Finite Group Databasebeta

← C2×#11738946 #14225877

Subgroups — C2×#11738946 #14225877

Order 1792.

1810 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×#90315C211yesmaximal, characteristic
2C2×#90208C211yesmaximal, characteristic, complemented
3C2×C7×#485C211yesmaximal, characteristic, complemented
4C2×#89817C211yesmaximal, characteristic, complemented
5C2×#89775C211yesmaximal, characteristic
6#11738946C2116yesmaximal, direct product factor
7C2×#89662C211yesmaximal, characteristic, complemented
8C2×#89650C211yesmaximal, characteristic, complemented
9C2×#89642C211yesmaximal, characteristic, complemented
10C2×#89630C211yesmaximal, characteristic, complemented
11C2×#89572C211yesmaximal, characteristic, complemented
12C2×#89572C211yesmaximal, characteristic, complemented
13C2×#89566C211yesmaximal, characteristic, complemented
14C2×#89563C211yesmaximal, characteristic, complemented
15C2×#89509C211yesmaximal, characteristic
16C2×#89490C211yesmaximal, characteristic, complemented
17C2×C7×C22⋊Q8C2211yescharacteristic
18C2×C7×#117C2211yescharacteristic
19C2×#6510C2211yescharacteristic
20C2×Q8×Dic7C2211yescharacteristic
21C2×#6493C2211yescharacteristic
22C2×#6489C2211yescharacteristic
23C22×C4×Dic7C2211yescharacteristic
24#90315—24no—
25#90315C2218yes—
26#90208—24no—
27#90208C2218yescomplemented
28C2×#6461—21no—
29C2×#6456C2211yescharacteristic
30C2×#6455—21no—
31C2×#6453C2211yescharacteristic
32C2×#6453C2211yescharacteristic
33C2×#6453C2211yescharacteristic
34C2×#6451C2211yescharacteristic
35C2×#6451C2211yescharacteristic
36C2×#6449—21no—
37C2×(C22⋊D7)⋊C4—21no—
38C2×#6441—21no—
39C2×#6441—21no—
40C2×C4×Dic14—21no—
41C2×C4×Dic14—21no—
42C7×#485C2218yescomplemented
43C2×C7×#107C2211yescharacteristic
44C2×C7×#106C2211yescharacteristic
45C2×C7×#103C2211yescharacteristic
46C2×C7×#103C2211yescharacteristic
47C2×C7×C22⋊C8C2211yescharacteristic
48C2×#6409C2211yescharacteristic
49C2×#6409C2211yescharacteristic
50C2×C22⋊(C7⋊C8)C2211yescharacteristic
51C2×#6395C2211yescharacteristic
52C2×#6395C2211yescharacteristic
53C2×#6392C2211yescharacteristic
54C2×#6391C2211yescharacteristic
55C2×Dic7⋊C8C2211yescharacteristic
56C2×Dic7⋊C8C2211yescharacteristic
57C2×C8×Dic7C2211yescharacteristic
58C2×C8×Dic7C2211yescharacteristic
59#89817C2218yescomplemented
60#89775C2218yes—
61C2×#6383C2211yescharacteristic
62C2×#6383C2211yescharacteristic
63C2×#6382C2211yescharacteristic
64C2×#6382C2211yescharacteristic
65C2×#6381C2211yescharacteristic
66C2×#6381C2211yescharacteristic
