Finite Group Databasebeta

← C2×#11739410 #14234282

Subgroups — C2×#11739410 #14234282

Order 1792.

1854 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90413C211yesmaximal, characteristic, complemented
2C2×#90381C211yesmaximal, characteristic
3C2×C7×#501C211yesmaximal, characteristic, complemented
4C2×#89859C211yesmaximal, characteristic
5C2×#89835C211yesmaximal, characteristic, complemented
6#11739410C2116yesmaximal, direct product factor
7C2×#89647C211yesmaximal, characteristic, complemented
8C2×#89662C211yesmaximal, characteristic
9C2×#89646C211yesmaximal, characteristic, complemented
10C2×#89661C211yesmaximal, characteristic
11C2×#89629C211yesmaximal, characteristic, complemented
12C2×#89642C211yesmaximal, characteristic
13C2×#89628C211yesmaximal, characteristic, complemented
14C2×#89624C211yesmaximal, characteristic
15C2×#89482C211yesmaximal, characteristic
16C2×#89473C211yesmaximal, characteristic, complemented
17C2×C7×C4⋊Q8C2211yescharacteristic
18C2×C7×#125C2211yescharacteristic
19C2×#6507—21no—
20C2×#6507—21no—
21C22×#1132C2211yescharacteristic
22#90413—24no—
23#90413C2218yescomplemented
24#90381—24no—
25#90381C2218yes—
26C2×#6460—21no—
27C2×#6459—21no—
28C2×#6459—21no—
29C2×#6456C2211yescharacteristic
30C2×#6456C2211yescharacteristic
31C2×D7×C4⋊C4—21no—
32C2×#6453C2211yescharacteristic
33C2×#6451—21no—
34C2×#6451C2211yescharacteristic
35C2×#6451C2211yescharacteristic
36C2×#6451C2211yescharacteristic
37C2×#6450—21no—
38C2×#6450C2211yescharacteristic
39C2×#6450C2211yescharacteristic
40C2×C4×D28C2211yescharacteristic
41C2×C4×Dic14C2211yescharacteristic
42C2×C4×Dic14C2211yescharacteristic
43C7×#501C2218yescomplemented
44C2×C7×#107C2211yescharacteristic
45C2×C7×#107C2211yescharacteristic
46C2×C7×#106C2211yescharacteristic
47C2×C7×#106C2211yescharacteristic
48C2×C7×#97C2211yescharacteristic
49C2×#6395C2211yescharacteristic
50C2×#6392C2211yescharacteristic
51C2×#6390C2211yescharacteristic
52C2×#6389C2211yescharacteristic
53C2×Dic7⋊C8C2211yescharacteristic
54C2×Dic7⋊C8C2211yescharacteristic
55C2×C8×Dic7C2211yescharacteristic
56#89859C2218yes—
57#89835C2218yescomplemented
58C2×#6384C2211yescharacteristic
59C2×#6384C2211yescharacteristic
60C2×#6383C2211yescharacteristic
61C2×#6383C2211yescharacteristic
62C2×#6382C2211yescharacteristic
63C2×#6381C2211yescharacteristic
64C2×#6381C2211yescharacteristic
65C2×#6381C2211yescharacteristic
66C2×C4⋊(C7⋊C8)C2211yescharacteristic
67#89662C2218yes—
68#89661C2218yes—
69#89647C2218yescomplemented
70#89646C2218yescomplemented
71#89642C2218yes—
72#89629C2218yescomplemented
