Finite Group Databasebeta

← C2×#11739168 #14225980

Subgroups — C2×#11739168 #14225980

Order 1792.

1806 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90410C211yesmaximal, characteristic
2C2×#90380C211yesmaximal, characteristic, complemented
3C2×C7×#490C211yesmaximal, characteristic, complemented
4C2×#89842C211yesmaximal, characteristic, complemented
5C2×#89836C211yesmaximal, characteristic, complemented
6#11739168C2116yesmaximal, direct product factor
7C2×#89549C211yesmaximal, characteristic, complemented
8C2×#89556C211yesmaximal, characteristic, complemented
9C2×#89546C211yesmaximal, characteristic, complemented
10C2×#89551C211yesmaximal, characteristic, complemented
11C2×#89535C211yesmaximal, characteristic, complemented
12C2×#89538C211yesmaximal, characteristic, complemented
13C2×#89533C211yesmaximal, characteristic, complemented
14C2×#89531C211yesmaximal, characteristic, complemented
15C2×#89481C211yesmaximal, characteristic, complemented
16C2×#89474C211yesmaximal, characteristic, complemented
17C2×C7×#127C2211yescharacteristic
18C2×C7×#125C2211yescharacteristic
19C2×#6502—21no—
20C2×#6502—21no—
21C2×#6501C2211yescharacteristic
22C2×#6501C2211yescharacteristic
23C2×#6498—21no—
24C2×#6498—21no—
25C2×D4×Dic7C2211yescharacteristic
26C2×D4×Dic7C2211yescharacteristic
27#90410—24no—
28#90410C2218yes—
29#90380—24no—
30#90380C2218yescomplemented
31C2×#6460—21no—
32C2×#6459—21no—
33C2×#6455C2211yescharacteristic
34C2×D7×C4⋊C4C2211yescharacteristic
35C2×#6453C2211yescharacteristic
36C2×#6452—21no—
37C2×#6451—21no—
38C2×#6451C2211yescharacteristic
39C2×#6435C2211yescharacteristic
40C2×#6433C2211yescharacteristic
41C2×#6432C2211yescharacteristic
42C7×#490C2218yescomplemented
43C2×C7×#102C2211yescharacteristic
44C2×C7×#102C2211yescharacteristic
45C2×C7×#102C2211yescharacteristic
46C2×C7×#102C2211yescharacteristic
47C2×C7×#97C2211yescharacteristic
48C2×#6406C2211yescharacteristic
49C2×#6406C2211yescharacteristic
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#89842C2218yescomplemented
61#89836C2218yescomplemented
62C2×#6382C2211yescharacteristic
63C2×#6382C2211yescharacteristic
64C2×#6381C2211yescharacteristic
65C2×#6381C2211yescharacteristic
66C2×C4×C7⋊C8C2211yescharacteristic
67#89556C2218yescomplemented
68#89551C2218yescomplemented
69#89549C2218yescomplemented
70#89546C2218yescomplemented
71#89538C2218yescomplemented
72#89535C2218yescomplemented
73#89533C2218yescomplemented
74#89531C2218yescomplemented
75#89481C2218yescomplemented
76#89474C2218yescomplemented
77C2×#3241—71nomaximal, Sylow
78C22×C7×D4—21no—
79C22×C7×D4—21no—
