Finite Group Databasebeta

← C2×#11736920 #14232425

Subgroups — C2×#11736920 #14232425

Order 1792.

1834 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×#90233C211yesmaximal, characteristic
2C2×#90232C211yesmaximal, characteristic
3C2×C7×#435C211yesmaximal, characteristic
4C2×#89909C211yesmaximal, characteristic, complemented
5C2×#89893C211yesmaximal, characteristic, complemented
6C2×#89888C211yesmaximal, characteristic, complemented
7C2×#89878C211yesmaximal, characteristic, complemented
8#11736920C2116yesmaximal, direct product factor
9C2×#89601C211yesmaximal, characteristic, complemented
10C2×#89622C211yesmaximal, characteristic, complemented
11C2×#89494C211yesmaximal, characteristic, complemented
12C2×#89495C211yesmaximal, characteristic, complemented
13C2×#89495C211yesmaximal, characteristic, complemented
14C2×#89495C211yesmaximal, characteristic, complemented
15C2×#89488C211yesmaximal, characteristic, complemented
16C2×#89474C211yesmaximal, characteristic, complemented
17C22×C7×M16C2211yescharacteristic
18C23×C7×C8C2211yescharacteristic
19C2×C4×C7×D4C2211yescharacteristic
20C2×#6499—21no—
21C2×#6498—21no—
22C2×#6489C2211yescharacteristic
23C2×#6489C2211yescharacteristic
24C2×#6489C2211yescharacteristic
25C22×C4⋊Dic7C2211yescharacteristic
26C2×#6487C2211yescharacteristic
27C2×#6487C2211yescharacteristic
28C2×#6487C2211yescharacteristic
29C2×#6487C2211yescharacteristic
30C22×Dic28C2211yescharacteristic
31#90233—24no—
32#90233C2218yes—
33#90232—24no—
34#90232C2218yes—
35C2×#6452—21no—
36C2×#6450—21no—
37C2×#6442—21no—
38C2×#6442—21no—
39C2×#6442—21no—
40C2×#6440—21no—
41C2×#6433C2211yescharacteristic
42C2×#6432C2211yescharacteristic
43C2×C4×Dic14C2211yescharacteristic
44C2×C4×Dic14C2211yescharacteristic
45C7×#435C2218yes—
46C2×C7×C4⋊C8C2211yescharacteristic
47C2×C7×C22⋊C8C2211yescharacteristic
48C2×C7×C22⋊C8C2211yescharacteristic
49C2×C7×#97C2211yescharacteristic
50#89909C2218yescomplemented
51#89893C2218yescomplemented
52#89888C2218yescomplemented
53#89878C2218yescomplemented
54C2×#6392C2211yescharacteristic
55C2×#6392C2211yescharacteristic
56C2×#6392C2211yescharacteristic
57C2×#6392C2211yescharacteristic
58C2×#6392C2211yescharacteristic
59C2×#6391C2211yescharacteristic
60C2×#6391C2211yescharacteristic
61C2×#6391C2211yescharacteristic
62C2×#6391C2211yescharacteristic
63C2×#6390C2211yescharacteristic
64C2×#6390C2211yescharacteristic
65C2×#6390C2211yescharacteristic
66C2×#6390C2211yescharacteristic
67C2×#6390C2211yescharacteristic
68C2×#6390C2211yescharacteristic
69#89622C2218yescomplemented
70#89601C2218yescomplemented
71#89495C2218yescomplemented
72#89495C2218yescomplemented
73#89495C2218yescomplemented
