Finite Group Databasebeta

← #33095952

Subgroups — #33095952

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
2C2×#17988614C211yesmaximal, characteristic, complemented
3#22610883C211yesmaximal, characteristic, complemented
4#22610879C211yesmaximal, characteristic, complemented
5#22610863C211yesmaximal, characteristic, complemented
6#22610863C211yesmaximal, characteristic, complemented
7#22610367C211yesmaximal, characteristic
8#22610362C211yesmaximal, characteristic, complemented
9#22610357C211yesmaximal, characteristic
10#22610352C211yesmaximal, characteristic, complemented
11#22609943C211yesmaximal, characteristic, complemented
12#22609938C211yesmaximal, characteristic, complemented
13#22609933C211yesmaximal, characteristic, complemented
14#22609928C211yesmaximal, characteristic, complemented
15C73×#2314C211yesmaximal, characteristic, complemented
16C22×#11924012C2211yescharacteristic
17C23×#10596831C2211yescharacteristic
18#17989208—24no—
19#17989208C418yescomplemented
20C2×#14556591C2211yescharacteristic
21C2×#14556586—21no—
22C2×#14556579C2211yescharacteristic
23C2×#14556577—21no—
24C2×#14556573—21no—
25C2×#14556570C2211yescharacteristic
26C2×#14556569—21no—
27C2×#14556565C2211yescharacteristic
28C2×C4×Dic146C2211yescharacteristic
29C2×C4×D292C2211yescharacteristic
30#17988614—24no—
31C2×C4⋊#10596831C2211yescharacteristic
32C2×C4⋊#10596831C2211yescharacteristic
33C2×C4⋊#10596831C2211yescharacteristic
34C2×C4⋊#10596831C2211yescharacteristic
35C2×#14556514C2211yescharacteristic
36C2×#14556514C2211yescharacteristic
37C2×#14556514C2211yescharacteristic
38C2×#14556514C2211yescharacteristic
39C2×#14556511C2211yescharacteristic
40C2×#14556511C2211yescharacteristic
41C2×#14556511C2211yescharacteristic
42C2×#14556511C2211yescharacteristic
43#17988349C2211yescharacteristic
44#17988349C2211yescharacteristic
45#17988349C2211yescharacteristic
46#17988349C2211yescharacteristic
47#17988349C2211yescharacteristic
48#17988349C2211yescharacteristic
49#17988349C2211yescharacteristic
50#17988349C2211yescharacteristic
51C2×#117×C73C2211yescharacteristic
52#388×C73—21no—
53#388×C73—21no—
54#387×C73—21no—
55#387×C73—21no—
56#384×C73C2211yescharacteristic
57#382×C73C2211yescharacteristic
58#380×C73C2211yescharacteristic
59#380×C73C2211yescharacteristic
60C4×C4⋊C4×C73C2211yescharacteristic
61C4×C4⋊C4×C73C2211yescharacteristic
62C22×Dic146—21no—
63C22×Dic146C2311yescharacteristic
64C22×D292C2311yescharacteristic
65C22×C22⋊D73—21no—
66C22×C4×D73—21no—
67C2×#11924012—22no—
68C2×#11924012—41no—
69C2×#11924012—41no—
70C22×#10596831—22no—
71C22×#10596831—41no—
72C22×#10596831—41no—
73C22×#10596831C2311yescharacteristic
74C22×#10596831C2311yescharacteristic
75C22×#10596831C2311yescharacteristic
76C22×#10596831C2311yescharacteristic
77#14556591—22no—
78#14556591C2×C414yes—
79#14556586—28no—
80#14556579—22no—
81#14556579C2×C414yes—
82#14556577—28no—
83#14556573—28no—
84#14556570—22no—
85#14556570C2×C414yes—
86#14556569—28no—
87#14556565—22no—
88#14556565C2×C414yes—
89C4×Dic146—22no—
90C4×Dic146C2×C414yes—
91C4×D292—22no—
92C4×D292C2×C414yes—
93C2×C4⋊Dic73—21no—
94C2×C4⋊Dic73C2311yescharacteristic
95C2×C4⋊Dic73C2311yescharacteristic
96C2×#11924007—21no—
97C2×#11924007—21no—
98C2×C22⋊Dic73—21no—
99C2×#11924005—21no—
100C2×#11924005—21no—
101C2×#11924005—21no—
102C2×#11924005—21no—
103C2×C4×Dic73—21no—
104C4⋊#10596831—22no—
105C4⋊#10596831—22no—
106C4⋊#10596831—22no—
107C4⋊#10596831—22no—
108#14556514—41no—
109#14556514—41no—
110#14556514—41no—
111#14556514—41no—
112#14556511—41no—
113#14556511—41no—
114#14556511—41no—
115#14556511—41no—
116C23×C4×C73C2311yescharacteristic
117#117×C73C2×C414yes—
118#117×C73D414yes—
119C2×C4⋊C4×C73—21no—
120C2×C4⋊C4×C73—21no—
121C2×C4⋊C4×C73D411yescharacteristic
122C2×C4⋊C4×C73D411yescharacteristic
