Finite Group Databasebeta

← C2×#11738978 #14232294

Subgroups — C2×#11738978 #14232294

Order 1792.

1854 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×#90332C211yesmaximal, characteristic
2C2×#90224C211yesmaximal, characteristic
3C2×C7×#485C211yesmaximal, characteristic, complemented
4C2×#89823C211yesmaximal, characteristic, complemented
5C2×#89770C211yesmaximal, characteristic, complemented
6#11738978C2116yesmaximal, direct product factor
7C2×#89660C211yesmaximal, characteristic, complemented
8C2×#89646C211yesmaximal, characteristic, complemented
9C2×#89626C211yesmaximal, characteristic, complemented
10C2×#89632C211yesmaximal, characteristic, complemented
11C2×#89585C211yesmaximal, characteristic, complemented
12C2×#89586C211yesmaximal, characteristic, complemented
13C2×#89563C211yesmaximal, characteristic, complemented
14C2×#89562C211yesmaximal, characteristic, complemented
15C2×(C22⋊D7)⋊C8C211yesmaximal, characteristic
16C2×#89495C211yesmaximal, characteristic, complemented
17C2×C7×C22⋊Q8C2211yescharacteristic
18C2×C7×#117C2211yescharacteristic
19C2×#6509C2211yescharacteristic
20C2×Q8×Dic7C2211yescharacteristic
21C22×#1144C2211yescharacteristic
22C2×C4×C22⋊D7C2211yescharacteristic
23C2×#6489C2211yescharacteristic
24C2×#6487C2211yescharacteristic
25C23×C7⋊C8C2211yescharacteristic
26C22×C8×D7C2211yescharacteristic
27#90332—24no—
28#90332C2218yes—
29#90224—24no—
30#90224C2218yes—
31C2×#6461—21no—
32C2×#6460C2211yescharacteristic
33C2×#6455C2211yescharacteristic
34C2×#6455C2211yescharacteristic
35C2×#6451C2211yescharacteristic
36C2×#6451C2211yescharacteristic
37C2×#6450—21no—
38C2×#6450C2211yescharacteristic
39C2×#6448—21no—
40C2×#6448—21no—
41C2×#6442—21no—
42C2×#6442—21no—
43C2×#6439—21no—
44C2×C4×Dic14—21no—
45C7×#485C2218yescomplemented
46C2×C7×#107C2211yescharacteristic
47C2×C7×#106C2211yescharacteristic
48C2×C7×#103C2211yescharacteristic
49C2×C7×#103C2211yescharacteristic
50C2×C7×C22⋊C8C2211yescharacteristic
51C2×#6409C2211yescharacteristic
52C2×(C2×D7)⋊C8C2211yescharacteristic
53C2×#6392C2211yescharacteristic
54C2×#6391C2211yescharacteristic
55C2×#6390C2211yescharacteristic
56C2×#6390C2211yescharacteristic
57C2×Dic7⋊C8C2211yescharacteristic
58C2×C8×Dic7C2211yescharacteristic
59#89823C2218yescomplemented
60#89770C2218yescomplemented
61C2×#6384C2211yescharacteristic
62C2×#6382C2211yescharacteristic
63C2×#6382C2211yescharacteristic
64C2×#6381C2211yescharacteristic
65C2×#6381C2211yescharacteristic
66C2×#6381C2211yescharacteristic
67#89660C2218yescomplemented
68#89646C2218yescomplemented
69#89632C2218yescomplemented
70#89626C2218yescomplemented
71#89586C2218yescomplemented
