Finite Group Databasebeta

← #33095960

Subgroups — #33095960

Order 18688.

1078 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989208C211yesmaximal, characteristic
2#22612540C211yesmaximal, characteristic, complemented
3#22610882C211yesmaximal, characteristic, complemented
4#22610878C211yesmaximal, characteristic, complemented
5#22610861C211yesmaximal, characteristic, complemented
6#22610861C211yesmaximal, characteristic, complemented
7#22610369C211yesmaximal, characteristic
8#22610364C211yesmaximal, characteristic, complemented
9#22610359C211yesmaximal, characteristic
10#22610354C211yesmaximal, characteristic, complemented
11#22609947C211yesmaximal, characteristic, complemented
12#22609942C211yesmaximal, characteristic, complemented
13#22609937C211yesmaximal, characteristic, complemented
14#22609932C211yesmaximal, characteristic, complemented
15C2×#424×C73C211yesmaximal, characteristic, complemented
16#17989208—24no—
17#17989208C418yescomplemented
18C2×#14556591C2211yescharacteristic
19C2×#14556586—21no—
20C2×#14556579C2211yescharacteristic
21C2×#14556577—21no—
22C2×#14556573—21no—
23C2×#14556570C2211yescharacteristic
24C2×#14556569—21no—
25C2×#14556565C2211yescharacteristic
26C2×C4×Dic146C2211yescharacteristic
27C2×C4×D292C2211yescharacteristic
28C2×#14556516C2211yescharacteristic
29C2×#14556516C2211yescharacteristic
30C2×#14556516C2211yescharacteristic
31C2×#14556516C2211yescharacteristic
32C2×#14556513C2211yescharacteristic
33C2×#14556513C2211yescharacteristic
34C2×#14556513C2211yescharacteristic
35C2×#14556513C2211yescharacteristic
36#17988480—21no—
37#17988480—21no—
38#17988473—21no—
39#17988473—21no—
40#17988457C2211yescharacteristic
41#17988453C2211yescharacteristic
42#17988447C2211yescharacteristic
43#17988447C2211yescharacteristic
44C4×C4⋊Dic73C2211yescharacteristic
45C4×C4⋊Dic73C2211yescharacteristic
46#17988350C2211yescharacteristic
47#17988350C2211yescharacteristic
48#17988350C2211yescharacteristic
49#17988350C2211yescharacteristic
50#17988350C2211yescharacteristic
51#17988350C2211yescharacteristic
52#17988350C2211yescharacteristic
53#17988350C2211yescharacteristic
54C22×M16×C73C2211yescharacteristic
55C23×C8×C73C2211yescharacteristic
56C2×#117×C73C2211yescharacteristic
57#424×C73—24no—
58C2×C4⋊C8×C73C2211yescharacteristic
59C2×C4⋊C8×C73C2211yescharacteristic
60C2×C4⋊C8×C73C2211yescharacteristic
61C2×C4⋊C8×C73C2211yescharacteristic
62C22×Dic146—21no—
63C22×Dic146C2311yescharacteristic
64C22×D292C2311yescharacteristic
65C22×C22⋊D73—21no—
66C22×C4×D73—21no—
67#14556591—22no—
68#14556591C2×C414yes—
69#14556586—28no—
70#14556579—22no—
71#14556579C2×C414yes—
72#14556577—28no—
73#14556573—28no—
74#14556570—22no—
75#14556570C2×C414yes—