74#89494C2218yescomplemented
75#89488C2218yescomplemented
76#89474C2218yescomplemented
77C2×#3349—71nomaximal, Sylow
78C22×C7×D4D411yescharacteristic
79C23×C4×C7C2311yescharacteristic
80C23×C4×C7C2311yescharacteristic
81C23×Dic7—21no—
82C22×Dic14—21no—
83C22×Dic14C2311yescharacteristic
84C22×Dic14C2311yescharacteristic
85C2×C7×M16—24no—
86C2×C7×M16C2314yes—
87C22×C7×C8—24no—
88C22×C7×C8C2311yescharacteristic
89C22×C7×C8C2311yescharacteristic
90C22×C7×C8C2311yescharacteristic
91C22×C7×C8C2314yes—
92C22×C7×C8C2311yescharacteristic
93C4×C7×D4D414yes—
94C4×C7×D4C2314yes—
95C2×C7×C4⋊C4D411yescharacteristic
96C2×C7×C22⋊C4D411yescharacteristic
97C2×C7×C22⋊C4D411yescharacteristic
98C2×C42×C7C2311yescharacteristic
99C2×C22⋊Dic7—21no—
100C2×C22⋊Dic7—21no—
101C2×C22⋊Dic7—21no—
102C2×C22⋊Dic7—21no—
103C2×C22⋊Dic7—21no—
104C2×C22⋊Dic7—21no—
105C2×C22⋊Dic7—21no—
106#6499—28no—
107#6498—28no—
108#6489—22no—
109#6489—22no—
110#6489—22no—
111#6489C2314yes—
112#6489C2314yes—
113#6489C2314yes—
114C2×C4⋊Dic7—21no—
115C2×C4⋊Dic7—21no—
116C2×C4⋊Dic7—22no—
117C2×C4⋊Dic7C2311yescharacteristic
118C2×C4⋊Dic7C2311yescharacteristic
119C2×C4⋊Dic7C2311yescharacteristic
120C2×C4⋊Dic7C2311yescharacteristic
121C2×C4⋊Dic7C2311yescharacteristic
122C2×C4⋊Dic7C2311yescharacteristic
123C2×C4⋊Dic7C2314yes—
124#6487—22no—
125#6487—22no—
126#6487—22no—
127#6487—22no—
128#6487C2314yes—
129#6487C2314yes—
130#6487C2314yes—
131#6487C2314yes—
132C2×Dic7⋊C4—21no—
133C2×Dic7⋊C4—21no—
134C2×Dic7⋊C4—21no—
135C2×Dic7⋊C4—21no—
136C2×Dic7⋊C4—21no—
137C2×Dic7⋊C4—21no—
138C2×Dic7⋊C4—21no—
139C2×Dic7⋊C4—21no—
140C2×C4×Dic7—21no—
141C2×C4×Dic7—21no—
142C2×C4×Dic7—21no—
143C2×C4×Dic7—21no—
144C2×C4×Dic7—21no—
145C2×Dic28—24no—
146C2×Dic28C2314yes—
147#6452—28no—
148#6450—28no—
149#6442—28no—
150#6442—28no—
151#6442—28no—
152#6440—28no—
153#6433—22no—
154#6433C2314yes—
155#6432—22no—
156#6432C2314yes—
157C4×Dic14—22no—
158C4×Dic14—22no—
159C4×Dic14C2314yes—
160C4×Dic14C2314yes—
161C7×C4⋊C8C2314yes—
162C7×C22⋊C8C2314yes—
163C7×C22⋊C8C2314yes—
164C7×#97C2314yes—
165#6392C2314yes—
166#6392C2314yes—
167#6392C2314yes—
168#6392C2314yes—
169#6392C2314yes—
170#6391C2314yes—
171#6391C2314yes—
172#6391C2314yes—
173#6391C2314yes—
174#6390C2314yes—
175#6390C2314yes—
176#6390C2314yes—
177#6390C2314yes—
178#6390C2314yes—
179#6390C2314yes—
180C2×#556—71no—
181C2×#552—71no—
182#3349—716no—
183C2×#501—71no—
184C2×#484—71no—
185C2×#485—71no—
186C2×#485—71no—
187C2×#485—71no—
188C2×#479—71no—
189C2×#477—71no—
190C2×#470—71no—
191C2×#467—71no—
192C2×#441—71no—
193C2×#435D711yescharacteristic
194C2×#428—71no—
195C2×#427—71no—
196C24×C7C2×D411yescharacteristic
197C24×C7C2×D411yescharacteristic
198C2×C7×D4—42no—
