Finite Group Databasebeta

← C2×#11736674 #14232424

Subgroups — C2×#11736674 #14232424

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×#90224C211yesmaximal, characteristic
2C2×#90204C211yesmaximal, characteristic
3C2×C7×#428C211yesmaximal, characteristic, complemented
4C2×#89909C211yesmaximal, characteristic, complemented
5C2×#89899C211yesmaximal, characteristic
6C2×#89768C211yesmaximal, characteristic, complemented
7C2×#89742C211yesmaximal, characteristic, complemented
8#11736674C2116yesmaximal, direct product factor
9C2×#89647C211yesmaximal, characteristic, complemented
10C2×#89660C211yesmaximal, characteristic, complemented
11C2×#89659C211yesmaximal, characteristic, complemented
12C2×#89648C211yesmaximal, characteristic, complemented
13C2×#89629C211yesmaximal, characteristic, complemented
14C2×#89632C211yesmaximal, characteristic, complemented
15C2×#89639C211yesmaximal, characteristic, complemented
16C2×#89625C211yesmaximal, characteristic, complemented
17C22×C7×M16C2211yescharacteristic
18C2×C7×#117C2211yescharacteristic
19C22×C7×C4⋊C4C2211yescharacteristic
20C2×#6492—21no—
21C2×C4×C22⋊D7C2211yescharacteristic
22C2×#6489—21no—
23C2×#6487C2211yescharacteristic
24C2×#6487C2211yescharacteristic
25C22×Dic28C2211yescharacteristic
26C22×C8×D7C2211yescharacteristic
27#90224—24no—
28#90224C2218yes—
29#90204—24no—
30#90204C2218yes—
31C2×#6461—21no—
32C2×#6460C2211yescharacteristic
33C2×#6460C2211yescharacteristic
34C2×#6455C2211yescharacteristic
35C2×#6455C2211yescharacteristic
36C2×#6453C2211yescharacteristic
37C2×#6452—21no—
38C2×#6451C2211yescharacteristic
39C2×#6450C2211yescharacteristic
40C2×#6450C2211yescharacteristic
41C2×#6448—21no—
42C2×#6442—21no—
43C2×#6439—21no—
44C2×C4×Dic14—21no—
45C7×#428C2218yescomplemented
46C2×C7×#107C2211yescharacteristic
47C2×C7×#107C2211yescharacteristic
48C2×C7×#106C2211yescharacteristic
49C2×C7×#106C2211yescharacteristic
50C2×C22⋊(C7⋊C8)C2211yescharacteristic
51#89909C2218yescomplemented
52#89899C2218yes—
53C2×(C2×D7)⋊C8C2211yescharacteristic
54C2×#6391C2211yescharacteristic
55C2×#6390C2211yescharacteristic
56C2×#6390C2211yescharacteristic
57C2×#6389C2211yescharacteristic
58C2×Dic7⋊C8C2211yescharacteristic
59#89768C2218yescomplemented
60#89742C2218yescomplemented
61C2×#6384C2211yescharacteristic
62C2×#6384C2211yescharacteristic
63C2×#6384C2211yescharacteristic
64C2×#6384C2211yescharacteristic
65C2×#6382C2211yescharacteristic
66C2×#6381C2211yescharacteristic
67C2×#6381C2211yescharacteristic
68C2×#6381C2211yescharacteristic
69#89660C2218yescomplemented
70#89659C2218yescomplemented
71#89648C2218yescomplemented
72#89647C2218yescomplemented
73#89639C2218yescomplemented
74#89632C2218yescomplemented
75#89629C2218yescomplemented
76#89625C2218yescomplemented
77C2×#3349—71nomaximal, Sylow
78C23×C4×C7—21no—
79C23×C4×C7C2311yescharacteristic
80C22×C22⋊D7D411yescharacteristic