67#89662C2218yescomplemented
68#89650C2218yescomplemented
69#89642C2218yescomplemented
70#89630C2218yescomplemented
71#89572C2218yescomplemented
72#89572C2218yescomplemented
73#89566C2218yescomplemented
74#89563C2218yescomplemented
75#89509C2218yes—
76#89490C2218yescomplemented
77C2×#3233—71nomaximal, Sylow
78C22×C7×Q8C2311yescharacteristic
79C23×C4×C7C2311yescharacteristic
80C22×C22⋊D7—21no—
81C23×Dic7D411yescharacteristic
82C23×Dic7D411yescharacteristic
83C22×D28C2311yescharacteristic
84C22×C4×D7—21no—
85C22×Dic14—21no—
86C22×Dic14—21no—
87C22×C7×C8C2311yescharacteristic
88C22×C7×C8C2311yescharacteristic
89C7×C22⋊Q8—22no—
90C7×C22⋊Q8C2314yes—
91C7×#117—22no—
92C7×#117C2314yes—
93C2×C7×C4⋊C4—21no—
94C2×C7×C4⋊C4C2311yescharacteristic
95C2×C7×C4⋊C4C2311yescharacteristic
96C2×C7×C4⋊C4C2311yescharacteristic
97C2×C7×C22⋊C4—21no—
98C2×C7×C22⋊C4—21no—
99C2×C42×C7—21no—
100C2×C22⋊Dic7—21no—
101#6510—22no—
102#6510C2314yes—
103Q8×Dic7—22no—
104Q8×Dic7C2314yes—
105#6493—22no—
106#6493C2314yes—
107C2×(C2×D7)⋊C4—21no—
108C2×(C2×D7)⋊C4—21no—
109C2×(C2×D7)⋊C4—21no—
110C2×(C2×D7)⋊C4—21no—
111#6489—22no—
112#6489C2314yes—
113C2×C4⋊Dic7—21no—
114C2×C4⋊Dic7—21no—
115C2×C4⋊Dic7—21no—
116C2×C4⋊Dic7—21no—
117C2×C4⋊Dic7C2311yescharacteristic
118C2×C4⋊Dic7C2311yescharacteristic
119C2×C4⋊Dic7C2311yescharacteristic
120C2×Dic7⋊C4—21no—
121C2×Dic7⋊C4—21no—
122C2×Dic7⋊C4—21no—
123C2×Dic7⋊C4—21no—
124C2×Dic7⋊C4—21no—
125C2×C4×Dic7—21no—
126C2×C4×Dic7—21no—
127C2×C4×Dic7D411yescharacteristic
128C2×C4×Dic7D411yescharacteristic
129C2×C4×Dic7D414yes—
130C2×C4×Dic7C2311yescharacteristic
131C2×C4×Dic7C2311yescharacteristic
132C2×C4×Dic7C2314yes—
133C22×C7⋊C8C2311yescharacteristic
134C22×C7⋊C8C2311yescharacteristic
135#6461—28no—
136#6456—22no—
137#6456C2314yes—
138#6455—28no—
139#6453—22no—
140#6453—22no—
141#6453—22no—
142#6453C2314yes—
143#6453C2314yes—
144#6453C2314yes—
145#6451—22no—
146#6451—22no—
147#6451C2314yes—
148#6451C2314yes—
149#6449—28no—
150(C22⋊D7)⋊C4—28no—
151#6441—28no—
152#6441—28no—
153C4×Dic14—28no—
154C4×Dic14—28no—
155C7×#107C2314yes—
156C7×#106C2314yes—
157C7×#103C2314yes—
158C7×#103C2314yes—
159C7×C22⋊C8C2314yes—
160#6409C2314yes—
161#6409C2314yes—
162C22⋊(C7⋊C8)C2314yes—
163#6395C2314yes—
164#6395C2314yes—
165#6392C2314yes—
166#6391C2314yes—
167Dic7⋊C8C2314yes—
168Dic7⋊C8C2314yes—
169C8×Dic7C2314yes—
170C8×Dic7C2314yes—
171#6383C2314yes—
172#6383C2314yes—
173#6382C2314yes—
174#6382C2314yes—
175#6381C2314yes—
176#6381C2314yes—
177C2×#533—71no—
