Finite Group Databasebeta

← C2×#11739441 #14232422

Subgroups — C2×#11739441 #14232422

Order 1792.

1834 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90423C211yesmaximal, characteristic
2C2×#90385C211yesmaximal, characteristic
3C2×C7×#501C211yesmaximal, characteristic, complemented
4C2×#89863C211yesmaximal, characteristic, complemented
5C2×#89835C211yesmaximal, characteristic, complemented
6#11739441C2116yesmaximal, direct product factor
7C2×#89656C211yesmaximal, characteristic, complemented
8C2×#89660C211yesmaximal, characteristic, complemented
9C2×#89659C211yesmaximal, characteristic, complemented
10C2×#89653C211yesmaximal, characteristic, complemented
11C2×#89640C211yesmaximal, characteristic, complemented
12C2×#89632C211yesmaximal, characteristic, complemented
13C2×#89639C211yesmaximal, characteristic, complemented
14C2×#89639C211yesmaximal, characteristic, complemented
15C2×#89488C211yesmaximal, characteristic, complemented
16C2×#89478C211yesmaximal, characteristic
17C2×C7×C4⋊Q8C2211yescharacteristic
18C2×C7×#125C2211yescharacteristic
19C2×#6510—21no—
20C2×Q8×Dic7—21no—
21C22×Dic28C2211yescharacteristic
22C22×#1131C2211yescharacteristic
23C22×C8×D7C2211yescharacteristic
24#90423—24no—
25#90423C2218yes—
26#90385—24no—
27#90385C2218yes—
28C2×#6461—21no—
29C2×#6461—21no—
30C2×#6461—21no—
31C2×#6460C2211yescharacteristic
32C2×#6460C2211yescharacteristic
33C2×#6460C2211yescharacteristic
34C2×#6460C2211yescharacteristic
35C2×#6457—21no—
36C2×#6455—21no—
37C2×#6455C2211yescharacteristic
38C2×#6455C2211yescharacteristic
39C2×#6455C2211yescharacteristic
40C2×D7×C4⋊C4C2211yescharacteristic
41C2×#6453—21no—
42C2×C4×D28C2211yescharacteristic
43C2×C4×Dic14C2211yescharacteristic
44C2×C4×Dic14C2211yescharacteristic
45C7×#501C2218yescomplemented
46C2×C7×#107C2211yescharacteristic
47C2×C7×#107C2211yescharacteristic
48C2×C7×#106C2211yescharacteristic
49C2×C7×#106C2211yescharacteristic
50C2×C7×#97C2211yescharacteristic
51C2×(C2×D7)⋊C8C2211yescharacteristic
52C2×(C2×D7)⋊C8C2211yescharacteristic
53C2×#6391C2211yescharacteristic
54C2×#6390C2211yescharacteristic
55C2×#6390C2211yescharacteristic
56#89863C2218yescomplemented
57#89835C2218yescomplemented
58C2×#6384C2211yescharacteristic
59C2×#6384C2211yescharacteristic
60C2×#6384C2211yescharacteristic
61C2×#6384C2211yescharacteristic
62C2×#6382C2211yescharacteristic
63C2×#6381C2211yescharacteristic
64C2×#6381C2211yescharacteristic
65C2×#6381C2211yescharacteristic
66C2×C4⋊(C7⋊C8)C2211yescharacteristic
67#89660C2218yescomplemented
68#89659C2218yescomplemented
69#89656C2218yescomplemented
