Finite Group Databasebeta

← C2×#11742923 #14262080

Subgroups — C2×#11742923 #14262080

Order 1792.

7226 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×C7×#41C211yesmaximal, characteristic, complemented
2C2×#90525C211yesmaximal, characteristic, complemented
3C2×#90522C211yesmaximal, characteristic, complemented
4#11742923C2132yesmaximal, direct product factor
5C2×#90267C211yesmaximal, characteristic, complemented
6C2×#90263C211yesmaximal, characteristic, complemented
7C2×#90260C211yesmaximal, characteristic, complemented
8C2×#90265C211yesmaximal, characteristic, complemented
9C2×#90249C213yesmaximal, complemented
10C2×#90252C213yesmaximal, complemented
11C2×#90253C213yesmaximal, complemented
12C2×#90250C213yesmaximal, complemented
13C2×#90223C213yesmaximal, complemented
14C2×#90220C213yesmaximal, complemented
15C2×#90170C213yesmaximal, complemented
16C2×#90170C213yesmaximal, complemented
17C22×C7×#41C2211yescharacteristic
18C22×#1161C2211yescharacteristic
19C22×Q8×D7C2211yescharacteristic
20C4×C7×#41C22116yescomplemented
21C2×C4×C7×Q8C2211yescharacteristic
22C2×C4×C7×Q8C2211yescharacteristic
23C2×C4×C7×D4C2213yes—
24C2×C4×C7×D4C2213yes—
25C2×C7×#117C2213yes—
26C22×C42×C7C2213yes—
27#90525C22116yescomplemented
28#90522C22116yescomplemented
29C2×Q8×Dic7C2211yescharacteristic
30C2×Q8×Dic7C2211yescharacteristic
31C2×#6503C2213yes—
32C2×#6501C2213yes—
33C2×#6501C2213yes—
34C2×#6499C2213yes—
35C2×#6493C2213yes—
36C2×#6493C2213yes—
37C2×#6492C2213yes—
38C2×#6492C2216yes—
39C2×#6492C2213yes—
40C2×C4×C22⋊D7C2213yes—
41C2×C4×C22⋊D7C2213yes—
42C2×C4×C22⋊D7C2216yes—
43C2×#6487C2213yes—
44C2×#6487C2213yes—
45#90267C22116yescomplemented
46#90265C22116yescomplemented
47#90263C22116yescomplemented
48#90260C22116yescomplemented
49#90253C22148yescomplemented
50#90252C22148yescomplemented
51#90250C22148yescomplemented
52#90249C22148yescomplemented
53#90223C22148yescomplemented
54#90220C22148yescomplemented
55C2×#6460C2213yes—
56C2×#6458C2213yes—
57C2×#6456C2213yes—
58C2×#6455C2213yes—
59C2×D7×C4⋊C4C2213yes—
60C2×#6453C2213yes—
61C2×#6451C2213yes—
62C2×#6450C2213yes—
63C2×#6448C2216yes—
64C2×#6447C2216yes—
65C2×#6446C2216yes—
66C2×#6442C2216yes—
67#90170C22148yescomplemented
68#90170C22148yescomplemented
69C2×#6439C2211yescharacteristic
70C2×#6439C2213yes—
71C2×#6438C2213yes—
72C2×#6438C2213yes—
73C2×C4×D28C2213yes—
74C2×C4×D28C2213yes—
75C2×#6435C2216yes—
76C2×#6435C2213yes—
77C2×#6435C2213yes—
78C2×#6433C2213yes—
79C2×#6433C2213yes—
80C2×C4×Dic14C2213yes—
81C2×C4×Dic14C2213yes—
82C2×#3524—71nomaximal, Sylow
83C2×C7×#41—28no—
84C2×C7×#41C2318yes—
85C22×C7×Q8C2311yescharacteristic
86C22×C7×D4C2313yes—
87C23×C4×C7C2313yes—