199C2×C7×D4C2×D414yes—
200C22×C4×C7—22no—
201C22×C4×C7—22no—
202C22×C4×C7—22no—
203C22×C4×C7—22no—
204C22×C4×C7C2×D411yescharacteristic
205C22×C4×C7C2×D411yescharacteristic
206C22×C4×C7C2×D411yescharacteristic
207C22×C4×C7C2×D411yescharacteristic
208C22×C4×C7C2×D412yes—
209C22×C4×C7C2×D412yes—
210C22×C4×C7C2412yes—
211C22×C4×C7C2412yes—
212C22×C4×C7C2411yescharacteristic
213C22×Dic7—24no—
214C22×Dic7—21no—
215C22×Dic7—21no—
216C22×Dic7—21no—
217C22×Dic7—21no—
218C22×Dic7—21no—
219C22×Dic7—21no—
220C22×Dic7—21no—
221C22×Dic7—21no—
222C22×Dic7—44no—
223C2×Dic14—22no—
224C2×Dic14—22no—
225C2×Dic14—22no—
226C2×Dic14—22no—
227C2×Dic14—21no—
228C2×Dic14—21no—
229C2×Dic14—24no—
230C2×Dic14—44no—
231C2×Dic14C2412yes—
232C2×Dic14C2412yes—
233C7×M16—28no—
234C2×C7×C8—22no—
235C2×C7×C8—22no—
236C2×C7×C8—22no—
237C2×C7×C8—28no—
238C2×C7×C8#4114yes—
239C2×C7×C8C2412yes—
240C2×C7×C8C2412yes—
241C2×C7×C8C2412yes—
242C2×C7×C8C2412yes—
243C7×C4⋊C4C2×D414yes—
244C7×C22⋊C4C2×D414yes—
245C7×C22⋊C4C2×D414yes—
246C42×C7C2×D412yes—
247C42×C7C2412yes—
248C22⋊Dic7—24no—
249C22⋊Dic7—24no—
250C22⋊Dic7—24no—
251C22⋊Dic7—24no—
252C22⋊Dic7—24no—
253C22⋊Dic7—24no—
254C22⋊Dic7—24no—
255C4⋊Dic7—21no—
256C4⋊Dic7—21no—
257C4⋊Dic7—21no—
258C4⋊Dic7—21no—
259C4⋊Dic7—24no—
260C4⋊Dic7—21no—
261C4⋊Dic7—21no—
262C4⋊Dic7—24no—
263C4⋊Dic7C2412yes—
264C4⋊Dic7C2412yes—
265C4⋊Dic7C2412yes—
266C4⋊Dic7C2412yes—
267C4⋊Dic7C2412yes—
268C4⋊Dic7C2412yes—
269Dic7⋊C4—24no—
270Dic7⋊C4—24no—
271Dic7⋊C4—24no—
272Dic7⋊C4—24no—
273Dic7⋊C4—24no—
274Dic7⋊C4—24no—
275Dic7⋊C4—24no—
276Dic7⋊C4—24no—
277C4×Dic7—24no—
278C4×Dic7—24no—
279C4×Dic7—24no—
280C4×Dic7—24no—
281C4×Dic7—24no—
282Dic28—28no—
283C22×Q16—71no—
284C22×M16C2×D711yescharacteristic
285C23×C8C2×D711yescharacteristic
286#556—78no—
287#556—144no—
288#552—78no—
289#552—144no—
290C2×C4⋊Q8—71no—
291C2×#126—141no—
292C2×#126—141no—
293C2×#126—141no—
294C2×#125—71no—
295C2×#125—141no—
296C2×#124—141no—
297C2×#123—141no—
298C2×C22⋊Q8—71no—
299C2×C22⋊Q8—71no—
300C2×C22⋊Q8—71no—
301C2×C22⋊Q8—71no—
302C2×C4×Q8—71no—
303C2×C4×Q8—71no—
304C2×C4×Q8—141no—
305C2×C4×D4C2×D711yescharacteristic
306C2×#117—71no—
307C2×#117—71no—
308C2×#117—71no—
309C2×#117—141no—
310C22×C4⋊C4—71no—
311#501—78no—
312#485—78no—
313#485—78no—
314#485—78no—
315#484—78no—
316#479—78no—
317#477—78no—
318#470—78no—
319#467—78no—
320#441—78no—
321#435C2×D718yes—
322#428—78no—
323#427—78no—
324C2×#107—71no—
325C2×#107—71no—
326C2×#107—71no—
327C2×#107—71no—
328C2×#107—71no—
329C2×#106—71no—
330C2×#106—71no—
331C2×#106—71no—
332C2×#106—71no—
333C2×C4⋊C8C2×D711yescharacteristic
334C2×#103—71no—
335C2×#103—71no—
336C2×#103—71no—
337C2×#103—71no—
338C2×#103—71no—
339C2×#103—71no—
