Finite Group Databasebeta

← C2×#11737933 #14226751

Subgroups — C2×#11737933 #14226751

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×#90422C211yesmaximal, characteristic
2C2×#90274C211yesmaximal, characteristic
3C2×C7×#462C211yesmaximal, characteristic, complemented
4C2×#89961C211yesmaximal, characteristic
5C2×#89960C211yesmaximal, characteristic
6C2×#89954C211yesmaximal, characteristic, complemented
7C2×#89954C211yesmaximal, characteristic, complemented
8C2×#89862C211yesmaximal, characteristic, complemented
9C2×#89794C211yesmaximal, characteristic, complemented
10#11737933C2116yesmaximal, direct product factor
11C2×#89601C211yesmaximal, characteristic, complemented
12C2×#89611C211yesmaximal, characteristic
13C2×#89588C211yesmaximal, characteristic
14C2×#89585C211yesmaximal, characteristic
15C2×#89568C211yesmaximal, characteristic, complemented
16C2×#89571C211yesmaximal, characteristic, complemented
17C22×C7×Q16C2211yescharacteristic
18C22×C7×Q16C2211yescharacteristic
19C2×C7×C4⋊Q8C2211yescharacteristic
20C2×C4×C7×Q8C2211yescharacteristic
21C2×#6509C2211yescharacteristic
22C2×#6509C2211yescharacteristic
23C2×#6509C2211yescharacteristic
24C2×Q8×Dic7C2211yescharacteristic
25C2×Q8×Dic7C2211yescharacteristic
26C2×#6507C2211yescharacteristic
27C22×#1144C2211yescharacteristic
28C22×#1144C2211yescharacteristic
29C22×#1131C2211yescharacteristic
30C22×C8×D7C2211yescharacteristic
31#90422—24no—
32#90422C2218yes—
33#90274—24no—
34#90274C2218yes—
35C2×#6461—21no—
36C2×#6461—21no—
37C2×#6461—21no—
38C2×#6460C2211yescharacteristic
39C2×#6453C2211yescharacteristic
40C2×#6452—21no—
41C2×#6452—21no—
42C2×#6452—21no—
43C2×#6439—21no—
44C2×#6435C2211yescharacteristic
45C2×#6433—21no—
46C2×#6433C2211yescharacteristic
47C2×C4×Dic14C2211yescharacteristic
48C7×#462C2218yescomplemented
49C2×C7×C4⋊C8C2211yescharacteristic
50C2×C7×#103C2211yescharacteristic
51C2×C7×#103C2211yescharacteristic
52C2×#6409C2211yescharacteristic
53C2×#6409C2211yescharacteristic
54C2×#6409C2211yescharacteristic
55C2×#6409C2211yescharacteristic
56#89961C2218yes—
57#89960C2218yes—
58#89954C2218yescomplemented
59#89954C2218yescomplemented
60C2×#6392C2211yescharacteristic
61C2×#6391C2211yescharacteristic
62C2×#6390C2211yescharacteristic
63C2×#6390C2211yescharacteristic
64C2×Dic7⋊C8C2211yescharacteristic
65C2×Dic7⋊C8C2211yescharacteristic
66#89862C2218yescomplemented
67#89794C2218yescomplemented
68C2×#6382C2211yescharacteristic
69C2×#6381C2211yescharacteristic
70C2×C4⋊(C7⋊C8)C2211yescharacteristic
71#89611C2218yes—
72#89601C2218yescomplemented
73#89588C2218yes—
74#89585C2218yes—
75#89571C2218yescomplemented
76#89568C2218yescomplemented
77C2×#3261—71nomaximal, Sylow
78C22×C7×Q8C2311yescharacteristic
79C22×C7×Q8C2311yescharacteristic
80C22×C7×Q8C2311yescharacteristic
81C22×C4×D7C2311yescharacteristic
82C22×Dic14C2311yescharacteristic
83C2×C7×Q16—42no—
84C2×C7×Q16—42no—
85C2×C7×Q16C2314yes—
86C2×C7×Q16C2314yes—