70#89653C2218yescomplemented
71#89640C2218yescomplemented
72#89639C2218yescomplemented
73#89639C2218yescomplemented
74#89632C2218yescomplemented
75#89488C2218yescomplemented
76#89478C2218yes—
77C2×#3349—71nomaximal, Sylow
78C22×C7×Q8—21no—
79C22×D28D411yescharacteristic
80C22×C4×D7—21no—
81C22×C4×D7C2311yescharacteristic
82C22×C4×D7C2311yescharacteristic
83C22×Dic14C2311yescharacteristic
84C22×Dic14C2311yescharacteristic
85C22×C7×C8C2311yescharacteristic
86C22×C7×C8C2311yescharacteristic
87C7×C4⋊Q8—22no—
88C7×C4⋊Q8C2314yes—
89C7×#125—22no—
90C7×#125C2314yes—
91C2×C7×C4⋊C4—21no—
92C2×C7×C4⋊C4—21no—
93C2×C7×C4⋊C4—21no—
94C2×C7×C4⋊C4C2311yescharacteristic
95C2×C7×C4⋊C4C2311yescharacteristic
96C2×C7×C4⋊C4C2311yescharacteristic
97C2×C7×C4⋊C4C2311yescharacteristic
98C2×C42×C7C2311yescharacteristic
99#6510—28no—
100Q8×Dic7—28no—
101C2×(C2×D7)⋊C4—21no—
102C2×(C2×D7)⋊C4—21no—
103C2×(C2×D7)⋊C4—21no—
104C2×(C2×D7)⋊C4—21no—
105C2×(C2×D7)⋊C4—21no—
106C2×(C2×D7)⋊C4—21no—
107C2×(C2×D7)⋊C4—21no—
108C2×(C2×D7)⋊C4D411yescharacteristic
109C2×(C2×D7)⋊C4D411yescharacteristic
110C2×C4⋊Dic7—21no—
111C2×C4⋊Dic7—21no—
112C2×C4⋊Dic7—21no—
113C2×C4⋊Dic7—21no—
114C2×C4⋊Dic7D411yescharacteristic
115C2×C4⋊Dic7C2311yescharacteristic
116C2×C4⋊Dic7C2311yescharacteristic
117C2×Dic7⋊C4—21no—
118C2×Dic7⋊C4—21no—
119C2×Dic7⋊C4—21no—
120C2×C4×Dic7—21no—
121C2×C4×Dic7—21no—
122C2×C4×Dic7—21no—
123C2×C4×Dic7—21no—
124C2×C4×Dic7—21no—
125C22×C7⋊C8C2311yescharacteristic
126C22×C7⋊C8C2311yescharacteristic
127C2×Dic28—24no—
128C2×Dic28C2314yes—
129C2×#1131—24no—
130C2×#1131C2314yes—
131C2×C8×D7—24no—
132C2×C8×D7C2314yes—
133#6461—28no—
134#6461—28no—
135#6461—28no—
136#6460—22no—
137#6460—22no—
138#6460—22no—
139#6460—22no—
140#6460C2314yes—
141#6460C2314yes—
142#6460C2314yes—
143#6460C2314yes—
144#6457—28no—
145#6455—22no—
146#6455—22no—
147#6455—22no—
148#6455—28no—
149#6455C2314yes—
150#6455C2314yes—
151#6455C2314yes—
152D7×C4⋊C4—22no—
153D7×C4⋊C4C2314yes—
154#6453—28no—
155C4×D28D414yes—
156C4×D28C2314yes—
157C4×Dic14—22no—
158C4×Dic14—22no—
159C4×Dic14C2314yes—
160C4×Dic14C2314yes—
161C7×#107C2314yes—
162C7×#107C2314yes—
163C7×#106C2314yes—
164C7×#106C2314yes—
165C7×#97C2314yes—
166(C2×D7)⋊C8C2314yes—
167(C2×D7)⋊C8C2314yes—
168#6391C2314yes—
169#6390C2314yes—
170#6390C2314yes—
171#6384C2314yes—
172#6384C2314yes—
173#6384C2314yes—
174#6384C2314yes—
175#6382C2314yes—
176#6381C2314yes—
177#6381C2314yes—
178#6381C2314yes—
179C4⋊(C7⋊C8)C2314yes—
180C2×#556—71no—
181C2×#552—71no—
182#3349—716no—
183C2×#501D711yescharacteristic, complemented
184C2×#484—71no—
185C2×#485—71no—
