Finite Group Databasebeta

← #15770802

Subgroups — #15770802

Order 3328.

934 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#88054C211yesmaximal, characteristic
2C2×C4×#6101C211yesmaximal, characteristic
3C2×#11718116C211yesmaximal, characteristic
4C2×#11718142C211yesmaximal, characteristic
5C2×#11718142C211yesmaximal, characteristic
6C2×#11718142C211yesmaximal, characteristic
7C2×C13×#336C211yesmaximal, characteristic
8C23×C8×C13C2211yescharacteristic
9C23×C8×C13C2211yescharacteristic
10C22×C42×C13C2211yescharacteristic
11C22×#6101C411yescharacteristic
12C22×#6101C411yescharacteristic
13C22×C4×Dic13C2211yescharacteristic
14C22×C4×Dic13C2211yescharacteristic
15C23×#1055C2211yescharacteristic
16C23×#1055C2211yescharacteristic
17C2×#88071C411yescharacteristic
18C2×#88071C411yescharacteristic
19C2×#88054—22no—
20C2×#88054—22no—
21C2×#88054—22no—
22C4×#6101—22no—
23C4×#6101—22no—
24C13×#336—22no—
25#11718142—22no—
26#11718142—22no—
27#11718142—22no—
28#11718116—22no—
29C23×C4×C13C2×C411yescharacteristic
30C23×C4×C13C2×C411yescharacteristic
31C23×C4×C13C2311yescharacteristic
32C23×Dic13C2×C411yescharacteristic
33C23×Dic13C2×C411yescharacteristic
34C23×Dic13C2×C411yescharacteristic
35C23×Dic13C2×C411yescharacteristic
36C22×C8×C13—21no—
37C22×C8×C13—21no—
38C22×C8×C13—21no—
39C22×C8×C13—21no—
40C22×C8×C13—21no—
41C22×C8×C13—21no—
42C22×C8×C13—21no—
43C22×C8×C13—21no—
44C22×C8×C13—21no—
45C22×C8×C13—21no—
46C22×C8×C13—21no—
47C22×C8×C13—21no—
48C22×C8×C13D412yes—
49C22×C8×C13Q812yes—
50C2×C42×C13—21no—
51C2×C42×C13—21no—
52C2×C42×C13—21no—
53C2×C42×C13—21no—
54C2×C42×C13—21no—
55C2×C42×C13—21no—
56C2×#6101—22no—
57C2×#6101—22no—
58C2×#6101—22no—
59C2×#6101—22no—
60C2×#6101—22no—
61C2×#6101C814yescomplemented
62C2×C4×Dic13—21no—
63C2×C4×Dic13—21no—
64C2×C4×Dic13—21no—
65C2×C4×Dic13—21no—
66C2×C4×Dic13—21no—
67C2×C4×Dic13—21no—
68C2×C4×Dic13—21no—
69C2×C4×Dic13—21no—
70C2×C4×Dic13D412yes—
71C2×C4×Dic13D412yes—
72C2×C4×Dic13D412yes—
73C2×C4×Dic13Q812yes—
74C22×#1055—21no—
75C22×#1055—21no—
76C22×#1055—21no—
77C22×#1055—21no—
78C22×#1055—21no—
79C22×#1055—21no—
80C22×#1055—21no—
81C22×#1055—21no—
82C22×#1055—21no—
83C22×#1055—21no—
84C22×#1055—21no—
85C22×#1055—21no—
86C22×#1055D412yes—
87C22×#1055Q812yes—
88#88071—22no—
89#88071—22no—
90#88054—28no—
91#11202—131nomaximal, Sylow
92C24×C13C22×C411yescharacteristic
93C22×C4×C13—21no—
94C22×C4×C13—21no—
95C22×C4×C13—21no—
96C22×C4×C13—21no—
97C22×C4×C13—21no—
98C22×C4×C13—21no—
99C22×C4×C13—21no—
100C22×C4×C13—21no—
101C22×C4×C13—21no—
102C22×C4×C13—21no—
103C22×C4×C13—21no—
104C22×C4×C13—21no—
105C22×C4×C13C2×C812yes—
106C22×C4×C13M1612yes—
107C22×C4×C13C2×D411yescharacteristic
108C22×C4×C13C2×D411yescharacteristic
109C22×C4×C13C2×D411yescharacteristic
110C22×C4×C13C2×D411yescharacteristic
111C22×C4×C13C2×D411yescharacteristic
112C22×C4×C13C2×Q811yescharacteristic