73#89628C2218yescomplemented
74#89624C2218yes—
75#89482C2218yes—
76#89473C2218yescomplemented
77C2×#3385—71nomaximal, Sylow
78C22×C7×Q8—21no—
79C22×D28C2311yescharacteristic
80C22×C4×D7—21no—
81C22×C4×D7—21no—
82C22×C4×D7—21no—
83C22×Dic14—21no—
84C22×Dic14—21no—
85C22×Dic14—21no—
86C22×Dic14D411yescharacteristic
87C22×Dic14C2311yescharacteristic
88C22×C7×C8C2311yescharacteristic
89C22×C7×C8C2311yescharacteristic
90C7×C4⋊Q8—22no—
91C7×C4⋊Q8C2314yes—
92C7×#125—22no—
93C7×#125C2314yes—
94C2×C7×C4⋊C4—21no—
95C2×C7×C4⋊C4—21no—
96C2×C7×C4⋊C4—21no—
97C2×C7×C4⋊C4C2311yescharacteristic
98C2×C7×C4⋊C4C2311yescharacteristic
99C2×C7×C4⋊C4C2311yescharacteristic
100C2×C7×C4⋊C4C2311yescharacteristic
101C2×C42×C7C2311yescharacteristic
102#6507—28no—
103#6507—28no—
104C2×(C2×D7)⋊C4—21no—
105C2×(C2×D7)⋊C4—21no—
106C2×(C2×D7)⋊C4—21no—
107C2×C4⋊Dic7—21no—
108C2×C4⋊Dic7D411yescharacteristic
109C2×C4⋊Dic7C2311yescharacteristic
110C2×C4⋊Dic7C2311yescharacteristic
111C2×Dic7⋊C4—21no—
112C2×Dic7⋊C4—21no—
113C2×Dic7⋊C4—21no—
114C2×Dic7⋊C4—21no—
115C2×Dic7⋊C4—21no—
116C2×Dic7⋊C4—21no—
117C2×Dic7⋊C4—21no—
118C2×Dic7⋊C4D411yescharacteristic
119C2×Dic7⋊C4D411yescharacteristic
120C2×C4×Dic7—21no—
121C2×C4×Dic7—21no—
122C2×C4×Dic7—21no—
123C2×C4×Dic7C2311yescharacteristic
124C2×C4×Dic7C2311yescharacteristic
125C22×C7⋊C8C2311yescharacteristic
126C22×C7⋊C8C2311yescharacteristic
127C2×#1132Q818yescomplemented
128C2×#1132C2314yes—
129#6460—28no—
130#6459—28no—
131#6459—28no—
132#6456—22no—
133#6456—22no—
134#6456C2314yes—
135#6456C2314yes—
136D7×C4⋊C4—28no—
137#6453—22no—
138#6453C2314yes—
139#6451—28no—
140#6451—22no—
141#6451—22no—
142#6451—22no—
143#6451C2314yes—
144#6451C2314yes—
145#6451C2314yes—
146#6450—28no—
147#6450—22no—
148#6450—22no—
149#6450C2314yes—
150#6450C2314yes—
151C4×D28—22no—
152C4×D28C2314yes—
153C4×Dic14—22no—
154C4×Dic14D414yes—
155C4×Dic14C2314yes—
156C4×Dic14C2314yes—
157C7×#107C2314yes—
158C7×#107C2314yes—
159C7×#106C2314yes—
160C7×#106C2314yes—
161C7×#97C2314yes—
162#6395C2314yes—
163#6392C2314yes—
164#6390C2314yes—
165#6389C2314yes—
166Dic7⋊C8C2314yes—
167Dic7⋊C8C2314yes—
168C8×Dic7C2314yes—
169#6384C2314yes—
170#6384C2314yes—
171#6383C2314yes—
172#6383C2314yes—
173#6382C2314yes—
174#6381C2314yes—
175#6381C2314yes—
176#6381C2314yes—
177C4⋊(C7⋊C8)C2314yes—
178C2×Q82—71no—
179C2×#554—71no—
180#3385—716no—
181C2×#501—71no—
182C2×#501D711yescharacteristic, complemented
183C2×#500—71no—
184C2×#479—71no—
185C2×#479—71no—
186C2×#477—71no—
187C2×#476—71no—
188C2×#474—71no—
189C2×#474—71no—
190C2×#446—71no—