186C2×#485—71no—
187C2×#485—71no—
188C2×#479—71no—
189C2×#477—71no—
190C2×#470—71no—
191C2×#467—71no—
192C2×#441—71no—
193C2×#435—71no—
194C2×#428—71no—
195C2×#427—71no—
196C23×D7C2×D411yescharacteristic
197C23×D7C2×D411yescharacteristic
198C2×C7×Q8—24no—
199C2×C7×Q8—44no—
200C22×C4×C7—21no—
201C22×C4×C7—21no—
202C22×C4×C7—21no—
203C22×C4×C7—21no—
204C22×C4×C7C2×D411yescharacteristic
205C22×C4×C7C2×D411yescharacteristic
206C22×C4×C7C2411yescharacteristic
207C22×Dic7—21no—
208C22×Dic7—21no—
209C22×Dic7—21no—
210C22×Dic7—21no—
211C22×Dic7C2×D411yescharacteristic
212C22×Dic7C2×D411yescharacteristic
213C2×D28—42no—
214C2×D28C2×D414yes—
215C2×C4×D7—22no—
216C2×C4×D7—22no—
217C2×C4×D7—22no—
218C2×C4×D7—22no—
219C2×C4×D7—24no—
220C2×C4×D7—44no—
221C2×C4×D7C2×D412yes—
222C2×C4×D7C2×D412yes—
223C2×C4×D7C2412yes—
224C2×C4×D7C2412yes—
225C2×Dic14—22no—
226C2×Dic14—22no—
227C2×Dic14—22no—
228C2×Dic14—22no—
229C2×Dic14—21no—
230C2×Dic14—21no—
231C2×Dic14C2412yes—
232C2×Dic14C2412yes—
233C2×C7×C8—22no—
234C2×C7×C8#4114yes—
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—
253(C2×D7)⋊C4—24no—
254(C2×D7)⋊C4—24no—
255(C2×D7)⋊C4—24no—
256(C2×D7)⋊C4—24no—
257(C2×D7)⋊C4C2×D414yes—
258(C2×D7)⋊C4C2×D414yes—
259C4⋊Dic7—21no—
260C4⋊Dic7—21no—
261C4⋊Dic7—24no—
262C4⋊Dic7—24no—
263C4⋊Dic7—24no—
264C4⋊Dic7—24no—
265C4⋊Dic7C2×D414yes—
266C4⋊Dic7C2412yes—
267C4⋊Dic7C2412yes—
268Dic7⋊C4—24no—
269Dic7⋊C4—24no—
270Dic7⋊C4—24no—
271C4×Dic7—24no—
272C4×Dic7—24no—
273C4×Dic7—24no—
274C4×Dic7—24no—
275C4×Dic7—24no—
276C2×C7⋊C8—22no—
277C2×C7⋊C8—22no—
278C2×C7⋊C8C2412yes—
279C2×C7⋊C8C2412yes—
280Dic28—28no—
281#1131—28no—
282C8×D7—28no—
283C22×Q16—71no—
284C22×M16—71no—
285C23×C8—71no—
286#556—78no—
287#556—144no—
288#552—78no—
289#552—144no—
290C2×C4⋊Q8C2×D711yescharacteristic
291C2×#126—141no—
292C2×#126—141no—
293C2×#126—141no—
294C2×#125—141no—
295C2×#125C2×D711yescharacteristic
296C2×#124—141no—
297C2×#123—141no—
298C2×C22⋊Q8—71no—
299C2×C22⋊Q8—71no—
300C2×C22⋊Q8—71no—
301C2×C22⋊Q8—71no—
302C2×C4×Q8—71no—
303C2×C4×Q8—71no—
304C2×C4×Q8—141no—
305C2×C4×D4—71no—
306C2×#117—71no—
307C2×#117—71no—
308C2×#117—71no—
309C2×#117—141no—
310C22×C4⋊C4—71no—
311#501C2×D718yescomplemented
312#485—78no—
313#485—78no—
314#485—78no—
315#484—78no—
316#479—78no—
317#477—78no—
318#470—78no—
319#467—78no—
320#441—78no—
321#435—78no—
322#428—78no—
323#427—78no—
324C2×#107—71no—
325C2×#107—71no—
326C2×#107—71no—
327C2×#107C2×D711yescharacteristic
328C2×#107C2×D711yescharacteristic
329C2×#106—71no—
330C2×#106—71no—
331C2×#106C2×D711yescharacteristic
332C2×#106C2×D711yescharacteristic
