Finite Group Databasebeta

← C2×#11735373 #13560153

Subgroups — C2×#11735373 #13560153

Order 1792.

1914 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C7×#398C211yesmaximal, characteristic, complemented
2C2×#89765C211yesmaximal, characteristic
3C2×#89765C211yesmaximal, characteristic
4C2×#89766C211yesmaximal, characteristic
5C2×#89766C211yesmaximal, characteristic
6C2×#89758C211yesmaximal, characteristic, complemented
7C2×#89758C211yesmaximal, characteristic, complemented
8C2×#89756C211yesmaximal, characteristic, complemented
9C2×#89746C211yesmaximal, characteristic, complemented
10#11735373C2116yesmaximal, direct product factor
11C2×#89445C211yesmaximal, characteristic
12C2×#89432C211yesmaximal, characteristic, complemented
13C2×#89446C211yesmaximal, characteristic
14C2×#89428C211yesmaximal, characteristic, complemented
15C2×#89441C211yesmaximal, characteristic
16C2×#89424C211yesmaximal, characteristic, complemented
17C23×Dic14C2211yescharacteristic
18C22×C7×C4⋊C4C2211yescharacteristic
19C22×C7×C4⋊C4C2211yescharacteristic
20C22×C7×C4⋊C4C2211yescharacteristic
21C22×C7×C4⋊C4C2211yescharacteristic
22C22×(C2×D7)⋊C4C2211yescharacteristic
23C22×(C2×D7)⋊C4C2211yescharacteristic
24C22×(C2×D7)⋊C4C2211yescharacteristic
25C22×(C2×D7)⋊C4C2211yescharacteristic
26C22×(C2×D7)⋊C4C2211yescharacteristic
27C22×(C2×D7)⋊C4C2211yescharacteristic
28C22×(C2×D7)⋊C4C2211yescharacteristic
29C22×C4⋊Dic7C2211yescharacteristic
30C22×C4⋊Dic7C2211yescharacteristic
31C22×C4⋊Dic7C2211yescharacteristic
32C22×Dic7⋊C4C2211yescharacteristic
33C22×Dic7⋊C4C2211yescharacteristic
34C22×Dic7⋊C4C2211yescharacteristic
35C22×C4×Dic7C2211yescharacteristic
36C7×#398C2218yescomplemented
37C2×C7×#95C2211yescharacteristic
38C2×C7×#95C2211yescharacteristic
39C2×C7×#95C2211yescharacteristic
40C2×C7⋊#95C2211yescharacteristic
41C2×C7⋊#95C2211yescharacteristic
42C2×C7⋊#95C2211yescharacteristic
43C2×C7⋊#95C2211yescharacteristic
44C2×C7⋊#95C2211yescharacteristic
45C2×C7⋊#95C2211yescharacteristic
46C2×C7⋊#95C2211yescharacteristic
47C2×C7⋊#95C2211yescharacteristic
48C2×C7⋊#95C2211yescharacteristic
49C2×C7⋊#95C2211yescharacteristic
50C2×C7⋊#95C2211yescharacteristic
51C2×C7⋊#95C2211yescharacteristic
52C2×C7⋊#95C2211yescharacteristic
53#89766C2218yes—
54#89766C2218yes—
55#89765C2218yes—
56#89765C2218yes—
57#89758C2218yescomplemented
58#89758C2218yescomplemented
59#89756C2218yescomplemented
60#89746C2218yescomplemented
61#89446C2218yes—
62#89445C2218yes—
63#89441C2218yes—
64#89432C2218yescomplemented
65#89428C2218yescomplemented
66#89424C2218yescomplemented
