Finite Group Databasebeta

← C2×#11737299 #14233562

Subgroups — C2×#11737299 #14233562

Order 1792.

1886 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90233C211yesmaximal, characteristic, complemented
2C2×#90230C211yesmaximal, characteristic, complemented
3C2×C7×#442C211yesmaximal, characteristic
4C2×#89925C211yesmaximal, characteristic
5C2×#89925C211yesmaximal, characteristic
6C2×#89791C211yesmaximal, characteristic, complemented
7C2×#89781C211yesmaximal, characteristic, complemented
8#11737299C2116yesmaximal, direct product factor
9C2×#89629C211yesmaximal, characteristic, complemented
10C2×#89626C211yesmaximal, characteristic, complemented
11C2×#89537C211yesmaximal, characteristic, complemented
12C2×#89540C211yesmaximal, characteristic, complemented
13C2×#89529C211yesmaximal, characteristic, complemented
14C2×#89530C211yesmaximal, characteristic, complemented
15C2×#89475C211yesmaximal, characteristic, complemented
16C2×#89473C211yesmaximal, characteristic, complemented
17C22×C7×D8C2211yescharacteristic
18C2×C4×C7×D4C2211yescharacteristic
19C2×C4×C7×D4C2211yescharacteristic
20C2×#6499C2211yescharacteristic
21C2×#6499C2211yescharacteristic
22C2×D4×Dic7C2211yescharacteristic
23C2×D4×Dic7C2211yescharacteristic
24C22×#1142C2211yescharacteristic
25C22×#1142C2211yescharacteristic
26C2×#6489—21no—
27C2×#6487—21no—
28C2×#6487—21no—
29C22×Dic7⋊C4—21no—
30#90233—24no—
31#90233C2218yescomplemented
32#90230—24no—
33#90230C2218yescomplemented
34C2×#6453C2211yescharacteristic
35C2×#6451C2211yescharacteristic
36C2×#6450C2211yescharacteristic
37C2×#6450C2211yescharacteristic
38C2×#6442—21no—
39C2×#6442—21no—
40C2×#6441—21no—
41C2×#6441—21no—
42C2×#6433C2211yescharacteristic
43C2×#6432C2211yescharacteristic
44C2×C4×Dic14C2211yescharacteristic
45C7×#442C2218yes—
46C2×C7×#106C2211yescharacteristic
47C2×C7×#102C2211yescharacteristic
48C2×C7×#102C2211yescharacteristic
49C2×C7×#97C2211yescharacteristic
50C2×#6406C2211yescharacteristic
51C2×#6406C2211yescharacteristic
52#89925C2218yes—
53#89925C2218yes—
54C2×#6390C2211yescharacteristic
55C2×#6390C2211yescharacteristic
56C2×#6390C2211yescharacteristic
57C2×#6390C2211yescharacteristic
58C2×#6389C2211yescharacteristic
59C2×Dic7⋊C8C2211yescharacteristic
60C2×Dic7⋊C8C2211yescharacteristic
61C2×C8×Dic7C2211yescharacteristic
62#89791C2218yescomplemented
63#89781C2218yescomplemented
64C2×#6384C2211yescharacteristic
65C2×#6384C2211yescharacteristic
66C2×#6382C2211yescharacteristic
67C2×#6381C2211yescharacteristic
68C2×C4⋊(C7⋊C8)C2211yescharacteristic
69#89629C2218yescomplemented
70#89626C2218yescomplemented
71#89540C2218yescomplemented
72#89537C2218yescomplemented
73#89530C2218yescomplemented
