Finite Group Databasebeta

← C2×#11741077 #14234323

Subgroups — C2×#11741077 #14234323

Order 1792.

1822 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C7×#554C211yesmaximal, characteristic
2C2×#90258C211yesmaximal, characteristic, complemented
3#11741077C2116yesmaximal, direct product factor
4C2×#89866C211yesmaximal, characteristic, complemented
5C2×#89852C211yesmaximal, characteristic, complemented
6C2×#89835C211yesmaximal, characteristic, complemented
7C2×#89835C211yesmaximal, characteristic, complemented
8C2×#89837C211yesmaximal, characteristic, complemented
9C2×#89836C211yesmaximal, characteristic, complemented
10C2×#89796C211yesmaximal, characteristic, complemented
11C2×C4×#1142C211yesmaximal, characteristic
12C2×#89781C211yesmaximal, characteristic
13C2×#89781C211yesmaximal, characteristic
14C2×#89780C211yesmaximal, characteristic
15C2×#89790C211yesmaximal, characteristic
16C2×#89790C211yesmaximal, characteristic
17C7×#554—24no—
18C7×#554C2218yes—
19C2×C7×C4⋊Q8C2211yescharacteristic
20C2×C7×#125C2211yescharacteristic
21C2×C7×#125C2211yescharacteristic
22C2×C7×C22⋊Q8—21no—
23C2×C7×C22⋊Q8—21no—
24C2×C7×C22⋊Q8—21no—
25C2×C4×C7×Q8C2211yescharacteristic
26C2×C4×C7×D4C2211yescharacteristic
27C2×C4×C7×D4C2211yescharacteristic
28C2×C4×C7×D4C2211yescharacteristic
29C22×C7×C4⋊C4—21no—
30C2×#6507—21no—
31C22×#1142C2211yescharacteristic
32#90258—24no—
33#90258C2218yescomplemented
34C2×#6452—21no—
35C2×#6452—21no—
36C2×#6450—21no—
37C2×#6433C2211yescharacteristic
38C2×#6433C2211yescharacteristic
39C2×#6432C2211yescharacteristic
40C2×C4×Dic14C2211yescharacteristic
41C2×C4×Dic14C2211yescharacteristic
42C2×C4×Dic14C2211yescharacteristic
43C2×#6406C2211yescharacteristic
44C2×#6406C2211yescharacteristic
45C2×#6406C2211yescharacteristic
46#89866C2218yescomplemented
47#89852C2218yescomplemented
48#89837C2218yescomplemented
49#89836C2218yescomplemented
50#89835C2218yescomplemented
51#89835C2218yescomplemented
52#89796C2218yescomplemented
53#89790C2218yes—
54#89790C2218yes—
55C4×#1142C2218yes—
56#89781C2218yes—
57#89781C2218yes—
58#89780C2218yes—
59C2×#6384C2211yescharacteristic
60C2×#6384C2211yescharacteristic
61C2×#6384C2211yescharacteristic
62C2×#6382C2211yescharacteristic
63C2×#6382C2211yescharacteristic
64C2×#6382C2211yescharacteristic
65C2×#6382C2211yescharacteristic
66C2×#6382C2211yescharacteristic
67C2×#6381C2211yescharacteristic
68C2×#6381C2211yescharacteristic
69C2×#6381C2211yescharacteristic
70C2×#6381C2211yescharacteristic
71C2×C4⋊(C7⋊C8)C2211yescharacteristic
72C2×C4⋊(C7⋊C8)C2211yescharacteristic
73C2×C4⋊(C7⋊C8)C2211yescharacteristic