333C2×C4⋊C8—71no—
334C2×#103—71no—
335C2×#103—71no—
336C2×#103—71no—
337C2×#103—71no—
338C2×#103—71no—
339C2×#103—71no—
340C2×C22⋊C8—71no—
341C2×C22⋊C8—71no—
342C2×#97C2×D711yescharacteristic
343C23×C7C22×D411yescharacteristic
344C22×D7—22no—
345C22×D7—22no—
346C22×D7—22no—
347C22×D7—22no—
348C22×D7—22no—
349C22×D7—22no—
350C22×D7C22×D412yes—
351C22×D7C22×D412yes—
352C7×Q8—48no—
353C2×C4×C7—22no—
354C2×C4×C7—22no—
355C2×C4×C7—22no—
356C2×C4×C7—22no—
357C2×C4×C7—22no—
358C2×C4×C7—22no—
359C2×C4×C7—42no—
360C2×C4×C7—42no—
361C2×C4×C7—42no—
362C2×C4×C7—42no—
363C2×C4×C7C22×D412yes—
364C2×C4×C7C22×D412yes—
365C2×C4×C7C22×D411yescharacteristic
366C2×C4×C7C2×#4112yes—
367C2×C4×C72−1+412yes—
368C2×C4×C7C2511yescharacteristic
369C2×Dic7—22no—
370C2×Dic7—22no—
371C2×Dic7—22no—
372C2×Dic7—22no—
373C2×Dic7—22no—
374C2×Dic7—22no—
375C2×Dic7—42no—
376C2×Dic7—42no—
377C2×Dic7—42no—
378C2×Dic7—42no—
379C2×Dic7C22×D412yes—
380C2×Dic7C22×D412yes—
381D28—44no—
382C4×D7—24no—
383C4×D7—24no—
384C4×D7—22no—
385C4×D7—22no—
386C4×D7—22no—
387C4×D7—22no—
388C4×D7—48no—
389Dic14—22no—
390Dic14—22no—
391Dic14—22no—
392Dic14—22no—
393Dic14—42no—
394Dic14—42no—
395C7×C8—22no—
396C7×C8C2×#4114yes—
397C7⋊C8—22no—
398C7⋊C8—22no—
399C22×Q8—21no—
400C22×Q8—71no—
401C22×Q8—71no—
402C22×D4—71no—
403C23×C4—71no—
404C23×C4—71no—
405C23×C4—141no—
406C2×Q16—74no—
407C2×Q16—144no—
408C2×M16—74no—
409C2×M16—144no—
410C22×C8—71no—
411C22×C8—71no—
412C22×C8—74no—
413C22×C8—144no—
414C22×C8C22×D711yescharacteristic
415C22×C8C22×D711yescharacteristic
416C4⋊Q8—22no—
417C4⋊Q8C22×D714yes—
418#126—148no—
419#126—148no—
420#126—148no—
421#125—22no—
422#125—148no—
423#125C22×D714yes—
424#124—148no—
425#123—148no—
426C22⋊Q8—74no—
427C22⋊Q8—74no—
428C22⋊Q8—74no—
429C22⋊Q8—74no—
430C22⋊Q8—142no—
431C22⋊Q8—142no—
432C22⋊Q8—142no—
433C22⋊Q8—142no—
434C4×Q8—74no—
435C4×Q8—74no—
436C4×Q8—148no—
437C4×Q8—142no—
438C4×Q8—142no—
439C4×D4—74no—
440C4×D4—74no—
441#117—74no—
442#117—74no—
443#117—74no—
444#117—148no—
445#117—142no—
446#117—142no—
447#117—142no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—71no—
452C2×C4⋊C4—71no—
453C2×C4⋊C4—71no—
454C2×C4⋊C4—74no—
455C2×C4⋊C4—142no—
456C2×C4⋊C4—141no—
457C2×C4⋊C4—141no—
458C2×C4⋊C4—141no—
459C2×C4⋊C4—141no—
460C2×C4⋊C4—141no—
461C2×C4⋊C4—141no—
462C2×C4⋊C4—141no—
463C2×C4⋊C4C22×D711yescharacteristic
464C2×C4⋊C4C22×D711yescharacteristic
465C2×C4⋊C4C22×D711yescharacteristic
466C2×C4⋊C4C22×D711yescharacteristic
467C2×C22⋊C4—71no—
468C2×C22⋊C4—71no—
469C2×C22⋊C4—141no—
470C2×C22⋊C4—141no—
471C2×C22⋊C4—141no—
472C2×C22⋊C4—141no—
473C2×C22⋊C4—141no—