340C2×C22⋊C8C2×D711yescharacteristic
341C2×C22⋊C8C2×D711yescharacteristic
342C2×#97C2×D711yescharacteristic
343C23×C7—22no—
344C23×C7—22no—
345C23×C7—22no—
346C23×C7—22no—
347C23×C7—22no—
348C23×C7—22no—
349C23×C7C22×D412yes—
350C23×C7C22×D412yes—
351C23×C7C22×D411yescharacteristic
352C7×D4—44no—
353C2×C4×C7—22no—
354C2×C4×C7—22no—
355C2×C4×C7—22no—
356C2×C4×C7—22no—
357C2×C4×C7—24no—
358C2×C4×C7—24no—
359C2×C4×C7—22no—
360C2×C4×C7—22no—
361C2×C4×C7—22no—
362C2×C4×C7—22no—
363C2×C4×C7C22×D412yes—
364C2×C4×C7C22×D412yes—
365C2×C4×C7C22×D412yes—
366C2×C4×C7C22×D412yes—
367C2×C4×C7C22×D411yescharacteristic
368C2×C4×C7C2×#4112yes—
369C2×C4×C72−1+412yes—
370C2×C4×C7C2511yescharacteristic
371C2×Dic7—22no—
372C2×Dic7—22no—
373C2×Dic7—22no—
374C2×Dic7—22no—
375C2×Dic7—22no—
376C2×Dic7—22no—
377C2×Dic7—22no—
378C2×Dic7—22no—
379C2×Dic7—48no—
380C2×Dic7—42no—
381C2×Dic7—42no—
382C2×Dic7—42no—
383C2×Dic7—42no—
384C2×Dic7—42no—
385C2×Dic7—42no—
386C2×Dic7—42no—
387C2×Dic7—42no—
388Dic14—22no—
389Dic14—22no—
390Dic14—22no—
391Dic14—22no—
392Dic14—48no—
393Dic14—42no—
394Dic14—42no—
395C7×C8—22no—
396C7×C8—22no—
397C7×C8—22no—
398C7×C8C2×#4114yes—
399C22×Q8—71no—
400C22×Q8—71no—
401C22×Q8—141no—
402C22×D4D2811yescharacteristic
403C23×C4—141no—
404C23×C4C22×D711yescharacteristic
405C23×C4C22×D711yescharacteristic
406C2×Q16—74no—
407C2×Q16—144no—
408C2×M16—24no—
409C2×M16C22×D714yes—
410C22×C8—24no—
411C22×C8C22×D711yescharacteristic
412C22×C8C22×D714yes—
413C22×C8C22×D711yescharacteristic
414C22×C8C22×D711yescharacteristic
415C22×C8C22×D711yescharacteristic
416C4⋊Q8—74no—
417C4⋊Q8—142no—
418#126—148no—
419#126—148no—
420#126—148no—
421#125—74no—
422#125—148no—
423#125—142no—
424#124—148no—
425#123—148no—
426C22⋊Q8—74no—
427C22⋊Q8—74no—
428C22⋊Q8—74no—
429C22⋊Q8—74no—
430C22⋊Q8—142no—
431C22⋊Q8—142no—
432C22⋊Q8—142no—
433C22⋊Q8—142no—
434C4×Q8—74no—
435C4×Q8—74no—
436C4×Q8—148no—
437C4×Q8—142no—
438C4×Q8—142no—
439C4×D4D2814yes—
440C4×D4C22×D714yes—
441#117—74no—
442#117—74no—
443#117—74no—
444#117—142no—
445#117—142no—
446#117—142no—
447#117—148no—
448C2×C4⋊C4—71no—
449C2×C4⋊C4—71no—
450C2×C4⋊C4—74no—
451C2×C4⋊C4—71no—
452C2×C4⋊C4—71no—
453C2×C4⋊C4—71no—
454C2×C4⋊C4—71no—
455C2×C4⋊C4—141no—
456C2×C4⋊C4—142no—
457C2×C4⋊C4—141no—
458C2×C4⋊C4—141no—
459C2×C4⋊C4—141no—
460C2×C4⋊C4—141no—
461C2×C4⋊C4—141no—
462C2×C4⋊C4—141no—
463C2×C4⋊C4—141no—
464C2×C4⋊C4—141no—
465C2×C4⋊C4—141no—
466C2×C4⋊C4D2811yescharacteristic
467C2×C22⋊C4—141no—
468C2×C22⋊C4—141no—
469C2×C22⋊C4—141no—
470C2×C22⋊C4—141no—
471C2×C22⋊C4—141no—
472C2×C22⋊C4—141no—
473C2×C22⋊C4—141no—
474C2×C22⋊C4D2811yescharacteristic
475C2×C22⋊C4D2811yescharacteristic
476C2×C42—141no—