113C22×C4×C13C2×Q811yescharacteristic
114C22×C4×C13C2×Q811yescharacteristic
115C22×C4×C13#4111yescharacteristic
116C22×C4×C13#4111yescharacteristic
117C22×C4×C13#4111yescharacteristic
118C22×C4×C13#4111yescharacteristic
119C22×C4×C13#4111yescharacteristic
120C22×C4×C13#4111yescharacteristic
121C22×Dic13—21no—
122C22×Dic13—21no—
123C22×Dic13—21no—
124C22×Dic13—21no—
125C22×Dic13—21no—
126C22×Dic13—21no—
127C22×Dic13—21no—
128C22×Dic13—21no—
129C22×Dic13—21no—
130C22×Dic13—21no—
131C22×Dic13—21no—
132C22×Dic13—21no—
133C22×Dic13—21no—
134C22×Dic13—21no—
135C22×Dic13—21no—
136C22×Dic13—21no—
137C22×Dic13—21no—
138C22×Dic13—21no—
139C22×Dic13—21no—
140C22×Dic13—21no—
141C22×Dic13C22⋊C412yes—
142C22×Dic13C22⋊C412yes—
143C22×Dic13C4⋊C412yes—
144C22×Dic13C4⋊C412yes—
145C22×Dic13C2×C812yes—
146C22×Dic13C2×C812yes—
147C22×Dic13M1612yes—
148C22×Dic13M1612yes—
149C2×C8×C13—22no—
150C2×C8×C13—22no—
151C2×C8×C13—22no—
152C2×C8×C13—22no—
153C2×C8×C13—22no—
154C2×C8×C13—22no—
155C2×C8×C13—41no—
156C2×C8×C13—41no—
157C2×C8×C13—41no—
158C2×C8×C13—41no—
159C2×C8×C13—41no—
160C2×C8×C13—41no—
161C2×C8×C13—41no—
162C2×C8×C13—41no—
163C42×C13—41no—
164C42×C13—41no—
165C42×C13—41no—
166C42×C13—41no—
167#6101—28no—
168#6101—28no—
169C4×Dic13—22no—
170C4×Dic13—22no—
171C4×Dic13—22no—
172C4×Dic13—22no—
173C4×Dic13—22no—
174C4×Dic13—22no—
175C4×Dic13—22no—
176C4×Dic13—22no—
177C2×#1055—22no—
178C2×#1055—22no—
179C2×#1055—22no—
180C2×#1055—22no—
181C2×#1055—22no—
182C2×#1055—22no—
183C2×#1055—41no—
184C2×#1055—41no—
185C2×#1055—41no—
186C2×#1055—41no—
187C2×#1055—41no—
188C2×#1055—41no—
189C2×#1055—41no—
190C2×#1055—41no—
191C22×C4⋊C8—131no—
192C2×C4×C4⋊C4—131no—
193C2×#336—131no—
194C2×#336—131no—
195C2×#336—131no—
196C2×#336—131no—
197C2×#336D1311yescharacteristic
198C23×C13C2×C22⋊C411yescharacteristic
199C23×C13C2×C4⋊C411yescharacteristic
200C23×C13#11711yescharacteristic
201C23×C13C4×D411yescharacteristic
202C23×C13C4×D411yescharacteristic
203C23×C13C4×Q811yescharacteristic
204C23×C13C4×Q811yescharacteristic
205C23×C13C22×C811yescharacteristic
206C23×C13C2×M1611yescharacteristic
207C23×C13C2×M1611yescharacteristic
208C23×C13C2×M1611yescharacteristic
209C23×C13#13111yescharacteristic
210C23×C13#13111yescharacteristic
211C23×C13#13111yescharacteristic
212C23×C13#13111yescharacteristic
213C2×C4×C13—22no—
214C2×C4×C13—22no—
215C2×C4×C13—22no—
216C2×C4×C13—22no—
217C2×C4×C13—22no—
218C2×C4×C13—22no—
219C2×C4×C13—41no—
220C2×C4×C13—41no—
221C2×C4×C13—41no—
222C2×C4×C13—41no—
223C2×C4×C13—41no—
224C2×C4×C13—41no—
225C2×C4×C13—41no—
226C2×C4×C13—41no—
227C2×C4×C13#12011yescharacteristic
228C2×C4×C13#12111yescharacteristic
229C2×C4×C13#12111yescharacteristic
230C2×C4×C13#12111yescharacteristic
231C2×C4×C13#12111yescharacteristic
232C2×C4×C13#12111yescharacteristic
233C2×C4×C13#12111yescharacteristic
234C2×C4×C13C22⋊Q811yescharacteristic
235C2×C4×C13C22⋊Q811yescharacteristic