178C2×#529—71no—
179#3233—716no—
180C2×#499—71no—
181C2×#499—71no—
182C2×#488—71no—
183C2×#488—71no—
184C2×#485—71no—
185C2×#485D711yescharacteristic, complemented
186C2×#482—71no—
187C2×#482—71no—
188C2×#477—71no—
189C2×#475—71no—
190C2×#476—71no—
191C2×#474—71no—
192C2×#431—71no—
193C24×C7C2×D411yescharacteristic
194C23×D7—21no—
195C2×C7×Q8—21no—
196C2×C7×Q8—22no—
197C2×C7×Q8—22no—
198C2×C7×Q8C2412yes—
199C22×C4×C7—22no—
200C22×C4×C7—22no—
201C22×C4×C7—21no—
202C22×C4×C7—21no—
203C22×C4×C7—21no—
204C22×C4×C7—21no—
205C22×C4×C7C2×D411yescharacteristic
206C22×C4×C7C2×D412yes—
207C22×C4×C7C2412yes—
208C22×C4×C7C2411yescharacteristic
209C2×C22⋊D7—24no—
210C2×C22⋊D7—44no—
211C22×Dic7—24no—
212C22×Dic7—21no—
213C22×Dic7—21no—
214C22×Dic7—21no—
215C22×Dic7—42no—
216C22×Dic7C2×D414yes—
217C22×Dic7C2×D411yescharacteristic
218C22×Dic7C2×D411yescharacteristic
219C22×Dic7C2×D411yescharacteristic
220C22×Dic7C2×D414yes—
221C22×Dic7C2×D411yescharacteristic
222C2×D28—22no—
223C2×D28—22no—
224C2×D28—21no—
225C2×D28C2412yes—
226C2×C4×D7—24no—
227C2×C4×D7—44no—
228C2×Dic14—24no—
229C2×Dic14—24no—
230C2×Dic14—44no—
231C2×Dic14—44no—
232C2×C7×C8—22no—
233C2×C7×C8—22no—
234C2×C7×C8C2412yes—
235C2×C7×C8C2412yes—
236C7×C4⋊C4—21no—
237C7×C4⋊C4—21no—
238C7×C4⋊C4—21no—
239C7×C4⋊C4—24no—
240C7×C4⋊C4C2412yes—
241C7×C4⋊C4C2412yes—
242C7×C4⋊C4C2412yes—
243C7×C22⋊C4—24no—
244C7×C22⋊C4—24no—
245C42×C7—24no—
246C22⋊Dic7—24no—
247(C2×D7)⋊C4—24no—
248(C2×D7)⋊C4—24no—
249(C2×D7)⋊C4—24no—
250(C2×D7)⋊C4—24no—
251C4⋊Dic7—21no—
252C4⋊Dic7—21no—
253C4⋊Dic7—21no—
254C4⋊Dic7—24no—
255C4⋊Dic7—24no—
256C4⋊Dic7—24no—
257C4⋊Dic7—24no—
258C4⋊Dic7C2412yes—
259C4⋊Dic7C2412yes—
260C4⋊Dic7C2412yes—
261Dic7⋊C4—24no—
262Dic7⋊C4—24no—
263Dic7⋊C4—24no—
264Dic7⋊C4—24no—
265Dic7⋊C4—24no—
266C4×Dic7—24no—
267C4×Dic7—24no—
268C4×Dic7C2×D414yes—
269C4×Dic7C2×D414yes—
270C4×Dic7C2×D412yes—
271C4×Dic7C2×D412yes—
272C4×Dic7C2412yes—
273C4×Dic7C2412yes—
274C2×C7⋊C8—22no—
275C2×C7⋊C8—22no—
276C2×C7⋊C8C2412yes—
277C2×C7⋊C8C2412yes—
278#533—78no—
279#533—144no—
280C2×C4⋊Q8—71no—
281C2×C4⋊Q8—71no—
282#529—78no—
283#529—144no—
284C2×#126—141no—
285C2×#125—71no—
286C2×#125—71no—
287C2×#125—71no—
288C2×#124—71no—
289C2×#123—141no—
290C2×C22⋊Q8—141no—
291C2×C22⋊Q8—141no—
292C2×C22⋊Q8C2×D711yescharacteristic
293C2×#121—71no—
294C2×C4×Q8—71no—
295C2×C4×Q8—141no—
296C2×C4×Q8—141no—
297C2×C4×D4—71no—
298C2×C4×D4—141no—
299C2×#117—71no—
300C2×#117—141no—
301C2×#117C2×D711yescharacteristic
302C22×C42—71no—
