Finite Group Databasebeta

← C2×#11739367 #14225988

Subgroups — C2×#11739367 #14225988

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×#90380C211yesmaximal, characteristic, complemented
2C2×#90389C211yesmaximal, characteristic
3C2×C7×#499C211yesmaximal, characteristic, complemented
4C2×#89837C211yesmaximal, characteristic, complemented
5C2×#89839C211yesmaximal, characteristic, complemented
6#11739367C2116yesmaximal, direct product factor
7C2×#89663C211yesmaximal, characteristic, complemented
8C2×#89662C211yesmaximal, characteristic, complemented
9C2×#89654C211yesmaximal, characteristic, complemented
10C2×#89657C211yesmaximal, characteristic, complemented
11C2×#89643C211yesmaximal, characteristic, complemented
12C2×#89642C211yesmaximal, characteristic, complemented
13C2×#89635C211yesmaximal, characteristic, complemented
14C2×#89638C211yesmaximal, characteristic, complemented
15C2×#89466C211yesmaximal, characteristic, complemented
16C2×#89462C211yesmaximal, characteristic, complemented
17C2×C7×#125C2211yescharacteristic
18C2×C7×#125C2211yescharacteristic
19#90389—24no—
20#90389C2218yes—
21#90380—24no—
22#90380C2218yescomplemented
23C2×#6460—21no—
24C2×#6459—21no—
25C2×#6458—21no—
26C2×#6458—21no—
27C2×#6458C2211yescharacteristic
28C2×#6458C2211yescharacteristic
29C2×#6457—21no—
30C2×#6457—21no—
31C2×#6456C2211yescharacteristic
32C2×#6456C2211yescharacteristic
33C2×#6455C2211yescharacteristic
34C2×D7×C4⋊C4C2211yescharacteristic
35C2×#6453C2211yescharacteristic
36C2×#6452—21no—
37C2×#6451—21no—
38C2×#6451C2211yescharacteristic
39C2×#6437C2211yescharacteristic
40C2×#6435C2211yescharacteristic
41C2×#6432C2211yescharacteristic
42C7×#499C2218yescomplemented
43C2×C7×#107C2211yescharacteristic
44C2×C7×#107C2211yescharacteristic
45C2×C7×#106C2211yescharacteristic
46C2×C7×#106C2211yescharacteristic
47C2×C4×C7×C8C2211yescharacteristic
48C2×#6395C2211yescharacteristic
49C2×#6395C2211yescharacteristic
50C2×#6395C2211yescharacteristic
51C2×#6395C2211yescharacteristic
52C2×(C2×D7)⋊C8C2211yescharacteristic
53C2×(C2×D7)⋊C8C2211yescharacteristic
54C2×Dic7⋊C8C2211yescharacteristic
55C2×Dic7⋊C8C2211yescharacteristic
56#89839C2218yescomplemented
57#89837C2218yescomplemented
58C2×#6383C2211yescharacteristic
59C2×#6383C2211yescharacteristic
60C2×#6383C2211yescharacteristic
61C2×#6383C2211yescharacteristic
62C2×#6382C2211yescharacteristic
63C2×#6382C2211yescharacteristic
64C2×#6381C2211yescharacteristic
65C2×#6381C2211yescharacteristic
66C2×#6377C2211yescharacteristic
67#89663C2218yescomplemented
68#89662C2218yescomplemented
69#89657C2218yescomplemented
70#89654C2218yescomplemented
71#89643C2218yescomplemented
72#89642C2218yescomplemented
