Finite Group Databasebeta

← C2×#11736810 #14226035

Subgroups — C2×#11736810 #14226035

Order 1792.

1742 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90225C211yesmaximal, characteristic
2C2×#90210C211yesmaximal, characteristic, complemented
3C2×C7×#433C211yesmaximal, characteristic, complemented
4#11736810C2116yesmaximal, direct product factor
5C2×#89601C211yesmaximal, characteristic, complemented
6C2×#89623C211yesmaximal, characteristic, complemented
7C2×#89619C211yesmaximal, characteristic, complemented
8C2×#89614C211yesmaximal, characteristic, complemented
9C2×#89507C211yesmaximal, characteristic
10C2×#89495C211yesmaximal, characteristic, complemented
11C2×#89509C211yesmaximal, characteristic
12C2×#89493C211yesmaximal, characteristic, complemented
13C2×#89486C211yesmaximal, characteristic, complemented
14C2×#89474C211yesmaximal, characteristic, complemented
15C2×#89469C211yesmaximal, characteristic, complemented
16C2×#89452C211yesmaximal, characteristic, complemented
17C2×C7×#117C2211yescharacteristic
18C2×#6493C2211yescharacteristic
19C2×#6489C2211yescharacteristic
20C22×C4⋊Dic7C2211yescharacteristic
21C2×#6487C2211yescharacteristic
22#90225—24no—
23#90225C2218yes—
24#90210—24no—
25#90210C2218yescomplemented
26C2×#6461—21no—
27C2×#6459—21no—
28C2×#6453—21no—
29C2×#6451—21no—
30C2×#6448—21no—
31C2×#6446—21no—
32C2×#6441—21no—
33C2×#6441—21no—
34C2×#6438C2211yescharacteristic
35C2×C4×D28C2211yescharacteristic
36C2×#6433C2211yescharacteristic
37C2×#6433C2211yescharacteristic
38C2×#6432C2211yescharacteristic
39C2×#6432C2211yescharacteristic
40C2×#6432C2211yescharacteristic
41C2×C4×Dic14C2211yescharacteristic
42C7×#433C2218yescomplemented
43C2×C7×C4⋊C8C2211yescharacteristic
44C2×C7×C4⋊C8C2211yescharacteristic
45C2×C7×C22⋊C8C2211yescharacteristic
46C2×C7×C22⋊C8C2211yescharacteristic
47C2×C7×#97C2211yescharacteristic
48C2×C4×C7×C8C2211yescharacteristic
49C2×#6395C2211yescharacteristic
50C2×#6395C2211yescharacteristic
51C2×#6395C2211yescharacteristic
52C2×#6395C2211yescharacteristic
53C2×#6392C2211yescharacteristic
54C2×#6392C2211yescharacteristic
55C2×#6391C2211yescharacteristic
56C2×#6391C2211yescharacteristic
57C2×#6391C2211yescharacteristic
58C2×#6391C2211yescharacteristic
59C2×#6391C2211yescharacteristic
60C2×#6391C2211yescharacteristic
61C2×#6390C2211yescharacteristic
62C2×#6390C2211yescharacteristic
63C2×#6390C2211yescharacteristic
64C2×#6390C2211yescharacteristic
65#89623C2218yescomplemented
66#89619C2218yescomplemented
67#89614C2218yescomplemented
68#89601C2218yescomplemented
69#89509C2218yes—
70#89507C2218yes—
71#89495C2218yescomplemented
72#89493C2218yescomplemented
73#89486C2218yescomplemented