76#14556569—28no—
77#14556565—22no—
78#14556565C2×C414yes—
79C4×Dic146—22no—
80C4×Dic146C2×C414yes—
81C4×D292—22no—
82C4×D292C2×C414yes—
83C2×C4⋊Dic73—21no—
84C2×C4⋊Dic73—21no—
85C2×C4⋊Dic73—21no—
86C2×C4⋊Dic73C2311yescharacteristic
87C2×C4⋊Dic73C2311yescharacteristic
88C2×C4⋊Dic73C2311yescharacteristic
89C2×C4⋊Dic73C2311yescharacteristic
90C2×C4⋊Dic73C2311yescharacteristic
91C2×C4⋊Dic73C2311yescharacteristic
92C2×#11924007—21no—
93C2×#11924007—21no—
94C2×C22⋊Dic73—21no—
95C2×C22⋊Dic73—21no—
96C2×C22⋊Dic73—21no—
97C2×#11924005—21no—
98C2×#11924005—21no—
99C2×#11924005—21no—
100C2×#11924005—21no—
101C2×C4×Dic73—21no—
102C2×C4×Dic73—21no—
103C2×C4×Dic73—21no—
104#14556516—41no—
105#14556516—41no—
106#14556516—41no—
107#14556516—41no—
108#14556513—41no—
109#14556513—41no—
110#14556513—41no—
111#14556513—41no—
112#14556498—21no—
113#14556498—21no—
114#14556498—21no—
115#14556498—21no—
116#14556498—21no—
117#14556498—21no—
118C23×C4×C73C2311yescharacteristic
119C2×M16×C73—22no—
120C2×M16×C73—41no—
121C2×M16×C73—41no—
122C22×C8×C73—22no—
123C22×C8×C73—41no—
124C22×C8×C73—41no—
125C22×C8×C73C2311yescharacteristic
126C22×C8×C73C2311yescharacteristic
127C22×C8×C73C2311yescharacteristic
128C22×C8×C73C2311yescharacteristic
129#117×C73C2×C414yes—
130#117×C73D414yes—
131C2×C4⋊C4×C73D411yescharacteristic
132C2×C4⋊C4×C73D411yescharacteristic
133C2×C22⋊C4×C73D411yescharacteristic
134C2×C22⋊C4×C73D411yescharacteristic
135C2×C42×C73C2311yescharacteristic
136C2×C42×C73C2311yescharacteristic
137C4⋊C8×C73—22no—
138C4⋊C8×C73—22no—
139C4⋊C8×C73—22no—
140C4⋊C8×C73—22no—
141C23×D73—21no—
142C2×Dic146—21no—
143C2×Dic146—21no—
144C2×Dic146—21no—
145C2×Dic146—21no—
146C2×Dic146—21no—
147C2×Dic146—24no—
148C2×Dic146—81no—
149C2×Dic146—81no—
150C2×Dic146C22×C412yes—
151C2×D292—21no—
152C2×D292—21no—
153C2×D292—21no—
154C2×D292—21no—
155C2×D292—21no—
156C2×D292C22×C412yes—
157C2×C22⋊D73—24no—
158C2×C22⋊D73—81no—
159C2×C22⋊D73—81no—
160C22×Dic73—21no—
161C22×Dic73—21no—
162C22×Dic73—21no—
163C22×Dic73—21no—
164C22×Dic73—21no—
165C22×Dic73—21no—
166C22×Dic73—21no—
167C2×C4×D73—24no—
168C2×C4×D73—81no—
169C2×C4×D73—81no—
170C4⋊Dic73—24no—
171C4⋊Dic73—21no—
172C4⋊Dic73—21no—
173C4⋊Dic73—21no—
174C4⋊Dic73—21no—
175C4⋊Dic73—21no—
176C4⋊Dic73—21no—
177C4⋊Dic73—21no—
178C4⋊Dic73—21no—
179C4⋊Dic73—21no—
180C4⋊Dic73—21no—
181C4⋊Dic73—81no—
182C4⋊Dic73—81no—
183C4⋊Dic73C22×C412yes—
184C4⋊Dic73C22×C412yes—
185#11924007—24no—
186#11924007—24no—
187C22⋊Dic73—24no—
188C22⋊Dic73—81no—
189C22⋊Dic73—81no—
190#11924005—24no—
191#11924005—24no—
192#11924005—24no—
193#11924005—24no—
194C4×Dic73—24no—
195C4×Dic73—81no—
196C4×Dic73—81no—
197C24×C73C2×D411yescharacteristic
198C22×C4×C73—21no—
199C22×C4×C73—21no—