88C23×C4×C7C2313yes—
89C23×C4×C7C2313yes—
90C22×C22⋊D7C2313yes—
91C22×C22⋊D7C2313yes—
92C22×C22⋊D7C2316yes—
93C2×#1161—28no—
94C2×#1161C2318yes—
95C2×Q8×D7—28no—
96C2×Q8×D7C2318yes—
97C22×D28C2313yes—
98C22×D28C2313yes—
99C22×C4×D7C2313yes—
100C22×C4×D7C2313yes—
101C22×C4×D7C2316yes—
102C22×Dic14C2313yes—
103C22×Dic14C2313yes—
104C4×C7×Q8C2318yes—
105C4×C7×Q8C2318yes—
106C4×C7×D4C23124yes—
107C4×C7×D4C23124yes—
108C7×#117C23124yes—
109C2×C7×C4⋊C4C2313yes—
110C2×C7×C4⋊C4C2313yes—
111C2×C7×C22⋊C4C2316yes—
112C2×C42×C7C2313yes—
113C2×C42×C7C2313yes—
114C2×C42×C7C2313yes—
115C2×C42×C7C2311yescharacteristic
116C2×C42×C7C23124yes—
117C2×C22⋊Dic7C2313yes—
118C2×C22⋊Dic7C2316yes—
119C2×C22⋊Dic7C2313yes—
120Q8×Dic7C2318yes—
121Q8×Dic7C2318yes—
122#6503C23124yes—
123#6501C23124yes—
124#6501C23124yes—
125#6499C23124yes—
126#6493C23124yes—
127#6493C23124yes—
128#6492C23124yes—
129#6492C23124yes—
130#6492C23148yes—
131C4×C22⋊D7C23124yes—
132C4×C22⋊D7C23124yes—
133C4×C22⋊D7C23148yes—
134C2×(C2×D7)⋊C4C2311yescharacteristic
135C2×(C2×D7)⋊C4C2313yes—
136C2×(C2×D7)⋊C4C2313yes—
137C2×(C2×D7)⋊C4C2316yes—
138C2×(C2×D7)⋊C4C2313yes—
139C2×(C2×D7)⋊C4C2313yes—
140C2×(C2×D7)⋊C4C2311yescharacteristic
141C2×(C2×D7)⋊C4C2313yes—
142C2×(C2×D7)⋊C4C2311yescharacteristic
143C2×C4⋊Dic7C2313yes—
144C2×C4⋊Dic7C2313yes—
145C2×C4⋊Dic7C2313yes—
146C2×C4⋊Dic7C2313yes—
147#6487C23124yes—
148#6487C23124yes—
149C2×Dic7⋊C4C2311yescharacteristic
150C2×Dic7⋊C4C2313yes—
151C2×Dic7⋊C4C2313yes—
152C2×Dic7⋊C4C2311yescharacteristic
153C2×Dic7⋊C4C2313yes—
154C2×Dic7⋊C4C2313yes—
155C2×Dic7⋊C4C2316yes—
156C2×Dic7⋊C4C2313yes—
157C2×Dic7⋊C4C2311yescharacteristic
158C2×C4×Dic7C2316yes—
159C2×C4×Dic7C2313yes—
160C2×C4×Dic7C2313yes—
161#6460C23124yes—
162#6458C23124yes—
163#6456C23124yes—
164#6455C23124yes—
165D7×C4⋊C4C23124yes—
166#6453C23124yes—
167#6451C23124yes—
168#6450C23124yes—
169#6448C23148yes—
170#6447C23148yes—
171#6446C23148yes—
172#6442C23148yes—
173#6439C2318yes—
174#6439C23124yes—
175#6438C23124yes—
176#6438C23124yes—
177C4×D28C23124yes—
178C4×D28C23124yes—
179#6435C23148yes—
180#6435C23124yes—
181#6435C23124yes—
182#6433C23124yes—
183#6433C23124yes—
184C4×Dic14C23124yes—
185C4×Dic14C23124yes—
186#3524—732no—
187C2×#559—73no—
188C2×#557—71no—
189C2×#555—73no—
190C2×#553—73no—
191C2×#552—73no—
192C2×#550—71no—
193C2×#548—71no—
194C2×#548—71no—
195C2×#542—73no—
196C2×#540—73no—
197C2×#529—73no—
198C2×#529—73no—
199C2×#520—71no—
200C2×#519—71no—
201C2×C4×#41D711yescharacteristic, complemented
202C24×C7C2413yes—
203C23×D7C2411yescharacteristic
204C23×D7C2413yes—
205C7×#41—232no—
206C2×C7×Q8#4118yes—
207C2×C7×Q8C2414yes—
208C2×C7×D4—212no—
209C2×C7×D4C24112yes—
210C22×C4×C7—212no—