74#89529C2218yescomplemented
75#89475C2218yescomplemented
76#89473C2218yescomplemented
77C2×#3376—71nomaximal, Sylow
78C22×C7×D4C2311yescharacteristic
79C22×C7×D4C2311yescharacteristic
80C23×C4×C7—21no—
81C23×C4×C7—21no—
82C23×Dic7—21no—
83C23×Dic7—21no—
84C22×Dic14—21no—
85C22×Dic14D411yescharacteristic
86C22×Dic14C2311yescharacteristic
87C22×Dic14C2311yescharacteristic
88C2×C7×D8—24no—
89C2×C7×D8C2314yes—
90C22×C7×C8C2311yescharacteristic
91C22×C7×C8C2311yescharacteristic
92C4×C7×D4—22no—
93C4×C7×D4—22no—
94C4×C7×D4C2314yes—
95C4×C7×D4C2314yes—
96C2×C7×C4⋊C4C2311yescharacteristic
97C2×C7×C4⋊C4C2311yescharacteristic
98C2×C7×C22⋊C4—21no—
99C2×C7×C22⋊C4—21no—
100C2×C42×C7C2311yescharacteristic
101C2×C22⋊Dic7—21no—
102C2×C22⋊Dic7—21no—
103C2×C22⋊Dic7—21no—
104C2×C22⋊Dic7—21no—
105C2×C22⋊Dic7—21no—
106C2×C22⋊Dic7—21no—
107#6499—22no—
108#6499—22no—
109#6499C2314yes—
110#6499C2314yes—
111D4×Dic7—22no—
112D4×Dic7—22no—
113D4×Dic7C2314yes—
114D4×Dic7C2314yes—
115C2×#1142—24no—
116C2×#1142—24no—
117C2×#1142C2314yes—
118C2×#1142C2314yes—
119#6489—28no—
120C2×C4⋊Dic7—21no—
121C2×C4⋊Dic7—21no—
122C2×C4⋊Dic7—21no—
123C2×C4⋊Dic7D411yescharacteristic
124C2×C4⋊Dic7C2311yescharacteristic
125C2×C4⋊Dic7C2311yescharacteristic
126#6487—28no—
127#6487—28no—
128C2×Dic7⋊C4—21no—
129C2×Dic7⋊C4—21no—
130C2×Dic7⋊C4—21no—
131C2×Dic7⋊C4—21no—
132C2×Dic7⋊C4—21no—
133C2×Dic7⋊C4—21no—
134C2×Dic7⋊C4—28no—
135C2×Dic7⋊C4D411yescharacteristic
136C2×Dic7⋊C4D411yescharacteristic
137C2×C4×Dic7—21no—
138C2×C4×Dic7—21no—
139C2×C4×Dic7C2311yescharacteristic
140C2×C4×Dic7C2311yescharacteristic
141C22×C7⋊C8C2311yescharacteristic
142C22×C7⋊C8C2311yescharacteristic
143#6453—22no—
144#6453C2314yes—
145#6451—22no—
146#6451C2314yes—
147#6450—22no—
148#6450—22no—
149#6450C2314yes—
150#6450C2314yes—
151#6442—28no—
152#6442—28no—
153#6441—28no—
154#6441—28no—
155#6433—22no—
156#6433C2314yes—
157#6432—22no—
158#6432C2314yes—
159C4×Dic14D414yes—
160C4×Dic14C2314yes—
161C7×#106C2314yes—
162C7×#102C2314yes—
163C7×#102C2314yes—
164C7×#97C2314yes—
165#6406C2314yes—
166#6406C2314yes—
167#6390C2314yes—
168#6390C2314yes—
169#6390C2314yes—
170#6390C2314yes—
171#6389C2314yes—
172Dic7⋊C8C2314yes—
173Dic7⋊C8C2314yes—
174C8×Dic7C2314yes—
175#6384C2314yes—
176#6384C2314yes—
177#6382C2314yes—
178#6381C2314yes—
179C4⋊(C7⋊C8)C2314yes—
180C2×#556—71no—
181C2×#554—71no—
182#3376—716no—
183C2×#491—71no—
184C2×#489—71no—
185C2×#488—71no—
186C2×#479—71no—
187C2×#475—71no—
188C2×#478—71no—
189C2×#463—71no—
190C2×#463—71no—
191C2×#461—71no—
192C2×#446—71no—
193C2×#442D711yescharacteristic
194C2×#440—71no—
195C2×C4×SD16—71no—
196C24×C7—21no—
197C24×C7—21no—
198C2×C7×D4—21no—
199C2×C7×D4—21no—
200C2×C7×D4—22no—
