Finite Group Databasebeta

← C2×#13127353 #16741532

Subgroups — C2×#13127353 #16741532

Order 3328.

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×#11719268C211yesmaximal, characteristic
2C2×#11719246C211yesmaximal, characteristic, complemented
3#13127353C2116yesmaximal, direct product factor
4C2×#11718363C211yesmaximal, characteristic, complemented
5C2×#11718396C211yesmaximal, characteristic, complemented
6C2×#11718384C211yesmaximal, characteristic, complemented
7C2×#11718384C211yesmaximal, characteristic, complemented
8C2×#11718398C211yesmaximal, characteristic, complemented
9C2×#11718512C211yesmaximal, characteristic, complemented
10C2×#11718508C211yesmaximal, characteristic, complemented
11C2×#11718795C211yesmaximal, characteristic, complemented
12C2×#11718775C211yesmaximal, characteristic, complemented
13C2×#11718371C211yesmaximal, characteristic, complemented
14C2×#11718782C211yesmaximal, characteristic, complemented
15C2×#11718767C211yesmaximal, characteristic, complemented
16C2×C13×#435C211yesmaximal, characteristic, complemented
17C22×C13×M16C2211yescharacteristic
18C23×C8×C13C2211yescharacteristic
19C2×C4×D4×C13C2211yescharacteristic
20C2×#88192—21no—
21C2×#88189—21no—
22C2×#88184C2211yescharacteristic
23C2×#88184C2211yescharacteristic
24C2×#88180C2211yescharacteristic
25C2×#88180C2211yescharacteristic
26C2×#88180C2211yescharacteristic
27C22×C4⋊Dic13C2211yescharacteristic
28C2×#88178C2211yescharacteristic
29C2×#88178C2211yescharacteristic
30C22×#6095C2211yescharacteristic
31#11719268—24no—
32#11719268C2218yes—
33#11719246—24no—
34#11719246C2218yescomplemented
35C2×#88146—21no—
36C2×#88143—21no—
37C2×#88139—21no—
38C2×#88139—21no—
39C2×#88133—21no—
40C2×#88131—21no—
41C2×C4×D52C2211yescharacteristic
42C2×#88124C2211yescharacteristic
43C2×#88123C2211yescharacteristic
44C2×C4×Dic26C2211yescharacteristic
45C13×#435C2218yescomplemented
46C2×C13×C4⋊C8C2211yescharacteristic
47C2×C13×C22⋊C8C2211yescharacteristic
48C2×C13×C22⋊C8C2211yescharacteristic
49C2×C13×#97C2211yescharacteristic
50#11718795C2218yescomplemented
51#11718782C2218yescomplemented
52#11718775C2218yescomplemented
53C2×#88061C2211yescharacteristic
54C2×#88061C2211yescharacteristic
55C2×#88061C2211yescharacteristic
56#11718767C2218yescomplemented
57C2×#88058C2211yescharacteristic
58C2×#88058C2211yescharacteristic
59C2×#88058C2211yescharacteristic
60C2×#88058C2211yescharacteristic
61C2×#88057C2211yescharacteristic
62C2×#88057C2211yescharacteristic
63C2×#88057C2211yescharacteristic
64C2×#88057C2211yescharacteristic
65C2×#88057C2211yescharacteristic
66C2×#88056C2211yescharacteristic
67C2×#88056C2211yescharacteristic
68C2×#88056C2211yescharacteristic
69#11718512C2218yescomplemented
70#11718508C2218yescomplemented
71#11718398C2218yescomplemented
72#11718396C2218yescomplemented
73#11718384C2218yescomplemented
74#11718384C2218yescomplemented
