Finite Group Databasebeta

← C2×#11735795 #13522767

Subgroups — C2×#11735795 #13522767

Order 1792.

2398 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C7×#400C211yesmaximal, characteristic, complemented
2C2×#89761C211yesmaximal, characteristic
3C2×#89761C211yesmaximal, characteristic
4C2×#89754C211yesmaximal, characteristic, complemented
5C2×#89750C211yesmaximal, characteristic, complemented
6#11735795C2116yesmaximal, direct product factor
7C2×#89436C211yesmaximal, characteristic
8C2×#89436C211yesmaximal, characteristic
9C2×#89439C211yesmaximal, characteristic
10C2×D7×#95C211yesmaximal, characteristic
11C2×C7⋊#401C211yesmaximal, characteristic, complemented
12C2×#89430C211yesmaximal, characteristic, complemented
13C2×#89424C211yesmaximal, characteristic, complemented
14C2×#89424C211yesmaximal, characteristic, complemented
15C2×#89423C211yesmaximal, characteristic, complemented
16C2×#89438C211yesmaximal, characteristic
17C23×C4×D7C2211yescharacteristic
18C23×C4×D7C2211yescharacteristic
19C23×C4×D7C2211yescharacteristic
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×Dic7⋊C4C2211yescharacteristic
27C22×Dic7⋊C4C2211yescharacteristic
28C22×Dic7⋊C4C2211yescharacteristic
29C22×Dic7⋊C4C2211yescharacteristic
30C22×C4×Dic7C2211yescharacteristic
31C22×C4×Dic7C2211yescharacteristic
32C7×#400C2218yescomplemented
33C2×C7×#95C2211yescharacteristic
34C2×C7×#95C2211yescharacteristic
35C2×C7×#95C2211yescharacteristic
36C2×C7×#95C2211yescharacteristic
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#89761C2218yes—
54#89761C2218yes—
55#89754C2218yescomplemented
56#89750C2218yescomplemented
57#89439C2218yes—
58#89438C2218yes—
59#89436C2218yes—
60#89436C2218yes—
61D7×#95C2218yes—
62C7⋊#401C2218yescomplemented
63#89430C2218yescomplemented
64#89424C2218yescomplemented
65#89424C2218yescomplemented
66#89423C2218yescomplemented
67C2×#2493—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×C4×D7—24no—
84C22×C4×D7—24no—
85C22×C4×D7—24no—
86C22×C4×D7—24no—
87C22×C4×D7—24no—
88C22×C4×D7—24no—
89C22×C4×D7—24no—
90C22×C4×D7—42no—
91C22×C4×D7—42no—
92C22×C4×D7C2314yes—
93C22×C4×D7C2314yes—
94C22×C4×D7C2314yes—
95C2×C7×C4⋊C4—42no—
96C2×C7×C4⋊C4—42no—
97C2×C7×C4⋊C4C2314yes—
98C2×C7×C4⋊C4C2314yes—
99C2×(C2×D7)⋊C4—24no—
100C2×(C2×D7)⋊C4—24no—
101C2×(C2×D7)⋊C4—24no—
102C2×(C2×D7)⋊C4—24no—
103C2×(C2×D7)⋊C4C2314yes—
104C2×(C2×D7)⋊C4C2314yes—
105C2×(C2×D7)⋊C4C2314yes—
106C2×(C2×D7)⋊C4C2314yes—
107C2×Dic7⋊C4—24no—
108C2×Dic7⋊C4—24no—
109C2×Dic7⋊C4—24no—
110C2×Dic7⋊C4—42no—
111C2×Dic7⋊C4C2314yes—
112C2×Dic7⋊C4C2314yes—
113C2×Dic7⋊C4C2314yes—
114C2×Dic7⋊C4C2314yes—
115C2×C4×Dic7—24no—
116C2×C4×Dic7—42no—
117C2×C4×Dic7C2314yes—
118C2×C4×Dic7C2314yes—
119C7×#95C2314yes—
120C7×#95C2314yes—
121C7×#95C2314yes—
122C7×#95C2314yes—
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#2493—716no—
140C2×#401—71no—
141C2×#400—71no—
142C2×#400—71no—
143C2×#400D711yescharacteristic, complemented
144C2×#387—71no—
145C2×#387—71no—
146C2×#387—71no—
147C2×#385—71no—
