Finite Group Databasebeta

← C2×#11737072 #14233573

Subgroups — C2×#11737072 #14233573

Order 1792.

1874 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×#90260C211yesmaximal, characteristic, complemented
2C2×#90250C211yesmaximal, characteristic
3C2×C4×C7×SD16C211yesmaximal, characteristic, complemented
4C2×#89938C211yesmaximal, characteristic, complemented
5C2×#89935C211yesmaximal, characteristic
6C2×#89800C211yesmaximal, characteristic, complemented
7C2×#89781C211yesmaximal, characteristic, complemented
8#11737072C2116yesmaximal, direct product factor
9C2×#89629C211yesmaximal, characteristic, complemented
10C2×#89642C211yesmaximal, characteristic, complemented
11C2×#89561C211yesmaximal, characteristic, complemented
12C2×#89589C211yesmaximal, characteristic, complemented
13C2×#89536C211yesmaximal, characteristic
14C2×#89537C211yesmaximal, characteristic, complemented
15C2×#89469C211yesmaximal, characteristic, complemented
16C2×#89451C211yesmaximal, characteristic, complemented
17C22×C7×SD16C2211yescharacteristic
18C2×C4×C7×Q8C2211yescharacteristic
19C2×C4×C7×D4C2211yescharacteristic
20C2×Q8×Dic7C2211yescharacteristic
21C2×Q8×Dic7C2211yescharacteristic
22C22×#1144C2211yescharacteristic
23C22×#1143C2211yescharacteristic
24C2×#6503C2211yescharacteristic
25C2×#6499C2211yescharacteristic
26C2×#6492—21no—
27C2×C4×C22⋊D7—21no—
28#90260—24no—
29#90260C2218yescomplemented
30#90250—24no—
31#90250C2218yes—
32C2×#6456C2211yescharacteristic
33C2×#6453—21no—
34C2×#6453C2211yescharacteristic
35C2×#6451—21no—
36C2×#6451C2211yescharacteristic
37C2×#6450C2211yescharacteristic
38C2×#6448—21no—
39C2×#6446—21no—
40C2×#6438C2211yescharacteristic
41C2×#6433—21no—
42C2×#6433C2211yescharacteristic
43C2×C4×Dic14—21no—
44C2×C4×Dic14C2211yescharacteristic
45C4×C7×SD16C2218yescomplemented
46C2×C7×#106C2211yescharacteristic
47C2×C7×#103C2211yescharacteristic
48C2×C7×#102C2211yescharacteristic
49C2×C4×C7×C8C2211yescharacteristic
50C2×#6406C2211yescharacteristic
51C2×#6406C2211yescharacteristic
52#89938C2218yescomplemented
53#89935C2218yes—
54C2×#6395C2211yescharacteristic
55C2×#6395C2211yescharacteristic
56C2×#6390C2211yescharacteristic
57C2×#6390C2211yescharacteristic
58C2×#6389C2211yescharacteristic
59C2×#6389C2211yescharacteristic
60C2×Dic7⋊C8C2211yescharacteristic
61C2×Dic7⋊C8C2211yescharacteristic
62#89800C2218yescomplemented
63#89781C2218yescomplemented
64C2×#6384C2211yescharacteristic
65C2×#6383C2211yescharacteristic
66C2×#6382C2211yescharacteristic
67C2×#6381C2211yescharacteristic