67C2×#2831—71nomaximal, Sylow
68C24×D7C2311yescharacteristic
69C23×C4×C7C2311yescharacteristic
70C23×C4×C7C2311yescharacteristic
71C23×C4×C7C2311yescharacteristic
72C23×C4×C7C2311yescharacteristic
73C23×C4×C7C2311yescharacteristic
74C23×C4×C7C2311yescharacteristic
75C23×C4×C7C2311yescharacteristic
76C23×Dic7C2311yescharacteristic
77C23×Dic7C2311yescharacteristic
78C23×Dic7C2311yescharacteristic
79C23×Dic7C2311yescharacteristic
80C23×Dic7C2311yescharacteristic
81C23×Dic7C2311yescharacteristic
82C23×Dic7C2311yescharacteristic
83C22×Dic14—24no—
84C22×Dic14—42no—
85C22×Dic14—42no—
86C22×Dic14C2314yes—
87C2×C7×C4⋊C4—42no—
88C2×C7×C4⋊C4—42no—
89C2×C7×C4⋊C4—42no—
90C2×C7×C4⋊C4—42no—
91C2×C7×C4⋊C4C2314yes—
92C2×C7×C4⋊C4C2314yes—
93C2×C7×C4⋊C4C2314yes—
94C2×C7×C4⋊C4C2314yes—
95C2×(C2×D7)⋊C4—24no—
96C2×(C2×D7)⋊C4—42no—
97C2×(C2×D7)⋊C4—42no—
98C2×(C2×D7)⋊C4—42no—
99C2×(C2×D7)⋊C4—42no—
100C2×(C2×D7)⋊C4—42no—
101C2×(C2×D7)⋊C4—42no—
102C2×(C2×D7)⋊C4C2314yes—
103C2×(C2×D7)⋊C4C2314yes—
104C2×(C2×D7)⋊C4C2314yes—
105C2×(C2×D7)⋊C4C2314yes—
106C2×(C2×D7)⋊C4C2314yes—
107C2×(C2×D7)⋊C4C2314yes—
108C2×(C2×D7)⋊C4C2314yes—
109C2×C4⋊Dic7—42no—
110C2×C4⋊Dic7—42no—
111C2×C4⋊Dic7—42no—
112C2×C4⋊Dic7C2314yes—
113C2×C4⋊Dic7C2314yes—
114C2×C4⋊Dic7C2314yes—
115C2×Dic7⋊C4—24no—
116C2×Dic7⋊C4—42no—
117C2×Dic7⋊C4—42no—
118C2×Dic7⋊C4C2314yes—
119C2×Dic7⋊C4C2314yes—
120C2×Dic7⋊C4C2314yes—
121C2×C4×Dic7—42no—
122C2×C4×Dic7C2314yes—
123C7×#95C2314yes—
124C7×#95C2314yes—
125C7×#95C2314yes—
126C7⋊#95C2314yes—
127C7⋊#95C2314yes—
128C7⋊#95C2314yes—
129C7⋊#95C2314yes—
130C7⋊#95C2314yes—
131C7⋊#95C2314yes—
132C7⋊#95C2314yes—
133C7⋊#95C2314yes—
134C7⋊#95C2314yes—
135C7⋊#95C2314yes—
136C7⋊#95C2314yes—
137C7⋊#95C2314yes—
138C7⋊#95C2314yes—
139#2831—716no—
140C2×#400—71no—
141C2×#400—71no—
142C2×#400—71no—
143C2×#398—71no—
144C2×#398D711yescharacteristic, complemented
145C2×#397—71no—
146C2×#397—71no—
147C2×#397—71no—
148C2×#396—71no—
149C2×#396—71no—
150C2×#395—71no—
151C2×#393—71no—
152C2×#391—71no—
153C2×#388—71no—
154C2×#387—71no—
155C24×C7C2411yescharacteristic
156C23×D7—22no—
157C23×D7—22no—
158C23×D7—22no—
159C23×D7—22no—
160C23×D7—22no—
161C23×D7—22no—
162C23×D7—22no—
163C23×D7C2412yes—
164C22×C4×C7—22no—
165C22×C4×C7—22no—
166C22×C4×C7—22no—
167C22×C4×C7—22no—
168C22×C4×C7—22no—
169C22×C4×C7—22no—
170C22×C4×C7—22no—
171C22×C4×C7—22no—
172C22×C4×C7—22no—
173C22×C4×C7—22no—
174C22×C4×C7—22no—
175C22×C4×C7—22no—
176C22×C4×C7—22no—
177C22×C4×C7—22no—
178C22×C4×C7—22no—
179C22×C4×C7—22no—
180C22×C4×C7—22no—
181C22×C4×C7—22no—
