Finite Group Databasebeta

← #33104153

Subgroups — #33104153

Order 18688.

970 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17988629C211yesmaximal, characteristic, complemented
2C2×#17988625C211yesmaximal, characteristic, complemented
3#22612880C211yesmaximal, characteristic
4#22612860C211yesmaximal, characteristic
5#22610701C211yesmaximal, characteristic, complemented
6#22610690C211yesmaximal, characteristic, complemented
7#22610132C211yesmaximal, characteristic, complemented
8#22610132C211yesmaximal, characteristic, complemented
9#22610132C211yesmaximal, characteristic, complemented
10#22610121C211yesmaximal, characteristic, complemented
11#22610099C211yesmaximal, characteristic, complemented
12#22609964C211yesmaximal, characteristic, complemented
13#22609960C211yesmaximal, characteristic, complemented
14#22609828C211yesmaximal, characteristic, complemented
15C2×#435×C73C211yesmaximal, characteristic
16C2×#14556550C2211yescharacteristic
17C2×#14556550C2211yescharacteristic
18C2×#14556550C2211yescharacteristic
19C22×C4⋊Dic73C2211yescharacteristic
20#17988629—24no—
21#17988625—24no—
22C2×#14556525C2211yescharacteristic
23C2×#14556525C2211yescharacteristic
24C2×#14556525C2211yescharacteristic
25C2×#14556525C2211yescharacteristic
26C2×#14556525C2211yescharacteristic
27C2×#14556525C2211yescharacteristic
28C2×#14556523C2211yescharacteristic
29C2×#14556523C2211yescharacteristic
30C2×#14556523C2211yescharacteristic
31C2×#14556523C2211yescharacteristic
32#17988490—21no—
33#17988480—21no—
34#17988480—21no—
35#17988480—21no—
36#17988473—21no—
37#17988467—21no—
38#17988457C2211yescharacteristic
39#17988453C2211yescharacteristic
40#17988447C2211yescharacteristic
41#17988447C2211yescharacteristic
42#17988447C2211yescharacteristic
43#17988447C2211yescharacteristic
44C4⋊C4×Dic73—21no—
45C4×C4⋊Dic73C2211yescharacteristic
46C4×C4⋊Dic73C2211yescharacteristic
47C22⋊C4×Dic73—21no—
48#17988350C2211yescharacteristic
49#17988350C2211yescharacteristic
50#17988350C2211yescharacteristic
51#17988350C2211yescharacteristic
52#17988350C2211yescharacteristic
53#17988350C2211yescharacteristic
54C22×M16×C73C2211yescharacteristic
55C23×C8×C73C2211yescharacteristic
56C2×C4×D4×C73C2211yescharacteristic
57#435×C73C418yescomplemented
58C2×C4⋊C8×C73C2211yescharacteristic
59C2×C22⋊C8×C73C2211yescharacteristic
60C2×C22⋊C8×C73C2211yescharacteristic
61C2×#97×C73C2211yescharacteristic
62C23×Dic73—21no—
63#14556550—22no—
64#14556550—22no—
65#14556550—22no—
66#14556550—41no—
67#14556550—41no—
68#14556550—41no—
69C2×C4⋊Dic73—22no—
70C2×C4⋊Dic73—21no—
71C2×C4⋊Dic73—21no—
72C2×C4⋊Dic73—21no—
73C2×C4⋊Dic73—41no—
74C2×C4⋊Dic73C2311yescharacteristic
