Finite Group Databasebeta

← C2×#11739440 #14232406

Subgroups — C2×#11739440 #14232406

Order 1792.

1898 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90425C211yesmaximal, characteristic
2C2×#90385C211yesmaximal, characteristic, complemented
3C2×C7×#501C211yesmaximal, characteristic, complemented
4C2×#89866C211yesmaximal, characteristic, complemented
5C2×#89838C211yesmaximal, characteristic, complemented
6#11739440C2116yesmaximal, direct product factor
7C2×#89660C211yesmaximal, characteristic, complemented
8C2×#89658C211yesmaximal, characteristic, complemented
9C2×#89652C211yesmaximal, characteristic, complemented
10C2×#89657C211yesmaximal, characteristic, complemented
11C2×#89635C211yesmaximal, characteristic, complemented
12C2×#89636C211yesmaximal, characteristic, complemented
13C2×#89633C211yesmaximal, characteristic, complemented
14C2×#89639C211yesmaximal, characteristic, complemented
15C2×#89482C211yesmaximal, characteristic, complemented
16C2×#89478C211yesmaximal, characteristic, complemented
17C2×C7×C4⋊Q8C2211yescharacteristic
18C2×C7×#125C2211yescharacteristic
19C2×#6510—21no—
20C2×#6510—21no—
21C22×#1132C2211yescharacteristic
22C22×#1131C2211yescharacteristic
23C22×C8×D7C2211yescharacteristic
24#90425—24no—
25#90425C2218yes—
26#90385—24no—
27#90385C2218yescomplemented
28C2×#6461—21no—
29C2×#6460C2211yescharacteristic
30C2×#6460C2211yescharacteristic
31C2×#6458—21no—
32C2×#6458C2211yescharacteristic
33C2×#6458C2211yescharacteristic
34C2×#6457—21no—
35C2×#6455—21no—
36C2×#6455—21no—
37C2×#6455C2211yescharacteristic
38C2×#6455C2211yescharacteristic
39C2×#6455C2211yescharacteristic
40C2×D7×C4⋊C4C2211yescharacteristic
41C2×#6453—21no—
42C2×C4×D28C2211yescharacteristic
43C2×C4×D28C2211yescharacteristic
44C2×C4×Dic14C2211yescharacteristic
45C7×#501C2218yescomplemented
46C2×C7×#107C2211yescharacteristic
47C2×C7×#107C2211yescharacteristic
48C2×C7×#106C2211yescharacteristic
49C2×C7×#106C2211yescharacteristic
50C2×C7×#97C2211yescharacteristic
51C2×#6395C2211yescharacteristic
52C2×(C2×D7)⋊C8C2211yescharacteristic
53C2×(C2×D7)⋊C8C2211yescharacteristic
54C2×#6392C2211yescharacteristic
55C2×#6390C2211yescharacteristic
56#89866C2218yescomplemented
57#89838C2218yescomplemented
58C2×#6384C2211yescharacteristic
59C2×#6384C2211yescharacteristic
60C2×#6383C2211yescharacteristic
61C2×#6383C2211yescharacteristic
62C2×#6382C2211yescharacteristic
63C2×#6382C2211yescharacteristic
64C2×#6382C2211yescharacteristic
65C2×#6381C2211yescharacteristic
66C2×C4⋊(C7⋊C8)C2211yescharacteristic
67#89660C2218yescomplemented
68#89658C2218yescomplemented
69#89657C2218yescomplemented
70#89652C2218yescomplemented
71#89639C2218yescomplemented
72#89636C2218yescomplemented
73#89635C2218yescomplemented