72#89585C2218yescomplemented
73#89563C2218yescomplemented
74#89562C2218yescomplemented
75(C22⋊D7)⋊C8C2218yes—
76#89495C2218yescomplemented
77C2×#3342—71nomaximal, Sylow
78C22×C7×Q8C2311yescharacteristic
79C23×C4×C7C2311yescharacteristic
80C22×C22⋊D7D411yescharacteristic
81C22×C4×D7C2311yescharacteristic
82C22×Dic14—21no—
83C22×Dic14—21no—
84C22×Dic14C2311yescharacteristic
85C22×C7×C8C2311yescharacteristic
86C22×C7×C8C2311yescharacteristic
87C7×C22⋊Q8—22no—
88C7×C22⋊Q8C2314yes—
89C7×#117—22no—
90C7×#117C2314yes—
91C2×C7×C4⋊C4—21no—
92C2×C7×C4⋊C4C2311yescharacteristic
93C2×C7×C4⋊C4C2311yescharacteristic
94C2×C7×C4⋊C4C2311yescharacteristic
95C2×C7×C22⋊C4—21no—
96C2×C7×C22⋊C4—21no—
97C2×C42×C7—21no—
98C2×C22⋊Dic7—21no—
99C2×C22⋊Dic7—21no—
100C2×C22⋊Dic7D411yescharacteristic
101#6509—22no—
102#6509C2314yes—
103Q8×Dic7—22no—
104Q8×Dic7C2314yes—
105C2×#1144—24no—
106C2×#1144C2314yes—
107C4×C22⋊D7D414yes—
108C4×C22⋊D7C2314yes—
109C2×(C2×D7)⋊C4—21no—
110C2×(C2×D7)⋊C4—21no—
111C2×(C2×D7)⋊C4—21no—
112C2×(C2×D7)⋊C4—21no—
113C2×(C2×D7)⋊C4D411yescharacteristic
114#6489—22no—
115#6489C2314yes—
116C2×C4⋊Dic7—21no—
117C2×C4⋊Dic7—21no—
118C2×C4⋊Dic7C2311yescharacteristic
119C2×C4⋊Dic7C2311yescharacteristic
120C2×C4⋊Dic7C2311yescharacteristic
121#6487—22no—
122#6487C2314yes—
123C2×Dic7⋊C4—21no—
124C2×Dic7⋊C4—21no—
125C2×Dic7⋊C4—21no—
126C2×Dic7⋊C4—21no—
127C2×Dic7⋊C4—21no—
128C2×Dic7⋊C4D411yescharacteristic
129C2×C4×Dic7—21no—
130C2×C4×Dic7—21no—
131C2×C4×Dic7—21no—
132C2×C4×Dic7—21no—
133C2×C4×Dic7—21no—
134C2×C4×Dic7C2311yescharacteristic
135C22×C7⋊C8—24no—
136C22×C7⋊C8C2311yescharacteristic
137C22×C7⋊C8C2314yes—
138C22×C7⋊C8C2311yescharacteristic
139C2×C8×D7—24no—
140C2×C8×D7C2314yes—
141#6461—28no—
142#6460—22no—
143#6460C2314yes—
144#6455—22no—
145#6455—22no—
146#6455C2314yes—
147#6455C2314yes—
148#6451—22no—
149#6451—22no—
150#6451C2314yes—
151#6451C2314yes—
152#6450—28no—
153#6450—22no—
154#6450C2314yes—
155#6448—28no—
156#6448—28no—
157#6442—28no—
158#6442—28no—
159#6439—28no—
160C4×Dic14—28no—
161C7×#107C2314yes—
162C7×#106C2314yes—
163C7×#103C2314yes—
164C7×#103C2314yes—
165C7×C22⋊C8C2314yes—
166#6409C2314yes—
167(C2×D7)⋊C8C2314yes—
168#6392C2314yes—
169#6391C2314yes—
170#6390C2314yes—
171#6390C2314yes—
172Dic7⋊C8C2314yes—
173C8×Dic7C2314yes—
174#6384C2314yes—
175#6382C2314yes—
176#6382C2314yes—
177#6381C2314yes—
178#6381C2314yes—
179#6381C2314yes—
180C2×#556—71no—
181C2×#556—71no—
182#3342—716no—
183C2×#500—71no—
184C2×#485—71no—
185C2×#485—71no—
186C2×#485—71no—
187C2×#485D711yescharacteristic, complemented
188C2×#475—71no—
189C2×#475—71no—
190C2×#467—71no—
191C2×#467—71no—
192C2×C4×Q16—71no—