182C22×C4×C7—22no—
183C22×C4×C7—22no—
184C22×C4×C7#4114yes—
185C22×C4×C7C2412yes—
186C22×C4×C7C2412yes—
187C22×C4×C7C2412yes—
188C22×C4×C7C2412yes—
189C22×C4×C7C2412yes—
190C22×C4×C7C2412yes—
191C22×C4×C7C2412yes—
192C22×Dic7—22no—
193C22×Dic7—22no—
194C22×Dic7—22no—
195C22×Dic7—22no—
196C22×Dic7—22no—
197C22×Dic7—22no—
198C22×Dic7—22no—
199C22×Dic7—22no—
200C22×Dic7—22no—
201C22×Dic7—22no—
202C22×Dic7—22no—
203C22×Dic7—22no—
204C22×Dic7—22no—
205C22×Dic7—22no—
206C22×Dic7—22no—
207C22×Dic7—22no—
208C22×Dic7—22no—
209C22×Dic7—22no—
210C22×Dic7—22no—
211C22×Dic7—22no—
212C22×Dic7—22no—
213C22×Dic7C2412yes—
214C22×Dic7C2412yes—
215C22×Dic7C2412yes—
216C22×Dic7C2412yes—
217C22×Dic7C2412yes—
218C22×Dic7C2412yes—
219C22×Dic7C2412yes—
220C2×Dic14—28no—
221C2×Dic14—44no—
222C2×Dic14—44no—
223C2×Dic14—416no—
224C7×C4⋊C4—44no—
225C7×C4⋊C4—44no—
226C7×C4⋊C4—44no—
227C7×C4⋊C4—44no—
228(C2×D7)⋊C4—28no—
229(C2×D7)⋊C4—44no—
230(C2×D7)⋊C4—44no—
231(C2×D7)⋊C4—44no—
232(C2×D7)⋊C4—44no—
233(C2×D7)⋊C4—44no—
234(C2×D7)⋊C4—44no—
235C4⋊Dic7—44no—
236C4⋊Dic7—44no—
237C4⋊Dic7—44no—
238Dic7⋊C4—28no—
239Dic7⋊C4—44no—
240Dic7⋊C4—44no—
241C4×Dic7—44no—
242C23×Q8—71no—
243C22×C4⋊C4—71no—
244C22×C4⋊C4—71no—
245C22×C4⋊C4—71no—
246C22×C4⋊C4—71no—
247C22×C4⋊C4—71no—
248C22×C4⋊C4—71no—
249C22×C4⋊C4C2×D711yescharacteristic
250C22×C4⋊C4C2×D711yescharacteristic
251C22×C4⋊C4C2×D711yescharacteristic
252C22×C4⋊C4C2×D711yescharacteristic
253C22×C22⋊C4—71no—
254C22×C22⋊C4—71no—
255C22×C22⋊C4—71no—
256C22×C22⋊C4—71no—
257C22×C22⋊C4—71no—
258C22×C22⋊C4—71no—
259C22×C22⋊C4—71no—
260C22×C42—71no—
261#400—78no—
262#400—78no—
263#400—78no—
264#398—78no—
265#398C2×D718yescomplemented
266#397—78no—
267#397—78no—
268#397—78no—
269#396—78no—
270#396—78no—
271#395—78no—
272#393—78no—
273#391—78no—
274#388—78no—
275#387—78no—
276C2×#95—71no—
277C2×#95—71no—
278C2×#95—71no—
279C2×#95—71no—
280C2×#95—71no—
281C2×#95—71no—
282C2×#95—71no—
283C2×#95—71no—
284C2×#95—71no—
285C2×#95—71no—
286C2×#95—71no—
287C2×#95—71no—
288C2×#95—71no—
289C2×#95C2×D711yescharacteristic
290C2×#95C2×D711yescharacteristic
291C2×#95C2×D711yescharacteristic
292C23×C7C2×#4112yes—
293C23×C7H(5,𝔽2)12yes—
294C23×C7H(5,𝔽2)12yes—
295C23×C7H(5,𝔽2)12yes—
296C23×C72−1+412yes—
297C23×C72−1+412yes—
298C23×C72−1+412yes—
299C23×C7C2511yescharacteristic
300C22×D7—22no—
301C22×D7—22no—
302C22×D7—22no—
303C22×D7—22no—
304C22×D7—22no—
305C22×D7—22no—
306C22×D7—22no—
307C22×D7—44no—
308C22×D7—44no—
309C22×D7—44no—
310C22×D7—44no—
311C22×D7—44no—
312C22×D7—44no—
313C22×D7—44no—
314C2×C4×C7—28no—