200C22×C4×C73—21no—
201C22×C4×C73—21no—
202C22×C4×C73C22×C412yes—
203C22×C4×C73C2×D412yes—
204C22×C4×C73C2×D411yescharacteristic
205C22×C4×C73C2×D411yescharacteristic
206C22×C4×C73C2×D411yescharacteristic
207C22×C4×C73C2×D411yescharacteristic
208C22×C4×C73C2×D411yescharacteristic
209C22×C4×C73C2411yescharacteristic
210M16×C73—44no—
211C2×C8×C73—21no—
212C2×C8×C73—21no—
213C2×C8×C73—21no—
214C2×C8×C73—21no—
215C2×C8×C73—21no—
216C2×C8×C73—21no—
217C2×C8×C73—21no—
218C2×C8×C73—21no—
219C2×C8×C73—21no—
220C2×C8×C73—21no—
221C2×C8×C73—21no—
222C2×C8×C73—21no—
223C2×C8×C73—44no—
224C4⋊C4×C73C22⋊C414yes—
225C4⋊C4×C73C22⋊C414yes—
226C22⋊C4×C73C22⋊C414yes—
227C22⋊C4×C73C22⋊C414yes—
228C42×C73C22×C412yes—
229C42×C73C22×C412yes—
230C42×C73C2×D412yes—
231C42×C73C2×D412yes—
232C23×C73—21no—
233C23×C73—21no—
234C23×C73—21no—
235C23×C73—21no—
236C23×C73—21no—
237C23×C73—21no—
238C23×C73C2×C22⋊C412yes—
239C23×C73C22×D411yescharacteristic
240C22×D73—22no—
241C22×D73—41no—
242C22×D73—41no—
243C22×D73—41no—
244C22×D73—41no—
245C22×D73—41no—
246C22×D73—41no—
247C2×C4×C73—21no—
248C2×C4×C73—21no—
249C2×C4×C73—21no—
250C2×C4×C73—21no—
251C2×C4×C73—21no—
252C2×C4×C73—21no—
253C2×C4×C73—21no—
254C2×C4×C73—21no—
255C2×C4×C73—21no—
256C2×C4×C73—21no—
257C2×C4×C73—22no—
258C2×C4×C73—22no—
259C2×C4×C73—22no—
260C2×C4×C73—22no—
261C2×C4×C73C2×C22⋊C412yes—
262C2×C4×C73C2×C22⋊C412yes—
263C2×C4×C73C2×C22⋊C412yes—
264C2×C4×C73C2×C22⋊C412yes—
265C2×C4×C73C2×C22⋊C412yes—
266C2×C4×C73C23×C411yescharacteristic
267C2×C4×C73C22×D411yescharacteristic
268C2×C4×C73H(5,𝔽2)11yescharacteristic
269C2×C4×C73H(5,𝔽2)11yescharacteristic
270C2×C4×C732−1+411yescharacteristic
271C2×C4×C732−1+411yescharacteristic
272C22⋊D73—84no—
273C2×Dic73—22no—
274C2×Dic73—22no—
275C2×Dic73—22no—
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—41no—
285C2×Dic73—41no—
286C2×Dic73—41no—
287C2×Dic73—41no—
288C2×Dic73—41no—
289C2×Dic73—41no—
290C2×Dic73—41no—
291C2×Dic73—41no—
292C2×Dic73—41no—
293C2×Dic73—41no—
294D292—22no—
295D292—22no—
296D292—41no—
297D292—41no—
298C4×D73—84no—
299Dic146—22no—
300Dic146—22no—
301Dic146—41no—
302Dic146—41no—
303Dic146—84no—
304C8×C73—41no—
305C8×C73—41no—
306C8×C73—41no—
307C8×C73—41no—
308C22×C73—22no—
309C22×C73—22no—
310C22×C73—22no—
311C22×C73—41no—
312C22×C73—41no—
313C22×C73—41no—
314C22×C73—41no—
315C22×C73C22×C22⋊C411yescharacteristic
316C22×C73#53711yescharacteristic
317C22×C73#53711yescharacteristic
318C22×C73#57611yescharacteristic
319C22×C73#57711yescharacteristic
320C22×C73#57711yescharacteristic
321C22×C73#57811yescharacteristic
322C2×D73—42no—
323C2×D73—42no—
324C2×D73—42no—
325C2×D73—81no—
326C2×D73—81no—
327C2×D73—81no—
328C2×D73—81no—
329C4×C73—22no—