68C2×C4⋊(C7⋊C8)C2211yescharacteristic
69#89642C2218yescomplemented
70#89629C2218yescomplemented
71#89589C2218yescomplemented
72#89561C2218yescomplemented
73#89537C2218yescomplemented
74#89536C2218yes—
75#89469C2218yescomplemented
76#89451C2218yescomplemented
77C2×#3371—71nomaximal, Sylow
78C22×C7×Q8C2311yescharacteristic
79C22×C7×D4C2311yescharacteristic
80C23×C4×C7—21no—
81C22×C22⋊D7—21no—
82C22×C22⋊D7—21no—
83C22×D28C2311yescharacteristic
84C22×C4×D7—21no—
85C22×Dic14—21no—
86C22×Dic14D411yescharacteristic
87C22×Dic14C2311yescharacteristic
88C2×C7×SD16—24no—
89C2×C7×SD16C2314yes—
90C22×C7×C8C2311yescharacteristic
91C22×C7×C8C2311yescharacteristic
92C4×C7×Q8—22no—
93C4×C7×Q8C2314yes—
94C4×C7×D4—22no—
95C4×C7×D4C2314yes—
96C2×C7×C4⋊C4—21no—
97C2×C7×C4⋊C4C2311yescharacteristic
98C2×C7×C4⋊C4C2311yescharacteristic
99C2×C7×C22⋊C4—21no—
100C2×C42×C7—21no—
101C2×C42×C7C2311yescharacteristic
102C2×C22⋊Dic7—21no—
103C2×C22⋊Dic7—21no—
104Q8×Dic7—22no—
105Q8×Dic7—22no—
106Q8×Dic7C2314yes—
107Q8×Dic7C2314yes—
108C2×#1144—24no—
109C2×#1144C2314yes—
110C2×#1143—24no—
111C2×#1143C2314yes—
112#6503—22no—
113#6503C2314yes—
114#6499—22no—
115#6499C2314yes—
116#6492—28no—
117C4×C22⋊D7—28no—
118C2×(C2×D7)⋊C4—21no—
119C2×(C2×D7)⋊C4—21no—
120C2×(C2×D7)⋊C4—21no—
121C2×C4⋊Dic7—21no—
122C2×C4⋊Dic7—21no—
123C2×C4⋊Dic7—21no—
124C2×C4⋊Dic7D411yescharacteristic
125C2×C4⋊Dic7C2311yescharacteristic
126C2×C4⋊Dic7C2311yescharacteristic
127C2×Dic7⋊C4—21no—
128C2×Dic7⋊C4—21no—
129C2×Dic7⋊C4—21no—
130C2×Dic7⋊C4—21no—
131C2×Dic7⋊C4—21no—
132C2×Dic7⋊C4D411yescharacteristic
133C2×Dic7⋊C4D411yescharacteristic
134C2×C4×Dic7—21no—
135C2×C4×Dic7—21no—
136C2×C4×Dic7—21no—
137C2×C4×Dic7C2311yescharacteristic
138C2×C4×Dic7C2311yescharacteristic
139C22×C7⋊C8C2311yescharacteristic
140C22×C7⋊C8C2311yescharacteristic
141#6456—22no—
142#6456C2314yes—
143#6453—28no—
144#6453—22no—
145#6453C2314yes—
146#6451—28no—
147#6451—22no—
148#6451C2314yes—
149#6450—22no—
150#6450C2314yes—
151#6448—28no—
152#6446—28no—
153#6438—22no—
154#6438C2314yes—
155#6433—22no—
156#6433—28no—
157#6433C2314yes—
158C4×Dic14—28no—
159C4×Dic14D414yes—
160C4×Dic14C2314yes—
161C7×#106C2314yes—
162C7×#103C2314yes—
163C7×#102C2314yes—
164C4×C7×C8C2314yes—
165#6406C2314yes—
166#6406C2314yes—
167#6395C2314yes—
168#6395C2314yes—
169#6390C2314yes—
170#6390C2314yes—
171#6389C2314yes—
172#6389C2314yes—
173Dic7⋊C8C2314yes—
174Dic7⋊C8C2314yes—
175#6384C2314yes—
176#6383C2314yes—
177#6382C2314yes—
178#6381C2314yes—
179C4⋊(C7⋊C8)C2314yes—
180C2×#559—71no—
181C2×#557—71no—