191C2×#440—71no—
192C2×#440—71no—
193C2×C4×SD16—71no—
194C23×D7—21no—
195C2×C7×Q8—24no—
196C2×C7×Q8—82no—
197C22×C4×C7—21no—
198C22×C4×C7—21no—
199C22×C4×C7—21no—
200C22×C4×C7—21no—
201C22×C4×C7C2×D411yescharacteristic
202C22×C4×C7C2×D411yescharacteristic
203C22×C4×C7C2411yescharacteristic
204C22×Dic7—21no—
205C22×Dic7—21no—
206C22×Dic7—21no—
207C22×Dic7C2×D411yescharacteristic
208C22×Dic7C2×D411yescharacteristic
209C22×Dic7C2×D411yescharacteristic
210C22×Dic7C2×D411yescharacteristic
211C2×D28—21no—
212C2×D28—22no—
213C2×D28C2×Q814yes—
214C2×D28C2412yes—
215C2×C4×D7—24no—
216C2×C4×D7—24no—
217C2×C4×D7—24no—
218C2×C4×D7—44no—
219C2×C4×D7—82no—
220C2×C4×D7—82no—
221C2×Dic14—21no—
222C2×Dic14—22no—
223C2×Dic14—24no—
224C2×Dic14—24no—
225C2×Dic14—24no—
226C2×Dic14—24no—
227C2×Dic14—82no—
228C2×Dic14—82no—
229C2×Dic14—82no—
230C2×Dic14C2×D414yes—
231C2×Dic14C2×Q814yes—
232C2×Dic14C2412yes—
233C2×C7×C8—22no—
234C2×C7×C8C2×Q814yes—
235C2×C7×C8C2412yes—
236C2×C7×C8C2412yes—
237C7×C4⋊C4—24no—
238C7×C4⋊C4—21no—
239C7×C4⋊C4—21no—
240C7×C4⋊C4—21no—
241C7×C4⋊C4—21no—
242C7×C4⋊C4—24no—
243C7×C4⋊C4—24no—
244C7×C4⋊C4C2412yes—
245C7×C4⋊C4C2412yes—
246C7×C4⋊C4C2412yes—
247C7×C4⋊C4C2412yes—
248C42×C7C2×D412yes—
249C42×C7C2412yes—
250(C2×D7)⋊C4—24no—
251(C2×D7)⋊C4—24no—
252(C2×D7)⋊C4—24no—
253C4⋊Dic7—21no—
254C4⋊Dic7—21no—
255C4⋊Dic7—24no—
256C4⋊Dic7C2×D414yes—
257C4⋊Dic7C2412yes—
258C4⋊Dic7C2412yes—
259Dic7⋊C4—24no—
260Dic7⋊C4—24no—
261Dic7⋊C4—24no—
262Dic7⋊C4—24no—
263Dic7⋊C4—24no—
264Dic7⋊C4—24no—
265Dic7⋊C4—24no—
266Dic7⋊C4C2×D414yes—
267Dic7⋊C4C2×D414yes—
268C4×Dic7—24no—
269C4×Dic7—24no—
270C4×Dic7—24no—
271C4×Dic7C2×D412yes—
272C4×Dic7C2×D412yes—
273C4×Dic7C2412yes—
274C4×Dic7C2412yes—
275C2×C7⋊C8—22no—
276C2×C7⋊C8—22no—
277C2×C7⋊C8C2412yes—
278C2×C7⋊C8C2412yes—
279#1132C2×Q8116yescomplemented
280C22×SD16—71no—
281Q82—78no—
282Q82—144no—
283#554—78no—
284#554—144no—
285C2×C4⋊Q8—71no—
286C2×C4⋊Q8—71no—
287C2×C4⋊Q8—71no—
288C2×C4⋊Q8—141no—
289C2×C4⋊Q8—141no—
290C2×C4⋊Q8—141no—
291C2×C4⋊Q8C2×D711yescharacteristic
292C2×#125—71no—
293C2×#125C2×D711yescharacteristic
294C2×C22⋊Q8—141no—
295C2×C22⋊Q8—141no—
296C2×C22⋊Q8—141no—
297C2×C4×Q8—71no—
298C2×C4×Q8—71no—
299C2×C4×Q8—71no—
300C2×C4×Q8—71no—
301C2×C4×Q8—141no—
302C2×C4×D4—71no—
303C2×C4×D4—71no—
304C2×C4×D4—71no—
305C22×C4⋊C4—141no—
306#501—78no—
307#501C2×D718yescomplemented
308#500—78no—
309#479—78no—
310#479—78no—
311#477—78no—
312#476—78no—
313#474—78no—
314#474—78no—
315#446—78no—
316#440—78no—
317#440—78no—
318C4×SD16—78no—
319C2×#107—71no—
320C2×#107—71no—
321C2×#107—71no—
