Finite Group Databasebeta

← #15769655

Subgroups — #15769655

Order 3328.

1262 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11718897C211yesmaximal, characteristic
2C2×#11718886C211yesmaximal, characteristic, complemented
3C2×#11718901C211yesmaximal, characteristic
4#13117422C211yesmaximal, characteristic, complemented
5C2×#11718148C211yesmaximal, characteristic, complemented
6C2×#11718149C211yesmaximal, characteristic, complemented
7C22×C13×#137C211yesmaximal, characteristic
8C22×C13×#41C2211yescharacteristic
9C23×Q8×C13C2211yescharacteristic
10C2×C13×#137—22no—
11C2×C13×#137—22no—
12C2×C13×#137—22no—
13C2×C13×#137—22no—
14C2×C13×#137—22no—
15C2×C13×#137—22no—
16C22×C13×Q16C412yescomplemented
17C22×C13×SD16C412yescomplemented
18C22×C13×M16C2211yescharacteristic
19C2×#88180C2211yescharacteristic
20C2×#88180C2211yescharacteristic
21C2×#88180C2211yescharacteristic
22C22×#6099C2211yescharacteristic
23#11718901—22no—
24#11718901—22no—
25#11718897—22no—
26#11718897—22no—
27C2×#88077—22no—
28#11718891—22no—
29#11718891—22no—
30#11718886—22no—
31#11718886—22no—
32C2×#88075—22no—
33C2×#88074—22no—
34#11718872—22no—
35#11718149—22no—
36#11718148—22no—
37C2×C13×#41—21no—
38C2×C13×#41—21no—
39C2×C13×#41—21no—
40C2×C13×#41—21no—
41C2×C13×#41—21no—
42C2×C13×#41—21no—
43C2×C13×#41—21no—
44C2×C13×#41—21no—
45C2×C13×#41—21no—
46C2×C13×#41—21no—
47C2×C13×#41D412yes—
48C2×C13×#41D412yes—
49C22×Q8×C13—21no—
50C22×Q8×C13—21no—
51C22×Q8×C13—21no—
52C22×Q8×C13—21no—
53C22×Q8×C13—21no—
54C22×Q8×C13—21no—
55C22×Q8×C13—21no—
56C22×Q8×C13—21no—
57C22×Q8×C13—21no—
58C22×Q8×C13—21no—
59C22×Q8×C13—21no—
60C22×Q8×C13C2×C412yes—
61C22×Q8×C13C2×C411yescharacteristic
62C22×Q8×C13D412yes—
63C22×Q8×C13D412yes—
64C22×D4×C13—21no—
65C22×D4×C13C2×C411yescharacteristic
66C23×C4×C13—21no—
67C23×C4×C13—21no—
68C23×C4×C13C2311yescharacteristic
69C13×#137—28no—
70C13×#137—28no—
71C13×#137—28no—
72C13×#137—28no—
73C2×C13×Q16—24no—
74C2×C13×Q16—24no—
75C2×C13×Q16—24no—
76C2×C13×SD16—24no—
77C2×C13×SD16—24no—
78C2×C13×SD16—24no—
79C2×C13×M16—21no—
80C2×C13×M16—21no—
81C2×C13×M16—21no—
82C2×C13×M16—21no—
83C2×C13×M16D412yes—
84C2×C13×M16D412yes—
85C22×C8×C13C2×C412yes—
86C2×C22⋊Dic13—21no—
87C2×C22⋊Dic13—21no—
88C2×C22⋊Dic13D412yes—
89#88180—21no—
90#88180—21no—
91#88180—21no—
92#88180—21no—
93#88180—21no—
94#88180—21no—
95#88180—21no—
96#88180—21no—
97#88180—21no—
98#88180—21no—
99#88180—21no—
100#88180D412yes—
101C2×C4⋊Dic13—21no—
102C2×C4⋊Dic13—21no—
103C2×C4⋊Dic13—21no—
104C2×C4×Dic13—21no—
105C2×C4×Dic13—21no—
106C2×C4×Dic13D412yes—
107C2×#6099—21no—
108C2×#6099—21no—
109C2×#6099—21no—
110C2×#6099—21no—
111C2×#6099—21no—
112C2×#6099D412yes—
113C22×#1055—21no—
114#88077—28no—
115#88075—28no—
116#88074—28no—