303#499—78no—
304#499—78no—
305#488—78no—
306#488—78no—
307#485—78no—
308#485C2×D718yescomplemented
309#482—78no—
310#482—78no—
311#477—78no—
312#476—78no—
313#475—78no—
314#474—78no—
315#431—78no—
316C2×#107—71no—
317C2×#107—71no—
318C2×#107—71no—
319C2×#107C2×D711yescharacteristic
320C2×#106—71no—
321C2×#106—71no—
322C2×#106—71no—
323C2×#106C2×D711yescharacteristic
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×#102—71no—
333C2×#102—71no—
334C2×C22⋊C8—71no—
335C2×C22⋊C8C2×D711yescharacteristic
336C2×C4×C8—71no—
337C2×C4×C8—71no—
338C23×C7—22no—
339C23×C7—22no—
340C23×C7—22no—
341C23×C7C22×D412yes—
342C23×C7C22×D411yescharacteristic
343C22×D7—22no—
344C22×D7—42no—
345C22×D7—42no—
346C22×D7—42no—
347C7×Q8—22no—
348C7×Q8—22no—
349C7×Q8—42no—
350C2×C4×C7—22no—
351C2×C4×C7—24no—
352C2×C4×C7—22no—
353C2×C4×C7—22no—
354C2×C4×C7—22no—
355C2×C4×C7—22no—
356C2×C4×C7—22no—
357C2×C4×C7—22no—
358C2×C4×C7—42no—
359C2×C4×C7—42no—
360C2×C4×C7—42no—
361C2×C4×C7—42no—
362C2×C4×C7C22×D412yes—
363C2×C4×C7C22×D411yescharacteristic
364C2×C4×C72−1+412yes—
365C2×C4×C72−1+412yes—
366C2×C4×C7C2511yescharacteristic
367C22⋊D7—48no—
368C2×Dic7—22no—
369C2×Dic7—22no—
370C2×Dic7—22no—
371C2×Dic7—28no—
372C2×Dic7—22no—
373C2×Dic7—22no—
374C2×Dic7—22no—
375C2×Dic7—44no—
376C2×Dic7—42no—
377C2×Dic7—42no—
378C2×Dic7—42no—
379C2×Dic7#13514yes—
380C2×Dic7C22×D412yes—
381C2×Dic7C22×D412yes—
382C2×Dic7C22×D412yes—
383C2×Dic7C22×D412yes—
384D28—22no—
385D28—22no—
386D28—42no—
387C4×D7—48no—
388Dic14—48no—
389Dic14—48no—
390C7×C8—22no—
391C7×C8—22no—
392C7⋊C8—22no—
393C7⋊C8—22no—
394C22×Q8—141no—
395C22×Q8—141no—
396C22×Q8C22×D711yescharacteristic
397C22×D4—71no—
398C22×D4—141no—
399C23×C4—71no—
400C23×C4—71no—
401C23×C4—141no—
402C23×C4C22×D711yescharacteristic
403C22×C8—71no—
404C22×C8—71no—
405C22×C8C22×D711yescharacteristic
406C22×C8C22×D711yescharacteristic
407C4⋊Q8—74no—
408C4⋊Q8—74no—
409C4⋊Q8—142no—
410C4⋊Q8—142no—
411#126—148no—
412#125—74no—
413#125—74no—
414#125—74no—
415#125—142no—
416#125—142no—
417#125—142no—
418#124—74no—
419#124—142no—
420#123—148no—
421C22⋊Q8—22no—
422C22⋊Q8—148no—
423C22⋊Q8—148no—
424C22⋊Q8C22×D714yes—
425#121—74no—
426#121—142no—
427C4×Q8—74no—
428C4×Q8—148no—
429C4×Q8—148no—
430C4×Q8—142no—
431C4×D4—74no—
432C4×D4—142no—
433C4×D4—148no—
434#117—22no—
435#117—74no—
436#117—148no—
437#117—142no—
438#117C22×D714yes—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—71no—
441C2×C4⋊C4—71no—
442C2×C4⋊C4—71no—
443C2×C4⋊C4—141no—
444C2×C4⋊C4—141no—