193C2×C8×D4—71no—
194C2×#427—71no—
195C2×#427—71no—
196C24×C7C2×D411yescharacteristic
197C23×D7C2×D411yescharacteristic
198C2×C7×Q8—21no—
199C2×C7×Q8—22no—
200C2×C7×Q8—22no—
201C2×C7×Q8C2412yes—
202C22×C4×C7—22no—
203C22×C4×C7—22no—
204C22×C4×C7—21no—
205C22×C4×C7—21no—
206C22×C4×C7—21no—
207C22×C4×C7—21no—
208C22×C4×C7C2×D411yescharacteristic
209C22×C4×C7C2×D412yes—
210C22×C4×C7C2412yes—
211C22×C4×C7C2411yescharacteristic
212C2×C22⋊D7—24no—
213C2×C22⋊D7C2×D414yes—
214C22×Dic7—21no—
215C22×Dic7—21no—
216C22×Dic7—21no—
217C22×Dic7—21no—
218C22×Dic7C2×D411yescharacteristic
219C22×Dic7C2×D411yescharacteristic
220C22×Dic7C2×D411yescharacteristic
221C2×C4×D7—22no—
222C2×C4×D7—22no—
223C2×C4×D7C2×D412yes—
224C2×C4×D7C2412yes—
225C2×Dic14—22no—
226C2×Dic14—22no—
227C2×Dic14—21no—
228C2×Dic14—24no—
229C2×Dic14—24no—
230C2×Dic14—44no—
231C2×Dic14—44no—
232C2×Dic14C2412yes—
233C2×C7×C8—22no—
234C2×C7×C8—22no—
235C2×C7×C8C2412yes—
236C2×C7×C8C2412yes—
237C7×C4⋊C4—21no—
238C7×C4⋊C4—24no—
239C7×C4⋊C4—21no—
240C7×C4⋊C4—21no—
241C7×C4⋊C4C2412yes—
242C7×C4⋊C4C2412yes—
243C7×C4⋊C4C2412yes—
244C7×C22⋊C4—24no—
245C7×C22⋊C4—24no—
246C42×C7—24no—
247C22⋊Dic7—24no—
248C22⋊Dic7—24no—
249C22⋊Dic7C2×D414yes—
250#1144—28no—
251(C2×D7)⋊C4—24no—
252(C2×D7)⋊C4—24no—
253(C2×D7)⋊C4—24no—
254(C2×D7)⋊C4—24no—
255(C2×D7)⋊C4C2×D414yes—
256C4⋊Dic7—21no—
257C4⋊Dic7—21no—
258C4⋊Dic7—21no—
259C4⋊Dic7—24no—
260C4⋊Dic7—24no—
261C4⋊Dic7C2412yes—
262C4⋊Dic7C2412yes—
263C4⋊Dic7C2412yes—
264Dic7⋊C4—24no—
265Dic7⋊C4—24no—
266Dic7⋊C4—24no—
267Dic7⋊C4—24no—
268Dic7⋊C4—24no—
269Dic7⋊C4C2×D414yes—
270C4×Dic7—24no—
271C4×Dic7—24no—
272C4×Dic7—24no—
273C4×Dic7—24no—
274C4×Dic7—24no—
275C4×Dic7C2×D412yes—
276C4×Dic7C2412yes—
277C2×C7⋊C8—22no—
278C2×C7⋊C8—28no—
279C2×C7⋊C8#4114yes—
280C2×C7⋊C8C2412yes—
281C2×C7⋊C8C2412yes—
282C8×D7—28no—
283C22×Q16—71no—
284C23×C8—71no—
285C23×C8—71no—
286#556—78no—
287#556—78no—
288#556—144no—
289#556—144no—
290C2×C4⋊Q8—71no—
291C2×C4⋊Q8—71no—
292C2×#126—141no—
293C2×#126—141no—
294C2×#126—141no—
295C2×#126—141no—
296C2×#124—141no—
297C2×#124—141no—
298C2×C22⋊Q8—71no—
299C2×C22⋊Q8—71no—
300C2×C22⋊Q8—71no—
301C2×C22⋊Q8C2×D711yescharacteristic
302C2×C4×Q8—71no—
303C2×C4×Q8—71no—
304C2×C4×Q8—141no—
305C2×C4×Q8—141no—
306C2×C4×D4—71no—
307C2×#117—71no—
308C2×#117—71no—
309C2×#117—71no—
310C2×#117C2×D711yescharacteristic
311#500—78no—
312#485—78no—
313#485—78no—
314#485—78no—
315#485C2×D718yescomplemented
316#475—78no—
317#475—78no—
318#467—78no—
319#467—78no—
320C4×Q16—78no—
321C8×D4—78no—
322#427—78no—
323#427—78no—
324C2×#107—71no—
325C2×#107—71no—
326C2×#107—71no—
327C2×#107—71no—
328C2×#107C2×D711yescharacteristic
