Finite Group Databasebeta

← #33013907

Subgroups — #33013907

Order 18688.

2118 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17988490C211yesmaximal, characteristic
2C2×#17988467C211yesmaximal, characteristic
3C2×#17988462C212yesmaximal, complemented
4C2×#17988447C212yesmaximal, complemented
5#22608196C212yesmaximal, complemented
6#22608176C212yesmaximal, complemented
7#22608176C212yesmaximal, complemented
8#22608165C212yesmaximal, complemented
9C2×#386×C73C211yesmaximal, characteristic
10C24×Dic73C2211yescharacteristic
11C22×C4⋊Dic73C2212yes—
12C22×C4⋊Dic73C2212yes—
13C22×C4⋊Dic73C2212yes—
14C22×C4⋊Dic73C2211yescharacteristic
15C22×C22⋊Dic73C2212yes—
16C22×C22⋊Dic73C2212yes—
17C22×C22⋊Dic73C2212yes—
18C22×C22⋊Dic73C2211yescharacteristic
19C22×C4×Dic73C2211yescharacteristic
20#17988490—24no—
21#17988467—24no—
22#17988462—28no—
23#17988447—28no—
24C2×#14556498C2212yes—
25C2×#14556498C2212yes—
26C2×#14556498C2212yes—
27C2×#14556498C2212yes—
28C2×#14556498C2212yes—
29C2×#14556498C2212yes—
30C23×D4×C73C2211yescharacteristic
31C24×C4×C73C2211yescharacteristic
32C22×C22⋊C4×C73C2212yes—
33C22×C22⋊C4×C73C2211yescharacteristic
34#386×C73C418yescomplemented
35C2×#95×C73C2212yes—
36C23×Dic73—24no—
37C23×Dic73—22no—
38C23×Dic73—41no—
39C23×Dic73—41no—
40C23×Dic73—42no—
41C23×Dic73C2312yes—
42C23×Dic73C2312yes—
43C23×Dic73C2312yes—
44C23×Dic73C2312yes—
45C2×C4⋊Dic73—24no—
46C2×C4⋊Dic73—24no—
47C2×C4⋊Dic73—24no—
48C2×C4⋊Dic73—24no—
49C2×C4⋊Dic73—22no—
50C2×C4⋊Dic73—24no—
51C2×C4⋊Dic73—42no—
52C2×C4⋊Dic73—42no—
53C2×C4⋊Dic73—41no—
54C2×C4⋊Dic73—41no—
55C2×C4⋊Dic73—42no—
56C2×C4⋊Dic73—42no—
57C2×C22⋊Dic73—24no—
58C2×C22⋊Dic73—24no—
59C2×C22⋊Dic73—24no—
60C2×C22⋊Dic73—24no—
61C2×C22⋊Dic73—22no—
62C2×C22⋊Dic73—24no—
63C2×C22⋊Dic73—24no—
64C2×C22⋊Dic73—41no—
65C2×C22⋊Dic73—41no—
66C2×C22⋊Dic73—42no—
67C2×C22⋊Dic73—42no—
68C2×C22⋊Dic73—42no—
69C2×C4×Dic73—22no—
70C2×C4×Dic73—41no—
71C2×C4×Dic73—41no—
72#14556498—24no—
73#14556498—24no—
74#14556498—24no—
75#14556498—42no—
76#14556498—42no—
77#14556498D418yescomplemented
78C25×C73C2311yescharacteristic
79C25×C73C2311yescharacteristic
80C22×D4×C73—41no—
81C22×D4×C73—41no—
82C22×D4×C73—41no—
83C22×D4×C73—41no—
84C22×D4×C73C2×C414yes—
85C22×D4×C73D414yes—
86C22×D4×C73Q814yes—
87C23×C4×C73—24no—
88C23×C4×C73—24no—
89C23×C4×C73—41no—
90C23×C4×C73—41no—
91C23×C4×C73C2×C414yescomplemented
92C23×C4×C73C2312yes—
93C23×C4×C73C2311yescharacteristic
94C23×C4×C73C2312yes—
95C2×C22⋊C4×C73—24no—
96C2×C22⋊C4×C73—24no—
97C2×C22⋊C4×C73—41no—
98C2×C22⋊C4×C73—41no—
99C2×C22⋊C4×C73C2×C418yes—
100C2×C22⋊C4×C73C2×C414yescomplemented
101#95×C73C2×C418yescomplemented