322C2×#107—71no—
323C2×#107C2×D711yescharacteristic
324C2×#107C2×D711yescharacteristic
325C2×#106—71no—
326C2×#106C2×D711yescharacteristic
327C2×#106C2×D711yescharacteristic
328C2×C4⋊C8—71no—
329C2×C4⋊C8—71no—
330C2×C4⋊C8—71no—
331C2×#103—71no—
332C2×#103—71no—
333C2×#103—71no—
334C2×#102—71no—
335C2×#102—71no—
336C2×#102—71no—
337C2×#97—71no—
338C2×#97C2×D711yescharacteristic
339C2×C4×C8—71no—
340C23×C7C22×D411yescharacteristic
341C22×D7—24no—
342C22×D7—22no—
343C22×D7—42no—
344C22×D7—42no—
345C7×Q8—84no—
346C2×C4×C7—22no—
347C2×C4×C7—22no—
348C2×C4×C7—22no—
349C2×C4×C7—22no—
350C2×C4×C7—22no—
351C2×C4×C7—22no—
352C2×C4×C7—42no—
353C2×C4×C7—42no—
354C2×C4×C7—42no—
355C2×C4×C7—42no—
356C2×C4×C7C22×D412yes—
357C2×C4×C7C22×D412yes—
358C2×C4×C7C22×D411yescharacteristic
359C2×C4×C7C22×Q812yes—
360C2×C4×C72−1+412yes—
361C2×C4×C7C2511yescharacteristic
362C2×Dic7—24no—
363C2×Dic7—22no—
364C2×Dic7—22no—
365C2×Dic7—22no—
366C2×Dic7—22no—
367C2×Dic7—22no—
368C2×Dic7—22no—
369C2×Dic7—42no—
370C2×Dic7—42no—
371C2×Dic7#13714yes—
372C2×Dic7C22×D412yes—
373C2×Dic7C22×D412yes—
374C2×Dic7C22×D412yes—
375C2×Dic7C22×D412yes—
376D28—24no—
377D28—22no—
378D28C22×Q814yes—
379C4×D7—48no—
380C4×D7—84no—
381C4×D7—84no—
382Dic14—24no—
383Dic14—22no—
384Dic14—28no—
385Dic14—84no—
386Dic14—84no—
387Dic14—84no—
388Dic14C22×Q814yes—
389C7×C8—22no—
390C7×C8C22×Q814yes—
391C7⋊C8—22no—
392C7⋊C8—22no—
393C22×Q8—21no—
394C22×Q8—71no—
395C22×Q8—71no—
396C22×Q8—141no—
397C22×Q8—141no—
398C22×Q8—141no—
399C22×D4—71no—
400C23×C4—141no—
401C23×C4—141no—
402C23×C4—141no—
403C2×SD16—78no—
404C2×SD16—74no—
405C22×C8—71no—
406C22×C8—71no—
407C22×C8C22×D711yescharacteristic
408C22×C8C22×D711yescharacteristic
409C4⋊Q8—22no—
410C4⋊Q8—74no—
411C4⋊Q8—74no—
412C4⋊Q8—74no—
413C4⋊Q8—142no—
414C4⋊Q8—142no—
415C4⋊Q8—142no—
416C4⋊Q8—148no—
417C4⋊Q8—148no—
418C4⋊Q8—148no—
419C4⋊Q8C22×D714yes—
420#125—22no—
421#125—74no—
422#125—142no—
423#125C22×D714yes—
424C22⋊Q8—148no—
425C22⋊Q8—148no—
426C22⋊Q8—148no—
427C4×Q8—74no—
428C4×Q8—74no—
429C4×Q8—74no—
430C4×Q8—74no—
431C4×Q8—74no—
432C4×Q8—142no—
433C4×Q8—142no—
434C4×Q8—148no—
435C4×Q8—142no—
436C4×D4—74no—
437C4×D4—74no—
438C4×D4—74no—
439C4×D4—142no—
440C4×D4—142no—
441C4×D4—142no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—21no—
445C2×C4⋊C4—71no—
446C2×C4⋊C4—71no—
447C2×C4⋊C4—71no—
448C2×C4⋊C4—71no—
449C2×C4⋊C4—71no—
450C2×C4⋊C4—148no—
451C2×C4⋊C4—141no—
452C2×C4⋊C4—141no—
453C2×C4⋊C4—141no—
454C2×C4⋊C4—141no—
455C2×C4⋊C4—141no—
456C2×C4⋊C4—141no—
457C2×C4⋊C4—141no—
458C2×C4⋊C4—141no—