117#88071—28no—
118#11013—131nomaximal, Sylow
119C24×C13—21no—
120C24×C13C2×D411yescharacteristic
121C13×#41—22no—
122C13×#41—22no—
123C13×#41—22no—
124C13×#41—22no—
125C13×#41—22no—
126C13×#41—22no—
127C13×#41—22no—
128C13×#41—22no—
129C13×#41—41no—
130C13×#41—41no—
131C13×#41—41no—
132C13×#41—41no—
133C13×#41—41no—
134C13×#41—41no—
135C13×#41—41no—
136C13×#41—41no—
137C2×Q8×C13—22no—
138C2×Q8×C13—21no—
139C2×Q8×C13—22no—
140C2×Q8×C13—22no—
141C2×Q8×C13—22no—
142C2×Q8×C13—22no—
143C2×Q8×C13—21no—
144C2×Q8×C13—21no—
145C2×Q8×C13—22no—
146C2×Q8×C13—22no—
147C2×Q8×C13—21no—
148C2×Q8×C13—21no—
149C2×Q8×C13—22no—
150C2×Q8×C13—22no—
151C2×Q8×C13—22no—
152C2×Q8×C13—22no—
153C2×Q8×C13—22no—
154C2×Q8×C13—22no—
155C2×Q8×C13—22no—
156C2×Q8×C13—22no—
157C2×Q8×C13—41no—
158C2×Q8×C13—41no—
159C2×Q8×C13—41no—
160C2×Q8×C13—41no—
161C2×Q8×C13—41no—
162C2×Q8×C13—41no—
163C2×Q8×C13—41no—
164C2×Q8×C13—41no—
165C2×Q8×C13—41no—
166C2×Q8×C13—41no—
167C2×Q8×C13—41no—
168C2×Q8×C13—41no—
169C2×Q8×C13C22⋊C414yes—
170C2×Q8×C13C22⋊C412yes—
171C2×D4×C13—22no—
172C2×D4×C13—22no—
173C2×D4×C13—21no—
174C2×D4×C13—21no—
175C2×D4×C13—21no—
176C2×D4×C13—21no—
177C2×D4×C13—21no—
178C2×D4×C13—41no—
179C2×D4×C13—41no—
180C2×D4×C13—41no—
181C2×D4×C13—41no—
182C2×D4×C13C22⋊C412yes—
183C22×C4×C13—21no—
184C22×C4×C13—22no—
185C22×C4×C13—22no—
186C22×C4×C13—22no—
187C22×C4×C13—22no—
188C22×C4×C13—22no—
189C22×C4×C13—41no—
190C22×C4×C13—41no—
191C22×C4×C13—41no—
192C22×C4×C13—41no—
193C22×C4×C13—41no—
194C22×C4×C13—41no—
195C22×C4×C13—41no—
196C22×C4×C13—41no—
197C22×C4×C13C22×C411yescharacteristic
198C22×C4×C13C2×D411yescharacteristic
199C22×C4×C13C2×D411yescharacteristic
200C22×C4×C13C2×D411yescharacteristic
201C22×C4×C13C2×D411yescharacteristic
202C22×C4×C13C2×D411yescharacteristic
203C22×C4×C13C2×D411yescharacteristic
204C22×C4×C13C2×D411yescharacteristic
205C22×C4×C13C2×D411yescharacteristic
206C22×C4×C13C2×D411yescharacteristic
207C22×C4×C13#4111yescharacteristic
208C22×C4×C13#4111yescharacteristic
209C22×C4×C13#4111yescharacteristic
210C22×C4×C13#4111yescharacteristic
211C22×Dic13—22no—
212C22×Dic13—22no—
213C22×Dic13—41no—
214C13×Q16—216no—
215C13×SD16—216no—
216C13×M16—22no—
217C13×M16—22no—
218C13×M16—22no—
219C13×M16—22no—
220C2×C8×C13—22no—
221C2×C8×C13—22no—
222C2×C8×C13C22⋊C414yes—
223C22⋊Dic13—22no—
224C22⋊Dic13—22no—
225C22⋊Dic13—22no—
226C22⋊Dic13—41no—
227C22⋊Dic13—41no—
228C22⋊Dic13—41no—
229C4⋊Dic13—22no—
230C4⋊Dic13—41no—
231C4⋊Dic13—41no—
232C4⋊Dic13—41no—
233C4⋊Dic13—41no—
234C4⋊Dic13—41no—
235C4×Dic13—22no—
236C4×Dic13—22no—
237C4×Dic13—22no—
238C4×Dic13—41no—
239C4×Dic13—41no—
240C4×Dic13—41no—
241#6099—22no—
242#6099—22no—
243#6099—41no—
244#6099—41no—
245C2×#1055—22no—
246C2×#1055—41no—
247C2×#1055—41no—