329C2×#106—71no—
330C2×#106—71no—
331C2×#106—71no—
332C2×#106C2×D711yescharacteristic
333C2×C4⋊C8—71no—
334C2×#103—71no—
335C2×#103—71no—
336C2×#103—71no—
337C2×#103—71no—
338C2×#103C2×D711yescharacteristic
339C2×#103C2×D711yescharacteristic
340C2×C22⋊C8—71no—
341C2×C22⋊C8C2×D711yescharacteristic
342C2×C4×C8—71no—
343C23×C7—22no—
344C23×C7—22no—
345C23×C7—22no—
346C23×C7C22×D412yes—
347C23×C7C22×D411yescharacteristic
348C22×D7—22no—
349C22×D7—22no—
350C22×D7—22no—
351C22×D7C22×D412yes—
352C7×Q8—22no—
353C7×Q8—22no—
354C7×Q8—42no—
355C2×C4×C7—22no—
356C2×C4×C7—24no—
357C2×C4×C7—22no—
358C2×C4×C7—22no—
359C2×C4×C7—22no—
360C2×C4×C7—22no—
361C2×C4×C7—22no—
362C2×C4×C7—22no—
363C2×C4×C7—42no—
364C2×C4×C7—42no—
365C2×C4×C7—42no—
366C2×C4×C7—42no—
367C2×C4×C7C22×D412yes—
368C2×C4×C7C22×D411yescharacteristic
369C2×C4×C7C2×#4112yes—
370C2×C4×C72−1+412yes—
371C2×C4×C7C2511yescharacteristic
372C22⋊D7—28no—
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×Dic7#13514yes—
384C2×Dic7C22×D412yes—
385C2×Dic7C22×D412yes—
386C2×Dic7C22×D412yes—
387C4×D7—24no—
388C4×D7—22no—
389C4×D7—22no—
390Dic14—22no—
391Dic14—22no—
392Dic14—42no—
393Dic14—48no—
394Dic14—48no—
395C7×C8—22no—
396C7×C8—22no—
397C7⋊C8—22no—
398C7⋊C8C2×#4114yes—
399C22×Q8—71no—
400C22×Q8—141no—
401C22×Q8—141no—
402C22×Q8C22×D711yescharacteristic
403C22×D4—71no—
404C23×C4—71no—
405C23×C4C22×D711yescharacteristic
406C2×Q16—74no—
407C2×Q16—144no—
408C22×C8—71no—
409C22×C8—71no—
410C22×C8—74no—
411C22×C8—74no—
412C22×C8—144no—
413C22×C8—144no—
414C22×C8C22×D711yescharacteristic
415C22×C8C22×D711yescharacteristic
416C4⋊Q8—74no—
417C4⋊Q8—74no—
418C4⋊Q8—142no—
419C4⋊Q8—142no—
420#126—148no—
421#126—148no—
422#126—148no—
423#126—148no—
424#124—148no—
425#124—148no—
426C22⋊Q8—22no—
427C22⋊Q8—74no—
428C22⋊Q8—74no—
429C22⋊Q8—74no—
430C22⋊Q8—142no—
431C22⋊Q8—142no—
432C22⋊Q8—142no—
433C22⋊Q8C22×D714yes—
434C4×Q8—74no—
435C4×Q8—74no—
436C4×Q8—148no—
437C4×Q8—142no—
438C4×Q8—142no—
439C4×Q8—148no—
440C4×D4—74no—
441C4×D4—74no—
442#117—22no—
443#117—74no—
444#117—74no—
445#117—74no—
446#117—142no—
447#117—142no—
448#117—142no—
449#117C22×D714yes—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—71no—
452C2×C4⋊C4—71no—
453C2×C4⋊C4—71no—
454C2×C4⋊C4—71no—
455C2×C4⋊C4—141no—
456C2×C4⋊C4—141no—
457C2×C4⋊C4—141no—
458C2×C4⋊C4—141no—
459C2×C4⋊C4—141no—
460C2×C4⋊C4—141no—
461C2×C4⋊C4—141no—
462C2×C4⋊C4C22×D711yescharacteristic
463C2×C4⋊C4C22×D711yescharacteristic
464C2×C4⋊C4C22×D711yescharacteristic
465C2×C22⋊C4—21no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—71no—
468C2×C22⋊C4—71no—
469C2×C22⋊C4—141no—
470C2×C22⋊C4—141no—
471C2×C22⋊C4—141no—
