Finite Group Databasebeta

← C2×#11743791 #14262083

Subgroups — C2×#11743791 #14262083

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×C7×#548C211yesmaximal, characteristic, complemented
2C2×#90525C211yesmaximal, characteristic, complemented
3C2×#41×Dic7C211yesmaximal, characteristic, complemented
4C2×#90508C211yesmaximal, characteristic, complemented
5C2×#90503C211yesmaximal, characteristic, complemented
6#11743791C2132yesmaximal, direct product factor
7C2×#90373C213yesmaximal, complemented
8C2×#90372C213yesmaximal, complemented
9C2×#90330C213yesmaximal, complemented
10C2×#90315C213yesmaximal, complemented
11C2×#90305C213yesmaximal, complemented
12C2×#90310C213yesmaximal, complemented
13C2×#90261C211yesmaximal, characteristic, complemented
14C2×#90265C211yesmaximal, characteristic, complemented
15C2×#90254C213yesmaximal, complemented
16C2×#90229C213yesmaximal, complemented
17C22×C7×#41C2211yescharacteristic
18C23×C7×Q8C2211yescharacteristic
19C22×#1161C2211yescharacteristic
20C7×#548C22116yescomplemented
21C2×C7×#124C2213yes—
22C2×C7×C22⋊Q8C2213yes—
23C2×C7×#121C2213yes—
24C2×C4×C7×Q8C2211yescharacteristic
25C2×C4×C7×D4C2213yes—
26#90525C22116yescomplemented
27#41×Dic7C22116yescomplemented
28#90508C22116yescomplemented
29C2×#6510C2213yes—
30C2×#6509C2213yes—
31#90503C22116yescomplemented
32C2×Q8×Dic7C2213yes—
33C2×Q8×Dic7C2211yescharacteristic
34C2×Q8×Dic7C2213yes—
35C2×Q8×Dic7C2211yescharacteristic
36C2×Q8×Dic7C2211yescharacteristic
37C2×#6503C2213yes—
38C2×#6502C2213yes—
39C2×#6501C2216yes—
40C2×#6501C2213yes—
41C2×#6498C2213yes—
42C2×D4×Dic7C2213yes—
43C2×D4×Dic7C2213yes—
44C2×#6493C2213yes—
45C2×#6493C2213yes—
46C2×C4×C22⋊D7C2213yes—
47C2×C4×C22⋊D7C2213yes—
48C2×#6489C2213yes—
49C2×#6489C2213yes—
50C2×#6489C2213yes—
51C22×C4×Dic7C2213yes—
52#90373C22148yescomplemented
53#90372C22148yescomplemented
54#90330C22148yescomplemented
55#90315C22148yescomplemented
56#90310C22148yescomplemented
57#90305C22148yescomplemented
58#90265C22116yescomplemented
59#90261C22116yescomplemented
60#90254C22148yescomplemented
61#90229C22148yescomplemented
62C2×#6461C2213yes—
63C2×#6456C2213yes—
64C2×#6455C2216yes—
65C2×D7×C4⋊C4C2213yes—
66C2×#6453C2213yes—
67C2×#6453C2213yes—
68C2×#6452C2213yes—
69C2×#6449C2216yes—
70C2×#6449C2213yes—
71C2×#6448C2213yes—
72C2×#6448C2216yes—
73C2×#6446C2216yes—
74C2×(C22⋊D7)⋊C4C2216yes—
75C2×#6442C2216yes—
76C2×#6442C2211yescharacteristic
77C2×#6441C2213yes—
78C2×C4×D28C2213yes—
79C2×#6435C2213yes—
80C2×#6432C2213yes—
81C2×C4×Dic14C2213yes—
82C2×#3524—71nomaximal, Sylow
83C2×C7×#41—28no—
84C2×C7×#41C2318yes—
85C22×C7×Q8—28no—