148C2×#385—71no—
149C2×#383—71no—
150C2×#381—71no—
151C2×#381—71no—
152C2×#380—71no—
153C2×C4×C22⋊C4—71no—
154C22×#95—71no—
155C24×C7C2411yescharacteristic
156C23×D7—22no—
157C23×D7—22no—
158C23×D7—22no—
159C23×D7—22no—
160C23×D7#4114yes—
161C23×D7#4114yes—
162C23×D7#4114yes—
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—22no—
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#4114yes—
212C22×Dic7#4114yes—
213C22×Dic7C2412yes—
214C22×Dic7C2412yes—
215C22×Dic7C2412yes—
216C22×Dic7C2412yes—
217C22×Dic7C2412yes—
218C22×Dic7C2412yes—
219C22×Dic7C2412yes—
220C2×C4×D7—28no—
221C2×C4×D7—28no—
222C2×C4×D7—28no—
223C2×C4×D7—28no—
224C2×C4×D7—28no—
225C2×C4×D7—28no—
226C2×C4×D7—28no—
227C2×C4×D7—44no—
228C2×C4×D7—44no—
229C2×C4×D7—416no—
230C2×C4×D7—416no—
231C2×C4×D7—416no—
232C7×C4⋊C4—44no—
233C7×C4⋊C4—44no—
234(C2×D7)⋊C4—28no—
235(C2×D7)⋊C4—28no—
236(C2×D7)⋊C4—28no—
237(C2×D7)⋊C4—28no—
238Dic7⋊C4—28no—
239Dic7⋊C4—28no—
240Dic7⋊C4—28no—
241Dic7⋊C4—44no—
242C4×Dic7—28no—
243C4×Dic7—44no—
244C24×C4—71no—
245C24×C4—71no—
246C24×C4—71no—
247C22×C4⋊C4—71no—
248C22×C4⋊C4—71no—
249C22×C4⋊C4—71no—
250C22×C4⋊C4—71no—
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×C42—71no—
258C22×C42—71no—
259#401—78no—
260#400—78no—
261#400—78no—
262#400C2×D718yescomplemented
263#387—78no—
264#387—78no—
265#387—78no—
266#385—78no—
267#385—78no—
268#383—78no—
269#381—78no—
270#381—78no—
271#380—78no—
272C4×C22⋊C4—78no—
273C2×#95—71no—
274C2×#95—71no—
275C2×#95—71no—
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—78no—
289C2×#95C2×D711yescharacteristic
290C2×#95C2×D711yescharacteristic
291C2×#95C2×D711yescharacteristic
292C2×#95C2×D711yescharacteristic
293C2×#95C2×D711yescharacteristic
294C23×C7C2×#4112yes—
295C23×C7C2×#4112yes—
296C23×C7C2×#4112yes—
297C23×C7C2×#4112yes—
298C23×C7C2×#4112yes—
299C23×C7H(5,𝔽2)12yes—
300C23×C72−1+412yes—
301C23×C7C2511yescharacteristic
302C22×D7—28no—
303C22×D7—28no—
304C22×D7—28no—
305C22×D7—28no—
306C22×D7—28no—
307C22×D7—28no—
308C22×D7—22no—
309C22×D7—22no—
310C22×D7—22no—
311C22×D7—22no—
312C22×D7#126116yes—
313C22×D7C2×#4114yes—
314C22×D7C2×#4114yes—
315C22×D7C2×#4114yes—
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—22no—
336C2×C4×C7—22no—
337C2×C4×C7—44no—
338C2×C4×C7—44no—
339C2×C4×C7—44no—
340C2×C4×C7—44no—
341C2×C4×C7—44no—
342C2×C4×C7—44no—
343C2×C4×C7—44no—
344C2×Dic7—28no—
345C2×Dic7—28no—
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—22no—
364C2×Dic7—22no—
365C2×Dic7—44no—
366C2×Dic7—44no—
367C2×Dic7—44no—
368C2×Dic7—44no—
369C2×Dic7—44no—
370C2×Dic7C2×#4114yes—
371C2×Dic7C2×#4114yes—
372C4×D7—416no—
373C4×D7—416no—
374C4×D7—416no—
375C25—71no—
376C23×C4—71no—
377C23×C4—71no—
378C23×C4—71no—
379C23×C4—71no—
380C23×C4—71no—
381C23×C4—71no—
382C23×C4—71no—
383C23×C4—74no—
384C23×C4—74no—
385C23×C4—74no—
386C23×C4—144no—
387C23×C4—144no—
388C23×C4—144no—
389C23×C4—144no—
390C23×C4—144no—
391C23×C4—144no—
392C23×C4—144no—
393C23×C4—282no—
394C23×C4—282no—