315C2×C4×C7—22no—
316C2×C4×C7—22no—
317C2×C4×C7—22no—
318C2×C4×C7—22no—
319C2×C4×C7—22no—
320C2×C4×C7—22no—
321C2×C4×C7—22no—
322C2×C4×C7—22no—
323C2×C4×C7—22no—
324C2×C4×C7—22no—
325C2×C4×C7—22no—
326C2×C4×C7—22no—
327C2×C4×C7—22no—
328C2×C4×C7—22no—
329C2×C4×C7—22no—
330C2×C4×C7—22no—
331C2×C4×C7—22no—
332C2×C4×C7—22no—
333C2×C4×C7—22no—
334C2×C4×C7—22no—
335C2×C4×C7—44no—
336C2×C4×C7—44no—
337C2×C4×C7—44no—
338C2×C4×C7—44no—
339C2×C4×C7—44no—
340C2×C4×C7—44no—
341C2×C4×C7C2×#4114yes—
342C2×Dic7—22no—
343C2×Dic7—22no—
344C2×Dic7—22no—
345C2×Dic7—22no—
346C2×Dic7—22no—
347C2×Dic7—22no—
348C2×Dic7—22no—
349C2×Dic7—22no—
350C2×Dic7—22no—
351C2×Dic7—22no—
352C2×Dic7—22no—
353C2×Dic7—22no—
354C2×Dic7—22no—
355C2×Dic7—22no—
356C2×Dic7—22no—
357C2×Dic7—22no—
358C2×Dic7—22no—
359C2×Dic7—22no—
360C2×Dic7—22no—
361C2×Dic7—22no—
362C2×Dic7—22no—
363C2×Dic7—44no—
364C2×Dic7—44no—
365C2×Dic7—44no—
366C2×Dic7—44no—
367C2×Dic7—44no—
368C2×Dic7—44no—
369C2×Dic7—44no—
370Dic14—416no—
371C25—71no—
372C22×Q8—74no—
373C22×Q8—144no—
374C22×Q8—282no—
375C22×Q8—282no—
376C23×C4—71no—
377C23×C4—71no—
378C23×C4—71no—
379C23×C4—71no—
380C23×C4—71no—
381C23×C4—71no—
382C23×C4—71no—
383C23×C4C22×D711yescharacteristic
384C23×C4C22×D711yescharacteristic
385C23×C4C22×D711yescharacteristic
386C23×C4C22×D711yescharacteristic
387C23×C4C22×D711yescharacteristic
388C23×C4C22×D711yescharacteristic
389C23×C4C22×D711yescharacteristic
390C2×C4⋊C4—42no—
391C2×C4⋊C4—42no—
392C2×C4⋊C4—42no—
393C2×C4⋊C4—42no—
394C2×C4⋊C4—74no—
395C2×C4⋊C4—74no—
396C2×C4⋊C4—74no—
397C2×C4⋊C4—74no—
398C2×C4⋊C4—74no—
399C2×C4⋊C4—74no—
400C2×C4⋊C4—144no—
401C2×C4⋊C4—282no—
402C2×C4⋊C4—282no—
403C2×C4⋊C4—282no—
404C2×C4⋊C4—282no—
405C2×C4⋊C4—282no—
406C2×C4⋊C4C22×D714yes—
407C2×C4⋊C4C22×D714yes—
408C2×C4⋊C4C22×D714yes—
409C2×C4⋊C4C22×D714yes—
410C2×C22⋊C4—74no—
411C2×C22⋊C4—74no—
412C2×C22⋊C4—74no—
413C2×C22⋊C4—74no—
414C2×C22⋊C4—74no—
415C2×C22⋊C4—74no—
416C2×C22⋊C4—74no—
417C2×C22⋊C4—144no—
418C2×C22⋊C4—282no—
419C2×C22⋊C4—282no—
420C2×C22⋊C4—282no—
421C2×C22⋊C4—282no—
422C2×C22⋊C4—282no—
423C2×C22⋊C4—282no—
424C2×C42—74no—
425C2×C42—282no—
426#95—74no—
427#95—74no—
428#95—74no—
429#95—74no—
430#95—74no—
431#95—74no—
432#95—74no—
433#95—74no—
434#95—74no—
435#95—74no—
436#95—74no—
437#95—74no—
438#95—74no—
439#95C22×D714yes—
440#95C22×D714yes—
441#95C22×D714yes—
442C22×C7#53814yes—
443C22×C7#54114yes—
444C22×C7#54214yes—
445C22×C7#56214yes—
446C22×C7#56214yes—
447C22×C7#56314yes—
448C22×C7#56314yes—
449C22×C7C22×#4111yescharacteristic
