Finite Group Databasebeta

← C2×#11738761 #14225989

Subgroups — C2×#11738761 #14225989

Order 1792.

1806 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90310C211yesmaximal, characteristic
2C2×#90191C211yesmaximal, characteristic, complemented
3C2×C7×#481C211yesmaximal, characteristic, complemented
4C2×#89807C211yesmaximal, characteristic, complemented
5C2×#89739C211yesmaximal, characteristic, complemented
6#11738761C2116yesmaximal, direct product factor
7C2×#89643C211yesmaximal, characteristic, complemented
8C2×#89642C211yesmaximal, characteristic, complemented
9C2×#89628C211yesmaximal, characteristic, complemented
10C2×#89630C211yesmaximal, characteristic, complemented
11C2×#89536C211yesmaximal, characteristic, complemented
12C2×#89532C211yesmaximal, characteristic, complemented
13C2×#89535C211yesmaximal, characteristic, complemented
14C2×#89531C211yesmaximal, characteristic, complemented
15C2×#89509C211yesmaximal, characteristic, complemented
16C2×#89492C211yesmaximal, characteristic, complemented
17C2×C7×#121C2211yescharacteristic
18C22×C7×C4⋊C4C2211yescharacteristic
19C2×#6503C2211yescharacteristic
20C2×#6502—21no—
21C2×#6501—21no—
22C2×D4×Dic7C2211yescharacteristic
23C2×#6493C2211yescharacteristic
24C2×#6489C2211yescharacteristic
25C2×#6489C2211yescharacteristic
26C2×#6487—21no—
27C2×#6487—21no—
28#90310—24no—
29#90310C2218yes—
30C2×#6456C2211yescharacteristic
31#90191—24no—
32#90191C2218yescomplemented
33C2×#6453—21no—
34C2×#6453C2211yescharacteristic
35C2×#6453C2211yescharacteristic
36C2×#6453C2211yescharacteristic
37C2×#6451—21no—
38C2×#6451C2211yescharacteristic
39C2×#6451C2211yescharacteristic
40C2×#6449—21no—
41C2×#6446—21no—
42C7×#481C2218yescomplemented
43C2×C7×#106C2211yescharacteristic
44C2×C7×#106C2211yescharacteristic
45C2×C7×#102C2211yescharacteristic
46C2×C7×#102C2211yescharacteristic
47C2×C7×C22⋊C8C2211yescharacteristic
48C2×#6406C2211yescharacteristic
49C2×#6406C2211yescharacteristic
50C2×C22⋊(C7⋊C8)C2211yescharacteristic
51C2×#6395C2211yescharacteristic
52C2×#6395C2211yescharacteristic
53C2×#6392C2211yescharacteristic
54C2×#6391C2211yescharacteristic
55C2×#6389C2211yescharacteristic
56C2×Dic7⋊C8C2211yescharacteristic
57C2×Dic7⋊C8C2211yescharacteristic
58C2×C8×Dic7C2211yescharacteristic
59#89807C2218yescomplemented
60#89739C2218yescomplemented
61C2×#6383C2211yescharacteristic
62C2×#6383C2211yescharacteristic
63C2×#6382C2211yescharacteristic
64C2×#6381C2211yescharacteristic
65C2×#6381C2211yescharacteristic
66C2×#6381C2211yescharacteristic
67#89643C2218yescomplemented
68#89642C2218yescomplemented
69#89630C2218yescomplemented
70#89628C2218yescomplemented
71#89536C2218yescomplemented
72#89535C2218yescomplemented