182#3371—716no—
183C2×#490—71no—
184C2×#489—71no—
185C2×#488—71no—
186C2×#479—71no—
187C2×#478—71no—
188C2×#476—71no—
189C2×#464—71no—
190C2×#464—71no—
191C2×#460—71no—
192C2×#446—71no—
193C2×#441—71no—
194C2×#440—71no—
195C2×C4×SD16D711yescharacteristic, complemented
196C24×C7—21no—
197C23×D7—21no—
198C2×C7×Q8—21no—
199C2×C7×Q8—22no—
200C2×C7×Q8#4114yes—
201C2×C7×Q8C2412yes—
202C2×C7×D4—21no—
203C2×C7×D4—22no—
204C2×C7×D4—22no—
205C2×C7×D4C2412yes—
206C22×C4×C7—21no—
207C22×C4×C7—21no—
208C22×C4×C7—21no—
209C22×C4×C7—24no—
210C22×C4×C7—82no—
211C22×C4×C7C2×D411yescharacteristic
212C22×C4×C7C2×D411yescharacteristic
213C22×C4×C7C2411yescharacteristic
214C2×C22⋊D7—24no—
215C2×C22⋊D7—24no—
216C2×C22⋊D7—44no—
217C2×C22⋊D7—82no—
218C22×Dic7—21no—
219C22×Dic7—21no—
220C22×Dic7—21no—
221C22×Dic7C2×D411yescharacteristic
222C22×Dic7C2×D411yescharacteristic
223C22×Dic7C2×D411yescharacteristic
224C22×Dic7C2×D411yescharacteristic
225C2×D28—22no—
226C2×D28—22no—
227C2×D28—21no—
228C2×D28C2412yes—
229C2×C4×D7—24no—
230C2×C4×D7—82no—
231C2×Dic14—22no—
232C2×Dic14—22no—
233C2×Dic14—21no—
234C2×Dic14—24no—
235C2×Dic14—42no—
236C2×Dic14—44no—
237C2×Dic14C2×D414yes—
238C2×Dic14C2412yes—
239C7×SD16—28no—
240C2×C7×C8—22no—
241C2×C7×C8—22no—
242C2×C7×C8C2412yes—
243C2×C7×C8C2412yes—
244C7×C4⋊C4—21no—
245C7×C4⋊C4—24no—
246C7×C4⋊C4—21no—
247C7×C4⋊C4C2412yes—
248C7×C4⋊C4C2412yes—
249C7×C22⋊C4—24no—
250C42×C7—24no—
251C42×C7C2×D412yes—
252C42×C7C2412yes—
253C22⋊Dic7—24no—
254C22⋊Dic7—24no—
255#1144—28no—
256#1143—28no—
257(C2×D7)⋊C4—24no—
258(C2×D7)⋊C4—24no—
259(C2×D7)⋊C4—24no—
260C4⋊Dic7—21no—
261C4⋊Dic7—21no—
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—
271Dic7⋊C4—24no—
272Dic7⋊C4—24no—
273Dic7⋊C4C2×D414yes—
274Dic7⋊C4C2×D414yes—
275C4×Dic7—24no—
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×Q16—71no—
287C22×SD16—71no—
288C22×SD16C2×D711yescharacteristic
289#559—78no—
290#559—144no—
291#557—78no—
292#557—144no—
293C2×C4⋊Q8—71no—
294C2×C4⋊Q8—141no—
295C2×#127—71no—
296C2×#125—71no—
297C2×#125—71no—
298C2×#125—141no—
299C2×#125—141no—
300C2×#124—71no—
301C2×#124—71no—
302C2×#124—141no—
303C2×#123—141no—
304C2×#123—141no—
305C2×C4×Q8—71no—
306C2×C4×Q8—71no—
307C2×C4×Q8—71no—
308C2×C4×Q8—71no—
309C2×C4×Q8—141no—
310C2×C4×Q8C2×D711yescharacteristic
311C2×C4×D4—71no—
312C2×C4×D4—141no—
313C2×C4×D4C2×D711yescharacteristic
314#490—78no—
315#489—78no—
316#488—78no—
317#479—78no—
318#478—78no—
319#476—78no—
320#464—78no—
321#464—78no—
322#460—78no—
323#446—78no—
324#441—78no—
325#440—78no—