75C2×C4⋊Dic73C2311yescharacteristic
76C2×C4⋊Dic73C2311yescharacteristic
77C2×C4⋊Dic73C2311yescharacteristic
78C2×C4⋊Dic73C2311yescharacteristic
79C2×C4⋊Dic73C2311yescharacteristic
80C2×C4⋊Dic73C2311yescharacteristic
81C2×C4⋊Dic73C2311yescharacteristic
82C2×C22⋊Dic73—21no—
83C2×C22⋊Dic73—21no—
84C2×C22⋊Dic73—21no—
85C2×C22⋊Dic73—21no—
86C2×C22⋊Dic73—21no—
87C2×C22⋊Dic73—21no—
88C2×C22⋊Dic73—21no—
89C2×C4×Dic73—21no—
90C2×C4×Dic73—21no—
91C2×C4×Dic73—21no—
92C2×C4×Dic73—21no—
93C2×C4×Dic73—21no—
94#14556525—22no—
95#14556525—22no—
96#14556525—22no—
97#14556525—22no—
98#14556525—22no—
99#14556525—41no—
100#14556523—22no—
101#14556523—22no—
102#14556523—41no—
103#14556523D414yescomplemented
104#14556498—21no—
105#14556498—21no—
106#14556498—21no—
107#14556498—21no—
108#14556498—21no—
109#14556498—21no—
110#14556498—21no—
111#14556498—21no—
112C22×D4×C73D411yescharacteristic
113C23×C4×C73C2311yescharacteristic
114C23×C4×C73C2311yescharacteristic
115C2×M16×C73—22no—
116C2×M16×C73—22no—
117C2×M16×C73C2×C414yes—
118C22×C8×C73—22no—
119C22×C8×C73—22no—
120C22×C8×C73C2×C414yescomplemented
121C22×C8×C73C2311yescharacteristic
122C22×C8×C73C2311yescharacteristic
123C22×C8×C73C2311yescharacteristic
124C22×C8×C73C2311yescharacteristic
125C4×D4×C73C2×C414yes—
126C4×D4×C73Q814yes—
127C2×C4⋊C4×C73D411yescharacteristic
128C2×C22⋊C4×C73D411yescharacteristic
129C2×C22⋊C4×C73D411yescharacteristic
130C2×C42×C73C2311yescharacteristic
131C4⋊C8×C73C2×C414yescomplemented
132C22⋊C8×C73C2×C414yes—
133C22⋊C8×C73C2×C414yescomplemented
134#97×C73C2×C414yescomplemented
135C22×Dic73—21no—
136C22×Dic73—21no—
137C22×Dic73—21no—
138C22×Dic73—21no—
139C22×Dic73—21no—
140C22×Dic73—21no—
141C22×Dic73—21no—
142C22×Dic73—21no—
143C22×Dic73—42no—
144C22×Dic73—42no—
145C22×Dic73—81no—
146C4⋊Dic73—21no—
147C4⋊Dic73—21no—
148C4⋊Dic73—21no—
149C4⋊Dic73—21no—
150C4⋊Dic73—21no—
151C4⋊Dic73—21no—
152C4⋊Dic73—21no—
153C4⋊Dic73—21no—
154C4⋊Dic73—21no—
155C4⋊Dic73—21no—
156C4⋊Dic73—21no—
157C4⋊Dic73—21no—
158C4⋊Dic73—21no—
159C4⋊Dic73—21no—
160C4⋊Dic73—42no—
161C4⋊Dic73—42no—
162C4⋊Dic73—81no—
163C4⋊Dic73C2×D412yes—
164C4⋊Dic73C2×D412yes—
165C22⋊Dic73—42no—
166C22⋊Dic73—42no—
167C22⋊Dic73—42no—
168C22⋊Dic73—42no—
169C22⋊Dic73—81no—
170C22⋊Dic73—81no—
171C22⋊Dic73—81no—
172C4×Dic73—42no—
173C4×Dic73—42no—
174C4×Dic73—42no—
175C4×Dic73—42no—
176C4×Dic73—81no—
177C24×C73C2×D411yescharacteristic
178C24×C73C2×D411yescharacteristic
179C2×D4×C73—41no—
180C2×D4×C73—41no—
181C2×D4×C73C4⋊C414yes—
182C22×C4×C73—21no—
183C22×C4×C73—21no—
184C22×C4×C73—21no—
185C22×C4×C73—21no—
186C22×C4×C73—21no—
187C22×C4×C73—21no—
188C22×C4×C73—21no—
189C22×C4×C73—21no—
190C22×C4×C73C22×C412yes—
