Finite Group Databasebeta

← #30764017

Subgroups — #30764017

Order 17152.

814 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14523976C211yesmaximal, characteristic
2C2×#16863158C211yesmaximal, characteristic
3C2×#16863158C211yesmaximal, characteristic
4C2×#16863158C211yesmaximal, characteristic
5C2×#16863151C211yesmaximal, characteristic
6#22558439C211yesmaximal, characteristic
7C67×C4⋊#95C211yesmaximal, characteristic
8C23×C67⋊C8C2211yescharacteristic
9C23×C67⋊C8C2211yescharacteristic
10C22×C4⋊Dic67C2211yescharacteristic
11C22×C4⋊Dic67C2211yescharacteristic
12C2×#14523976—22no—
13C2×#14523976—22no—
14C2×#14523976—22no—
15C2×C67⋊#95—21no—
16C2×C67⋊#95—21no—
17#16863158—22no—
18#16863158—22no—
19#16863158C414yescomplemented
20#16863151—22no—
21C22×C4⋊C4×C67C2211yescharacteristic
22C22×C4⋊C4×C67C2211yescharacteristic
23C22×C42×C67C2211yescharacteristic
24C2×#95×C67—21no—
25C2×#95×C67—21no—
26C23×Dic67—21no—
27C23×Dic67—21no—
28C22×C67⋊C8—21no—
29C22×C67⋊C8—21no—
30C22×C67⋊C8—21no—
31C22×C67⋊C8—21no—
32C22×C67⋊C8—21no—
33C22×C67⋊C8—21no—
34C22×C67⋊C8—21no—
35C22×C67⋊C8—21no—
36C22×C67⋊C8—21no—
37C22×C67⋊C8—21no—
38C22×C67⋊C8C2×C412yes—
39C22×C67⋊C8D412yes—
40C22×C67⋊C8Q812yes—
41C22×C67⋊C8Q812yes—
42C2×C4⋊Dic67—21no—
43C2×C4⋊Dic67—21no—
44C2×C4⋊Dic67—21no—
45C2×C4⋊Dic67—21no—
46C2×C4⋊Dic67—21no—
47C2×C4⋊Dic67—21no—
48C2×C4⋊Dic67—21no—
49C2×C4⋊Dic67—21no—
50C2×C4⋊Dic67—21no—
51C2×C4⋊Dic67—21no—
52C2×C4⋊Dic67C2×C412yes—
53C2×C4⋊Dic67D412yes—
54#14523976—28no—
55C67⋊#95—42no—
56C67⋊#95—42no—
57C23×C4×C67—21no—
58C23×C4×C67—21no—
59C23×C4×C67D411yescharacteristic
60C23×C4×C67D411yescharacteristic
61C23×C4×C67C2311yescharacteristic
62C2×C4⋊C4×C67—21no—
63C2×C4⋊C4×C67—21no—
64C2×C4⋊C4×C67—21no—
65C2×C4⋊C4×C67—21no—
66C2×C4⋊C4×C67—21no—
67C2×C4⋊C4×C67—21no—
68C2×C4⋊C4×C67—21no—
69C2×C4⋊C4×C67—21no—
70C2×C4⋊C4×C67—21no—
71C2×C4⋊C4×C67—21no—
72C2×C4⋊C4×C67C2×C412yes—
73C2×C4⋊C4×C67D412yes—
74C2×C42×C67—21no—
75C2×C42×C67—21no—
76C2×C42×C67—21no—
77C2×C42×C67—21no—
78C2×C42×C67—21no—
79C2×C42×C67—21no—
80#95×C67—42no—
81#95×C67—42no—
82C22×Dic67—22no—
83C22×Dic67—22no—
84C22×Dic67—41no—
85C22×Dic67—41no—
86C22×Dic67—41no—
87C22×Dic67—41no—
88C22×Dic67—41no—
89C22×Dic67—41no—
90C22×Dic67—41no—
91C22×Dic67—41no—
92C22×Dic67—41no—
93C22×Dic67—41no—
94C22×Dic67—41no—
95C22×Dic67—41no—
96C2×C67⋊C8—22no—
97C2×C67⋊C8—22no—
98C2×C67⋊C8—22no—
99C2×C67⋊C8—22no—
100C2×C67⋊C8—22no—
101C2×C67⋊C8—22no—
102C2×C67⋊C8—22no—
103C2×C67⋊C8—22no—
104C2×C67⋊C8—22no—
105C2×C67⋊C8—41no—
106C2×C67⋊C8—41no—
107C2×C67⋊C8—41no—
108C2×C67⋊C8—41no—
109C2×C67⋊C8C4⋊C414yes—
110C4⋊Dic67—22no—
111C4⋊Dic67—22no—
112C4⋊Dic67—22no—
113C4⋊Dic67—22no—
114C4⋊Dic67—41no—
115C4⋊Dic67—41no—
116C4⋊Dic67—41no—
117C4⋊Dic67—41no—
118C24×C67C2×D411yescharacteristic
119C22×C4×C67—21no—
120C22×C4×C67—21no—
121C22×C4×C67—21no—