74C2×#6377C2211yescharacteristic
75C2×#6377C2211yescharacteristic
76C2×C4×C7⋊C8C2211yescharacteristic
77C2×#3388—71nomaximal, Sylow
78C22×C7×Q8—21no—
79C22×C7×Q8D411yescharacteristic
80C22×C7×D4C2311yescharacteristic
81C23×C4×C7—21no—
82C23×C4×C7—21no—
83C23×C4×C7—21no—
84C22×Dic14—21no—
85C22×Dic14C2311yescharacteristic
86C7×C4⋊Q8—22no—
87C7×C4⋊Q8C2314yes—
88C7×#125—22no—
89C7×#125—22no—
90C7×#125C2314yes—
91C7×#125C2314yes—
92C7×C22⋊Q8—28no—
93C7×C22⋊Q8—28no—
94C7×C22⋊Q8—28no—
95C4×C7×Q8D414yes—
96C4×C7×Q8C2314yes—
97C4×C7×D4—22no—
98C4×C7×D4—22no—
99C4×C7×D4—22no—
100C4×C7×D4C2314yes—
101C4×C7×D4C2314yes—
102C4×C7×D4C2314yes—
103C2×C7×C4⋊C4—21no—
104C2×C7×C4⋊C4—21no—
105C2×C7×C4⋊C4—21no—
106C2×C7×C4⋊C4—21no—
107C2×C7×C4⋊C4—21no—
108C2×C7×C4⋊C4—28no—
109C2×C7×C4⋊C4D411yescharacteristic
110C2×C7×C4⋊C4D411yescharacteristic
111C2×C7×C4⋊C4D411yescharacteristic
112C2×C7×C4⋊C4C2311yescharacteristic
113C2×C7×C4⋊C4C2311yescharacteristic
114C2×C7×C4⋊C4C2311yescharacteristic
115C2×C7×C22⋊C4—21no—
116C2×C7×C22⋊C4—21no—
117C2×C7×C22⋊C4—21no—
118C2×C42×C7C2311yescharacteristic
119C2×C42×C7C2311yescharacteristic
120C2×C42×C7C2311yescharacteristic
121#6507—28no—
122C2×#1142Q818yescomplemented
123C2×#1142C2314yes—
124C2×C4⋊Dic7—21no—
125C2×C4⋊Dic7C2311yescharacteristic
126C2×C4⋊Dic7C2311yescharacteristic
127C2×C4⋊Dic7C2311yescharacteristic
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—21no—
135C2×C4×Dic7—21no—
136C2×C4×Dic7—21no—
137C2×C4×Dic7—21no—
138C22×C7⋊C8C2311yescharacteristic
139C22×C7⋊C8C2311yescharacteristic
140C22×C7⋊C8C2311yescharacteristic
141C22×C7⋊C8C2311yescharacteristic
142#6452—28no—
143#6452—28no—
144#6450—28no—
145#6433—22no—
146#6433—22no—
147#6433C2314yes—
148#6433C2314yes—
149#6432—22no—
150#6432C2314yes—
151C4×Dic14—22no—
152C4×Dic14—22no—
153C4×Dic14—22no—
154C4×Dic14C2314yes—
155C4×Dic14C2314yes—
156C4×Dic14C2314yes—
157#6406C2314yes—
158#6406C2314yes—
159#6406C2314yes—
160#6384C2314yes—
161#6384C2314yes—
162#6384C2314yes—
163#6382C2314yes—
164#6382C2314yes—
165#6382C2314yes—
166#6382C2314yes—
167#6382C2314yes—
168#6381C2314yes—
169#6381C2314yes—
170#6381C2314yes—
171#6381C2314yes—
172C4⋊(C7⋊C8)C2314yes—
173C4⋊(C7⋊C8)C2314yes—
174C4⋊(C7⋊C8)C2314yes—
175#6377C2314yes—
176#6377C2314yes—
177C4×C7⋊C8C2314yes—
178C2×#557—71no—
179C2×#554D711yescharacteristic
180#3388—716no—
181C2×#501—71no—
182C2×#501—71no—
183C2×#499—71no—
184C2×#479—71no—
185C2×#479—71no—
186C2×#475—71no—
187C2×#478—71no—
188C2×#478—71no—
189C2×#476—71no—
190C2×#446—71no—
191C2×#440—71no—
192C2×#440—71no—
193C2×C4×SD16—71no—