459C2×C4⋊C4C22×D711yescharacteristic
460C2×C4⋊C4C22×D711yescharacteristic
461C2×C4⋊C4C22×D711yescharacteristic
462C2×C4⋊C4C22×D711yescharacteristic
463C2×C22⋊C4—141no—
464C2×C22⋊C4—141no—
465C2×C22⋊C4—141no—
466C2×C42—71no—
467C2×C42—71no—
468C2×C42—141no—
469C2×C42—141no—
470C2×C42—141no—
471C2×C42C22×D711yescharacteristic
472#107—74no—
473#107—74no—
474#107—74no—
475#107—74no—
476#107C22×D714yes—
477#107C22×D714yes—
478#106—74no—
479#106C22×D714yes—
480#106C22×D714yes—
481C4⋊C8—74no—
482C4⋊C8—74no—
483C4⋊C8—74no—
484#103—74no—
485#103—74no—
486#103—74no—
487#102—74no—
488#102—74no—
489#102—74no—
490#97—74no—
491#97C22×D714yes—
492C4×C8—74no—
493C22×C7D4×Q812yes—
494C22×C7C2×#13712yes—
495C22×C7#57612yes—
496C22×C7C23×D411yescharacteristic
497C2×D7—24no—
498C2×D7—48no—
499C2×D7—42no—
500C2×D7—42no—
501C4×C7—22no—
502C4×C7—22no—
503C4×C7—42no—
504C4×C7—42no—
505C4×C7—42no—
506C4×C7—42no—
507C4×C7D4×Q812yes—
508C4×C7C23×Q811yescharacteristic
509C4×C7C2×2−1+411yescharacteristic
510Dic7—24no—
511Dic7—22no—
512Dic7—22no—
513Dic7—22no—
514Dic7—42no—
515Dic7—42no—
516Dic7C2×#13714yes—
517C24—141no—
518C2×Q8—24no—
519C2×Q8—74no—
520C2×Q8—74no—
521C2×Q8—72no—
522C2×Q8—82no—
523C2×Q8—144no—
524C2×Q8—144no—
525C2×Q8—144no—
526C2×Q8—144no—
527C2×Q8—141no—
528C2×Q8—142no—
529C2×Q8—562no—
530C2×Q8—562no—
531C2×Q8—562no—
532C2×D4—74no—
533C2×D4—72no—
534C2×D4—141no—
535C2×D4—142no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—71no—
541C22×C4—71no—
542C22×C4—71no—
543C22×C4—71no—
544C22×C4—144no—
545C22×C4—144no—
546C22×C4—141no—
547C22×C4—141no—
548C22×C4—141no—
549C22×C4—144no—
550C22×C4—284no—
551C22×C4—562no—
552C22×C4—562no—
553C22×C4D4×D711yescharacteristic
554C22×C4D4×D711yescharacteristic
555C22×C4C23×D711yescharacteristic
556SD16—716no—
557C2×C8—22no—
558C2×C8—72no—
559C2×C8—72no—
560C2×C8—142no—
561C2×C8—142no—
562C2×C8Q8×D714yes—
563C2×C8C23×D712yes—
564C2×C8C23×D712yes—
565C4⋊C4—24no—
566C4⋊C4—24no—
567C4⋊C4—24no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—74no—
573C4⋊C4—74no—
574C4⋊C4—74no—
575C4⋊C4—72no—
576C4⋊C4—72no—
577C4⋊C4—144no—
578C4⋊C4—144no—
579C4⋊C4—144no—
580C4⋊C4—144no—
581C4⋊C4—144no—
582C4⋊C4—144no—
583C4⋊C4—144no—
584C4⋊C4—144no—
585C4⋊C4—141no—
586C4⋊C4—141no—
587C4⋊C4C23×D712yes—
588C4⋊C4C23×D712yes—
589C4⋊C4C23×D712yes—
590C4⋊C4C23×D712yes—
591C22⋊C4—144no—
592C22⋊C4—144no—
593C22⋊C4—144no—
594C42—72no—
595C42—72no—
596C42—72no—
597C42—72no—
598C42—144no—
599C42—144no—
600C42—144no—
601C42D4×D712yes—
602C42C23×D712yes—
603C2×C7#338514yescomplemented
604C2×C7C2×D4×Q811yescharacteristic