81C22×C4×D7C2311yescharacteristic
82C22×Dic14—21no—
83C22×Dic14C2311yescharacteristic
84C22×Dic14C2311yescharacteristic
85C2×C7×M16—24no—
86C2×C7×M16C2314yes—
87C22×C7×C8C2311yescharacteristic
88C22×C7×C8C2311yescharacteristic
89C7×#117—22no—
90C7×#117C2314yes—
91C2×C7×C4⋊C4—21no—
92C2×C7×C4⋊C4—22no—
93C2×C7×C4⋊C4C2311yescharacteristic
94C2×C7×C4⋊C4C2311yescharacteristic
95C2×C7×C4⋊C4C2311yescharacteristic
96C2×C7×C4⋊C4C2311yescharacteristic
97C2×C7×C4⋊C4C2314yes—
98C2×C7×C22⋊C4—21no—
99C2×C42×C7—21no—
100C2×C22⋊Dic7—21no—
101C2×C22⋊Dic7—21no—
102C2×C22⋊Dic7D411yescharacteristic
103#6492—28no—
104C4×C22⋊D7D414yes—
105C4×C22⋊D7C2314yes—
106C2×(C2×D7)⋊C4—21no—
107C2×(C2×D7)⋊C4—21no—
108C2×(C2×D7)⋊C4—21no—
109C2×(C2×D7)⋊C4—21no—
110C2×(C2×D7)⋊C4D411yescharacteristic
111#6489—28no—
112C2×C4⋊Dic7—21no—
113C2×C4⋊Dic7—21no—
114C2×C4⋊Dic7—21no—
115C2×C4⋊Dic7C2311yescharacteristic
116C2×C4⋊Dic7C2311yescharacteristic
117#6487—22no—
118#6487—22no—
119#6487C2314yes—
120#6487C2314yes—
121C2×Dic7⋊C4—21no—
122C2×Dic7⋊C4—21no—
123C2×Dic7⋊C4—21no—
124C2×Dic7⋊C4—21no—
125C2×Dic7⋊C4—21no—
126C2×Dic7⋊C4—21no—
127C2×Dic7⋊C4D411yescharacteristic
128C2×C4×Dic7—21no—
129C2×C4×Dic7—21no—
130C2×C4×Dic7—21no—
131C2×C4×Dic7—21no—
132C2×C4×Dic7C2311yescharacteristic
133C22×C7⋊C8C2311yescharacteristic
134C22×C7⋊C8C2311yescharacteristic
135C2×Dic28—24no—
136C2×Dic28C2314yes—
137C2×C8×D7—24no—
138C2×C8×D7C2314yes—
139#6461—28no—
140#6460—22no—
141#6460—22no—
142#6460C2314yes—
143#6460C2314yes—
144#6455—22no—
145#6455—22no—
146#6455C2314yes—
147#6455C2314yes—
148#6453—22no—
149#6453C2314yes—
150#6452—28no—
151#6451—22no—
152#6451C2314yes—
153#6450—22no—
154#6450—22no—
155#6450C2314yes—
156#6450C2314yes—
157#6448—28no—
158#6442—28no—
159#6439—28no—
160C4×Dic14—28no—
161C7×#107C2314yes—
162C7×#107C2314yes—
163C7×#106C2314yes—
164C7×#106C2314yes—
165C22⋊(C7⋊C8)C2314yes—
166(C2×D7)⋊C8C2314yes—
167#6391C2314yes—
168#6390C2314yes—
169#6390C2314yes—
170#6389C2314yes—
171Dic7⋊C8C2314yes—
172#6384C2314yes—
173#6384C2314yes—
174#6384C2314yes—
175#6384C2314yes—
176#6382C2314yes—
177#6381C2314yes—
178#6381C2314yes—
179#6381C2314yes—
180C2×#556—71no—
181C2×#552—71no—
182#3349—716no—
183C2×#501—71no—
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×#428D711yescharacteristic, complemented
195C2×#427—71no—
196C24×C7C2×D411yescharacteristic
197C23×D7C2×D411yescharacteristic
198C22×C4×C7—22no—
199C22×C4×C7—22no—
200C22×C4×C7—21no—
201C22×C4×C7—21no—
202C22×C4×C7—21no—
203C22×C4×C7—21no—
204C22×C4×C7—24no—
205C22×C4×C7—44no—
206C22×C4×C7C2×D411yescharacteristic
207C22×C4×C7C2×D412yes—
208C22×C4×C7C2412yes—
209C22×C4×C7C2411yescharacteristic
210C2×C22⋊D7—42no—
211C2×C22⋊D7C2×D414yes—
212C22×Dic7—21no—
213C22×Dic7—21no—
214C22×Dic7—21no—
215C22×Dic7—21no—
216C22×Dic7C2×D411yescharacteristic
217C22×Dic7C2×D411yescharacteristic
218C22×Dic7C2×D411yescharacteristic
219C2×C4×D7—22no—