102C22×Dic73—22no—
103C22×Dic73—22no—
104C22×Dic73—22no—
105C22×Dic73—22no—
106C22×Dic73—22no—
107C22×Dic73—22no—
108C22×Dic73—22no—
109C22×Dic73—22no—
110C22×Dic73—22no—
111C22×Dic73—22no—
112C22×Dic73—22no—
113C22×Dic73—22no—
114C22×Dic73—22no—
115C22×Dic73—22no—
116C22×Dic73—22no—
117C22×Dic73—22no—
118C22×Dic73—22no—
119C22×Dic73—22no—
120C22×Dic73—22no—
121C22×Dic73—22no—
122C22×Dic73—22no—
123C22×Dic73—22no—
124C22×Dic73—22no—
125C22×Dic73—22no—
126C22×Dic73—22no—
127C22×Dic73—22no—
128C22×Dic73—44no—
129C22×Dic73—48no—
130C22×Dic73—48no—
131C22×Dic73—44no—
132C22×Dic73—44no—
133C22×Dic73C2×D414yes—
134C22×Dic73C2×D414yes—
135C4⋊Dic73—48no—
136C4⋊Dic73—48no—
137C4⋊Dic73—48no—
138C4⋊Dic73—44no—
139C22⋊Dic73—48no—
140C22⋊Dic73—48no—
141C22⋊Dic73—48no—
142C22⋊Dic73—44no—
143C4×Dic73—44no—
144C24×C73—22no—
145C24×C73—22no—
146C24×C73—22no—
147C24×C73—22no—
148C24×C73—21no—
149C24×C73—21no—
150C24×C73—21no—
151C24×C73—21no—
152C24×C73—21no—
153C24×C73—21no—
154C24×C73—21no—
155C24×C73—21no—
156C24×C73—22no—
157C24×C73—22no—
158C24×C73—22no—
159C24×C73—22no—
160C24×C73C22×C412yes—
161C24×C73C22×C412yes—
162C24×C73C2×D412yes—
163C24×C73C2×D412yes—
164C24×C73C2×Q812yes—
165C24×C73C2×Q812yes—
166C24×C73C2411yescharacteristic
167C2×D4×C73—44no—
168C2×D4×C73—44no—
169C2×D4×C73—44no—
170C2×D4×C73—44no—
171C2×D4×C73—44no—
172C2×D4×C73—44no—
173C2×D4×C73C4⋊C4116yescomplemented
174C22×C4×C73—22no—
175C22×C4×C73—22no—
176C22×C4×C73—22no—
177C22×C4×C73—22no—
178C22×C4×C73—21no—
179C22×C4×C73—21no—
180C22×C4×C73—21no—
181C22×C4×C73—21no—
182C22×C4×C73—22no—
183C22×C4×C73—22no—
184C22×C4×C73—22no—
185C22×C4×C73—22no—
186C22×C4×C73—22no—
187C22×C4×C73—22no—
188C22×C4×C73—216no—
189C22×C4×C73—44no—
190C22×C4×C73—44no—
191C22×C4×C73—48no—
192C22×C4×C73—44no—
193C22×C4×C73C22×C414yes—
194C22×C4×C73C22×C412yes—
195C22×C4×C73C22×C414yes—
196C22×C4×C73C2×D414yes—
197C22×C4×C73C2×D412yes—
198C22×C4×C73C2×Q812yes—
199C22×C4×C73#4114yes—
200C22⋊C4×C73—216no—
201C22⋊C4×C73—44no—
202C23×C73—24no—
203C23×C73—24no—
204C23×C73—22no—
205C23×C73—22no—
206C23×C73—22no—
207C23×C73—22no—
208C23×C73—24no—
209C23×C73—24no—
210C23×C73—22no—
211C23×C73—22no—
212C23×C73—22no—
213C23×C73—22no—
214C23×C73—22no—
215C23×C73—22no—
216C23×C73—22no—
217C23×C73—22no—
218C23×C73—24no—
219C23×C73—24no—
220C23×C73—24no—
221C23×C73—24no—
222C23×C73—24no—
223C23×C73—24no—
224C23×C73—24no—
225C23×C73—24no—
226C23×C73—42no—
227C23×C73—42no—
228C23×C73—42no—
229C23×C73—42no—
230C23×C73—42no—
231C23×C73—42no—
232C23×C73—42no—
233C23×C73—42no—
234C23×C73—41no—
235C23×C73—41no—
236C23×C73—42no—
237C23×C73—42no—
238C23×C73—41no—