201C2×C7×D4—22no—
202C2×C7×D4—22no—
203C2×C7×D4#4114yes—
204C2×C7×D4C2412yes—
205C2×C7×D4C2412yes—
206C22×C4×C7—21no—
207C22×C4×C7—21no—
208C22×C4×C7—24no—
209C22×C4×C7—24no—
210C22×C4×C7—44no—
211C22×C4×C7—82no—
212C22×C4×C7C2×D411yescharacteristic
213C22×C4×C7C2×D411yescharacteristic
214C22×C4×C7C2411yescharacteristic
215C22×Dic7—21no—
216C22×Dic7—21no—
217C22×Dic7—21no—
218C22×Dic7—21no—
219C22×Dic7—24no—
220C22×Dic7—24no—
221C22×Dic7—44no—
222C22×Dic7—82no—
223C22×Dic7C2×D411yescharacteristic
224C22×Dic7C2×D411yescharacteristic
225C22×Dic7C2×D411yescharacteristic
226C22×Dic7C2×D411yescharacteristic
227C2×Dic14—22no—
228C2×Dic14—22no—
229C2×Dic14—22no—
230C2×Dic14—22no—
231C2×Dic14—21no—
232C2×Dic14—21no—
233C2×Dic14—24no—
234C2×Dic14—42no—
235C2×Dic14—82no—
236C2×Dic14C2×D414yes—
237C2×Dic14C2412yes—
238C2×Dic14C2412yes—
239C7×D8—28no—
240C2×C7×C8—22no—
241C2×C7×C8—22no—
242C2×C7×C8C2412yes—
243C2×C7×C8C2412yes—
244C7×C4⋊C4—21no—
245C7×C4⋊C4—21no—
246C7×C4⋊C4C2412yes—
247C7×C4⋊C4C2412yes—
248C7×C22⋊C4—24no—
249C7×C22⋊C4—24no—
250C42×C7C2×D412yes—
251C42×C7C2412yes—
252C22⋊Dic7—24no—
253C22⋊Dic7—24no—
254C22⋊Dic7—24no—
255C22⋊Dic7—24no—
256C22⋊Dic7—24no—
257C22⋊Dic7—24no—
258#1142—28no—
259#1142—28no—
260C4⋊Dic7—24no—
261C4⋊Dic7—24no—
262C4⋊Dic7—21no—
263C4⋊Dic7—21no—
264C4⋊Dic7—24no—
265C4⋊Dic7C2×D414yes—
266C4⋊Dic7C2412yes—
267C4⋊Dic7C2412yes—
268Dic7⋊C4—24no—
269Dic7⋊C4—24no—
270Dic7⋊C4—24no—
271Dic7⋊C4—24no—
272Dic7⋊C4—24no—
273Dic7⋊C4—24no—
274Dic7⋊C4C2×D414yes—
275Dic7⋊C4C2×D414yes—
276C4×Dic7—24no—
277C4×Dic7—24no—
278C4×Dic7C2×D412yes—
279C4×Dic7C2×D412yes—
280C4×Dic7C2412yes—
281C4×Dic7C2412yes—
282C2×C7⋊C8—22no—
283C2×C7⋊C8—22no—
284C2×C7⋊C8C2412yes—
285C2×C7⋊C8C2412yes—
286C22×SD16—71no—
287C22×SD16—71no—
288C22×D8C2×D711yescharacteristic
289#556—78no—
290#556—144no—
291#554—78no—
292#554—144no—
293C2×C4⋊Q8—71no—
294C2×C4⋊Q8—71no—
295C2×#126—141no—
296C2×#126—141no—
297C2×#125—71no—
298C2×#125—71no—
299C2×#124—71no—
300C2×#124—71no—
301C2×C22⋊Q8—141no—
302C2×C22⋊Q8—141no—
303C2×C22⋊Q8—141no—
304C2×C22⋊Q8—141no—
305C2×C4×Q8—71no—
306C2×C4×Q8—71no—
307C2×C4×Q8—71no—
308C2×C4×D4—71no—
309C2×C4×D4—71no—
310C2×C4×D4C2×D711yescharacteristic
311C2×C4×D4C2×D711yescharacteristic
312C2×#117—141no—
313C22×C4⋊C4—141no—
314#491—78no—
315#489—78no—
316#488—78no—
317#479—78no—
318#478—78no—
319#475—78no—
320#463—78no—
321#463—78no—
322#461—78no—
323#446—78no—
324#442C2×D718yes—
325#440—78no—
326C4×SD16—78no—
327C2×#107—71no—
328C2×#106—71no—
329C2×#106C2×D711yescharacteristic
330C2×C4⋊C8—71no—
331C2×C4⋊C8—71no—
332C2×C4⋊C8—71no—
333C2×#103—71no—
334C2×#103—71no—
335C2×#103—71no—
336C2×#103—71no—
337C2×#103—71no—
338C2×#103—71no—