211C22×C4×C7—46no—
212C22×C4×C7—46no—
213C22×C4×C7C2413yes—
214C22×C4×C7C2411yescharacteristic
215C22×C4×C7C2411yescharacteristic
216C22×C4×C7C2411yescharacteristic
217C22×C4×C7C2413yes—
218C22×C4×C7C24112yes—
219C22×C4×C7C24112yes—
220C22×C4×C7C24112yes—
221C22×C4×C7C2413yes—
222C2×C22⋊D7—412no—
223C2×C22⋊D7—46no—
224C2×C22⋊D7—46no—
225C2×C22⋊D7C24112yes—
226C2×C22⋊D7C24112yes—
227C2×C22⋊D7C24124yes—
228C22×Dic7C2411yescharacteristic
229C22×Dic7C2413yes—
230C22×Dic7C2411yescharacteristic
231C22×Dic7C2413yes—
232C22×Dic7C2413yes—
233C22×Dic7C2411yescharacteristic
234#1161—232no—
235Q8×D7—232no—
236C2×D28—212no—
237C2×D28—46no—
238C2×D28C24112yes—
239C2×D28C24112yes—
240C2×C4×D7—212no—
241C2×C4×D7—212no—
242C2×C4×D7—412no—
243C2×C4×D7C24112yes—
244C2×C4×D7C24112yes—
245C2×C4×D7C24124yes—
246C2×Dic14—212no—
247C2×Dic14—46no—
248C2×Dic14C24112yes—
249C2×Dic14C24112yes—
250C7×C4⋊C4C24112yes—
251C7×C4⋊C4C24112yes—
252C7×C22⋊C4C24124yes—
253C42×C7C24112yes—
254C42×C7C24112yes—
255C42×C7C24112yes—
256C42×C7C2414yes—
257C22⋊Dic7C24112yes—
258C22⋊Dic7C24124yes—
259C22⋊Dic7C24112yes—
260(C2×D7)⋊C4C2414yes—
261(C2×D7)⋊C4C24112yes—
262(C2×D7)⋊C4C24112yes—
263(C2×D7)⋊C4C24124yes—
264(C2×D7)⋊C4C24112yes—
265(C2×D7)⋊C4C24112yes—
266(C2×D7)⋊C4C2414yes—
267(C2×D7)⋊C4C24112yes—
268(C2×D7)⋊C4C2414yes—
269C4⋊Dic7C24112yes—
270C4⋊Dic7C24112yes—
271C4⋊Dic7C24112yes—
272C4⋊Dic7C24112yes—
273Dic7⋊C4C2414yes—
274Dic7⋊C4C24112yes—
275Dic7⋊C4C24112yes—
276Dic7⋊C4C2414yes—
277Dic7⋊C4C24112yes—
278Dic7⋊C4C24112yes—
279Dic7⋊C4C24124yes—
280Dic7⋊C4C24112yes—
281Dic7⋊C4C2414yes—
282C4×Dic7C24124yes—
283C4×Dic7C24112yes—
284C4×Dic7C24112yes—
285C22×#41—71no—
286C22×#41C2×D711yescharacteristic
287C23×Q8—71no—
288#559—748no—
289#557—716no—
290#555—748no—
291#553—748no—
292#552—748no—
293#550—716no—
294#548—716no—
295#548—716no—
296#542—748no—
297#540—748no—
298C2×C4⋊Q8—73no—
299C2×#127—73no—
300#529—748no—
301#529—748no—
302C2×#126—76no—
303C2×#126—71no—
304C2×#126—73no—
305C2×#125—73no—
306C2×#125—73no—
307C2×#125—73no—
308C2×#124—73no—
309C2×#124—76no—
310C2×#124—73no—
311C2×#124—73no—
312C2×#123—76no—
313C2×#123—73no—
314C2×#123—73no—
315C2×#123—76no—
316C2×C22⋊Q8—73no—
317C2×C22⋊Q8—73no—
318C2×C22⋊Q8—73no—
319C2×#121—73no—
320C2×#121—73no—
321C2×#121—73no—
322C2×#121—73no—
323C2×#121—73no—
324C2×#121—76no—
325#520—716no—
326#519—716no—
327C4×#41C2×D7116yescomplemented
328C2×C4×Q8—71no—
329C2×C4×Q8—71no—
330C2×C4×Q8—73no—
331C2×C4×Q8—73no—
332C2×C4×Q8—73no—
333C2×C4×Q8C2×D711yescharacteristic
334C2×C4×Q8C2×D711yescharacteristic
335C2×C4×D4—73no—
336C2×C4×D4—73no—
337C2×C4×D4—76no—
338C2×C4×D4—73no—
339C2×C4×D4—73no—
340C2×C4×D4—73no—
