Finite Group Databasebeta

← C2×#11739139 #14226012

Subgroups — C2×#11739139 #14226012

Order 1792.

1742 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90420C211yesmaximal, characteristic, complemented
2C2×#90373C211yesmaximal, characteristic
3C2×C7×#489C211yesmaximal, characteristic, complemented
4C2×#89850C211yesmaximal, characteristic, complemented
5C2×#89828C211yesmaximal, characteristic, complemented
6#11739139C2116yesmaximal, direct product factor
7C2×#89581C211yesmaximal, characteristic, complemented
8C2×#89587C211yesmaximal, characteristic, complemented
9C2×#89571C211yesmaximal, characteristic, complemented
10C2×#89566C211yesmaximal, characteristic, complemented
11C2×#89546C211yesmaximal, characteristic
12C2×#89551C211yesmaximal, characteristic
13C2×#89535C211yesmaximal, characteristic, complemented
14C2×#89531C211yesmaximal, characteristic, complemented
15C2×#89481C211yesmaximal, characteristic, complemented
16C2×#89474C211yesmaximal, characteristic, complemented
17C2×C7×C4⋊Q8C2211yescharacteristic
18C2×C7×#124C2211yescharacteristic
19C2×#6509—21no—
20C2×#6509C2211yescharacteristic
21C2×Q8×Dic7C2211yescharacteristic
22C2×#6507—21no—
23C2×#6501C2211yescharacteristic
24C2×D4×Dic7C2211yescharacteristic
25#90420—24no—
26#90420C2218yescomplemented
27#90373—24no—
28#90373C2218yes—
29C2×#6459—21no—
30C2×#6455C2211yescharacteristic
31C2×D7×C4⋊C4C2211yescharacteristic
32C2×#6453C2211yescharacteristic
33C2×#6452—21no—
34C2×#6451C2211yescharacteristic
35C2×#6449—21no—
36C2×#6448—21no—
37C2×#6442—21no—
38C2×#6441—21no—
39C2×#6435C2211yescharacteristic
40C2×#6433C2211yescharacteristic
41C2×#6432C2211yescharacteristic
42C7×#489C2218yescomplemented
43C2×C7×#103C2211yescharacteristic
44C2×C7×#103C2211yescharacteristic
45C2×C7×#102C2211yescharacteristic
46C2×C7×#102C2211yescharacteristic
47C2×C7×#97C2211yescharacteristic
48C2×#6409C2211yescharacteristic
49C2×#6409C2211yescharacteristic
50C2×#6406C2211yescharacteristic
51C2×#6406C2211yescharacteristic
52C2×(C2×D7)⋊C8C2211yescharacteristic
53C2×(C2×D7)⋊C8C2211yescharacteristic
54C2×#6392C2211yescharacteristic
55C2×#6392C2211yescharacteristic
56C2×#6391C2211yescharacteristic
57C2×#6391C2211yescharacteristic
58C2×Dic7⋊C8C2211yescharacteristic
59C2×Dic7⋊C8C2211yescharacteristic
60#89850C2218yescomplemented
61#89828C2218yescomplemented
62C2×#6381C2211yescharacteristic
63C2×#6381C2211yescharacteristic
64C2×#6381C2211yescharacteristic
65C2×#6381C2211yescharacteristic
66C2×C4×C7⋊C8C2211yescharacteristic
67#89587C2218yescomplemented
68#89581C2218yescomplemented
69#89571C2218yescomplemented
70#89566C2218yescomplemented
71#89551C2218yes—