477C2×C42—141no—
478C2×C42—141no—
479C2×C42—141no—
480C2×C42—141no—
481C2×C42C22×D711yescharacteristic
482#107—74no—
483#107—74no—
484#107—74no—
485#107—74no—
486#107—74no—
487#106—74no—
488#106—74no—
489#106—74no—
490#106—74no—
491C4⋊C8C22×D714yes—
492#103—74no—
493#103—74no—
494#103—74no—
495#103—74no—
496#103—74no—
497#103—74no—
498C22⋊C8C22×D714yes—
499C22⋊C8C22×D714yes—
500#97C22×D714yes—
501C22×C7—22no—
502C22×C7—22no—
503C22×C7—22no—
504C22×C7—22no—
505C22×C7—22no—
506C22×C7—22no—
507C22×C7—44no—
508C22×C7—44no—
509C22×C7#54712yes—
510C22×C7#57512yes—
511C22×C7#57812yes—
512C22×C7C23×D411yescharacteristic
513C4×C7—22no—
514C4×C7—22no—
515C4×C7—22no—
516C4×C7—22no—
517C4×C7#54712yes—
518C4×C7C22×#4111yescharacteristic
519C4×C7C2×2−1+411yescharacteristic
520Dic7—42no—
521Dic7—42no—
522Dic7—42no—
523Dic7—42no—
524Dic7—42no—
525Dic7—42no—
526Dic7—42no—
527Dic7—42no—
528C24C2×D2811yescharacteristic
529C24C2×D2811yescharacteristic
530C2×Q8—72no—
531C2×Q8—72no—
532C2×Q8—141no—
533C2×Q8—141no—
534C2×Q8—144no—
535C2×Q8—142no—
536C2×Q8—142no—
537C2×Q8—142no—
538C2×Q8—142no—
539C2×Q8—284no—
540C2×D4—42no—
541C2×D4C2×D2814yes—
542C22×C4—22no—
543C22×C4—22no—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—144no—
547C22×C4—141no—
548C22×C4—141no—
549C22×C4—141no—
550C22×C4—141no—
551C22×C4—141no—
552C22×C4—141no—
553C22×C4—141no—
554C22×C4—141no—
555C22×C4—284no—
556C22×C4C2×D2812yes—
557C22×C4C2×D2812yes—
558C22×C4C2×D2811yescharacteristic
559C22×C4C2×D2811yescharacteristic
560C22×C4C2×D2811yescharacteristic
561C22×C4C2×D2811yescharacteristic
562C22×C4C23×D712yes—
563C22×C4C23×D712yes—
564C22×C4C23×D711yescharacteristic
565Q16—148no—
566M16—28no—
567C2×C8—22no—
568C2×C8—22no—
569C2×C8—22no—
570C2×C8—28no—
571C2×C8#115914yes—
572C2×C8C23×D712yes—
573C2×C8C23×D712yes—
574C2×C8C23×D712yes—
575C2×C8C23×D712yes—
576C4⋊C4—72no—
577C4⋊C4—72no—
578C4⋊C4—72no—
579C4⋊C4—72no—
580C4⋊C4—72no—
581C4⋊C4—72no—
582C4⋊C4—144no—
583C4⋊C4—144no—
584C4⋊C4—144no—
585C4⋊C4—144no—
586C4⋊C4—144no—
587C4⋊C4—144no—
588C4⋊C4—144no—
589C4⋊C4—144no—
590C4⋊C4—141no—
591C4⋊C4—141no—
592C4⋊C4—144no—
593C4⋊C4—141no—
594C4⋊C4—141no—
595C4⋊C4—141no—
596C4⋊C4—141no—
597C4⋊C4—144no—
598C4⋊C4C2×D2814yes—
599C22⋊C4—144no—
600C22⋊C4—144no—
601C22⋊C4—144no—
602C22⋊C4—144no—
603C22⋊C4—144no—
604C22⋊C4—144no—
605C22⋊C4—144no—
606C22⋊C4C2×D2814yes—
607C22⋊C4C2×D2814yes—
608C42—144no—
609C42—144no—
610C42—144no—
611C42—144no—
612C42—144no—
613C42C2×D2812yes—
614C42C23×D712yes—
615C2×C7—42no—
616C2×C7—42no—
617C2×C7#334914yescomplemented
618C2×C7C2×#54711yescharacteristic
619C2×C7C2×#57511yescharacteristic
620C2×C7C2×#57811yescharacteristic
621C23—22no—
622C23—22no—
623C23—22no—
