C2×C8—141no—
534C2×C8—141no—
535C2×C8—141no—
536C2×C8—141no—
537C2×C8—141no—
538C2×C8—141no—
539C2×C8—141no—
540C2×C8—141no—
541C2×C8—284no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—72no—
551C4⋊C4—72no—
552C4⋊C4—81no—
553C4⋊C4—81no—
554C4⋊C4—144no—
555C4⋊C4—144no—
556C4⋊C4—144no—
557C4⋊C4—141no—
558C4⋊C4—141no—
559C4⋊C4(C2×D7)⋊C414yes—
560C4⋊C4(C2×D7)⋊C414yes—
561C22⋊C4—81no—
562C22⋊C4—81no—
563C22⋊C4—144no—
564C22⋊C4—144no—
565C22⋊C4—144no—
566C22⋊C4—144no—
567C22⋊C4—144no—
568C22⋊C4(C2×D7)⋊C414yes—
569C22⋊C4(C2×D7)⋊C414yes—
570C42—81no—
571C42—81no—
572C42—144no—
573C42C2×C4×D712yes—
574C42C2×C4×D712yes—
575C42C2×D2812yes—
576C42C2×D2812yes—
577C2×C7—42no—
578C2×C7#231111yescharacteristic
579C2×C7#289711yescharacteristic
580C2×C7#289811yescharacteristic
581C2×C7#325711yescharacteristic
582C2×C7#325811yescharacteristic
583C2×C7#326211yescharacteristic
584C2×C7#326311yescharacteristic
585D7—82no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—142no—
593C23—281no—
594C23—281no—
595C23—281no—
596C23—281no—
597C23—281no—
598C23—281no—
599C23C2×(C2×D7)⋊C412yes—
600C23C22×C22⋊D711yescharacteristic
601Q8—142no—
602Q8—142no—
603Q8—281no—
604Q8—281no—
605Q8—564no—
606D4—142no—
607D4—142no—
608D4—281no—
609D4—281no—
610D4—564no—
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—21no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—142no—
638C2×C4—142no—
639C2×C4—142no—
640C2×C4—281no—
641C2×C4—281no—
642C2×C4—281no—
643C2×C4—281no—
644C2×C4—281no—
645C2×C4—281no—
646C2×C4—564no—
647C2×C4C2×(C2×D7)⋊C412yes—
648C2×C4C2×(C2×D7)⋊C412yes—
649C2×C4C2×(C2×D7)⋊C412yes—
650C2×C4C2×(C2×D7)⋊C412yes—
651C2×C4C2×(C2×D7)⋊C412yes—
652C2×C4C22×C4×D711yescharacteristic
653C2×C4C22×D2811yescharacteristic
654C2×C4#655311yescharacteristic
655C2×C4#655311yescharacteristic
656C2×C4#655411yescharacteristic
657C2×C4#655411yescharacteristic
658C8—281no—
659C8—281no—
660C8—281no—
661C8—281no—
662C7#2189611yescharacteristic, complemented, Sylow
663C22—22no—
664C22—22no—
665C22—22no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—282no—
671C22—282no—
672C22—282no—
673C22—561no—
674C22—561no—
675C22—561no—
676C22—561no—
677C22C22×(C2×D7)⋊C411yescharacteristic
678C22#9052411yescharacteristic
679C22#9052411yescharacteristic
680C22#9052611yescharacteristic
681C22#9052711yescharacteristic
682C22#9052811yescharacteristic
683C22#9052911yescharacteristic
684C4—22no—
685C4—22no—
686C4—22no—
687C4—22no—
688C4—22no—
689C4—81no—
690C4—81no—
691C4—81no—
692C4—81no—
693C4—282no—
694C4—282no—
695C4—282no—
696C4#9021411yescharacteristic
697C4#9021411yescharacteristic
698C4#9021611yescharacteristic
699C4#9021711yescharacteristic
700C2—42no—
701C2—562no—
702C2#1173971511yescharacteristic
703C2#1174000811yescharacteristic
704C2#1174001511yescharacteristic
705C2#1174088211yescharacteristic
706C2#1174089411yescharacteristic
707C2#1174091111yescharacteristic
708C2#1174091411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D7
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
FittingC7×#2314C2
socleC23×C7C22×D4
prime radicalC2×#6493C22
cosocleC22×C4×C7C24
hypercenter#2314D7
hypocenterC7#21896
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2314

Complements

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

NH ≅ G/Ntype
2. C7×#2314C2semidirect
3. C2×#89771C2semidirect
4. #11727342C2semidirect
5. #11727338C2semidirect
6. #11727313C2semidirect
7. #11727310C2semidirect
9. #11727270C2semidirect
11. #11727268C2semidirect
12. #11727244C2semidirect
13. #11727243C2semidirect
14. #11727242C2semidirect
15. #11727242C2semidirect
22. #90225C4semidirect
144. #2314D7semidirect
662. C7#21896semidirect

Maximal subgroups

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

subgroupindex
C2×#902252
C7×#23142
C2×#897712
#117273422
#117273382
#117273132
#117273102
#117272712
#117272702
#117272692
#117272682
#117272442
#117272432
#117272422
#218967