72#89546C2218yes—
73#89535C2218yescomplemented
74#89531C2218yescomplemented
75#89481C2218yescomplemented
76#89474C2218yescomplemented
77C2×#3243—71nomaximal, Sylow
78C22×C7×Q8—21no—
79C22×C7×Q8C2311yescharacteristic
80C22×C7×D4C2311yescharacteristic
81C22×C22⋊D7—21no—
82C23×Dic7—21no—
83C22×C4×D7—21no—
84C22×C4×D7C2311yescharacteristic
85C22×Dic14—21no—
86C22×Dic14—21no—
87C22×C7×C8C2311yescharacteristic
88C22×C7×C8C2311yescharacteristic
89C7×C4⋊Q8—22no—
90C7×C4⋊Q8C2314yes—
91C7×#124—22no—
92C7×#124C2314yes—
93C2×C7×C4⋊C4—21no—
94C2×C7×C4⋊C4C2311yescharacteristic
95C2×C7×C4⋊C4C2311yescharacteristic
96C2×C7×C22⋊C4—21no—
97C2×C7×C22⋊C4—21no—
98C2×C42×C7C2311yescharacteristic
99C2×C22⋊Dic7—21no—
100C2×C22⋊Dic7—21no—
101#6509—22no—
102#6509—28no—
103#6509C2314yes—
104Q8×Dic7—22no—
105Q8×Dic7C2314yes—
106#6507—28no—
107#6501—22no—
108#6501C2314yes—
109D4×Dic7—22no—
110D4×Dic7C2314yes—
111C2×(C2×D7)⋊C4—21no—
112C2×(C2×D7)⋊C4—21no—
113C2×(C2×D7)⋊C4D411yescharacteristic
114C2×(C2×D7)⋊C4D411yescharacteristic
115C2×C4⋊Dic7—21no—
116C2×C4⋊Dic7—21no—
117C2×C4⋊Dic7—21no—
118C2×C4⋊Dic7C2311yescharacteristic
119C2×C4⋊Dic7C2311yescharacteristic
120C2×C4⋊Dic7C2311yescharacteristic
121C2×C4⋊Dic7C2311yescharacteristic
122C2×Dic7⋊C4—21no—
123C2×Dic7⋊C4—21no—
124C2×Dic7⋊C4—21no—
125C2×Dic7⋊C4—21no—
126C2×Dic7⋊C4—21no—
127C2×Dic7⋊C4—21no—
128C2×Dic7⋊C4D411yescharacteristic
129C2×Dic7⋊C4D411yescharacteristic
130C2×C4×Dic7—21no—
131C2×C4×Dic7—21no—
132C2×C4×Dic7C2311yescharacteristic
133C22×C7⋊C8C2311yescharacteristic
134C22×C7⋊C8C2311yescharacteristic
135#6459—28no—
136#6455—22no—
137#6455C2314yes—
138D7×C4⋊C4—22no—
139D7×C4⋊C4C2314yes—
140#6453—22no—
141#6453C2314yes—
142#6452—28no—
143#6451—22no—
144#6451C2314yes—
145#6449—28no—
146#6448—28no—
147#6442—28no—
148#6441—28no—
149#6435D414yes—
150#6435C2314yes—
151#6433—22no—
152#6433C2314yes—
153#6432—22no—
154#6432C2314yes—
155C7×#103C2314yes—
156C7×#103C2314yes—
157C7×#102C2314yes—
158C7×#102C2314yes—
159C7×#97C2314yes—
160#6409C2314yes—
161#6409C2314yes—
162#6406C2314yes—
163#6406C2314yes—
164(C2×D7)⋊C8C2314yes—
165(C2×D7)⋊C8C2314yes—
166#6392C2314yes—
167#6392C2314yes—
168#6391C2314yes—
169#6391C2314yes—
170Dic7⋊C8C2314yes—
171Dic7⋊C8C2314yes—
172#6381C2314yes—
173#6381C2314yes—
174#6381C2314yes—
175#6381C2314yes—
176C4×C7⋊C8C2314yes—
177C2×#544—71no—
178C2×#542—71no—
179#3243—716no—
180C2×#501—71no—
181C2×#500—71no—
182C2×#489D711yescharacteristic, complemented
183C2×#488—71no—
184C2×#484—71no—
185C2×#485—71no—
186C2×#482—71no—
187C2×#480—71no—
188C2×#479—71no—
189C2×#477—71no—
190C2×#478—71no—
191C2×#474—71no—
192C2×#433—71no—
193C24×C7—21no—
