Finite Group Databasebeta

← #32994407

Subgroups — #32994407

Order 18688.

842 conjugacy classes of subgroups.

The subgroup lattice has 654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17988485C211yesmaximal, characteristic
2C2×#17988349C211yesmaximal, characteristic
3C2×#17988349C211yesmaximal, characteristic
4C2×#17988349C211yesmaximal, characteristic
5C2×#17988349C211yesmaximal, characteristic
6C2×#17988342C211yesmaximal, characteristic
7C73×C4⋊#95C211yesmaximal, characteristic
8C23×#10596831C2211yescharacteristic
9C23×#10596831C2211yescharacteristic
10C22×C4⋊Dic73C2211yescharacteristic
11C22×C4⋊Dic73C2211yescharacteristic
12C22×#11924007—21no—
13#17988485—22no—
14#17988485—22no—
15C2×#14556498—21no—
16#17988349—22no—
17#17988349—22no—
18#17988349—22no—
19#17988349C414yescomplemented
20#17988342—22no—
21C22×C4⋊C4×C73C2211yescharacteristic
22C22×C4⋊C4×C73C2211yescharacteristic
23C22×C42×C73C2211yescharacteristic
24C2×#95×C73—21no—
25C2×#95×C73—21no—
26C23×Dic73—21no—
27C23×Dic73—21no—
28C22×#10596831—21no—
29C22×#10596831—21no—
30C22×#10596831—21no—
31C22×#10596831—21no—
32C22×#10596831—21no—
33C22×#10596831—21no—
34C22×#10596831—21no—
35C22×#10596831—21no—
36C22×#10596831—21no—
37C22×#10596831—21no—
38C22×#10596831—21no—
39C22×#10596831—21no—
40C22×#10596831C2×C412yes—
41C22×#10596831D412yes—
42C2×C4⋊Dic73—21no—
43C2×C4⋊Dic73—21no—
44C2×C4⋊Dic73—21no—
45C2×C4⋊Dic73—21no—
46C2×C4⋊Dic73—21no—
47C2×C4⋊Dic73—21no—
48C2×C4⋊Dic73—21no—
49C2×C4⋊Dic73—21no—
50C2×C4⋊Dic73C2×C412yes—
51C2×C4⋊Dic73D412yes—
52C2×C4⋊Dic73D412yes—
53C2×C4⋊Dic73Q812yes—
54C2×#11924007—24no—
55C2×#11924007—42no—
56C2×#11924007—42no—
57#14556498—24no—
58C23×C4×C73—21no—
59C23×C4×C73—21no—
60C23×C4×C73D411yescharacteristic
61C23×C4×C73D411yescharacteristic
62C23×C4×C73C2311yescharacteristic
63C2×C4⋊C4×C73—21no—
64C2×C4⋊C4×C73—21no—
65C2×C4⋊C4×C73—21no—
66C2×C4⋊C4×C73—21no—
67C2×C4⋊C4×C73—21no—
68C2×C4⋊C4×C73—21no—
69C2×C4⋊C4×C73—21no—
70C2×C4⋊C4×C73—21no—
71C2×C4⋊C4×C73—21no—
72C2×C4⋊C4×C73—21no—
73C2×C4⋊C4×C73C2×C412yes—
74C2×C4⋊C4×C73Q812yes—
75C2×C42×C73—21no—
76C2×C42×C73—21no—
77C2×C42×C73—21no—
78C2×C42×C73—21no—
79C2×C42×C73—21no—
80C2×C42×C73—21no—
81#95×C73—42no—
82#95×C73—42no—
83C22×Dic73—22no—
84C22×Dic73—22no—
85C22×Dic73—22no—
86C22×Dic73—22no—
87C22×Dic73—41no—
88C22×Dic73—41no—
89C22×Dic73—41no—
90C22×Dic73—41no—
91C22×Dic73—41no—
92C22×Dic73—41no—
93C22×Dic73—41no—
94C22×Dic73—41no—
95C22×Dic73—41no—
96C22×Dic73—41no—
97C2×#10596831—22no—
98C2×#10596831—22no—
99C2×#10596831—22no—
100C2×#10596831—22no—
101C2×#10596831—22no—
102C2×#10596831—22no—
103C2×#10596831—41no—
104C2×#10596831—41no—
105C2×#10596831—41no—
106C2×#10596831—41no—
107C2×#10596831—41no—
108C2×#10596831—41no—
109C2×#10596831—41no—
110C2×#10596831—41no—
111C4⋊Dic73—22no—
112C4⋊Dic73—22no—
113C4⋊Dic73—22no—