339C2×#102—71no—
340C2×#102—71no—
341C2×#102C2×D711yescharacteristic
342C2×#102C2×D711yescharacteristic
343C2×#97—71no—
344C2×#97C2×D711yescharacteristic
345C2×C4×C8—71no—
346C23×C7—24no—
347C23×C7—22no—
348C23×C7—22no—
349C23×C7—42no—
350C23×C7—42no—
351C23×C7—42no—
352C23×C7—42no—
353C23×C7—42no—
354C23×C7C22×D411yescharacteristic
355C7×D4—24no—
356C7×D4—22no—
357C7×D4—22no—
358C7×D4—22no—
359C7×D4—42no—
360C7×D4C2×#4114yes—
361C2×C4×C7—22no—
362C2×C4×C7—22no—
363C2×C4×C7—22no—
364C2×C4×C7—22no—
365C2×C4×C7—48no—
366C2×C4×C7—42no—
367C2×C4×C7—42no—
368C2×C4×C7—84no—
369C2×C4×C7C22×D412yes—
370C2×C4×C7C22×D412yes—
371C2×C4×C7C22×D411yescharacteristic
372C2×C4×C7C2×#4112yes—
373C2×C4×C72−1+412yes—
374C2×C4×C7C2511yescharacteristic
375C2×Dic7—22no—
376C2×Dic7—22no—
377C2×Dic7—22no—
378C2×Dic7—22no—
379C2×Dic7—22no—
380C2×Dic7—22no—
381C2×Dic7—22no—
382C2×Dic7—22no—
383C2×Dic7—48no—
384C2×Dic7—42no—
385C2×Dic7—42no—
386C2×Dic7—42no—
387C2×Dic7—42no—
388C2×Dic7—84no—
389C2×Dic7C22×D412yes—
390C2×Dic7C22×D412yes—
391C2×Dic7C22×D412yes—
392C2×Dic7C22×D412yes—
393Dic14—22no—
394Dic14—22no—
395Dic14—22no—
396Dic14—22no—
397Dic14—44no—
398Dic14—42no—
399Dic14—42no—
400Dic14—84no—
401C7×C8—22no—
402C7×C8—22no—
403C7⋊C8—22no—
404C7⋊C8—22no—
405C22×Q8—71no—
406C22×Q8—71no—
407C22×Q8—71no—
408C22×Q8—141no—
409C22×D4C22×D711yescharacteristic
410C22×D4C22×D711yescharacteristic
411C23×C4—21no—
412C23×C4—21no—
413C23×C4—141no—
414C23×C4—141no—
415C2×SD16—74no—
416C2×SD16—74no—
417C2×SD16—144no—
418C2×SD16—144no—
419C2×D8—24no—
420C2×D8C22×D714yes—
421C22×C8—71no—
422C22×C8—71no—
423C22×C8C22×D711yescharacteristic
424C22×C8C22×D711yescharacteristic
425C4⋊Q8—74no—
426C4⋊Q8—74no—
427C4⋊Q8—142no—
428C4⋊Q8—142no—
429#126—148no—
430#126—148no—
431#125—74no—
432#125—74no—
433#125—142no—
434#125—142no—
435#124—74no—
436#124—74no—
437#124—142no—
438#124—142no—
439C22⋊Q8—148no—
440C22⋊Q8—148no—
441C22⋊Q8—148no—
442C22⋊Q8—148no—
443C4×Q8—74no—
444C4×Q8—74no—
445C4×Q8—74no—
446C4×Q8—74no—
447C4×Q8—142no—
448C4×Q8—142no—
449C4×D4—22no—
450C4×D4—22no—
451C4×D4—74no—
452C4×D4—74no—
453C4×D4—142no—
454C4×D4—142no—
455C4×D4C22×D714yes—
456C4×D4C22×D714yes—
457#117—148no—
458C2×C4⋊C4—71no—
459C2×C4⋊C4—71no—
460C2×C4⋊C4—71no—
461C2×C4⋊C4—71no—
462C2×C4⋊C4—71no—
463C2×C4⋊C4—148no—
464C2×C4⋊C4—141no—
465C2×C4⋊C4—141no—
466C2×C4⋊C4—141no—
467C2×C4⋊C4—141no—
468C2×C4⋊C4—141no—
469C2×C4⋊C4—141no—
470C2×C4⋊C4—141no—
471C2×C4⋊C4—141no—
472C2×C4⋊C4—141no—
473C2×C4⋊C4C22×D711yescharacteristic
474C2×C4⋊C4C22×D711yescharacteristic
475C2×C22⋊C4—21no—
476C2×C22⋊C4—21no—
477C2×C22⋊C4—141no—
478C2×C22⋊C4—141no—
479C2×C22⋊C4—141no—
480C2×C22⋊C4—141no—
481C2×C22⋊C4—141no—
