Finite Group Databasebeta

← C2×#11739177 #14233456

Subgroups — C2×#11739177 #14233456

Order 1792.

1854 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90412C211yesmaximal, characteristic, complemented
2C2×#90381C211yesmaximal, characteristic
3C2×C7×#491C211yesmaximal, characteristic, complemented
4C2×#89855C211yesmaximal, characteristic
5C2×#89835C211yesmaximal, characteristic, complemented
6#11739177C2116yesmaximal, direct product factor
7C2×#89590C211yesmaximal, characteristic
8C2×#89590C211yesmaximal, characteristic
9C2×#89569C211yesmaximal, characteristic, complemented
10C2×#89564C211yesmaximal, characteristic, complemented
11C2×#89568C211yesmaximal, characteristic, complemented
12C2×#89566C211yesmaximal, characteristic, complemented
13C2×#89589C211yesmaximal, characteristic
14C2×#89560C211yesmaximal, characteristic
15C2×#89482C211yesmaximal, characteristic
16C2×#89473C211yesmaximal, characteristic, complemented
17C2×C7×C4⋊Q8C2211yescharacteristic
18C2×C7×#125C2211yescharacteristic
19C2×Q8×Dic7C2211yescharacteristic
20C2×Q8×Dic7C2211yescharacteristic
21C2×#6507C2211yescharacteristic
22C2×#6507C2211yescharacteristic
23C22×#1143C2211yescharacteristic
24C22×#1143C2211yescharacteristic
25C22×#1132C2211yescharacteristic
26#90412—24no—
27#90412C2218yescomplemented
28#90381—24no—
29#90381C2218yes—
30C2×#6460—21no—
31C2×#6459—21no—
32C2×#6459—21no—
33C2×#6456C2211yescharacteristic
34C2×#6456C2211yescharacteristic
35C2×D7×C4⋊C4—21no—
36C2×#6453—21no—
37C2×#6453C2211yescharacteristic
38C2×#6452—21no—
39C2×#6452—21no—
40C2×#6451C2211yescharacteristic
41C2×#6450—21no—
42C2×C4×D28C2211yescharacteristic
43C2×C4×Dic14C2211yescharacteristic
44C2×C4×Dic14C2211yescharacteristic
45C7×#491C2218yescomplemented
46C2×C7×#103C2211yescharacteristic
47C2×C7×#103C2211yescharacteristic
48C2×C7×#103C2211yescharacteristic
49C2×C7×#103C2211yescharacteristic
50C2×C7×#97C2211yescharacteristic
51C2×#6409C2211yescharacteristic
52C2×#6409C2211yescharacteristic
53C2×#6395C2211yescharacteristic
54C2×#6392C2211yescharacteristic
55C2×#6390C2211yescharacteristic
56C2×#6389C2211yescharacteristic
57C2×Dic7⋊C8C2211yescharacteristic
58C2×Dic7⋊C8C2211yescharacteristic
59C2×C8×Dic7C2211yescharacteristic
60#89855C2218yes—
61#89835C2218yescomplemented
62C2×#6384C2211yescharacteristic
63C2×#6384C2211yescharacteristic
64C2×#6382C2211yescharacteristic
65C2×#6381C2211yescharacteristic
66C2×C4⋊(C7⋊C8)C2211yescharacteristic
67#89590C2218yes—
68#89590C2218yes—
69#89589C2218yes—
70#89569C2218yescomplemented