330C4×C73—22no—
331C4×C73—22no—
332C4×C73—22no—
333C4×C73—22no—
334C4×C73#52011yescharacteristic
335C4×C73#52011yescharacteristic
336C4×C73#53511yescharacteristic
337C4×C73#53611yescharacteristic
338Dic73—42no—
339Dic73—42no—
340Dic73—42no—
341Dic73—81no—
342Dic73—81no—
343Dic73—81no—
344Dic73—81no—
345#21896—731nomaximal, Sylow
346C2×C73—42no—
347C2×C73#231111yescharacteristic
348C2×C73#289711yescharacteristic
349C2×C73#289811yescharacteristic
350C2×C73#325711yescharacteristic
351C2×C73#325811yescharacteristic
352C2×C73#326211yescharacteristic
353C2×C73#326311yescharacteristic
354D73—82no—
355C2×#542—731no—
356C2×#424D7311yescharacteristic, complemented
357#2314—731no—
358#1988—731no—
359#1987—731no—
360#1983—731no—
361#1983—731no—
362#1895—731no—
363#1894—731no—
364#1893—731no—
365#1892—731no—
366#1805—731no—
367#1804—731no—
368#1803—731no—
369#1802—731no—
370C73#2189611yescharacteristic, complemented, Sylow
371C22×M16C2×D7311yescharacteristic
372C23×C8C2×D7311yescharacteristic
373#542—738no—
374#542—1464no—
375C2×C4⋊Q8—731no—
376C2×#126—1461no—
377C2×#124—731no—
378C2×#124—1461no—
379C2×#123—1461no—
380C2×C22⋊Q8—731no—
381C2×C22⋊Q8—1461no—
382C2×#121—731no—
383C2×C4×Q8—731no—
384C2×C4×D4—731no—
385C2×#117C2×D7311yescharacteristic
386#424—24no—
387C2×C4⋊C8C2×D7311yescharacteristic
388C2×C4⋊C8C2×D7311yescharacteristic
389C2×C4⋊C8C2×D7311yescharacteristic
390C2×C4⋊C8C2×D7311yescharacteristic
391C2×#103—731no—
392C2×#103—731no—
393C2×#103—731no—
394C2×#103—731no—
395C2×#102—731no—
396C2×#102—731no—
397C2×#102—731no—
398C2×#102—731no—
399#388—1461no—
400#388—1461no—
401#387—1461no—
402#387—1461no—
403#384—731no—
404#382—731no—
405#380—731no—
406#380—731no—
407C4×C4⋊C4—731no—
408C4×C4⋊C4—731no—
409#340—731no—
410#340—731no—
411#340—731no—
412#340—731no—
413#340—731no—
414#340—731no—
415#340—731no—
416#340—731no—
417C22×Q8—731no—
418C22×Q8—1461no—
419C22×D4—731no—
420C22×D4—1461no—
421C23×C4—1461no—
422C23×C4C22×D7311yescharacteristic
423C2×M16—22no—
424C2×M16—41no—
425C2×M16—41no—
426C22×C8—22no—
427C22×C8—41no—
428C22×C8—41no—
429C22×C8C22×D7311yescharacteristic
430C22×C8C22×D7311yescharacteristic
431C22×C8C22×D7311yescharacteristic
432C22×C8C22×D7311yescharacteristic
433C4⋊Q8—734no—
434C4⋊Q8—1462no—
435#126—1468no—
436#124—734no—
437#124—1468no—
438#124—1462no—
439#123—1468no—
440C22⋊Q8—734no—
441C22⋊Q8—1462no—
442C22⋊Q8—1468no—
443#121—734no—
444#121—1462no—
445C4×Q8—734no—
446C4×Q8—1462no—
447C4×D4—734no—
448C4×D4—1462no—
449#117C4×D7314yes—
450#117C22⋊D7314yes—
451C2×C4⋊C4—731no—
452C2×C4⋊C4—731no—
453C2×C4⋊C4—731no—
454C2×C4⋊C4—731no—
455C2×C4⋊C4—731no—
456C2×C4⋊C4—731no—
457C2×C4⋊C4—1461no—
458C2×C4⋊C4—1461no—
459C2×C4⋊C4—1461no—
460C2×C4⋊C4—1461no—