482C2×C22⋊C4—141no—
483C2×C42—71no—
484C2×C42—71no—
485C2×C42—141no—
486C2×C42—141no—
487C2×C42C22×D711yescharacteristic
488#107—74no—
489#106—74no—
490#106C22×D714yes—
491C4⋊C8—74no—
492C4⋊C8—74no—
493C4⋊C8—74no—
494#103—74no—
495#103—74no—
496#103—74no—
497#103—74no—
498#103—74no—
499#103—74no—
500#102—74no—
501#102—74no—
502#102C22×D714yes—
503#102C22×D714yes—
504#97—74no—
505#97C22×D714yes—
506C4×C8—74no—
507C22×C7—24no—
508C22×C7—48no—
509C22×C7—42no—
510C22×C7—42no—
511C22×C7—42no—
512C22×C7—42no—
513C22×C7—42no—
514C22×C7—84no—
515C22×C7#54812yes—
516C22×C7#57512yes—
517C22×C7#57712yes—
518C22×C7C23×D411yescharacteristic
519C4×C7—22no—
520C4×C7—22no—
521C4×C7—42no—
522C4×C7—42no—
523C4×C7#54812yes—
524C4×C7C22×#4111yescharacteristic
525C4×C7C2×2−1+411yescharacteristic
526Dic7—22no—
527Dic7—22no—
528Dic7—22no—
529Dic7—22no—
530Dic7—42no—
531Dic7—42no—
532Dic7—42no—
533Dic7—42no—
534C24—21no—
535C24—21no—
536C2×Q8—74no—
537C2×Q8—72no—
538C2×Q8—72no—
539C2×Q8—144no—
540C2×Q8—141no—
541C2×Q8—141no—
542C2×Q8—142no—
543C2×Q8—142no—
544C2×Q8—142no—
545C2×Q8—142no—
546C2×Q8—282no—
547C2×Q8—562no—
548C2×D4—22no—
549C2×D4—21no—
550C2×D4—21no—
551C2×D4—22no—
552C2×D4—22no—
553C2×D4#115714yes—
554C2×D4C23×D712yes—
555C2×D4C23×D712yes—
556C22×C4—21no—
557C22×C4—21no—
558C22×C4—24no—
559C22×C4—24no—
560C22×C4—44no—
561C22×C4—71no—
562C22×C4—71no—
563C22×C4—71no—
564C22×C4—71no—
565C22×C4—82no—
566C22×C4—144no—
567C22×C4—144no—
568C22×C4—141no—
569C22×C4—141no—
570C22×C4—141no—
571C22×C4—141no—
572C22×C4—284no—
573C22×C4—562no—
574C22×C4D4×D711yescharacteristic
575C22×C4D4×D711yescharacteristic
576C22×C4C23×D711yescharacteristic
577SD16—148no—
578SD16—148no—
579D8—28no—
580C2×C8—22no—
581C2×C8—22no—
582C2×C8—72no—
583C2×C8—72no—
584C2×C8—142no—
585C2×C8—142no—
586C2×C8C23×D712yes—
587C2×C8C23×D712yes—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—74no—
591C4⋊C4—74no—
592C4⋊C4—74no—
593C4⋊C4—72no—
594C4⋊C4—72no—
595C4⋊C4—144no—
596C4⋊C4—144no—
597C4⋊C4—144no—
598C4⋊C4—144no—
599C4⋊C4—144no—
600C4⋊C4—144no—
601C4⋊C4—144no—
602C4⋊C4—141no—
603C4⋊C4—141no—
604C4⋊C4—144no—
605C4⋊C4—144no—
606C4⋊C4C23×D712yes—
607C4⋊C4C23×D712yes—
608C22⋊C4—24no—
609C22⋊C4—24no—
610C22⋊C4—144no—
611C22⋊C4—144no—
612C22⋊C4—144no—
613C22⋊C4—144no—
614C22⋊C4—144no—
615C22⋊C4—144no—
616C42—72no—
617C42—72no—
618C42—72no—
619C42—72no—
620C42—144no—
621C42—144no—
622C42D4×D712yes—
623C42C23×D712yes—
624C2×C7—44no—
625C2×C7—82no—
626C2×C7#337614yescomplemented
627C2×C7C2×#54811yescharacteristic
628C2×C7C2×#57511yescharacteristic
629C2×C7C2×#57711yescharacteristic
630C23—24no—
631C23—22no—
632C23—22no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23C2×D4×D711yescharacteristic