248C22×#137D1311yescharacteristic
249C2×#421—131no—
250C2×#419—131no—
251C2×#410—131no—
252#2310—131no—
253C2×#344—131no—
254C2×H(3,ℤ/4)—131no—
255C23×C13—22no—
256C23×C13—42no—
257C23×C13—41no—
258C23×C13—41no—
259C23×C13—82no—
260C23×C13C4×D411yescharacteristic
261C23×C13#12011yescharacteristic
262C23×C13#12011yescharacteristic
263C23×C13#12111yescharacteristic
264C23×C13#12111yescharacteristic
265C23×C13#12111yescharacteristic
266C23×C13#12711yescharacteristic
267Q8×C13—24no—
268Q8×C13—22no—
269Q8×C13—24no—
270Q8×C13—22no—
271Q8×C13—42no—
272Q8×C13—41no—
273Q8×C13—42no—
274Q8×C13—41no—
275Q8×C13—42no—
276Q8×C13—42no—
277Q8×C13—42no—
278Q8×C13—42no—
279D4×C13—22no—
280D4×C13—22no—
281D4×C13—42no—
282D4×C13—42no—
283D4×C13—42no—
284D4×C13—42no—
285D4×C13—41no—
286D4×C13—41no—
287C2×C4×C13—22no—
288C2×C4×C13—24no—
289C2×C4×C13—41no—
290C2×C4×C13—42no—
291C2×C4×C13—41no—
292C2×C4×C13—42no—
293C2×C4×C13—42no—
294C2×C4×C13—42no—
295C2×C4×C13—42no—
296C2×C4×C13—42no—
297C2×C4×C13—42no—
298C2×C4×C13—42no—
299C2×C4×C13—42no—
300C2×C4×C13—42no—
301C2×C4×C13C2×C22⋊C411yescharacteristic
302C2×C4×C13C2×C22⋊C411yescharacteristic
303C2×C4×C13C2×C22⋊C411yescharacteristic
304C2×C4×C13C4×D411yescharacteristic
305C2×C4×C13C4×D411yescharacteristic
306C2×C4×C13C4×D411yescharacteristic
307C2×C4×C13#12011yescharacteristic
308C2×C4×C13#12011yescharacteristic
309C2×C4×C13#12011yescharacteristic
310C2×C4×C13#12011yescharacteristic
311C2×C4×C13#12011yescharacteristic
312C2×C4×C13#12011yescharacteristic
313C2×C4×C13#12111yescharacteristic
314C2×C4×C13#12111yescharacteristic
315C2×C4×C13#12111yescharacteristic
316C2×C4×C13#12111yescharacteristic
317C2×C4×C13#12111yescharacteristic
318C2×C4×C13#12111yescharacteristic
319C2×C4×C13#12111yescharacteristic
320C2×C4×C13#12111yescharacteristic
321C2×C4×C13#12111yescharacteristic
322C2×C4×C13#12311yescharacteristic
323C2×C4×C13#12311yescharacteristic
324C2×C4×C13#12311yescharacteristic
325C2×C4×C13#12311yescharacteristic
326C2×C4×C13#12411yescharacteristic
327C2×C4×C13#12411yescharacteristic
328C2×C4×C13#12711yescharacteristic
329C2×Dic13—44no—
330C2×Dic13—44no—
331C2×Dic13—42no—
332C2×Dic13—42no—
333C2×Dic13—42no—
334C2×Dic13—82no—
335C8×C13—24no—
336#1055—42no—
337C22×#41C2×D1311yescharacteristic
338C23×Q8C2×D1311yescharacteristic
339C2×#137—22no—
340C2×#137—22no—
341C2×#137—22no—
342C2×#137—22no—
343C2×#137—22no—
344C2×#137—22no—
345C22×Q16Dic1312yescomplemented
346C22×SD16Dic1312yescomplemented
347C22×M16—131no—
348C22×M16C2×D1311yescharacteristic
349C2×#117—131no—
350C2×#117—131no—
351C2×#117—131no—
352#421—262no—
353#421—262no—
354C2×#104—262no—
355#419—262no—
356#419—262no—
357C2×#103—262no—
358#410—262no—
359#410—262no—
360C2×#99—262no—
361#391—262no—