71#89568C2218yescomplemented
72#89566C2218yescomplemented
73#89564C2218yescomplemented
74#89560C2218yes—
75#89482C2218yes—
76#89473C2218yescomplemented
77C2×#3372—71nomaximal, Sylow
78C22×C7×Q8C2311yescharacteristic
79C22×C7×Q8C2311yescharacteristic
80C22×D28C2311yescharacteristic
81C22×C4×D7—21no—
82C22×C4×D7—21no—
83C22×C4×D7—21no—
84C22×Dic14—21no—
85C22×Dic14D411yescharacteristic
86C22×Dic14C2311yescharacteristic
87C22×C7×C8C2311yescharacteristic
88C22×C7×C8C2311yescharacteristic
89C7×C4⋊Q8—22no—
90C7×C4⋊Q8C2314yes—
91C7×#125—22no—
92C7×#125C2314yes—
93C2×C7×C4⋊C4—21no—
94C2×C7×C4⋊C4—21no—
95C2×C7×C4⋊C4—21no—
96C2×C7×C4⋊C4—21no—
97C2×C7×C4⋊C4C2311yescharacteristic
98C2×C7×C4⋊C4C2311yescharacteristic
99C2×C42×C7C2311yescharacteristic
100Q8×Dic7—22no—
101Q8×Dic7—22no—
102Q8×Dic7C2314yes—
103Q8×Dic7C2314yes—
104#6507—22no—
105#6507—22no—
106#6507C2314yes—
107#6507C2314yes—
108C2×#1143—24no—
109C2×#1143—24no—
110C2×#1143C2314yes—
111C2×#1143C2314yes—
112C2×(C2×D7)⋊C4—21no—
113C2×(C2×D7)⋊C4—21no—
114C2×(C2×D7)⋊C4—21no—
115C2×C4⋊Dic7—21no—
116C2×C4⋊Dic7—21no—
117C2×C4⋊Dic7—21no—
118C2×C4⋊Dic7D411yescharacteristic
119C2×C4⋊Dic7C2311yescharacteristic
120C2×C4⋊Dic7C2311yescharacteristic
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⋊C4—21no—
128C2×Dic7⋊C4D411yescharacteristic
129C2×Dic7⋊C4D411yescharacteristic
130C2×C4×Dic7—21no—
131C2×C4×Dic7—21no—
132C2×C4×Dic7—21no—
133C2×C4×Dic7C2311yescharacteristic
134C2×C4×Dic7C2311yescharacteristic
135C22×C7⋊C8C2311yescharacteristic
136C22×C7⋊C8C2311yescharacteristic
137C2×#1132—24no—
138C2×#1132C2314yes—
139#6460—28no—
140#6459—28no—
141#6459—28no—
142#6456—22no—
143#6456—22no—
144#6456C2314yes—
145#6456C2314yes—
146D7×C4⋊C4—28no—
147#6453—28no—
148#6453—22no—
149#6453C2314yes—
150#6452—28no—
151#6452—28no—
152#6451—22no—
153#6451C2314yes—
154#6450—28no—
155C4×D28—22no—
156C4×D28C2314yes—
157C4×Dic14—22no—
158C4×Dic14D414yes—
159C4×Dic14C2314yes—
160C4×Dic14C2314yes—
161C7×#103C2314yes—
162C7×#103C2314yes—
163C7×#103C2314yes—
164C7×#103C2314yes—
165C7×#97C2314yes—
166#6409C2314yes—
167#6409C2314yes—
168#6395C2314yes—
169#6392C2314yes—
170#6390C2314yes—
171#6389C2314yes—
172Dic7⋊C8C2314yes—
173Dic7⋊C8C2314yes—
174C8×Dic7C2314yes—
175#6384C2314yes—
176#6384C2314yes—
177#6382C2314yes—
178#6381C2314yes—
179C4⋊(C7⋊C8)C2314yes—
180C2×#557—71no—
181C2×#554—71no—
182#3372—716no—
183C2×#491—71no—
184C2×#491D711yescharacteristic, complemented
185C2×#487—71no—
186C2×#479—71no—
187C2×#479—71no—
188C2×#477—71no—
189C2×#461—71no—
190C2×#461—71no—