605C2×C7C22×#13711yescharacteristic
606C2×C7C2×#57611yescharacteristic
607D7—44no—
608C23—144no—
609C23—142no—
610C23—282no—
611C23—282no—
612C23C2×D4×D711yescharacteristic
613Q8—74no—
614Q8—84no—
615Q8—148no—
616Q8—144no—
617Q8—142no—
618Q8—564no—
619Q8—564no—
620Q8—564no—
621D4—74no—
622D4—144no—
623D4—142no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—74no—
635C2×C4—72no—
636C2×C4—72no—
637C2×C4—72no—
638C2×C4—72no—
639C2×C4—144no—
640C2×C4—142no—
641C2×C4—142no—
642C2×C4—142no—
643C2×C4—142no—
644C2×C4—142no—
645C2×C4—142no—
646C2×C4—288no—
647C2×C4—282no—
648C2×C4—282no—
649C2×C4—564no—
650C2×C4—564no—
651C2×C4C2×D4×D712yes—
652C2×C4C2×D4×D712yes—
653C2×C4C2×D4×D711yescharacteristic
654C2×C4C2×Q8×D712yes—
655C2×C4#655112yes—
656C2×C4C24×D711yescharacteristic
657C8—22no—
658C8—142no—
659C8—142no—
660C8C2×Q8×D714yes—
661C7C2×#338511yescharacteristic, complemented, Sylow
662C22—144no—
663C22—282no—
664C22—282no—
665C22—288no—
666C22#9041812yes—
667C22#9046512yes—
668C22D7×#13712yes—
669C22C22×D4×D711yescharacteristic
670C4—22no—
671C4—22no—
672C4—42no—
673C4—42no—
674C4—42no—
675C4—42no—
676C4—74no—
677C4—142no—
678C4—142no—
679C4—142no—
680C4—144no—
681C4—282no—
682C4—282no—
683C4#9041812yes—
684C4C22×Q8×D711yescharacteristic
685C4C2×#655111yescharacteristic
686C2—284no—
687C2#1173941014yesdirect product factor
688C2C2×#9041811yescharacteristic
689C2C2×#9046511yescharacteristic
690C2C2×D7×#13711yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C7×#501C2
socleC23×C7C22×D4
prime radicalC22×D28C23
hypercenterC2×#501D7
hypocenterC7C2×#3385
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#501

Complements

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

NH ≅ G/Ntype
1. C2×#90413C2semidirect
3. C2×C7×#501C2semidirect
5. C2×#89835C2semidirect
6. #11739410C2direct (N × H)
7. C2×#89647C2semidirect
9. C2×#89646C2semidirect
11. C2×#89629C2semidirect
13. C2×#89628C2semidirect
16. C2×#89473C2semidirect
23. #90413C22semidirect
43. C7×#501C22semidirect
57. #89835C22semidirect
69. #89647C22semidirect
70. #89646C22semidirect
72. #89629C22semidirect
73. #89628C22semidirect
76. #89473C22semidirect
127. C2×#1132Q8semidirect
182. C2×#501D7semidirect
279. #1132C2×Q8semidirect
307. #501C2×D7semidirect
603. C2×C7#3385semidirect
661. C7C2×#3385semidirect
687. C2#11739410direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#904132
C2×#903812
C2×C7×#5012
C2×#898592
C2×#898352
#117394102
C2×#896472
C2×#896622
C2×#896462
C2×#896612
C2×#896292
C2×#896422
C2×#896282
C2×#896242
C2×#894822
C2×#894732
C2×#33857