75#11718371C2218yescomplemented
76#11718363C2218yescomplemented
77C22×D4×C13D411yescharacteristic
78C23×C4×C13C2311yescharacteristic
79C23×C4×C13C2311yescharacteristic
80C22×C22⋊D13—21no—
81C22×C22⋊D13—21no—
82C23×Dic13—21no—
83C22×D52C2311yescharacteristic
84C22×C4×D13—21no—
85C22×Dic26—21no—
86C22×Dic26C2311yescharacteristic
87C2×C13×M16—24no—
88C2×C13×M16C2314yes—
89C22×C8×C13—24no—
90C22×C8×C13C2311yescharacteristic
91C22×C8×C13C2311yescharacteristic
92C22×C8×C13C2311yescharacteristic
93C22×C8×C13C2314yes—
94C22×C8×C13C2311yescharacteristic
95C4×D4×C13D414yes—
96C4×D4×C13C2314yes—
97C2×C13×C4⋊C4D411yescharacteristic
98C2×C13×C22⋊C4D411yescharacteristic
99C2×C13×C22⋊C4D411yescharacteristic
100C2×C42×C13C2311yescharacteristic
101C2×C22⋊Dic13—21no—
102C2×C22⋊Dic13—21no—
103C2×C22⋊Dic13—21no—
104C2×C22⋊Dic13—21no—
105C2×C22⋊Dic13—21no—
106#88192—28no—
107#88189—28no—
108#88184—22no—
109#88184—22no—
110#88184C2314yes—
111#88184C2314yes—
112C2×#6103—21no—
113C2×#6103—21no—
114C2×#6103—21no—
115#88180—22no—
116#88180—22no—
117#88180—22no—
118#88180C2314yes—
119#88180C2314yes—
120#88180C2314yes—
121C2×C4⋊Dic13—21no—
122C2×C4⋊Dic13—21no—
123C2×C4⋊Dic13—22no—
124C2×C4⋊Dic13C2311yescharacteristic
125C2×C4⋊Dic13C2311yescharacteristic
126C2×C4⋊Dic13C2311yescharacteristic
127C2×C4⋊Dic13C2311yescharacteristic
128C2×C4⋊Dic13C2311yescharacteristic
129C2×C4⋊Dic13C2311yescharacteristic
130C2×C4⋊Dic13C2314yes—
131#88178—22no—
132#88178—22no—
133#88178C2314yes—
134#88178C2314yes—
135C2×#6101—21no—
136C2×#6101—21no—
137C2×#6101—21no—
138C2×#6101—21no—
139C2×#6101—21no—
140C2×C4×Dic13—21no—
141C2×C4×Dic13—21no—
142C2×C4×Dic13—21no—
143C2×C4×Dic13—21no—
144C2×#6095—24no—
145C2×#6095C2314yes—
146#88146—28no—
147#88143—28no—
148#88139—28no—
149#88139—28no—
150#88133—28no—
151#88131—28no—
152C4×D52—22no—
153C4×D52C2314yes—
154#88124—22no—
155#88124C2314yes—
156#88123—22no—
157#88123C2314yes—
158C4×Dic26—22no—
159C4×Dic26C2314yes—
160C13×C4⋊C8C2314yes—
161C13×C22⋊C8C2314yes—
162C13×C22⋊C8C2314yes—
163C13×#97C2314yes—
164#88061C2314yes—
165#88061C2314yes—
166#88061C2314yes—
167#88058C2314yes—
168#88058C2314yes—
169#88058C2314yes—
170#88058C2314yes—
171#88057C2314yes—
172#88057C2314yes—
173#88057C2314yes—
174#88057C2314yes—
175#88057C2314yes—
176#88056C2314yes—
177#88056C2314yes—
178#88056C2314yes—
179C2×#3348—131nomaximal, Sylow
180C24×C13C2×D411yescharacteristic
181C24×C13C2×D411yescharacteristic
182C23×D13—21no—
183C2×D4×C13—42no—
184C2×D4×C13C2×D414yes—
185C22×C4×C13—22no—
186C22×C4×C13—22no—
187C22×C4×C13—22no—
188C22×C4×C13—22no—
189C22×C4×C13C2×D411yescharacteristic
190C22×C4×C13C2×D411yescharacteristic
191C22×C4×C13C2×D411yescharacteristic
192C22×C4×C13C2×D411yescharacteristic
193C22×C4×C13C2×D412yes—
194C22×C4×C13C2×D412yes—
195C22×C4×C13C2412yes—
196C22×C4×C13C2412yes—
197C22×C4×C13C2411yescharacteristic
198C2×C22⋊D13—24no—
199C2×C22⋊D13—24no—