122C22×C4×C67—21no—
123C22×C4×C67—21no—
124C22×C4×C67—21no—
125C22×C4×C67—21no—
126C22×C4×C67—21no—
127C22×C4×C67—21no—
128C22×C4×C67—21no—
129C22×C4×C67—21no—
130C22×C4×C67—21no—
131C22×C4×C67—22no—
132C22×C4×C67—22no—
133C22×C4×C67—41no—
134C22×C4×C67—41no—
135C22×C4×C67—41no—
136C22×C4×C67—41no—
137C22×C4×C67—41no—
138C22×C4×C67—41no—
139C22×C4×C67—41no—
140C22×C4×C67—41no—
141C22×C4×C67—41no—
142C22×C4×C67—41no—
143C22×C4×C67—41no—
144C22×C4×C67—41no—
145C22×C4×C67D812yes—
146C22×C4×C67Q1612yes—
147C22×C4×C67C22×C411yescharacteristic
148C22×C4×C67C2×D411yescharacteristic
149C22×C4×C67C2×D411yescharacteristic
150C22×C4×C67C2×D411yescharacteristic
151C22×C4×C67C2×Q811yescharacteristic
152C22×C4×C67C2×Q811yescharacteristic
153C22×C4×C67#4111yescharacteristic
154C22×C4×C67#4111yescharacteristic
155C22×C4×C67#4111yescharacteristic
156C22×C4×C67#4111yescharacteristic
157C22×C4×C67#4111yescharacteristic
158C22×C4×C67#4111yescharacteristic
159C22×C4×C67#4111yescharacteristic
160C22×C4×C67#4111yescharacteristic
161C4⋊C4×C67—22no—
162C4⋊C4×C67—22no—
163C4⋊C4×C67—22no—
164C4⋊C4×C67—22no—
165C4⋊C4×C67—41no—
166C4⋊C4×C67—41no—
167C4⋊C4×C67—41no—
168C4⋊C4×C67—41no—
169C42×C67—41no—
170C42×C67—41no—
171C42×C67—41no—
172C42×C67—41no—
173C23×C67C4×D411yescharacteristic
174C23×C67#12111yescharacteristic
175C23×C67#12111yescharacteristic
176C23×C67#12111yescharacteristic
177C23×C67#12311yescharacteristic
178C23×C67#12311yescharacteristic
179C23×C67C4⋊Q811yescharacteristic
180C23×C67C2×D811yescharacteristic
181C23×C67C2×Q1611yescharacteristic
182C23×C67#13511yescharacteristic
183C23×C67#13511yescharacteristic
184C23×C67AGL(1,ℤ/8)11yescharacteristic
185C23×C67AGL(1,ℤ/8)11yescharacteristic
186C23×C67#13711yescharacteristic
187C23×C67#13711yescharacteristic
188C2×C4×C67—22no—
189C2×C4×C67—22no—
190C2×C4×C67—22no—
191C2×C4×C67—22no—
192C2×C4×C67—22no—
193C2×C4×C67—22no—
194C2×C4×C67—41no—
195C2×C4×C67—41no—
196C2×C4×C67—41no—
197C2×C4×C67—41no—
198C2×C4×C67—41no—
199C2×C4×C67—41no—
200C2×C4×C67—41no—
201C2×C4×C67—41no—
202C2×C4×C67—42no—
203C2×C4×C67—42no—
204C2×C4×C67—42no—
205C2×C4×C67—42no—
206C2×C4×C67—42no—
207C2×C4×C67—42no—
208C2×C4×C67—81no—
209C2×C4×C67—81no—
210C2×C4×C67—81no—
211C2×C4×C67—81no—
212C2×C4×C67—81no—
213C2×C4×C67—81no—
214C2×C4×C67—81no—
215C2×C4×C67—81no—
216C2×C4×C67C2×C4⋊C411yescharacteristic
217C2×C4×C67#11711yescharacteristic
218C2×C4×C67#11711yescharacteristic
219C2×C4×C67C4×D411yescharacteristic
220C2×C4×C67C4×D411yescharacteristic
221C2×C4×C67C4×Q811yescharacteristic
222C2×C4×C67#12011yescharacteristic
223C2×C4×C67C22⋊Q811yescharacteristic
224C2×C4×C67C22⋊Q811yescharacteristic
225C2×C4×C67C22⋊Q811yescharacteristic
226C2×C4×C67C22⋊Q811yescharacteristic
227C2×C4×C67C22⋊Q811yescharacteristic
228C2×C4×C67#12311yescharacteristic
229C2×C4×C67#12311yescharacteristic