73#89532C2218yescomplemented
74#89531C2218yescomplemented
75#89509C2218yescomplemented
76#89492C2218yescomplemented
77C2×#3241—71nomaximal, Sylow
78C22×C7×D4—21no—
79C22×C7×D4C2311yescharacteristic
80C23×C4×C7—21no—
81C23×C4×C7C2311yescharacteristic
82C22×C22⋊D7—21no—
83C22×C22⋊D7—21no—
84C22×C22⋊D7—21no—
85C23×Dic7—21no—
86C22×D28C2311yescharacteristic
87C22×C4×D7—21no—
88C22×Dic14—21no—
89C22×Dic14—21no—
90C22×C7×C8C2311yescharacteristic
91C22×C7×C8C2311yescharacteristic
92C7×#121—22no—
93C7×#121C2314yes—
94C2×C7×C4⋊C4—21no—
95C2×C7×C4⋊C4—22no—
96C2×C7×C4⋊C4C2314yes—
97C2×C7×C4⋊C4C2311yescharacteristic
98C2×C7×C4⋊C4C2311yescharacteristic
99C2×C7×C4⋊C4C2311yescharacteristic
100C2×C7×C22⋊C4—21no—
101C2×C22⋊Dic7—21no—
102C2×C22⋊Dic7—21no—
103C2×C22⋊Dic7D411yescharacteristic
104C2×C22⋊Dic7D411yescharacteristic
105#6503—22no—
106#6503C2314yes—
107#6502—28no—
108#6501—28no—
109D4×Dic7—22no—
110D4×Dic7C2314yes—
111#6493—22no—
112#6493C2314yes—
113C2×(C2×D7)⋊C4—21no—
114C2×(C2×D7)⋊C4—21no—
115#6489—22no—
116#6489D414yes—
117#6489C2314yes—
118#6489C2314yes—
119C2×C4⋊Dic7—21no—
120C2×C4⋊Dic7—21no—
121C2×C4⋊Dic7—21no—
122C2×C4⋊Dic7D411yescharacteristic
123C2×C4⋊Dic7D411yescharacteristic
124C2×C4⋊Dic7C2311yescharacteristic
125C2×C4⋊Dic7C2311yescharacteristic
126C2×C4⋊Dic7C2311yescharacteristic
127#6487—28no—
128#6487—28no—
129C2×Dic7⋊C4—21no—
130C2×Dic7⋊C4—21no—
131C2×Dic7⋊C4—21no—
132C2×Dic7⋊C4—21no—
133C2×Dic7⋊C4—21no—
134C2×C4×Dic7—21no—
135C2×C4×Dic7C2311yescharacteristic
136C2×C4×Dic7C2311yescharacteristic
137C22×C7⋊C8C2311yescharacteristic
138C22×C7⋊C8C2311yescharacteristic
139#6456—22no—
140#6456C2314yes—
141#6453—28no—
142#6453—22no—
143#6453—22no—
144#6453—22no—
145#6453C2314yes—
146#6453C2314yes—
147#6453C2314yes—
148#6451—28no—
149#6451—22no—
150#6451—22no—
151#6451C2314yes—
152#6451C2314yes—
153#6449—28no—
154#6446—28no—
155C7×#106C2314yes—
156C7×#106C2314yes—
157C7×#102C2314yes—
158C7×#102C2314yes—
159C7×C22⋊C8C2314yes—
160#6406C2314yes—
161#6406C2314yes—
162C22⋊(C7⋊C8)C2314yes—
163#6395C2314yes—
164#6395C2314yes—
165#6392C2314yes—
166#6391C2314yes—
167#6389C2314yes—
168Dic7⋊C8C2314yes—
169Dic7⋊C8C2314yes—
170C8×Dic7C2314yes—
171#6383C2314yes—
172#6383C2314yes—
173#6382C2314yes—
174#6381C2314yes—
175#6381C2314yes—
176#6381C2314yes—
177C2×#544—71no—
178C2×#540—71no—
179#3241—716no—
180C2×#501—71no—
181C2×#499—71no—
182C2×#490—71no—
183C2×#486—71no—
184C2×#481D711yescharacteristic, complemented
185C2×#482—71no—
186C2×#482—71no—
187C2×#480—71no—
188C2×#478—71no—
189C2×#478—71no—
190C2×#476—71no—
191C2×#474—71no—
192C2×#433—71no—
193C24×C7—21no—
194C24×C7C2×D411yescharacteristic
195C23×D7—21no—
196C2×C7×D4—24no—
197C2×C7×D4—21no—
198C2×C7×D4—22no—