395C23×C4C22×D711yescharacteristic
396C23×C4C22×D711yescharacteristic
397C23×C4C22×D711yescharacteristic
398C23×C4C22×D711yescharacteristic
399C23×C4C22×D711yescharacteristic
400C23×C4C22×D711yescharacteristic
401C23×C4C22×D711yescharacteristic
402C2×C4⋊C4—42no—
403C2×C4⋊C4—42no—
404C2×C4⋊C4—74no—
405C2×C4⋊C4—74no—
406C2×C4⋊C4—74no—
407C2×C4⋊C4—74no—
408C2×C4⋊C4—144no—
409C2×C4⋊C4—144no—
410C2×C4⋊C4—144no—
411C2×C4⋊C4—282no—
412C2×C4⋊C4C22×D714yes—
413C2×C4⋊C4C22×D714yes—
414C2×C22⋊C4—74no—
415C2×C22⋊C4—74no—
416C2×C22⋊C4—74no—
417C2×C22⋊C4—74no—
418C2×C22⋊C4—144no—
419C2×C22⋊C4—144no—
420C2×C22⋊C4—144no—
421C2×C22⋊C4—144no—
422C2×C42—74no—
423C2×C42—74no—
424C2×C42—144no—
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#95—74no—
440#95—74no—
441#95C22×D714yes—
442#95C22×D714yes—
443#95C22×D714yes—
444#95C22×D714yes—
445#95C22×D714yes—
446C22×C7C2×#12614yes—
447C22×C7#52914yes—
448C22×C7#53914yes—
449C22×C7#55114yes—
450C22×C7#55114yes—
451C22×C7#55214yes—
452C22×C7#55214yes—
453C22×C7C22×#4111yescharacteristic
454C22×C7C22×#4111yescharacteristic
455C22×C7C22×#4111yescharacteristic
456C22×C7C22×#4111yescharacteristic
457C22×C7C22×#4111yescharacteristic
458C22×C7C2×H(5,𝔽2)11yescharacteristic
459C22×C7C2×2−1+411yescharacteristic
460C2×D7—24no—
461C2×D7—24no—
462C2×D7—24no—
463C2×D7—24no—
464C2×D7—24no—
465C2×D7—24no—
466C2×D7—232no—
467C2×D7C2×#12618yes—
468C4×C7—42no—
469C4×C7—42no—
470C4×C7—42no—
471C4×C7—42no—
472C4×C7—42no—
473C4×C7—42no—
474C4×C7—42no—
475Dic7—24no—
476Dic7—24no—
477Dic7—42no—
478Dic7—42no—
479Dic7—42no—
480Dic7—42no—
481Dic7—42no—
482C24—74no—
483C24—74no—
484C24—74no—
485C24—72no—
486C24—142no—
487C24—142no—
488C24—142no—
489C24—142no—
490C24C23×D711yescharacteristic
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—22no—
512C22×C4—74no—
513C22×C4—74no—
514C22×C4—72no—
515C22×C4—72no—
516C22×C4—72no—
517C22×C4—72no—
518C22×C4—72no—
519C22×C4—72no—
520C22×C4—72no—
521C22×C4—148no—
522C22×C4—148no—
523C22×C4—148no—
524C22×C4—148no—
525C22×C4—148no—
526C22×C4—148no—
527C22×C4—148no—
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—142no—
540C22×C4—142no—
541C22×C4—142no—
542C22×C4—142no—
543C22×C4—142no—
544C22×C4—142no—
545C22×C4—142no—
546C22×C4—142no—
547C22×C4—284no—
548C22×C4—284no—
549C22×C4—2816no—
550C22×C4—2816no—
551C22×C4—2816no—
552C22×C4C23×D712yes—
553C22×C4C23×D712yes—
554C22×C4C23×D712yes—
555C22×C4C23×D712yes—
556C22×C4C23×D712yes—
557C22×C4C23×D712yes—
558C22×C4C23×D712yes—
559C4⋊C4—44no—
560C4⋊C4—44no—
561C4⋊C4—148no—
562C4⋊C4—148no—
563C4⋊C4—148no—
564C4⋊C4—284no—
565C22⋊C4—148no—
566C22⋊C4—148no—
567C22⋊C4—148no—
568C22⋊C4—148no—
569C42—148no—
570C42—284no—
571C2×C7#249318yescomplemented
572C2×C7C22×#12611yescharacteristic
573C2×C7C2×#52911yescharacteristic
574C2×C7C2×#53911yescharacteristic
575C2×C7C2×#55111yescharacteristic
576C2×C7C2×#55111yescharacteristic
577C2×C7C2×#55211yescharacteristic
578C2×C7C2×#55211yescharacteristic
579D7—28no—
580C23—716no—
581C23—74no—
582C23—74no—