220C2×C4×D7—22no—
221C2×C4×D7C2×D412yes—
222C2×C4×D7C2412yes—
223C2×Dic14—22no—
224C2×Dic14—22no—
225C2×Dic14—22no—
226C2×Dic14—22no—
227C2×Dic14—21no—
228C2×Dic14—21no—
229C2×Dic14—24no—
230C2×Dic14—44no—
231C2×Dic14C2412yes—
232C2×Dic14C2412yes—
233C7×M16—28no—
234C2×C7×C8—22no—
235C2×C7×C8#4114yes—
236C2×C7×C8C2412yes—
237C2×C7×C8C2412yes—
238C7×C4⋊C4—21no—
239C7×C4⋊C4—21no—
240C7×C4⋊C4—21no—
241C7×C4⋊C4—24no—
242C7×C4⋊C4—21no—
243C7×C4⋊C4C2412yes—
244C7×C4⋊C4C2412yes—
245C7×C4⋊C4C2412yes—
246C7×C4⋊C4C2412yes—
247C7×C22⋊C4—24no—
248C42×C7—24no—
249C22⋊Dic7—24no—
250C22⋊Dic7—24no—
251C22⋊Dic7C2×D414yes—
252(C2×D7)⋊C4—24no—
253(C2×D7)⋊C4—24no—
254(C2×D7)⋊C4—24no—
255(C2×D7)⋊C4—24no—
256(C2×D7)⋊C4C2×D414yes—
257C4⋊Dic7—21no—
258C4⋊Dic7—21no—
259C4⋊Dic7—24no—
260C4⋊Dic7—24no—
261C4⋊Dic7—24no—
262C4⋊Dic7C2412yes—
263C4⋊Dic7C2412yes—
264Dic7⋊C4—24no—
265Dic7⋊C4—24no—
266Dic7⋊C4—24no—
267Dic7⋊C4—24no—
268Dic7⋊C4—24no—
269Dic7⋊C4—24no—
270Dic7⋊C4C2×D414yes—
271C4×Dic7—24no—
272C4×Dic7—24no—
273C4×Dic7—24no—
274C4×Dic7—24no—
275C4×Dic7C2×D412yes—
276C4×Dic7C2412yes—
277C2×C7⋊C8—22no—
278C2×C7⋊C8—22no—
279C2×C7⋊C8C2412yes—
280C2×C7⋊C8C2412yes—
281Dic28—28no—
282C8×D7—28no—
283C22×Q16—71no—
284C22×M16C2×D711yescharacteristic
285C23×C8—71no—
286#556—78no—
287#556—144no—
288#552—78no—
289#552—144no—
290C2×C4⋊Q8—71no—
291C2×#126—141no—
292C2×#126—141no—
293C2×#126—141no—
294C2×#125—71no—
295C2×#125—141no—
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—141no—
309C2×#117C2×D711yescharacteristic
310C22×C4⋊C4C2×D711yescharacteristic
311#501—78no—
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#428C2×D718yescomplemented
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×#97—71no—
343C23×C7—22no—
344C23×C7—22no—
345C23×C7—22no—
346C23×C7C22×D412yes—
347C23×C7C22×D411yescharacteristic
348C22×D7—22no—
349C22×D7—22no—
350C22×D7—22no—
351C22×D7C22×D412yes—
352C2×C4×C7—22no—
353C2×C4×C7—24no—
354C2×C4×C7—22no—
355C2×C4×C7—22no—
356C2×C4×C7—22no—
357C2×C4×C7—22no—
358C2×C4×C7—22no—
359C2×C4×C7—22no—
360C2×C4×C7—48no—
361C2×C4×C7—42no—
362C2×C4×C7—42no—
363C2×C4×C7—42no—
364C2×C4×C7—42no—
365C2×C4×C7C22×D412yes—
366C2×C4×C7C22×D411yescharacteristic
367C2×C4×C7C2×#4112yes—
368C2×C4×C72−1+412yes—
369C2×C4×C7C2511yescharacteristic
370C22⋊D7—44no—
371C2×Dic7—22no—
372C2×Dic7—22no—
373C2×Dic7—22no—
374C2×Dic7—22no—
375C2×Dic7—22no—
376C2×Dic7—22no—
377C2×Dic7—22no—
378C2×Dic7—42no—
379C2×Dic7—42no—
380C2×Dic7—42no—
381C2×Dic7—42no—
382C2×Dic7C22×D412yes—
383C2×Dic7C22×D412yes—
384C2×Dic7C22×D412yes—
385C4×D7—24no—
386C4×D7—22no—
387C4×D7—22no—
388Dic14—22no—
389Dic14—22no—
390Dic14—22no—
391Dic14—22no—
392Dic14—48no—
393Dic14—42no—
394Dic14—42no—
395C7×C8—22no—
396C7×C8C2×#4114yes—
397C7⋊C8—22no—
398C7⋊C8—22no—
399C22×Q8—71no—
400C22×Q8—71no—
401C22×Q8—141no—
402C22×D4—71no—
403C23×C4—21no—
404C23×C4—71no—
405C23×C4C22×D711yescharacteristic