341C2×C4×D4C2×D713yes—
342C2×C4×D4C2×D713yes—
343C2×#117—73no—
344C2×#117—73no—
345C2×#117—73no—
346C2×#117—76no—
347C2×#117C2×D713yes—
348C22×C4⋊C4—73no—
349C22×C42C2×D713yes—
350C23×C7—26no—
351C23×C7—26no—
352C23×C7—26no—
353C23×C7C2516yes—
354C23×C7C2511yescharacteristic
355C22×D7—22no—
356C22×D7—26no—
357C22×D7—26no—
358C22×D7—22no—
359C22×D7—26no—
360C22×D7—22no—
361C22×D7C2512yes—
362C22×D7C2516yes—
363C7×Q8C2×#41116yes—
364C7×D4—224no—
365C2×C4×C7—22no—
366C2×C4×C7—26no—
367C2×C4×C7—26no—
368C2×C4×C7—22no—
369C2×C4×C7—22no—
370C2×C4×C7—224no—
371C2×C4×C7—412no—
372C2×C4×C7—412no—
373C2×C4×C7C2×#41112yes—
374C2×C4×C7C2516yes—
375C2×C4×C7C2512yes—
376C2×C4×C7C2512yes—
377C2×C4×C7C2512yes—
378C2×C4×C7C2516yes—
379C2×C4×C7C2516yes—
380C22⋊D7—424no—
381C22⋊D7—412no—
382C22⋊D7—412no—
383C2×Dic7—26no—
384C2×Dic7—22no—
385C2×Dic7—22no—
386C2×Dic7—26no—
387C2×Dic7—26no—
388C2×Dic7—22no—
389C2×Dic7C2512yes—
390C2×Dic7C2516yes—
391C2×Dic7C2512yes—
392C2×Dic7C2516yes—
393C2×Dic7C2516yes—
394C2×Dic7C2512yes—
395D28—224no—
396D28—412no—
397C4×D7—224no—
398C4×D7—224no—
399C4×D7—424no—
400Dic14—224no—
401Dic14—412no—
402C2×#41—28no—
403C2×#41—78no—
404C2×#41—148no—
405C2×#41C22×D718yes—
406C22×Q8—78no—
407C22×Q8—73no—
408C22×Q8—73no—
409C22×Q8—148no—
410C22×Q8C22×D711yescharacteristic
411C22×D4—73no—
412C22×D4—76no—
413C22×D4—73no—
414C22×D4—73no—
415C22×D4—73no—
416C22×D4C22×D713yes—
417C23×C4—73no—
418C23×C4—73no—
419C23×C4—76no—
420C23×C4C22×D713yes—
421C23×C4C22×D713yes—
422C23×C4C22×D713yes—
423C4⋊Q8—724no—
424#127—724no—
425#126—748no—
426#126—78no—
427#126—724no—
428#125—724no—
429#125—724no—
430#125—724no—
431#124—724no—
432#124—748no—
433#124—724no—
434#124—724no—
435#123—748no—
436#123—724no—
437#123—724no—
438#123—748no—
439C22⋊Q8—724no—
440C22⋊Q8—724no—
441C22⋊Q8—724no—
442#121—724no—
443#121—724no—
444#121—724no—
445#121—724no—
446#121—724no—
447#121—748no—
448C4×Q8—78no—
449C4×Q8—78no—
450C4×Q8—724no—
451C4×Q8—724no—
452C4×Q8—724no—
453C4×Q8C22×D718yes—
454C4×Q8C22×D718yes—
455C4×D4—724no—
456C4×D4—724no—
457C4×D4—748no—
458C4×D4—724no—
459C4×D4—724no—
460C4×D4—724no—
461C4×D4C22×D7124yes—
462C4×D4C22×D7124yes—
463#117—724no—
464#117—724no—
465#117—724no—
466#117—748no—
467#117C22×D7124yes—
468C2×C4⋊C4—73no—
469C2×C4⋊C4—73no—
470C2×C4⋊C4—71no—
471C2×C4⋊C4—73no—
472C2×C4⋊C4—73no—
473C2×C4⋊C4—73no—
474C2×C4⋊C4—73no—
475C2×C4⋊C4—76no—
476C2×C4⋊C4—71no—
477C2×C4⋊C4—73no—
478C2×C4⋊C4—73no—
479C2×C4⋊C4—71no—
480C2×C4⋊C4—73no—
481C2×C4⋊C4—724no—
482C2×C4⋊C4C22×D713yes—
483C2×C4⋊C4C22×D713yes—
484C2×C22⋊C4—73no—
485C2×C22⋊C4—76no—
486C2×C22⋊C4—73no—
487C2×C22⋊C4—71no—
488C2×C22⋊C4—73no—
489C2×C22⋊C4—73no—
490C2×C22⋊C4—73no—