239C23×C73—41no—
240C23×C73—41no—
241C23×C73—41no—
242C23×C73—42no—
243C23×C73—42no—
244C23×C73—41no—
245C23×C73—41no—
246C23×C73C2×C4⋊C414yes—
247C23×C73C2×C4⋊C414yes—
248C23×C73C23×C411yescharacteristic
249C23×C73C22×D412yes—
250C23×C73C22×D411yescharacteristic
251C23×C73C22×Q811yescharacteristic
252C23×C73C2×#4112yes—
253C23×C73H(5,𝔽2)11yescharacteristic
254C23×C73H(5,𝔽2)11yescharacteristic
255C23×C73H(5,𝔽2)11yescharacteristic
256C23×C73H(5,𝔽2)11yescharacteristic
257C23×C73H(5,𝔽2)12yes—
258C23×C732−1+412yes—
259D4×C73—416no—
260C2×C4×C73—24no—
261C2×C4×C73—24no—
262C2×C4×C73—22no—
263C2×C4×C73—22no—
264C2×C4×C73—22no—
265C2×C4×C73—22no—
266C2×C4×C73—22no—
267C2×C4×C73—22no—
268C2×C4×C73—24no—
269C2×C4×C73—24no—
270C2×C4×C73—24no—
271C2×C4×C73—24no—
272C2×C4×C73—24no—
273C2×C4×C73—24no—
274C2×C4×C73—24no—
275C2×C4×C73—416no—
276C2×C4×C73—42no—
277C2×C4×C73—42no—
278C2×C4×C73—42no—
279C2×C4×C73—42no—
280C2×C4×C73C2×C4⋊C414yes—
281C2×C4×C73C4×D418yes—
282C2×Dic73—24no—
283C2×Dic73—24no—
284C2×Dic73—24no—
285C2×Dic73—24no—
286C2×Dic73—24no—
287C2×Dic73—24no—
288C2×Dic73—416no—
289C2×Dic73—42no—
290C2×Dic73—42no—
291C2×Dic73—42no—
292C2×Dic73—42no—
293C2×Dic73—42no—
294C2×Dic73—42no—
295C2×Dic73—42no—
296C2×Dic73—42no—
297C2×Dic73—42no—
298C2×Dic73—42no—
299C2×Dic73—42no—
300C2×Dic73—42no—
301C2×Dic73—42no—
302C2×Dic73—42no—
303C2×Dic73—42no—
304C2×Dic73—42no—
305C2×Dic73—42no—
306C2×Dic73—42no—
307C2×Dic73—42no—
308C2×Dic73—42no—
309C2×Dic73—42no—
310C2×Dic73—42no—
311C22×C73—24no—
312C22×C73—24no—
313C22×C73—28no—
314C22×C73—28no—
315C22×C73—44no—
316C22×C73—44no—
317C22×C73—42no—
318C22×C73—42no—
319C22×C73—42no—
320C22×C73—42no—
321C22×C73—42no—
322C22×C73—42no—
323C22×C73—44no—
324C22×C73—44no—
325C22×C73—42no—
326C22×C73—42no—
327C22×C73—44no—
328C22×C73—44no—
329C22×C73—42no—
330C22×C73—42no—
331C22×C73—42no—
332C22×C73—42no—
333C22×C73C22×C4⋊C411yescharacteristic
334C22×C73C2×C4×D412yes—
335C22×C73#51811yescharacteristic
336C22×C73#51811yescharacteristic
337C22×C73#52012yes—
338C22×C73#53411yescharacteristic
339C22×C73#53411yescharacteristic
340C22×C73#53512yes—
341C22×C73#53712yes—
342C22×C73#54012yes—
343C22×C73#54212yes—
344C22×C73#54311yescharacteristic
345C22×C73#54311yescharacteristic
346C22×C73D4211yescharacteristic
347C22×C73D4212yes—
348C22×C73#54612yes—
349C22×C73#54712yes—
350C22×C73D4×Q812yes—
351C22×C73#55111yescharacteristic
352C22×C73#55412yes—
353C22×C73#56011yescharacteristic
354C22×C73#56212yes—
355C22×C73#56311yescharacteristic
356C4×C73—24no—
357C4×C73—28no—
358C4×C73—44no—
359Dic73—44no—
360Dic73—44no—
361Dic73—82no—
362Dic73—82no—