80C22×C7×D4C2311yescharacteristic
81C22×C7×D4C2311yescharacteristic
82C22×C22⋊D7—21no—
83C22×C22⋊D7—21no—
84C23×Dic7—21no—
85C23×Dic7—21no—
86C22×C4×D7—21no—
87C22×C4×D7C2311yescharacteristic
88C22×Dic14—21no—
89C22×Dic14—21no—
90C22×C7×C8C2311yescharacteristic
91C22×C7×C8C2311yescharacteristic
92C7×#127—22no—
93C7×#127C2314yes—
94C7×#125—22no—
95C7×#125C2314yes—
96C2×C7×C4⋊C4—21no—
97C2×C7×C4⋊C4—21no—
98C2×C7×C4⋊C4C2311yescharacteristic
99C2×C7×C4⋊C4C2311yescharacteristic
100C2×C42×C7C2311yescharacteristic
101C2×C22⋊Dic7—21no—
102C2×C22⋊Dic7—21no—
103C2×C22⋊Dic7—21no—
104C2×C22⋊Dic7—21no—
105#6502—28no—
106#6502—28no—
107#6501—22no—
108#6501—22no—
109#6501C2314yes—
110#6501C2314yes—
111#6498—28no—
112#6498—28no—
113D4×Dic7—22no—
114D4×Dic7—22no—
115D4×Dic7C2314yes—
116D4×Dic7C2314yes—
117C2×(C2×D7)⋊C4—21no—
118C2×(C2×D7)⋊C4D411yescharacteristic
119C2×(C2×D7)⋊C4D411yescharacteristic
120C2×C4⋊Dic7—21no—
121C2×C4⋊Dic7—21no—
122C2×C4⋊Dic7C2311yescharacteristic
123C2×C4⋊Dic7C2311yescharacteristic
124C2×C4⋊Dic7C2311yescharacteristic
125C2×C4⋊Dic7C2311yescharacteristic
126C2×Dic7⋊C4—21no—
127C2×Dic7⋊C4—21no—
128C2×Dic7⋊C4—21no—
129C2×Dic7⋊C4—21no—
130C2×Dic7⋊C4—21no—
131C2×Dic7⋊C4D411yescharacteristic
132C2×Dic7⋊C4D411yescharacteristic
133C2×C4×Dic7—21no—
134C2×C4×Dic7C2311yescharacteristic
135C22×C7⋊C8C2311yescharacteristic
136C22×C7⋊C8C2311yescharacteristic
137#6460—28no—
138#6459—28no—
139#6455—22no—
140#6455C2314yes—
141D7×C4⋊C4—22no—
142D7×C4⋊C4C2314yes—
143#6453—22no—
144#6453C2314yes—
145#6452—28no—
146#6451—28no—
147#6451—22no—
148#6451C2314yes—
149#6435D414yes—
150#6435C2314yes—
151#6433—22no—
152#6433C2314yes—
153#6432—22no—
154#6432C2314yes—
155C7×#102C2314yes—
156C7×#102C2314yes—
157C7×#102C2314yes—
158C7×#102C2314yes—
159C7×#97C2314yes—
160#6406C2314yes—
161#6406C2314yes—
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#6382C2314yes—
173#6382C2314yes—
174#6381C2314yes—
175#6381C2314yes—
176C4×C7⋊C8C2314yes—
177C2×#544—71no—
178C2×#540—71no—
179#3241—716no—
180C2×#501—71no—
181C2×#499—71no—
182C2×#490D711yescharacteristic, complemented
183C2×#486—71no—
184C2×#481—71no—
185C2×#482—71no—
186C2×#482—71no—
187C2×#480—71no—
188C2×#478—71no—
189C2×#478—71no—
190C2×#476—71no—
191C2×#474—71no—
192C2×#433—71no—
193C24×C7—21no—
194C24×C7—21no—
195C23×D7C2×D411yescharacteristic
196C2×C7×D4—21no—
197C2×C7×D4—21no—
198C2×C7×D4—24no—
199C2×C7×D4—24no—
200C2×C7×D4—22no—
201C2×C7×D4—22no—
202C2×C7×D4—22no—
203C2×C7×D4—22no—
204C2×C7×D4—82no—
205C2×C7×D4—82no—
206C2×C7×D4C2412yes—
207C2×C7×D4C2412yes—
208C22×C4×C7—21no—
209C22×C4×C7—21no—
210C22×C4×C7C2×D411yescharacteristic