191C22×C4×C73C22×C412yes—
192C22×C4×C73C2×D411yescharacteristic
193C22×C4×C73C2×D411yescharacteristic
194C22×C4×C73C2×D411yescharacteristic
195C22×C4×C73C2×D411yescharacteristic
196C22×C4×C73C2×Q812yes—
197C22×C4×C73C2×Q812yes—
198C22×C4×C73C2411yescharacteristic
199M16×C73—28no—
200C2×C8×C73—21no—
201C2×C8×C73—21no—
202C2×C8×C73—21no—
203C2×C8×C73—21no—
204C2×C8×C73—21no—
205C2×C8×C73—21no—
206C2×C8×C73—28no—
207C2×C8×C73C22×C412yes—
208C2×C8×C73C22×C412yes—
209C2×C8×C73C22×C412yes—
210C2×C8×C73C22×C412yes—
211C2×C8×C73C2×D412yes—
212C2×C8×C73#4112yes—
213C4⋊C4×C73C4⋊C414yes—
214C22⋊C4×C73C4⋊C414yes—
215C22⋊C4×C73C4⋊C414yes—
216C42×C73C22×C412yes—
217C42×C73C2×Q812yes—
218C23×C73—21no—
219C23×C73—21no—
220C23×C73—21no—
221C23×C73—21no—
222C23×C73—21no—
223C23×C73—21no—
224C23×C73—21no—
225C23×C73—21no—
226C23×C73—21no—
227C23×C73—21no—
228C23×C73—21no—
229C23×C73—21no—
230C23×C73C2×C4⋊C412yes—
231C23×C73C2×C4⋊C412yes—
232C23×C73C22×D411yescharacteristic
233D4×C73—44no—
234C2×C4×C73—21no—
235C2×C4×C73—21no—
236C2×C4×C73—21no—
237C2×C4×C73—21no—
238C2×C4×C73—21no—
239C2×C4×C73—21no—
240C2×C4×C73—21no—
241C2×C4×C73—21no—
242C2×C4×C73—22no—
243C2×C4×C73—22no—
244C2×C4×C73—22no—
245C2×C4×C73—22no—
246C2×C4×C73—22no—
247C2×C4×C73—22no—
248C2×C4×C73—22no—
249C2×C4×C73—22no—
250C2×C4×C73C2×C4⋊C412yes—
251C2×C4×C73C2×C4⋊C412yes—
252C2×C4×C73C2×C4⋊C412yes—
253C2×C4×C73C2×C4⋊C412yes—
254C2×C4×C73C23×C411yescharacteristic
255C2×C4×C73C22×D411yescharacteristic
256C2×C4×C73C22×Q811yescharacteristic
257C2×C4×C73C2×#4111yescharacteristic
258C2×C4×C73H(5,𝔽2)11yescharacteristic
259C2×C4×C732−1+411yescharacteristic
260C2×Dic73—22no—
261C2×Dic73—22no—
262C2×Dic73—41no—
263C2×Dic73—41no—
264C2×Dic73—41no—
265C2×Dic73—41no—
266C2×Dic73—41no—
267C2×Dic73—41no—
268C2×Dic73—41no—
269C2×Dic73—41no—
270C2×Dic73—41no—
271C2×Dic73—41no—
272C2×Dic73—41no—
273C2×Dic73—41no—
274C2×Dic73—41no—
275C2×Dic73—41no—
276C2×Dic73—41no—
277C2×Dic73—41no—
278C2×Dic73—41no—
279C2×Dic73—41no—
280C2×Dic73—41no—
281C2×Dic73—41no—
282C2×Dic73—41no—
283C2×Dic73—41no—
284C2×Dic73—84no—
285C8×C73—22no—
286C8×C73—22no—
287C8×C73—22no—
288C8×C73C4×D414yes—
289C22×C73—22no—
290C22×C73—22no—
291C22×C73—22no—
292C22×C73—22no—
293C22×C73—22no—
294C22×C73—22no—
295C22×C73—41no—
296C22×C73—41no—
297C22×C73—41no—
298C22×C73—41no—
299C22×C73—41no—
300C22×C73—41no—
301C22×C73—41no—
302C22×C73—41no—
303C22×C73C22×C4⋊C411yescharacteristic
304C22×C73D4211yescharacteristic
305C22×C73#54711yescharacteristic
306C22×C73#57511yescharacteristic
307C22×C73#57511yescharacteristic
308C22×C73#57611yescharacteristic
309C22×C73#57811yescharacteristic
310C4×C73—22no—
311C4×C73—22no—
312C4×C73—22no—