583C23—74no—
584C23—148no—
585C23—148no—
586C23—148no—
587C23—148no—
588C23—148no—
589C23—148no—
590C23—142no—
591C23—142no—
592C23—142no—
593C23—142no—
594C23#654812yes—
595C23#655112yes—
596C23D7×#4112yes—
597C23D7×#4112yes—
598C23D7×#4112yes—
599C23D7×#4112yes—
600C23D7×#4112yes—
601C23C24×D711yescharacteristic
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—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—44no—
624C2×C4—44no—
625C2×C4—44no—
626C2×C4—44no—
627C2×C4—44no—
628C2×C4—44no—
629C2×C4—44no—
630C2×C4—74no—
631C2×C4—74no—
632C2×C4—148no—
633C2×C4—148no—
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—142no—
646C2×C4—142no—
647C2×C4—142no—
648C2×C4—142no—
649C2×C4—142no—
650C2×C4—142no—
651C2×C4—142no—
652C2×C4—142no—
653C2×C4—2816no—
654C2×C4—2816no—
655C2×C4—2816no—
656C2×C4—284no—
657C2×C4—284no—
658C2×C4—284no—
659C2×C4—284no—
660C2×C4—284no—
661C7C2×#249311yescharacteristic, complemented, Sylow
662C22—78no—
663C22—144no—
664C22—144no—
665C22—144no—
666C22—144no—
667C22—144no—
668C22—144no—
669C22—1432no—
670C22#9032914yes—
671C22#9035014yes—
672C22#9037014yes—
673C22#9038414yes—
674C22#9038414yes—
675C22D7×#12614yes—
676C22#9039714yes—
677C22C2×#654811yescharacteristic
678C22C2×#655111yescharacteristic
679C22C2×D7×#4111yescharacteristic
680C22C2×D7×#4111yescharacteristic
681C22C2×D7×#4111yescharacteristic
682C22C2×D7×#4111yescharacteristic
683C22C2×D7×#4111yescharacteristic
684C4—42no—
685C4—42no—
686C4—42no—
687C4—42no—
688C4—42no—
689C4—42no—
690C4—42no—
691C4—144no—
692C4—144no—
693C4—282no—
694C4—282no—
695C4—282no—
696C4—282no—
697C4—282no—
698C2—148no—
699C2#1173579518yesdirect product factor
700C2C2×#9032911yescharacteristic
701C2C2×#9035011yescharacteristic
702C2C2×#9037011yescharacteristic
703C2C2×#9038411yescharacteristic
704C2C2×#9038411yescharacteristic
705C2C2×#9039711yescharacteristic
706C2C2×D7×#12611yescharacteristic
subgroupG/H
centerC24C23×D7
commutator, cosocleC23×C7C25
FrattiniC23C24×D7
FittingC2×C7×#400C2
socleC24×C7C24
prime radicalC24×D7C23
hypercenterC2×#400D7
hypocenterC7C2×#2493
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C24 ◁ C2×#400

Complements

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

NH ≅ G/Ntype
1. C2×C7×#400C2semidirect
4. C2×#89754C2semidirect
5. C2×#89750C2semidirect
6. #11735795C2direct (N × H)
11. C2×C7⋊#401C2semidirect
12. C2×#89430C2semidirect
13. C2×#89424C2semidirect
14. C2×#89424C2semidirect
15. C2×#89423C2semidirect
32. C7×#400C22semidirect
55. #89754C22semidirect
56. #89750C22semidirect
62. C7⋊#401C22semidirect
63. #89430C22semidirect
64. #89424C22semidirect
65. #89424C22semidirect
66. #89423C22semidirect
143. C2×#400D7semidirect
262. #400C2×D7semidirect
571. C2×C7#2493semidirect
661. C7C2×#2493semidirect
699. C2#11735795direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C7×#4002
C2×#897612
C2×#897542
C2×#897502
#117357952
C2×#894362
C2×#894392
C2×D7×#952
C2×C7⋊#4012
C2×#894302
C2×#894242
C2×#894232
C2×#894382
C2×#24937