194C23×D7C2×D411yescharacteristic
195C2×C7×Q8—21no—
196C2×C7×Q8—24no—
197C2×C7×Q8—22no—
198C2×C7×Q8—22no—
199C2×C7×Q8—82no—
200C2×C7×Q8C2412yes—
201C2×C7×D4—21no—
202C2×C7×D4—22no—
203C2×C7×D4—22no—
204C2×C7×D4C2412yes—
205C22×C4×C7—21no—
206C22×C4×C7—21no—
207C22×C4×C7—21no—
208C22×C4×C7C2×D411yescharacteristic
209C22×C4×C7C2×D411yescharacteristic
210C22×C4×C7C2411yescharacteristic
211C2×C22⋊D7—24no—
212C2×C22⋊D7—82no—
213C22×Dic7—21no—
214C22×Dic7—21no—
215C22×Dic7—21no—
216C22×Dic7—21no—
217C22×Dic7—24no—
218C22×Dic7—82no—
219C22×Dic7C2×D411yescharacteristic
220C22×Dic7C2×D411yescharacteristic
221C22×Dic7C2×D411yescharacteristic
222C2×C4×D7—22no—
223C2×C4×D7—22no—
224C2×C4×D7—24no—
225C2×C4×D7—82no—
226C2×C4×D7C2×D412yes—
227C2×C4×D7C2412yes—
228C2×Dic14—24no—
229C2×Dic14—24no—
230C2×Dic14—82no—
231C2×Dic14—82no—
232C2×C7×C8—22no—
233C2×C7×C8—22no—
234C2×C7×C8C2412yes—
235C2×C7×C8C2412yes—
236C7×C4⋊C4—21no—
237C7×C4⋊C4—24no—
238C7×C4⋊C4—21no—
239C7×C4⋊C4C2412yes—
240C7×C4⋊C4C2412yes—
241C7×C22⋊C4—24no—
242C7×C22⋊C4—24no—
243C42×C7C2×D412yes—
244C42×C7C2412yes—
245C22⋊Dic7—24no—
246C22⋊Dic7—24no—
247(C2×D7)⋊C4—24no—
248(C2×D7)⋊C4—24no—
249(C2×D7)⋊C4C2×D414yes—
250(C2×D7)⋊C4C2×D414yes—
251C4⋊Dic7—21no—
252C4⋊Dic7—21no—
253C4⋊Dic7—24no—
254C4⋊Dic7—21no—
255C4⋊Dic7—21no—
256C4⋊Dic7—24no—
257C4⋊Dic7—24no—
258C4⋊Dic7C2412yes—
259C4⋊Dic7C2412yes—
260C4⋊Dic7C2412yes—
261C4⋊Dic7C2412yes—
262Dic7⋊C4—24no—
263Dic7⋊C4—24no—
264Dic7⋊C4—24no—
265Dic7⋊C4—24no—
266Dic7⋊C4—24no—
267Dic7⋊C4—24no—
268Dic7⋊C4C2×D414yes—
269Dic7⋊C4C2×D414yes—
270C4×Dic7—24no—
271C4×Dic7—24no—
272C4×Dic7C2×D412yes—
273C4×Dic7C2412yes—
274C2×C7⋊C8—22no—
275C2×C7⋊C8—22no—
276C2×C7⋊C8C2412yes—
277C2×C7⋊C8C2412yes—
278#544—78no—
279#544—144no—
280#542—78no—
281#542—144no—
282C2×C4⋊Q8—71no—
283C2×C4⋊Q8—71no—
284C2×C4⋊Q8—141no—
285C2×C4⋊Q8C2×D711yescharacteristic
286C2×#126—141no—
287C2×#125—71no—
288C2×#125—71no—
289C2×#125—141no—
290C2×#124—141no—
291C2×#124C2×D711yescharacteristic
292C2×#123—141no—
293C2×C22⋊Q8—71no—
294C2×C22⋊Q8—141no—
295C2×C22⋊Q8—141no—
296C2×C22⋊Q8—141no—
297C2×#121—71no—
298C2×C4×Q8—71no—
299C2×C4×D4—71no—
300C2×#117—71no—
301C2×#117—71no—
302C22×C4⋊C4—71no—
303#501—78no—
304#500—78no—
305#489C2×D718yescomplemented
306#488—78no—
307#485—78no—
308#484—78no—
309#482—78no—
310#480—78no—
311#479—78no—
312#478—78no—
313#477—78no—
314#474—78no—
315#433—78no—
316C2×#107—71no—
317C2×#107—71no—
318C2×#107—71no—
319C2×#107—71no—
320C2×#107—71no—
321C2×#107—71no—
322C2×#106—71no—
323C2×#106—71no—
324C2×C4⋊C8—71no—
325C2×C4⋊C8—71no—
326C2×#103—71no—
327C2×#103—71no—
328C2×#103C2×D711yescharacteristic