74#89633C2218yescomplemented
75#89482C2218yescomplemented
76#89478C2218yescomplemented
77C2×#3348—71nomaximal, Sylow
78C22×C7×Q8—21no—
79C22×D28—21no—
80C22×D28—21no—
81C22×D28D411yescharacteristic
82C22×D28C2311yescharacteristic
83C22×C4×D7—21no—
84C22×C4×D7—21no—
85C22×C4×D7C2311yescharacteristic
86C22×C4×D7C2311yescharacteristic
87C22×Dic14C2311yescharacteristic
88C22×C7×C8C2311yescharacteristic
89C22×C7×C8C2311yescharacteristic
90C7×C4⋊Q8—22no—
91C7×C4⋊Q8C2314yes—
92C7×#125—22no—
93C7×#125C2314yes—
94C2×C7×C4⋊C4—21no—
95C2×C7×C4⋊C4—21no—
96C2×C7×C4⋊C4—21no—
97C2×C7×C4⋊C4C2311yescharacteristic
98C2×C7×C4⋊C4C2311yescharacteristic
99C2×C7×C4⋊C4C2311yescharacteristic
100C2×C7×C4⋊C4C2311yescharacteristic
101C2×C42×C7C2311yescharacteristic
102#6510—28no—
103#6510—28no—
104C2×(C2×D7)⋊C4—21no—
105C2×(C2×D7)⋊C4—21no—
106C2×(C2×D7)⋊C4—21no—
107C2×(C2×D7)⋊C4—21no—
108C2×(C2×D7)⋊C4—21no—
109C2×(C2×D7)⋊C4—21no—
110C2×(C2×D7)⋊C4—21no—
111C2×(C2×D7)⋊C4—21no—
112C2×(C2×D7)⋊C4D411yescharacteristic
113C2×(C2×D7)⋊C4D411yescharacteristic
114C2×C4⋊Dic7—21no—
115C2×C4⋊Dic7—21no—
116C2×C4⋊Dic7D411yescharacteristic
117C2×C4⋊Dic7C2311yescharacteristic
118C2×C4⋊Dic7C2311yescharacteristic
119C2×Dic7⋊C4—21no—
120C2×Dic7⋊C4—21no—
121C2×C4×Dic7—21no—
122C2×C4×Dic7—21no—
123C2×C4×Dic7—21no—
124C2×C4×Dic7—21no—
125C22×C7⋊C8C2311yescharacteristic
126C22×C7⋊C8C2311yescharacteristic
127C2×#1132—24no—
128C2×#1132C2314yes—
129C2×#1131—24no—
130C2×#1131C2314yes—
131C2×C8×D7—24no—
132C2×C8×D7C2314yes—
133#6461—28no—
134#6460—22no—
135#6460—22no—
136#6460C2314yes—
137#6460C2314yes—
138#6458—28no—
139#6458—22no—
140#6458—22no—
141#6458C2314yes—
142#6458C2314yes—
143#6457—28no—
144#6455—22no—
145#6455—22no—
146#6455—22no—
147#6455—28no—
148#6455—28no—
149#6455C2314yes—
150#6455C2314yes—
151#6455C2314yes—
152D7×C4⋊C4—22no—
153D7×C4⋊C4C2314yes—
154#6453—28no—
155C4×D28—22no—
156C4×D28D414yes—
157C4×D28C2314yes—
158C4×D28C2314yes—
159C4×Dic14—22no—
160C4×Dic14C2314yes—
161C7×#107C2314yes—
162C7×#107C2314yes—
163C7×#106C2314yes—
164C7×#106C2314yes—
165C7×#97C2314yes—
166#6395C2314yes—
167(C2×D7)⋊C8C2314yes—
168(C2×D7)⋊C8C2314yes—
169#6392C2314yes—
170#6390C2314yes—
171#6384C2314yes—
172#6384C2314yes—
173#6383C2314yes—
174#6383C2314yes—
175#6382C2314yes—
176#6382C2314yes—
177#6382C2314yes—
178#6381C2314yes—
179C4⋊(C7⋊C8)C2314yes—
180C2×#555—71no—
181C2×#552—71no—
182#3348—716no—
183C2×#501D711yescharacteristic, complemented
184C2×#481—71no—
185C2×#485—71no—
186C2×#485—71no—
187C2×#482—71no—
188C2×#475—71no—
189C2×#478—71no—
190C2×#468—71no—
191C2×#465—71no—
192C2×#440—71no—
193C2×#435—71no—
194C2×#428—71no—
195C2×#427—71no—
196C23×D7—21no—
197C23×D7C2×D411yescharacteristic
198C23×D7C2×D411yescharacteristic