363#14401—731nomaximal, Sylow
364C2×C73—44no—
365C2×C73—44no—
366C2×C73#231511yescharacteristic
367C2×C73#232412yes—
368C2×C73D4×C4⋊C412yes—
369C2×C73#235811yescharacteristic
370C2×C73#237611yescharacteristic
371C2×C73#266911yescharacteristic
372C2×C73#267112yes—
373C2×C73#268311yescharacteristic
374C2×C73#269212yes—
375C2×C73#271711yescharacteristic
376C2×C73#274811yescharacteristic
377C2×#390—731no—
378C2×#386—731no—
379C2×#386D7311yescharacteristic
380C2×#385—732no—
381C2×#380—732no—
382#1444—732no—
383#1439—732no—
384#1439—732no—
385#1436—732no—
386C73#1440111yescharacteristic, complemented, Sylow
387C23×D4C2×D7311yescharacteristic
388C24×C4—731no—
389C24×C4C2×D7311yescharacteristic
390C22×C4⋊C4—732no—
391C22×C4⋊C4—731no—
392C22×C4⋊C4—732no—
393C22×C4⋊C4—732no—
394C22×C22⋊C4—731no—
395C22×C22⋊C4—732no—
396C22×C22⋊C4—732no—
397C22×C22⋊C4—732no—
398C22×C22⋊C4C2×D7312yes—
399C22×C22⋊C4C2×D7311yescharacteristic
400C22×C42—731no—
401#390—1464no—
402#386—1464no—
403#386Dic7318yescomplemented
404#385—1468no—
405#380—1468no—
406C2×#95—732no—
407C2×#95—732no—
408C2×#95—732no—
409C2×#95—732no—
410C2×#95—732no—
411C2×#95—732no—
412C2×#95C2×D7312yes—
413C25C22×D7311yescharacteristic
414C25C22×D7311yescharacteristic
415C22×D4—41no—
416C22×D4—41no—
417C22×D4—41no—
418C22×D4—41no—
419C22×D4Dic14614yes—
420C22×D4D29214yes—
421C22×D4C2×Dic7314yes—
422C23×C4—24no—
423C23×C4—24no—
424C23×C4—41no—
425C23×C4—41no—
426C23×C4—2921no—
427C23×C4—2921no—
428C23×C4—2922no—
429C23×C4—732no—
430C23×C4—732no—
431C23×C4—732no—
432C23×C4—732no—
433C23×C4—1464no—
434C23×C4—1462no—
435C23×C4C2×Dic7314yescomplemented
436C23×C4C22×D7312yes—
437C23×C4C22×D7312yes—
438C23×C4C22×D7311yescharacteristic
439C2×C4⋊C4—2921no—
440C2×C4⋊C4—2921no—
441C2×C4⋊C4—2922no—
442C2×C4⋊C4—2922no—
443C2×C4⋊C4—2922no—
444C2×C4⋊C4—2922no—
445C2×C4⋊C4—1464no—
446C2×C4⋊C4—1464no—
447C2×C4⋊C4—1464no—
448C2×C4⋊C4—1464no—
449C2×C4⋊C4—1462no—
450C2×C4⋊C4—1464no—
451C2×C22⋊C4—24no—
452C2×C22⋊C4—24no—
453C2×C22⋊C4—41no—
454C2×C22⋊C4—41no—
455C2×C22⋊C4—2921no—
456C2×C22⋊C4—2921no—
457C2×C22⋊C4—2922no—
458C2×C22⋊C4—2922no—
459C2×C22⋊C4—2922no—
460C2×C22⋊C4—1464no—
461C2×C22⋊C4—1464no—
462C2×C22⋊C4—1464no—
463C2×C22⋊C4—1462no—
464C2×C22⋊C4—1464no—
465C2×C22⋊C4—1464no—
466C2×C22⋊C4—1464no—
467C2×C22⋊C4C2×Dic7318yes—
468C2×C22⋊C4C2×Dic7314yescomplemented
469C2×C42—2921no—
470C2×C42—2921no—
471C2×C42—1462no—
472#95—2922no—
473#95—2922no—
474#95—738no—
475#95—1464no—
476#95—1464no—
477#95—1464no—
478#95C2×Dic7318yescomplemented
479C24—22no—
480C24—22no—
481C24—22no—
482C24—22no—
483C24—21no—
484C24—21no—
485C24—21no—
486C24—21no—
487C24—21no—
488C24—21no—