236C2×C4×C13C22⋊Q811yescharacteristic
237C2×C4×C13C22⋊Q811yescharacteristic
238C2×C4×C13C22⋊Q811yescharacteristic
239C2×C4×C13C22⋊Q811yescharacteristic
240C2×C4×C13C22⋊Q811yescharacteristic
241C2×C4×C13C22⋊Q811yescharacteristic
242C2×C4×C13#12311yescharacteristic
243C2×C4×C13#12311yescharacteristic
244C2×C4×C13#12311yescharacteristic
245C2×C4×C13#12411yescharacteristic
246C2×C4×C13#12511yescharacteristic
247C2×C4×C13#12511yescharacteristic
248C2×C4×C13#12511yescharacteristic
249C2×C4×C13#12511yescharacteristic
250C2×C4×C13#12611yescharacteristic
251C2×C4×C13#12611yescharacteristic
252C2×C4×C13C4⋊Q811yescharacteristic
253C2×C4×C13C4⋊Q811yescharacteristic
254C2×C4×C13C4⋊Q811yescharacteristic
255C2×Dic13—22no—
256C2×Dic13—22no—
257C2×Dic13—22no—
258C2×Dic13—22no—
259C2×Dic13—22no—
260C2×Dic13—22no—
261C2×Dic13—22no—
262C2×Dic13—22no—
263C2×Dic13—22no—
264C2×Dic13—22no—
265C2×Dic13—22no—
266C2×Dic13—22no—
267C2×Dic13—22no—
268C2×Dic13—22no—
269C2×Dic13—22no—
270C2×Dic13—22no—
271C2×Dic13—22no—
272C2×Dic13—22no—
273C2×Dic13—41no—
274C2×Dic13—41no—
275C2×Dic13—41no—
276C2×Dic13—41no—
277C2×Dic13—41no—
278C2×Dic13—41no—
279C2×Dic13—41no—
280C2×Dic13—41no—
281C2×Dic13C22⋊C814yes—
282C2×Dic13C4⋊C814yescomplemented
283C8×C13—42no—
284C8×C13—42no—
285#1055—42no—
286#1055—42no—
287C23×C8—131no—
288C23×C8—131no—
289C23×C8C2×D1311yescharacteristic
290C23×C8C2×D1311yescharacteristic
291C22×C4⋊C4—131no—
292C22×C4⋊C4—131no—
293C22×C42—131no—
294C22×C42—131no—
295C22×C42C2×D1311yescharacteristic
296C2×C4⋊C8—262no—
297C2×C4⋊C8—262no—
298C2×C4⋊C8—262no—
299C4×C4⋊C4—262no—
300C4×C4⋊C4—262no—
301C2×#95—131no—
302C2×#95—131no—
303#336—22no—
304#336—262no—
305#336—262no—
306#336—262no—
307#336—262no—
308C22×C13#38011yescharacteristic
309C22×C13#38611yescharacteristic
310C22×C13#38711yescharacteristic
311C22×C13#38711yescharacteristic
312C22×C13#38911yescharacteristic
313C22×C13#38911yescharacteristic
314C22×C13#39111yescharacteristic
315C22×C13C2×C22⋊C811yescharacteristic
316C22×C13#40711yescharacteristic
317C22×C13#40811yescharacteristic
318C22×C13#40811yescharacteristic
319C22×C13C2×C4⋊C811yescharacteristic
320C22×C13#42311yescharacteristic
321C22×C13#42411yescharacteristic
322C22×C13#42411yescharacteristic
323C22×C13#43111yescharacteristic
324C22×C13#43211yescharacteristic
325C22×C13#43311yescharacteristic
326C22×C13#43311yescharacteristic
327C22×C13C8×D411yescharacteristic
328C22×C13C8×D411yescharacteristic
329C22×C13#43511yescharacteristic
330C22×C13#43511yescharacteristic
331C22×C13#43511yescharacteristic
332C22×C13#43511yescharacteristic
333C22×C13#43611yescharacteristic
334C22×C13#43611yescharacteristic
335C22×C13C8×Q811yescharacteristic
336C22×C13C8×Q811yescharacteristic
337C22×C13#44611yescharacteristic
338C22×C13#44611yescharacteristic
339C22×C13#44611yescharacteristic
340C22×C13#44611yescharacteristic