199C2×C7×D4—22no—
200C2×C7×D4—82no—
201C2×C7×D4C2412yes—
202C22×C4×C7—22no—
203C22×C4×C7—22no—
204C22×C4×C7—21no—
205C22×C4×C7—21no—
206C22×C4×C7—21no—
207C22×C4×C7—24no—
208C22×C4×C7—82no—
209C22×C4×C7C2×D411yescharacteristic
210C22×C4×C7C2×D412yes—
211C22×C4×C7C2412yes—
212C22×C4×C7C2411yescharacteristic
213C2×C22⋊D7—24no—
214C2×C22⋊D7—24no—
215C2×C22⋊D7—24no—
216C2×C22⋊D7—82no—
217C2×C22⋊D7—82no—
218C2×C22⋊D7—82no—
219C22×Dic7—21no—
220C22×Dic7—21no—
221C22×Dic7—21no—
222C22×Dic7—24no—
223C22×Dic7—82no—
224C22×Dic7C2×D411yescharacteristic
225C22×Dic7C2×D411yescharacteristic
226C22×Dic7C2×D411yescharacteristic
227C22×Dic7C2×D411yescharacteristic
228C2×D28—22no—
229C2×D28—22no—
230C2×D28—21no—
231C2×D28C2412yes—
232C2×C4×D7—24no—
233C2×C4×D7—82no—
234C2×Dic14—24no—
235C2×Dic14—24no—
236C2×Dic14—82no—
237C2×Dic14—82no—
238C2×C7×C8—22no—
239C2×C7×C8—22no—
240C2×C7×C8C2412yes—
241C2×C7×C8C2412yes—
242C7×C4⋊C4—24no—
243C7×C4⋊C4—21no—
244C7×C4⋊C4—21no—
245C7×C4⋊C4—21no—
246C7×C4⋊C4C2412yes—
247C7×C4⋊C4C2412yes—
248C7×C4⋊C4C2412yes—
249C7×C22⋊C4—24no—
250C22⋊Dic7—24no—
251C22⋊Dic7—24no—
252C22⋊Dic7C2×D414yes—
253C22⋊Dic7C2×D414yes—
254(C2×D7)⋊C4—24no—
255(C2×D7)⋊C4—24no—
256C4⋊Dic7—21no—
257C4⋊Dic7—21no—
258C4⋊Dic7—21no—
259C4⋊Dic7—24no—
260C4⋊Dic7—24no—
261C4⋊Dic7—24no—
262C4⋊Dic7C2×D414yes—
263C4⋊Dic7C2×D414yes—
264C4⋊Dic7C2412yes—
265C4⋊Dic7C2412yes—
266C4⋊Dic7C2412yes—
267Dic7⋊C4—24no—
268Dic7⋊C4—24no—
269Dic7⋊C4—24no—
270Dic7⋊C4—24no—
271Dic7⋊C4—24no—
272C4×Dic7—24no—
273C4×Dic7C2×D412yes—
274C4×Dic7C2×D412yes—
275C4×Dic7C2412yes—
276C4×Dic7C2412yes—
277C2×C7⋊C8—22no—
278C2×C7⋊C8—22no—
279C2×C7⋊C8C2412yes—
280C2×C7⋊C8C2412yes—
281#544—78no—
282#544—144no—
283#540—78no—
284#540—144no—
285C2×C4⋊Q8—71no—
286C2×C4⋊Q8—71no—
287C2×C4⋊Q8—141no—
288C2×#127—71no—
289C2×#125—71no—
290C2×#125—71no—
291C2×#125—71no—
292C2×#125—141no—
293C2×#123—141no—
294C2×#123—141no—
295C2×C22⋊Q8—141no—
296C2×C22⋊Q8—141no—
297C2×#121—71no—
298C2×#121—141no—
299C2×#121—141no—
300C2×#121C2×D711yescharacteristic
301C2×C4×D4—71no—
302C2×C4×D4—71no—
303C2×#117—71no—
304C2×#117—71no—
305C22×C4⋊C4C2×D711yescharacteristic
306#501—78no—
307#499—78no—
308#490—78no—
309#486—78no—
310#482—78no—
311#482—78no—
312#481C2×D718yescomplemented
313#480—78no—
314#478—78no—
315#478—78no—
316#476—78no—
317#474—78no—
318#433—78no—
319C2×#107—71no—
320C2×#107—71no—
321C2×#107—71no—
322C2×#107—71no—
323C2×#106—71no—
324C2×#106—71no—
325C2×#106C2×D711yescharacteristic
326C2×#106C2×D711yescharacteristic
327C2×C4⋊C8—71no—
328C2×C4⋊C8—71no—
329C2×#102—71no—
330C2×#102—71no—
331C2×#102—71no—
332C2×#102—71no—
333C2×#102—71no—
334C2×#102—71no—
335C2×#102C2×D711yescharacteristic
336C2×#102C2×D711yescharacteristic