329C2×#103C2×D711yescharacteristic
330C2×#102—71no—
331C2×#102—71no—
332C2×#102C2×D711yescharacteristic
333C2×#102C2×D711yescharacteristic
334C2×C22⋊C8—71no—
335C2×C22⋊C8—71no—
336C2×#97C2×D711yescharacteristic
337C2×C4×C8—71no—
338C23×C7—22no—
339C23×C7—42no—
340C23×C7—42no—
341C23×C7—42no—
342C23×C7C22×D411yescharacteristic
343C22×D7—22no—
344C22×D7—22no—
345C22×D7—22no—
346C22×D7C22×D412yes—
347C7×Q8—22no—
348C7×Q8—22no—
349C7×Q8—42no—
350C7×Q8—84no—
351C7×D4—22no—
352C7×D4—22no—
353C7×D4—42no—
354C2×C4×C7—22no—
355C2×C4×C7—22no—
356C2×C4×C7—22no—
357C2×C4×C7—22no—
358C2×C4×C7—22no—
359C2×C4×C7—42no—
360C2×C4×C7—42no—
361C2×C4×C7—42no—
362C2×C4×C7C22×D412yes—
363C2×C4×C7C22×D412yes—
364C2×C4×C7C22×D411yescharacteristic
365C2×C4×C72−1+412yes—
366C2×C4×C72−1+412yes—
367C2×C4×C7C2511yescharacteristic
368C22⋊D7—84no—
369C2×Dic7—22no—
370C2×Dic7—22no—
371C2×Dic7—22no—
372C2×Dic7—22no—
373C2×Dic7—22no—
374C2×Dic7—22no—
375C2×Dic7—22no—
376C2×Dic7—42no—
377C2×Dic7—42no—
378C2×Dic7—42no—
379C2×Dic7—42no—
380C2×Dic7—84no—
381C2×Dic7C22×D412yes—
382C2×Dic7C22×D412yes—
383C2×Dic7C22×D412yes—
384C4×D7—24no—
385C4×D7—22no—
386C4×D7—22no—
387C4×D7—84no—
388Dic14—84no—
389Dic14—84no—
390C7×C8—22no—
391C7×C8—22no—
392C7⋊C8—22no—
393C7⋊C8—22no—
394C22×Q8—21no—
395C22×Q8—141no—
396C22×Q8—141no—
397C22×Q8C22×D711yescharacteristic
398C22×D4—141no—
399C22×D4C22×D711yescharacteristic
400C23×C4—71no—
401C23×C4—141no—
402C23×C4—141no—
403C22×C8—71no—
404C22×C8—71no—
405C22×C8C22×D711yescharacteristic
406C22×C8C22×D711yescharacteristic
407C4⋊Q8—22no—
408C4⋊Q8—74no—
409C4⋊Q8—74no—
410C4⋊Q8—142no—
411C4⋊Q8—148no—
412C4⋊Q8—142no—
413C4⋊Q8C22×D714yes—
414#126—148no—
415#125—74no—
416#125—74no—
417#125—142no—
418#125—148no—
419#125—142no—
420#124—22no—
421#124—148no—
422#124C22×D714yes—
423#123—148no—
424C22⋊Q8—74no—
425C22⋊Q8—148no—
426C22⋊Q8—148no—
427C22⋊Q8—148no—
428C22⋊Q8—142no—
429#121—74no—
430#121—142no—
431C4×Q8—74no—
432C4×Q8—142no—
433C4×D4—74no—
434C4×D4—142no—
435#117—74no—
436#117—74no—
437#117—74no—
438#117—142no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—71no—
441C2×C4⋊C4—71no—
442C2×C4⋊C4—71no—
443C2×C4⋊C4—71no—
444C2×C4⋊C4—71no—
445C2×C4⋊C4—71no—
446C2×C4⋊C4—74no—
447C2×C4⋊C4—142no—
448C2×C4⋊C4—141no—
449C2×C4⋊C4—141no—
450C2×C4⋊C4—141no—
451C2×C4⋊C4—141no—
452C2×C4⋊C4—141no—
453C2×C4⋊C4—141no—
454C2×C4⋊C4—141no—
455C2×C4⋊C4—141no—
456C2×C4⋊C4—141no—
457C2×C4⋊C4C22×D711yescharacteristic
458C2×C4⋊C4C22×D711yescharacteristic
459C2×C22⋊C4—21no—
460C2×C22⋊C4—21no—
461C2×C22⋊C4—71no—
462C2×C22⋊C4—71no—
463C2×C22⋊C4—141no—
464C2×C22⋊C4—141no—
465C2×C22⋊C4—141no—
466C2×C22⋊C4—141no—