194C24×C7—21no—
195C2×C7×Q8—24no—
196C2×C7×Q8—42no—
197C2×C7×Q8—82no—
198C2×C7×Q8C2×D414yes—
199C2×C7×D4—21no—
200C2×C7×D4—22no—
201C2×C7×D4C2×Q814yes—
202C2×C7×D4C2412yes—
203C22×C4×C7—21no—
204C22×C4×C7—21no—
205C22×C4×C7—21no—
206C22×C4×C7—24no—
207C22×C4×C7—24no—
208C22×C4×C7—24no—
209C22×C4×C7—44no—
210C22×C4×C7—82no—
211C22×C4×C7—82no—
212C22×C4×C7C2×D411yescharacteristic
213C22×C4×C7C2×D411yescharacteristic
214C22×C4×C7C2×D411yescharacteristic
215C22×C4×C7C2×D411yescharacteristic
216C22×C4×C7C2×D411yescharacteristic
217C22×C4×C7C2×D411yescharacteristic
218C22×C4×C7C2411yescharacteristic
219C22×Dic7—21no—
220C22×Dic7—21no—
221C22×Dic7—21no—
222C22×Dic7—21no—
223C2×Dic14—21no—
224C2×Dic14—22no—
225C2×Dic14—24no—
226C2×Dic14—44no—
227C2×Dic14C2×Q814yes—
228C2×Dic14C2412yes—
229C7×C4⋊C4—24no—
230C7×C4⋊C4—24no—
231C7×C4⋊C4—24no—
232C7×C4⋊C4—24no—
233C7×C4⋊C4—24no—
234C7×C4⋊C4—21no—
235C7×C4⋊C4—21no—
236C7×C4⋊C4—21no—
237C7×C4⋊C4C2×D414yes—
238C7×C4⋊C4C2×D414yes—
239C7×C4⋊C4C2×D414yes—
240C7×C4⋊C4C2412yes—
241C7×C4⋊C4C2412yes—
242C7×C4⋊C4C2412yes—
243C7×C22⋊C4—24no—
244C7×C22⋊C4—24no—
245C7×C22⋊C4—24no—
246C42×C7C2×D412yes—
247C42×C7C2×D412yes—
248C42×C7C2×D412yes—
249C42×C7C2412yes—
250C42×C7C2412yes—
251C42×C7C2412yes—
252#1142C2×Q8116yescomplemented
253C4⋊Dic7—21no—
254C4⋊Dic7—21no—
255C4⋊Dic7—21no—
256C4⋊Dic7—24no—
257C4⋊Dic7C2412yes—
258C4⋊Dic7C2412yes—
259C4⋊Dic7C2412yes—
260Dic7⋊C4—24no—
261Dic7⋊C4—24no—
262Dic7⋊C4—24no—
263Dic7⋊C4—24no—
264Dic7⋊C4—24no—
265Dic7⋊C4—24no—
266Dic7⋊C4—24no—
267C4×Dic7—24no—
268C4×Dic7—24no—
269C4×Dic7—24no—
270C2×C7⋊C8—22no—
271C2×C7⋊C8—22no—
272C2×C7⋊C8—22no—
273C2×C7⋊C8C2×Q814yes—
274C2×C7⋊C8C2412yes—
275C2×C7⋊C8C2412yes—
276C2×C7⋊C8C2412yes—
277C2×C7⋊C8C2412yes—
278C22×SD16—71no—
279#557—78no—
280#557—144no—
281#554—24no—
282#554C2×D718yes—
283C2×C4⋊Q8—71no—
284C2×C4⋊Q8—141no—
285C2×C4⋊Q8C2×D711yescharacteristic
286C2×#125—71no—
287C2×#125—71no—
288C2×#125—141no—
289C2×#125—141no—
290C2×#125C2×D711yescharacteristic
291C2×#125C2×D711yescharacteristic
292C2×C22⋊Q8—21no—
293C2×C22⋊Q8—21no—
294C2×C22⋊Q8—21no—
295C2×C4×Q8—71no—
296C2×C4×Q8—71no—
297C2×C4×Q8—71no—
298C2×C4×Q8—141no—
299C2×C4×Q8C2×D711yescharacteristic
300C2×C4×D4C2×D711yescharacteristic
301C2×C4×D4C2×D711yescharacteristic
302C2×C4×D4C2×D711yescharacteristic
303C22×C4⋊C4—21no—
304#501—78no—
305#501—78no—
306#499—78no—
307#479—78no—
308#479—78no—
309#478—78no—
310#478—78no—
311#476—78no—
312#475—78no—
313#446—78no—
314#440—78no—
315#440—78no—
316C4×SD16—78no—
317C2×#107—71no—
318C2×#107—71no—
319C2×#107—71no—