74#89474C2218yescomplemented
75#89469C2218yescomplemented
76#89452C2218yescomplemented
77C2×#3244—71nomaximal, Sylow
78C23×C4×C7C2311yescharacteristic
79C22×C22⋊D7—21no—
80C23×Dic7—21no—
81C22×D28C2311yescharacteristic
82C22×C4×D7—21no—
83C22×Dic14—21no—
84C22×Dic14—21no—
85C22×Dic14—21no—
86C22×Dic14C2311yescharacteristic
87C22×C7×C8C2311yescharacteristic
88C22×C7×C8C2311yescharacteristic
89C22×C7×C8C2311yescharacteristic
90C22×C7×C8C2311yescharacteristic
91C7×#117D414yes—
92C7×#117C2314yes—
93C2×C7×C4⋊C4D411yescharacteristic
94C2×C7×C4⋊C4D411yescharacteristic
95C2×C7×C22⋊C4D411yescharacteristic
96C2×C7×C22⋊C4D411yescharacteristic
97C2×C42×C7C2311yescharacteristic
98C2×C42×C7C2311yescharacteristic
99C2×C22⋊Dic7—21no—
100C2×C22⋊Dic7—21no—
101#6493—22no—
102#6493C2314yes—
103C2×(C2×D7)⋊C4—21no—
104C2×(C2×D7)⋊C4—21no—
105C2×(C2×D7)⋊C4—21no—
106C2×(C2×D7)⋊C4—21no—
107#6489—22no—
108#6489C2314yes—
109C2×C4⋊Dic7—21no—
110C2×C4⋊Dic7—21no—
111C2×C4⋊Dic7—21no—
112C2×C4⋊Dic7—21no—
113C2×C4⋊Dic7—22no—
114C2×C4⋊Dic7C2311yescharacteristic
115C2×C4⋊Dic7C2311yescharacteristic
116C2×C4⋊Dic7C2311yescharacteristic
117C2×C4⋊Dic7C2311yescharacteristic
118C2×C4⋊Dic7C2311yescharacteristic
119C2×C4⋊Dic7C2311yescharacteristic
120C2×C4⋊Dic7C2314yes—
121#6487—22no—
122#6487C2314yes—
123C2×Dic7⋊C4—21no—
124C2×Dic7⋊C4—21no—
125C2×Dic7⋊C4—21no—
126C2×Dic7⋊C4—21no—
127C2×Dic7⋊C4—21no—
128C2×Dic7⋊C4—21no—
129C2×C4×Dic7—21no—
130C2×C4×Dic7—21no—
131#6461—28no—
132#6459—28no—
133#6453—28no—
134#6451—28no—
135#6448—28no—
136#6446—28no—
137#6441—28no—
138#6441—28no—
139#6438—22no—
140#6438C2314yes—
141C4×D28—22no—
142C4×D28C2314yes—
143#6433—22no—
144#6433—22no—
145#6433C2314yes—
146#6433C2314yes—
147#6432—22no—
148#6432—22no—
149#6432—22no—
150#6432C2314yes—
151#6432C2314yes—
152#6432C2314yes—
153C4×Dic14—22no—
154C4×Dic14C2314yes—
155C7×C4⋊C8C2314yes—
156C7×C4⋊C8C2314yes—
157C7×C22⋊C8C2314yes—
158C7×C22⋊C8C2314yes—
159C7×#97C2314yes—
160C4×C7×C8C2314yes—
161#6395C2314yes—
162#6395C2314yes—
163#6395C2314yes—
164#6395C2314yes—
165#6392C2314yes—
166#6392C2314yes—
167#6391C2314yes—
168#6391C2314yes—
169#6391C2314yes—
170#6391C2314yes—
171#6391C2314yes—
172#6391C2314yes—
173#6390C2314yes—
174#6390C2314yes—
175#6390C2314yes—
176#6390C2314yes—
177C2×#544—71no—
178C2×#542—71no—
179#3244—716no—
180C2×#501—71no—
181C2×#498—71no—
182C2×#489—71no—
183C2×#488—71no—
184C2×#481—71no—
185C2×#485—71no—
186C2×#482—71no—
187C2×#483—71no—
188C2×#479—71no—
189C2×#475—71no—
190C2×#478—71no—
191C2×#476—71no—
192C2×#433D711yescharacteristic, complemented
193C24×C7C2×D411yescharacteristic
194C23×D7—21no—
195C22×C4×C7—22no—
196C22×C4×C7—22no—