489C24—21no—
490C24—21no—
491C24—22no—
492C24—22no—
493C24—22no—
494C24—22no—
495C24C22×Dic7312yes—
496C24C22×Dic7312yes—
497C24C2×D29212yes—
498C24C2×D29212yes—
499C24C2×Dic14612yes—
500C24C2×Dic14612yes—
501C24C23×D7311yescharacteristic
502C2×D4—44no—
503C2×D4—44no—
504C2×D4—44no—
505C2×D4—44no—
506C2×D4—44no—
507C2×D4—44no—
508C2×D4C4⋊Dic73116yescomplemented
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—216no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—48no—
527C22×C4—44no—
528C22×C4—2924no—
529C22×C4—2924no—
530C22×C4—2928no—
531C22×C4—2928no—
532C22×C4—2924no—
533C22×C4—734no—
534C22×C4—734no—
535C22×C4—1462no—
536C22×C4—1462no—
537C22×C4—1462no—
538C22×C4—1462no—
539C22×C4—1462no—
540C22×C4—1462no—
541C22×C4—1462no—
542C22×C4—1462no—
543C22×C4—1462no—
544C22×C4—1462no—
545C22×C4—1462no—
546C22×C4—1462no—
547C22×C4—1462no—
548C22×C4—1462no—
549C22×C4—1462no—
550C22×C4—1462no—
551C22×C4—1462no—
552C22×C4—1462no—
553C22×C4—1462no—
554C22×C4—1462no—
555C22×C4—1462no—
556C22×C4—1462no—
557C22×C4—1462no—
558C22×C4—1462no—
559C22×C4—1462no—
560C22×C4—1462no—
561C22×C4C22×Dic7314yes—
562C22×C4C22×Dic7312yes—
563C22×C4C22×Dic7314yes—
564C22×C4D4×D7314yes—
565C22×C4C2×D29212yes—
566C22×C4C2×Dic14612yes—
567C22×C4#1192402714yes—
568C4⋊C4—2924no—
569C4⋊C4—2928no—
570C4⋊C4—2928no—
571C4⋊C4—2928no—
572C22⋊C4—216no—
573C22⋊C4—44no—
574C22⋊C4—2924no—
575C22⋊C4—2928no—
576C22⋊C4—2928no—
577C22⋊C4—2928no—
578C42—2924no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—24no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—24no—
595C23—24no—
596C23—24no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—22no—
601C23—24no—
602C23—24no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—41no—
612C23—41no—
613C23—42no—
614C23—42no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—42no—
620C23—42no—
621C23—41no—
622C23—41no—
623C23C2×C4⋊Dic7314yes—
624C23C2×C4⋊Dic7314yes—
625C23C23×Dic7311yescharacteristic
626C23C2×D4×D7312yes—
627C23C22×D29211yescharacteristic
628C23C22×Dic14611yescharacteristic
629C23C2×#1192402712yes—
630C23#1455663611yescharacteristic
631C23#1455663611yescharacteristic
632C23#1455663611yescharacteristic
633C23#1455663611yescharacteristic
634C23#1455663712yes—
635C23#1455663812yes—
636D4—416no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—416no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—29216no—
658C2×C4—2922no—
659C2×C4—2922no—
660C2×C4—2922no—
661C2×C4—2922no—
662C2×C4—2922no—
663C2×C4—2922no—
664C2×C4—2922no—
665C2×C4—2922no—
666C2×C4—2922no—
667C2×C4—2922no—
668C2×C4—2922no—
669C2×C4—2922no—
670C2×C4—2922no—
671C2×C4—2922no—