313C4×C73—22no—
314C4×C73C2×C4×D411yescharacteristic
315C4×C73#52011yescharacteristic
316C4×C73D4×Q811yescharacteristic
317C4×C73#55411yescharacteristic
318Dic73—42no—
319Dic73—42no—
320Dic73—81no—
321Dic73—81no—
322Dic73—81no—
323Dic73—81no—
324Dic73—81no—
325Dic73—81no—
326#22660—731nomaximal, Sylow
327C2×C73—42no—
328C2×C73—42no—
329C2×C73D4×C4⋊C411yescharacteristic
330C2×C73#291111yescharacteristic
331C2×C73#291311yescharacteristic
332C2×C73#326811yescharacteristic
333C2×C73#326911yescharacteristic
334C2×C73#334711yescharacteristic
335C2×C73#334911yescharacteristic
336C2×#435D7311yescharacteristic
337C2×#428—731no—
338C2×#427—731no—
339#2354—731no—
340#2352—731no—
341#1949—731no—
342#1947—731no—
343#1854—731no—
344#1854—731no—
345#1854—731no—
346#1852—731no—
347#1847—731no—
348#1809—731no—
349#1808—731no—
350#1776—731no—
351C73#2266011yescharacteristic, complemented, Sylow
352C22×M16C2×D7311yescharacteristic
353C23×C8C2×D7311yescharacteristic
354C2×C4×D4C2×D7311yescharacteristic
355C2×#117—731no—
356C2×#117—731no—
357C2×#117—731no—
358C22×C4⋊C4—731no—
359#435Dic7318yescomplemented
360#428—1464no—
361#427—1464no—
362C2×#107—731no—
363C2×#107—731no—
364C2×#107—731no—
365C2×#107—731no—
366C2×#107—731no—
367C2×#107—731no—
368C2×#106—731no—
369C2×#106—731no—
370C2×#106—731no—
371C2×#106—731no—
372C2×C4⋊C8C2×D7311yescharacteristic
373C2×C22⋊C8C2×D7311yescharacteristic
374C2×C22⋊C8C2×D7311yescharacteristic
375C2×#97C2×D7311yescharacteristic
376#390—1461no—
377#388—1461no—
378#388—1461no—
379#388—1461no—
380#387—1461no—
381#386—1461no—
382#384—731no—
383#382—731no—
384#380—731no—
385#380—731no—
386#380—731no—
387#380—731no—
388C4×C4⋊C4—731no—
389C4×C4⋊C4—731no—
390C4×C4⋊C4—1461no—
391C4×C22⋊C4—1461no—
392#340—731no—
393#340—731no—
394#340—731no—
395#340—731no—
396#340—731no—
397#340—731no—
398C22×D4D29211yescharacteristic
399C23×C4—1461no—
400C23×C4C22×D7311yescharacteristic
401C23×C4C22×D7311yescharacteristic
402C2×M16—22no—
403C2×M16—22no—
404C2×M16C2×Dic7314yes—
405C22×C8—22no—
406C22×C8—22no—
407C22×C8C2×Dic7314yescomplemented
408C22×C8C22×D7311yescharacteristic
409C22×C8C22×D7311yescharacteristic
410C22×C8C22×D7311yescharacteristic
411C22×C8C22×D7311yescharacteristic
412C4×D4Dic14614yes—
413C4×D4C2×Dic7314yes—
414#117—2921no—
415#117—2921no—
416#117—2921no—
417#117—1462no—
418#117—1462no—
419#117—1462no—
420C2×C4⋊C4—2921no—
421C2×C4⋊C4—731no—
422C2×C4⋊C4—731no—
423C2×C4⋊C4—731no—
424C2×C4⋊C4—731no—
425C2×C4⋊C4—731no—
426C2×C4⋊C4—731no—
427C2×C4⋊C4—731no—
428C2×C4⋊C4—731no—
429C2×C4⋊C4—1461no—
430C2×C4⋊C4—1461no—
431C2×C4⋊C4—1462no—
432C2×C4⋊C4—1461no—
433C2×C4⋊C4D29211yescharacteristic
434C2×C22⋊C4—1461no—