114C4⋊Dic73—22no—
115C4⋊Dic73—22no—
116C4⋊Dic73—41no—
117C4⋊Dic73—41no—
118C4⋊Dic73C4⋊C414yes—
119#11924007—48no—
120C24×C73C2×D411yescharacteristic
121C22×C4×C73—21no—
122C22×C4×C73—21no—
123C22×C4×C73—21no—
124C22×C4×C73—21no—
125C22×C4×C73—21no—
126C22×C4×C73—21no—
127C22×C4×C73—21no—
128C22×C4×C73—21no—
129C22×C4×C73—21no—
130C22×C4×C73—21no—
131C22×C4×C73—21no—
132C22×C4×C73—21no—
133C22×C4×C73—22no—
134C22×C4×C73—22no—
135C22×C4×C73—41no—
136C22×C4×C73—41no—
137C22×C4×C73—41no—
138C22×C4×C73—41no—
139C22×C4×C73—41no—
140C22×C4×C73—41no—
141C22×C4×C73—41no—
142C22×C4×C73—41no—
143C22×C4×C73—41no—
144C22×C4×C73—41no—
145C22×C4×C73—41no—
146C22×C4×C73—41no—
147C22×C4×C73SD1612yes—
148C22×C4×C73Q1612yes—
149C22×C4×C73C22×C411yescharacteristic
150C22×C4×C73C2×D411yescharacteristic
151C22×C4×C73C2×D411yescharacteristic
152C22×C4×C73C2×D411yescharacteristic
153C22×C4×C73C2×Q811yescharacteristic
154C22×C4×C73C2×Q811yescharacteristic
155C22×C4×C73#4111yescharacteristic
156C22×C4×C73#4111yescharacteristic
157C22×C4×C73#4111yescharacteristic
158C22×C4×C73#4111yescharacteristic
159C22×C4×C73#4111yescharacteristic
160C22×C4×C73#4111yescharacteristic
161C22×C4×C73#4111yescharacteristic
162C22×C4×C73#4111yescharacteristic
163C4⋊C4×C73—22no—
164C4⋊C4×C73—22no—
165C4⋊C4×C73—22no—
166C4⋊C4×C73—22no—
167C4⋊C4×C73—41no—
168C4⋊C4×C73—41no—
169C4⋊C4×C73—41no—
170C4⋊C4×C73—41no—
171C42×C73—41no—
172C42×C73—41no—
173C42×C73—41no—
174C42×C73—41no—
175C23×C73C4×D411yescharacteristic
176C23×C73#12011yescharacteristic
177C23×C73#12111yescharacteristic
178C23×C73C22⋊Q811yescharacteristic
179C23×C73C22⋊Q811yescharacteristic
180C23×C73#12311yescharacteristic
181C23×C73#12411yescharacteristic
182C23×C73C2×SD1611yescharacteristic
183C23×C73C2×Q1611yescharacteristic
184C23×C73#13511yescharacteristic
185C23×C73#13511yescharacteristic
186C23×C73AGL(1,ℤ/8)11yescharacteristic
187C23×C73AGL(1,ℤ/8)11yescharacteristic
188C23×C73AGL(1,ℤ/8)11yescharacteristic
189C23×C73#13711yescharacteristic
190C2×C4×C73—22no—
191C2×C4×C73—22no—
192C2×C4×C73—22no—
193C2×C4×C73—22no—
194C2×C4×C73—22no—
195C2×C4×C73—22no—
196C2×C4×C73—41no—
197C2×C4×C73—41no—
198C2×C4×C73—41no—
199C2×C4×C73—41no—
200C2×C4×C73—41no—
201C2×C4×C73—41no—
202C2×C4×C73—41no—
203C2×C4×C73—41no—
204C2×C4×C73—42no—
205C2×C4×C73—42no—
206C2×C4×C73—42no—
207C2×C4×C73—42no—
208C2×C4×C73—42no—
209C2×C4×C73—42no—
210C2×C4×C73—81no—
211C2×C4×C73—81no—
212C2×C4×C73—81no—
213C2×C4×C73—81no—
214C2×C4×C73—81no—
215C2×C4×C73—81no—
216C2×C4×C73—81no—
217C2×C4×C73—81no—
218C2×C4×C73C2×C4⋊C411yescharacteristic
219C2×C4×C73#11711yescharacteristic
220C2×C4×C73#11711yescharacteristic
221C2×C4×C73C4×D411yescharacteristic
222C2×C4×C73C4×D411yescharacteristic
223C2×C4×C73C4×Q811yescharacteristic
224C2×C4×C73#12111yescharacteristic