672C2×C4—2922no—
673C2×C4—2922no—
674C2×C4—2922no—
675C2×C4—2922no—
676C2×C4—2922no—
677C2×C4—2922no—
678C2×C4—2922no—
679C2×C4—2922no—
680C2×C4—1464no—
681C2×C4—1464no—
682C2×C4—1464no—
683C2×C4—1464no—
684C2×C4—1464no—
685C2×C4—1464no—
686C2×C4C2×C4⋊Dic7314yes—
687C2×C4D4×Dic7318yes—
688C22—24no—
689C22—24no—
690C22—28no—
691C22—28no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—44no—
699C22—44no—
700C22—44no—
701C22—44no—
702C22—44no—
703C22—44no—
704C22—42no—
705C22—42no—
706C22—42no—
707C22—42no—
708C22—42no—
709C22—42no—
710C22C22×C4⋊Dic7311yescharacteristic
711C22C2×D4×Dic7312yes—
712C22#1798906211yescharacteristic
713C22#1798906211yescharacteristic
714C22#1798907012yes—
715C22#1798914911yescharacteristic
716C22#1798914911yescharacteristic
717C22#1798915312yes—
718C22#1798916612yes—
719C22#1798919012yes—
720C22#1798920412yes—
721C22#1798921311yescharacteristic
722C22#1798921311yescharacteristic
723C22#1798921911yescharacteristic
724C22D4×D29212yes—
725C22#1798922412yes—
726C22#1798924112yes—
727C22D4×Dic14612yes—
728C22#1798926811yescharacteristic
729C22#1798929412yes—
730C22#1798932711yescharacteristic
731C22#1798933412yes—
732C22#1798934011yescharacteristic
733C4—24no—
734C4—28no—
735C4—44no—
736C4—2924no—
737C4—2924no—
738C4—5842no—
739C4—5842no—
740C2—44no—
741C2—44no—
742C2#2261254511yescharacteristic
743C2#2261262612yes—
744C2D4×C4⋊Dic7312yes—
745C2#2261291511yescharacteristic
746C2#2261307911yescharacteristic
747C2#2261614911yescharacteristic
748C2#2261616512yes—
749C2#2261630411yescharacteristic
750C2#2261643112yes—
751C2#2261676911yescharacteristic
752C2#2261714611yescharacteristic
subgroupG/H
center, FrattiniC24C23×D73
commutatorC23×C73C23×C4
FittingC2×#386×C73C2
socle, cosocleC24×C73C24
prime radicalC23×D4×C73C22
hypercenterC2×#386D73
hypocenterC73#14401
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C24 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
3. C2×#17988462C2semidirect
4. C2×#17988447C2semidirect
5. #22608196C2semidirect
6. #22608176C2semidirect
7. #22608176C2semidirect
8. #22608165C2semidirect
34. #386×C73C4semidirect
77. #14556498D4semidirect
91. C23×C4×C73C2×C4semidirect
100. C2×C22⋊C4×C73C2×C4semidirect
101. #95×C73C2×C4semidirect
173. C2×D4×C73C4⋊C4semidirect
386. C73#14401semidirect
403. #386Dic73semidirect
435. C23×C4C2×Dic73semidirect
468. C2×C22⋊C4C2×Dic73semidirect
478. #95C2×Dic73semidirect
508. C2×D4C4⋊Dic73semidirect

Maximal subgroups

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

subgroupindex
C2×#179884902
C2×#179884672
C2×#179884622
C2×#179884472
#226081962
#226081762
#226081652
C2×#386×C732
#1440173