200C2×C22⋊D13—82no—
201C2×C22⋊D13—82no—
202C22×Dic13—24no—
203C22×Dic13—21no—
204C22×Dic13—21no—
205C22×Dic13—21no—
206C22×Dic13—21no—
207C22×Dic13—21no—
208C22×Dic13—21no—
209C22×Dic13—21no—
210C22×Dic13—44no—
211C2×D52—22no—
212C2×D52—22no—
213C2×D52—21no—
214C2×D52C2412yes—
215C2×C4×D13—24no—
216C2×C4×D13—44no—
217C2×Dic26—22no—
218C2×Dic26—22no—
219C2×Dic26—21no—
220C2×Dic26—24no—
221C2×Dic26—82no—
222C2×Dic26C2412yes—
223C13×M16—28no—
224C2×C8×C13—22no—
225C2×C8×C13—22no—
226C2×C8×C13—22no—
227C2×C8×C13—28no—
228C2×C8×C13#4114yes—
229C2×C8×C13C2412yes—
230C2×C8×C13C2412yes—
231C2×C8×C13C2412yes—
232C2×C8×C13C2412yes—
233C13×C4⋊C4C2×D414yes—
234C13×C22⋊C4C2×D414yes—
235C13×C22⋊C4C2×D414yes—
236C42×C13C2×D412yes—
237C42×C13C2412yes—
238C22⋊Dic13—24no—
239C22⋊Dic13—24no—
240C22⋊Dic13—24no—
241C22⋊Dic13—24no—
242C22⋊Dic13—24no—
243#6103—24no—
244#6103—24no—
245#6103—24no—
246C4⋊Dic13—21no—
247C4⋊Dic13—21no—
248C4⋊Dic13—21no—
249C4⋊Dic13—24no—
250C4⋊Dic13—21no—
251C4⋊Dic13—21no—
252C4⋊Dic13—21no—
253C4⋊Dic13—24no—
254C4⋊Dic13C2412yes—
255C4⋊Dic13C2412yes—
256C4⋊Dic13C2412yes—
257C4⋊Dic13C2412yes—
258C4⋊Dic13C2412yes—
259C4⋊Dic13C2412yes—
260#6101—24no—
261#6101—24no—
262#6101—24no—
263#6101—24no—
264#6101—24no—
265C4×Dic13—24no—
266C4×Dic13—24no—
267C4×Dic13—24no—
268C4×Dic13—24no—
269#6095—28no—
270C2×#555—131no—
271C2×#552—131no—
272#3348—1316no—
273C2×#501—131no—
274C2×#481—131no—
275C2×#485—131no—
276C2×#485—131no—
277C2×#482—131no—
278C2×#475—131no—
279C2×#478—131no—
280C2×#468—131no—
281C2×#465—131no—
282C2×#440—131no—
283C2×#435D1311yescharacteristic, complemented
284C2×#428—131no—
285C2×#427—131no—
286C23×C13—22no—
287C23×C13—22no—
288C23×C13—22no—
289C23×C13—22no—
290C23×C13—22no—
291C23×C13—22no—
292C23×C13C22×D412yes—
293C23×C13C22×D412yes—
294C23×C13C22×D411yescharacteristic
295C22×D13—22no—
296C22×D13—42no—
297C22×D13—42no—
298C22×D13—42no—
299D4×C13—44no—
300C2×C4×C13—22no—
301C2×C4×C13—22no—
302C2×C4×C13—22no—
303C2×C4×C13—22no—
304C2×C4×C13—24no—
305C2×C4×C13—24no—
306C2×C4×C13—22no—
307C2×C4×C13—22no—
308C2×C4×C13—22no—
309C2×C4×C13—22no—
310C2×C4×C13C22×D412yes—
311C2×C4×C13C22×D412yes—
312C2×C4×C13C22×D412yes—
313C2×C4×C13C22×D412yes—
314C2×C4×C13C22×D411yescharacteristic
315C2×C4×C13C2×#4112yes—
316C2×C4×C132−1+412yes—
317C2×C4×C13C2511yescharacteristic
318C22⋊D13—84no—
319C22⋊D13—84no—
320C2×Dic13—22no—
321C2×Dic13—22no—
322C2×Dic13—22no—
323C2×Dic13—22no—
324C2×Dic13—22no—
325C2×Dic13—22no—
326C2×Dic13—22no—
327C2×Dic13—48no—
328C2×Dic13—42no—
329C2×Dic13—42no—
330C2×Dic13—42no—
331C2×Dic13—42no—
332C2×Dic13—42no—
333C2×Dic13—42no—
334C2×Dic13—42no—
335D52—22no—
336D52—22no—
337D52—42no—
338C4×D13—48no—
339Dic26—22no—
340Dic26—22no—
341Dic26—42no—
342Dic26—84no—
343C8×C13—22no—
344C8×C13—22no—
345C8×C13—22no—
346C8×C13C2×#4114yes—
347C22×SD16—131no—
348C22×M16C2×D1311yescharacteristic