341C22×C13#44611yescharacteristic
342C22×C13#44611yescharacteristic
343C4×C13—42no—
344C4×C13—42no—
345C4×C13#39411yescharacteristic
346C4×C13#39511yescharacteristic
347C4×C13#39611yescharacteristic
348C4×C13#39611yescharacteristic
349C4×C13#39811yescharacteristic
350C4×C13#39811yescharacteristic
351C4×C13#39811yescharacteristic
352C4×C13#40011yescharacteristic
353Dic13—24no—
354Dic13—24no—
355Dic13—42no—
356Dic13—42no—
357C23×C4—131no—
358C23×C4—131no—
359C23×C4—131no—
360C23×C4—131no—
361C23×C4C4×D1311yescharacteristic
362C23×C4C4×D1311yescharacteristic
363C23×C4C22×D1311yescharacteristic
364C22×C8—21no—
365C22×C8—21no—
366C22×C8—21no—
367C22×C8—21no—
368C22×C8—21no—
369C22×C8—21no—
370C22×C8—21no—
371C22×C8—21no—
372C22×C8—21no—
373C22×C8—21no—
374C22×C8—21no—
375C22×C8—21no—
376C22×C8—132no—
377C22×C8—132no—
378C22×C8—261no—
379C22×C8—261no—
380C22×C8—261no—
381C22×C8—261no—
382C22×C8—261no—
383C22×C8—261no—
384C22×C8—261no—
385C22×C8—261no—
386C22×C8—261no—
387C22×C8—261no—
388C22×C8—261no—
389C22×C8—261no—
390C22×C8Dic2612yes—
391C22×C8C22⋊D1312yes—
392C2×C4⋊C4—134no—
393C2×C4⋊C4—262no—
394C2×C4⋊C4—262no—
395C2×C4⋊C4—262no—
396C2×C4⋊C4—262no—
397C2×C4⋊C4—262no—
398C2×C42—21no—
399C2×C42—21no—
400C2×C42—21no—
401C2×C42—21no—
402C2×C42—21no—
403C2×C42—21no—
404C2×C42—132no—
405C2×C42—132no—
406C2×C42—132no—
407C2×C42—132no—
408C2×C42—261no—
409C2×C42—261no—
410C2×C42—261no—
411C2×C42—261no—
412C2×C42—261no—
413C2×C42—261no—
414C2×C42—261no—
415C2×C42—261no—
416C4⋊C8—268no—
417#95—262no—
418#95—262no—
419C2×C13#144111yescharacteristic
420C2×C13#179711yescharacteristic
421C2×C13#179811yescharacteristic
422C2×C13#186911yescharacteristic
423C2×C13#187011yescharacteristic
424C2×C13#191611yescharacteristic
425C2×C13#191611yescharacteristic
426C2×C13#191711yescharacteristic
427C2×C13#191711yescharacteristic
428C2×C13#193911yescharacteristic
429C2×C13#193911yescharacteristic
430C2×C13#194011yescharacteristic
431C2×C13#194011yescharacteristic
432C2×C13#198411yescharacteristic
433C2×C13#198511yescharacteristic
434C24C2×C4×D1311yescharacteristic
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—132no—
448C22×C4—132no—
449C22×C4—132no—
450C22×C4—132no—
451C22×C4—132no—
452C22×C4—132no—
453C22×C4—132no—
454C22×C4—132no—
455C22×C4—261no—
456C22×C4—261no—
457C22×C4—261no—
458C22×C4—261no—
459C22×C4—261no—
460C22×C4—261no—
461C22×C4—261no—
462C22×C4—261no—
463C22×C4—261no—
464C22×C4—261no—
465C22×C4—261no—
466C22×C4—261no—
467C22×C4—261no—
468C22×C4—261no—
469C22×C4—261no—
470C22×C4—261no—
471C22×C4—261no—
472C22×C4—261no—
473C22×C4—261no—
474C22×C4—261no—
475C22×C4C8×D1312yes—
476C22×C4#609412yes—
477C22×C4C2×Dic2611yescharacteristic
478C22×C4#612711yescharacteristic
479C22×C4#612711yescharacteristic
480C22×C4#612711yescharacteristic
481C22×C4#612711yescharacteristic
482C22×C4D4×D1311yescharacteristic
483C22×C4D4×D1311yescharacteristic