211C22×C4×C7C2×D411yescharacteristic
212C22×C4×C7C2411yescharacteristic
213C2×C22⋊D7—24no—
214C2×C22⋊D7—24no—
215C2×C22⋊D7—82no—
216C2×C22⋊D7—82no—
217C22×Dic7—21no—
218C22×Dic7—21no—
219C22×Dic7—21no—
220C22×Dic7—21no—
221C22×Dic7—24no—
222C22×Dic7—24no—
223C22×Dic7—82no—
224C22×Dic7—82no—
225C22×Dic7C2×D411yescharacteristic
226C22×Dic7C2×D411yescharacteristic
227C22×Dic7C2×D411yescharacteristic
228C2×C4×D7—22no—
229C2×C4×D7—22no—
230C2×C4×D7—24no—
231C2×C4×D7—82no—
232C2×C4×D7C2×D412yes—
233C2×C4×D7C2412yes—
234C2×Dic14—24no—
235C2×Dic14—24no—
236C2×Dic14—82no—
237C2×Dic14—82no—
238C2×C7×C8—22no—
239C2×C7×C8—22no—
240C2×C7×C8C2412yes—
241C2×C7×C8C2412yes—
242C7×C4⋊C4—21no—
243C7×C4⋊C4—24no—
244C7×C4⋊C4—24no—
245C7×C4⋊C4—21no—
246C7×C4⋊C4C2412yes—
247C7×C4⋊C4C2412yes—
248C42×C7C2×D412yes—
249C42×C7C2412yes—
250C22⋊Dic7—24no—
251C22⋊Dic7—24no—
252C22⋊Dic7—24no—
253C22⋊Dic7—24no—
254(C2×D7)⋊C4—24no—
255(C2×D7)⋊C4C2×D414yes—
256(C2×D7)⋊C4C2×D414yes—
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—
267Dic7⋊C4—24no—
268Dic7⋊C4—24no—
269Dic7⋊C4—24no—
270Dic7⋊C4—24no—
271Dic7⋊C4—24no—
272Dic7⋊C4C2×D414yes—
273Dic7⋊C4C2×D414yes—
274C4×Dic7—24no—
275C4×Dic7C2×D412yes—
276C4×Dic7C2412yes—
277C2×C7⋊C8—22no—
278C2×C7⋊C8—22no—
279C2×C7⋊C8C2412yes—
280C2×C7⋊C8C2412yes—
281#544—78no—
282#544—144no—
283#540—78no—
284#540—144no—
285C2×C4⋊Q8—71no—
286C2×C4⋊Q8—71no—
287C2×C4⋊Q8—141no—
288C2×#127C2×D711yescharacteristic
289C2×#125—71no—
290C2×#125—71no—
291C2×#125—141no—
292C2×#125C2×D711yescharacteristic
293C2×#123—141no—
294C2×#123—141no—
295C2×C22⋊Q8—141no—
296C2×C22⋊Q8—141no—
297C2×#121—71no—
298C2×#121—71no—
299C2×#121—141no—
300C2×#121—141no—
301C2×C4×D4—71no—
302C2×C4×D4—71no—
303C2×#117—71no—
304C2×#117—71no—
305C22×C4⋊C4—71no—
306#501—78no—
307#499—78no—
308#490C2×D718yescomplemented
309#486—78no—
310#482—78no—
311#482—78no—
312#481—78no—
313#480—78no—
314#478—78no—
315#478—78no—
316#476—78no—
317#474—78no—
318#433—78no—
319C2×#107—71no—
320C2×#107—71no—
321C2×#107—71no—
322C2×#107—71no—
323C2×#106—71no—
324C2×#106—71no—
325C2×#106—71no—
326C2×#106—71no—
327C2×C4⋊C8—71no—
328C2×C4⋊C8—71no—
329C2×#102—71no—
330C2×#102—71no—
331C2×#102—71no—
332C2×#102—71no—
333C2×#102C2×D711yescharacteristic
334C2×#102C2×D711yescharacteristic
335C2×#102C2×D711yescharacteristic
336C2×#102C2×D711yescharacteristic
337C2×C22⋊C8—71no—
338C2×C22⋊C8—71no—
339C2×#97C2×D711yescharacteristic
340C2×C4×C8—71no—
341C23×C7—22no—
342C23×C7—22no—
343C23×C7—42no—
344C23×C7—42no—
345C23×C7—42no—
346C23×C7—42no—
347C23×C7—42no—
348C23×C7—42no—
349C23×C7C22×D411yescharacteristic