406C2×Q16—74no—
407C2×Q16—144no—
408C2×M16—24no—
409C2×M16C22×D714yes—
410C22×C8—71no—
411C22×C8—71no—
412C22×C8—74no—
413C22×C8—144no—
414C22×C8C22×D711yescharacteristic
415C22×C8C22×D711yescharacteristic
416C4⋊Q8—74no—
417C4⋊Q8—142no—
418#126—148no—
419#126—148no—
420#126—148no—
421#125—74no—
422#125—142no—
423#125—148no—
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—22no—
442#117—74no—
443#117—74no—
444#117—148no—
445#117—142no—
446#117—142no—
447#117C22×D714yes—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—22no—
450C2×C4⋊C4—71no—
451C2×C4⋊C4—71no—
452C2×C4⋊C4—71no—
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⋊C4—141no—
460C2×C4⋊C4—141no—
461C2×C4⋊C4—141no—
462C2×C4⋊C4C22×D711yescharacteristic
463C2×C4⋊C4C22×D711yescharacteristic
464C2×C4⋊C4C22×D714yes—
465C2×C4⋊C4C22×D711yescharacteristic
466C2×C4⋊C4C22×D711yescharacteristic
467C2×C22⋊C4—21no—
468C2×C22⋊C4—71no—
469C2×C22⋊C4—71no—
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—21no—
477C2×C42—71no—
478C2×C42—141no—
479C2×C42—141no—
480C2×C42—141no—
481C2×C42—141no—
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#97—74no—
501C22×C7—22no—
502C22×C7—22no—
503C22×C7—22no—
504C22×C7—44no—
505C22×C7#54712yes—
506C22×C7#57512yes—
507C22×C7#57812yes—
508C22×C7C23×D411yescharacteristic
509C2×D7—22no—
510C2×D7—22no—
511C2×D7—22no—
512C2×D7—44no—
513C4×C7—22no—
514C4×C7—42no—
515C4×C7—42no—
516C4×C7—42no—
517C4×C7—42no—
518C4×C7#54712yes—
519C4×C7C22×#4111yescharacteristic
520C4×C7C2×2−1+411yescharacteristic
521Dic7—22no—
522Dic7—22no—
523Dic7—22no—
524Dic7—42no—
525Dic7—42no—
526Dic7—42no—
527Dic7—42no—
528C24—71no—
529C24D4×D711yescharacteristic
530C2×Q8—72no—
531C2×Q8—72no—
532C2×Q8—144no—
533C2×Q8—141no—
534C2×Q8—141no—
535C2×Q8—142no—
536C2×Q8—142no—
537C2×Q8—142no—
538C2×Q8—142no—
539C2×Q8—284no—
540C2×D4—74no—
541C2×D4—282no—
542C22×C4—22no—
543C22×C4—22no—
544C22×C4—24no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—44no—
550C22×C4—71no—
551C22×C4—71no—
552C22×C4—71no—
553C22×C4—72no—
554C22×C4—72no—
555C22×C4—142no—
556C22×C4—142no—
557C22×C4—141no—
558C22×C4—141no—
559C22×C4—141no—
560C22×C4—141no—
561C22×C4D4×D712yes—
562C22×C4D4×D711yescharacteristic
563C22×C4C23×D712yes—
564C22×C4C23×D711yescharacteristic
565Q16—148no—
566M16—28no—
567C2×C8—22no—
568C2×C8—72no—
569C2×C8—72no—
570C2×C8—142no—
571C2×C8—142no—
572C2×C8—148no—
573C2×C8#115714yes—
574C2×C8C23×D712yes—
575C2×C8C23×D712yes—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—24no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—74no—
582C4⋊C4—72no—
583C4⋊C4—72no—
584C4⋊C4—144no—
585C4⋊C4—144no—
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—24no—
600C22⋊C4—74no—
601C22⋊C4—74no—
602C22⋊C4—144no—
603C22⋊C4—144no—
604C22⋊C4—144no—
605C22⋊C4—144no—
606C22⋊C4—144no—
607C22⋊C4—144no—
608C42—24no—
609C42—72no—
610C42—72no—
611C42—144no—
612C42—144no—