450C22×C7C2×H(5,𝔽2)11yescharacteristic
451C22×C7C2×H(5,𝔽2)11yescharacteristic
452C22×C7C2×H(5,𝔽2)11yescharacteristic
453C22×C7C2×2−1+411yescharacteristic
454C22×C7C2×2−1+411yescharacteristic
455C22×C7C2×2−1+411yescharacteristic
456C2×D7—42no—
457C2×D7—42no—
458C2×D7—42no—
459C2×D7—42no—
460C2×D7—42no—
461C2×D7—42no—
462C2×D7—42no—
463C2×D7—88no—
464C4×C7—24no—
465C4×C7—42no—
466C4×C7—42no—
467C4×C7—42no—
468C4×C7—42no—
469C4×C7—42no—
470C4×C7—42no—
471Dic7—42no—
472Dic7—42no—
473Dic7—42no—
474Dic7—42no—
475Dic7—42no—
476Dic7—42no—
477Dic7—42no—
478C24—72no—
479C24—142no—
480C24—142no—
481C24—142no—
482C24—142no—
483C24—142no—
484C24—142no—
485C24—142no—
486C24C23×D711yescharacteristic
487C2×Q8—148no—
488C2×Q8—284no—
489C2×Q8—284no—
490C2×Q8—2816no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—72no—
512C22×C4—72no—
513C22×C4—72no—
514C22×C4—72no—
515C22×C4—72no—
516C22×C4—72no—
517C22×C4—72no—
518C22×C4—142no—
519C22×C4—142no—
520C22×C4—142no—
521C22×C4—142no—
522C22×C4—142no—
523C22×C4—142no—
524C22×C4—142no—
525C22×C4—142no—
526C22×C4—142no—
527C22×C4—142no—
528C22×C4—142no—
529C22×C4—142no—
530C22×C4—142no—
531C22×C4—142no—
532C22×C4—142no—
533C22×C4—142no—
534C22×C4—142no—
535C22×C4—142no—
536C22×C4—142no—
537C22×C4—142no—
538C22×C4—142no—
539C22×C4#116114yes—
540C22×C4C23×D712yes—
541C22×C4C23×D712yes—
542C22×C4C23×D712yes—
543C22×C4C23×D712yes—
544C22×C4C23×D712yes—
545C22×C4C23×D712yes—
546C22×C4C23×D712yes—
547C4⋊C4—44no—
548C4⋊C4—44no—
549C4⋊C4—44no—
550C4⋊C4—44no—
551C4⋊C4—148no—
552C4⋊C4—284no—
553C4⋊C4—284no—
554C4⋊C4—284no—
555C4⋊C4—284no—
556C4⋊C4—284no—
557C22⋊C4—148no—
558C22⋊C4—284no—
559C22⋊C4—284no—
560C22⋊C4—284no—
561C22⋊C4—284no—
562C22⋊C4—284no—
563C22⋊C4—284no—
564C42—284no—
565C2×C7#283118yescomplemented
566C2×C7C2×#53811yescharacteristic
567C2×C7C2×#54111yescharacteristic
568C2×C7C2×#54211yescharacteristic
569C2×C7C2×#56211yescharacteristic
570C2×C7C2×#56211yescharacteristic
571C2×C7C2×#56311yescharacteristic
572C2×C7C2×#56311yescharacteristic
573D7—82no—
574C23—142no—
575C23—142no—
576C23—142no—
577C23—142no—
578C23—142no—
579C23—142no—
580C23—142no—
581C23—284no—
582C23—284no—
583C23—284no—
584C23—284no—
585C23—284no—
586C23—284no—
587C23—284no—
588C23#654812yes—
589C23#654812yes—
590C23C2×#116112yes—
591C23#655112yes—
592C23#655312yes—
593C23#655412yes—
594C23#655412yes—
595C23C24×D711yescharacteristic
596Q8—2816no—
597C2×C4—28no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—44no—
619C2×C4—44no—
620C2×C4—44no—
621C2×C4—44no—
622C2×C4—44no—
623C2×C4—44no—
624C2×C4—142no—