320C2×#107—71no—
321C2×#106—71no—
322C2×#106—71no—
323C2×#106—71no—
324C2×#106—71no—
325C2×#106—71no—
326C2×C4⋊C8—71no—
327C2×C4⋊C8—71no—
328C2×C4⋊C8—71no—
329C2×#103—71no—
330C2×#103—71no—
331C2×#103—71no—
332C2×#102—71no—
333C2×#102—71no—
334C2×#102—71no—
335C2×#97—71no—
336C2×#97—71no—
337C2×C4×C8—71no—
338C23×C7—24no—
339C23×C7—22no—
340C23×C7—42no—
341C23×C7—42no—
342C23×C7C22×D411yescharacteristic
343C7×Q8—44no—
344C7×Q8—84no—
345C7×D4—24no—
346C7×D4—22no—
347C7×D4C22×Q814yes—
348C2×C4×C7—22no—
349C2×C4×C7—22no—
350C2×C4×C7—22no—
351C2×C4×C7—22no—
352C2×C4×C7—22no—
353C2×C4×C7—22no—
354C2×C4×C7—22no—
355C2×C4×C7—22no—
356C2×C4×C7—22no—
357C2×C4×C7—48no—
358C2×C4×C7—42no—
359C2×C4×C7—42no—
360C2×C4×C7—42no—
361C2×C4×C7—84no—
362C2×C4×C7—84no—
363C2×C4×C7C22×D412yes—
364C2×C4×C7C22×D412yes—
365C2×C4×C7C22×D412yes—
366C2×C4×C7C22×D412yes—
367C2×C4×C7C22×D412yes—
368C2×C4×C7C22×D412yes—
369C2×C4×C7C22×D411yescharacteristic
370C2×C4×C7C22×Q812yes—
371C2×C4×C72−1+412yes—
372C2×C4×C7C2511yescharacteristic
373C2×Dic7—24no—
374C2×Dic7—22no—
375C2×Dic7—22no—
376C2×Dic7—22no—
377C2×Dic7—22no—
378C2×Dic7—42no—
379C2×Dic7—42no—
380C2×Dic7—42no—
381Dic14—24no—
382Dic14—22no—
383Dic14—48no—
384Dic14C22×Q814yes—
385C7⋊C8—22no—
386C7⋊C8—22no—
387C7⋊C8—22no—
388C7⋊C8C22×Q814yes—
389C22×Q8—21no—
390C22×Q8—71no—
391C22×Q8—141no—
392C22×Q8C22⋊D711yescharacteristic
393C22×D4C22×D711yescharacteristic
394C23×C4—21no—
395C23×C4—21no—
396C23×C4—21no—
397C2×SD16—78no—
398C2×SD16—74no—
399C22×C8—71no—
400C22×C8—71no—
401C22×C8—71no—
402C22×C8—71no—
403C4⋊Q8—22no—
404C4⋊Q8—74no—
405C4⋊Q8—148no—
406C4⋊Q8—142no—
407C4⋊Q8C22×D714yes—
408#125—22no—
409#125—22no—
410#125—74no—
411#125—74no—
412#125—148no—
413#125—148no—
414#125—142no—
415#125—142no—
416#125C22×D714yes—
417#125C22×D714yes—
418C22⋊Q8—28no—
419C22⋊Q8—28no—
420C22⋊Q8—28no—
421C4×Q8—74no—
422C4×Q8—74no—
423C4×Q8—74no—
424C4×Q8—148no—
425C4×Q8—142no—
426C4×Q8—142no—
427C4×Q8—142no—
428C4×Q8C22⋊D714yes—
429C4×Q8C22×D714yes—
430C4×D4—22no—
431C4×D4—22no—
432C4×D4—22no—
433C4×D4C22×D714yes—
434C4×D4C22×D714yes—
435C4×D4C22×D714yes—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—21no—
441C2×C4⋊C4—28no—
442C2×C4⋊C4—71no—
443C2×C4⋊C4—71no—
444C2×C4⋊C4—71no—
445C2×C4⋊C4—141no—
446C2×C4⋊C4—141no—
447C2×C4⋊C4—141no—
448C2×C4⋊C4—141no—
449C2×C4⋊C4—141no—
450C2×C4⋊C4—141no—
451C2×C4⋊C4—141no—
452C2×C4⋊C4—141no—
453C2×C4⋊C4C22⋊D711yescharacteristic
454C2×C4⋊C4C22⋊D711yescharacteristic
455C2×C4⋊C4C22⋊D711yescharacteristic
456C2×C4⋊C4C22×D711yescharacteristic
457C2×C4⋊C4C22×D711yescharacteristic
