Finite Group Databasebeta

← #33108573

Subgroups — #33108573

Order 18688.

1066 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17988816C211yesmaximal, characteristic
2C2×#17988674C211yesmaximal, characteristic, complemented
3#22612947C211yesmaximal, characteristic
4#22612936C211yesmaximal, characteristic, complemented
5#22610783C211yesmaximal, characteristic, complemented
6#22610657C211yesmaximal, characteristic, complemented
7#22610564C211yesmaximal, characteristic, complemented
8#22610557C211yesmaximal, characteristic, complemented
9#22610248C211yesmaximal, characteristic
10#22610238C211yesmaximal, characteristic, complemented
11#22610196C211yesmaximal, characteristic, complemented
12#22610189C211yesmaximal, characteristic, complemented
13#106×Dic73C211yesmaximal, characteristic, complemented
14C8×C22⋊Dic73C211yesmaximal, characteristic, complemented
15C22×#106×C73C211yesmaximal, characteristic, complemented
16C22×#11924017C2211yescharacteristic
17C2×#14556570C2211yescharacteristic
18C2×#14556565C2211yescharacteristic
19C2×#14556556C2211yescharacteristic
20C2×#14556553C2211yescharacteristic
21C2×C4×C22⋊D73—21no—
22#17988816C418yescomplemented
23#17988674—24no—
24C2×#14556523C2211yescharacteristic
25C2×#14556516C2211yescharacteristic
26C2×#14556514C2211yescharacteristic
27C2×#14556514C2211yescharacteristic
28C2×#14556513C2211yescharacteristic
29C2×#14556511C2211yescharacteristic
30C2×#14556511C2211yescharacteristic
31C2×C22⋊#10596831C2211yescharacteristic
32C2×C8×Dic73C2211yescharacteristic
33C2×C8×Dic73C2211yescharacteristic
34#17988492C2211yescharacteristic
35#17988488C2211yescharacteristic
36#17988483C2211yescharacteristic
37#17988483C2211yescharacteristic
38#17988482—21no—
39#17988477—21no—
40#17988468—21no—
41#17988466—21no—
42#17988460—21no—
43#17988458—21no—
44C4⋊C4×Dic73C2211yescharacteristic
45C4⋊C4×Dic73C2211yescharacteristic
46C4×C22⋊Dic73—21no—
47C4×C22⋊Dic73C2211yescharacteristic
48#17988349C2211yescharacteristic
49#17988349C2211yescharacteristic
50#17988349C2211yescharacteristic
51#17988349C2211yescharacteristic
52#17988341C2211yescharacteristic
53#17988341C2211yescharacteristic
54C23×C8×C73C2211yescharacteristic
55C22×C4⋊C4×C73C2211yescharacteristic
56C22×C4⋊C4×C73C2211yescharacteristic
57C2×#106×C73—24no—
58C2×#106×C73C2211yescharacteristic
59C2×#106×C73C2211yescharacteristic
60C2×#106×C73C2211yescharacteristic
61C2×#106×C73C2211yescharacteristic
62C22×Dic146C2311yescharacteristic
63C22×D292C2311yescharacteristic
64C22×C22⋊D73—21no—
65C22×C4×D73—21no—
66C2×#11924017—22no—
67C2×#11924017—22no—
68C2×#11924017C2×C414yescomplemented
69C22×#10596831C2311yescharacteristic
70C22×#10596831C2311yescharacteristic
71#14556570—22no—
72#14556570C2×C414yescomplemented
73#14556565—22no—
74#14556565C2×C414yes—
75#14556556—22no—