87C22×C7×C8C2311yescharacteristic
88C22×C7×C8C2311yescharacteristic
89C7×C4⋊Q8—22no—
90C7×C4⋊Q8C2314yes—
91C4×C7×Q8—22no—
92C4×C7×Q8C2314yes—
93C2×C7×C4⋊C4—21no—
94C2×C7×C4⋊C4—21no—
95C2×C7×C4⋊C4—21no—
96C2×C7×C4⋊C4C2311yescharacteristic
97C2×C42×C7—21no—
98C2×C42×C7C2311yescharacteristic
99#6509—22no—
100#6509—22no—
101#6509—22no—
102#6509C2314yes—
103#6509C2314yes—
104#6509C2314yes—
105Q8×Dic7—22no—
106Q8×Dic7—22no—
107Q8×Dic7C2314yes—
108Q8×Dic7C2314yes—
109#6507—22no—
110#6507C2314yes—
111C2×#1144—42no—
112C2×#1144—42no—
113C2×#1144C2314yes—
114C2×#1144C2314yes—
115C2×(C2×D7)⋊C4—21no—
116C2×(C2×D7)⋊C4—21no—
117C2×(C2×D7)⋊C4—21no—
118C2×(C2×D7)⋊C4—21no—
119C2×(C2×D7)⋊C4D411yescharacteristic
120C2×(C2×D7)⋊C4D411yescharacteristic
121C2×C4⋊Dic7—21no—
122C2×C4⋊Dic7—21no—
123C2×C4⋊Dic7—21no—
124C2×C4⋊Dic7—21no—
125C2×C4⋊Dic7C2311yescharacteristic
126C2×C4⋊Dic7C2311yescharacteristic
127C2×C4⋊Dic7C2311yescharacteristic
128C2×Dic7⋊C4—21no—
129C2×Dic7⋊C4—21no—
130C2×Dic7⋊C4—21no—
131C2×Dic7⋊C4—21no—
132C2×Dic7⋊C4—21no—
133C2×Dic7⋊C4—21no—
134C2×Dic7⋊C4—21no—
135C2×Dic7⋊C4—21no—
136C2×Dic7⋊C4—21no—
137C2×Dic7⋊C4D411yescharacteristic
138C2×Dic7⋊C4D411yescharacteristic
139C2×C4×Dic7—21no—
140C2×C4×Dic7—21no—
141C2×C4×Dic7—21no—
142C2×C4×Dic7C2311yescharacteristic
143C22×C7⋊C8C2311yescharacteristic
144C22×C7⋊C8C2311yescharacteristic
145C2×#1131—42no—
146C2×#1131C2314yes—
147C2×C8×D7—42no—
148C2×C8×D7C2314yes—
149#6461—28no—
150#6461—28no—
151#6461—28no—
152#6460—22no—
153#6460C2314yes—
154#6453—22no—
155#6453C2314yes—
156#6452—28no—
157#6452—28no—
158#6452—28no—
159#6439—28no—
160#6435D414yes—
161#6435C2314yes—
162#6433—22no—
163#6433—28no—
164#6433C2314yes—
165C4×Dic14—22no—
166C4×Dic14C2314yes—
167C7×C4⋊C8C2314yes—
168C7×#103C2314yes—
169C7×#103C2314yes—
170#6409C2314yes—
171#6409C2314yes—
172#6409C2314yes—
173#6409C2314yes—
174#6392C2314yes—
175#6391C2314yes—
176#6390C2314yes—
177#6390C2314yes—
178Dic7⋊C8C2314yes—
179Dic7⋊C8C2314yes—
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×#479—71no—
190C2×#470—71no—
191C2×#470—71no—
192C2×#467—71no—
193C2×#467—71no—
194C2×#462—71no—
195C2×#462—71no—
196C2×#462—71no—
197C2×#462D711yescharacteristic, complemented
198C2×#424—71no—
199C23×D7C2×D411yescharacteristic
200C2×C7×Q8—21no—
201C2×C7×Q8—21no—
202C2×C7×Q8—21no—
203C2×C7×Q8—22no—
204C2×C7×Q8—22no—
205C2×C7×Q8—22no—
206C2×C7×Q8—22no—
207C2×C7×Q8—22no—
208C2×C7×Q8—22no—
209C2×C7×Q8C2412yes—
210C2×C7×Q8C2412yes—
211C2×C7×Q8C2412yes—
212C22×C4×C7—21no—
213C22×C4×C7—21no—
214C22×C4×C7—21no—
215C22×C4×C7—21no—
216C22×C4×C7C2×D411yescharacteristic
217C22×C4×C7C2×D411yescharacteristic
218C22×C4×C7C2411yescharacteristic
219C22×Dic7—21no—
220C22×Dic7—21no—
221C22×Dic7—21no—
222C22×Dic7—21no—
223C22×Dic7C2×D411yescharacteristic
224C22×Dic7C2×D411yescharacteristic
225C22×Dic7C2×D411yescharacteristic
226C2×C4×D7—22no—
227C2×C4×D7—22no—
228C2×C4×D7C2×D412yes—
229C2×C4×D7C2412yes—
230C2×Dic14—22no—