191C2×#461—71no—
192C2×#446—71no—
193C2×#440—71no—
194C2×#440—71no—
195C2×C4×SD16—71no—
196C23×D7—21no—
197C2×C7×Q8—21no—
198C2×C7×Q8—21no—
199C2×C7×Q8—22no—
200C2×C7×Q8—22no—
201C2×C7×Q8—22no—
202C2×C7×Q8—22no—
203C2×C7×Q8C2412yes—
204C2×C7×Q8C2412yes—
205C22×C4×C7—21no—
206C22×C4×C7—21no—
207C22×C4×C7—21no—
208C22×C4×C7—21no—
209C22×C4×C7C2×D411yescharacteristic
210C22×C4×C7C2×D411yescharacteristic
211C22×C4×C7C2411yescharacteristic
212C22×Dic7—21no—
213C22×Dic7—21no—
214C22×Dic7—21no—
215C22×Dic7C2×D411yescharacteristic
216C22×Dic7C2×D411yescharacteristic
217C22×Dic7C2×D411yescharacteristic
218C22×Dic7C2×D411yescharacteristic
219C2×D28—21no—
220C2×D28—22no—
221C2×D28#4114yes—
222C2×D28C2412yes—
223C2×C4×D7—24no—
224C2×C4×D7—24no—
225C2×C4×D7—24no—
226C2×C4×D7—44no—
227C2×C4×D7—82no—
228C2×C4×D7—82no—
229C2×Dic14—24no—
230C2×Dic14—22no—
231C2×Dic14—22no—
232C2×Dic14—21no—
233C2×Dic14—24no—
234C2×Dic14—82no—
235C2×Dic14C2×D414yes—
236C2×Dic14C2412yes—
237C2×C7×C8—22no—
238C2×C7×C8—22no—
239C2×C7×C8C2412yes—
240C2×C7×C8C2412yes—
241C7×C4⋊C4—24no—
242C7×C4⋊C4—21no—
243C7×C4⋊C4—24no—
244C7×C4⋊C4—21no—
245C7×C4⋊C4—24no—
246C7×C4⋊C4—24no—
247C7×C4⋊C4C2412yes—
248C7×C4⋊C4C2412yes—
249C42×C7C2×D412yes—
250C42×C7C2412yes—
251#1143—28no—
252#1143—28no—
253(C2×D7)⋊C4—24no—
254(C2×D7)⋊C4—24no—
255(C2×D7)⋊C4—24no—
256C4⋊Dic7—21no—
257C4⋊Dic7—21no—
258C4⋊Dic7—24no—
259C4⋊Dic7—24no—
260C4⋊Dic7—24no—
261C4⋊Dic7C2×D414yes—
262C4⋊Dic7C2412yes—
263C4⋊Dic7C2412yes—
264Dic7⋊C4—24no—
265Dic7⋊C4—24no—
266Dic7⋊C4—24no—
267Dic7⋊C4—24no—
268Dic7⋊C4—24no—
269Dic7⋊C4—24no—
270Dic7⋊C4—24no—
271Dic7⋊C4C2×D414yes—
272Dic7⋊C4C2×D414yes—
273C4×Dic7—24no—
274C4×Dic7—24no—
275C4×Dic7—24no—
276C4×Dic7C2×D412yes—
277C4×Dic7C2×D412yes—
278C4×Dic7C2412yes—
279C4×Dic7C2412yes—
280C2×C7⋊C8—22no—
281C2×C7⋊C8—22no—
282C2×C7⋊C8C2412yes—
283C2×C7⋊C8C2412yes—
284#1132—28no—
285C22×SD16—71no—
286C22×SD16—71no—
287C22×SD16—71no—
288#557—78no—
289#557—144no—
290#554—78no—
291#554—144no—
292C2×C4⋊Q8—71no—
293C2×C4⋊Q8—71no—
294C2×C4⋊Q8—71no—
295C2×C4⋊Q8C2×D711yescharacteristic
296C2×#125—71no—
297C2×#125—141no—
298C2×#125—141no—
299C2×#125—141no—
300C2×#125C2×D711yescharacteristic
301C2×C22⋊Q8—141no—
302C2×C22⋊Q8—141no—
303C2×C22⋊Q8—141no—
304C2×C4×Q8—71no—
305C2×C4×Q8—71no—
306C2×C4×Q8—71no—
307C2×C4×Q8—71no—
308C2×C4×Q8—141no—
309C2×C4×D4—71no—
310C2×C4×D4—71no—
311C2×C4×D4—71no—
312C22×C4⋊C4—141no—
313#491—78no—
314#491C2×D718yescomplemented
315#487—78no—
316#479—78no—
317#479—78no—
318#477—78no—
319#461—78no—
320#461—78no—