350C22×D7—22no—
351C22×D7—22no—
352C22×D7—22no—
353C22×D7C22×D412yes—
354C7×D4—22no—
355C7×D4—22no—
356C7×D4—22no—
357C7×D4—22no—
358C7×D4—42no—
359C7×D4—42no—
360C7×D4—84no—
361C7×D4—84no—
362C2×C4×C7—22no—
363C2×C4×C7—22no—
364C2×C4×C7—22no—
365C2×C4×C7—22no—
366C2×C4×C7—42no—
367C2×C4×C7—42no—
368C2×C4×C7C22×D412yes—
369C2×C4×C7C22×D412yes—
370C2×C4×C7C22×D411yescharacteristic
371C2×C4×C72−1+412yes—
372C2×C4×C72−1+412yes—
373C2×C4×C7C2511yescharacteristic
374C22⋊D7—84no—
375C22⋊D7—84no—
376C2×Dic7—22no—
377C2×Dic7—22no—
378C2×Dic7—22no—
379C2×Dic7—22no—
380C2×Dic7—22no—
381C2×Dic7—22no—
382C2×Dic7—22no—
383C2×Dic7—42no—
384C2×Dic7—42no—
385C2×Dic7—42no—
386C2×Dic7—42no—
387C2×Dic7—84no—
388C2×Dic7—84no—
389C2×Dic7C22×D412yes—
390C2×Dic7C22×D412yes—
391C2×Dic7C22×D412yes—
392C4×D7—24no—
393C4×D7—22no—
394C4×D7—22no—
395C4×D7—84no—
396Dic14—84no—
397Dic14—84no—
398C7×C8—22no—
399C7×C8—22no—
400C7⋊C8—22no—
401C7⋊C8—22no—
402C22×Q8—141no—
403C22×Q8—141no—
404C22×D4—21no—
405C22×D4—21no—
406C22×D4—141no—
407C22×D4—141no—
408C22×D4C22×D711yescharacteristic
409C22×D4C22×D711yescharacteristic
410C23×C4—71no—
411C23×C4—141no—
412C23×C4—141no—
413C23×C4—141no—
414C22×C8—71no—
415C22×C8—71no—
416C22×C8C22×D711yescharacteristic
417C22×C8C22×D711yescharacteristic
418C4⋊Q8—74no—
419C4⋊Q8—74no—
420C4⋊Q8—142no—
421C4⋊Q8—148no—
422C4⋊Q8—142no—
423#127—22no—
424#127C22×D714yes—
425#125—22no—
426#125—74no—
427#125—74no—
428#125—142no—
429#125—148no—
430#125—142no—
431#125C22×D714yes—
432#123—148no—
433#123—148no—
434C22⋊Q8—148no—
435C22⋊Q8—148no—
436#121—74no—
437#121—74no—
438#121—148no—
439#121—148no—
440#121—142no—
441#121—142no—
442C4×D4—74no—
443C4×D4—74no—
444C4×D4—142no—
445C4×D4—142no—
446#117—74no—
447#117—74no—
448#117—74no—
449#117—142no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—71no—
453C2×C4⋊C4—71no—
454C2×C4⋊C4—71no—
455C2×C4⋊C4—71no—
456C2×C4⋊C4—71no—
457C2×C4⋊C4—71no—
458C2×C4⋊C4—74no—
459C2×C4⋊C4—142no—
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⋊C4—141no—
467C2×C4⋊C4C22×D711yescharacteristic
468C2×C4⋊C4C22×D711yescharacteristic
469C2×C22⋊C4—71no—
470C2×C22⋊C4—71no—
471C2×C22⋊C4—141no—
472C2×C22⋊C4—141no—
473C2×C22⋊C4—141no—
474C2×C22⋊C4—141no—
475C2×C22⋊C4—141no—
476C2×C42—71no—
477C2×C42—141no—
478C2×C42C22×D711yescharacteristic
479#107—74no—
480#107—74no—
481#107—74no—
482#107—74no—
483#106—74no—
484#106—74no—
485#106—74no—
486#106—74no—
487C4⋊C8—74no—
488C4⋊C8—74no—
489#102—74no—
490#102—74no—
491#102—74no—
492#102—74no—
493#102C22×D714yes—
494#102C22×D714yes—
495#102C22×D714yes—
496#102C22×D714yes—
497C22⋊C8—74no—