362#391—262no—
363#381—262no—
364#344—262no—
365H(3,ℤ/4)—262no—
366C22×C13—22no—
367C22×C13—22no—
368C22×C13—22no—
369C22×C13—41no—
370C22×C13—41no—
371C22×C13—41no—
372C22×C13—41no—
373C22×C13—42no—
374C22×C13—82no—
375C22×C13—82no—
376C22×C13—82no—
377C22×C13#38611yescharacteristic
378C22×C13#38611yescharacteristic
379C22×C13#39011yescharacteristic
380C22×C13#39211yescharacteristic
381C22×C13#39211yescharacteristic
382C22×C13#39211yescharacteristic
383C22×C13#39411yescharacteristic
384C4×C13—42no—
385C4×C13—44no—
386C4×C13#37911yescharacteristic
387C4×C13#38611yescharacteristic
388C4×C13#38611yescharacteristic
389C4×C13#39011yescharacteristic
390C4×C13#39211yescharacteristic
391C4×C13#39411yescharacteristic
392C4×C13#39411yescharacteristic
393C4×C13#39411yescharacteristic
394Dic13—82no—
395Dic13—82no—
396Dic13—82no—
397C2×#41—21no—
398C2×#41—21no—
399C2×#41—21no—
400C2×#41—21no—
401C2×#41—21no—
402C2×#41—21no—
403C2×#41—21no—
404C2×#41—21no—
405C2×#41—21no—
406C2×#41—21no—
407C2×#41C22⋊D1312yes—
408C2×#41C22⋊D1312yes—
409C22×Q8—21no—
410C22×Q8—21no—
411C22×Q8—21no—
412C22×Q8—21no—
413C22×Q8—21no—
414C22×Q8—21no—
415C22×Q8—21no—
416C22×Q8—21no—
417C22×Q8—21no—
418C22×Q8—21no—
419C22×Q8—21no—
420C22×Q8C2×Dic1312yes—
421C22×Q8C2×Dic1311yescharacteristic
422C22×Q8C22⋊D1312yes—
423C22×Q8C22⋊D1312yes—
424C22×D4—21no—
425C22×D4C2×Dic1311yescharacteristic
426C23×C4—21no—
427C23×C4—21no—
428C23×C4C22×D1311yescharacteristic
429#137—28no—
430#137—28no—
431#137—28no—
432#137—28no—
433C2×Q16—24no—
434C2×Q16—24no—
435C2×Q16—24no—
436C2×SD16—24no—
437C2×SD16—24no—
438C2×SD16—24no—
439C2×M16—21no—
440C2×M16—21no—
441C2×M16—21no—
442C2×M16—21no—
443C2×M16—132no—
444C2×M16—261no—
445C2×M16—261no—
446C2×M16—261no—
447C2×M16—261no—
448C2×M16—261no—
449C2×M16C22⋊D1312yes—
450C2×M16C22⋊D1312yes—
451C22×C8—261no—
452C22×C8C2×Dic1312yes—
453#117—132no—
454#117—261no—
455#117—261no—
456#117—261no—
457#117—261no—
458#117—261no—
459#117—261no—
460#117—261no—
461#117—261no—
462#117—261no—
463#117—261no—
464#117—261no—
465C2×C4⋊C4—261no—
466C2×C4⋊C4—261no—
467C2×C4⋊C4—261no—
468C2×C22⋊C4—132no—
469C2×C22⋊C4—261no—
470C2×C22⋊C4—261no—
471C2×C42—132no—
472C2×C42—261no—
473C2×C42—261no—
474#104—268no—
475#103—268no—
476#99—268no—
477#95—268no—
478C2×C13—21no—
479C2×C13—21no—
480C2×C13—21no—
481C2×C13—21no—
482C2×C13—21no—
483C2×C13—21no—
484C2×C13—82no—
485C2×C13#143811yescharacteristic
486C2×C13#190512yes—
487C24—21no—
488C24D4×D1311yescharacteristic
489#41—22no—
490#41—22no—
491#41—22no—
492#41—22no—
493#41—22no—
494#41—22no—
495#41—22no—
496#41—22no—
497#41—41no—
498#41—41no—
499#41—41no—
500#41—41no—
501#41—41no—
502#41—41no—
503#41—41no—
504#41—41no—
505C2×Q8—22no—
506C2×Q8—21no—
507C2×Q8—22no—