225C2×C4×C73#12111yescharacteristic
226C2×C4×C73C22⋊Q811yescharacteristic
227C2×C4×C73C22⋊Q811yescharacteristic
228C2×C4×C73C22⋊Q811yescharacteristic
229C2×C4×C73#12311yescharacteristic
230C2×C4×C73#12311yescharacteristic
231C2×C4×C73#12311yescharacteristic
232C2×C4×C73#12311yescharacteristic
233C2×C4×C73#12411yescharacteristic
234C2×C4×C73#12411yescharacteristic
235C2×C4×C73#12411yescharacteristic
236C2×C4×C73#12511yescharacteristic
237C2×C4×C73#12511yescharacteristic
238C2×C4×C73#12511yescharacteristic
239C2×C4×C73#12511yescharacteristic
240C2×C4×C73#12511yescharacteristic
241C2×C4×C73#12611yescharacteristic
242C2×C4×C73#12611yescharacteristic
243C2×C4×C73#12611yescharacteristic
244C2×C4×C73#12611yescharacteristic
245C2×C4×C73C4⋊Q811yescharacteristic
246C2×Dic73—24no—
247C2×Dic73—42no—
248C2×Dic73—42no—
249C2×Dic73—42no—
250C2×Dic73—42no—
251C2×Dic73—42no—
252C2×Dic73—42no—
253C2×Dic73—42no—
254C2×Dic73—42no—
255C2×Dic73—42no—
256C2×Dic73—81no—
257C2×Dic73—81no—
258C2×Dic73—81no—
259C2×Dic73—81no—
260#10596831—42no—
261#10596831—42no—
262C22×C73#38511yescharacteristic
263C22×C73#38711yescharacteristic
264C22×C73#38811yescharacteristic
265C22×C73#39311yescharacteristic
266C22×C73#39411yescharacteristic
267C22×C73#39811yescharacteristic
268C22×C73#40011yescharacteristic
269C22×C73C4×SD1611yescharacteristic
270C22×C73C4×Q1611yescharacteristic
271C22×C73#44011yescharacteristic
272C22×C73#44211yescharacteristic
273C22×C73#44911yescharacteristic
274C22×C73#44911yescharacteristic
275C22×C73#45011yescharacteristic
276C22×C73#45111yescharacteristic
277C22×C73#46511yescharacteristic
278C22×C73#46711yescharacteristic
279C22×C73#46811yescharacteristic
280C22×C73#46911yescharacteristic
281C22×C73#47511yescharacteristic
282C22×C73#47611yescharacteristic
283C22×C73#47711yescharacteristic
284C22×C73#47711yescharacteristic
285C22×C73#47811yescharacteristic
286C22×C73#47811yescharacteristic
287C22×C73#47811yescharacteristic
288C22×C73#47911yescharacteristic
289C22×C73#48111yescharacteristic
290C22×C73#48211yescharacteristic
291C22×C73#48411yescharacteristic
292C22×C73#48511yescharacteristic
293C22×C73#48711yescharacteristic
294C22×C73#48811yescharacteristic
295C22×C73#48911yescharacteristic
296C22×C73#49011yescharacteristic
297C4×C73—42no—
298C4×C73—42no—
299C4×C73—82no—
300C4×C73—82no—
301C4×C73#38211yescharacteristic
302C4×C73#38711yescharacteristic
303C4×C73#38811yescharacteristic
304C4×C73#38911yescharacteristic
305C4×C73#39711yescharacteristic
306C4×C73#39811yescharacteristic
307C4×C73#40011yescharacteristic
308C4×C73#40011yescharacteristic
309Dic73—44no—
310Dic73—82no—
311#11293—731nomaximal, Sylow
312C2×C73#144211yescharacteristic
313C2×C73#186311yescharacteristic
314C2×C73#186411yescharacteristic
315C2×C73#191911yescharacteristic
316C2×C73#192111yescharacteristic
317C2×C73#193311yescharacteristic