230C2×C4×C67#12311yescharacteristic
231C2×C4×C67#12411yescharacteristic
232C2×C4×C67#12411yescharacteristic
233C2×C4×C67#12411yescharacteristic
234C2×C4×C67#12411yescharacteristic
235C2×C4×C67#12511yescharacteristic
236C2×C4×C67#12511yescharacteristic
237C2×C4×C67#12511yescharacteristic
238C2×C4×C67#12511yescharacteristic
239C2×C4×C67#12511yescharacteristic
240C2×C4×C67#12611yescharacteristic
241C2×C4×C67#12611yescharacteristic
242C2×C4×C67#12611yescharacteristic
243C2×C4×C67#12611yescharacteristic
244C2×Dic67—42no—
245C2×Dic67—42no—
246C2×Dic67—42no—
247C2×Dic67—42no—
248C2×Dic67—42no—
249C2×Dic67—42no—
250C2×Dic67—81no—
251C2×Dic67—81no—
252C2×Dic67—81no—
253C2×Dic67—81no—
254C2×Dic67—81no—
255C2×Dic67—81no—
256C2×Dic67—81no—
257C2×Dic67—81no—
258C67⋊C8—24no—
259C67⋊C8—42no—
260C22×C67#38811yescharacteristic
261C22×C67#38811yescharacteristic
262C22×C67#38911yescharacteristic
263C22×C67#39411yescharacteristic
264C22×C67#39711yescharacteristic
265C22×C67#39811yescharacteristic
266C22×C67#39811yescharacteristic
267C22×C67C4×D811yescharacteristic
268C22×C67C4×Q1611yescharacteristic
269C22×C67#44011yescharacteristic
270C22×C67#44011yescharacteristic
271C22×C67#45911yescharacteristic
272C22×C67#45911yescharacteristic
273C22×C67#46211yescharacteristic
274C22×C67#46211yescharacteristic
275C22×C67#46311yescharacteristic
276C22×C67#46311yescharacteristic
277C22×C67#46411yescharacteristic
278C22×C67#46411yescharacteristic
279C22×C67#46611yescharacteristic
280C22×C67#46711yescharacteristic
281C22×C67#46911yescharacteristic
282C22×C67#47011yescharacteristic
283C22×C67#48011yescharacteristic
284C22×C67#48011yescharacteristic
285C22×C67#48211yescharacteristic
286C22×C67#48211yescharacteristic
287C22×C67#48411yescharacteristic
288C22×C67#48411yescharacteristic
289C22×C67#48511yescharacteristic
290C22×C67#48511yescharacteristic
291C22×C67#49911yescharacteristic
292C22×C67#50011yescharacteristic
293C22×C67#50111yescharacteristic
294C22×C67#50111yescharacteristic
295C4×C67—42no—
296C4×C67—42no—
297C4×C67—82no—
298C4×C67—82no—
299C4×C67#38211yescharacteristic
300C4×C67#38511yescharacteristic
301C4×C67#38711yescharacteristic
302C4×C67#38711yescharacteristic
303C4×C67#39311yescharacteristic
304C4×C67#40011yescharacteristic
305C4×C67#40011yescharacteristic
306C4×C67#40011yescharacteristic
307Dic67—82no—
308Dic67—82no—
309#11256—671nomaximal, Sylow
310C2×C67#144211yescharacteristic
311C2×C67#192511yescharacteristic
312C2×C67#192511yescharacteristic
313C2×C67#192811yescharacteristic
314C2×C67#192811yescharacteristic
315C2×C67#194211yescharacteristic
316C2×C67#194411yescharacteristic
317C2×C67#205411yescharacteristic
318C2×C67#205611yescharacteristic
319C2×C67#207511yescharacteristic
320C2×C67#207611yescharacteristic
321C2×C67#208311yescharacteristic
322C2×C67#208311yescharacteristic