321#461—78no—
322#446—78no—
323#440—78no—
324#440—78no—
325C4×SD16—78no—
326C2×#107—71no—
327C2×#107—71no—
328C2×#106—71no—
329C2×C4⋊C8—71no—
330C2×C4⋊C8—71no—
331C2×C4⋊C8—71no—
332C2×#103—71no—
333C2×#103—71no—
334C2×#103—71no—
335C2×#103—71no—
336C2×#103—71no—
337C2×#103C2×D711yescharacteristic
338C2×#103C2×D711yescharacteristic
339C2×#103C2×D711yescharacteristic
340C2×#103C2×D711yescharacteristic
341C2×#102—71no—
342C2×#97—71no—
343C2×#97C2×D711yescharacteristic
344C2×C4×C8—71no—
345C23×C7C22×D411yescharacteristic
346C22×D7—24no—
347C22×D7—22no—
348C22×D7—42no—
349C22×D7—42no—
350C7×Q8—22no—
351C7×Q8—22no—
352C7×Q8—22no—
353C7×Q8—22no—
354C7×Q8—42no—
355C7×Q8—42no—
356C2×C4×C7—22no—
357C2×C4×C7—22no—
358C2×C4×C7—22no—
359C2×C4×C7—22no—
360C2×C4×C7—22no—
361C2×C4×C7—22no—
362C2×C4×C7—42no—
363C2×C4×C7—42no—
364C2×C4×C7—42no—
365C2×C4×C7—42no—
366C2×C4×C7C22×D412yes—
367C2×C4×C7C22×D412yes—
368C2×C4×C7C22×D411yescharacteristic
369C2×C4×C7C2×#4112yes—
370C2×C4×C72−1+412yes—
371C2×C4×C7C2511yescharacteristic
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#13714yes—
382C2×Dic7C22×D412yes—
383C2×Dic7C22×D412yes—
384C2×Dic7C22×D412yes—
385C2×Dic7C22×D412yes—
386D28—24no—
387D28—22no—
388D28C2×#4114yes—
389C4×D7—48no—
390C4×D7—84no—
391C4×D7—84no—
392Dic14—28no—
393Dic14—22no—
394Dic14—22no—
395Dic14—42no—
396Dic14—84no—
397C7×C8—22no—
398C7×C8—22no—
399C7⋊C8—22no—
400C7⋊C8—22no—
401C22×Q8—71no—
402C22×Q8—71no—
403C22×Q8—141no—
404C22×Q8C22×D711yescharacteristic
405C22×Q8C22×D711yescharacteristic
406C22×D4—71no—
407C23×C4—141no—
408C23×C4—141no—
409C23×C4—141no—
410C2×SD16—74no—
411C2×SD16—74no—
412C2×SD16—74no—
413C2×SD16—144no—
414C2×SD16—144no—
415C2×SD16—144no—
416C22×C8—71no—
417C22×C8—71no—
418C22×C8C22×D711yescharacteristic
419C22×C8C22×D711yescharacteristic
420C4⋊Q8—22no—
421C4⋊Q8—74no—
422C4⋊Q8—74no—
423C4⋊Q8—74no—
424C4⋊Q8—142no—
425C4⋊Q8—142no—
426C4⋊Q8—142no—
427C4⋊Q8C22×D714yes—
428#125—22no—
429#125—74no—
430#125—142no—
431#125—148no—
432#125—148no—
433#125—148no—
434#125C22×D714yes—
435C22⋊Q8—148no—
436C22⋊Q8—148no—
437C22⋊Q8—148no—
438C4×Q8—74no—
439C4×Q8—74no—
440C4×Q8—74no—
441C4×Q8—74no—
442C4×Q8—74no—
443C4×Q8—142no—
444C4×Q8—142no—
445C4×Q8—148no—
446C4×Q8—142no—
447C4×D4—74no—
448C4×D4—74no—
449C4×D4—74no—
450C4×D4—142no—
451C4×D4—142no—
452C4×D4—142no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—21no—
455C2×C4⋊C4—21no—
456C2×C4⋊C4—21no—
457C2×C4⋊C4—71no—
458C2×C4⋊C4—71no—
459C2×C4⋊C4—71no—
460C2×C4⋊C4—71no—
461C2×C4⋊C4—71no—
462C2×C4⋊C4—148no—