435C2×C22⋊C4—1461no—
436C2×C22⋊C4—1461no—
437C2×C22⋊C4—1461no—
438C2×C22⋊C4—1461no—
439C2×C22⋊C4—1461no—
440C2×C22⋊C4—1461no—
441C2×C22⋊C4D29211yescharacteristic
442C2×C22⋊C4D29211yescharacteristic
443C2×C42—1461no—
444C2×C42—1461no—
445C2×C42—1461no—
446C2×C42—1461no—
447C2×C42—1461no—
448C2×C42C22×D7311yescharacteristic
449#107—2921no—
450#107—1462no—
451#107—1462no—
452#107—1462no—
453#107—1462no—
454#107—1462no—
455#106—2921no—
456#106—734no—
457#106—1462no—
458#106—1462no—
459C4⋊C8C2×Dic7314yescomplemented
460C22⋊C8C2×Dic7314yes—
461C22⋊C8C2×Dic7314yescomplemented
462#97C2×Dic7314yescomplemented
463#95—1461no—
464#95—1461no—
465#95—1461no—
466#95—1461no—
467#95—1461no—
468#95—1461no—
469#95—1461no—
470#95—1461no—
471C24C2×D29211yescharacteristic
472C24C2×D29211yescharacteristic
473C2×D4—41no—
474C2×D4—41no—
475C2×D4C4⋊Dic7314yes—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—2922no—
485C22×C4—2922no—
486C22×C4—5841no—
487C22×C4—1461no—
488C22×C4—1461no—
489C22×C4—1461no—
490C22×C4—1461no—
491C22×C4—1461no—
492C22×C4—1461no—
493C22×C4—1461no—
494C22×C4—1461no—
495C22×C4C22×Dic7312yes—
496C22×C4C22×Dic7312yes—
497C22×C4C2×D29211yescharacteristic
498C22×C4C2×D29211yescharacteristic
499C22×C4C2×D29211yescharacteristic
500C22×C4C2×D29211yescharacteristic
501C22×C4C2×Dic14612yes—
502C22×C4C2×Dic14612yes—
503C22×C4C23×D7311yescharacteristic
504M16—28no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—28no—
512C2×C8C22×Dic7312yes—
513C2×C8C22×Dic7312yes—
514C2×C8C22×Dic7312yes—
515C2×C8C22×Dic7312yes—
516C2×C8D4×D7312yes—
517C2×C8#1192402712yes—
518C4⋊C4—2922no—
519C4⋊C4—2922no—
520C4⋊C4—5841no—
521C4⋊C4—732no—
522C4⋊C4—732no—
523C4⋊C4—1461no—
524C4⋊C4—1461no—
525C4⋊C4—1461no—
526C4⋊C4—1461no—
527C4⋊C4—1461no—
528C4⋊C4—1461no—
529C4⋊C4—1461no—
530C4⋊C4—1461no—
531C4⋊C4—1461no—
532C4⋊C4—1461no—
533C4⋊C4—1461no—
534C4⋊C4—1461no—
535C4⋊C4—1461no—
536C4⋊C4—1461no—
537C4⋊C4C4⋊Dic7314yes—
538C22⋊C4—2922no—
539C22⋊C4—2922no—
540C22⋊C4—2922no—
541C22⋊C4—2922no—
542C22⋊C4—5841no—
543C22⋊C4—5841no—
544C22⋊C4—5841no—
545C22⋊C4C4⋊Dic7314yes—
546C22⋊C4C4⋊Dic7314yes—
547C42—2922no—
548C42—2922no—
549C42—2922no—
550C42—2922no—
551C42—5841no—
552C42C22×Dic7312yes—
553C42C2×Dic14612yes—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23C2×C4⋊Dic7312yes—
567C23C2×C4⋊Dic7312yes—
568C23C22×D29211yescharacteristic
569D4—44no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—2921no—
587C2×C4—2921no—
588C2×C4—2921no—
589C2×C4—2921no—
590C2×C4—2921no—
591C2×C4—2921no—
592C2×C4—2921no—
593C2×C4—2921no—
594C2×C4—2921no—
595C2×C4—2921no—
596C2×C4—2921no—
597C2×C4—2921no—
598C2×C4—2921no—
599C2×C4—2921no—
600C2×C4—2921no—
601C2×C4—2921no—