484C22×C4D4×D1311yescharacteristic
485C22×C4D4×D1311yescharacteristic
486C22×C4#612911yescharacteristic
487C22×C4#612911yescharacteristic
488C22×C4Q8×D1311yescharacteristic
489C22×C4Q8×D1311yescharacteristic
490C22×C4C2×C22⋊D1311yescharacteristic
491C2×C8—22no—
492C2×C8—22no—
493C2×C8—22no—
494C2×C8—22no—
495C2×C8—22no—
496C2×C8—22no—
497C2×C8—41no—
498C2×C8—41no—
499C2×C8—41no—
500C2×C8—41no—
501C2×C8—41no—
502C2×C8—41no—
503C2×C8—41no—
504C2×C8—41no—
505C2×C8—262no—
506C2×C8—262no—
507C2×C8—262no—
508C2×C8—262no—
509C2×C8—262no—
510C2×C8—262no—
511C2×C8—521no—
512C2×C8—521no—
513C2×C8—521no—
514C2×C8—521no—
515C2×C8—521no—
516C2×C8—521no—
517C2×C8—521no—
518C2×C8—521no—
519C4⋊C4—268no—
520C4⋊C4—268no—
521C42—41no—
522C42—41no—
523C42—41no—
524C42—41no—
525C42—262no—
526C42—262no—
527C42—262no—
528C42—262no—
529C42—262no—
530C42—262no—
531C42—262no—
532C42—262no—
533C13#1120211yescharacteristic, complemented, Sylow
534C23C4×Dic2611yescharacteristic
535C23#8812611yescharacteristic
536C23C22⋊C4×D1311yescharacteristic
537C23#8813511yescharacteristic
538C23#8814111yescharacteristic
539C23C4⋊C4×D1311yescharacteristic
540C23C2×C8×D1311yescharacteristic
541C23C2×#609411yescharacteristic
542C23#8815511yescharacteristic
543C23#8815511yescharacteristic
544C23M16×D1311yescharacteristic
545C23M16×D1311yescharacteristic
546C23#8816111yescharacteristic
547C23#8816111yescharacteristic
548C23C4×C22⋊D1311yescharacteristic
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—22no—
554C2×C4—22no—
555C2×C4—41no—
556C2×C4—41no—
557C2×C4—41no—
558C2×C4—41no—
559C2×C4—41no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—41no—
563C2×C4—134no—
564C2×C4—134no—
565C2×C4—262no—
566C2×C4—262no—
567C2×C4—262no—
568C2×C4—262no—
569C2×C4—262no—
570C2×C4—262no—
571C2×C4—262no—
572C2×C4—262no—
573C2×C4—262no—
574C2×C4—262no—
575C2×C4—262no—
576C2×C4—262no—
577C2×C4—262no—
578C2×C4—262no—
579C2×C4—262no—
580C2×C4—262no—
581C2×C4—262no—
582C2×C4—262no—
583C2×C4—521no—
584C2×C4—521no—
585C2×C4—521no—
586C2×C4—521no—
587C2×C4—521no—
588C2×C4—521no—
589C2×C4—521no—
590C2×C4—521no—
591C2×C4#8812411yescharacteristic
592C2×C4#8813011yescharacteristic
593C2×C4#8813211yescharacteristic
594C2×C4#8813211yescharacteristic
595C2×C4#8813311yescharacteristic
596C2×C4#8813711yescharacteristic
597C2×C4#8813711yescharacteristic
598C2×C4#8813811yescharacteristic
599C2×C4#8813811yescharacteristic
600C2×C4#8813811yescharacteristic
601C2×C4#8813811yescharacteristic
602C2×C4#8813911yescharacteristic
603C2×C4#8814211yescharacteristic
604C2×C4#8814211yescharacteristic
605C2×C4#8814311yescharacteristic
606C2×C4#8814311yescharacteristic
607C2×C4#8814311yescharacteristic
608C2×C4#8815011yescharacteristic
609C2×C4#8815011yescharacteristic
610C2×C4#8815011yescharacteristic
611C2×C4#8815011yescharacteristic
612C2×C4#8815011yescharacteristic
613C2×C4#8817811yescharacteristic