231C2×Dic14—22no—
232C2×Dic14—21no—
233C2×Dic14C2412yes—
234C7×Q16—44no—
235C7×Q16—44no—
236C2×C7×C8—22no—
237C2×C7×C8—22no—
238C2×C7×C8C2412yes—
239C2×C7×C8C2412yes—
240C7×C4⋊C4—24no—
241C7×C4⋊C4—24no—
242C7×C4⋊C4—24no—
243C7×C4⋊C4—21no—
244C7×C4⋊C4C2412yes—
245C42×C7—24no—
246C42×C7C2×D412yes—
247C42×C7C2412yes—
248#1144—44no—
249#1144—44no—
250(C2×D7)⋊C4—24no—
251(C2×D7)⋊C4—24no—
252(C2×D7)⋊C4—24no—
253(C2×D7)⋊C4—24no—
254(C2×D7)⋊C4C2×D414yes—
255(C2×D7)⋊C4C2×D414yes—
256C4⋊Dic7—21no—
257C4⋊Dic7—21no—
258C4⋊Dic7—21no—
259C4⋊Dic7—24no—
260C4⋊Dic7—24no—
261C4⋊Dic7—24no—
262C4⋊Dic7—24no—
263C4⋊Dic7C2412yes—
264C4⋊Dic7C2412yes—
265C4⋊Dic7C2412yes—
266Dic7⋊C4—24no—
267Dic7⋊C4—24no—
268Dic7⋊C4—24no—
269Dic7⋊C4—24no—
270Dic7⋊C4—24no—
271Dic7⋊C4—24no—
272Dic7⋊C4—24no—
273Dic7⋊C4—24no—
274Dic7⋊C4—24no—
275Dic7⋊C4C2×D414yes—
276Dic7⋊C4C2×D414yes—
277C4×Dic7—24no—
278C4×Dic7—24no—
279C4×Dic7—24no—
280C4×Dic7C2×D412yes—
281C4×Dic7C2412yes—
282C2×C7⋊C8—22no—
283C2×C7⋊C8—22no—
284C2×C7⋊C8C2412yes—
285C2×C7⋊C8C2412yes—
286#1131—44no—
287C8×D7—44no—
288C22×Q16—71no—
289C22×Q16—71no—
290C22×Q16C2×D711yescharacteristic
291C22×Q16C2×D711yescharacteristic
292C22×M16—71no—
293C23×C8—71no—
294#541—78no—
295#541—78no—
296#541—144no—
297#541—144no—
298C2×C4⋊Q8—71no—
299C2×C4⋊Q8C2×D711yescharacteristic
300C2×#126—141no—
301C2×#126—141no—
302C2×#126—141no—
303C2×#126—141no—
304C2×#125—71no—
305C2×#125—71no—
306C2×#125—141no—
307C2×#125—141no—
308C2×#125—141no—
309C2×#125—141no—
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#479—78no—
323#470—78no—
324#470—78no—
325#467—78no—
326#467—78no—
327#462—78no—
328#462—78no—
329#462—78no—
330#462C2×D718yescomplemented
331C2×#107—71no—
332C2×#107—71no—
333C2×#106—71no—
334C2×#106—71no—
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—22no—
356C7×Q8—22no—
357C7×Q8—22no—
358C7×Q8—22no—
359C7×Q8—42no—
360C7×Q8—42no—
361C7×Q8—42no—
362C2×C4×C7—22no—
363C2×C4×C7—22no—
364C2×C4×C7—22no—
365C2×C4×C7—22no—
366C2×C4×C7—22no—
367C2×C4×C7—22no—
368C2×C4×C7—42no—
369C2×C4×C7—42no—
370C2×C4×C7—42no—
371C2×C4×C7—42no—
372C2×C4×C7C22×D412yes—
373C2×C4×C7C22×D412yes—
374C2×C4×C7C22×D411yescharacteristic
375C2×C4×C7H(5,𝔽2)12yes—
376C2×C4×C72−1+412yes—
377C2×C4×C7C2511yescharacteristic
378C2×Dic7—22no—
379C2×Dic7—22no—
380C2×Dic7—22no—
381C2×Dic7—22no—
382C2×Dic7—22no—
383C2×Dic7—22no—
384C2×Dic7—22no—
385C2×Dic7—42no—
386C2×Dic7—42no—
387C2×Dic7—42no—
388C2×Dic7—42no—
389C2×Dic7C22×D412yes—
390C2×Dic7C22×D412yes—
391C2×Dic7C22×D412yes—
392C4×D7—24no—
393C4×D7—22no—
394C4×D7—22no—
395Dic14—22no—
396Dic14—22no—
397Dic14—42no—
398C7×C8—22no—
399C7×C8—22no—
400C7⋊C8—22no—
401C7⋊C8—22no—
402C22×Q8—71no—
403C22×Q8C22×D711yescharacteristic
404C22×Q8C22×D711yescharacteristic
405C22×Q8C22×D711yescharacteristic
406C23×C4—71no—
407C2×Q16—42no—
408C2×Q16—42no—
409C2×Q16—74no—
410C2×Q16—74no—
411C2×Q16—282no—
412C2×Q16—282no—
413C2×Q16C22×D714yes—
414C2×Q16C22×D714yes—