76#14556556—41no—
77#14556553—22no—
78#14556553—41no—
79C4×C22⋊D73—44no—
80C2×C4⋊Dic73C2311yescharacteristic
81C2×C4⋊Dic73C2311yescharacteristic
82C2×#11924007—21no—
83C2×#11924007—21no—
84C2×#11924007—21no—
85C2×#11924007—21no—
86C2×C22⋊Dic73—21no—
87C2×C22⋊Dic73D411yescharacteristic
88C2×C22⋊Dic73D411yescharacteristic
89C2×#11924005—21no—
90C2×#11924005—21no—
91C2×#11924005—21no—
92C2×#11924005—21no—
93C2×C4×Dic73—21no—
94C2×C4×Dic73—21no—
95C2×C4×Dic73—21no—
96C2×C4×Dic73C2311yescharacteristic
97C2×C4×Dic73C2311yescharacteristic
98#14556523C2×C414yescomplemented
99#14556516C2×C414yescomplemented
100#14556514—22no—
101#14556514—41no—
102#14556513C2×C414yescomplemented
103#14556511—22no—
104#14556511—41no—
105C22⋊#10596831—22no—
106C8×Dic73—22no—
107C8×Dic73—22no—
108#14556498—21no—
109#14556498—21no—
110#14556498—21no—
111#14556498—21no—
112#14556498—21no—
113#14556498—21no—
114#14556498D411yescharacteristic
115#14556498D411yescharacteristic
116C23×C4×C73—21no—
117C23×C4×C73—21no—
118C23×C4×C73C2311yescharacteristic
119C22×C8×C73—22no—
120C22×C8×C73—22no—
121C22×C8×C73C2×C414yescomplemented
122C22×C8×C73C2311yescharacteristic
123C22×C8×C73C2311yescharacteristic
124C2×C4⋊C4×C73—22no—
125C2×C4⋊C4×C73—22no—
126C2×C4⋊C4×C73—21no—
127C2×C4⋊C4×C73—21no—
128C2×C4⋊C4×C73—41no—
129C2×C4⋊C4×C73—41no—
130C2×C4⋊C4×C73C2311yescharacteristic
131C2×C4⋊C4×C73C2311yescharacteristic
132C2×C4⋊C4×C73C2311yescharacteristic
133C2×C4⋊C4×C73C2311yescharacteristic
134#106×C73—22no—
135#106×C73—22no—
136#106×C73—22no—
137#106×C73D414yescomplemented
138C23×D73—21no—
139C2×Dic146—21no—
140C2×Dic146—21no—
141C2×Dic146—21no—
142C2×Dic146—21no—
143C2×Dic146—21no—
144C2×Dic146C22×C412yes—
145C2×D292—21no—
146C2×D292—21no—
147C2×D292—21no—
148C2×D292—21no—
149C2×D292—21no—
150C2×D292C22×C412yes—
151C2×C22⋊D73—24no—
152C2×C22⋊D73—42no—
153C2×C22⋊D73—42no—
154C22×Dic73—21no—
155C22×Dic73—21no—
156C22×Dic73—21no—
157C22×Dic73C2×D411yescharacteristic
158C22×Dic73C2×D411yescharacteristic
159C22×Dic73C2×D411yescharacteristic
160C22×Dic73C2×D411yescharacteristic
161C2×C4×D73—42no—
162C2×C4×D73—42no—
163C2×C4×D73—81no—
164#11924017—28no—
165C2×#10596831—21no—
166C2×#10596831—21no—
167C2×#10596831—21no—
168C2×#10596831—21no—
169C2×#10596831—21no—
170C2×#10596831—21no—
171C4⋊Dic73—21no—
172C4⋊Dic73—21no—
173C4⋊Dic73C22×C412yes—
174C4⋊Dic73C22×C412yes—
175#11924007—24no—
176#11924007—42no—
177#11924007—42no—
178#11924007—81no—
179C22⋊Dic73—24no—
180C22⋊Dic73—22no—
181C22⋊Dic73SD1614yescomplemented
182#11924005—24no—
183#11924005—42no—
184#11924005—42no—
185#11924005—81no—
186C4×Dic73—21no—
187C4×Dic73—21no—
188C4×Dic73—21no—
189C4×Dic73—21no—
190C4×Dic73—42no—
191C4×Dic73—42no—
192C4×Dic73—81no—
193C24×C73C2×D411yescharacteristic
194C22×C4×C73—21no—
195C22×C4×C73—21no—
196C22×C4×C73—21no—