613C42—144no—
614C42—144no—
615C2×C7—42no—
616C2×C7#334914yescomplemented
617C2×C7C2×#54711yescharacteristic
618C2×C7C2×#57511yescharacteristic
619C2×C7C2×#57811yescharacteristic
620D7—42no—
621C23—22no—
622C23—22no—
623C23—22no—
624C23—72no—
625C23—142no—
626C23—142no—
627C23—142no—
628C23C2×D4×D712yes—
629C23C2×D4×D711yescharacteristic
630Q8—142no—
631Q8—142no—
632Q8—142no—
633Q8—142no—
634Q8—288no—
635Q8—282no—
636Q8—282no—
637D4—284no—
638C2×C4—22no—
639C2×C4—24no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—48no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—72no—
652C2×C4—72no—
653C2×C4—72no—
654C2×C4—142no—
655C2×C4—142no—
656C2×C4—142no—
657C2×C4—144no—
658C2×C4—142no—
659C2×C4—142no—
660C2×C4—142no—
661C2×C4—142no—
662C2×C4—142no—
663C2×C4—142no—
664C2×C4—282no—
665C2×C4—282no—
666C2×C4—282no—
667C2×C4—282no—
668C2×C4C2×#115712yes—
669C2×C4C2×D4×D712yes—
670C2×C4C2×D4×D711yescharacteristic
671C2×C4#655112yes—
672C2×C4C24×D711yescharacteristic
673C8—22no—
674C8—142no—
675C8—142no—
676C8C2×#115714yes—
677C7C2×#334911yescharacteristic, complemented, Sylow
678C22—22no—
679C22—22no—
680C22—22no—
681C22—44no—
682C22—142no—
683C22—142no—
684C22—142no—
685C22—284no—
686C22#9019812yes—
687C22#9046412yes—
688C22#9047012yes—
689C22C22×D4×D711yescharacteristic
690C4—22no—
691C4—42no—
692C4—42no—
693C4—42no—
694C4—42no—
695C4—142no—
696C4—142no—
697C4—142no—
698C4—282no—
699C4—282no—
700C4—282no—
701C4—282no—
702C4#9019812yes—
703C4C22×#115711yescharacteristic
704C4C2×#655111yescharacteristic
705C2—42no—
706C2—282no—
707C2#1173667414yesdirect product factor
708C2C2×#9019811yescharacteristic
709C2C2×#9046411yescharacteristic
710C2C2×#9047011yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C7×#428C2
socleC23×C7C22×D4
prime radicalC22×C22⋊D7D4
hypercenterC2×#428D7
hypocenterC7C2×#3349
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
3. C2×C7×#428C2semidirect
4. C2×#89909C2semidirect
6. C2×#89768C2semidirect
7. C2×#89742C2semidirect
8. #11736674C2direct (N × H)
9. C2×#89647C2semidirect
10. C2×#89660C2semidirect
11. C2×#89659C2semidirect
12. C2×#89648C2semidirect
13. C2×#89629C2semidirect
14. C2×#89632C2semidirect
15. C2×#89639C2semidirect
16. C2×#89625C2semidirect
45. C7×#428C22semidirect
51. #89909C22semidirect
59. #89768C22semidirect
60. #89742C22semidirect
69. #89660C22semidirect
70. #89659C22semidirect
71. #89648C22semidirect
72. #89647C22semidirect
73. #89639C22semidirect
74. #89632C22semidirect
75. #89629C22semidirect
76. #89625C22semidirect
194. C2×#428D7semidirect
322. #428C2×D7semidirect
616. C2×C7#3349semidirect
677. C7C2×#3349semidirect
707. C2#11736674direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#902242
C2×#902042
C2×C7×#4282
C2×#899092
C2×#898992
C2×#897682
C2×#897422
#117366742
C2×#896472
C2×#896602
C2×#896592
C2×#896482
C2×#896292
C2×#896322
C2×#896392
C2×#896252
C2×#33497