458C2×C4⋊C4C22×D711yescharacteristic
459C2×C22⋊C4—21no—
460C2×C22⋊C4—21no—
461C2×C22⋊C4—21no—
462C2×C42—141no—
463C2×C42—141no—
464C2×C42—141no—
465C2×C42C22×D711yescharacteristic
466C2×C42C22×D711yescharacteristic
467C2×C42C22×D711yescharacteristic
468#107—74no—
469#107—74no—
470#107—74no—
471#107—74no—
472#106—74no—
473#106—74no—
474#106—74no—
475#106—74no—
476#106—74no—
477C4⋊C8—74no—
478C4⋊C8—74no—
479C4⋊C8—74no—
480#103—74no—
481#103—74no—
482#103—74no—
483#102—74no—
484#102—74no—
485#102—74no—
486#97—74no—
487#97—74no—
488C4×C8—74no—
489C22×C7—24no—
490C22×C7—48no—
491C22×C7—42no—
492C22×C7—42no—
493C22×C7D4×Q812yes—
494C22×C7#57512yes—
495C22×C7#57712yes—
496C22×C7C23×D411yescharacteristic
497C4×C7—22no—
498C4×C7—22no—
499C4×C7—22no—
500C4×C7—22no—
501C4×C7—22no—
502C4×C7—22no—
503C4×C7—42no—
504C4×C7—42no—
505C4×C7—42no—
506C4×C7D4×Q812yes—
507C4×C7C23×Q811yescharacteristic
508C4×C7C2×2−1+411yescharacteristic
509Dic7—24no—
510Dic7—42no—
511Dic7—42no—
512Dic7—42no—
513C24—21no—
514C2×Q8—24no—
515C2×Q8—42no—
516C2×Q8—74no—
517C2×Q8—72no—
518C2×Q8—82no—
519C2×Q8—142no—
520C2×Q8—141no—
521C2×Q8—144no—
522C2×Q8—284no—
523C2×Q8C2×C22⋊D714yes—
524C2×D4—22no—
525C2×D4—21no—
526C2×D4Q8×D714yes—
527C2×D4C23×D712yes—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—24no—
532C22×C4—24no—
533C22×C4—24no—
534C22×C4—44no—
535C22×C4—82no—
536C22×C4—82no—
537C22×C4—141no—
538C22×C4—141no—
539C22×C4—141no—
540C22×C4—141no—
541C22×C4C2×C22⋊D711yescharacteristic
542C22×C4C2×C22⋊D711yescharacteristic
543C22×C4C2×C22⋊D711yescharacteristic
544C22×C4C2×C22⋊D711yescharacteristic
545C22×C4C2×C22⋊D711yescharacteristic
546C22×C4C2×C22⋊D711yescharacteristic
547C22×C4C23×D711yescharacteristic
548SD16—716no—
549C2×C8—74no—
550C2×C8—72no—
551C2×C8—72no—
552C2×C8—72no—
553C2×C8—72no—
554C2×C8—142no—
555C2×C8—142no—
556C2×C8—142no—
557C4⋊C4—24no—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—24no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—72no—
566C4⋊C4—72no—
567C4⋊C4—72no—
568C4⋊C4—144no—
569C4⋊C4—144no—
570C4⋊C4—144no—
571C4⋊C4—144no—
572C4⋊C4—144no—
573C4⋊C4—144no—
574C4⋊C4—144no—
575C4⋊C4—141no—
576C4⋊C4—141no—
577C4⋊C4—141no—
578C4⋊C4—144no—
579C4⋊C4C2×C22⋊D714yes—
580C4⋊C4C2×C22⋊D714yes—
581C4⋊C4C2×C22⋊D714yes—
582C4⋊C4C23×D712yes—
583C4⋊C4C23×D712yes—
584C4⋊C4C23×D712yes—
585C22⋊C4—24no—
586C22⋊C4—24no—
587C22⋊C4—24no—
588C42—144no—
589C42—144no—
590C42—144no—
591C42C2×C22⋊D712yes—
592C42C2×C22⋊D712yes—
593C42C2×C22⋊D712yes—
594C42C23×D712yes—
595C42C23×D712yes—
596C42C23×D712yes—
597C2×C7—44no—
598C2×C7#338814yescomplemented