73#89638C2218yescomplemented
74#89635C2218yescomplemented
75#89466C2218yescomplemented
76#89462C2218yescomplemented
77C2×#3241—71nomaximal, Sylow
78C22×D28—21no—
79C22×D28—21no—
80C22×D28—21no—
81C22×D28—21no—
82C22×D28C2311yescharacteristic
83C22×D28C2311yescharacteristic
84C22×C4×D7—21no—
85C22×C4×D7—21no—
86C22×C4×D7—21no—
87C22×C4×D7C2311yescharacteristic
88C22×Dic14—21no—
89C22×Dic14—21no—
90C22×C7×C8C2311yescharacteristic
91C22×C7×C8C2311yescharacteristic
92C7×#125—22no—
93C7×#125—22no—
94C7×#125C2314yes—
95C7×#125C2314yes—
96C2×C7×C4⋊C4—21no—
97C2×C7×C4⋊C4—21no—
98C2×C7×C4⋊C4—21no—
99C2×C7×C4⋊C4—21no—
100C2×C7×C4⋊C4C2311yescharacteristic
101C2×C7×C4⋊C4C2311yescharacteristic
102C2×C7×C4⋊C4C2311yescharacteristic
103C2×C7×C4⋊C4C2311yescharacteristic
104C2×C42×C7C2311yescharacteristic
105C2×(C2×D7)⋊C4—21no—
106C2×(C2×D7)⋊C4—21no—
107C2×(C2×D7)⋊C4—21no—
108C2×(C2×D7)⋊C4—21no—
109C2×(C2×D7)⋊C4—21no—
110C2×(C2×D7)⋊C4D411yescharacteristic
111C2×(C2×D7)⋊C4D411yescharacteristic
112C2×C4⋊Dic7—21no—
113C2×C4⋊Dic7—21no—
114C2×C4⋊Dic7C2311yescharacteristic
115C2×C4⋊Dic7C2311yescharacteristic
116C2×Dic7⋊C4—21no—
117C2×Dic7⋊C4—21no—
118C2×Dic7⋊C4—21no—
119C2×Dic7⋊C4D411yescharacteristic
120C2×Dic7⋊C4D411yescharacteristic
121C2×C4×Dic7—21no—
122C2×C4×Dic7C2311yescharacteristic
123C22×C7⋊C8C2311yescharacteristic
124C22×C7⋊C8C2311yescharacteristic
125#6460—28no—
126#6459—28no—
127#6458—22no—
128#6458—22no—
129#6458—28no—
130#6458—28no—
131#6458C2314yes—
132#6458C2314yes—
133#6457—28no—
134#6457—28no—
135#6456—22no—
136#6456—22no—
137#6456C2314yes—
138#6456C2314yes—
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#6437—22no—
150#6437C2314yes—
151#6435D414yes—
152#6435C2314yes—
153#6432—22no—
154#6432C2314yes—
155C7×#107C2314yes—
156C7×#107C2314yes—
157C7×#106C2314yes—
158C7×#106C2314yes—
159C4×C7×C8C2314yes—
160#6395C2314yes—
161#6395C2314yes—
162#6395C2314yes—
163#6395C2314yes—
164(C2×D7)⋊C8C2314yes—
165(C2×D7)⋊C8C2314yes—
166Dic7⋊C8C2314yes—
167Dic7⋊C8C2314yes—
168#6383C2314yes—
169#6383C2314yes—
170#6383C2314yes—
171#6383C2314yes—
172#6382C2314yes—
173#6382C2314yes—
174#6381C2314yes—
175#6381C2314yes—
176#6377C2314yes—
177C2×#544—71no—
178C2×#540—71no—
179#3241—716no—
180C2×#501—71no—
181C2×#499D711yescharacteristic, complemented
182C2×#490—71no—
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—
193C23×D7—21no—
194C23×D7—21no—
195C23×D7C2×D411yescharacteristic
196C22×C4×C7—21no—
197C22×C4×C7—21no—
198C22×C4×C7—21no—
199C22×C4×C7—21no—
200C22×C4×C7C2×D411yescharacteristic
201C22×C4×C7C2×D411yescharacteristic
202C22×C4×C7C2411yescharacteristic
203C22×Dic7—21no—
204C22×Dic7—21no—
205C22×Dic7C2×D411yescharacteristic