199C2×C7×Q8—24no—
200C2×C7×Q8—82no—
201C22×C4×C7—21no—
202C22×C4×C7—21no—
203C22×C4×C7—21no—
204C22×C4×C7—21no—
205C22×C4×C7C2×D411yescharacteristic
206C22×C4×C7C2×D411yescharacteristic
207C22×C4×C7C2411yescharacteristic
208C22×Dic7—21no—
209C22×Dic7—21no—
210C22×Dic7—21no—
211C22×Dic7C2×D411yescharacteristic
212C22×Dic7C2×D411yescharacteristic
213C2×D28—22no—
214C2×D28—22no—
215C2×D28—21no—
216C2×D28—24no—
217C2×D28—24no—
218C2×D28—42no—
219C2×D28—82no—
220C2×D28—82no—
221C2×D28C2×D414yes—
222C2×D28C2412yes—
223C2×C4×D7—22no—
224C2×C4×D7—22no—
225C2×C4×D7—22no—
226C2×C4×D7—22no—
227C2×C4×D7—24no—
228C2×C4×D7—24no—
229C2×C4×D7—44no—
230C2×C4×D7—44no—
231C2×C4×D7C2×D412yes—
232C2×C4×D7C2×D412yes—
233C2×C4×D7C2412yes—
234C2×C4×D7C2412yes—
235C2×Dic14—22no—
236C2×Dic14—22no—
237C2×Dic14—21no—
238C2×Dic14C2412yes—
239C2×C7×C8—22no—
240C2×C7×C8#4114yes—
241C2×C7×C8C2412yes—
242C2×C7×C8C2412yes—
243C7×C4⋊C4—24no—
244C7×C4⋊C4—21no—
245C7×C4⋊C4—24no—
246C7×C4⋊C4—21no—
247C7×C4⋊C4—21no—
248C7×C4⋊C4—21no—
249C7×C4⋊C4—24no—
250C7×C4⋊C4C2412yes—
251C7×C4⋊C4C2412yes—
252C7×C4⋊C4C2412yes—
253C7×C4⋊C4C2412yes—
254C42×C7C2×D412yes—
255C42×C7C2412yes—
256(C2×D7)⋊C4—24no—
257(C2×D7)⋊C4—24no—
258(C2×D7)⋊C4—24no—
259(C2×D7)⋊C4—24no—
260(C2×D7)⋊C4—24no—
261(C2×D7)⋊C4—24no—
262(C2×D7)⋊C4—24no—
263(C2×D7)⋊C4—24no—
264(C2×D7)⋊C4C2×D414yes—
265(C2×D7)⋊C4C2×D414yes—
266C4⋊Dic7—21no—
267C4⋊Dic7—21no—
268C4⋊Dic7—24no—
269C4⋊Dic7—24no—
270C4⋊Dic7C2×D414yes—
271C4⋊Dic7C2412yes—
272C4⋊Dic7C2412yes—
273Dic7⋊C4—24no—
274Dic7⋊C4—24no—
275C4×Dic7—24no—
276C4×Dic7—24no—
277C4×Dic7—24no—
278C4×Dic7—24no—
279C2×C7⋊C8—22no—
280C2×C7⋊C8—22no—
281C2×C7⋊C8C2412yes—
282C2×C7⋊C8C2412yes—
283#1132—28no—
284#1131—28no—
285C8×D7—28no—
286C22×SD16—71no—
287C22×M16—71no—
288C23×C8—71no—
289#555—78no—
290#555—144no—
291#552—78no—
292#552—144no—
293C2×C4⋊Q8C2×D711yescharacteristic
294C2×#126—141no—
295C2×#125—141no—
296C2×#125C2×D711yescharacteristic
297C2×#124—141no—
298C2×#124—141no—
299C2×#123—141no—
300C2×C22⋊Q8—71no—
301C2×C22⋊Q8—71no—
302C2×#121—71no—
303C2×#121—71no—
304C2×#121—141no—
305C2×C4×Q8—71no—
306C2×C4×D4—71no—
307C2×C4×D4—71no—
308C2×#117—71no—
309C2×#117—71no—
310C2×#117—71no—
311C2×#117—141no—
312C2×#117—141no—
313C22×C4⋊C4—71no—
314#501C2×D718yescomplemented
315#485—78no—
316#485—78no—
317#482—78no—
318#481—78no—
319#478—78no—
320#475—78no—
321#468—78no—
322#465—78no—
323#440—78no—
324#435—78no—
325#428—78no—
326#427—78no—
327C2×#107—71no—
328C2×#107—71no—
329C2×#107C2×D711yescharacteristic
330C2×#107C2×D711yescharacteristic
331C2×#106—71no—
332C2×#106—71no—
333C2×#106—71no—
334C2×#106C2×D711yescharacteristic
335C2×#106C2×D711yescharacteristic
336C2×C4⋊C8—71no—
337C2×#103—71no—
338C2×#103—71no—
