Finite Group Databasebeta

← C2×#11738689 #14226752

Subgroups — C2×#11738689 #14226752

Order 1792.

1754 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×#90388C211yesmaximal, characteristic
2C2×#90274C211yesmaximal, characteristic
3C2×C7×#479C211yesmaximal, characteristic, complemented
4C2×#89835C211yesmaximal, characteristic, complemented
5C2×#89803C211yesmaximal, characteristic, complemented
6#11738689C2116yesmaximal, direct product factor
7C2×#89649C211yesmaximal, characteristic, complemented
8C2×#89659C211yesmaximal, characteristic
9C2×#89629C211yesmaximal, characteristic, complemented
10C2×#89640C211yesmaximal, characteristic
11C2×#89621C211yesmaximal, characteristic, complemented
12C2×#89611C211yesmaximal, characteristic
13C2×#89565C211yesmaximal, characteristic, complemented
14C2×#89565C211yesmaximal, characteristic, complemented
15C2×#89588C211yesmaximal, characteristic
16C2×#89585C211yesmaximal, characteristic
17C2×C7×#125C2211yescharacteristic
18C2×C4×C7×Q8C2211yescharacteristic
19C2×#6509C2211yescharacteristic
20C2×#6507C2211yescharacteristic
21C22×#1144C2211yescharacteristic
22C22×#1144C2211yescharacteristic
23C22×Dic28C2211yescharacteristic
24C22×Dic28C2211yescharacteristic
25C22×#1131C2211yescharacteristic
26C22×C8×D7C2211yescharacteristic
27#90388—24no—
28#90388C2218yes—
29#90274—24no—
30#90274C2218yes—
31C2×#6461—21no—
32C2×#6461—21no—
33C2×#6461—21no—
34C2×#6460C2211yescharacteristic
35C2×#6460C2211yescharacteristic
36C2×#6460C2211yescharacteristic
37C2×#6453—21no—
38C2×#6453—21no—
39C2×#6453C2211yescharacteristic
40C2×#6452—21no—
41C2×#6450C2211yescharacteristic
42C2×#6450C2211yescharacteristic
43C2×#6439—21no—
44C2×#6435C2211yescharacteristic
45C2×#6433—21no—
46C2×#6432C2211yescharacteristic
47C2×C4×Dic14C2211yescharacteristic
48C7×#479C2218yescomplemented
49C2×C7×#107C2211yescharacteristic
50C2×C7×#106C2211yescharacteristic
51C2×C7×C4⋊C8C2211yescharacteristic
52C2×C7×#103C2211yescharacteristic
53C2×C7×#103C2211yescharacteristic
54C2×#6390C2211yescharacteristic
55C2×#6390C2211yescharacteristic
56C2×Dic7⋊C8C2211yescharacteristic
57C2×Dic7⋊C8C2211yescharacteristic
58#89835C2218yescomplemented
59#89803C2218yescomplemented
60C2×#6384C2211yescharacteristic
61C2×#6384C2211yescharacteristic
62C2×#6384C2211yescharacteristic
63C2×#6384C2211yescharacteristic
64C2×#6382C2211yescharacteristic
65C2×#6381C2211yescharacteristic
66C2×C4⋊(C7⋊C8)C2211yescharacteristic
67#89659C2218yes—
68#89649C2218yescomplemented
69#89640C2218yes—
70#89629C2218yescomplemented
71#89621C2218yescomplemented
72#89611C2218yes—
73#89588C2218yes—