625C2×C4—142no—
626C2×C4—142no—
627C2×C4—142no—
628C2×C4—142no—
629C2×C4—142no—
630C2×C4—142no—
631C2×C4—142no—
632C2×C4—142no—
633C2×C4—142no—
634C2×C4—142no—
635C2×C4—142no—
636C2×C4—142no—
637C2×C4—142no—
638C2×C4—142no—
639C2×C4—142no—
640C2×C4—142no—
641C2×C4—142no—
642C2×C4—142no—
643C2×C4—142no—
644C2×C4—142no—
645C2×C4—284no—
646C2×C4—284no—
647C2×C4—284no—
648C2×C4—284no—
649C2×C4—284no—
650C2×C4—284no—
651C2×C4—284no—
652C2×C4C2×#116114yes—
653C7C2×#283111yescharacteristic, complemented, Sylow
654C22—282no—
655C22—282no—
656C22—282no—
657C22—282no—
658C22—282no—
659C22—282no—
660C22—282no—
661C22—568no—
662C22#9031214yes—
663C22#9033514yes—
664C22#9033714yes—
665C22#9035814yes—
666C22#9038814yes—
667C22#9039014yes—
668C22#9042414yes—
669C22C2×#654811yescharacteristic
670C22C2×#654811yescharacteristic
671C22C22×#116111yescharacteristic
672C22C2×#655111yescharacteristic
673C22C2×#655311yescharacteristic
674C22C2×#655411yescharacteristic
675C22C2×#655411yescharacteristic
676C4—24no—
677C4—42no—
678C4—42no—
679C4—42no—
680C4—42no—
681C4—42no—
682C4—42no—
683C4—282no—
684C4—282no—
685C4—282no—
686C4—282no—
687C4—282no—
688C4—282no—
689C4—282no—
690C2—562no—
691C2#1173537318yesdirect product factor
692C2C2×#9031211yescharacteristic
693C2C2×#9033711yescharacteristic
694C2C2×#9033511yescharacteristic
695C2C2×#9035811yescharacteristic
696C2C2×#9038811yescharacteristic
697C2C2×#9039011yescharacteristic
698C2C2×#9042411yescharacteristic
subgroupG/H
centerC24C23×D7
commutator, cosocleC23×C7C25
FrattiniC23C24×D7
FittingC2×C7×#398C2
socleC24×C7C24
prime radicalC24×D7C23
hypercenterC2×#398D7
hypocenterC7C2×#2831
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C24 ◁ C2×#398

Complements

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

NH ≅ G/Ntype
1. C2×C7×#398C2semidirect
6. C2×#89758C2semidirect
7. C2×#89758C2semidirect
8. C2×#89756C2semidirect
9. C2×#89746C2semidirect
10. #11735373C2direct (N × H)
12. C2×#89432C2semidirect
14. C2×#89428C2semidirect
16. C2×#89424C2semidirect
36. C7×#398C22semidirect
57. #89758C22semidirect
58. #89758C22semidirect
59. #89756C22semidirect
60. #89746C22semidirect
64. #89432C22semidirect
65. #89428C22semidirect
66. #89424C22semidirect
144. C2×#398D7semidirect
265. #398C2×D7semidirect
565. C2×C7#2831semidirect
653. C7C2×#2831semidirect
691. C2#11735373direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C7×#3982
C2×#897652
C2×#897662
C2×#897582
C2×#897562
C2×#897462
#117353732
C2×#894452
C2×#894322
C2×#894462
C2×#894282
C2×#894412
C2×#894242
C2×#28317