197C22×C4×C73—21no—
198C22×C4×C73—21no—
199C22×C4×C73—21no—
200C22×C4×C73—21no—
201C22×C4×C73—21no—
202C22×C4×C73—42no—
203C22×C4×C73—42no—
204C22×C4×C73—42no—
205C22×C4×C73—42no—
206C22×C4×C73—81no—
207C22×C4×C73—81no—
208C22×C4×C73C22×C412yes—
209C22×C4×C73C2×D411yescharacteristic
210C22×C4×C73#4112yes—
211C22×C4×C73C2411yescharacteristic
212C2×C8×C73—21no—
213C2×C8×C73—21no—
214C2×C8×C73—28no—
215C2×C8×C73C22×C412yes—
216C2×C8×C73C22×C412yes—
217C2×C8×C73C2×D412yes—
218C2×C8×C73#4112yes—
219C4⋊C4×C73—21no—
220C4⋊C4×C73—21no—
221C4⋊C4×C73—21no—
222C4⋊C4×C73—21no—
223C4⋊C4×C73—21no—
224C4⋊C4×C73—21no—
225C4⋊C4×C73—42no—
226C4⋊C4×C73—42no—
227C4⋊C4×C73C2×D412yes—
228C4⋊C4×C73C2×D412yes—
229C23×C73—21no—
230C23×C73—21no—
231C23×C73—21no—
232C23×C73—21no—
233C23×C73C4×D412yes—
234C23×C73C2×SD1612yes—
235C23×C73#13512yes—
236C23×C73C22×D411yescharacteristic
237C22×D73—22no—
238C22×D73—41no—
239C22×D73—41no—
240C22×D73—41no—
241C22×D73—41no—
242C22×D73—41no—
243C22×D73—41no—
244C2×C4×C73—21no—
245C2×C4×C73—21no—
246C2×C4×C73—22no—
247C2×C4×C73—22no—
248C2×C4×C73—22no—
249C2×C4×C73—22no—
250C2×C4×C73—22no—
251C2×C4×C73—22no—
252C2×C4×C73—41no—
253C2×C4×C73—41no—
254C2×C4×C73—41no—
255C2×C4×C73—41no—
256C2×C4×C73—41no—
257C2×C4×C73—41no—
258C2×C4×C73—41no—
259C2×C4×C73—41no—
260C2×C4×C73—41no—
261C2×C4×C73—41no—
262C2×C4×C73—84no—
263C2×C4×C73—84no—
264C2×C4×C73C4×D412yes—
265C2×C4×C73C23×C411yescharacteristic
266C2×C4×C73C22×D411yescharacteristic
267C2×C4×C73C2×#4111yescharacteristic
268C2×C4×C73C2×#4111yescharacteristic
269C2×C4×C73H(5,𝔽2)11yescharacteristic
270C2×C4×C732−1+411yescharacteristic
271C22⋊D73—48no—
272C2×Dic73—21no—
273C2×Dic73—21no—
274C2×Dic73—21no—
275C2×Dic73—21no—
276C2×Dic73—22no—
277C2×Dic73—22no—
278C2×Dic73—22no—
279C2×Dic73—21no—
280C2×Dic73—21no—
281C2×Dic73—21no—
282C2×Dic73—21no—
283C2×Dic73—21no—
284C2×Dic73—21no—
285C2×Dic73—41no—
286C2×Dic73—41no—
287C2×Dic73—41no—
288C2×Dic73—41no—
289C2×Dic73—41no—
290C2×Dic73—41no—
291C2×Dic73C2×SD1612yes—
292C2×Dic73C2×SD1612yes—
293D292—22no—
294D292—22no—
295D292—41no—
296D292—41no—
297C4×D73—84no—
298Dic146—22no—
299Dic146—22no—
300Dic146—41no—
301Dic146—41no—
302C8×C73—22no—
303C8×C73C4×D414yescomplemented
304#10596831—41no—
305#10596831—41no—
306C22×C73—22no—
307C22×C73—22no—
308C22×C73—22no—
309C22×C73—22no—
310C22×C73—22no—
311C22×C73—22no—
312C22×C73C4×SD1614yescomplemented
313C22×C73C2×C4×D411yescharacteristic
314C22×C73D4211yescharacteristic
315C22×C73#54711yescharacteristic
316C22×C73C22×SD1611yescharacteristic
317C22×C73C2×#13511yescharacteristic
318C22×C73#57711yescharacteristic
319C22×C73#57711yescharacteristic
320C2×D73—42no—
321C2×D73—42no—
322C2×D73—42no—
323C2×D73—81no—
324C2×D73—81no—
325C2×D73—81no—
326C2×D73—81no—
327C4×C73—22no—
328C4×C73—42no—
329C4×C73—42no—