326C4×SD16C2×D718yescomplemented
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×#103C2×D711yescharacteristic
337C2×#102—71no—
338C2×#102—71no—
339C2×#102—71no—
340C2×#102—71no—
341C2×#102—71no—
342C2×#102C2×D711yescharacteristic
343C2×#97—71no—
344C2×#97—71no—
345C2×C4×C8C2×D711yescharacteristic
346C23×C7—22no—
347C23×C7—42no—
348C23×C7—42no—
349C23×C7—42no—
350C23×C7C22×D411yescharacteristic
351C22×D7—22no—
352C22×D7—42no—
353C22×D7—42no—
354C22×D7—42no—
355C7×Q8—24no—
356C7×Q8—22no—
357C7×Q8C2×#4114yes—
358C7×D4—22no—
359C7×D4—22no—
360C7×D4—42no—
361C2×C4×C7—24no—
362C2×C4×C7—22no—
363C2×C4×C7—22no—
364C2×C4×C7—22no—
365C2×C4×C7—22no—
366C2×C4×C7—22no—
367C2×C4×C7—42no—
368C2×C4×C7—42no—
369C2×C4×C7—84no—
370C2×C4×C7C22×D412yes—
371C2×C4×C7C22×D412yes—
372C2×C4×C7C22×D411yescharacteristic
373C2×C4×C7C2×#4112yes—
374C2×C4×C72−1+412yes—
375C2×C4×C7C2511yescharacteristic
376C22⋊D7—48no—
377C22⋊D7—84no—
378C2×Dic7—22no—
379C2×Dic7—22no—
380C2×Dic7—22no—
381C2×Dic7—22no—
382C2×Dic7—22no—
383C2×Dic7—22no—
384C2×Dic7—22no—
385C2×Dic7—42no—
386C2×Dic7—42no—
387C2×Dic7—42no—
388C2×Dic7C22×D412yes—
389C2×Dic7C22×D412yes—
390C2×Dic7C22×D412yes—
391C2×Dic7C22×D412yes—
392D28—22no—
393D28—22no—
394D28—42no—
395C4×D7—84no—
396Dic14—22no—
397Dic14—22no—
398Dic14—44no—
399Dic14—48no—
400Dic14—42no—
401C7×C8—22no—
402C7×C8—22no—
403C7⋊C8—22no—
404C7⋊C8—22no—
405C22×Q8—71no—
406C22×Q8—71no—
407C22×Q8—141no—
408C22×Q8C22×D711yescharacteristic
409C22×D4—71no—
410C22×D4—141no—
411C22×D4—141no—
412C22×D4C22×D711yescharacteristic
413C23×C4—21no—
414C23×C4—141no—
415C2×Q16—74no—
416C2×Q16—144no—
417C2×SD16—24no—
418C2×SD16—74no—
419C2×SD16—144no—
420C2×SD16C22×D714yes—
421C22×C8—71no—
422C22×C8—71no—
423C22×C8C22×D711yescharacteristic
424C22×C8C22×D711yescharacteristic
425C4⋊Q8—74no—
426C4⋊Q8—142no—
427C4⋊Q8—148no—
428#127—74no—
429#127—142no—
430#125—74no—
431#125—74no—
432#125—148no—
433#125—142no—
434#125—148no—
435#125—142no—
436#124—74no—
437#124—74no—
438#124—142no—
439#124—148no—
440#124—142no—
441#123—148no—
442#123—148no—
443C4×Q8—22no—
444C4×Q8—74no—
445C4×Q8—74no—
446C4×Q8—74no—
447C4×Q8—74no—
448C4×Q8—74no—
449C4×Q8—148no—
450C4×Q8—142no—
451C4×Q8—142no—
452C4×Q8—142no—
453C4×Q8C22×D714yes—
454C4×D4—22no—
455C4×D4—74no—
456C4×D4—142no—
457C4×D4—148no—
458C4×D4C22×D714yes—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—71no—
461C2×C4⋊C4—71no—
462C2×C4⋊C4—71no—
463C2×C4⋊C4—71no—
464C2×C4⋊C4—71no—
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—141no—
477C2×C22⋊C4—141no—