474C2×C22⋊C4—141no—
475C2×C22⋊C4—141no—
476C2×C42—141no—
477C2×C42—141no—
478C2×C42—141no—
479C2×C42—141no—
480C2×C42—141no—
481C2×C42C22×D711yescharacteristic
482#107—74no—
483#107—74no—
484#107—74no—
485#107C22×D714yes—
486#107C22×D714yes—
487#106—74no—
488#106—74no—
489#106C22×D714yes—
490#106C22×D714yes—
491C4⋊C8—74no—
492#103—74no—
493#103—74no—
494#103—74no—
495#103—74no—
496#103—74no—
497#103—74no—
498C22⋊C8—74no—
499C22⋊C8—74no—
500#97C22×D714yes—
501C22×C7#54712yes—
502C22×C7#57512yes—
503C22×C7#57812yes—
504C22×C7C23×D411yescharacteristic
505C2×D7—22no—
506C2×D7—22no—
507C2×D7—22no—
508C2×D7—22no—
509C2×D7—22no—
510C2×D7—22no—
511C2×D7—44no—
512C2×D7—44no—
513C4×C7—22no—
514C4×C7—22no—
515C4×C7—42no—
516C4×C7—42no—
517C4×C7—42no—
518C4×C7—42no—
519C4×C7#54712yes—
520C4×C7C22×#4111yescharacteristic
521C4×C7C2×2−1+411yescharacteristic
522Dic7—22no—
523Dic7—22no—
524Dic7—42no—
525Dic7—42no—
526Dic7—42no—
527Dic7—42no—
528C24—71no—
529C24—71no—
530C2×Q8—24no—
531C2×Q8—44no—
532C2×Q8—72no—
533C2×Q8—72no—
534C2×Q8—141no—
535C2×Q8—141no—
536C2×Q8—142no—
537C2×Q8—142no—
538C2×Q8—142no—
539C2×Q8—142no—
540C2×D4—74no—
541C2×D4—282no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—71no—
547C22×C4—71no—
548C22×C4—72no—
549C22×C4—72no—
550C22×C4—72no—
551C22×C4—72no—
552C22×C4—144no—
553C22×C4—142no—
554C22×C4—142no—
555C22×C4—142no—
556C22×C4—142no—
557C22×C4—141no—
558C22×C4—141no—
559C22×C4—141no—
560C22×C4—141no—
561C22×C4—284no—
562C22×C4D4×D711yescharacteristic
563C22×C4D4×D711yescharacteristic
564C22×C4C23×D711yescharacteristic
565Q16—148no—
566M16—148no—
567C2×C8—22no—
568C2×C8—72no—
569C2×C8—72no—
570C2×C8—142no—
571C2×C8—142no—
572C2×C8—148no—
573C2×C8#116114yes—
574C2×C8C23×D712yes—
575C2×C8C23×D712yes—
576C4⋊C4—24no—
577C4⋊C4—24no—
578C4⋊C4—24no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—74no—
584C4⋊C4—72no—
585C4⋊C4—72no—
586C4⋊C4—144no—
587C4⋊C4—144no—
588C4⋊C4—144no—
589C4⋊C4—144no—
590C4⋊C4—144no—
591C4⋊C4—144no—
592C4⋊C4—144no—
593C4⋊C4—141no—
594C4⋊C4—141no—
595C4⋊C4C23×D712yes—
596C4⋊C4C23×D712yes—
597C4⋊C4C23×D712yes—
598C4⋊C4C23×D712yes—
599C22⋊C4—74no—
600C22⋊C4—74no—
601C22⋊C4—144no—
602C22⋊C4—144no—
603C22⋊C4—144no—
604C22⋊C4—144no—
605C22⋊C4—144no—
606C22⋊C4—144no—
607C22⋊C4—144no—
608C42—144no—
609C42—144no—
610C42—144no—
611C42—144no—
612C42—144no—
613C42D4×D712yes—
614C42C23×D712yes—
615C2×C7#334914yescomplemented
616C2×C7C2×#54711yescharacteristic
617C2×C7C2×#57511yescharacteristic
618C2×C7C2×#57811yescharacteristic
619D7—42no—
620D7—42no—
621C23—72no—
622C23—72no—
623C23—142no—
624C23—142no—