491C2×C22⋊C4—73no—
492C2×C22⋊C4—76no—
493C2×C22⋊C4—71no—
494C2×C22⋊C4—73no—
495C2×C22⋊C4—71no—
496C2×C22⋊C4C22×D716yes—
497C2×C42—76no—
498C2×C42—73no—
499C2×C42—73no—
500C2×C42C22×D713yes—
501C2×C42C22×D713yes—
502C2×C42C22×D713yes—
503C2×C42C22×D7124yes—
504C2×C42C22×D711yescharacteristic
505C22×C7—26no—
506C22×C7—26no—
507C22×C7—26no—
508C22×C7—412no—
509C22×C7C22×#4112yes—
510C22×C7#58512yes—
511C22×C7#58512yes—
512C22×C7C2611yescharacteristic
513C2×D7—22no—
514C2×D7—26no—
515C2×D7—26no—
516C2×D7—22no—
517C2×D7—26no—
518C2×D7—22no—
519C2×D7—44no—
520C2×D7—412no—
521C4×C7—22no—
522C4×C7—26no—
523C4×C7—26no—
524C4×C7—22no—
525C4×C7—22no—
526C4×C7C22×#41112yes—
527Dic7—26no—
528Dic7—22no—
529Dic7—22no—
530Dic7—26no—
531Dic7—26no—
532Dic7—22no—
533C24—71no—
534C24—73no—
535C24C23×D713yes—
536#41—232no—
537#41—1432no—
538C2×Q8—712no—
539C2×Q8—712no—
540C2×Q8—1432no—
541C2×Q8—1412no—
542C2×Q8—286no—
543C2×Q8#115718yes—
544C2×Q8C23×D714yes—
545C2×D4—212no—
546C2×D4—712no—
547C2×D4—724no—
548C2×D4—712no—
549C2×D4—712no—
550C2×D4—712no—
551C2×D4—1412no—
552C2×D4—286no—
553C2×D4—286no—
554C2×D4—286no—
555C2×D4—2812no—
556C2×D4C23×D7112yes—
557C22×C4—212no—
558C22×C4—46no—
559C22×C4—46no—
560C22×C4—71no—
561C22×C4—73no—
562C22×C4—71no—
563C22×C4—73no—
564C22×C4—73no—
565C22×C4—71no—
566C22×C4—712no—
567C22×C4—712no—
568C22×C4—724no—
569C22×C4—1412no—
570C22×C4—1412no—
571C22×C4—2812no—
572C22×C4C23×D7112yes—
573C22×C4C23×D713yes—
574C22×C4C23×D711yescharacteristic
575C22×C4C23×D711yescharacteristic
576C22×C4C23×D711yescharacteristic
577C22×C4C23×D713yes—
578C22×C4C23×D7112yes—
579C22×C4C23×D7112yes—
580C22×C4C23×D713yes—
581C4⋊C4—712no—
582C4⋊C4—74no—
583C4⋊C4—712no—
584C4⋊C4—712no—
585C4⋊C4—712no—
586C4⋊C4—724no—
587C4⋊C4—74no—
588C4⋊C4—712no—
589C4⋊C4—74no—
590C4⋊C4—712no—
591C4⋊C4—712no—
592C4⋊C4—712no—
593C4⋊C4—712no—
594C4⋊C4C23×D7112yes—
595C4⋊C4C23×D7112yes—
596C22⋊C4—712no—
597C22⋊C4—724no—
598C22⋊C4—712no—
599C22⋊C4—74no—
600C22⋊C4—712no—
601C22⋊C4—712no—
602C22⋊C4—712no—
603C22⋊C4—712no—
604C22⋊C4—724no—
605C22⋊C4—74no—
606C22⋊C4—712no—
607C22⋊C4—74no—
608C22⋊C4C23×D7124yes—
609C42—724no—
610C42—712no—
611C42—712no—
612C42C23×D714yes—
613C42C23×D7112yes—
614C42C23×D7112yes—
615C42C23×D7112yes—
616C2×C7—46no—
617C2×C7#352414yescomplemented
618C2×C7C23×#4111yescharacteristic
619C2×C7C2×#58511yescharacteristic
620C2×C7C2×#58511yescharacteristic
621D7—42no—
622D7—46no—
623C23—26no—
624C23—26no—
625C23—26no—
626C23—72no—
627C23—76no—
628C23—142no—
629C23—146no—
630C23—146no—
631C23—142no—
632C23—146no—
633C23—142no—
634C23C24×D716yes—
635C23C24×D711yescharacteristic
636Q8—1424no—
637Q8—2812no—
638Q8C2×#1157116yes—
639D4—224no—