337C2×C22⋊C8—71no—
338C2×C22⋊C8C2×D711yescharacteristic
339C2×#97—71no—
340C2×C4×C8—71no—
341C23×C7—22no—
342C23×C7—22no—
343C23×C7—22no—
344C23×C7—22no—
345C23×C7—42no—
346C23×C7—42no—
347C23×C7—42no—
348C23×C7C22×D412yes—
349C23×C7C22×D411yescharacteristic
350C22×D7—22no—
351C22×D7—42no—
352C22×D7—42no—
353C22×D7—42no—
354C7×D4—22no—
355C7×D4—22no—
356C7×D4—42no—
357C7×D4—84no—
358C2×C4×C7—22no—
359C2×C4×C7—24no—
360C2×C4×C7—22no—
361C2×C4×C7—22no—
362C2×C4×C7—22no—
363C2×C4×C7—22no—
364C2×C4×C7—22no—
365C2×C4×C7—42no—
366C2×C4×C7—42no—
367C2×C4×C7—42no—
368C2×C4×C7—84no—
369C2×C4×C7C22×D412yes—
370C2×C4×C7C22×D411yescharacteristic
371C2×C4×C72−1+412yes—
372C2×C4×C72−1+412yes—
373C2×C4×C7C2511yescharacteristic
374C22⋊D7—84no—
375C22⋊D7—84no—
376C22⋊D7—84no—
377C2×Dic7—22no—
378C2×Dic7—22no—
379C2×Dic7—22no—
380C2×Dic7—22no—
381C2×Dic7—22no—
382C2×Dic7—22no—
383C2×Dic7—22no—
384C2×Dic7—42no—
385C2×Dic7—42no—
386C2×Dic7—42no—
387C2×Dic7—84no—
388C2×Dic7C22×D412yes—
389C2×Dic7C22×D412yes—
390C2×Dic7C22×D412yes—
391C2×Dic7C22×D412yes—
392D28—22no—
393D28—22no—
394D28—42no—
395C4×D7—84no—
396Dic14—84no—
397Dic14—84no—
398C7×C8—22no—
399C7×C8—22no—
400C7⋊C8—22no—
401C7⋊C8—22no—
402C22×Q8—141no—
403C22×Q8—141no—
404C22×D4—21no—
405C22×D4—71no—
406C22×D4—141no—
407C22×D4—141no—
408C22×D4—141no—
409C22×D4C22×D711yescharacteristic
410C23×C4—21no—
411C23×C4—141no—
412C23×C4—141no—
413C23×C4C22×D711yescharacteristic
414C22×C8—71no—
415C22×C8—71no—
416C22×C8C22×D711yescharacteristic
417C22×C8C22×D711yescharacteristic
418C4⋊Q8—74no—
419C4⋊Q8—74no—
420C4⋊Q8—142no—
421C4⋊Q8—142no—
422C4⋊Q8—148no—
423#127—74no—
424#127—142no—
425#125—74no—
426#125—74no—
427#125—74no—
428#125—142no—
429#125—142no—
430#125—142no—
431#125—148no—
432#123—148no—
433#123—148no—
434C22⋊Q8—148no—
435C22⋊Q8—148no—
436#121—22no—
437#121—74no—
438#121—148no—
439#121—148no—
440#121—142no—
441#121C22×D714yes—
442C4×D4—74no—
443C4×D4—74no—
444C4×D4—142no—
445C4×D4—142no—
446#117—74no—
447#117—74no—
448#117—74no—
449#117—142no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—22no—
452C2×C4⋊C4—71no—
453C2×C4⋊C4—71no—
454C2×C4⋊C4—71no—
455C2×C4⋊C4—71no—
456C2×C4⋊C4—71no—
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⋊C4—141no—
464C2×C4⋊C4—141no—
465C2×C4⋊C4C22×D711yescharacteristic
466C2×C4⋊C4C22×D711yescharacteristic
467C2×C4⋊C4C22×D714yes—
468C2×C4⋊C4C22×D711yescharacteristic
469C2×C22⋊C4—21no—
470C2×C22⋊C4—71no—
471C2×C22⋊C4—71no—
472C2×C22⋊C4—141no—
473C2×C22⋊C4—141no—
474C2×C22⋊C4—141no—
475C2×C22⋊C4—141no—
476C2×C42—71no—
477C2×C42—71no—
478C2×C42—141no—
479#107—74no—
480#107—74no—
481#107—74no—
482#107—74no—
483#106—74no—
484#106—74no—
485#106C22×D714yes—