472C2×C22⋊C4—141no—
473C2×C22⋊C4—141no—
474C2×C22⋊C4—141no—
475C2×C42—21no—
476C2×C42—71no—
477C2×C42—141no—
478C2×C42—141no—
479C2×C42—141no—
480C2×C42—141no—
481C2×C42—141no—
482#107—74no—
483#107—74no—
484#107—74no—
485#107—74no—
486#107C22×D714yes—
487#106—74no—
488#106—74no—
489#106—74no—
490#106C22×D714yes—
491C4⋊C8—74no—
492#103—74no—
493#103—74no—
494#103—74no—
495#103—74no—
496#103C22×D714yes—
497#103C22×D714yes—
498C22⋊C8—74no—
499C22⋊C8C22×D714yes—
500C4×C8—74no—
501C22×C7—22no—
502C22×C7—22no—
503C22×C7—22no—
504C22×C7—44no—
505C22×C7#54712yes—
506C22×C7C2×#13512yes—
507C22×C7#57812yes—
508C22×C7C23×D411yescharacteristic
509C2×D7—22no—
510C2×D7—22no—
511C2×D7—22no—
512C2×D7—44no—
513C4×C7—22no—
514C4×C7—42no—
515C4×C7—42no—
516C4×C7—42no—
517C4×C7—42no—
518C4×C7#54712yes—
519C4×C7C22×#4111yescharacteristic
520C4×C7C2×2−1+411yescharacteristic
521Dic7—22no—
522Dic7—22no—
523Dic7—42no—
524Dic7—42no—
525Dic7—42no—
526Dic7—42no—
527Dic7C2×#13514yes—
528C24—71no—
529C24D4×D711yescharacteristic
530C2×Q8—21no—
531C2×Q8—22no—
532C2×Q8—22no—
533C2×Q8—72no—
534C2×Q8—144no—
535C2×Q8—144no—
536C2×Q8—141no—
537C2×Q8—142no—
538C2×Q8—142no—
539C2×Q8—284no—
540C2×Q8—284no—
541C2×Q8C23×D712yes—
542C2×D4—74no—
543C2×D4—144no—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—71no—
551C22×C4—71no—
552C22×C4—71no—
553C22×C4—72no—
554C22×C4—72no—
555C22×C4—142no—
556C22×C4—142no—
557C22×C4—141no—
558C22×C4—141no—
559C22×C4—141no—
560C22×C4—141no—
561C22×C4D4×D712yes—
562C22×C4D4×D711yescharacteristic
563C22×C4C23×D712yes—
564C22×C4C23×D711yescharacteristic
565Q16—148no—
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—74no—
569C2×C8—72no—
570C2×C8—72no—
571C2×C8—148no—
572C2×C8—148no—
573C2×C8—142no—
574C2×C8C23×D712yes—
575C2×C8C23×D712yes—
576C4⋊C4—24no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—74no—
581C4⋊C4—72no—
582C4⋊C4—72no—
583C4⋊C4—72no—
584C4⋊C4—144no—
585C4⋊C4—144no—
586C4⋊C4—144no—
587C4⋊C4—144no—
588C4⋊C4—144no—
589C4⋊C4—144no—
590C4⋊C4—144no—
591C4⋊C4—141no—
592C4⋊C4—141no—
593C4⋊C4—141no—
594C4⋊C4C23×D712yes—
595C4⋊C4C23×D712yes—
596C4⋊C4C23×D712yes—
597C22⋊C4—24no—
598C22⋊C4—24no—
599C22⋊C4—74no—
600C22⋊C4—74no—
601C22⋊C4—144no—
602C22⋊C4—144no—
603C22⋊C4—144no—
604C22⋊C4—144no—
605C22⋊C4—144no—
606C22⋊C4—144no—
607C42—24no—
608C42—72no—
609C42—72no—
610C42—144no—
611C42—144no—
612C42—144no—
613C42—144no—
614C42—144no—
615C2×C7—42no—
616C2×C7#334214yescomplemented
617C2×C7C2×#54711yescharacteristic
618C2×C7C22×#13511yescharacteristic
619C2×C7C2×#57811yescharacteristic
620D7—42no—
621C23—22no—
622C23—22no—
623C23—22no—
624C23—72no—
625C23—142no—
626C23—142no—