318C2×C73#193611yescharacteristic
319C2×C73#202411yescharacteristic
320C2×C73#202511yescharacteristic
321C2×C73#203411yescharacteristic
322C2×C73#203611yescharacteristic
323C2×C73#208711yescharacteristic
324C2×C73#208811yescharacteristic
325C2×C73#210011yescharacteristic
326C2×C73#210111yescharacteristic
327C2×#389—731no—
328C2×#340—731no—
329C2×#340—731no—
330C2×#340—731no—
331C2×#340—731no—
332C2×#336—731no—
333C4⋊#95D7311yescharacteristic
334C73#1129311yescharacteristic, complemented, Sylow
335C23×C8—731no—
336C23×C8—731no—
337C22×C4⋊C4—731no—
338C22×C4⋊C4—731no—
339C22×C4⋊C4—1461no—
340C22×C4⋊C4C2×D7311yescharacteristic
341C22×C4⋊C4C2×D7311yescharacteristic
342C22×C42C2×D7311yescharacteristic
343#389—1462no—
344#389—1462no—
345C2×#95—21no—
346C2×#95—21no—
347C2×#95—1461no—
348#340—734no—
349#340—1462no—
350#340—1462no—
351#340—1462no—
352#336—1462no—
353C23×C4—21no—
354C23×C4—21no—
355C23×C4—1461no—
356C23×C4—1461no—
357C23×C4C22⋊D7311yescharacteristic
358C23×C4C22⋊D7311yescharacteristic
359C23×C4C22×D7311yescharacteristic
360C22×C8—732no—
361C22×C8—732no—
362C22×C8—1461no—
363C22×C8—1461no—
364C22×C8—1461no—
365C22×C8—1461no—
366C22×C8—1461no—
367C22×C8—1461no—
368C22×C8—1461no—
369C22×C8—1461no—
370C22×C8—1461no—
371C22×C8—1461no—
372C22×C8—1461no—
373C22×C8—1461no—
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—21no—
383C2×C4⋊C4—21no—
384C2×C4⋊C4—2922no—
385C2×C4⋊C4—2922no—
386C2×C4⋊C4—732no—
387C2×C4⋊C4—732no—
388C2×C4⋊C4—732no—
389C2×C4⋊C4—732no—
390C2×C4⋊C4—1464no—
391C2×C4⋊C4—1461no—
392C2×C4⋊C4—1461no—
393C2×C4⋊C4—1461no—
394C2×C4⋊C4—1461no—
395C2×C4⋊C4—1461no—
396C2×C4⋊C4—1461no—
397C2×C4⋊C4—1461no—
398C2×C4⋊C4—1461no—
399C2×C4⋊C4Dic14612yes—
400C2×C4⋊C4C4×D7312yes—
401C2×C42—21no—
402C2×C42—21no—
403C2×C42—21no—
404C2×C42—21no—
405C2×C42—21no—
406C2×C42—21no—
407#95—42no—
408#95—42no—
409#95—1464no—
410C24C2×C22⋊D7311yescharacteristic
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—21no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—22no—
424C22×C4—22no—
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—41no—
435C22×C4—41no—
436C22×C4—41no—
437C22×C4—2921no—
438C22×C4—2921no—
439C22×C4—2921no—
440C22×C4—2921no—
441C22×C4—2921no—
442C22×C4—2921no—
443C22×C4—2921no—
444C22×C4—2921no—
445C22×C4—2921no—
446C22×C4—2921no—
447C22×C4—1462no—
448C22×C4—1462no—
449C22×C4—1462no—
450C22×C4—1462no—
451C22×C4#1192401512yes—
452C22×C4#1192401812yes—
453C22×C4C2×C4×D7311yescharacteristic
454C22×C4D4×D7311yescharacteristic
455C22×C4D4×D7311yescharacteristic
456C22×C4D4×D7311yescharacteristic
457C22×C4Q8×D7311yescharacteristic
458C22×C4C2×Dic14611yescharacteristic
459C22×C4#1192402711yescharacteristic
460C22×C4#1192402711yescharacteristic
461C22×C4#1192402711yescharacteristic
462C22×C4#1192402811yescharacteristic