330C4×C73—81no—
331C4×C73—81no—
332C4×C73C2×C4×D411yescharacteristic
333C4×C73#52011yescharacteristic
334C4×C73#54811yescharacteristic
335C4×C73#55311yescharacteristic
336Dic73—22no—
337Dic73—22no—
338Dic73—41no—
339Dic73—42no—
340Dic73—42no—
341Dic73—42no—
342Dic73—41no—
343#23022—731nomaximal, Sylow
344C2×C73—24no—
345C2×C73#236111yescharacteristic
346C2×C73C2×C4×SD1611yescharacteristic
347C2×C73#295211yescharacteristic
348C2×C73D4×SD1611yescharacteristic
349C2×C73#328211yescharacteristic
350C2×C73#333511yescharacteristic
351C2×C73#333711yescharacteristic
352D73—82no—
353C2×#465—731no—
354C2×C4×SD16—731no—
355C22×#106D7311yescharacteristic, complemented
356#2361—731no—
357#2360—731no—
358#1968—731no—
359#1941—731no—
360#1927—731no—
361#1926—731no—
362#1874—731no—
363#1872—731no—
364#1865—731no—
365#1864—731no—
366C4×#106—731no—
367C8×C22⋊C4—731no—
368C73#2302211yescharacteristic, complemented, Sylow
369C22×SD16—731no—
370C23×C8C2×D7311yescharacteristic
371C2×C22⋊Q8—731no—
372C2×#121—731no—
373C2×C4×Q8—731no—
374C2×C4×D4—731no—
375C2×C4×D4—1461no—
376C22×C4⋊C4C2×D7311yescharacteristic
377C22×C4⋊C4C2×D7311yescharacteristic
378#465—738no—
379C4×SD16—1464no—
380C2×#106—24no—
381C2×#106—731no—
382C2×#106C2×D7311yescharacteristic
383C2×#106C2×D7311yescharacteristic
384C2×#106C2×D7311yescharacteristic
385C2×#106C2×D7311yescharacteristic
386C2×#103—731no—
387C2×#103—731no—
388C2×#103—731no—
389C2×#102—731no—
390C2×#102—731no—
391C2×#102—731no—
392C2×C22⋊C8—731no—
393C2×C4×C8—731no—
394C2×C4×C8—731no—
395#391—731no—
396#390—731no—
397#389—731no—
398#389—731no—
399#389—1461no—
400#388—1461no—
401#387—1461no—
402#386—1461no—
403#385—1461no—
404#385—1461no—
405C4×C4⋊C4—731no—
406C4×C4⋊C4—731no—
407C4×C22⋊C4—731no—
408C4×C22⋊C4—1461no—
409#340—731no—
410#340—731no—
411#340—731no—
412#340—731no—
413#336—731no—
414#336—731no—
415C22×Q8—731no—
416C22×D4—731no—
417C22×D4—1461no—
418C23×C4—21no—
419C23×C4—21no—
420C23×C4—1461no—
421C23×C4C22×D7311yescharacteristic
422C2×SD16—734no—
423C2×SD16—1462no—
424C2×SD16—1462no—
425C22×C8—22no—
426C22×C8—22no—
427C22×C8—731no—
428C22×C8—731no—
429C22×C8C4×D7314yescomplemented
430C22×C8C22×D7311yescharacteristic
431C22×C8C22×D7311yescharacteristic
432C22⋊Q8—734no—
433C22⋊Q8—1462no—
434#121—734no—
435#121—1462no—
436C4×Q8—2921no—
437C4×Q8—1462no—
438C4×D4—2924no—
439C4×D4—2921no—
440C4×D4—1462no—
441C2×C4⋊C4—22no—
442C2×C4⋊C4—22no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—21no—
445C2×C4⋊C4—41no—
446C2×C4⋊C4—41no—
447C2×C4⋊C4—731no—
448C2×C4⋊C4—731no—
449C2×C4⋊C4—1461no—
450C2×C4⋊C4—1461no—
451C2×C4⋊C4—1461no—
452C2×C4⋊C4—1461no—
453C2×C4⋊C4C22×D7311yescharacteristic
454C2×C4⋊C4C22×D7311yescharacteristic
455C2×C4⋊C4C22×D7311yescharacteristic
456C2×C4⋊C4C22×D7311yescharacteristic
457C2×C22⋊C4—731no—