461C2×C4⋊C4—1461no—
462C2×C4⋊C4D29211yescharacteristic
463C2×C4⋊C4D29211yescharacteristic
464C2×C22⋊C4—1461no—
465C2×C22⋊C4—1461no—
466C2×C22⋊C4—1461no—
467C2×C22⋊C4—1461no—
468C2×C22⋊C4—1461no—
469C2×C22⋊C4—1461no—
470C2×C22⋊C4—1461no—
471C2×C22⋊C4D29211yescharacteristic
472C2×C22⋊C4D29211yescharacteristic
473C2×C42—1461no—
474C2×C42—1461no—
475C2×C42—1461no—
476C2×C42C22×D7311yescharacteristic
477C2×C42C22×D7311yescharacteristic
478C4⋊C8—22no—
479C4⋊C8—22no—
480C4⋊C8—22no—
481C4⋊C8—22no—
482#103—2921no—
483#103—2921no—
484#103—2921no—
485#103—2921no—
486#102—2921no—
487#102—2921no—
488#102—2921no—
489#102—2921no—
490#95—1461no—
491#95—1461no—
492#95—1461no—
493#95—1461no—
494#95—1461no—
495#95—1461no—
496C24—1461no—
497C24C2×D29211yescharacteristic
498C2×Q8—5841no—
499C2×Q8—5841no—
500C2×Q8—732no—
501C2×Q8—1461no—
502C2×Q8—1461no—
503C2×Q8—1461no—
504C2×Q8—1461no—
505C2×Q8—1464no—
506C2×Q8—1461no—
507C2×D4—5841no—
508C2×D4—5841no—
509C2×D4—732no—
510C2×D4—1464no—
511C2×D4—1461no—
512C2×D4—1461no—
513C2×D4—1461no—
514C2×D4—1461no—
515C2×D4—1461no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—5841no—
521C22×C4—5841no—
522C22×C4—1461no—
523C22×C4—1461no—
524C22×C4—1461no—
525C22×C4—1461no—
526C22×C4—1461no—
527C22×C4—1461no—
528C22×C4—1461no—
529C22×C4—1464no—
530C22×C4C2×C4×D7312yes—
531C22×C4C2×C22⋊D7312yes—
532C22×C4C2×D29211yescharacteristic
533C22×C4C2×D29211yescharacteristic
534C22×C4C2×D29211yescharacteristic
535C22×C4C2×D29211yescharacteristic
536C22×C4C2×D29211yescharacteristic
537C22×C4C23×D7311yescharacteristic
538M16—44no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—44no—
552C4⋊C4—5841no—
553C4⋊C4—5841no—
554C4⋊C4—732no—
555C4⋊C4—732no—
556C4⋊C4—1461no—
557C4⋊C4—1461no—
558C4⋊C4—1461no—
559C4⋊C4—1461no—
560C4⋊C4—1461no—
561C4⋊C4—1461no—
562C4⋊C4—1461no—
563C4⋊C4—1461no—
564C4⋊C4—1464no—
565C4⋊C4—1464no—
566C4⋊C4—1464no—
567C4⋊C4—1461no—
568C4⋊C4—1461no—
569C4⋊C4#1192400514yes—
570C4⋊C4#1192400514yes—
571C22⋊C4—5841no—
572C22⋊C4—5841no—
573C22⋊C4—1464no—
574C22⋊C4—1464no—
575C22⋊C4—1464no—
576C22⋊C4—1464no—
577C22⋊C4—1464no—
578C22⋊C4#1192400514yes—
579C22⋊C4#1192400514yes—
580C42—5841no—
581C42—5841no—
582C42—1464no—
583C42C2×C4×D7312yes—
584C42C2×C4×D7312yes—
585C42C2×C22⋊D7312yes—
586C42C2×C22⋊D7312yes—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—2921no—
594C23—2921no—
595C23—2921no—
596C23—2921no—
597C23—2921no—
598C23—2921no—
599C23—1462no—
600C23C2×#1192400512yes—
601C23C22×D29211yescharacteristic
602Q8—2921no—
603Q8—2921no—
604Q8—5844no—
605Q8—1462no—
606Q8—1462no—
607D4—2921no—
608D4—2921no—
609D4—5844no—
610D4—1462no—
611D4—1462no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—2921no—
627C2×C4—2921no—