197C22×C4×C7C2×D411yescharacteristic
198C22×C4×C7C2×D411yescharacteristic
199C22×C4×C7C2×D411yescharacteristic
200C22×C4×C7C2×D411yescharacteristic
201C22×C4×C7C2×D411yescharacteristic
202C22×C4×C7C2×D412yes—
203C22×C4×C7C2412yes—
204C22×C4×C7C2411yescharacteristic
205C2×C22⋊D7—24no—
206C2×C22⋊D7—82no—
207C22×Dic7—21no—
208C22×Dic7—21no—
209C22×Dic7—21no—
210C22×Dic7—21no—
211C22×Dic7—21no—
212C22×Dic7—21no—
213C22×Dic7—21no—
214C22×Dic7—24no—
215C22×Dic7—82no—
216C2×D28—22no—
217C2×D28—22no—
218C2×D28—21no—
219C2×D28C2412yes—
220C2×C4×D7—24no—
221C2×C4×D7—82no—
222C2×Dic14—22no—
223C2×Dic14—22no—
224C2×Dic14—21no—
225C2×Dic14—24no—
226C2×Dic14—24no—
227C2×Dic14—24no—
228C2×Dic14—82no—
229C2×Dic14—82no—
230C2×Dic14—82no—
231C2×Dic14C2412yes—
232C2×C7×C8—22no—
233C2×C7×C8—22no—
234C2×C7×C8—22no—
235C2×C7×C8—22no—
236C2×C7×C8C2412yes—
237C2×C7×C8C2412yes—
238C2×C7×C8C2412yes—
239C2×C7×C8C2412yes—
240C7×C4⋊C4C2×D414yes—
241C7×C4⋊C4C2×D414yes—
242C7×C22⋊C4C2×D414yes—
243C7×C22⋊C4C2×D414yes—
244C42×C7C2×D412yes—
245C42×C7C2×D412yes—
246C42×C7C2412yes—
247C42×C7C2412yes—
248C22⋊Dic7—24no—
249C22⋊Dic7—24no—
250(C2×D7)⋊C4—24no—
251(C2×D7)⋊C4—24no—
252(C2×D7)⋊C4—24no—
253(C2×D7)⋊C4—24no—
254C4⋊Dic7—21no—
255C4⋊Dic7—21no—
256C4⋊Dic7—21no—
257C4⋊Dic7—21no—
258C4⋊Dic7—21no—
259C4⋊Dic7—24no—
260C4⋊Dic7—24no—
261C4⋊Dic7—24no—
262C4⋊Dic7—21no—
263C4⋊Dic7—24no—
264C4⋊Dic7C2412yes—
265C4⋊Dic7C2412yes—
266C4⋊Dic7C2412yes—
267C4⋊Dic7C2412yes—
268C4⋊Dic7C2412yes—
269C4⋊Dic7C2412yes—
270Dic7⋊C4—24no—
271Dic7⋊C4—24no—
272Dic7⋊C4—24no—
273Dic7⋊C4—24no—
274Dic7⋊C4—24no—
275Dic7⋊C4—24no—
276C4×Dic7—24no—
277C4×Dic7—24no—
278#544—78no—
279#544—144no—
280#542—78no—
281#542—144no—
282C2×C4⋊Q8—71no—
283C2×C4⋊Q8—71no—
284C2×C4⋊Q8—71no—
285C2×C4⋊Q8—141no—
286C2×#126—141no—
287C2×#125—71no—
288C2×#125—71no—
289C2×#125—141no—
290C2×#124—71no—
291C2×#124—141no—
292C2×#123—141no—
293C2×C22⋊Q8—71no—
294C2×C22⋊Q8—141no—
295C2×C22⋊Q8—141no—
296C2×C22⋊Q8—141no—
297C2×#121—71no—
298C2×C4×Q8—71no—
299C2×C4×D4—71no—
300C2×#117—71no—
301C2×#117C2×D711yescharacteristic
302C22×C4⋊C4—71no—
303#501—78no—
304#498—78no—
305#489—78no—
306#488—78no—
307#485—78no—
308#483—78no—
309#482—78no—
310#481—78no—
311#479—78no—
312#478—78no—
313#476—78no—
314#475—78no—
315#433C2×D718yescomplemented
316C2×#107—71no—
317C2×#107—71no—
318C2×#106—71no—
319C2×#106—71no—
320C2×#106—71no—
321C2×#106—71no—
322C2×#106—71no—
323C2×#106—71no—
324C2×C4⋊C8C2×D711yescharacteristic
325C2×C4⋊C8C2×D711yescharacteristic
326C2×#103—71no—
327C2×#103—71no—
328C2×#103—71no—
329C2×#103—71no—
330C2×#102—71no—
331C2×#102—71no—
332C2×#102—71no—
333C2×#102—71no—
334C2×C22⋊C8C2×D711yescharacteristic