467C2×C42—71no—
468C2×C42—141no—
469C2×C42—141no—
470C2×C42C22×D711yescharacteristic
471#107—74no—
472#107—74no—
473#107—74no—
474#107—74no—
475#107—74no—
476#107—74no—
477#106—74no—
478#106—74no—
479C4⋊C8—74no—
480C4⋊C8—74no—
481#103—74no—
482#103—74no—
483#103C22×D714yes—
484#103C22×D714yes—
485#102—74no—
486#102—74no—
487#102C22×D714yes—
488#102C22×D714yes—
489C22⋊C8—74no—
490C22⋊C8—74no—
491#97C22×D714yes—
492C4×C8—74no—
493C22×C7—42no—
494C22×C7—42no—
495C22×C7—42no—
496C22×C7—84no—
497C22×C7#53612yes—
498C22×C7#57612yes—
499C22×C7#57812yes—
500C22×C7C23×D411yescharacteristic
501C2×D7—22no—
502C2×D7—22no—
503C2×D7—22no—
504C2×D7—44no—
505C4×C7—22no—
506C4×C7—22no—
507C4×C7—42no—
508C4×C7—42no—
509C4×C7—42no—
510C4×C7#53612yes—
511C4×C7C2×2−1+411yescharacteristic
512C4×C7C2×2−1+411yescharacteristic
513Dic7—22no—
514Dic7—22no—
515Dic7—22no—
516Dic7—42no—
517Dic7—42no—
518Dic7—42no—
519Dic7—42no—
520C24—21no—
521C24—71no—
522C2×Q8—21no—
523C2×Q8—24no—
524C2×Q8—22no—
525C2×Q8—22no—
526C2×Q8—82no—
527C2×Q8—144no—
528C2×Q8—144no—
529C2×Q8—562no—
530C2×Q8—562no—
531C2×Q8C23×D712yes—
532C2×D4—21no—
533C2×D4—22no—
534C2×D4—22no—
535C2×D4—144no—
536C2×D4—562no—
537C2×D4C23×D712yes—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—71no—
542C22×C4—71no—
543C22×C4—71no—
544C22×C4—72no—
545C22×C4—72no—
546C22×C4—144no—
547C22×C4—144no—
548C22×C4—142no—
549C22×C4—142no—
550C22×C4—141no—
551C22×C4—141no—
552C22×C4—141no—
553C22×C4—141no—
554C22×C4—562no—
555C22×C4—562no—
556C22×C4D4×D711yescharacteristic
557C22×C4D4×D711yescharacteristic
558C22×C4C23×D711yescharacteristic
559C2×C8—22no—
560C2×C8—22no—
561C2×C8—72no—
562C2×C8—72no—
563C2×C8—142no—
564C2×C8—142no—
565C2×C8C23×D712yes—
566C2×C8C23×D712yes—
567C4⋊C4—24no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—74no—
571C4⋊C4—74no—
572C4⋊C4—72no—
573C4⋊C4—72no—
574C4⋊C4—72no—
575C4⋊C4—72no—
576C4⋊C4—144no—
577C4⋊C4—144no—
578C4⋊C4—144no—
579C4⋊C4—144no—
580C4⋊C4—144no—
581C4⋊C4—144no—
582C4⋊C4—144no—
583C4⋊C4—144no—
584C4⋊C4—141no—
585C4⋊C4—141no—
586C4⋊C4—141no—
587C4⋊C4—141no—
588C4⋊C4—144no—
589C4⋊C4C23×D712yes—
590C4⋊C4C23×D712yes—
591C22⋊C4—24no—
592C22⋊C4—24no—
593C22⋊C4—74no—
594C22⋊C4—74no—
595C22⋊C4—144no—
596C22⋊C4—144no—
597C22⋊C4—144no—
598C22⋊C4—144no—
599C42—72no—
600C42—72no—
601C42—144no—
602C42—144no—
603C42D4×D712yes—
604C42C23×D712yes—
605C2×C7—82no—
606C2×C7#324314yescomplemented
607C2×C7C2×#53611yescharacteristic
608C2×C7C2×#57611yescharacteristic
609C2×C7C2×#57811yescharacteristic
610D7—42no—
611C23—22no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—72no—
616C23—142no—
617C23—142no—
618C23—142no—