86C22×C7×Q8C2313yes—
87C22×C7×Q8C2318yes—
88C22×C7×Q8C2311yescharacteristic
89C22×C7×D4C2313yes—
90C22×C7×D4C2313yes—
91C23×C4×C7C2313yes—
92C23×C4×C7C2313yes—
93C22×C22⋊D7C2316yes—
94C22×C22⋊D7C2313yes—
95C22×C22⋊D7C2313yes—
96C23×Dic7C2313yes—
97C23×Dic7C2313yes—
98C2×#1161—28no—
99C2×#1161C2318yes—
100C22×D28C2313yes—
101C22×C4×D7C2313yes—
102C22×C4×D7C2316yes—
103C22×Dic14C2313yes—
104C7×#124C23124yes—
105C7×C22⋊Q8C23124yes—
106C7×#121C23124yes—
107C4×C7×Q8C2318yes—
108C4×C7×D4C23124yes—
109C2×C7×C4⋊C4C2313yes—
110C2×C7×C4⋊C4C2313yes—
111C2×C7×C22⋊C4C2313yes—
112C2×C7×C22⋊C4C2316yes—
113C2×C7×C22⋊C4C2311yescharacteristic
114C2×C42×C7C2313yes—
115C2×C22⋊Dic7C2313yes—
116C2×C22⋊Dic7C2316yes—
117C2×C22⋊Dic7C2311yescharacteristic
118C2×C22⋊Dic7C2311yescharacteristic
119C2×C22⋊Dic7C2313yes—
120#6510C23124yes—
121#6509C23124yes—
122Q8×Dic7C23124yes—
123Q8×Dic7C23124yes—
124Q8×Dic7C2318yes—
125Q8×Dic7C2318yes—
126Q8×Dic7C2318yes—
127#6503C23124yes—
128#6502C23124yes—
129#6501C23124yes—
130#6501C23148yes—
131#6498C23124yes—
132D4×Dic7C23124yes—
133D4×Dic7C23124yes—
134#6493C23124yes—
135#6493C23124yes—
136C4×C22⋊D7C23124yes—
137C4×C22⋊D7C23124yes—
138C2×(C2×D7)⋊C4C2313yes—
139C2×(C2×D7)⋊C4C2313yes—
140C2×(C2×D7)⋊C4C2313yes—
141C2×(C2×D7)⋊C4C2316yes—
142C2×(C2×D7)⋊C4C2313yes—
143#6489C23124yes—
144#6489C23124yes—
145#6489C23124yes—
146C2×C4⋊Dic7C2311yescharacteristic
147C2×C4⋊Dic7C2316yes—
148C2×C4⋊Dic7C2313yes—
149C2×C4⋊Dic7C2313yes—
150C2×C4⋊Dic7C2313yes—
151C2×C4⋊Dic7C2313yes—
152C2×C4⋊Dic7C2313yes—
153C2×Dic7⋊C4C2313yes—
154C2×Dic7⋊C4C2313yes—
155C2×Dic7⋊C4C2311yescharacteristic
156C2×Dic7⋊C4C2313yes—
157C2×Dic7⋊C4C2313yes—
158C2×Dic7⋊C4C2311yescharacteristic
159C2×C4×Dic7C2313yes—
160C2×C4×Dic7C2313yes—
161C2×C4×Dic7C2313yes—
162C2×C4×Dic7C2316yes—
163C2×C4×Dic7C2311yescharacteristic
164C2×C4×Dic7C2313yes—
165C2×C4×Dic7C23124yes—
166#6461C23124yes—
167#6456C23124yes—
168#6455C23148yes—
169D7×C4⋊C4C23124yes—
170#6453C23124yes—
171#6453C23124yes—
172#6452C23124yes—
173#6449C23124yes—
174#6449C23148yes—
175#6448C23148yes—
176#6448C23124yes—
177#6446C23148yes—
178(C22⋊D7)⋊C4C23148yes—
179#6442C23148yes—
180#6442C2318yes—
181#6441C23124yes—
182C4×D28C23124yes—
183#6435C23124yes—
184#6432C23124yes—
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×#548D711yescharacteristic, complemented
195C2×#542—73no—
196C2×#540—73no—
197C2×#529—73no—
198C2×#529—73no—
199C2×#520—71no—
200C2×#519—71no—
201C2×C4×#41—71no—
202C24×C7C2411yescharacteristic
203C24×C7C2413yes—
204C23×D7C2413yes—
205C7×#41—232no—
206C2×C7×Q8—232no—
207C2×C7×Q8—212no—
208C2×C7×Q8#4118yes—