458C2×C22⋊C4—731no—
459C2×C22⋊C4—1461no—
460C2×C22⋊C4—1461no—
461C2×C22⋊C4—1461no—
462C2×C22⋊C4—1461no—
463C2×C22⋊C4—1461no—
464C2×C42—731no—
465C2×C42—731no—
466C2×C42—1461no—
467C2×C42—1461no—
468C2×C42—1461no—
469#106—22no—
470#106—22no—
471#106—22no—
472#106—734no—
473#106C22⋊D7314yescomplemented
474#103—2921no—
475#103—734no—
476#103—1462no—
477#102—2921no—
478#102—734no—
479#102—1462no—
480C22⋊C8—1462no—
481C4×C8—1462no—
482C4×C8—1462no—
483#95—731no—
484#95—731no—
485#95—1461no—
486#95—1461no—
487#95—1461no—
488#95—1461no—
489#95—1461no—
490#95—1461no—
491C24—1461no—
492C24D4×D7311yescharacteristic
493C2×Q8—732no—
494C2×Q8—1461no—
495C2×Q8—1461no—
496C2×Q8—1461no—
497C2×Q8—1461no—
498C2×Q8—1461no—
499C2×D4—2922no—
500C2×D4—2922no—
501C2×D4—732no—
502C2×D4—1464no—
503C2×D4—1461no—
504C2×D4—1461no—
505C2×D4—1461no—
506C2×D4—1461no—
507C2×D4—1461no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—81no—
521C22×C4—81no—
522C22×C4—2922no—
523C22×C4—2922no—
524C22×C4—5841no—
525C22×C4—731no—
526C22×C4—731no—
527C22×C4—731no—
528C22×C4—731no—
529C22×C4—1461no—
530C22×C4—1461no—
531C22×C4—1461no—
532C22×C4C2×C4×D7312yes—
533C22×C4D4×D7311yescharacteristic
534C22×C4#1192402912yes—
535C22×C4C23×D7311yescharacteristic
536SD16—1468no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—28no—
540C2×C8—1461no—
541C2×C8—1461no—
542C2×C8—1461no—
543C2×C8—1461no—
544C2×C8—1461no—
545C2×C8—1461no—
546C2×C8C2×C4×D7312yes—
547C2×C8C2×C4×D7312yes—
548C2×C8C2×C22⋊D7312yes—
549C2×C8#1192402812yes—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—42no—
557C4⋊C4—42no—
558C4⋊C4—2922no—
559C4⋊C4—2922no—
560C4⋊C4—5841no—
561C4⋊C4—732no—
562C4⋊C4—732no—
563C4⋊C4—1464no—
564C4⋊C4—1461no—
565C4⋊C4—1461no—
566C4⋊C4C2×C22⋊D7312yes—
567C4⋊C4C2×C22⋊D7312yes—
568C22⋊C4—2922no—
569C22⋊C4—2922no—
570C22⋊C4—5841no—
571C22⋊C4—734no—
572C22⋊C4—1464no—
573C22⋊C4—1462no—
574C22⋊C4—1464no—
575C42—2922no—
576C42—2922no—
577C42—5841no—
578C42—1461no—
579C42—1461no—
580C42—1461no—
581C42—1461no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—2921no—
587C23—2921no—
588C23—2921no—
589C23—2921no—
590C23—2921no—
591C23—2921no—
592C23—1462no—
593C23#1455655312yes—
594C23SD16×D7312yes—
595C23#1455661212yes—
596C23C2×D4×D7311yescharacteristic
597Q8—2921no—
598Q8—2921no—
599Q8—1462no—
600Q8—1462no—
601D4—2928no—
602D4—2921no—
603D4—2921no—
604D4—1462no—
605D4—1462no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—84no—
625C2×C4—84no—
626C2×C4—2921no—
627C2×C4—2921no—
628C2×C4—2921no—
629C2×C4—2921no—
630C2×C4—2921no—
631C2×C4—2921no—
632C2×C4—5844no—
633C2×C4—732no—
634C2×C4—732no—
635C2×C4—1461no—
636C2×C4—1461no—
637C2×C4—1461no—
638C2×C4—1461no—
639C2×C4—1462no—
640C2×C4—1462no—
641C2×C4—1462no—
642C2×C4—1461no—
643C2×C4—1461no—
644C2×C4—1461no—
645C2×C4—1461no—
646C2×C4—1461no—