206C22×Dic7C2×D411yescharacteristic
207C22×Dic7C2×D411yescharacteristic
208C2×D28—22no—
209C2×D28—22no—
210C2×D28—22no—
211C2×D28—22no—
212C2×D28—21no—
213C2×D28—21no—
214C2×D28—24no—
215C2×D28—24no—
216C2×D28—24no—
217C2×D28—24no—
218C2×D28—82no—
219C2×D28—82no—
220C2×D28—82no—
221C2×D28—82no—
222C2×D28C2412yes—
223C2×D28C2412yes—
224C2×C4×D7—22no—
225C2×C4×D7—22no—
226C2×C4×D7—24no—
227C2×C4×D7—24no—
228C2×C4×D7—24no—
229C2×C4×D7—82no—
230C2×C4×D7—82no—
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⋊C4—21no—
247C7×C4⋊C4—21no—
248C7×C4⋊C4—24no—
249C7×C4⋊C4—24no—
250C7×C4⋊C4C2412yes—
251C7×C4⋊C4C2412yes—
252C7×C4⋊C4C2412yes—
253C7×C4⋊C4C2412yes—
254C42×C7C2×D412yes—
255C42×C7C2412yes—
256(C2×D7)⋊C4—24no—
257(C2×D7)⋊C4—24no—
258(C2×D7)⋊C4—24no—
259(C2×D7)⋊C4—24no—
260(C2×D7)⋊C4—24no—
261(C2×D7)⋊C4C2×D414yes—
262(C2×D7)⋊C4C2×D414yes—
263C4⋊Dic7—21no—
264C4⋊Dic7—21no—
265C4⋊Dic7—24no—
266C4⋊Dic7—24no—
267C4⋊Dic7C2412yes—
268C4⋊Dic7C2412yes—
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×#127—71no—
289C2×#125—71no—
290C2×#125—141no—
291C2×#125C2×D711yescharacteristic
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#499C2×D718yescomplemented
308#490—78no—
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×#107C2×D711yescharacteristic
322C2×#107C2×D711yescharacteristic
323C2×#106—71no—
324C2×#106—71no—
325C2×#106C2×D711yescharacteristic
326C2×#106C2×D711yescharacteristic
327C2×C4⋊C8—71no—
328C2×C4⋊C8—71no—
329C2×#102—71no—
330C2×#102—71no—
331C2×#102—71no—
332C2×#102—71no—
333C2×#102—71no—
334C2×#102—71no—
335C2×#102—71no—
336C2×#102—71no—
337C2×C22⋊C8—71no—
338C2×C22⋊C8—71no—
339C2×#97—71no—
340C2×C4×C8C2×D711yescharacteristic
341C23×C7C22×D411yescharacteristic
342C22×D7—22no—
343C22×D7—22no—
344C22×D7—22no—
345C22×D7—22no—
346C22×D7—22no—
347C22×D7—42no—
348C22×D7—42no—
349C22×D7—42no—
350C22×D7—42no—
351C22×D7—42no—
352C22×D7—42no—
353C22×D7C22×D412yes—
354C2×C4×C7—22no—
355C2×C4×C7—22no—
356C2×C4×C7—22no—
357C2×C4×C7—22no—
358C2×C4×C7—22no—
359C2×C4×C7—22no—
360C2×C4×C7—42no—
361C2×C4×C7—42no—
362C2×C4×C7—42no—
363C2×C4×C7—42no—
364C2×C4×C7C22×D412yes—
365C2×C4×C7C22×D412yes—
366C2×C4×C7C22×D411yescharacteristic
367C2×C4×C72−1+412yes—
368C2×C4×C72−1+412yes—
369C2×C4×C7C2511yescharacteristic
370C2×Dic7—22no—
371C2×Dic7—22no—
372C2×Dic7—22no—
373C2×Dic7—22no—
374C2×Dic7—22no—
375C2×Dic7—42no—
376C2×Dic7—42no—
377C2×Dic7C22×D412yes—
378C2×Dic7C22×D412yes—
379C2×Dic7C22×D412yes—
380D28—22no—
381D28—22no—
382D28—22no—
383D28—22no—
384D28—42no—
385D28—42no—
386D28—84no—
387D28—84no—
388D28—84no—
389D28—84no—
390C4×D7—24no—
391C4×D7—22no—
392C4×D7—22no—
393C4×D7—84no—
394C4×D7—84no—