478C2×C22⋊C4—141no—
479C2×C22⋊C4—141no—
480C2×C22⋊C4—141no—
481C2×C42—21no—
482C2×C42—71no—
483C2×C42—71no—
484C2×C42—141no—
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#103C22×D714yes—
498#102—74no—
499#102—74no—
500#102—74no—
501#102—74no—
502#102—74no—
503#102C22×D714yes—
504#97—74no—
505#97—74no—
506C4×C8C22×D714yes—
507C22×C7—42no—
508C22×C7—42no—
509C22×C7—42no—
510C22×C7—84no—
511C22×C7#54812yes—
512C22×C7#57512yes—
513C22×C7#57712yes—
514C22×C7C23×D411yescharacteristic
515C2×D7—42no—
516C2×D7—42no—
517C2×D7—42no—
518C2×D7—84no—
519C4×C7—24no—
520C4×C7—22no—
521C4×C7—22no—
522C4×C7—42no—
523C4×C7—42no—
524C4×C7#54812yes—
525C4×C7C22×#4111yescharacteristic
526C4×C7C2×2−1+411yescharacteristic
527Dic7—22no—
528Dic7—22no—
529Dic7—22no—
530Dic7—22no—
531Dic7—42no—
532Dic7—42no—
533Dic7—42no—
534C24—21no—
535C24—141no—
536C2×Q8—21no—
537C2×Q8—22no—
538C2×Q8—74no—
539C2×Q8—72no—
540C2×Q8—144no—
541C2×Q8—141no—
542C2×Q8—142no—
543C2×Q8—142no—
544C2×Q8—282no—
545C2×Q8—284no—
546C2×Q8#115714yes—
547C2×Q8C23×D712yes—
548C2×D4—22no—
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—72no—
552C2×D4—144no—
553C2×D4—144no—
554C2×D4—142no—
555C2×D4—141no—
556C2×D4—142no—
557C2×D4—284no—
558C2×D4—562no—
559C2×D4C23×D712yes—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—21no—
563C22×C4—24no—
564C22×C4—71no—
565C22×C4—71no—
566C22×C4—71no—
567C22×C4—71no—
568C22×C4—82no—
569C22×C4—144no—
570C22×C4—141no—
571C22×C4—141no—
572C22×C4—141no—
573C22×C4—562no—
574C22×C4D4×D711yescharacteristic
575C22×C4D4×D711yescharacteristic
576C22×C4C23×D711yescharacteristic
577Q16—148no—
578SD16—28no—
579SD16—148no—
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—24no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—74no—
592C4⋊C4—74no—
593C4⋊C4—74no—
594C4⋊C4—72no—
595C4⋊C4—72no—
596C4⋊C4—144no—
597C4⋊C4—144no—
598C4⋊C4—144no—
599C4⋊C4—144no—
600C4⋊C4—144no—
601C4⋊C4—144no—
602C4⋊C4—144no—
603C4⋊C4—144no—
604C4⋊C4—141no—
605C4⋊C4—141no—
606C4⋊C4C23×D712yes—
607C4⋊C4C23×D712yes—
608C22⋊C4—24no—
609C22⋊C4—144no—
610C22⋊C4—144no—
611C22⋊C4—144no—
612C22⋊C4—144no—
613C22⋊C4—144no—
614C42—24no—
615C42—72no—
616C42—72no—
617C42—72no—
618C42—72no—
619C42—144no—
620C42—144no—
621C42—144no—
622C42D4×D712yes—
623C42C23×D712yes—
624C2×C7—82no—
625C2×C7#337114yescomplemented
626C2×C7C2×#54811yescharacteristic
627C2×C7C2×#57511yescharacteristic
628C2×C7C2×#57711yescharacteristic
629D7—82no—
630C23—22no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—142no—
635C23—282no—
636C23—282no—
637C23—282no—