639Q8—142no—
640Q8—142no—
641Q8—142no—
642Q8—142no—
643Q8—284no—
644Q8—282no—
645Q8—282no—
646Q8—564no—
647D4—24no—
648D4—22no—
649D4—22no—
650D4—22no—
651D4—42no—
652D4C2×#115714yes—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—48no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—72no—
661C2×C4—72no—
662C2×C4—72no—
663C2×C4—72no—
664C2×C4—84no—
665C2×C4—142no—
666C2×C4—142no—
667C2×C4—142no—
668C2×C4—142no—
669C2×C4—142no—
670C2×C4—142no—
671C2×C4—142no—
672C2×C4—142no—
673C2×C4—288no—
674C2×C4—282no—
675C2×C4—282no—
676C2×C4—282no—
677C2×C4—282no—
678C2×C4—564no—
679C2×C4C2×#115712yes—
680C2×C4C2×D4×D712yes—
681C2×C4C2×D4×D712yes—
682C2×C4C2×D4×D711yescharacteristic
683C2×C4#655412yes—
684C2×C4C24×D711yescharacteristic
685C8—22no—
686C8—22no—
687C8—142no—
688C8—142no—
689C7C2×#337611yescharacteristic, complemented, Sylow
690C22—24no—
691C22—42no—
692C22—42no—
693C22—48no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—84no—
698C22#9024312yes—
699C22#9046412yes—
700C22#9046612yes—
701C22C22×D4×D711yescharacteristic
702C4—22no—
703C4—22no—
704C4—42no—
705C4—42no—
706C4—142no—
707C4—142no—
708C4—142no—
709C4—142no—
710C4—282no—
711C4—282no—
712C4—282no—
713C4—282no—
714C4#9024312yes—
715C4C22×#115711yescharacteristic
716C4C2×#655411yescharacteristic
717C2—44no—
718C2—82no—
719C2#1173729914yesdirect product factor
720C2C2×#9024311yescharacteristic
721C2C2×#9046411yescharacteristic
722C2C2×#9046611yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C7×#442C2
socleC23×C7C22×D4
prime radicalC22×C7×D8C22
hypercenterC2×#442D7
hypocenterC7C2×#3376
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#442

Complements

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

NH ≅ G/Ntype
1. C2×#90233C2semidirect
2. C2×#90230C2semidirect
6. C2×#89791C2semidirect
7. C2×#89781C2semidirect
8. #11737299C2direct (N × H)
9. C2×#89629C2semidirect
10. C2×#89626C2semidirect
11. C2×#89537C2semidirect
12. C2×#89540C2semidirect
13. C2×#89529C2semidirect
14. C2×#89530C2semidirect
15. C2×#89475C2semidirect
16. C2×#89473C2semidirect
31. #90233C22semidirect
33. #90230C22semidirect
62. #89791C22semidirect
63. #89781C22semidirect
69. #89629C22semidirect
70. #89626C22semidirect
71. #89540C22semidirect
72. #89537C22semidirect
73. #89530C22semidirect
74. #89529C22semidirect
75. #89475C22semidirect
76. #89473C22semidirect
626. C2×C7#3376semidirect
689. C7C2×#3376semidirect
719. C2#11737299direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#902332
C2×#902302
C2×C7×#4422
C2×#899252
C2×#897912
C2×#897812
#117372992
C2×#896292
C2×#896262
C2×#895372
C2×#895402
C2×#895292
C2×#895302
C2×#894752
C2×#894732
C2×#33767