323C2×C67#208511yescharacteristic
324C2×C67#208511yescharacteristic
325C22×#107—671no—
326C2×#340—671no—
327C2×#340—671no—
328C2×#340—671no—
329C2×#336—671no—
330C4⋊#95—671no—
331C4⋊#95D6711yescharacteristic
332C67#1125611yescharacteristic, complemented, Sylow
333C23×C8—671no—
334C23×C8—671no—
335C22×C4⋊C4—671no—
336C22×C4⋊C4—671no—
337C22×C4⋊C4C2×D6711yescharacteristic
338C22×C4⋊C4C2×D6711yescharacteristic
339C22×C42C2×D6711yescharacteristic
340C2×#107—1342no—
341C2×#107—1342no—
342C2×#107—1342no—
343C2×#95—21no—
344C2×#95—21no—
345C2×#95—1341no—
346C2×#95—1341no—
347#340—674no—
348#340—1342no—
349#340—1342no—
350#336—1342no—
351C23×C4—21no—
352C23×C4—21no—
353C23×C4—1341no—
354C23×C4—1341no—
355C23×C4C22⋊D6711yescharacteristic
356C23×C4C22⋊D6711yescharacteristic
357C23×C4C22×D6711yescharacteristic
358C22×C8—672no—
359C22×C8—672no—
360C22×C8—672no—
361C22×C8—672no—
362C22×C8—1341no—
363C22×C8—1341no—
364C22×C8—1341no—
365C22×C8—1341no—
366C22×C8—1341no—
367C22×C8—1341no—
368C22×C8—1341no—
369C22×C8—1341no—
370C22×C8—1341no—
371C22×C8—1341no—
372C2×C4⋊C4—21no—
373C2×C4⋊C4—21no—
374C2×C4⋊C4—21no—
375C2×C4⋊C4—21no—
376C2×C4⋊C4—21no—
377C2×C4⋊C4—21no—
378C2×C4⋊C4—21no—
379C2×C4⋊C4—21no—
380C2×C4⋊C4—21no—
381C2×C4⋊C4—21no—
382C2×C4⋊C4—672no—
383C2×C4⋊C4—672no—
384C2×C4⋊C4—1341no—
385C2×C4⋊C4—1341no—
386C2×C4⋊C4—1341no—
387C2×C4⋊C4—1341no—
388C2×C4⋊C4—1341no—
389C2×C4⋊C4—1341no—
390C2×C4⋊C4—1341no—
391C2×C4⋊C4—1341no—
392C2×C4⋊C4—1341no—
393C2×C4⋊C4—1341no—
394C2×C4⋊C4C4×D6712yes—
395C2×C4⋊C4D26812yes—
396C2×C42—21no—
397C2×C42—21no—
398C2×C42—21no—
399C2×C42—21no—
400C2×C42—21no—
401C2×C42—21no—
402#107—1348no—
403#95—42no—
404#95—42no—
405#95—2682no—
406#95—2682no—
407C24C2×C22⋊D6711yescharacteristic
408C22×C4—21no—
409C22×C4—21no—
410C22×C4—21no—
411C22×C4—21no—
412C22×C4—21no—
413C22×C4—21no—
414C22×C4—21no—
415C22×C4—21no—
416C22×C4—21no—
417C22×C4—21no—
418C22×C4—21no—
419C22×C4—21no—
420C22×C4—22no—
421C22×C4—22no—
422C22×C4—41no—
423C22×C4—41no—
424C22×C4—41no—
425C22×C4—41no—
426C22×C4—41no—
427C22×C4—41no—
428C22×C4—41no—
429C22×C4—41no—
430C22×C4—41no—
431C22×C4—41no—
432C22×C4—41no—
433C22×C4—41no—
434C22×C4—2681no—
435C22×C4—2681no—
436C22×C4—2681no—
437C22×C4—2681no—
438C22×C4—2681no—
439C22×C4—2681no—
440C22×C4—2681no—
441C22×C4—2681no—
442C22×C4—2681no—
443C22×C4—2681no—
444C22×C4—2681no—
445C22×C4—2681no—
446C22×C4—1342no—
447C22×C4—1342no—
448C22×C4#1176161312yes—
449C22×C4#1176161812yes—
450C22×C4C2×C4×D6711yescharacteristic
451C22×C4D4×D6711yescharacteristic
452C22×C4D4×D6711yescharacteristic
453C22×C4C2×D26811yescharacteristic
454C22×C4Q8×D6711yescharacteristic
455C22×C4Q8×D6711yescharacteristic
456C22×C4#1176162711yescharacteristic
457C22×C4#1176162711yescharacteristic
458C22×C4#1176162711yescharacteristic
459C22×C4#1176162711yescharacteristic