638C23C2×D4×D711yescharacteristic
639Q8—24no—
640Q8—22no—
641Q8—142no—
642Q8—142no—
643Q8—284no—
644Q8—288no—
645Q8—282no—
646Q8C2×#115714yes—
647D4—22no—
648D4—22no—
649D4—42no—
650D4—142no—
651D4—142no—
652D4—288no—
653D4—282no—
654D4—564no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—24no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—72no—
664C2×C4—72no—
665C2×C4—72no—
666C2×C4—72no—
667C2×C4—84no—
668C2×C4—142no—
669C2×C4—142no—
670C2×C4—142no—
671C2×C4—142no—
672C2×C4—142no—
673C2×C4—142no—
674C2×C4—142no—
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×#337111yescharacteristic, complemented, Sylow
690C22—42no—
691C22—42no—
692C22—42no—
693C22—84no—
694C22—282no—
695C22—282no—
696C22—282no—
697C22—564no—
698C22#9024312yes—
699C22#9045312yes—
700C22#9045912yes—
701C22C22×D4×D711yescharacteristic
702C4—24no—
703C4—22no—
704C4—22no—
705C4—42no—
706C4—42no—
707C4—142no—
708C4—142no—
709C4—142no—
710C4—142no—
711C4—282no—
712C4—282no—
713C4—282no—
714C4#9024312yes—
715C4C22×#115711yescharacteristic
716C4C2×#655411yescharacteristic
717C2—82no—
718C2—562no—
719C2#1173707214yesdirect product factor
720C2C2×#9024311yescharacteristic
721C2C2×#9045311yescharacteristic
722C2C2×#9045911yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C4×C7×SD16C2
socleC23×C7C22×D4
prime radicalC2×#6503C22
hypercenterC2×C4×SD16D7
hypocenterC7C2×#3371
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×C4×SD16

Complements

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

NH ≅ G/Ntype
1. C2×#90260C2semidirect
3. C2×C4×C7×SD16C2semidirect
4. C2×#89938C2semidirect
6. C2×#89800C2semidirect
7. C2×#89781C2semidirect
8. #11737072C2direct (N × H)
9. C2×#89629C2semidirect
10. C2×#89642C2semidirect
11. C2×#89561C2semidirect
12. C2×#89589C2semidirect
14. C2×#89537C2semidirect
15. C2×#89469C2semidirect
16. C2×#89451C2semidirect
29. #90260C22semidirect
45. C4×C7×SD16C22semidirect
52. #89938C22semidirect
62. #89800C22semidirect
63. #89781C22semidirect
69. #89642C22semidirect
70. #89629C22semidirect
71. #89589C22semidirect
72. #89561C22semidirect
73. #89537C22semidirect
75. #89469C22semidirect
76. #89451C22semidirect
195. C2×C4×SD16D7semidirect
326. C4×SD16C2×D7semidirect
625. C2×C7#3371semidirect
689. C7C2×#3371semidirect
719. C2#11737072direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#902602
C2×#902502
C2×C4×C7×SD162
C2×#899382
C2×#899352
C2×#898002
C2×#897812
#117370722
C2×#896292
C2×#896422
C2×#895612
C2×#895892
C2×#895362
C2×#895372
C2×#894692
C2×#894512
C2×#33717