349C23×C8C2×D1311yescharacteristic
350#555—138no—
351#555—264no—
352#552—138no—
353#552—264no—
354C2×C4⋊Q8—131no—
355C2×#126—261no—
356C2×#125—131no—
357C2×#125—261no—
358C2×#124—261no—
359C2×#124—261no—
360C2×#123—261no—
361C2×C22⋊Q8—131no—
362C2×C22⋊Q8—131no—
363C2×#121—131no—
364C2×#121—131no—
365C2×#121—261no—
366C2×C4×Q8—131no—
367C2×C4×D4—131no—
368C2×C4×D4C2×D1311yescharacteristic
369C2×#117—131no—
370C2×#117—131no—
371C2×#117—131no—
372C2×#117—261no—
373C2×#117—261no—
374C22×C4⋊C4—131no—
375#501—138no—
376#485—138no—
377#485—138no—
378#482—138no—
379#481—138no—
380#478—138no—
381#475—138no—
382#468—138no—
383#465—138no—
384#440—138no—
385#435C2×D1318yescomplemented
386#428—138no—
387#427—138no—
388C2×#107—131no—
389C2×#107—131no—
390C2×#107—131no—
391C2×#107—131no—
392C2×#106—131no—
393C2×#106—131no—
394C2×#106—131no—
395C2×#106—131no—
396C2×#106—131no—
397C2×C4⋊C8C2×D1311yescharacteristic
398C2×#103—131no—
399C2×#103—131no—
400C2×#103—131no—
401C2×#102—131no—
402C2×#102—131no—
403C2×#102—131no—
404C2×C22⋊C8C2×D1311yescharacteristic
405C2×C22⋊C8C2×D1311yescharacteristic
406C2×#97C2×D1311yescharacteristic
407C22×C13—22no—
408C22×C13—22no—
409C22×C13—22no—
410C22×C13—22no—
411C22×C13—22no—
412C22×C13—22no—
413C22×C13—44no—
414C22×C13—44no—
415C22×C13#54712yes—
416C22×C13#57512yes—
417C22×C13#57712yes—
418C22×C13C23×D411yescharacteristic
419C2×D13—42no—
420C2×D13—42no—
421C2×D13—42no—
422C2×D13—84no—
423C4×C13—22no—
424C4×C13—22no—
425C4×C13—22no—
426C4×C13—22no—
427C4×C13#54712yes—
428C4×C13C22×#4111yescharacteristic
429C4×C13C2×2−1+411yescharacteristic
430Dic13—42no—
431Dic13—42no—
432Dic13—42no—
433Dic13—42no—
434Dic13—42no—
435Dic13—42no—
436Dic13—42no—
437C22×Q8—131no—
438C22×Q8—261no—
439C22×D4—131no—
440C22×D4—261no—
441C22×D4—261no—
442C22×D4D5211yescharacteristic
443C23×C4—261no—
444C23×C4—261no—
445C23×C4C22×D1311yescharacteristic
446C23×C4C22×D1311yescharacteristic
447C2×SD16—134no—
448C2×SD16—264no—
449C2×M16—24no—
450C2×M16C22×D1314yes—
451C22×C8—24no—
452C22×C8C22×D1311yescharacteristic
453C22×C8C22×D1314yes—
454C22×C8C22×D1311yescharacteristic
455C22×C8C22×D1311yescharacteristic
456C22×C8C22×D1311yescharacteristic
457C4⋊Q8—134no—
458C4⋊Q8—262no—
459#126—268no—
460#125—134no—
461#125—268no—
462#125—262no—
463#124—268no—
464#124—268no—
465#123—268no—
466C22⋊Q8—134no—
467C22⋊Q8—134no—
468C22⋊Q8—262no—
469C22⋊Q8—262no—
470#121—134no—
471#121—134no—
472#121—268no—
473#121—262no—
474#121—262no—
475C4×Q8—134no—
476C4×Q8—262no—
477C4×D4—134no—
478C4×D4—262no—
479C4×D4D5214yes—
480C4×D4C22×D1314yes—
481#117—134no—
482#117—134no—
483#117—134no—
484#117—262no—
485#117—262no—
486#117—262no—
487#117—268no—
488#117—268no—
489C2×C4⋊C4—131no—
490C2×C4⋊C4—131no—
491C2×C4⋊C4—134no—
492C2×C4⋊C4—131no—
493C2×C4⋊C4—131no—
494C2×C4⋊C4—131no—
495C2×C4⋊C4—131no—
496C2×C4⋊C4—261no—
497C2×C4⋊C4—262no—
498C2×C4⋊C4—261no—
499C2×C4⋊C4—261no—