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—22no—
424C4⋊Q8—74no—
425C4⋊Q8—142no—
426C4⋊Q8C22×D714yes—
427#126—148no—
428#126—148no—
429#126—148no—
430#126—148no—
431#125—74no—
432#125—74no—
433#125—148no—
434#125—142no—
435#125—148no—
436#125—148no—
437#125—148no—
438#125—142no—
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—71no—
464C2×C4⋊C4—71no—
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⋊C4—141no—
477C2×C4⋊C4—141no—
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#107—74no—
493#106—74no—
494#106—74no—
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—21no—
534C2×Q8—21no—
535C2×Q8—22no—
536C2×Q8—22no—
537C2×Q8—22no—
538C2×Q8—22no—
539C2×Q8—22no—
540C2×Q8—22no—
541C2×Q8—72no—
542C2×Q8—141no—
543C2×Q8—142no—
544C2×Q8—142no—
545C2×Q8C23×D712yes—
546C2×Q8C23×D712yes—
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—44no—
567Q16—44no—
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—74no—
585C4⋊C4—74no—
586C4⋊C4—72no—
587C4⋊C4—72no—
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—144no—
601C4⋊C4—144no—
602C4⋊C4—141no—
603C4⋊C4—141no—
604C4⋊C4—141no—
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—22no—
633Q8—22no—
634Q8—22no—
635Q8—22no—
636Q8—42no—
637Q8—42no—
638Q8—42no—
639Q8—142no—
640Q8—142no—
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#654812yes—
673C2×C4#655412yes—
674C2×C4C24×D711yescharacteristic
675C8—22no—
676C8—22no—
677C8—142no—
678C8—142no—
679C7C2×#326111yescharacteristic, complemented, Sylow
680C22—142no—
681C22—142no—
682C22—142no—
683C22—284no—
684C22#9029912yes—
685C22#9045712yes—
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#9029912yes—
702C4C2×#654811yescharacteristic
703C4C2×#655411yescharacteristic
704C2—282no—
705C2#1173793314yesdirect product factor
706C2C2×#9029911yescharacteristic
707C2C2×#9045711yescharacteristic
708C2C2×#9047011yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C7×#462C2
socleC23×C7C22×D4
prime radicalC23×D7C2×D4
hypercenterC2×#462D7
hypocenterC7C2×#3261
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#462

Complements

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

NH ≅ G/Ntype
3. C2×C7×#462C2semidirect
6. C2×#89954C2semidirect
7. C2×#89954C2semidirect
8. C2×#89862C2semidirect
9. C2×#89794C2semidirect
10. #11737933C2direct (N × H)
11. C2×#89601C2semidirect
15. C2×#89568C2semidirect
16. C2×#89571C2semidirect
48. C7×#462C22semidirect
58. #89954C22semidirect
59. #89954C22semidirect
66. #89862C22semidirect
67. #89794C22semidirect
72. #89601C22semidirect
75. #89571C22semidirect
76. #89568C22semidirect
197. C2×#462D7semidirect
330. #462C2×D7semidirect
620. C2×C7#3261semidirect
679. C7C2×#3261semidirect
705. C2#11737933direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#904222
C2×#902742
C2×C7×#4622
C2×#899612
C2×#899602
C2×#899542
C2×#898622
C2×#897942
#117379332
C2×#896012
C2×#896112
C2×#895882
C2×#895852
C2×#895682
C2×#895712
C2×#32617