74#89585C2218yes—
75#89565C2218yescomplemented
76#89565C2218yescomplemented
77C2×#3261—71nomaximal, Sylow
78C22×C7×Q8C2311yescharacteristic
79C22×C4×D7C2311yescharacteristic
80C22×Dic14C2311yescharacteristic
81C22×Dic14C2311yescharacteristic
82C22×Dic14C2311yescharacteristic
83C22×C7×C8C2311yescharacteristic
84C22×C7×C8C2311yescharacteristic
85C7×#125—22no—
86C7×#125C2314yes—
87C4×C7×Q8—22no—
88C4×C7×Q8C2314yes—
89C2×C7×C4⋊C4—21no—
90C2×C7×C4⋊C4—21no—
91C2×C7×C4⋊C4—21no—
92C2×C7×C4⋊C4C2311yescharacteristic
93C2×C7×C4⋊C4C2311yescharacteristic
94C2×C7×C4⋊C4C2311yescharacteristic
95C2×C42×C7—21no—
96C2×C42×C7C2311yescharacteristic
97#6509—22no—
98#6509C2314yes—
99#6507—22no—
100#6507C2314yes—
101C2×#1144—42no—
102C2×#1144—42no—
103C2×#1144C2314yes—
104C2×#1144C2314yes—
105C2×(C2×D7)⋊C4—21no—
106C2×(C2×D7)⋊C4—21no—
107C2×(C2×D7)⋊C4—21no—
108C2×(C2×D7)⋊C4—21no—
109C2×(C2×D7)⋊C4D411yescharacteristic
110C2×(C2×D7)⋊C4D411yescharacteristic
111C2×C4⋊Dic7—21no—
112C2×C4⋊Dic7—21no—
113C2×C4⋊Dic7—21no—
114C2×C4⋊Dic7—21no—
115C2×C4⋊Dic7—21no—
116C2×C4⋊Dic7—21no—
117C2×C4⋊Dic7C2311yescharacteristic
118C2×Dic7⋊C4—21no—
119C2×Dic7⋊C4—21no—
120C2×Dic7⋊C4—21no—
121C2×Dic7⋊C4—21no—
122C2×Dic7⋊C4—21no—
123C2×Dic7⋊C4—21no—
124C2×Dic7⋊C4—21no—
125C2×Dic7⋊C4D411yescharacteristic
126C2×Dic7⋊C4D411yescharacteristic
127C2×C4×Dic7—21no—
128C2×C4×Dic7—21no—
129C2×C4×Dic7—21no—
130C2×C4×Dic7C2311yescharacteristic
131C22×C7⋊C8C2311yescharacteristic
132C22×C7⋊C8C2311yescharacteristic
133C2×Dic28—42no—
134C2×Dic28—42no—
135C2×Dic28C2314yes—
136C2×Dic28C2314yes—
137C2×#1131—42no—
138C2×#1131C2314yes—
139C2×C8×D7—42no—
140C2×C8×D7C2314yes—
141#6461—28no—
142#6461—28no—
143#6461—28no—
144#6460—22no—
145#6460—22no—
146#6460—22no—
147#6460C2314yes—
148#6460C2314yes—
149#6460C2314yes—
150#6453—28no—
151#6453—28no—
152#6453—22no—
153#6453C2314yes—
154#6452—28no—
155#6450—22no—
156#6450—22no—
157#6450C2314yes—
158#6450C2314yes—
159#6439—28no—
160#6435D414yes—
161#6435C2314yes—
162#6433—28no—
163#6432—22no—
164#6432C2314yes—
165C4×Dic14—22no—
166C4×Dic14C2314yes—
167C7×#107C2314yes—
168C7×#106C2314yes—
169C7×C4⋊C8C2314yes—
170C7×#103C2314yes—
171C7×#103C2314yes—
172#6390C2314yes—
173#6390C2314yes—
174Dic7⋊C8C2314yes—
175Dic7⋊C8C2314yes—
176#6384C2314yes—
177#6384C2314yes—
178#6384C2314yes—
179#6384C2314yes—
180#6382C2314yes—
181#6381C2314yes—
182C4⋊(C7⋊C8)C2314yes—
183C2×#541—71no—
184C2×#541—71no—
185#3261—716no—
186C2×#479—71no—
187C2×#479—71no—
188C2×#479—71no—
189C2×#479D711yescharacteristic, complemented
190C2×#470—71no—
191C2×#470—71no—
192C2×#467—71no—
193C2×#467—71no—