339C2×#103—71no—
340C2×#102—71no—
341C2×#102—71no—
342C2×#102—71no—
343C2×C22⋊C8—71no—
344C2×C22⋊C8—71no—
345C2×#97C2×D711yescharacteristic
346C23×C7C22×D411yescharacteristic
347C22×D7—22no—
348C22×D7—22no—
349C22×D7—22no—
350C22×D7—22no—
351C22×D7—22no—
352C22×D7—22no—
353C22×D7—22no—
354C22×D7—42no—
355C22×D7—42no—
356C22×D7—42no—
357C22×D7C22×D412yes—
358C22×D7C22×D412yes—
359C7×Q8—84no—
360C2×C4×C7—22no—
361C2×C4×C7—22no—
362C2×C4×C7—22no—
363C2×C4×C7—22no—
364C2×C4×C7—22no—
365C2×C4×C7—22no—
366C2×C4×C7—42no—
367C2×C4×C7—42no—
368C2×C4×C7—42no—
369C2×C4×C7—42no—
370C2×C4×C7C22×D412yes—
371C2×C4×C7C22×D412yes—
372C2×C4×C7C22×D411yescharacteristic
373C2×C4×C7C2×#4112yes—
374C2×C4×C72−1+412yes—
375C2×C4×C7C2511yescharacteristic
376C2×Dic7—22no—
377C2×Dic7—22no—
378C2×Dic7—22no—
379C2×Dic7—22no—
380C2×Dic7—22no—
381C2×Dic7—42no—
382C2×Dic7—42no—
383C2×Dic7—42no—
384C2×Dic7C22×D412yes—
385C2×Dic7C22×D412yes—
386D28—22no—
387D28—22no—
388D28—44no—
389D28—42no—
390D28—84no—
391D28—84no—
392C4×D7—24no—
393C4×D7—24no—
394C4×D7—22no—
395C4×D7—22no—
396C4×D7—22no—
397C4×D7—22no—
398C4×D7—48no—
399C4×D7—48no—
400Dic14—22no—
401Dic14—22no—
402Dic14—42no—
403C7×C8—22no—
404C7×C8C2×#4114yes—
405C7⋊C8—22no—
406C7⋊C8—22no—
407C22×Q8—21no—
408C22×Q8—71no—
409C22×D4—71no—
410C22×D4—71no—
411C22×D4—141no—
412C22×D4—141no—
413C23×C4—71no—
414C23×C4—71no—
415C23×C4—141no—
416C23×C4—141no—
417C2×SD16—74no—
418C2×SD16—144no—
419C2×M16—74no—
420C2×M16—144no—
421C22×C8—71no—
422C22×C8—71no—
423C22×C8—74no—
424C22×C8—144no—
425C22×C8C22×D711yescharacteristic
426C22×C8C22×D711yescharacteristic
427C4⋊Q8—22no—
428C4⋊Q8C22×D714yes—
429#126—148no—
430#125—22no—
431#125—148no—
432#125C22×D714yes—
433#124—148no—
434#124—148no—
435#123—148no—
436C22⋊Q8—74no—
437C22⋊Q8—74no—
438C22⋊Q8—142no—
439C22⋊Q8—142no—
440#121—74no—
441#121—74no—
442#121—142no—
443#121—142no—
444#121—148no—
445C4×Q8—74no—
446C4×Q8—142no—
447C4×D4—74no—
448C4×D4—74no—
449C4×D4—74no—
450C4×D4—142no—
451#117—74no—
452#117—74no—
453#117—74no—
454#117—148no—
455#117—148no—
456#117—142no—
457#117—142no—
458#117—142no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—71no—
463C2×C4⋊C4—71no—
464C2×C4⋊C4—71no—
465C2×C4⋊C4—74no—
466C2×C4⋊C4—142no—
467C2×C4⋊C4—141no—
468C2×C4⋊C4—141no—
469C2×C4⋊C4—141no—
470C2×C4⋊C4—141no—
471C2×C4⋊C4C22×D711yescharacteristic
472C2×C4⋊C4C22×D711yescharacteristic
473C2×C4⋊C4C22×D711yescharacteristic
474C2×C4⋊C4C22×D711yescharacteristic
475C2×C22⋊C4—71no—
476C2×C22⋊C4—71no—
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×C22⋊C4—141no—
484C2×C22⋊C4—141no—
485C2×C42—141no—
486C2×C42—141no—
487C2×C42—141no—
488C2×C42—141no—
489C2×C42C22×D711yescharacteristic
490#107—74no—
491#107—74no—
492#107C22×D714yes—