498C22⋊C8—74no—
499#97C22×D714yes—
500C4×C8—74no—
501C22×C7—42no—
502C22×C7—42no—
503C22×C7—42no—
504C22×C7—42no—
505C22×C7—42no—
506C22×C7—42no—
507C22×C7—84no—
508C22×C7—84no—
509C22×C7#53612yes—
510C22×C7#57612yes—
511C22×C7#57712yes—
512C22×C7C23×D411yescharacteristic
513C2×D7—22no—
514C2×D7—22no—
515C2×D7—22no—
516C2×D7—44no—
517C4×C7—22no—
518C4×C7—22no—
519C4×C7—42no—
520C4×C7—42no—
521C4×C7#53612yes—
522C4×C7C2×2−1+411yescharacteristic
523C4×C7C2×2−1+411yescharacteristic
524Dic7—22no—
525Dic7—22no—
526Dic7—22no—
527Dic7—42no—
528Dic7—42no—
529Dic7—42no—
530Dic7—42no—
531C24—21no—
532C24—21no—
533C24—71no—
534C2×Q8—144no—
535C2×Q8—144no—
536C2×Q8—562no—
537C2×Q8—562no—
538C2×D4—21no—
539C2×D4—21no—
540C2×D4—24no—
541C2×D4—24no—
542C2×D4—22no—
543C2×D4—22no—
544C2×D4—22no—
545C2×D4—22no—
546C2×D4—82no—
547C2×D4—82no—
548C2×D4—144no—
549C2×D4—144no—
550C2×D4—562no—
551C2×D4—562no—
552C2×D4C23×D712yes—
553C2×D4C23×D712yes—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—71no—
557C22×C4—71no—
558C22×C4—71no—
559C22×C4—72no—
560C22×C4—72no—
561C22×C4—144no—
562C22×C4—144no—
563C22×C4—144no—
564C22×C4—142no—
565C22×C4—142no—
566C22×C4—141no—
567C22×C4—141no—
568C22×C4—141no—
569C22×C4—141no—
570C22×C4—562no—
571C22×C4—562no—
572C22×C4—562no—
573C22×C4D4×D711yescharacteristic
574C22×C4D4×D711yescharacteristic
575C22×C4C23×D711yescharacteristic
576C2×C8—22no—
577C2×C8—22no—
578C2×C8—72no—
579C2×C8—72no—
580C2×C8—142no—
581C2×C8—142no—
582C2×C8C23×D712yes—
583C2×C8C23×D712yes—
584C4⋊C4—24no—
585C4⋊C4—24no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—74no—
589C4⋊C4—74no—
590C4⋊C4—72no—
591C4⋊C4—72no—
592C4⋊C4—72no—
593C4⋊C4—72no—
594C4⋊C4—144no—
595C4⋊C4—144no—
596C4⋊C4—144no—
597C4⋊C4—144no—
598C4⋊C4—144no—
599C4⋊C4—144no—
600C4⋊C4—141no—
601C4⋊C4—141no—
602C4⋊C4—141no—
603C4⋊C4—141no—
604C4⋊C4—144no—
605C4⋊C4C23×D712yes—
606C4⋊C4C23×D712yes—
607C22⋊C4—74no—
608C22⋊C4—74no—
609C22⋊C4—144no—
610C22⋊C4—144no—
611C22⋊C4—144no—
612C22⋊C4—144no—
613C22⋊C4—144no—
614C42—72no—
615C42—72no—
616C42—144no—
617C42D4×D712yes—
618C42C23×D712yes—
619C2×C7—82no—
620C2×C7—82no—
621C2×C7#324114yescomplemented
622C2×C7C2×#53611yescharacteristic
623C2×C7C2×#57611yescharacteristic
624C2×C7C2×#57711yescharacteristic
625D7—42no—
626C23—22no—
627C23—22no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—72no—
635C23—142no—
636C23—142no—
637C23—142no—
638C23C2×D4×D711yescharacteristic
639Q8—564no—
640Q8—564no—
641D4—22no—
642D4—22no—
643D4—22no—
644D4—22no—
645D4—42no—
646D4—42no—
647D4—84no—
648D4—84no—
649D4—564no—