640D4—1424no—
641D4—2812no—
642D4—2812no—
643D4—2812no—
644D4—2824no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—26no—
649C2×C4—26no—
650C2×C4—224no—
651C2×C4—412no—
652C2×C4—412no—
653C2×C4—72no—
654C2×C4—76no—
655C2×C4—72no—
656C2×C4—76no—
657C2×C4—76no—
658C2×C4—72no—
659C2×C4—142no—
660C2×C4—146no—
661C2×C4—146no—
662C2×C4—142no—
663C2×C4—146no—
664C2×C4—142no—
665C2×C4—1424no—
666C2×C4—1424no—
667C2×C4—2824no—
668C2×C4C2×#1157112yes—
669C2×C4C24×D716yes—
670C2×C4C24×D712yes—
671C2×C4C24×D712yes—
672C2×C4C24×D712yes—
673C2×C4C24×D716yes—
674C2×C4C24×D716yes—
675C7C2×#352411yescharacteristic, complemented, Sylow
676C22—26no—
677C22—26no—
678C22—26no—
679C22—412no—
680C22—142no—
681C22—146no—
682C22—146no—
683C22—142no—
684C22—146no—
685C22—142no—
686C22—284no—
687C22—2812no—
688C22C22×#115712yes—
689C22#9061612yes—
690C22#9061612yes—
691C22C25×D711yescharacteristic
692C4—22no—
693C4—22no—
694C4—22no—
695C4—26no—
696C4—26no—
697C4—142no—
698C4—146no—
699C4—146no—
700C4—142no—
701C4—146no—
702C4—142no—
703C4C22×#1157112yes—
704C2—46no—
705C2—282no—
706C2—286no—
707C2#1174292314yesdirect product factor
708C2C23×#115711yescharacteristic
709C2C2×#9061611yescharacteristic
710C2C2×#9061611yescharacteristic
subgroupG/H
centerC23C24×D7
commutator, cosocleC22×C7C26
FrattiniC22C25×D7
FittingC2×C4×C7×#41C2
socleC23×C7C25
hypercenterC2×C4×#41D7
hypocenterC7C2×#3524
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C4×#41

Complements

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

NH ≅ G/Ntype
1. C2×C4×C7×#41C2semidirect
2. C2×#90525C2semidirect
3. C2×#90522C2semidirect
4. #11742923C2direct (N × H)
5. C2×#90267C2semidirect
6. C2×#90263C2semidirect
7. C2×#90260C2semidirect
8. C2×#90265C2semidirect
9. C2×#90249C2semidirect
10. C2×#90252C2semidirect
11. C2×#90253C2semidirect
12. C2×#90250C2semidirect
13. C2×#90223C2semidirect
14. C2×#90220C2semidirect
15. C2×#90170C2semidirect
16. C2×#90170C2semidirect
20. C4×C7×#41C22semidirect
27. #90525C22semidirect
28. #90522C22semidirect
45. #90267C22semidirect
46. #90265C22semidirect
47. #90263C22semidirect
48. #90260C22semidirect
49. #90253C22semidirect
50. #90252C22semidirect
51. #90250C22semidirect
52. #90249C22semidirect
53. #90223C22semidirect
54. #90220C22semidirect
67. #90170C22semidirect
68. #90170C22semidirect
201. C2×C4×#41D7semidirect
327. C4×#41C2×D7semidirect
617. C2×C7#3524semidirect
675. C7C2×#3524semidirect
707. C2#11742923direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C4×C7×#412
C2×#905252
C2×#905222
#117429232
C2×#902672
C2×#902632
C2×#902602
C2×#902652
C2×#902492
C2×#902522
C2×#902532
C2×#902502
C2×#902232
C2×#902202
C2×#901702
C2×#35247