647C2×C4—1461no—
648C2×C4#1455655312yes—
649C2×C4C22×C4×D7311yescharacteristic
650C2×C4C22×C22⋊D7311yescharacteristic
651C2×C4C2×#1192402811yescharacteristic
652C2×C4C2×#1192402911yescharacteristic
653C2×C4#1455663611yescharacteristic
654C2×C4#1455663911yescharacteristic
655C8—22no—
656C8—2921no—
657C8—2921no—
658C8C4×C22⋊D7314yescomplemented
659C22—22no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—2922no—
666C22—2922no—
667C22—2922no—
668C22—5841no—
669C22—5841no—
670C22—5841no—
671C22—5841no—
672C22#1798867414yescomplemented
673C22C2×#1455655311yescharacteristic
674C22D4×C22⋊D7311yescharacteristic
675C22#1798923811yescharacteristic
676C22C2×SD16×D7311yescharacteristic
677C22C2×#1455661211yescharacteristic
678C22#1798939311yescharacteristic
679C22#1798939311yescharacteristic
680C4—22no—
681C4—42no—
682C4—42no—
683C4—81no—
684C4—81no—
685C4—2922no—
686C4—2921no—
687C4—2922no—
688C4—2921no—
689C4—2922no—
690C4—1462no—
691C4—1462no—
692C4C2×C4×C22⋊D7311yescharacteristic
693C4#1798906811yescharacteristic
694C4#1798924811yescharacteristic
695C4#1798928511yescharacteristic
696C2—24no—
697C2—5842no—
698C2#2261294711yescharacteristic
699C2C2×#1798867411yescharacteristic
700C2#2261881411yescharacteristic
701C2SD16×C22⋊D7311yescharacteristic
702C2#2262163811yescharacteristic
703C2#2262228411yescharacteristic
704C2#2262230611yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutatorC2×C4×C73C23×C4
FrattiniC22×C4C23×D73
FittingC22×#106×C73C2
socleC23×C73C22×D4
prime radicalC2×#14556565C22
cosocleC22×C4×C73C24
hypercenterC22×#106D73
hypocenterC73#23022
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×#106

Complements

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

NH ≅ G/Ntype
2. C2×#17988674C2semidirect
4. #22612936C2semidirect
5. #22610783C2semidirect
6. #22610657C2semidirect
7. #22610564C2semidirect
8. #22610557C2semidirect
10. #22610238C2semidirect
11. #22610196C2semidirect
12. #22610189C2semidirect
13. #106×Dic73C2semidirect
14. C8×C22⋊Dic73C2semidirect
15. C22×#106×C73C2semidirect
22. #17988816C4semidirect
68. C2×#11924017C2×C4semidirect
72. #14556570C2×C4semidirect
98. #14556523C2×C4semidirect
99. #14556516C2×C4semidirect
102. #14556513C2×C4semidirect
121. C22×C8×C73C2×C4semidirect
137. #106×C73D4semidirect
181. C22⋊Dic73SD16semidirect
303. C8×C73C4×D4semidirect
312. C22×C73C4×SD16semidirect
355. C22×#106D73semidirect
368. C73#23022semidirect
429. C22×C8C4×D73semidirect
473. #106C22⋊D73semidirect
658. C8C4×C22⋊D73semidirect
672. C22#17988674semidirect

Maximal subgroups

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

subgroupindex
C2×#179888162
C2×#179886742
#226129472
#226129362
#226107832
#226106572
#226105642
#226105572
#226102482
#226102382
#226101962
#226101892
#106×Dic732
C8×C22⋊Dic732
C22×#106×C732
#2302273