209C2×C7×Q8C24112yes—
210C2×C7×Q8C2414yes—
211C2×C7×D4—212no—
212C2×C7×D4—46no—
213C2×C7×D4C24112yes—
214C2×C7×D4C24112yes—
215C22×C4×C7—212no—
216C22×C4×C7—212no—
217C22×C4×C7C2411yescharacteristic
218C22×C4×C7C2413yes—
219C22×C4×C7C24112yes—
220C22×C4×C7C2413yes—
221C22×C4×C7C2411yescharacteristic
222C22×C4×C7C24112yes—
223C22×C4×C7C2413yes—
224C2×C22⋊D7—46no—
225C2×C22⋊D7—412no—
226C2×C22⋊D7—46no—
227C2×C22⋊D7C24124yes—
228C2×C22⋊D7C24112yes—
229C2×C22⋊D7C24112yes—
230C22×Dic7—46no—
231C22×Dic7—46no—
232C22×Dic7C2411yescharacteristic
233C22×Dic7C2411yescharacteristic
234C22×Dic7C2413yes—
235C22×Dic7C2411yescharacteristic
236C22×Dic7C2413yes—
237C22×Dic7C2413yes—
238C22×Dic7C2411yescharacteristic
239C22×Dic7C24112yes—
240C22×Dic7C24112yes—
241#1161—232no—
242C2×D28—212no—
243C2×D28C24112yes—
244C2×C4×D7—212no—
245C2×C4×D7—412no—
246C2×C4×D7C24112yes—
247C2×C4×D7C24124yes—
248C2×Dic14—46no—
249C2×Dic14C24112yes—
250C7×C4⋊C4C24112yes—
251C7×C4⋊C4C24112yes—
252C7×C22⋊C4C24112yes—
253C7×C22⋊C4C24124yes—
254C7×C22⋊C4C2414yes—
255C42×C7C24112yes—
256C22⋊Dic7C24112yes—
257C22⋊Dic7C24124yes—
258C22⋊Dic7C2414yes—
259C22⋊Dic7C2414yes—
260C22⋊Dic7C24112yes—
261(C2×D7)⋊C4C24112yes—
262(C2×D7)⋊C4C24112yes—
263(C2×D7)⋊C4C24112yes—
264(C2×D7)⋊C4C24124yes—
265(C2×D7)⋊C4C24112yes—
266C4⋊Dic7C2414yes—
267C4⋊Dic7C24124yes—
268C4⋊Dic7C24112yes—
269C4⋊Dic7C24112yes—
270C4⋊Dic7C24112yes—
271C4⋊Dic7C24112yes—
272C4⋊Dic7C24112yes—
273Dic7⋊C4C24112yes—
274Dic7⋊C4C24112yes—
275Dic7⋊C4C2414yes—
276Dic7⋊C4C24112yes—
277Dic7⋊C4C24112yes—
278Dic7⋊C4C2414yes—
279C4×Dic7C24112yes—
280C4×Dic7C24112yes—
281C4×Dic7C24112yes—
282C4×Dic7C24124yes—
283C4×Dic7C2414yes—
284C4×Dic7C24112yes—
285C22×#41—71no—
286C22×#41C2×D711yescharacteristic
287C23×Q8C2×D711yescharacteristic
288#559—748no—
289#557—716no—
290#555—748no—
291#553—748no—
292#552—748no—
293#550—716no—
294#548—716no—
295#548C2×D7116yescomplemented
296#542—748no—
297#540—748no—
298C2×C4⋊Q8—73no—
299C2×#127—73no—
300#529—748no—
301#529—748no—
302C2×#126—73no—
303C2×#126—71no—
304C2×#126—76no—
305C2×#125—73no—
306C2×#125—73no—
307C2×#125—73no—
308C2×#124—73no—
309C2×#124—73no—
310C2×#124—76no—
311C2×#124C2×D713yes—
312C2×#123—73no—
313C2×#123—76no—
314C2×#123—76no—
315C2×#123—73no—
316C2×C22⋊Q8—73no—
317C2×C22⋊Q8—73no—
318C2×C22⋊Q8C2×D713yes—
319C2×#121—73no—
320C2×#121—76no—
321C2×#121—73no—
322C2×#121—73no—
323C2×#121—73no—
324C2×#121C2×D713yes—
325#520—716no—
326#519—716no—
327C4×#41—716no—
328C2×C4×Q8—71no—
329C2×C4×Q8—71no—
330C2×C4×Q8—73no—
331C2×C4×Q8—71no—
332C2×C4×Q8—73no—
333C2×C4×Q8—73no—
334C2×C4×Q8C2×D711yescharacteristic