508C2×Q8—22no—
509C2×Q8—22no—
510C2×Q8—22no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—22no—
514C2×Q8—22no—
515C2×Q8—22no—
516C2×Q8—22no—
517C2×Q8—22no—
518C2×Q8—22no—
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8—22no—
522C2×Q8—22no—
523C2×Q8—22no—
524C2×Q8—22no—
525C2×Q8—41no—
526C2×Q8—41no—
527C2×Q8—41no—
528C2×Q8—41no—
529C2×Q8—41no—
530C2×Q8—41no—
531C2×Q8—41no—
532C2×Q8—41no—
533C2×Q8—41no—
534C2×Q8—41no—
535C2×Q8—41no—
536C2×Q8—41no—
537C2×Q8C22⋊Dic1314yes—
538C2×Q8C22⋊Dic1312yes—
539C2×D4—22no—
540C2×D4—22no—
541C2×D4—21no—
542C2×D4—21no—
543C2×D4—21no—
544C2×D4—21no—
545C2×D4—21no—
546C2×D4—41no—
547C2×D4—41no—
548C2×D4—41no—
549C2×D4—41no—
550C2×D4C22⋊Dic1312yes—
551C22×C4—21no—
552C22×C4—22no—
553C22×C4—22no—
554C22×C4—22no—
555C22×C4—22no—
556C22×C4—22no—
557C22×C4—41no—
558C22×C4—41no—
559C22×C4—41no—
560C22×C4—41no—
561C22×C4—41no—
562C22×C4—41no—
563C22×C4—41no—
564C22×C4—41no—
565C22×C4—262no—
566C22×C4—262no—
567C22×C4—521no—
568C22×C4D4×D1311yescharacteristic
569C22×C4D4×D1311yescharacteristic
570C22×C4D4×D1311yescharacteristic
571C22×C4#612911yescharacteristic
572C22×C4#612911yescharacteristic
573C22×C4#612911yescharacteristic
574C22×C4#612911yescharacteristic
575C22×C4C22×Dic1311yescharacteristic
576C22×C4C2×C22⋊D1311yescharacteristic
577C22×C4C2×C22⋊D1311yescharacteristic
578C22×C4C2×C22⋊D1311yescharacteristic
579C22×C4C2×C22⋊D1311yescharacteristic
580C22×C4C2×C22⋊D1311yescharacteristic
581C22×C4C2×C22⋊D1311yescharacteristic
582Q16—216no—
583SD16—216no—
584M16—22no—
585M16—22no—
586M16—22no—
587M16—22no—
588M16—262no—
589M16—262no—
590M16—521no—
591M16—521no—
592C2×C8—22no—
593C2×C8—22no—
594C2×C8—262no—
595C2×C8—521no—
596C2×C8—521no—
597C2×C8C22⋊Dic1314yes—
598C4⋊C4—262no—
599C4⋊C4—521no—
600C4⋊C4—521no—
601C4⋊C4—521no—
602C4⋊C4—521no—
603C4⋊C4—521no—
604C22⋊C4—262no—
605C22⋊C4—262no—
606C22⋊C4—262no—
607C22⋊C4—521no—
608C22⋊C4—521no—
609C22⋊C4—521no—
610C42—262no—
611C42—262no—
612C42—262no—
613C42—521no—
614C42—521no—
615C42—521no—
616C13#1101311yescharacteristic, complemented, Sylow
617C23—22no—
618C23—42no—
619C23—41no—
620C23—41no—
621C23—82no—
622C23D4×Dic1311yescharacteristic
623C23#8819111yescharacteristic
624C23#8819111yescharacteristic
625C23#8819211yescharacteristic
626C23#8819311yescharacteristic
627C23#8819311yescharacteristic
628C23#8819411yescharacteristic
629Q8—24no—
630Q8—22no—
631Q8—24no—
632Q8—22no—
633Q8—42no—
634Q8—41no—
635Q8—42no—
636Q8—41no—
637Q8—42no—
638Q8—42no—
639Q8—42no—
640Q8—42no—
641D4—22no—
642D4—22no—
643D4—42no—
644D4—42no—
645D4—42no—
646D4—42no—
647D4—41no—
648D4—41no—
649C2×C4—22no—
650C2×C4—24no—
651C2×C4—42no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—524no—
664C2×C4—524no—
665C2×C4—522no—