335C2×C22⋊C8C2×D711yescharacteristic
336C2×#97C2×D711yescharacteristic
337C2×C4×C8C2×D711yescharacteristic
338C23×C7—22no—
339C23×C7—22no—
340C23×C7—22no—
341C23×C7C22×D412yes—
342C23×C7C22×D411yescharacteristic
343C22×D7—22no—
344C22×D7—42no—
345C22×D7—42no—
346C22×D7—42no—
347C2×C4×C7—22no—
348C2×C4×C7—22no—
349C2×C4×C7—22no—
350C2×C4×C7—22no—
351C2×C4×C7—22no—
352C2×C4×C7—24no—
353C2×C4×C7—22no—
354C2×C4×C7—22no—
355C2×C4×C7C22×D412yes—
356C2×C4×C7C22×D412yes—
357C2×C4×C7C22×D412yes—
358C2×C4×C7C22×D412yes—
359C2×C4×C7C22×D412yes—
360C2×C4×C7C22×D411yescharacteristic
361C2×C4×C72−1+412yes—
362C2×C4×C72−1+412yes—
363C2×C4×C7C2511yescharacteristic
364C22⋊D7—84no—
365C2×Dic7—22no—
366C2×Dic7—22no—
367C2×Dic7—22no—
368C2×Dic7—22no—
369C2×Dic7—22no—
370C2×Dic7—22no—
371C2×Dic7—22no—
372C2×Dic7—42no—
373C2×Dic7—42no—
374C2×Dic7—42no—
375C2×Dic7—42no—
376C2×Dic7—42no—
377C2×Dic7—42no—
378C2×Dic7—42no—
379C2×Dic7—84no—
380D28—22no—
381D28—22no—
382D28—42no—
383C4×D7—84no—
384Dic14—22no—
385Dic14—22no—
386Dic14—42no—
387Dic14—84no—
388Dic14—84no—
389Dic14—84no—
390C7×C8—22no—
391C7×C8—22no—
392C7×C8—22no—
393C7×C8—22no—
394C22×Q8—71no—
395C22×Q8—141no—
396C22×Q8—141no—
397C22×Q8—141no—
398C22×D4—71no—
399C22×D4—141no—
400C23×C4—141no—
401C23×C4—141no—
402C23×C4C22×D711yescharacteristic
403C22×C8C22×D711yescharacteristic
404C22×C8C22×D711yescharacteristic
405C22×C8C22×D711yescharacteristic
406C22×C8C22×D711yescharacteristic
407C4⋊Q8—74no—
408C4⋊Q8—74no—
409C4⋊Q8—74no—
410C4⋊Q8—148no—
411C4⋊Q8—142no—
412C4⋊Q8—142no—
413C4⋊Q8—142no—
414#126—148no—
415#125—74no—
416#125—74no—
417#125—148no—
418#125—142no—
419#125—142no—
420#124—74no—
421#124—148no—
422#124—142no—
423#123—148no—
424C22⋊Q8—74no—
425C22⋊Q8—142no—
426C22⋊Q8—148no—
427C22⋊Q8—148no—
428C22⋊Q8—148no—
429#121—74no—
430#121—142no—
431C4×Q8—74no—
432C4×Q8—142no—
433C4×D4—74no—
434C4×D4—142no—
435#117—74no—
436#117—142no—
437#117D2814yes—
438#117C22×D714yes—
439C2×C4⋊C4—71no—
440C2×C4⋊C4—71no—
441C2×C4⋊C4—74no—
442C2×C4⋊C4—71no—
443C2×C4⋊C4—71no—
444C2×C4⋊C4—71no—
445C2×C4⋊C4—71no—
446C2×C4⋊C4—141no—
447C2×C4⋊C4—142no—
448C2×C4⋊C4—141no—
449C2×C4⋊C4—141no—
450C2×C4⋊C4—141no—
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⋊C4D2811yescharacteristic
458C2×C4⋊C4D2811yescharacteristic
459C2×C22⋊C4—141no—
460C2×C22⋊C4—141no—
461C2×C22⋊C4—141no—
462C2×C22⋊C4—141no—
463C2×C22⋊C4—141no—
464C2×C22⋊C4—141no—
465C2×C22⋊C4D2811yescharacteristic
466C2×C22⋊C4D2811yescharacteristic
467C2×C42—141no—
468C2×C42—141no—
469C2×C42C22×D711yescharacteristic
470C2×C42C22×D711yescharacteristic
471#107—74no—
472#107—74no—
473#106—74no—
474#106—74no—
475#106—74no—
476#106—74no—
477#106—74no—