486#106C22×D714yes—
487C4⋊C8—74no—
488C4⋊C8—74no—
489#102—74no—
490#102—74no—
491#102—74no—
492#102—74no—
493#102—74no—
494#102—74no—
495#102C22×D714yes—
496#102C22×D714yes—
497C22⋊C8—74no—
498C22⋊C8C22×D714yes—
499#97—74no—
500C4×C8—74no—
501C22×C7—22no—
502C22×C7—22no—
503C22×C7—22no—
504C22×C7—44no—
505C22×C7—42no—
506C22×C7—42no—
507C22×C7—42no—
508C22×C7—84no—
509C22×C7#53612yes—
510C22×C7#57612yes—
511C22×C7#57712yes—
512C22×C7C23×D411yescharacteristic
513C2×D7—42no—
514C2×D7—42no—
515C2×D7—42no—
516C2×D7—84no—
517C4×C7—22no—
518C4×C7—42no—
519C4×C7—42no—
520C4×C7—42no—
521C4×C7#53612yes—
522C4×C7C2×2−1+411yescharacteristic
523C4×C7C2×2−1+411yescharacteristic
524Dic7—22no—
525Dic7—22no—
526Dic7—22no—
527Dic7—22no—
528Dic7—42no—
529Dic7—42no—
530Dic7—42no—
531C24—21no—
532C24—141no—
533C24D4×D711yescharacteristic
534C2×Q8—144no—
535C2×Q8—144no—
536C2×Q8—562no—
537C2×Q8—562no—
538C2×D4—24no—
539C2×D4—21no—
540C2×D4—22no—
541C2×D4—22no—
542C2×D4—72no—
543C2×D4—82no—
544C2×D4—144no—
545C2×D4—144no—
546C2×D4—144no—
547C2×D4—141no—
548C2×D4—142no—
549C2×D4—142no—
550C2×D4—562no—
551C2×D4—562no—
552C2×D4—562no—
553C2×D4C23×D712yes—
554C22×C4—22no—
555C22×C4—22no—
556C22×C4—21no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—24no—
560C22×C4—71no—
561C22×C4—71no—
562C22×C4—71no—
563C22×C4—71no—
564C22×C4—82no—
565C22×C4—144no—
566C22×C4—144no—
567C22×C4—141no—
568C22×C4—141no—
569C22×C4—141no—
570C22×C4—562no—
571C22×C4—562no—
572C22×C4D4×D712yes—
573C22×C4D4×D711yescharacteristic
574C22×C4C23×D712yes—
575C22×C4C23×D711yescharacteristic
576C2×C8—22no—
577C2×C8—22no—
578C2×C8—72no—
579C2×C8—72no—
580C2×C8—142no—
581C2×C8—142no—
582C2×C8C23×D712yes—
583C2×C8C23×D712yes—
584C4⋊C4—24no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—74no—
589C4⋊C4—74no—
590C4⋊C4—72no—
591C4⋊C4—72no—
592C4⋊C4—72no—
593C4⋊C4—144no—
594C4⋊C4—144no—
595C4⋊C4—144no—
596C4⋊C4—144no—
597C4⋊C4—144no—
598C4⋊C4—144no—
599C4⋊C4—144no—
600C4⋊C4—144no—
601C4⋊C4—141no—
602C4⋊C4—141no—
603C4⋊C4—141no—
604C4⋊C4C23×D712yes—
605C4⋊C4C23×D712yes—
606C4⋊C4C23×D712yes—
607C22⋊C4—24no—
608C22⋊C4—74no—
609C22⋊C4—74no—
610C22⋊C4—144no—
611C22⋊C4—144no—
612C22⋊C4—144no—
613C22⋊C4—144no—
614C42—72no—
615C42—72no—
616C42—72no—
617C42—72no—
618C42—144no—
619C2×C7—42no—
620C2×C7—82no—
621C2×C7#324114yescomplemented
622C2×C7C2×#53611yescharacteristic
623C2×C7C2×#57611yescharacteristic
624C2×C7C2×#57711yescharacteristic
625D7—82no—
626C23—22no—
627C23—22no—
628C23—22no—
629C23—22no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—142no—
634C23—282no—
635C23—282no—
636C23—282no—
637C23C2×D4×D712yes—
638C23C2×D4×D711yescharacteristic
639Q8—564no—
640Q8—564no—
641D4—22no—
642D4—22no—