500C2×C4⋊C4—261no—
501C2×C4⋊C4—261no—
502C2×C4⋊C4—261no—
503C2×C4⋊C4—261no—
504C2×C4⋊C4D5211yescharacteristic
505C2×C22⋊C4—261no—
506C2×C22⋊C4—261no—
507C2×C22⋊C4—261no—
508C2×C22⋊C4—261no—
509C2×C22⋊C4—261no—
510C2×C22⋊C4—261no—
511C2×C22⋊C4—261no—
512C2×C22⋊C4—261no—
513C2×C22⋊C4D5211yescharacteristic
514C2×C22⋊C4D5211yescharacteristic
515C2×C42—261no—
516C2×C42—261no—
517C2×C42—261no—
518C2×C42—261no—
519C2×C42C22×D1311yescharacteristic
520#107—134no—
521#107—134no—
522#107—134no—
523#107—134no—
524#106—134no—
525#106—134no—
526#106—134no—
527#106—134no—
528#106—134no—
529C4⋊C8C22×D1314yes—
530#103—134no—
531#103—134no—
532#103—134no—
533#102—134no—
534#102—134no—
535#102—134no—
536C22⋊C8C22×D1314yes—
537C22⋊C8C22×D1314yes—
538#97C22×D1314yes—
539C2×C13—42no—
540C2×C13—42no—
541C2×C13#334814yescomplemented
542C2×C13C2×#54711yescharacteristic
543C2×C13C2×#57511yescharacteristic
544C2×C13C2×#57711yescharacteristic
545D13—82no—
546C24—261no—
547C24C2×D5211yescharacteristic
548C24C2×D5211yescharacteristic
549C2×Q8—132no—
550C2×Q8—261no—
551C2×Q8—264no—
552C2×Q8—262no—
553C2×Q8—262no—
554C2×Q8—1042no—
555C2×D4—42no—
556C2×D4—132no—
557C2×D4—264no—
558C2×D4—264no—
559C2×D4—261no—
560C2×D4—262no—
561C2×D4—262no—
562C2×D4—1042no—
563C2×D4—1042no—
564C2×D4C2×D5214yes—
565C22×C4—22no—
566C22×C4—22no—
567C22×C4—22no—
568C22×C4—22no—
569C22×C4—264no—
570C22×C4—261no—
571C22×C4—261no—
572C22×C4—261no—
573C22×C4—261no—
574C22×C4—261no—
575C22×C4—261no—
576C22×C4—261no—
577C22×C4—264no—
578C22×C4—524no—
579C22×C4—524no—
580C22×C4C2×D5212yes—
581C22×C4C2×D5212yes—
582C22×C4C2×D5211yescharacteristic
583C22×C4C2×D5211yescharacteristic
584C22×C4C2×D5211yescharacteristic
585C22×C4C2×D5211yescharacteristic
586C22×C4C23×D1312yes—
587C22×C4C23×D1312yes—
588C22×C4C23×D1311yescharacteristic
589SD16—268no—
590M16—28no—
591C2×C8—22no—
592C2×C8—22no—
593C2×C8—22no—
594C2×C8—28no—
595C2×C8#612914yes—
596C2×C8C23×D1312yes—
597C2×C8C23×D1312yes—
598C2×C8C23×D1312yes—
599C2×C8C23×D1312yes—
600C4⋊C4—132no—
601C4⋊C4—132no—
602C4⋊C4—132no—
603C4⋊C4—132no—
604C4⋊C4—132no—
605C4⋊C4—132no—
606C4⋊C4—261no—
607C4⋊C4—261no—
608C4⋊C4—264no—
609C4⋊C4—261no—
610C4⋊C4—261no—
611C4⋊C4—261no—
612C4⋊C4—261no—
613C4⋊C4—264no—
614C4⋊C4—264no—
615C4⋊C4—264no—
616C4⋊C4—264no—
617C4⋊C4—264no—
618C4⋊C4—264no—
619C4⋊C4C2×D5214yes—
620C22⋊C4—264no—
621C22⋊C4—264no—
622C22⋊C4—264no—
623C22⋊C4—264no—
624C22⋊C4—264no—
625C22⋊C4—264no—
626C22⋊C4—264no—
627C22⋊C4—264no—
628C22⋊C4C2×D5214yes—
629C22⋊C4C2×D5214yes—
630C42—264no—
631C42—264no—
632C42—264no—
633C42—264no—
634C42C2×D5212yes—
635C42C23×D1312yes—
636C13C2×#334811yescharacteristic, complemented, Sylow
637C23—22no—
638C23—22no—
639C23—22no—
640C23—22no—
641C23—22no—
642C23—22no—
643C23—262no—
644C23—522no—
645C23—522no—
646C23—522no—
647C23C22×D5212yes—
648C23C22×D5212yes—
649C23C22×D5211yescharacteristic
650Q8—262no—