625C23—142no—
626C23—142no—
627C23—142no—
628C23—142no—
629C23C2×D4×D711yescharacteristic
630Q8—48no—
631Q8—142no—
632Q8—142no—
633Q8—142no—
634Q8—142no—
635Q8—282no—
636Q8—282no—
637D4—284no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—72no—
649C2×C4—72no—
650C2×C4—142no—
651C2×C4—142no—
652C2×C4—144no—
653C2×C4—144no—
654C2×C4—142no—
655C2×C4—142no—
656C2×C4—142no—
657C2×C4—142no—
658C2×C4—142no—
659C2×C4—142no—
660C2×C4—142no—
661C2×C4—142no—
662C2×C4—288no—
663C2×C4—282no—
664C2×C4—282no—
665C2×C4—282no—
666C2×C4—282no—
667C2×C4C2×D4×D712yes—
668C2×C4C2×D4×D712yes—
669C2×C4C2×D4×D711yescharacteristic
670C2×C4C2×#116112yes—
671C2×C4#655112yes—
672C2×C4C24×D711yescharacteristic
673C8—22no—
674C8—142no—
675C8—142no—
676C8C2×#116114yes—
677C7C2×#334911yescharacteristic, complemented, Sylow
678C22—142no—
679C22—142no—
680C22—142no—
681C22—142no—
682C22—142no—
683C22—142no—
684C22—284no—
685C22—284no—
686C22#9041712yes—
687C22#9046412yes—
688C22#9047012yes—
689C22C22×D4×D711yescharacteristic
690C4—22no—
691C4—22no—
692C4—42no—
693C4—42no—
694C4—42no—
695C4—42no—
696C4—142no—
697C4—142no—
698C4—282no—
699C4—282no—
700C4—282no—
701C4—282no—
702C4#9041712yes—
703C4C22×#116111yescharacteristic
704C4C2×#655111yescharacteristic
705C2—282no—
706C2—282no—
707C2#1173944114yesdirect product factor
708C2C2×#9041711yescharacteristic
709C2C2×#9046411yescharacteristic
710C2C2×#9047011yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C7×#501C2
socleC23×C7C22×D4
prime radicalC22×D28D4
hypercenterC2×#501D7
hypocenterC7C2×#3349
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
3. C2×C7×#501C2semidirect
4. C2×#89863C2semidirect
5. C2×#89835C2semidirect
6. #11739441C2direct (N × H)
7. C2×#89656C2semidirect
8. C2×#89660C2semidirect
9. C2×#89659C2semidirect
10. C2×#89653C2semidirect
11. C2×#89640C2semidirect
12. C2×#89632C2semidirect
13. C2×#89639C2semidirect
14. C2×#89639C2semidirect
15. C2×#89488C2semidirect
45. C7×#501C22semidirect
56. #89863C22semidirect
57. #89835C22semidirect
67. #89660C22semidirect
68. #89659C22semidirect
69. #89656C22semidirect
70. #89653C22semidirect
71. #89640C22semidirect
72. #89639C22semidirect
73. #89639C22semidirect
74. #89632C22semidirect
75. #89488C22semidirect
183. C2×#501D7semidirect
311. #501C2×D7semidirect
615. C2×C7#3349semidirect
677. C7C2×#3349semidirect
707. C2#11739441direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#904232
C2×#903852
C2×C7×#5012
C2×#898632
C2×#898352
#117394412
C2×#896562
C2×#896602
C2×#896592
C2×#896532
C2×#896402
C2×#896322
C2×#896392
C2×#894882
C2×#894782
C2×#33497