493#107C22×D714yes—
494#106—74no—
495#106—74no—
496#106—74no—
497#106C22×D714yes—
498#106C22×D714yes—
499C4⋊C8—74no—
500#103—74no—
501#103—74no—
502#103—74no—
503#102—74no—
504#102—74no—
505#102—74no—
506C22⋊C8—74no—
507C22⋊C8—74no—
508#97C22×D714yes—
509C22×C7#54712yes—
510C22×C7#57512yes—
511C22×C7#57712yes—
512C22×C7C23×D411yescharacteristic
513C2×D7—22no—
514C2×D7—22no—
515C2×D7—22no—
516C2×D7—22no—
517C2×D7—22no—
518C2×D7—22no—
519C2×D7—44no—
520C2×D7—44no—
521C2×D7—42no—
522C2×D7—42no—
523C2×D7—42no—
524C2×D7—84no—
525C4×C7—22no—
526C4×C7—22no—
527C4×C7—42no—
528C4×C7—42no—
529C4×C7—42no—
530C4×C7—42no—
531C4×C7#54712yes—
532C4×C7C22×#4111yescharacteristic
533C4×C7C2×2−1+411yescharacteristic
534Dic7—22no—
535Dic7—22no—
536Dic7—42no—
537Dic7—42no—
538Dic7—42no—
539C24—71no—
540C24—71no—
541C24—141no—
542C2×Q8—24no—
543C2×Q8—72no—
544C2×Q8—82no—
545C2×Q8—141no—
546C2×Q8—142no—
547C2×Q8—142no—
548C2×D4—74no—
549C2×D4—72no—
550C2×D4—144no—
551C2×D4—144no—
552C2×D4—141no—
553C2×D4—142no—
554C2×D4—142no—
555C2×D4—282no—
556C2×D4—562no—
557C2×D4—562no—
558C22×C4—21no—
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—71no—
563C22×C4—71no—
564C22×C4—72no—
565C22×C4—72no—
566C22×C4—72no—
567C22×C4—72no—
568C22×C4—144no—
569C22×C4—142no—
570C22×C4—142no—
571C22×C4—142no—
572C22×C4—142no—
573C22×C4—141no—
574C22×C4—141no—
575C22×C4—141no—
576C22×C4—144no—
577C22×C4—284no—
578C22×C4—284no—
579C22×C4D4×D711yescharacteristic
580C22×C4D4×D711yescharacteristic
581C22×C4C23×D711yescharacteristic
582SD16—148no—
583M16—148no—
584C2×C8—22no—
585C2×C8—72no—
586C2×C8—72no—
587C2×C8—142no—
588C2×C8—142no—
589C2×C8—148no—
590C2×C8#116114yes—
591C2×C8C23×D712yes—
592C2×C8C23×D712yes—
593C4⋊C4—24no—
594C4⋊C4—24no—
595C4⋊C4—24no—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—21no—
599C4⋊C4—21no—
600C4⋊C4—74no—
601C4⋊C4—72no—
602C4⋊C4—72no—
603C4⋊C4—144no—
604C4⋊C4—144no—
605C4⋊C4—144no—
606C4⋊C4—144no—
607C4⋊C4—141no—
608C4⋊C4—141no—
609C4⋊C4C23×D712yes—
610C4⋊C4C23×D712yes—
611C4⋊C4C23×D712yes—
612C4⋊C4C23×D712yes—
613C22⋊C4—74no—
614C22⋊C4—74no—
615C22⋊C4—144no—
616C22⋊C4—144no—
617C22⋊C4—144no—
618C22⋊C4—144no—
619C22⋊C4—144no—
620C22⋊C4—144no—
621C22⋊C4—144no—
622C22⋊C4—144no—
623C42—144no—
624C42—144no—
625C42—144no—
626C42—144no—
627C42D4×D712yes—
628C42C23×D712yes—
629C2×C7#334814yescomplemented
630C2×C7C2×#54711yescharacteristic
631C2×C7C2×#57511yescharacteristic
632C2×C7C2×#57711yescharacteristic
633D7—42no—
634D7—42no—
635D7—82no—
636C23—72no—
637C23—72no—
638C23—142no—
639C23—142no—
640C23—142no—
641C23—142no—
642C23—142no—
643C23—142no—
644C23—142no—
645C23—282no—
646C23—282no—
647C23—282no—
648C23C2×D4×D711yescharacteristic
649Q8—84no—
650Q8—142no—