643D4—42no—
644D4—84no—
645D4—142no—
646D4—142no—
647D4—282no—
648D4—564no—
649D4—564no—
650D4—564no—
651C2×C4—22no—
652C2×C4—24no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—72no—
662C2×C4—72no—
663C2×C4—72no—
664C2×C4—72no—
665C2×C4—84no—
666C2×C4—142no—
667C2×C4—142no—
668C2×C4—142no—
669C2×C4—142no—
670C2×C4—142no—
671C2×C4—142no—
672C2×C4—142no—
673C2×C4—282no—
674C2×C4—282no—
675C2×C4—282no—
676C2×C4—564no—
677C2×C4—564no—
678C2×C4C2×D4×D712yes—
679C2×C4C2×D4×D711yescharacteristic
680C2×C4#655412yes—
681C2×C4#655412yes—
682C2×C4C24×D711yescharacteristic
683C8—22no—
684C8—22no—
685C8—142no—
686C8—142no—
687C7C2×#324111yescharacteristic, complemented, Sylow
688C22—22no—
689C22—22no—
690C22—22no—
691C22—44no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—84no—
696C22—282no—
697C22—282no—
698C22—282no—
699C22—564no—
700C22#9033912yes—
701C22#9045312yes—
702C22#9046512yes—
703C22C22×D4×D711yescharacteristic
704C4—22no—
705C4—42no—
706C4—42no—
707C4—42no—
708C4—142no—
709C4—142no—
710C4—142no—
711C4—142no—
712C4—282no—
713C4—282no—
714C4—282no—
715C4#9033912yes—
716C4C2×#655411yescharacteristic
717C4C2×#655411yescharacteristic
718C2—42no—
719C2—82no—
720C2—562no—
721C2#1173876114yesdirect product factor
722C2C2×#9033911yescharacteristic
723C2C2×#9045311yescharacteristic
724C2C2×#9046511yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C7×#481C2
socleC23×C7C22×D4
prime radicalC2×#90310C2
hypercenterC2×#481D7
hypocenterC7C2×#3241
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#481

Complements

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

NH ≅ G/Ntype
2. C2×#90191C2semidirect
3. C2×C7×#481C2semidirect
4. C2×#89807C2semidirect
5. C2×#89739C2semidirect
6. #11738761C2direct (N × H)
7. C2×#89643C2semidirect
8. C2×#89642C2semidirect
9. C2×#89628C2semidirect
10. C2×#89630C2semidirect
11. C2×#89536C2semidirect
12. C2×#89532C2semidirect
13. C2×#89535C2semidirect
14. C2×#89531C2semidirect
15. C2×#89509C2semidirect
16. C2×#89492C2semidirect
32. #90191C22semidirect
42. C7×#481C22semidirect
59. #89807C22semidirect
60. #89739C22semidirect
67. #89643C22semidirect
68. #89642C22semidirect
69. #89630C22semidirect
70. #89628C22semidirect
71. #89536C22semidirect
72. #89535C22semidirect
73. #89532C22semidirect
74. #89531C22semidirect
75. #89509C22semidirect
76. #89492C22semidirect
184. C2×#481D7semidirect
312. #481C2×D7semidirect
621. C2×C7#3241semidirect
687. C7C2×#3241semidirect
721. C2#11738761direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#903102
C2×#901912
C2×C7×#4812
C2×#898072
C2×#897392
#117387612
C2×#896432
C2×#896422
C2×#896282
C2×#896302
C2×#895362
C2×#895322
C2×#895352
C2×#895312
C2×#895092
C2×#894922
C2×#32417