614C2×C4#8818311yescharacteristic
615C2×C4#8819111yescharacteristic
616C2×C4#8819211yescharacteristic
617C2×C4#8819311yescharacteristic
618C2×C4#8819811yescharacteristic
619C8—42no—
620C8—42no—
621C8—522no—
622C8—522no—
623C22#1171830711yescharacteristic
624C22#1171830811yescharacteristic
625C22#1171831311yescharacteristic
626C22#1171832811yescharacteristic
627C22C8×Dic2611yescharacteristic
628C22#1171834011yescharacteristic
629C22#1171834611yescharacteristic
630C22#1171835111yescharacteristic
631C22#1171836211yescharacteristic
632C22#1171836211yescharacteristic
633C22#1171836611yescharacteristic
634C22#1171837011yescharacteristic
635C22D13×C22⋊C811yescharacteristic
636C22#1171838611yescharacteristic
637C22#1171838711yescharacteristic
638C22#1171838811yescharacteristic
639C22#1171838811yescharacteristic
640C22#1171838911yescharacteristic
641C22#1171839011yescharacteristic
642C22#1171839111yescharacteristic
643C22#1171848911yescharacteristic
644C22#1171848911yescharacteristic
645C22#1171849111yescharacteristic
646C22#1171849211yescharacteristic
647C22D13×C4⋊C811yescharacteristic
648C22#1171849811yescharacteristic
649C22#1171850011yescharacteristic
650C22#1171850011yescharacteristic
651C22#1171859411yescharacteristic
652C22#1171861711yescharacteristic
653C22#1171863311yescharacteristic
654C22C8×C22⋊D1311yescharacteristic
655C22#1171877211yescharacteristic
656C22#1171878811yescharacteristic
657C22#1171878911yescharacteristic
658C4—42no—
659C4—42no—
660C4—264no—
661C4—264no—
662C4—522no—
663C4—522no—
664C4#1171831811yescharacteristic
665C4#1171831811yescharacteristic
666C4#1171831911yescharacteristic
667C4#1171833711yescharacteristic
668C4#1171860911yescharacteristic
669C4#1171862011yescharacteristic
670C4#1171864011yescharacteristic
671C4#1171864111yescharacteristic
672C2#1311308711yescharacteristic
673C2#1311481511yescharacteristic
674C2#1311481911yescharacteristic
675C2#1311512511yescharacteristic
676C2#1311513011yescharacteristic
677C2#1311539111yescharacteristic
678C2#1311539311yescharacteristic
679C2#1311539811yescharacteristic
680C2#1311540011yescharacteristic
681C2#1311555111yescharacteristic
682C2#1311555311yescharacteristic
683C2#1311555611yescharacteristic
684C2#1311555811yescharacteristic
685C2#1311577011yescharacteristic
686C2#1311577411yescharacteristic
subgroupG/H
center, FrattiniC23×C4C22×D13
commutatorC23×C13C22×C8
FittingC2×C13×#336C2
socle, prime radicalC24×C13C22×C4
cosocleC23×C4×C13C23
hypercenterC2×#336D13
hypocenterC13#11202
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23×C4 ◁ C2×#336

Complements

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

NH ≅ G/Ntype
61. C2×#6101C8semidirect
282. C2×Dic13C4⋊C8semidirect
533. C13#11202semidirect

Maximal subgroups

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

subgroupindex
C22×#880542
C2×C4×#61012
C2×#117181162
C2×#117181422
C2×C13×#3362
#1120213