627C23—142no—
628C23C2×D4×D712yes—
629C23C2×D4×D711yescharacteristic
630Q8—22no—
631Q8—22no—
632Q8—42no—
633Q8—142no—
634Q8—142no—
635Q8—288no—
636Q8—288no—
637Q8—282no—
638D4—148no—
639C2×C4—22no—
640C2×C4—24no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—74no—
652C2×C4—72no—
653C2×C4—72no—
654C2×C4—72no—
655C2×C4—142no—
656C2×C4—142no—
657C2×C4—144no—
658C2×C4—142no—
659C2×C4—142no—
660C2×C4—142no—
661C2×C4—142no—
662C2×C4—142no—
663C2×C4—142no—
664C2×C4—282no—
665C2×C4—282no—
666C2×C4—282no—
667C2×C4—282no—
668C2×C4C2×D4×D712yes—
669C2×C4C2×D4×D711yescharacteristic
670C2×C4D7×#4112yes—
671C2×C4#655412yes—
672C2×C4C24×D711yescharacteristic
673C8—22no—
674C8—22no—
675C8—74no—
676C8—142no—
677C7C2×#334211yescharacteristic, complemented, Sylow
678C22—22no—
679C22—22no—
680C22—22no—
681C22—44no—
682C22—142no—
683C22—142no—
684C22—142no—
685C22—284no—
686C22#9034612yes—
687C22D7×#13512yes—
688C22#9047012yes—
689C22C22×D4×D711yescharacteristic
690C4—22no—
691C4—42no—
692C4—42no—
693C4—42no—
694C4—42no—
695C4—74no—
696C4—142no—
697C4—142no—
698C4—282no—
699C4—282no—
700C4—282no—
701C4—282no—
702C4#9034612yes—
703C4C2×D7×#4111yescharacteristic
704C4C2×#655411yescharacteristic
705C2—42no—
706C2—282no—
707C2#1173897814yesdirect product factor
708C2C2×#9034611yescharacteristic
709C2C2×D7×#13511yescharacteristic
710C2C2×#9047011yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C7×#485C2
socleC23×C7C22×D4
prime radicalC22×C22⋊D7D4
hypercenterC2×#485D7
hypocenterC7C2×#3342
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#485

Complements

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

NH ≅ G/Ntype
3. C2×C7×#485C2semidirect
4. C2×#89823C2semidirect
5. C2×#89770C2semidirect
6. #11738978C2direct (N × H)
7. C2×#89660C2semidirect
8. C2×#89646C2semidirect
9. C2×#89626C2semidirect
10. C2×#89632C2semidirect
11. C2×#89585C2semidirect
12. C2×#89586C2semidirect
13. C2×#89563C2semidirect
14. C2×#89562C2semidirect
16. C2×#89495C2semidirect
45. C7×#485C22semidirect
59. #89823C22semidirect
60. #89770C22semidirect
67. #89660C22semidirect
68. #89646C22semidirect
69. #89632C22semidirect
70. #89626C22semidirect
71. #89586C22semidirect
72. #89585C22semidirect
73. #89563C22semidirect
74. #89562C22semidirect
76. #89495C22semidirect
187. C2×#485D7semidirect
315. #485C2×D7semidirect
616. C2×C7#3342semidirect
677. C7C2×#3342semidirect
707. C2#11738978direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#903322
C2×#902242
C2×C7×#4852
C2×#898232
C2×#897702
#117389782
C2×#896602
C2×#896462
C2×#896262
C2×#896322
C2×#895852
C2×#895862
C2×#895632
C2×#895622
C2×(C22⋊D7)⋊C82
C2×#894952
C2×#33427