478#106—74no—
479C4⋊C8C22×D714yes—
480C4⋊C8C22×D714yes—
481#103—74no—
482#103—74no—
483#103—74no—
484#103—74no—
485#102—74no—
486#102—74no—
487#102—74no—
488#102—74no—
489C22⋊C8C22×D714yes—
490C22⋊C8C22×D714yes—
491#97C22×D714yes—
492C4×C8C22×D714yes—
493C22×C7—22no—
494C22×C7—22no—
495C22×C7—22no—
496C22×C7—44no—
497C22×C7#53612yes—
498C22×C7#57712yes—
499C22×C7#57712yes—
500C22×C7C23×D411yescharacteristic
501C2×D7—42no—
502C2×D7—42no—
503C2×D7—42no—
504C2×D7—84no—
505C4×C7—22no—
506C4×C7—22no—
507C4×C7—22no—
508C4×C7—22no—
509C4×C7—22no—
510C4×C7#53612yes—
511C4×C7C2×2−1+411yescharacteristic
512C4×C7C2×2−1+411yescharacteristic
513Dic7—42no—
514Dic7—42no—
515Dic7—42no—
516Dic7—42no—
517Dic7—42no—
518Dic7—42no—
519Dic7—42no—
520C24—141no—
521C24C2×D2811yescharacteristic
522C2×Q8—72no—
523C2×Q8—141no—
524C2×Q8—144no—
525C2×Q8—144no—
526C2×Q8—144no—
527C2×Q8—142no—
528C2×Q8—142no—
529C2×Q8—562no—
530C2×Q8—562no—
531C2×Q8—562no—
532C2×D4—72no—
533C2×D4—144no—
534C2×D4—141no—
535C2×D4—142no—
536C2×D4—142no—
537C2×D4—562no—
538C22×C4—22no—
539C22×C4—22no—
540C22×C4—141no—
541C22×C4—141no—
542C22×C4—141no—
543C22×C4—141no—
544C22×C4—141no—
545C22×C4—141no—
546C22×C4—141no—
547C22×C4—144no—
548C22×C4—144no—
549C22×C4—562no—
550C22×C4—562no—
551C22×C4C2×D2812yes—
552C22×C4C2×D2811yescharacteristic
553C22×C4C2×D2811yescharacteristic
554C22×C4C2×D2811yescharacteristic
555C22×C4C2×D2811yescharacteristic
556C22×C4C2×D2811yescharacteristic
557C22×C4C23×D712yes—
558C22×C4C23×D711yescharacteristic
559C2×C8—22no—
560C2×C8—22no—
561C2×C8—22no—
562C2×C8—22no—
563C2×C8C23×D712yes—
564C2×C8C23×D712yes—
565C2×C8C23×D712yes—
566C2×C8C23×D712yes—
567C4⋊C4—72no—
568C4⋊C4—72no—
569C4⋊C4—72no—
570C4⋊C4—72no—
571C4⋊C4—72no—
572C4⋊C4—72no—
573C4⋊C4—144no—
574C4⋊C4—144no—
575C4⋊C4—144no—
576C4⋊C4—144no—
577C4⋊C4—144no—
578C4⋊C4—144no—
579C4⋊C4—144no—
580C4⋊C4—141no—
581C4⋊C4—141no—
582C4⋊C4—141no—
583C4⋊C4—141no—
584C4⋊C4—141no—
585C4⋊C4—141no—
586C4⋊C4—144no—
587C4⋊C4—144no—
588C4⋊C4—144no—
589C4⋊C4C2×D2814yes—
590C4⋊C4C2×D2814yes—
591C22⋊C4—144no—
592C22⋊C4—144no—
593C22⋊C4—144no—
594C22⋊C4—144no—
595C22⋊C4—144no—
596C22⋊C4—144no—
597C22⋊C4C2×D2814yes—
598C22⋊C4C2×D2814yes—
599C42—144no—
600C42—144no—
601C42C2×D2812yes—
602C42C2×D2812yes—
603C42C23×D712yes—
604C42C23×D712yes—
605C2×C7—42no—
606C2×C7#324414yescomplemented
607C2×C7C2×#53611yescharacteristic
608C2×C7C2×#57711yescharacteristic
609C2×C7C2×#57711yescharacteristic
610D7—82no—
611C23—22no—
612C23—22no—
613C23—22no—
614C23—142no—
615C23—282no—
616C23—282no—
617C23—282no—
618C23C22×D2812yes—
619C23C22×D2811yescharacteristic
620Q8—142no—
621Q8—142no—
622Q8—282no—
623Q8—564no—