460C22×C4#1176162811yescharacteristic
461C22×C4#1176162811yescharacteristic
462C22×C4#1176162811yescharacteristic
463C22×C4#1176162811yescharacteristic
464C2×C8—2681no—
465C2×C8—2681no—
466C2×C8—2681no—
467C2×C8—2681no—
468C2×C8—674no—
469C2×C8—1342no—
470C2×C8—1342no—
471C2×C8—1342no—
472C2×C8—1342no—
473C2×C8—1342no—
474C2×C8—1342no—
475C2×C8—1342no—
476C2×C8—1342no—
477C2×C8—1342no—
478C4⋊C4—22no—
479C4⋊C4—22no—
480C4⋊C4—22no—
481C4⋊C4—22no—
482C4⋊C4—41no—
483C4⋊C4—41no—
484C4⋊C4—41no—
485C4⋊C4—41no—
486C4⋊C4—2681no—
487C4⋊C4—2681no—
488C4⋊C4—2681no—
489C4⋊C4—2681no—
490C4⋊C4—1342no—
491C4⋊C4—1342no—
492C4⋊C4—1342no—
493C4⋊C4—1342no—
494C42—41no—
495C42—41no—
496C42—41no—
497C42—41no—
498C23C4×C22⋊D6711yescharacteristic
499C23#1452401411yescharacteristic
500C23#1452401511yescharacteristic
501C23#1452401711yescharacteristic
502C23#1452402411yescharacteristic
503C23#1452402611yescharacteristic
504C23#1452404111yescharacteristic
505C23C2×#1176161311yescharacteristic
506C23C2×#1176161811yescharacteristic
507C23#1452406311yescharacteristic
508C23#1452406311yescharacteristic
509C23#1452406811yescharacteristic
510C23#1452406911yescharacteristic
511C23#1452407311yescharacteristic
512C23#1452407411yescharacteristic
513C2×C4—22no—
514C2×C4—22no—
515C2×C4—22no—
516C2×C4—22no—
517C2×C4—22no—
518C2×C4—22no—
519C2×C4—41no—
520C2×C4—41no—
521C2×C4—41no—
522C2×C4—41no—
523C2×C4—41no—
524C2×C4—41no—
525C2×C4—41no—
526C2×C4—41no—
527C2×C4—42no—
528C2×C4—42no—
529C2×C4—42no—
530C2×C4—42no—
531C2×C4—42no—
532C2×C4—42no—
533C2×C4—81no—
534C2×C4—81no—
535C2×C4—81no—
536C2×C4—81no—
537C2×C4—81no—
538C2×C4—81no—
539C2×C4—81no—
540C2×C4—81no—
541C2×C4—2682no—
542C2×C4—2682no—
543C2×C4—2682no—
544C2×C4—2682no—
545C2×C4—2682no—
546C2×C4—2682no—
547C2×C4—5361no—
548C2×C4—5361no—
549C2×C4—5361no—
550C2×C4—5361no—
551C2×C4—5361no—
552C2×C4—5361no—
553C2×C4—5361no—
554C2×C4—5361no—
555C2×C4C4⋊C4×D6711yescharacteristic
556C2×C4#1452399911yescharacteristic
557C2×C4#1452400011yescharacteristic
558C2×C4(C22⋊D67)⋊C411yescharacteristic
559C2×C4C4×D26811yescharacteristic
560C2×C4#1452400811yescharacteristic
561C2×C4#1452401311yescharacteristic
562C2×C4#1452402111yescharacteristic
563C2×C4#1452402111yescharacteristic
564C2×C4#1452402111yescharacteristic
565C2×C4#1452402311yescharacteristic
566C2×C4#1452402311yescharacteristic
567C2×C4#1452402511yescharacteristic
568C2×C4#1452402511yescharacteristic
569C2×C4#1452402711yescharacteristic
570C2×C4#1452402911yescharacteristic
571C2×C4#1452402911yescharacteristic
572C2×C4#1452402911yescharacteristic
573C2×C4#1452403111yescharacteristic
574C2×C4#1452403311yescharacteristic
575C2×C4#1452403311yescharacteristic
576C2×C4#1452403311yescharacteristic
577C2×C4#1452403311yescharacteristic
578C2×C4#1452403311yescharacteristic
579C2×C4#1452403611yescharacteristic