445C2×C4⋊C4—141no—
446C2×C4⋊C4—141no—
447C2×C4⋊C4—141no—
448C2×C4⋊C4—141no—
449C2×C4⋊C4—141no—
450C2×C4⋊C4—141no—
451C2×C4⋊C4—141no—
452C2×C4⋊C4C22×D711yescharacteristic
453C2×C4⋊C4C22×D711yescharacteristic
454C2×C4⋊C4C22×D711yescharacteristic
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—141no—
458C2×C22⋊C4—141no—
459C2×C22⋊C4—141no—
460C2×C22⋊C4—141no—
461C2×C22⋊C4—141no—
462C2×C42—21no—
463C2×C42—71no—
464C2×C42—71no—
465C2×C42—74no—
466C2×C42—71no—
467C2×C42—71no—
468C2×C42—74no—
469C2×C42—141no—
470C2×C42—141no—
471#107—74no—
472#107—74no—
473#107—74no—
474#107C22×D714yes—
475#106—74no—
476#106—74no—
477#106—74no—
478#106C22×D714yes—
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#102—74no—
488#102—74no—
489C22⋊C8—74no—
490C22⋊C8C22×D714yes—
491C4×C8—74no—
492C4×C8—74no—
493C22×C7—22no—
494C22×C7—22no—
495C22×C7—22no—
496C22×C7—44no—
497C22×C7#53612yes—
498C22×C7C2×#13512yes—
499C22×C7#57512yes—
500C22×C7C23×D411yescharacteristic
501C2×D7—42no—
502C2×D7—42no—
503C2×D7—42no—
504C2×D7—84no—
505C4×C7—22no—
506C4×C7—42no—
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—
519Dic7C2×#13514yes—
520C24—141no—
521C24D4×D711yescharacteristic
522C2×Q8—21no—
523C2×Q8—22no—
524C2×Q8—22no—
525C2×Q8—144no—
526C2×Q8—144no—
527C2×Q8—284no—
528C2×Q8—284no—
529C2×Q8C23×D712yes—
530C2×D4—72no—
531C2×D4—144no—
532C2×D4—141no—
533C2×D4—142no—
534C2×D4—142no—
535C2×D4—284no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—71no—
543C22×C4—74no—
544C22×C4—71no—
545C22×C4—71no—
546C22×C4—71no—
547C22×C4—74no—
548C22×C4—144no—
549C22×C4—144no—
550C22×C4—141no—
551C22×C4—141no—
552C22×C4—141no—
553C22×C4—284no—
554C22×C4—282no—
555C22×C4D4×D712yes—
556C22×C4D4×D711yescharacteristic
557C22×C4C23×D712yes—
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—21no—
571C4⋊C4—72no—
572C4⋊C4—72no—
573C4⋊C4—72no—
574C4⋊C4—144no—
575C4⋊C4—144no—
576C4⋊C4—144no—
577C4⋊C4—144no—
578C4⋊C4—144no—
579C4⋊C4—144no—
580C4⋊C4—144no—
581C4⋊C4—144no—
582C4⋊C4—144no—
583C4⋊C4—141no—
584C4⋊C4—141no—
585C4⋊C4—141no—
586C4⋊C4C23×D712yes—
587C4⋊C4C23×D712yes—
588C4⋊C4C23×D712yes—
589C22⋊C4—24no—
590C22⋊C4—24no—
591C22⋊C4—144no—
592C22⋊C4—144no—
593C22⋊C4—144no—
594C22⋊C4—144no—
595C22⋊C4—144no—
596C42—24no—
597C42—74no—
598C42—72no—
599C42—74no—
600C42—72no—
601C42—72no—
602C42—72no—
603C42—144no—
604C42—144no—
605C2×C7—42no—
606C2×C7#323314yescomplemented
607C2×C7C2×#53611yescharacteristic
608C2×C7C22×#13511yescharacteristic
609C2×C7C2×#57511yescharacteristic