624Q8—564no—
625Q8—564no—
626D4—142no—
627D4—142no—
628D4—282no—
629D4—564no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—24no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—142no—
639C2×C4—142no—
640C2×C4—142no—
641C2×C4—142no—
642C2×C4—142no—
643C2×C4—142no—
644C2×C4—142no—
645C2×C4—282no—
646C2×C4—282no—
647C2×C4—282no—
648C2×C4—282no—
649C2×C4—282no—
650C2×C4—282no—
651C2×C4—282no—
652C2×C4—564no—
653C2×C4—564no—
654C2×C4C22×D2812yes—
655C2×C4C22×D2812yes—
656C2×C4C22×D2812yes—
657C2×C4C22×D2812yes—
658C2×C4C22×D2812yes—
659C2×C4C22×D2811yescharacteristic
660C2×C4#655412yes—
661C2×C4#655412yes—
662C2×C4C24×D711yescharacteristic
663C8—22no—
664C8—22no—
665C8—22no—
666C8—22no—
667C7C2×#324411yescharacteristic, complemented, Sylow
668C22—22no—
669C22—22no—
670C22—22no—
671C22—44no—
672C22—282no—
673C22—282no—
674C22—282no—
675C22—564no—
676C22#9021712yes—
677C22#9044212yes—
678C22#9044212yes—
679C22C23×D2811yescharacteristic
680C4—22no—
681C4—22no—
682C4—22no—
683C4—22no—
684C4—22no—
685C4—282no—
686C4—282no—
687C4—282no—
688C4—282no—
689C4—282no—
690C4—282no—
691C4—282no—
692C4#9021712yes—
693C4C2×#655411yescharacteristic
694C4C2×#655411yescharacteristic
695C2—42no—
696C2—562no—
697C2#1173681014yesdirect product factor
698C2C2×#9021711yescharacteristic
699C2C2×#9044211yescharacteristic
700C2C2×#9044211yescharacteristic
subgroupG/H
centerC23C22×D28
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C7×#433C2
socleC23×C7C22×D4
prime radicalC2×#6493C22
hypercenterC2×#433D7
hypocenterC7C2×#3244
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#433

Complements

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

NH ≅ G/Ntype
2. C2×#90210C2semidirect
3. C2×C7×#433C2semidirect
4. #11736810C2direct (N × H)
5. C2×#89601C2semidirect
6. C2×#89623C2semidirect
7. C2×#89619C2semidirect
8. C2×#89614C2semidirect
10. C2×#89495C2semidirect
12. C2×#89493C2semidirect
13. C2×#89486C2semidirect
14. C2×#89474C2semidirect
15. C2×#89469C2semidirect
16. C2×#89452C2semidirect
25. #90210C22semidirect
42. C7×#433C22semidirect
65. #89623C22semidirect
66. #89619C22semidirect
67. #89614C22semidirect
68. #89601C22semidirect
71. #89495C22semidirect
72. #89493C22semidirect
73. #89486C22semidirect
74. #89474C22semidirect
75. #89469C22semidirect
76. #89452C22semidirect
192. C2×#433D7semidirect
315. #433C2×D7semidirect
606. C2×C7#3244semidirect
667. C7C2×#3244semidirect
697. C2#11736810direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#902252
C2×#902102
C2×C7×#4332
#117368102
C2×#896012
C2×#896232
C2×#896192
C2×#896142
C2×#895072
C2×#894952
C2×#895092
C2×#894932
C2×#894862
C2×#894742
C2×#894692
C2×#894522
C2×#32447