580C2×C4#1452403611yescharacteristic
581C2×C4#1452403611yescharacteristic
582C2×C4#1452403711yescharacteristic
583C8—2682no—
584C8—1344no—
585C22#1686328411yescharacteristic
586C22#1686328711yescharacteristic
587C22#1686329111yescharacteristic
588C22#1686331211yescharacteristic
589C22#1686332411yescharacteristic
590C22#1686332611yescharacteristic
591C22#1686332711yescharacteristic
592C22C4×#1176161311yescharacteristic
593C22C4×#1176161811yescharacteristic
594C22#1686349411yescharacteristic
595C22#1686349611yescharacteristic
596C22#1686358811yescharacteristic
597C22#1686359111yescharacteristic
598C22#1686360311yescharacteristic
599C22#1686360611yescharacteristic
600C22#1686360811yescharacteristic
601C22#1686361111yescharacteristic
602C22#1686361511yescharacteristic
603C22#1686361811yescharacteristic
604C22#1686363011yescharacteristic
605C22#1686363511yescharacteristic
606C22#1686364711yescharacteristic
607C22#1686365211yescharacteristic
608C22#1686370711yescharacteristic
609C22#1686370911yescharacteristic
610C22#1686371711yescharacteristic
611C22#1686372011yescharacteristic
612C22#1686372911yescharacteristic
613C22#1686373111yescharacteristic
614C22#1686373411yescharacteristic
615C22#1686373711yescharacteristic
616C22#1686379511yescharacteristic
617C22#1686379911yescharacteristic
618C22#1686380211yescharacteristic
619C22#1686380611yescharacteristic
620C4—42no—
621C4—42no—
622C4—82no—
623C4—82no—
624C4—5362no—
625C4—5362no—
626C4#1686326011yescharacteristic
627C4#1686327011yescharacteristic
628C4#1686327811yescharacteristic
629C4#1686328111yescharacteristic
630C4#1686330911yescharacteristic
631C4#1686333611yescharacteristic
632C4#1686333711yescharacteristic
633C4#1686333711yescharacteristic
634C2#2255846411yescharacteristic
635C2#2256082611yescharacteristic
636C2#2256082911yescharacteristic
637C2#2256084711yescharacteristic
638C2#2256085011yescharacteristic
639C2#2256093911yescharacteristic
640C2#2256094911yescharacteristic
641C2#2256151911yescharacteristic
642C2#2256153111yescharacteristic
643C2#2256163511yescharacteristic
644C2#2256164011yescharacteristic
645C2#2256168011yescharacteristic
646C2#2256168111yescharacteristic
647C2#2256169011yescharacteristic
648C2#2256169111yescharacteristic
subgroupG/H
centerC24C2×C22⋊D67
commutatorC22×C4×C67C22×C4
FrattiniC23×C4C22×D67
FittingC67×C4⋊#95C2
socle, prime radicalC24×C67C2×D4
cosocleC23×C4×C67C23
hypercenterC4⋊#95D67
hypocenterC67#11256
LCSG ▷ C22×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C24 ◁ C22×C42 ◁ C4⋊#95

Complements

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

NH ≅ G/Ntype
19. #16863158C4semidirect
332. C67#11256semidirect

Maximal subgroups

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

subgroupindex
C22×#145239762
C2×#168631582
C2×#168631512
#225584392
C67×C4⋊#952
#1125667