463C2×C4⋊C4—141no—
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—141no—
476C2×C22⋊C4—141no—
477C2×C22⋊C4—141no—
478C2×C42—71no—
479C2×C42—71no—
480C2×C42—141no—
481C2×C42—141no—
482C2×C42—141no—
483C2×C42C22×D711yescharacteristic
484#107—74no—
485#107—74no—
486#106—74no—
487C4⋊C8—74no—
488C4⋊C8—74no—
489C4⋊C8—74no—
490#103—74no—
491#103—74no—
492#103—74no—
493#103—74no—
494#103—74no—
495#103C22×D714yes—
496#103C22×D714yes—
497#103C22×D714yes—
498#103C22×D714yes—
499#102—74no—
500#97—74no—
501#97C22×D714yes—
502C4×C8—74no—
503C22×C7#54812yes—
504C22×C7C2×#13712yes—
505C22×C7#57712yes—
506C22×C7C23×D411yescharacteristic
507C2×D7—24no—
508C2×D7—48no—
509C2×D7—42no—
510C2×D7—42no—
511C4×C7—22no—
512C4×C7—22no—
513C4×C7—42no—
514C4×C7—42no—
515C4×C7—42no—
516C4×C7—42no—
517C4×C7#54812yes—
518C4×C7C22×#4111yescharacteristic
519C4×C7C2×2−1+411yescharacteristic
520Dic7—22no—
521Dic7—22no—
522Dic7—22no—
523Dic7—42no—
524Dic7—42no—
525Dic7—42no—
526Dic7C2×#13714yes—
527C24—141no—
528C2×Q8—21no—
529C2×Q8—21no—
530C2×Q8—22no—
531C2×Q8—22no—
532C2×Q8—22no—
533C2×Q8—22no—
534C2×Q8—74no—
535C2×Q8—72no—
536C2×Q8—144no—
537C2×Q8—144no—
538C2×Q8—141no—
539C2×Q8—142no—
540C2×Q8—142no—
541C2×Q8—562no—
542C2×Q8C23×D712yes—
543C2×Q8C23×D712yes—
544C2×D4—74no—
545C2×D4—72no—
546C2×D4—141no—
547C2×D4—142no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—71no—
553C22×C4—71no—
554C22×C4—71no—
555C22×C4—71no—
556C22×C4—144no—
557C22×C4—144no—
558C22×C4—141no—
559C22×C4—141no—
560C22×C4—141no—
561C22×C4—144no—
562C22×C4—284no—
563C22×C4—562no—
564C22×C4—562no—
565C22×C4D4×D711yescharacteristic
566C22×C4D4×D711yescharacteristic
567C22×C4C23×D711yescharacteristic
568SD16—148no—
569SD16—148no—
570SD16—148no—
571C2×C8—22no—
572C2×C8—22no—
573C2×C8—72no—
574C2×C8—72no—
575C2×C8—142no—
576C2×C8—142no—
577C2×C8C23×D712yes—
578C2×C8C23×D712yes—
579C4⋊C4—24no—
580C4⋊C4—24no—
581C4⋊C4—24no—
582C4⋊C4—24no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—74no—
586C4⋊C4—74no—
587C4⋊C4—74no—
588C4⋊C4—72no—
589C4⋊C4—72no—
590C4⋊C4—144no—
591C4⋊C4—144no—
592C4⋊C4—144no—
593C4⋊C4—144no—
594C4⋊C4—144no—
595C4⋊C4—144no—
596C4⋊C4—144no—
597C4⋊C4—144no—
598C4⋊C4—144no—
599C4⋊C4—144no—
600C4⋊C4—141no—
601C4⋊C4—141no—
602C4⋊C4C23×D712yes—
603C4⋊C4C23×D712yes—
604C22⋊C4—144no—
605C22⋊C4—144no—
606C22⋊C4—144no—
607C42—72no—
608C42—72no—
609C42—72no—
610C42—72no—
611C42—144no—
612C42—144no—
613C42—144no—
614C42D4×D712yes—
615C42C23×D712yes—
616C2×C7#337214yescomplemented
617C2×C7C2×#54811yescharacteristic