666C2×C4—522no—
667C2×C4—522no—
668C2×C4—1042no—
669C2×C4D4×Dic1311yescharacteristic
670C2×C4D4×Dic1311yescharacteristic
671C2×C4D4×Dic1311yescharacteristic
672C2×C4#8818911yescharacteristic
673C2×C4#8818911yescharacteristic
674C2×C4#8818911yescharacteristic
675C2×C4#8818911yescharacteristic
676C2×C4#8819011yescharacteristic
677C2×C4#8819011yescharacteristic
678C2×C4#8819111yescharacteristic
679C2×C4#8819111yescharacteristic
680C2×C4#8819211yescharacteristic
681C2×C4#8819211yescharacteristic
682C2×C4#8819211yescharacteristic
683C2×C4#8819311yescharacteristic
684C2×C4#8819311yescharacteristic
685C2×C4#8819311yescharacteristic
686C2×C4#8819311yescharacteristic
687C2×C4#8819311yescharacteristic
688C2×C4#8819311yescharacteristic
689C2×C4#8819411yescharacteristic
690C2×C4C2×C22⋊Dic1311yescharacteristic
691C2×C4C2×C22⋊Dic1311yescharacteristic
692C2×C4C2×C22⋊Dic1311yescharacteristic
693C2×C4#8820711yescharacteristic
694C2×C4#8820711yescharacteristic
695C2×C4#8820711yescharacteristic
696C2×C4#8820711yescharacteristic
697C8—24no—
698C8—522no—
699C22—22no—
700C22—22no—
701C22—22no—
702C22—41no—
703C22—41no—
704C22—41no—
705C22—41no—
706C22—42no—
707C22—82no—
708C22—82no—
709C22—82no—
710C22#1171888111yescharacteristic
711C22#1171888111yescharacteristic
712C22#1171888211yescharacteristic
713C22#1171888311yescharacteristic
714C22#1171888411yescharacteristic
715C22#1171888411yescharacteristic
716C22#1171888411yescharacteristic
717C4—42no—
718C4—44no—
719C4—1042no—
720C4—1042no—
721C4—1042no—
722C4#1171888111yescharacteristic
723C4#1171888111yescharacteristic
724C4#1171888211yescharacteristic
725C4#1171888311yescharacteristic
726C4#1171888311yescharacteristic
727C4#1171888311yescharacteristic
728C4#1171888411yescharacteristic
729C4#1171890811yescharacteristic
730C2—21no—
731C2—21no—
732C2—21no—
733C2—21no—
734C2—21no—
735C2—21no—
736C2—82no—
737C2#1311307711yescharacteristic
738C2#1311533212yes—
subgroupG/H
centerC22#11718881
commutatorC22×C4×C13C22×C4
FrattiniC23×C4C22×D13
FittingC22×C13×#137C2
socleC22×C13#386
prime radicalC22×C13×#41C22
cosocleC23×C4×C13C23
hypercenterC22×#137D13
hypocenterC13#11013
LCSG ▷ C22×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C23×C4 ◁ C22×#137

Complements

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

NH ≅ G/Ntype
2. C2×#11718886C2semidirect
4. #13117422C2semidirect
5. C2×#11718148C2semidirect
6. C2×#11718149C2semidirect
16. C22×C13×Q16C4semidirect
17. C22×C13×SD16C4semidirect
345. C22×Q16Dic13semidirect
346. C22×SD16Dic13semidirect
616. C13#11013semidirect

Maximal subgroups

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

subgroupindex
C2×#117188972
C2×#117188862
C2×#117189012
#131174222
C2×#117181482
C2×#117181492
C22×C13×#1372
#1101313