194C2×#462—71no—
195C2×#462—71no—
196C2×#462—71no—
197C2×#462—71no—
198C2×#424—71no—
199C23×D7C2×D411yescharacteristic
200C2×C7×Q8—21no—
201C2×C7×Q8—22no—
202C2×C7×Q8—22no—
203C2×C7×Q8C2412yes—
204C22×C4×C7—21no—
205C22×C4×C7—21no—
206C22×C4×C7—21no—
207C22×C4×C7—21no—
208C22×C4×C7C2×D411yescharacteristic
209C22×C4×C7C2×D411yescharacteristic
210C22×C4×C7C2411yescharacteristic
211C22×Dic7—21no—
212C22×Dic7—21no—
213C22×Dic7—21no—
214C22×Dic7—21no—
215C22×Dic7C2×D411yescharacteristic
216C22×Dic7C2×D411yescharacteristic
217C22×Dic7C2×D411yescharacteristic
218C2×C4×D7—22no—
219C2×C4×D7—22no—
220C2×C4×D7C2×D412yes—
221C2×C4×D7C2412yes—
222C2×Dic14—22no—
223C2×Dic14—22no—
224C2×Dic14—22no—
225C2×Dic14—22no—
226C2×Dic14—22no—
227C2×Dic14—22no—
228C2×Dic14—21no—
229C2×Dic14—21no—
230C2×Dic14—21no—
231C2×Dic14C2412yes—
232C2×Dic14C2412yes—
233C2×Dic14C2412yes—
234C2×C7×C8—22no—
235C2×C7×C8—22no—
236C2×C7×C8C2412yes—
237C2×C7×C8C2412yes—
238C7×C4⋊C4—21no—
239C7×C4⋊C4—21no—
240C7×C4⋊C4—24no—
241C7×C4⋊C4—21no—
242C7×C4⋊C4—24no—
243C7×C4⋊C4—24no—
244C7×C4⋊C4C2412yes—
245C7×C4⋊C4C2412yes—
246C7×C4⋊C4C2412yes—
247C42×C7—24no—
248C42×C7C2×D412yes—
249C42×C7C2412yes—
250#1144—44no—
251#1144—44no—
252(C2×D7)⋊C4—24no—
253(C2×D7)⋊C4—24no—
254(C2×D7)⋊C4—24no—
255(C2×D7)⋊C4—24no—
256(C2×D7)⋊C4C2×D414yes—
257(C2×D7)⋊C4C2×D414yes—
258C4⋊Dic7—21no—
259C4⋊Dic7—24no—
260C4⋊Dic7—24no—
261C4⋊Dic7—24no—
262C4⋊Dic7—24no—
263C4⋊Dic7—24no—
264C4⋊Dic7—24no—
265C4⋊Dic7C2412yes—
266Dic7⋊C4—24no—
267Dic7⋊C4—24no—
268Dic7⋊C4—24no—
269Dic7⋊C4—24no—
270Dic7⋊C4—24no—
271Dic7⋊C4—24no—
272Dic7⋊C4—24no—
273Dic7⋊C4C2×D414yes—
274Dic7⋊C4C2×D414yes—
275C4×Dic7—24no—
276C4×Dic7—24no—
277C4×Dic7—24no—
278C4×Dic7C2×D412yes—
279C4×Dic7C2412yes—
280C2×C7⋊C8—22no—
281C2×C7⋊C8—22no—
282C2×C7⋊C8C2412yes—
283C2×C7⋊C8C2412yes—
284Dic28—44no—
285Dic28—44no—
286#1131—44no—
287C8×D7—44no—
288C22×Q16—71no—
289C22×Q16—71no—
290C22×Q16—71no—
291C22×Q16—71no—
292C22×M16—71no—
293C23×C8—71no—
294#541—78no—
295#541—78no—
296#541—144no—
297#541—144no—
298C2×C4⋊Q8—71no—
299C2×C4⋊Q8—71no—
300C2×#126—141no—
301C2×#126—141no—
302C2×#126—141no—
303C2×#126—141no—
304C2×#125—71no—
305C2×#125—141no—
306C2×#125—141no—
307C2×#125—141no—
308C2×#125—141no—
309C2×#125C2×D711yescharacteristic
310C2×C22⋊Q8—71no—
311C2×C22⋊Q8—71no—
312C2×C22⋊Q8—71no—
313C2×C22⋊Q8—71no—
314C2×C4×Q8—71no—
315C2×C4×Q8—71no—
316C2×C4×Q8—71no—
317C2×C4×Q8C2×D711yescharacteristic
318C2×#117—71no—
319#479—78no—
320#479—78no—
321#479—78no—
322#479C2×D718yescomplemented
323#470—78no—
324#470—78no—
325#467—78no—
326#467—78no—
327#462—78no—