335C2×C4×D4—73no—
336C2×C4×D4—73no—
337C2×C4×D4—73no—
338C2×C4×D4—73no—
339C2×C4×D4—73no—
340C2×C4×D4—76no—
341C2×C4×D4—73no—
342C2×C4×D4C2×D713yes—
343C2×#117—73no—
344C2×#117—73no—
345C2×#117—73no—
346C2×#117—76no—
347C2×#117—73no—
348C22×C4⋊C4—73no—
349C22×C42—73no—
350C23×C7—22no—
351C23×C7—26no—
352C23×C7—26no—
353C23×C7—26no—
354C23×C7—22no—
355C23×C7—22no—
356C23×C7C2512yes—
357C23×C7C2516yes—
358C23×C7C2511yescharacteristic
359C22×D7—26no—
360C22×D7—26no—
361C22×D7—26no—
362C22×D7C2516yes—
363C7×Q8—224no—
364C7×Q8C2×#41116yes—
365C7×D4—224no—
366C7×D4—412no—
367C2×C4×C7—22no—
368C2×C4×C7—26no—
369C2×C4×C7—22no—
370C2×C4×C7—26no—
371C2×C4×C7—224no—
372C2×C4×C7—224no—
373C2×C4×C7C2×#41112yes—
374C2×C4×C7C2512yes—
375C2×C4×C7C2516yes—
376C2×C4×C7C2516yes—
377C2×C4×C7C2512yes—
378C2×C4×C7C2516yes—
379C22⋊D7—412no—
380C22⋊D7—424no—
381C22⋊D7—412no—
382C2×Dic7—22no—
383C2×Dic7—26no—
384C2×Dic7—26no—
385C2×Dic7—26no—
386C2×Dic7—22no—
387C2×Dic7—22no—
388C2×Dic7—22no—
389C2×Dic7—412no—
390C2×Dic7—412no—
391C2×Dic7C2512yes—
392C2×Dic7C2512yes—
393C2×Dic7C2516yes—
394C2×Dic7C2512yes—
395C2×Dic7C2516yes—
396C2×Dic7C2516yes—
397C2×Dic7C2512yes—
398D28—224no—
399C4×D7—224no—
400C4×D7—424no—
401Dic14—412no—
402C2×#41—28no—
403C2×#41—78no—
404C2×#41—148no—
405C2×#41C22×D718yes—
406C22×Q8—28no—
407C22×Q8—73no—
408C22×Q8C22×D713yes—
409C22×Q8C22×D718yes—
410C22×Q8C22×D711yescharacteristic
411C22×D4—73no—
412C22×D4—76no—
413C22×D4—73no—
414C22×D4—73no—
415C22×D4C22×D713yes—
416C22×D4C22×D713yes—
417C23×C4—73no—
418C23×C4—73no—
419C23×C4—73no—
420C23×C4—76no—
421C23×C4C22×D713yes—
422C23×C4C22×D713yes—
423C4⋊Q8—724no—
424#127—724no—
425#126—724no—
426#126—78no—
427#126—748no—
428#125—724no—
429#125—724no—
430#125—724no—
431#124—724no—
432#124—724no—
433#124—748no—
434#124C22×D7124yes—
435#123—724no—
436#123—748no—
437#123—724no—
438#123—748no—
439C22⋊Q8—724no—
440C22⋊Q8—724no—
441C22⋊Q8C22×D7124yes—
442#121—724no—
443#121—748no—
444#121—724no—
445#121—724no—
446#121—724no—
447#121C22×D7124yes—
448C4×Q8—78no—
449C4×Q8—78no—
450C4×Q8—724no—
451C4×Q8—78no—
452C4×Q8—724no—
453C4×Q8—724no—
454C4×Q8C22×D718yes—
455C4×D4—724no—
456C4×D4—724no—
457C4×D4—724no—
458C4×D4—724no—
459C4×D4—724no—
460C4×D4—748no—
461C4×D4—724no—
462C4×D4C22×D7124yes—
463#117—724no—
464#117—724no—
465#117—724no—
466#117—748no—
467#117—724no—
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—71no—
485C2×C22⋊C4—73no—
486C2×C22⋊C4—76no—
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—73no—
494C2×C22⋊C4C22×D716yes—
495C2×C22⋊C4C22×D711yescharacteristic
496C2×C22⋊C4C22×D713yes—