599C2×C7C2×D4×Q811yescharacteristic
600C2×C7C2×#57511yescharacteristic
601C2×C7C2×#57711yescharacteristic
602C23—24no—
603C23—22no—
604C23—42no—
605C23—42no—
606C23C22×C22⋊D711yescharacteristic
607Q8—44no—
608Q8—74no—
609Q8—84no—
610Q8—144no—
611Q8—142no—
612Q8—288no—
613D4—24no—
614D4—22no—
615D4C2×Q8×D714yes—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—48no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—84no—
630C2×C4—84no—
631C2×C4—144no—
632C2×C4—142no—
633C2×C4—142no—
634C2×C4—142no—
635C2×C4—142no—
636C2×C4—282no—
637C2×C4—282no—
638C2×C4—282no—
639C2×C4C2×Q8×D712yes—
640C2×C4#655112yes—
641C2×C4C22×C22⋊D712yes—
642C2×C4C22×C22⋊D712yes—
643C2×C4C22×C22⋊D712yes—
644C2×C4C22×C22⋊D712yes—
645C2×C4C22×C22⋊D712yes—
646C2×C4C22×C22⋊D712yes—
647C2×C4C22×C22⋊D711yescharacteristic
648C2×C4C24×D711yescharacteristic
649C8—74no—
650C8—142no—
651C8—142no—
652C8—142no—
653C7C2×#338811yescharacteristic, complemented, Sylow
654C22—24no—
655C22—42no—
656C22—42no—
657C22—48no—
658C22Q8×C22⋊D712yes—
659C22#9051312yes—
660C22#9052712yes—
661C22C23×C22⋊D711yescharacteristic
662C4—22no—
663C4—22no—
664C4—22no—
665C4—22no—
666C4—22no—
667C4—22no—
668C4—42no—
669C4—42no—
670C4—42no—
671C4—144no—
672C4—282no—
673C4—282no—
674C4—282no—
675C4Q8×C22⋊D712yes—
676C4C22×Q8×D711yescharacteristic
677C4C2×#655111yescharacteristic
678C2—44no—
679C2#1174107714yesdirect product factor
680C2C2×Q8×C22⋊D711yescharacteristic
681C2C2×#9051311yescharacteristic
682C2C2×#9052711yescharacteristic
subgroupG/H
centerC23C22×C22⋊D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C7×#554C2
socleC23×C7C22×D4
prime radicalC22×C7×D4C23
hypercenterC2×#554D7
hypocenterC7C2×#3388
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#554

Complements

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

NH ≅ G/Ntype
2. C2×#90258C2semidirect
3. #11741077C2direct (N × H)
4. C2×#89866C2semidirect
5. C2×#89852C2semidirect
6. C2×#89835C2semidirect
7. C2×#89835C2semidirect
8. C2×#89837C2semidirect
9. C2×#89836C2semidirect
10. C2×#89796C2semidirect
33. #90258C22semidirect
46. #89866C22semidirect
47. #89852C22semidirect
48. #89837C22semidirect
49. #89836C22semidirect
50. #89835C22semidirect
51. #89835C22semidirect
52. #89796C22semidirect
122. C2×#1142Q8semidirect
252. #1142C2×Q8semidirect
598. C2×C7#3388semidirect
653. C7C2×#3388semidirect
679. C2#11741077direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C7×#5542
C2×#902582
#117410772
C2×#898662
C2×#898522
C2×#898352
C2×#898372
C2×#898362
C2×#897962
C2×C4×#11422
C2×#897812
C2×#897802
C2×#897902
C2×#33887