328#462—78no—
329#462—78no—
330#462—78no—
331C2×#107—71no—
332C2×#107C2×D711yescharacteristic
333C2×#106—71no—
334C2×#106C2×D711yescharacteristic
335#424—78no—
336C2×C4⋊C8—71no—
337C2×C4⋊C8—71no—
338C2×C4⋊C8—71no—
339C2×C4⋊C8C2×D711yescharacteristic
340C2×#103—71no—
341C2×#103—71no—
342C2×#103—71no—
343C2×#103—71no—
344C2×#103—71no—
345C2×#103—71no—
346C2×#103C2×D711yescharacteristic
347C2×#103C2×D711yescharacteristic
348C23×C7C22×D411yescharacteristic
349C22×D7—22no—
350C22×D7—22no—
351C22×D7—22no—
352C22×D7C22×D412yes—
353C7×Q8—22no—
354C7×Q8—22no—
355C7×Q8—42no—
356C2×C4×C7—22no—
357C2×C4×C7—22no—
358C2×C4×C7—22no—
359C2×C4×C7—22no—
360C2×C4×C7—22no—
361C2×C4×C7—22no—
362C2×C4×C7—42no—
363C2×C4×C7—42no—
364C2×C4×C7—42no—
365C2×C4×C7—42no—
366C2×C4×C7C22×D412yes—
367C2×C4×C7C22×D412yes—
368C2×C4×C7C22×D411yescharacteristic
369C2×C4×C7H(5,𝔽2)12yes—
370C2×C4×C72−1+412yes—
371C2×C4×C7C2511yescharacteristic
372C2×Dic7—22no—
373C2×Dic7—22no—
374C2×Dic7—22no—
375C2×Dic7—22no—
376C2×Dic7—22no—
377C2×Dic7—22no—
378C2×Dic7—22no—
379C2×Dic7—42no—
380C2×Dic7—42no—
381C2×Dic7—42no—
382C2×Dic7—42no—
383C2×Dic7C22×D412yes—
384C2×Dic7C22×D412yes—
385C2×Dic7C22×D412yes—
386C4×D7—24no—
387C4×D7—22no—
388C4×D7—22no—
389Dic14—22no—
390Dic14—22no—
391Dic14—22no—
392Dic14—22no—
393Dic14—22no—
394Dic14—22no—
395Dic14—42no—
396Dic14—42no—
397Dic14—42no—
398C7×C8—22no—
399C7×C8—22no—
400C7⋊C8—22no—
401C7⋊C8—22no—
402C22×Q8—71no—
403C22×Q8—71no—
404C22×Q8—71no—
405C22×Q8C22×D711yescharacteristic
406C23×C4—71no—
407C2×Q16—74no—
408C2×Q16—74no—
409C2×Q16—74no—
410C2×Q16—74no—
411C2×Q16—282no—
412C2×Q16—282no—
413C2×Q16—282no—
414C2×Q16—282no—
415C2×M16—74no—
416C2×M16—282no—
417C22×C8—71no—
418C22×C8—71no—
419C22×C8—74no—
420C22×C8—282no—
421C22×C8C22×D711yescharacteristic
422C22×C8C22×D711yescharacteristic
423C4⋊Q8—74no—
424C4⋊Q8—74no—
425C4⋊Q8—142no—
426C4⋊Q8—142no—
427#126—148no—
428#126—148no—
429#126—148no—
430#126—148no—
431#125—22no—
432#125—74no—
433#125—148no—
434#125—142no—
435#125—148no—
436#125—148no—
437#125—148no—
438#125C22×D714yes—
439C22⋊Q8—74no—
440C22⋊Q8—74no—
441C22⋊Q8—74no—
442C22⋊Q8—74no—
443C22⋊Q8—142no—
444C22⋊Q8—142no—
445C22⋊Q8—142no—
446C22⋊Q8—142no—
447C4×Q8—22no—
448C4×Q8—74no—
449C4×Q8—74no—
450C4×Q8—74no—
451C4×Q8—142no—
452C4×Q8—142no—
453C4×Q8—142no—
454C4×Q8C22×D714yes—
455#117—74no—
456#117—74no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—71no—
461C2×C4⋊C4—71no—
462C2×C4⋊C4—71no—
463C2×C4⋊C4—141no—
464C2×C4⋊C4—141no—
465C2×C4⋊C4—141no—
466C2×C4⋊C4—141no—
467C2×C4⋊C4—141no—
468C2×C4⋊C4—141no—
469C2×C4⋊C4—141no—