619C23C2×D4×D711yescharacteristic
620Q8—22no—
621Q8—22no—
622Q8—42no—
623Q8—84no—
624Q8—564no—
625Q8—564no—
626D4—22no—
627D4—22no—
628D4—42no—
629D4—564no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—72no—
639C2×C4—72no—
640C2×C4—72no—
641C2×C4—142no—
642C2×C4—142no—
643C2×C4—142no—
644C2×C4—142no—
645C2×C4—142no—
646C2×C4—144no—
647C2×C4—142no—
648C2×C4—142no—
649C2×C4—142no—
650C2×C4—142no—
651C2×C4—282no—
652C2×C4—282no—
653C2×C4—282no—
654C2×C4—282no—
655C2×C4—564no—
656C2×C4—564no—
657C2×C4C2×D4×D712yes—
658C2×C4C2×D4×D712yes—
659C2×C4C2×D4×D711yescharacteristic
660C2×C4#655412yes—
661C2×C4#655412yes—
662C2×C4C24×D711yescharacteristic
663C8—22no—
664C8—22no—
665C8—142no—
666C8—142no—
667C7C2×#324311yescharacteristic, complemented, Sylow
668C22—42no—
669C22—42no—
670C22—42no—
671C22—84no—
672C22—142no—
673C22—142no—
674C22—142no—
675C22—284no—
676C22#9036612yes—
677C22#9046512yes—
678C22#9047012yes—
679C22C22×D4×D711yescharacteristic
680C4—22no—
681C4—22no—
682C4—42no—
683C4—42no—
684C4—42no—
685C4—142no—
686C4—142no—
687C4—142no—
688C4—282no—
689C4—282no—
690C4—282no—
691C4—282no—
692C4#9036612yes—
693C4C2×#655411yescharacteristic
694C4C2×#655411yescharacteristic
695C2—82no—
696C2—282no—
697C2#1173913914yesdirect product factor
698C2C2×#9036611yescharacteristic
699C2C2×#9046511yescharacteristic
700C2C2×#9047011yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C7×#489C2
socleC23×C7C22×D4
prime radicalC2×#6501C22
hypercenterC2×#489D7
hypocenterC7C2×#3243
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#489

Complements

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

NH ≅ G/Ntype
1. C2×#90420C2semidirect
3. C2×C7×#489C2semidirect
4. C2×#89850C2semidirect
5. C2×#89828C2semidirect
6. #11739139C2direct (N × H)
7. C2×#89581C2semidirect
8. C2×#89587C2semidirect
9. C2×#89571C2semidirect
10. C2×#89566C2semidirect
13. C2×#89535C2semidirect
14. C2×#89531C2semidirect
15. C2×#89481C2semidirect
16. C2×#89474C2semidirect
26. #90420C22semidirect
42. C7×#489C22semidirect
60. #89850C22semidirect
61. #89828C22semidirect
67. #89587C22semidirect
68. #89581C22semidirect
69. #89571C22semidirect
70. #89566C22semidirect
73. #89535C22semidirect
74. #89531C22semidirect
75. #89481C22semidirect
76. #89474C22semidirect
182. C2×#489D7semidirect
305. #489C2×D7semidirect
606. C2×C7#3243semidirect
667. C7C2×#3243semidirect
697. C2#11739139direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#904202
C2×#903732
C2×C7×#4892
C2×#898502
C2×#898282
#117391392
C2×#895812
C2×#895872
C2×#895712
C2×#895662
C2×#895462
C2×#895512
C2×#895352
C2×#895312
C2×#894812
C2×#894742
C2×#32437