628C2×C4—2921no—
629C2×C4—2921no—
630C2×C4—2921no—
631C2×C4—2921no—
632C2×C4—2921no—
633C2×C4—2921no—
634C2×C4—2921no—
635C2×C4—2921no—
636C2×C4—2921no—
637C2×C4—2921no—
638C2×C4—2921no—
639C2×C4—2921no—
640C2×C4—2921no—
641C2×C4—2921no—
642C2×C4—2921no—
643C2×C4—2921no—
644C2×C4—5844no—
645C2×C4—1462no—
646C2×C4—1462no—
647C2×C4—1462no—
648C2×C4C2×#1192400512yes—
649C2×C4C2×#1192400512yes—
650C2×C4C2×#1192400512yes—
651C2×C4C2×#1192400512yes—
652C2×C4C2×#1192400512yes—
653C2×C4C22×C4×D7311yescharacteristic
654C2×C4C22×C22⋊D7311yescharacteristic
655C2×C4#1455663611yescharacteristic
656C2×C4#1455663611yescharacteristic
657C2×C4#1455663911yescharacteristic
658C2×C4#1455663911yescharacteristic
659C8—41no—
660C8—41no—
661C8—41no—
662C8—41no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—2922no—
671C22—2922no—
672C22—2922no—
673C22—5841no—
674C22—5841no—
675C22—5841no—
676C22—5841no—
677C22C22×#1192400511yescharacteristic
678C22#1798916811yescharacteristic
679C22#1798916811yescharacteristic
680C22#1798939211yescharacteristic
681C22#1798939911yescharacteristic
682C22#1798939911yescharacteristic
683C22#1798940411yescharacteristic
684C4—22no—
685C4—22no—
686C4—22no—
687C4—22no—
688C4—22no—
689C4—2922no—
690C4—2922no—
691C4—2922no—
692C4—5841no—
693C4—5841no—
694C4—5841no—
695C4—5841no—
696C4#1798906811yescharacteristic
697C4#1798906811yescharacteristic
698C4#1798915411yescharacteristic
699C4#1798916111yescharacteristic
700C2—42no—
701C2—5842no—
702C2#2261252411yescharacteristic
703C2#2261845811yescharacteristic
704C2#2261846511yescharacteristic
705C2#2262134411yescharacteristic
706C2#2262135911yescharacteristic
707C2#2262139211yescharacteristic
708C2#2262140211yescharacteristic
subgroupG/H
centerC23C22×D292
commutatorC2×C4×C73C23×C4
FrattiniC22×C4C23×D73
FittingC2×#424×C73C2
socleC23×C73C22×D4
prime radicalC2×#14556565C22
cosocleC22×C4×C73C24
hypercenterC2×#424D73
hypocenterC73#21896
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#424

Complements

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

NH ≅ G/Ntype
2. #22612540C2semidirect
3. #22610882C2semidirect
4. #22610878C2semidirect
5. #22610861C2semidirect
6. #22610861C2semidirect
8. #22610364C2semidirect
10. #22610354C2semidirect
11. #22609947C2semidirect
12. #22609942C2semidirect
13. #22609937C2semidirect
14. #22609932C2semidirect
15. C2×#424×C73C2semidirect
17. #17989208C4semidirect
356. C2×#424D73semidirect
370. C73#21896semidirect

Maximal subgroups

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

subgroupindex
C2×#179892082
#226125402
#226108822
#226108782
#226108612
#226103692
#226103642
#226103592
#226103542
#226099472
#226099422
#226099372
#226099322
C2×#424×C732
#2189673