470C2×C4⋊C4—141no—
471C2×C4⋊C4—141no—
472C2×C4⋊C4—141no—
473C2×C4⋊C4—141no—
474C2×C4⋊C4—141no—
475C2×C4⋊C4—141no—
476C2×C4⋊C4C22×D711yescharacteristic
477C2×C4⋊C4C22×D711yescharacteristic
478C2×C4⋊C4C22×D711yescharacteristic
479C2×C22⋊C4—71no—
480C2×C22⋊C4—71no—
481C2×C22⋊C4—141no—
482C2×C22⋊C4—141no—
483C2×C22⋊C4—141no—
484C2×C22⋊C4—141no—
485C2×C42—21no—
486C2×C42—71no—
487C2×C42—141no—
488C2×C42—141no—
489C2×C42—141no—
490C2×C42C22×D711yescharacteristic
491#107—74no—
492#107C22×D714yes—
493#106—74no—
494#106C22×D714yes—
495C4⋊C8—74no—
496C4⋊C8—74no—
497C4⋊C8—74no—
498C4⋊C8C22×D714yes—
499#103—74no—
500#103—74no—
501#103—74no—
502#103—74no—
503#103—74no—
504#103—74no—
505#103C22×D714yes—
506#103C22×D714yes—
507C22×C7#53712yes—
508C22×C7#57812yes—
509C22×C7#57812yes—
510C22×C7C23×D411yescharacteristic
511C2×D7—22no—
512C2×D7—22no—
513C2×D7—22no—
514C2×D7—44no—
515C4×C7—22no—
516C4×C7—22no—
517C4×C7—42no—
518C4×C7—42no—
519C4×C7—42no—
520C4×C7—42no—
521C4×C7#53712yes—
522C4×C7C2×H(5,𝔽2)11yescharacteristic
523C4×C7C2×2−1+411yescharacteristic
524Dic7—22no—
525Dic7—22no—
526Dic7—22no—
527Dic7—42no—
528Dic7—42no—
529Dic7—42no—
530Dic7—42no—
531C24—71no—
532C2×Q8—21no—
533C2×Q8—22no—
534C2×Q8—22no—
535C2×Q8—72no—
536C2×Q8—72no—
537C2×Q8—72no—
538C2×Q8—141no—
539C2×Q8—141no—
540C2×Q8—141no—
541C2×Q8—142no—
542C2×Q8—142no—
543C2×Q8—142no—
544C2×Q8—142no—
545C2×Q8—142no—
546C2×Q8—142no—
547C2×Q8C23×D712yes—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—71no—
553C22×C4—71no—
554C22×C4—71no—
555C22×C4—72no—
556C22×C4—72no—
557C22×C4—142no—
558C22×C4—142no—
559C22×C4—141no—
560C22×C4—141no—
561C22×C4—141no—
562C22×C4—141no—
563C22×C4D4×D711yescharacteristic
564C22×C4D4×D711yescharacteristic
565C22×C4C23×D711yescharacteristic
566Q16—284no—
567Q16—284no—
568Q16—284no—
569Q16—284no—
570M16—284no—
571C2×C8—22no—
572C2×C8—22no—
573C2×C8—72no—
574C2×C8—72no—
575C2×C8—142no—
576C2×C8—142no—
577C2×C8—284no—
578C2×C8C23×D712yes—
579C2×C8C23×D712yes—
580C4⋊C4—24no—
581C4⋊C4—24no—
582C4⋊C4—24no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—74no—
587C4⋊C4—74no—
588C4⋊C4—72no—
589C4⋊C4—144no—
590C4⋊C4—144no—
591C4⋊C4—144no—
592C4⋊C4—144no—
593C4⋊C4—144no—
594C4⋊C4—144no—
595C4⋊C4—144no—
596C4⋊C4—144no—
597C4⋊C4—144no—
598C4⋊C4—144no—
599C4⋊C4—144no—
600C4⋊C4—141no—
601C4⋊C4—144no—
602C4⋊C4—144no—
603C4⋊C4C23×D712yes—
604C4⋊C4C23×D712yes—
605C4⋊C4C23×D712yes—
606C22⋊C4—74no—
607C22⋊C4—74no—
608C22⋊C4—144no—
609C22⋊C4—144no—
610C22⋊C4—144no—
611C22⋊C4—144no—
612C42—24no—
613C42—72no—
614C42—72no—
615C42—144no—
616C42—144no—
617C42—144no—
618C42D4×D712yes—