650D4—564no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—72no—
658C2×C4—72no—
659C2×C4—72no—
660C2×C4—142no—
661C2×C4—142no—
662C2×C4—142no—
663C2×C4—142no—
664C2×C4—142no—
665C2×C4—144no—
666C2×C4—142no—
667C2×C4—142no—
668C2×C4—142no—
669C2×C4—142no—
670C2×C4—282no—
671C2×C4—282no—
672C2×C4—282no—
673C2×C4—282no—
674C2×C4—564no—
675C2×C4—564no—
676C2×C4—564no—
677C2×C4C2×D4×D712yes—
678C2×C4C2×D4×D712yes—
679C2×C4C2×D4×D711yescharacteristic
680C2×C4#655412yes—
681C2×C4#655412yes—
682C2×C4C24×D711yescharacteristic
683C8—22no—
684C8—22no—
685C8—142no—
686C8—142no—
687C7C2×#324111yescharacteristic, complemented, Sylow
688C22—42no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—84no—
695C22—84no—
696C22—142no—
697C22—142no—
698C22—142no—
699C22—284no—
700C22#9036612yes—
701C22#9046512yes—
702C22#9046612yes—
703C22C22×D4×D711yescharacteristic
704C4—22no—
705C4—22no—
706C4—42no—
707C4—42no—
708C4—142no—
709C4—142no—
710C4—142no—
711C4—282no—
712C4—282no—
713C4—282no—
714C4—282no—
715C4#9036612yes—
716C4C2×#655411yescharacteristic
717C4C2×#655411yescharacteristic
718C2—82no—
719C2—82no—
720C2—282no—
721C2#1173916814yesdirect product factor
722C2C2×#9036611yescharacteristic
723C2C2×#9046511yescharacteristic
724C2C2×#9046611yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C7×#490C2
socleC23×C7C22×D4
prime radicalC2×#90410C2
hypercenterC2×#490D7
hypocenterC7C2×#3241
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#490

Complements

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

NH ≅ G/Ntype
2. C2×#90380C2semidirect
3. C2×C7×#490C2semidirect
4. C2×#89842C2semidirect
5. C2×#89836C2semidirect
6. #11739168C2direct (N × H)
7. C2×#89549C2semidirect
8. C2×#89556C2semidirect
9. C2×#89546C2semidirect
10. C2×#89551C2semidirect
11. C2×#89535C2semidirect
12. C2×#89538C2semidirect
13. C2×#89533C2semidirect
14. C2×#89531C2semidirect
15. C2×#89481C2semidirect
16. C2×#89474C2semidirect
30. #90380C22semidirect
42. C7×#490C22semidirect
60. #89842C22semidirect
61. #89836C22semidirect
67. #89556C22semidirect
68. #89551C22semidirect
69. #89549C22semidirect
70. #89546C22semidirect
71. #89538C22semidirect
72. #89535C22semidirect
73. #89533C22semidirect
74. #89531C22semidirect
75. #89481C22semidirect
76. #89474C22semidirect
182. C2×#490D7semidirect
308. #490C2×D7semidirect
621. C2×C7#3241semidirect
687. C7C2×#3241semidirect
721. C2#11739168direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#904102
C2×#903802
C2×C7×#4902
C2×#898422
C2×#898362
#117391682
C2×#895492
C2×#895562
C2×#895462
C2×#895512
C2×#895352
C2×#895382
C2×#895332
C2×#895312
C2×#894812
C2×#894742
C2×#32417