602C2×C4—2921no—
603C2×C4—2921no—
604C2×C4—2921no—
605C2×C4—2921no—
606C2×C4—2921no—
607C2×C4—2921no—
608C2×C4—5844no—
609C2×C4—1462no—
610C2×C4—1462no—
611C2×C4C2×C4⋊Dic7312yes—
612C2×C4C2×C4⋊Dic7312yes—
613C2×C4C2×C4⋊Dic7312yes—
614C2×C4C2×C4⋊Dic7312yes—
615C2×C4C23×Dic7311yescharacteristic
616C2×C4C2×D4×D7311yescharacteristic
617C2×C4C22×Dic14611yescharacteristic
618C2×C4C2×#1192402711yescharacteristic
619C2×C4#1455663711yescharacteristic
620C2×C4#1455663811yescharacteristic
621C8—22no—
622C8—22no—
623C8—22no—
624C8D4×Dic7314yes—
625C22—22no—
626C22—22no—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22C22×C4⋊Dic7311yescharacteristic
640C22D4×D29211yescharacteristic
641C22#1798924111yescharacteristic
642C22#1798938711yescharacteristic
643C22#1798938711yescharacteristic
644C22#1798939211yescharacteristic
645C22#1798940411yescharacteristic
646C4—22no—
647C4—22no—
648C4—22no—
649C4—22no—
650C4—2922no—
651C4—2922no—
652C4—5841no—
653C4—5841no—
654C4—5841no—
655C4—5841no—
656C4—5841no—
657C4—5841no—
658C4C2×D4×Dic7311yescharacteristic
659C4#1798907011yescharacteristic
660C4D4×Dic14611yescharacteristic
661C4#1798929411yescharacteristic
662C2—42no—
663C2—42no—
664C2D4×C4⋊Dic7311yescharacteristic
665C2#2261852111yescharacteristic
666C2#2261853111yescharacteristic
667C2#2262147611yescharacteristic
668C2#2262149111yescharacteristic
669C2#2262243311yescharacteristic
670C2#2262246311yescharacteristic
subgroupG/H
centerC23C22×D292
commutatorC2×C4×C73C23×C4
FrattiniC22×C4C23×D73
FittingC2×#435×C73C2
socleC23×C73C22×D4
prime radicalC22×D4×C73D4
cosocleC22×C4×C73C24
hypercenterC2×#435D73
hypocenterC73#22660
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#435

Complements

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

NH ≅ G/Ntype
1. C2×#17988629C2semidirect
2. C2×#17988625C2semidirect
5. #22610701C2semidirect
6. #22610690C2semidirect
7. #22610132C2semidirect
8. #22610132C2semidirect
9. #22610132C2semidirect
10. #22610121C2semidirect
11. #22610099C2semidirect
12. #22609964C2semidirect
13. #22609960C2semidirect
14. #22609828C2semidirect
57. #435×C73C4semidirect
103. #14556523D4semidirect
120. C22×C8×C73C2×C4semidirect
131. C4⋊C8×C73C2×C4semidirect
133. C22⋊C8×C73C2×C4semidirect
134. #97×C73C2×C4semidirect
351. C73#22660semidirect
359. #435Dic73semidirect
407. C22×C8C2×Dic73semidirect
459. C4⋊C8C2×Dic73semidirect
461. C22⋊C8C2×Dic73semidirect
462. #97C2×Dic73semidirect

Maximal subgroups

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

subgroupindex
C2×#179886292
C2×#179886252
#226128802
#226128602
#226107012
#226106902
#226101322
#226101212
#226100992
#226099642
#226099602
#226098282
C2×#435×C732
#2266073