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—71no—
405C22×D4—71no—
406C22×D4—141no—
407C22×D4—141no—
408C22×D4—141no—
409C22×D4—141no—
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—74no—
424#127—142no—
425#125—22no—
426#125—22no—
427#125—74no—
428#125—142no—
429#125—148no—
430#125C22×D714yes—
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—21no—
453C2×C4⋊C4—21no—
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⋊C4C22×D711yescharacteristic
466C2×C4⋊C4C22×D711yescharacteristic
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#107C22×D714yes—
482#107C22×D714yes—
483#106—74no—
484#106—74no—
485#106C22×D714yes—
486#106C22×D714yes—
487C4⋊C8—74no—
488C4⋊C8—74no—
489#102—74no—
490#102—74no—
491#102—74no—
492#102—74no—
493#102—74no—
494#102—74no—
495#102—74no—
496#102—74no—
497C22⋊C8—74no—
498C22⋊C8—74no—
499#97—74no—
500C4×C8C22×D714yes—
501C22×C7#53612yes—
502C22×C7#57612yes—
503C22×C7#57712yes—
504C22×C7C23×D411yescharacteristic
505C2×D7—22no—
506C2×D7—22no—
507C2×D7—22no—
508C2×D7—44no—
509C2×D7—42no—
510C2×D7—42no—
511C2×D7—42no—
512C2×D7—42no—
513C2×D7—42no—
514C2×D7—42no—
515C2×D7—84no—
516C2×D7—84no—
517C4×C7—22no—
518C4×C7—22no—
519C4×C7—42no—
520C4×C7—42no—
521C4×C7—42no—
522C4×C7—42no—
523C4×C7#53612yes—
524C4×C7C2×2−1+411yescharacteristic
525C4×C7C2×2−1+411yescharacteristic
526Dic7—22no—
527Dic7—22no—
528Dic7—22no—
529Dic7—42no—
530Dic7—42no—
531C24—71no—
532C24—141no—
533C24—141no—
534C2×Q8—144no—
535C2×Q8—144no—
536C2×Q8—562no—
537C2×Q8—562no—
538C2×D4—72no—
539C2×D4—72no—
540C2×D4—144no—
541C2×D4—144no—
542C2×D4—141no—
543C2×D4—141no—
544C2×D4—144no—
545C2×D4—144no—
546C2×D4—142no—
547C2×D4—142no—
548C2×D4—142no—
549C2×D4—142no—
550C2×D4—562no—
551C2×D4—562no—
552C2×D4—562no—
553C2×D4—562no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—21no—
557C22×C4—21no—
558C22×C4—71no—
559C22×C4—71no—
560C22×C4—71no—
561C22×C4—72no—
562C22×C4—72no—
563C22×C4—144no—
564C22×C4—144no—
565C22×C4—144no—
566C22×C4—142no—
567C22×C4—142no—
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—24no—
587C4⋊C4—24no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—74no—
593C4⋊C4—74no—
594C4⋊C4—72no—
595C4⋊C4—72no—
596C4⋊C4—144no—
597C4⋊C4—144no—
598C4⋊C4—144no—
599C4⋊C4—144no—
600C4⋊C4—141no—
601C4⋊C4—141no—
602C4⋊C4—144no—
603C4⋊C4C23×D712yes—
604C4⋊C4C23×D712yes—
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#324114yescomplemented
620C2×C7C2×#53611yescharacteristic
621C2×C7C2×#57611yescharacteristic
622C2×C7C2×#57711yescharacteristic
623D7—42no—
624D7—82no—
625D7—82no—
626C23—72no—
627C23—142no—
628C23—142no—
629C23—142no—
630C23—142no—
631C23—142no—
632C23—282no—
633C23—282no—
634C23—282no—
635C23—282no—