651Q8—262no—
652Q8—522no—
653Q8—1044no—
654D4—44no—
655D4—262no—
656D4—262no—
657D4—522no—
658D4—1044no—
659D4—1044no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—262no—
671C2×C4—262no—
672C2×C4—262no—
673C2×C4—262no—
674C2×C4—262no—
675C2×C4—262no—
676C2×C4—262no—
677C2×C4—528no—
678C2×C4—528no—
679C2×C4—522no—
680C2×C4—522no—
681C2×C4—522no—
682C2×C4—522no—
683C2×C4—522no—
684C2×C4—522no—
685C2×C4—522no—
686C2×C4C22×D5212yes—
687C2×C4C22×D5212yes—
688C2×C4C22×D5212yes—
689C2×C4C22×D5212yes—
690C2×C4C22×D5211yescharacteristic
691C2×C4C2×#612912yes—
692C2×C4#8825712yes—
693C2×C4C24×D1311yescharacteristic
694C8—22no—
695C8—22no—
696C8—22no—
697C8C2×#612914yes—
698C22—22no—
699C22—22no—
700C22—22no—
701C22—22no—
702C22—22no—
703C22—22no—
704C22—44no—
705C22—44no—
706C22—522no—
707C22—522no—
708C22—522no—
709C22—1044no—
710C22#1171926012yes—
711C22#1171945312yes—
712C22#1171945612yes—
713C22C23×D5211yescharacteristic
714C4—22no—
715C4—22no—
716C4—22no—
717C4—22no—
718C4—522no—
719C4—522no—
720C4—522no—
721C4—522no—
722C4—522no—
723C4—522no—
724C4—522no—
725C4#1171926012yes—
726C4C22×#612911yescharacteristic
727C4C2×#8825711yescharacteristic
728C2—42no—
729C2—42no—
730C2—1042no—
731C2#1312735314yesdirect product factor
732C2C2×#1171926011yescharacteristic
733C2C2×#1171945311yescharacteristic
734C2C2×#1171945611yescharacteristic
subgroupG/H
centerC23C22×D52
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#435C2
socleC23×C13C22×D4
prime radicalC2×#11719268C2
hypercenterC2×#435D13
hypocenterC13C2×#3348
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#435

Complements

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

NH ≅ G/Ntype
2. C2×#11719246C2semidirect
3. #13127353C2direct (N × H)
4. C2×#11718363C2semidirect
5. C2×#11718396C2semidirect
6. C2×#11718384C2semidirect
7. C2×#11718384C2semidirect
8. C2×#11718398C2semidirect
9. C2×#11718512C2semidirect
10. C2×#11718508C2semidirect
11. C2×#11718795C2semidirect
12. C2×#11718775C2semidirect
13. C2×#11718371C2semidirect
14. C2×#11718782C2semidirect
15. C2×#11718767C2semidirect
16. C2×C13×#435C2semidirect
34. #11719246C22semidirect
45. C13×#435C22semidirect
50. #11718795C22semidirect
51. #11718782C22semidirect
52. #11718775C22semidirect
56. #11718767C22semidirect
69. #11718512C22semidirect
70. #11718508C22semidirect
71. #11718398C22semidirect
72. #11718396C22semidirect
73. #11718384C22semidirect
74. #11718384C22semidirect
75. #11718371C22semidirect
76. #11718363C22semidirect
283. C2×#435D13semidirect
385. #435C2×D13semidirect
541. C2×C13#3348semidirect
636. C13C2×#3348semidirect
731. C2#13127353direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117192682
C2×#117192462
#131273532
C2×#117183632
C2×#117183962
C2×#117183842
C2×#117183982
C2×#117185122
C2×#117185082
C2×#117187952
C2×#117187752
C2×#117183712
C2×#117187822
C2×#117187672
C2×C13×#4352
C2×#334813