610D7—82no—
611C23—22no—
612C23—22no—
613C23—22no—
614C23—142no—
615C23—282no—
616C23—282no—
617C23—282no—
618C23C2×D4×D712yes—
619C23C2×D4×D711yescharacteristic
620Q8—22no—
621Q8—22no—
622Q8—42no—
623Q8—288no—
624Q8—288no—
625D4—142no—
626D4—142no—
627D4—288no—
628D4—282no—
629C2×C4—22no—
630C2×C4—24no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—74no—
642C2×C4—72no—
643C2×C4—72no—
644C2×C4—72no—
645C2×C4—72no—
646C2×C4—148no—
647C2×C4—142no—
648C2×C4—142no—
649C2×C4—142no—
650C2×C4—142no—
651C2×C4—142no—
652C2×C4—142no—
653C2×C4—288no—
654C2×C4—284no—
655C2×C4—282no—
656C2×C4—282no—
657C2×C4—282no—
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×#323311yescharacteristic, complemented, Sylow
668C22—22no—
669C22—22no—
670C22—22no—
671C22—44no—
672C22—282no—
673C22—282no—
674C22—282no—
675C22—564no—
676C22#9033912yes—
677C22D7×#13512yes—
678C22#9046812yes—
679C22C22×D4×D711yescharacteristic
680C4—22no—
681C4—42no—
682C4—42no—
683C4—42no—
684C4—42no—
685C4—74no—
686C4—142no—
687C4—142no—
688C4—142no—
689C4—282no—
690C4—282no—
691C4—282no—
692C4#9033912yes—
693C4C2×#655411yescharacteristic
694C4C2×#655411yescharacteristic
695C2—42no—
696C2—562no—
697C2#1173894614yesdirect product factor
698C2C2×#9033911yescharacteristic
699C2C2×D7×#13511yescharacteristic
700C2C2×#9046811yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C7×#485C2
socleC23×C7C22×D4
prime radicalC2×#6493C22
hypercenterC2×#485D7
hypocenterC7C2×#3233
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
2. C2×#90208C2semidirect
3. C2×C7×#485C2semidirect
4. C2×#89817C2semidirect
6. #11738946C2direct (N × H)
7. C2×#89662C2semidirect
8. C2×#89650C2semidirect
9. C2×#89642C2semidirect
10. C2×#89630C2semidirect
11. C2×#89572C2semidirect
12. C2×#89572C2semidirect
13. C2×#89566C2semidirect
14. C2×#89563C2semidirect
16. C2×#89490C2semidirect
27. #90208C22semidirect
42. C7×#485C22semidirect
59. #89817C22semidirect
67. #89662C22semidirect
68. #89650C22semidirect
69. #89642C22semidirect
70. #89630C22semidirect
71. #89572C22semidirect
72. #89572C22semidirect
73. #89566C22semidirect
74. #89563C22semidirect
76. #89490C22semidirect
185. C2×#485D7semidirect
308. #485C2×D7semidirect
606. C2×C7#3233semidirect
667. C7C2×#3233semidirect
697. C2#11738946direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#903152
C2×#902082
C2×C7×#4852
C2×#898172
C2×#897752
#117389462
C2×#896622
C2×#896502
C2×#896422
C2×#896302
C2×#895722
C2×#895662
C2×#895632
C2×#895092
C2×#894902
C2×#32337