624C23—22no—
625C23—22no—
626C23—22no—
627C23C22×D2812yes—
628C23C22×D2812yes—
629C23C22×D2811yescharacteristic
630Q8—142no—
631Q8—142no—
632Q8—142no—
633Q8—142no—
634Q8—288no—
635Q8—282no—
636Q8—282no—
637D4—44no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—142no—
649C2×C4—142no—
650C2×C4—142no—
651C2×C4—142no—
652C2×C4—142no—
653C2×C4—142no—
654C2×C4—142no—
655C2×C4—142no—
656C2×C4—288no—
657C2×C4—282no—
658C2×C4—282no—
659C2×C4—282no—
660C2×C4—282no—
661C2×C4—282no—
662C2×C4—282no—
663C2×C4—282no—
664C2×C4—282no—
665C2×C4C22×D2812yes—
666C2×C4C22×D2812yes—
667C2×C4C22×D2812yes—
668C2×C4C22×D2812yes—
669C2×C4C22×D2811yescharacteristic
670C2×C4C2×#115912yes—
671C2×C4#655412yes—
672C2×C4C24×D711yescharacteristic
673C8—22no—
674C8—22no—
675C8—22no—
676C8C2×#115914yes—
677C7C2×#334911yescharacteristic, complemented, Sylow
678C22—22no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—22no—
683C22—22no—
684C22—44no—
685C22—44no—
686C22#9024612yes—
687C22#9043912yes—
688C22#9044412yes—
689C22C23×D2811yescharacteristic
690C4—22no—
691C4—22no—
692C4—22no—
693C4—22no—
694C4—282no—
695C4—282no—
696C4—282no—
697C4—282no—
698C4—282no—
699C4—282no—
700C4—282no—
701C4—282no—
702C4#9024612yes—
703C4C22×#115911yescharacteristic
704C4C2×#655411yescharacteristic
705C2—42no—
706C2—42no—
707C2#1173692014yesdirect product factor
708C2C2×#9024611yescharacteristic
709C2C2×#9043911yescharacteristic
710C2C2×#9044411yescharacteristic
subgroupG/H
centerC23C22×D28
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C7×#435C2
socleC23×C7C22×D4
prime radicalC22×C7×D4D4
hypercenterC2×#435D7
hypocenterC7C2×#3349
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#435

Complements

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

NH ≅ G/Ntype
4. C2×#89909C2semidirect
5. C2×#89893C2semidirect
6. C2×#89888C2semidirect
7. C2×#89878C2semidirect
8. #11736920C2direct (N × H)
9. C2×#89601C2semidirect
10. C2×#89622C2semidirect
11. C2×#89494C2semidirect
12. C2×#89495C2semidirect
13. C2×#89495C2semidirect
14. C2×#89495C2semidirect
15. C2×#89488C2semidirect
16. C2×#89474C2semidirect
50. #89909C22semidirect
51. #89893C22semidirect
52. #89888C22semidirect
53. #89878C22semidirect
69. #89622C22semidirect
70. #89601C22semidirect
71. #89495C22semidirect
72. #89495C22semidirect
73. #89495C22semidirect
74. #89494C22semidirect
75. #89488C22semidirect
76. #89474C22semidirect
617. C2×C7#3349semidirect
677. C7C2×#3349semidirect
707. C2#11736920direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#902332
C2×#902322
C2×C7×#4352
C2×#899092
C2×#898932
C2×#898882
C2×#898782
#117369202
C2×#896012
C2×#896222
C2×#894942
C2×#894952
C2×#894882
C2×#894742
C2×#33497