497C2×C42—73no—
498C2×C42—73no—
499C2×C42—76no—
500C2×C42—73no—
501C2×C42—73no—
502C2×C42—724no—
503C2×C42—71no—
504C2×C42C22×D713yes—
505C22×C7—22no—
506C22×C7—26no—
507C22×C7—26no—
508C22×C7—26no—
509C22×C7—22no—
510C22×C7—22no—
511C22×C7—44no—
512C22×C7—412no—
513C22×C7C22×#4112yes—
514C22×C7#58512yes—
515C22×C7#58512yes—
516C22×C7C2611yescharacteristic
517C2×D7—26no—
518C2×D7—26no—
519C2×D7—26no—
520C2×D7—412no—
521C4×C7—22no—
522C4×C7—26no—
523C4×C7—22no—
524C4×C7—26no—
525C4×C7C22×#41112yes—
526Dic7—22no—
527Dic7—26no—
528Dic7—26no—
529Dic7—26no—
530Dic7—22no—
531Dic7—22no—
532Dic7—22no—
533C24—73no—
534C24C23×D711yescharacteristic
535C24C23×D713yes—
536#41—232no—
537#41—1432no—
538C2×Q8—232no—
539C2×Q8—212no—
540C2×Q8—712no—
541C2×Q8—286no—
542C2×Q8#115918yes—
543C2×Q8C23×D7112yes—
544C2×Q8C23×D714yes—
545C2×D4—212no—
546C2×D4—46no—
547C2×D4—712no—
548C2×D4—724no—
549C2×D4—712no—
550C2×D4—712no—
551C2×D4—1412no—
552C2×D4—286no—
553C2×D4—286no—
554C2×D4—2812no—
555C2×D4C23×D7112yes—
556C2×D4C23×D7112yes—
557C22×C4—212no—
558C22×C4—212no—
559C22×C4—73no—
560C22×C4—71no—
561C22×C4—71no—
562C22×C4—73no—
563C22×C4—71no—
564C22×C4—73no—
565C22×C4—71no—
566C22×C4—712no—
567C22×C4—712no—
568C22×C4—712no—
569C22×C4—724no—
570C22×C4—1412no—
571C22×C4—2812no—
572C22×C4—286no—
573C22×C4—286no—
574C22×C4C23×D7112yes—
575C22×C4C23×D7112yes—
576C22×C4C23×D711yescharacteristic
577C22×C4C23×D713yes—
578C22×C4C23×D711yescharacteristic
579C22×C4C23×D713yes—
580C22×C4C23×D713yes—
581C4⋊C4—712no—
582C4⋊C4—74no—
583C4⋊C4—74no—
584C4⋊C4—712no—
585C4⋊C4—712no—
586C4⋊C4—712no—
587C4⋊C4—712no—
588C4⋊C4—712no—
589C4⋊C4—712no—
590C4⋊C4—712no—
591C4⋊C4—712no—
592C4⋊C4—724no—
593C4⋊C4—74no—
594C4⋊C4C23×D7112yes—
595C4⋊C4C23×D7112yes—
596C22⋊C4—74no—
597C22⋊C4—712no—
598C22⋊C4—724no—
599C22⋊C4—74no—
600C22⋊C4—712no—
601C22⋊C4—712no—
602C22⋊C4—712no—
603C22⋊C4—712no—
604C22⋊C4—724no—
605C22⋊C4—712no—
606C22⋊C4C23×D7124yes—
607C22⋊C4C23×D714yes—
608C22⋊C4C23×D7112yes—
609C42—74no—
610C42—712no—
611C42—712no—
612C42—712no—
613C42—724no—
614C42—712no—
615C42C23×D7112yes—
616C2×C7—42no—
617C2×C7—46no—
618C2×C7#352414yescomplemented
619C2×C7C23×#4111yescharacteristic
620C2×C7C2×#58511yescharacteristic
621C2×C7C2×#58511yescharacteristic
622D7—46no—
623C23—22no—
624C23—26no—
625C23—26no—
626C23—22no—
627C23—26no—
628C23—22no—
629C23—76no—
630C23—146no—
631C23—146no—
632C23—146no—
633C23C24×D712yes—
634C23C24×D716yes—
635C23C24×D711yescharacteristic
636Q8—224no—
637Q8—2812no—
638Q8C2×#1159116yes—
639D4—224no—
640D4—412no—
641D4—1424no—
642D4—2812no—
643D4—2812no—