463C22×C4#1192402811yescharacteristic
464C22×C4#1192402811yescharacteristic
465C22×C4#1192402811yescharacteristic
466C22×C4#1192402911yescharacteristic
467C2×C8—2921no—
468C2×C8—2921no—
469C2×C8—2921no—
470C2×C8—2921no—
471C2×C8—2921no—
472C2×C8—2921no—
473C2×C8—2921no—
474C2×C8—2921no—
475C2×C8—1462no—
476C2×C8—1462no—
477C2×C8—1462no—
478C2×C8—1462no—
479C2×C8—1462no—
480C2×C8—1462no—
481C4⋊C4—22no—
482C4⋊C4—22no—
483C4⋊C4—22no—
484C4⋊C4—22no—
485C4⋊C4—41no—
486C4⋊C4—41no—
487C4⋊C4—41no—
488C4⋊C4—41no—
489C4⋊C4—2928no—
490C4⋊C4—2921no—
491C4⋊C4—2921no—
492C4⋊C4—734no—
493C4⋊C4—1462no—
494C4⋊C4—1462no—
495C4⋊C4—1462no—
496C4⋊C4—1462no—
497C4⋊C4—1462no—
498C42—41no—
499C42—41no—
500C42—41no—
501C42—41no—
502C23C4×C22⋊D7311yescharacteristic
503C23#1455655911yescharacteristic
504C23#1455656311yescharacteristic
505C23#1455656711yescharacteristic
506C23#1455657011yescharacteristic
507C23#1455657411yescharacteristic
508C23#1455657811yescharacteristic
509C23C2×#1192401511yescharacteristic
510C23C2×#1192401811yescharacteristic
511C23#1455661111yescharacteristic
512C23#1455661111yescharacteristic
513C23#1455661611yescharacteristic
514C23#1455661711yescharacteristic
515C23#1455661711yescharacteristic
516C23#1455662111yescharacteristic
517C2×C4—22no—
518C2×C4—22no—
519C2×C4—22no—
520C2×C4—22no—
521C2×C4—22no—
522C2×C4—22no—
523C2×C4—41no—
524C2×C4—41no—
525C2×C4—41no—
526C2×C4—41no—
527C2×C4—41no—
528C2×C4—41no—
529C2×C4—41no—
530C2×C4—41no—
531C2×C4—42no—
532C2×C4—42no—
533C2×C4—42no—
534C2×C4—42no—
535C2×C4—42no—
536C2×C4—42no—
537C2×C4—81no—
538C2×C4—81no—
539C2×C4—81no—
540C2×C4—81no—
541C2×C4—81no—
542C2×C4—81no—
543C2×C4—81no—
544C2×C4—81no—
545C2×C4—2922no—
546C2×C4—2922no—
547C2×C4—2922no—
548C2×C4—2922no—
549C2×C4—2922no—
550C2×C4—2922no—
551C2×C4—2922no—
552C2×C4—2922no—
553C2×C4—2922no—
554C2×C4—5841no—
555C2×C4—5841no—
556C2×C4—5841no—
557C2×C4—5841no—
558C2×C4—1464no—
559C2×C4C4⋊C4×D7311yescharacteristic
560C2×C4#1455654711yescharacteristic
561C2×C4#1455654811yescharacteristic
562C2×C4#1455655111yescharacteristic
563C2×C4#1455655311yescharacteristic
564C2×C4C4×Dic14611yescharacteristic
565C2×C4#1455656411yescharacteristic
566C2×C4#1455656411yescharacteristic
567C2×C4#1455656811yescharacteristic
568C2×C4#1455656811yescharacteristic
569C2×C4#1455656911yescharacteristic
570C2×C4#1455657311yescharacteristic
571C2×C4#1455657311yescharacteristic
572C2×C4#1455657611yescharacteristic
573C2×C4#1455657611yescharacteristic
574C2×C4#1455657711yescharacteristic
575C2×C4#1455657711yescharacteristic
576C2×C4#1455657711yescharacteristic
577C2×C4#1455658111yescharacteristic
578C2×C4#1455658111yescharacteristic
579C2×C4#1455658111yescharacteristic
580C2×C4#1455658211yescharacteristic
581C2×C4#1455658311yescharacteristic
582C2×C4#1455658411yescharacteristic
583C2×C4#1455658511yescharacteristic