651Q8—142no—
652Q8—282no—
653D4—142no—
654D4—142no—
655D4—284no—
656D4—282no—
657D4—564no—
658D4—564no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—72no—
670C2×C4—72no—
671C2×C4—142no—
672C2×C4—142no—
673C2×C4—144no—
674C2×C4—144no—
675C2×C4—142no—
676C2×C4—142no—
677C2×C4—142no—
678C2×C4—142no—
679C2×C4—142no—
680C2×C4—142no—
681C2×C4—142no—
682C2×C4—288no—
683C2×C4—288no—
684C2×C4—282no—
685C2×C4—282no—
686C2×C4—282no—
687C2×C4C2×D4×D712yes—
688C2×C4C2×D4×D712yes—
689C2×C4C2×D4×D711yescharacteristic
690C2×C4C2×#116112yes—
691C2×C4#655112yes—
692C2×C4C24×D711yescharacteristic
693C8—22no—
694C8—142no—
695C8—142no—
696C8C2×#116114yes—
697C7C2×#334811yescharacteristic, complemented, Sylow
698C22—142no—
699C22—142no—
700C22—142no—
701C22—142no—
702C22—142no—
703C22—142no—
704C22—284no—
705C22—284no—
706C22—282no—
707C22—282no—
708C22—282no—
709C22—564no—
710C22#9041712yes—
711C22#9046612yes—
712C22#9046812yes—
713C22C22×D4×D711yescharacteristic
714C4—22no—
715C4—22no—
716C4—42no—
717C4—42no—
718C4—42no—
719C4—42no—
720C4—142no—
721C4—142no—
722C4—282no—
723C4—282no—
724C4—282no—
725C4#9041712yes—
726C4C22×#116111yescharacteristic
727C4C2×#655111yescharacteristic
728C2—282no—
729C2—282no—
730C2—562no—
731C2#1173944014yesdirect product factor
732C2C2×#9041711yescharacteristic
733C2C2×#9046611yescharacteristic
734C2C2×#9046811yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C7×#501C2
socleC23×C7C22×D4
prime radicalC2×#90425C2
hypercenterC2×#501D7
hypocenterC7C2×#3348
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#501

Complements

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

NH ≅ G/Ntype
2. C2×#90385C2semidirect
3. C2×C7×#501C2semidirect
4. C2×#89866C2semidirect
5. C2×#89838C2semidirect
6. #11739440C2direct (N × H)
7. C2×#89660C2semidirect
8. C2×#89658C2semidirect
9. C2×#89652C2semidirect
10. C2×#89657C2semidirect
11. C2×#89635C2semidirect
12. C2×#89636C2semidirect
13. C2×#89633C2semidirect
14. C2×#89639C2semidirect
15. C2×#89482C2semidirect
16. C2×#89478C2semidirect
27. #90385C22semidirect
45. C7×#501C22semidirect
56. #89866C22semidirect
57. #89838C22semidirect
67. #89660C22semidirect
68. #89658C22semidirect
69. #89657C22semidirect
70. #89652C22semidirect
71. #89639C22semidirect
72. #89636C22semidirect
73. #89635C22semidirect
74. #89633C22semidirect
75. #89482C22semidirect
76. #89478C22semidirect
183. C2×#501D7semidirect
314. #501C2×D7semidirect
629. C2×C7#3348semidirect
697. C7C2×#3348semidirect
731. C2#11739440direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#904252
C2×#903852
C2×C7×#5012
C2×#898662
C2×#898382
#117394402
C2×#896602
C2×#896582
C2×#896522
C2×#896572
C2×#896352
C2×#896362
C2×#896332
C2×#896392
C2×#894822
C2×#894782
C2×#33487