619C42C23×D712yes—
620C2×C7#326114yescomplemented
621C2×C7C2×#53711yescharacteristic
622C2×C7C2×#57811yescharacteristic
623C2×C7C2×#57811yescharacteristic
624D7—42no—
625C23—72no—
626C23—142no—
627C23—142no—
628C23—142no—
629C23C2×D4×D711yescharacteristic
630Q8—22no—
631Q8—22no—
632Q8—42no—
633Q8—142no—
634Q8—142no—
635Q8—142no—
636Q8—142no—
637Q8—142no—
638Q8—142no—
639Q8—282no—
640Q8—282no—
641Q8—282no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—72no—
653C2×C4—72no—
654C2×C4—72no—
655C2×C4—142no—
656C2×C4—142no—
657C2×C4—142no—
658C2×C4—144no—
659C2×C4—142no—
660C2×C4—142no—
661C2×C4—142no—
662C2×C4—142no—
663C2×C4—142no—
664C2×C4—142no—
665C2×C4—282no—
666C2×C4—282no—
667C2×C4—282no—
668C2×C4—282no—
669C2×C4C2×D4×D712yes—
670C2×C4C2×D4×D712yes—
671C2×C4C2×D4×D711yescharacteristic
672C2×C4#655112yes—
673C2×C4#655312yes—
674C2×C4C24×D711yescharacteristic
675C8—22no—
676C8—22no—
677C8—142no—
678C8—142no—
679C7C2×#326111yescharacteristic, complemented, Sylow
680C22—142no—
681C22—142no—
682C22—142no—
683C22—284no—
684C22#9032012yes—
685C22#9046212yes—
686C22#9047012yes—
687C22C22×D4×D711yescharacteristic
688C4—22no—
689C4—22no—
690C4—42no—
691C4—42no—
692C4—42no—
693C4—42no—
694C4—142no—
695C4—142no—
696C4—142no—
697C4—282no—
698C4—282no—
699C4—282no—
700C4—282no—
701C4#9032012yes—
702C4C2×#655111yescharacteristic
703C4C2×#655311yescharacteristic
704C2—282no—
705C2#1173868914yesdirect product factor
706C2C2×#9032011yescharacteristic
707C2C2×#9046211yescharacteristic
708C2C2×#9047011yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C7×#479C2
socleC23×C7C22×D4
prime radicalC23×D7C2×D4
hypercenterC2×#479D7
hypocenterC7C2×#3261
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#479

Complements

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

NH ≅ G/Ntype
3. C2×C7×#479C2semidirect
4. C2×#89835C2semidirect
5. C2×#89803C2semidirect
6. #11738689C2direct (N × H)
7. C2×#89649C2semidirect
9. C2×#89629C2semidirect
11. C2×#89621C2semidirect
13. C2×#89565C2semidirect
14. C2×#89565C2semidirect
48. C7×#479C22semidirect
58. #89835C22semidirect
59. #89803C22semidirect
68. #89649C22semidirect
70. #89629C22semidirect
71. #89621C22semidirect
75. #89565C22semidirect
76. #89565C22semidirect
189. C2×#479D7semidirect
322. #479C2×D7semidirect
620. C2×C7#3261semidirect
679. C7C2×#3261semidirect
705. C2#11738689direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#903882
C2×#902742
C2×C7×#4792
C2×#898352
C2×#898032
#117386892
C2×#896492
C2×#896592
C2×#896292
C2×#896402
C2×#896212
C2×#896112
C2×#895652
C2×#895882
C2×#895852
C2×#32617