584C2×C4#1455658611yescharacteristic
585C2×C4#1455658611yescharacteristic
586C2×C4#1455659011yescharacteristic
587C8—2922no—
588C8—2922no—
589C22#1798845811yescharacteristic
590C22#1798847111yescharacteristic
591C22#1798848111yescharacteristic
592C22#1798849911yescharacteristic
593C22#1798850211yescharacteristic
594C22#1798852011yescharacteristic
595C22#1798852511yescharacteristic
596C22C4×#1192401511yescharacteristic
597C22C4×#1192401811yescharacteristic
598C22#1798868711yescharacteristic
599C22#1798869711yescharacteristic
600C22#1798873011yescharacteristic
601C22#1798873011yescharacteristic
602C22#1798873711yescharacteristic
603C22#1798874211yescharacteristic
604C22#1798881811yescharacteristic
605C22#1798882611yescharacteristic
606C22#1798883111yescharacteristic
607C22#1798883811yescharacteristic
608C22#1798887211yescharacteristic
609C22#1798887411yescharacteristic
610C22#1798887911yescharacteristic
611C22#1798888211yescharacteristic
612C22#1798888411yescharacteristic
613C22#1798888711yescharacteristic
614C22#1798888711yescharacteristic
615C22#1798889111yescharacteristic
616C22#1798890511yescharacteristic
617C22#1798891111yescharacteristic
618C22#1798892211yescharacteristic
619C22#1798892811yescharacteristic
620C22#1798893711yescharacteristic
621C22#1798894111yescharacteristic
622C22#1798894611yescharacteristic
623C22#1798895111yescharacteristic
624C4—42no—
625C4—42no—
626C4—82no—
627C4—82no—
628C4—2924no—
629C4—5842no—
630C4#1798845111yescharacteristic
631C4#1798847011yescharacteristic
632C4#1798847611yescharacteristic
633C4#1798848411yescharacteristic
634C4#1798851611yescharacteristic
635C4#1798852111yescharacteristic
636C4#1798852811yescharacteristic
637C4#1798852911yescharacteristic
638C2#2260818911yescharacteristic
639C2#2261018411yescharacteristic
640C2#2261019111yescharacteristic
641C2#2261050911yescharacteristic
642C2#2261052311yescharacteristic
643C2#2261061011yescharacteristic
644C2#2261063111yescharacteristic
645C2#2261107211yescharacteristic
646C2#2261107711yescharacteristic
647C2#2261112011yescharacteristic
648C2#2261113411yescharacteristic
649C2#2261142711yescharacteristic
650C2#2261143311yescharacteristic
651C2#2261149311yescharacteristic
652C2#2261149811yescharacteristic
subgroupG/H
centerC24C2×C22⋊D73
commutatorC22×C4×C73C22×C4
FrattiniC23×C4C22×D73
FittingC73×C4⋊#95C2
socle, prime radicalC24×C73C2×D4
cosocleC23×C4×C73C23
hypercenterC4⋊#95D73
hypocenterC73#11293
LCSG ▷ C22×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C24 ◁ C22×C42 ◁ C4⋊#95

Complements

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

NH ≅ G/Ntype
19. #17988349C4semidirect
334. C73#11293semidirect

Maximal subgroups

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

subgroupindex
C2×#179884852
C2×#179883492
C2×#179883422
C73×C4⋊#952
#1129373