618C2×C7C22×#13711yescharacteristic
619C2×C7C2×#57711yescharacteristic
620D7—44no—
621C23—144no—
622C23—142no—
623C23—282no—
624C23—282no—
625C23C2×D4×D711yescharacteristic
626Q8—22no—
627Q8—22no—
628Q8—22no—
629Q8—22no—
630Q8—42no—
631Q8—42no—
632Q8—148no—
633Q8—142no—
634Q8—142no—
635Q8—282no—
636Q8—564no—
637D4—74no—
638D4—144no—
639D4—142no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—74no—
651C2×C4—72no—
652C2×C4—72no—
653C2×C4—72no—
654C2×C4—72no—
655C2×C4—142no—
656C2×C4—142no—
657C2×C4—142no—
658C2×C4—142no—
659C2×C4—142no—
660C2×C4—142no—
661C2×C4—288no—
662C2×C4—282no—
663C2×C4—282no—
664C2×C4—282no—
665C2×C4—564no—
666C2×C4—564no—
667C2×C4C2×D4×D712yes—
668C2×C4C2×D4×D712yes—
669C2×C4C2×D4×D711yescharacteristic
670C2×C4D7×#4112yes—
671C2×C4#655412yes—
672C2×C4C24×D711yescharacteristic
673C8—22no—
674C8—22no—
675C8—142no—
676C8—142no—
677C7C2×#337211yescharacteristic, complemented, Sylow
678C22—144no—
679C22—282no—
680C22—282no—
681C22—288no—
682C22#9036812yes—
683C22D7×#13712yes—
684C22#9046912yes—
685C22C22×D4×D711yescharacteristic
686C4—22no—
687C4—22no—
688C4—42no—
689C4—42no—
690C4—42no—
691C4—42no—
692C4—74no—
693C4—142no—
694C4—142no—
695C4—142no—
696C4—282no—
697C4—282no—
698C4—282no—
699C4#9036812yes—
700C4C2×D7×#4111yescharacteristic
701C4C2×#655411yescharacteristic
702C2—284no—
703C2#1173917714yesdirect product factor
704C2C2×#9036811yescharacteristic
705C2C2×D7×#13711yescharacteristic
706C2C2×#9046911yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C7×#491C2
socleC23×C7C22×D4
prime radicalC22×D28C23
hypercenterC2×#491D7
hypocenterC7C2×#3372
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#491

Complements

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

NH ≅ G/Ntype
1. C2×#90412C2semidirect
3. C2×C7×#491C2semidirect
5. C2×#89835C2semidirect
6. #11739177C2direct (N × H)
9. C2×#89569C2semidirect
10. C2×#89564C2semidirect
11. C2×#89568C2semidirect
12. C2×#89566C2semidirect
16. C2×#89473C2semidirect
27. #90412C22semidirect
45. C7×#491C22semidirect
61. #89835C22semidirect
70. #89569C22semidirect
71. #89568C22semidirect
72. #89566C22semidirect
73. #89564C22semidirect
76. #89473C22semidirect
184. C2×#491D7semidirect
314. #491C2×D7semidirect
616. C2×C7#3372semidirect
677. C7C2×#3372semidirect
703. C2#11739177direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#904122
C2×#903812
C2×C7×#4912
C2×#898552
C2×#898352
#117391772
C2×#895902
C2×#895692
C2×#895642
C2×#895682
C2×#895662
C2×#895892
C2×#895602
C2×#894822
C2×#894732
C2×#33727