636C23—282no—
637C23—282no—
638C23C2×D4×D711yescharacteristic
639Q8—564no—
640Q8—564no—
641D4—142no—
642D4—142no—
643D4—142no—
644D4—142no—
645D4—282no—
646D4—282no—
647D4—564no—
648D4—564no—
649D4—564no—
650D4—564no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—72no—
662C2×C4—72no—
663C2×C4—72no—
664C2×C4—142no—
665C2×C4—142no—
666C2×C4—142no—
667C2×C4—144no—
668C2×C4—142no—
669C2×C4—142no—
670C2×C4—142no—
671C2×C4—142no—
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#655112yes—
681C2×C4#655112yes—
682C2×C4C24×D711yescharacteristic
683C8—22no—
684C8—22no—
685C8—142no—
686C8—142no—
687C7C2×#324111yescharacteristic, complemented, Sylow
688C22—142no—
689C22—142no—
690C22—142no—
691C22—284no—
692C22—282no—
693C22—282no—
694C22—282no—
695C22—282no—
696C22—282no—
697C22—282no—
698C22—564no—
699C22—564no—
700C22#9041512yes—
701C22#9046012yes—
702C22#9046112yes—
703C22C22×D4×D711yescharacteristic
704C4—22no—
705C4—22no—
706C4—42no—
707C4—42no—
708C4—42no—
709C4—42no—
710C4—142no—
711C4—142no—
712C4—142no—
713C4—282no—
714C4—282no—
715C4#9041512yes—
716C4C2×#655111yescharacteristic
717C4C2×#655111yescharacteristic
718C2—282no—
719C2—562no—
720C2—562no—
721C2#1173936714yesdirect product factor
722C2C2×#9041511yescharacteristic
723C2C2×#9046011yescharacteristic
724C2C2×#9046111yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C7×#499C2
socleC23×C7C22×D4
prime radicalC2×#90389C2
hypercenterC2×#499D7
hypocenterC7C2×#3241
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#499

Complements

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

NH ≅ G/Ntype
1. C2×#90380C2semidirect
3. C2×C7×#499C2semidirect
4. C2×#89837C2semidirect
5. C2×#89839C2semidirect
6. #11739367C2direct (N × H)
7. C2×#89663C2semidirect
8. C2×#89662C2semidirect
9. C2×#89654C2semidirect
10. C2×#89657C2semidirect
11. C2×#89643C2semidirect
12. C2×#89642C2semidirect
13. C2×#89635C2semidirect
14. C2×#89638C2semidirect
15. C2×#89466C2semidirect
16. C2×#89462C2semidirect
22. #90380C22semidirect
42. C7×#499C22semidirect
56. #89839C22semidirect
57. #89837C22semidirect
67. #89663C22semidirect
68. #89662C22semidirect
69. #89657C22semidirect
70. #89654C22semidirect
71. #89643C22semidirect
72. #89642C22semidirect
73. #89638C22semidirect
74. #89635C22semidirect
75. #89466C22semidirect
76. #89462C22semidirect
181. C2×#499D7semidirect
307. #499C2×D7semidirect
619. C2×C7#3241semidirect
687. C7C2×#3241semidirect
721. C2#11739367direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#903802
C2×#903892
C2×C7×#4992
C2×#898372
C2×#898392
#117393672
C2×#896632
C2×#896622
C2×#896542
C2×#896572
C2×#896432
C2×#896422
C2×#896352
C2×#896382
C2×#894662
C2×#894622
C2×#32417