644D4—2824no—
645C2×C4—22no—
646C2×C4—26no—
647C2×C4—26no—
648C2×C4—22no—
649C2×C4—224no—
650C2×C4—224no—
651C2×C4—72no—
652C2×C4—76no—
653C2×C4—72no—
654C2×C4—76no—
655C2×C4—72no—
656C2×C4—76no—
657C2×C4—72no—
658C2×C4—142no—
659C2×C4—146no—
660C2×C4—142no—
661C2×C4—142no—
662C2×C4—142no—
663C2×C4—146no—
664C2×C4—146no—
665C2×C4—1424no—
666C2×C4—2824no—
667C2×C4—2812no—
668C2×C4—2812no—
669C2×C4C2×#1159112yes—
670C2×C4C24×D712yes—
671C2×C4C24×D716yes—
672C2×C4C24×D712yes—
673C2×C4C24×D716yes—
674C2×C4C24×D716yes—
675C7C2×#352411yescharacteristic, complemented, Sylow
676C22—22no—
677C22—26no—
678C22—26no—
679C22—22no—
680C22—26no—
681C22—22no—
682C22—44no—
683C22—412no—
684C22—146no—
685C22—146no—
686C22—146no—
687C22—2812no—
688C22C22×#115912yes—
689C22#9061612yes—
690C22#9062012yes—
691C22C25×D711yescharacteristic
692C4—22no—
693C4—26no—
694C4—26no—
695C4—22no—
696C4—142no—
697C4—146no—
698C4—142no—
699C4—142no—
700C4—142no—
701C4—146no—
702C4—146no—
703C4C22×#1159112yes—
704C2—42no—
705C2—46no—
706C2—286no—
707C2#1174379114yesdirect product factor
708C2C23×#115911yescharacteristic
709C2C2×#9061611yescharacteristic
710C2C2×#9062011yescharacteristic
subgroupG/H
centerC23C24×D7
commutator, cosocleC22×C7C26
FrattiniC22C25×D7
FittingC2×C7×#548C2
socleC23×C7C25
hypercenterC2×#548D7
hypocenterC7C2×#3524
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×#548

Complements

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

NH ≅ G/Ntype
1. C2×C7×#548C2semidirect
2. C2×#90525C2semidirect
3. C2×#41×Dic7C2semidirect
4. C2×#90508C2semidirect
5. C2×#90503C2semidirect
6. #11743791C2direct (N × H)
7. C2×#90373C2semidirect
8. C2×#90372C2semidirect
9. C2×#90330C2semidirect
10. C2×#90315C2semidirect
11. C2×#90305C2semidirect
12. C2×#90310C2semidirect
13. C2×#90261C2semidirect
14. C2×#90265C2semidirect
15. C2×#90254C2semidirect
16. C2×#90229C2semidirect
20. C7×#548C22semidirect
26. #90525C22semidirect
27. #41×Dic7C22semidirect
28. #90508C22semidirect
31. #90503C22semidirect
52. #90373C22semidirect
53. #90372C22semidirect
54. #90330C22semidirect
55. #90315C22semidirect
56. #90310C22semidirect
57. #90305C22semidirect
58. #90265C22semidirect
59. #90261C22semidirect
60. #90254C22semidirect
61. #90229C22semidirect
194. C2×#548D7semidirect
295. #548C2×D7semidirect
618. C2×C7#3524semidirect
675. C7C2×#3524semidirect
707. C2#11743791direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C7×#5482
C2×#905252
C2×#41×Dic72
C2×#905082
C2×#905032
#117437912
C2×#903732
C2×#903722
C2×#903302
C2×#903152
C2×#903052
C2×#903102
C2×#902612
C2×#902652
C2×#902542
C2×#902292
C2×#35247