123C2×C4⋊C4×C73C2311yescharacteristic
124C2×C4⋊C4×C73C2311yescharacteristic
125C2×C4⋊C4×C73C2311yescharacteristic
126C2×C4⋊C4×C73C2311yescharacteristic
127C2×C22⋊C4×C73—21no—
128C2×C22⋊C4×C73—21no—
129C2×C22⋊C4×C73D411yescharacteristic
130C2×C22⋊C4×C73D411yescharacteristic
131C2×C42×C73—21no—
132C2×C42×C73—21no—
133C2×C42×C73C2311yescharacteristic
134C2×C42×C73C2311yescharacteristic
135#95×C73—21no—
136#95×C73—21no—
137#95×C73—21no—
138#95×C73—21no—
139#95×C73—21no—
140#95×C73—21no—
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—
163C2×C4×D73—24no—
164C2×C4×D73—81no—
165C2×C4×D73—81no—
166#11924012—44no—
167C2×#10596831—21no—
168C2×#10596831—21no—
169C2×#10596831—21no—
170C2×#10596831—21no—
171C2×#10596831—21no—
172C2×#10596831—21no—
173C2×#10596831—21no—
174C2×#10596831—21no—
175C2×#10596831—21no—
176C2×#10596831—21no—
177C2×#10596831—21no—
178C2×#10596831—21no—
179C2×#10596831—44no—
180C4⋊Dic73—24no—
181C4⋊Dic73—21no—
182C4⋊Dic73—21no—
183C4⋊Dic73C22×C412yes—
184C4⋊Dic73C22×C412yes—
185#11924007—24no—
186#11924007—24no—
187C22⋊Dic73—24no—
188#11924005—24no—
189#11924005—24no—
190#11924005—24no—
191#11924005—24no—
192C4×Dic73—24no—
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×C73C22×C412yes—
203C22×C4×C73C2×D411yescharacteristic
204C22×C4×C73C2×D411yescharacteristic
205C22×C4×C73C2×D411yescharacteristic
206C22×C4×C73C2×D411yescharacteristic
207C22×C4×C73C2×D411yescharacteristic
208C22×C4×C73C2×D412yes—
209C22×C4×C73C2411yescharacteristic
210C4⋊C4×C73—21no—
211C4⋊C4×C73—21no—
212C4⋊C4×C73—21no—
213C4⋊C4×C73—21no—
214C4⋊C4×C73—21no—
215C4⋊C4×C73—21no—
216C4⋊C4×C73—21no—
217C4⋊C4×C73—21no—
218C4⋊C4×C73—81no—
219C4⋊C4×C73—81no—
220C4⋊C4×C73C22⋊C414yes—
221C4⋊C4×C73C22⋊C414yes—
222C22⋊C4×C73—81no—
223C22⋊C4×C73—81no—
224C22⋊C4×C73C22⋊C414yes—
225C22⋊C4×C73C22⋊C414yes—
226C42×C73—81no—
227C42×C73—81no—
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×C73—41no—
262C2×C4×C73—41no—
263C2×C4×C73—41no—
264C2×C4×C73—41no—
265C2×C4×C73—41no—
266C2×C4×C73—41no—
267C2×C4×C73—41no—
268C2×C4×C73—41no—
269C2×C4×C73—41no—
270C2×C4×C73—41no—
271C2×C4×C73—41no—
272C2×C4×C73—41no—
273C2×C4×C73C2×C22⋊C412yes—
274C2×C4×C73C2×C22⋊C412yes—
275C2×C4×C73C2×C22⋊C412yes—
276C2×C4×C73C2×C22⋊C412yes—
277C2×C4×C73C2×C22⋊C412yes—
278C2×C4×C73C23×C411yescharacteristic
279C2×C4×C73C22×D411yescharacteristic
280C2×C4×C73H(5,𝔽2)11yescharacteristic
281C2×C4×C73H(5,𝔽2)11yescharacteristic
282C2×C4×C732−1+411yescharacteristic
283C2×C4×C732−1+411yescharacteristic
284C22⋊D73—84no—
285C2×Dic73—22no—
286C2×Dic73—22no—
287C2×Dic73—22no—
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—
304#10596831—41no—
305#10596831—41no—
306#10596831—41no—
307#10596831—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—81no—
335C4×C73—81no—
336C4×C73—81no—
337C4×C73—81no—
338C4×C73#52011yescharacteristic
339C4×C73#52011yescharacteristic
340C4×C73#53511yescharacteristic
341C4×C73#53611yescharacteristic
342Dic73—42no—
343Dic73—42no—
344Dic73—42no—
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×#424—731no—
357#2314D7311yescharacteristic, complemented
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×M16—731no—
372C23×C8—731no—
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—1464no—
387C2×C4⋊C8—731no—
388C2×C4⋊C8—731no—
389C2×C4⋊C8—731no—
390C2×C4⋊C8—731no—
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—21no—
400#388—21no—
401#387—21no—
402#387—21no—
403#384C2×D7311yescharacteristic
404#382C2×D7311yescharacteristic
405#380C2×D7311yescharacteristic
406#380C2×D7311yescharacteristic
407C4×C4⋊C4C2×D7311yescharacteristic
408C4×C4⋊C4C2×D7311yescharacteristic
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—2921no—
424C2×M16—2921no—
425C2×M16—1462no—
426C22×C8—2921no—
427C22×C8—2921no—
428C22×C8—731no—
429C22×C8—731no—
430C22×C8—731no—
431C22×C8—731no—
432C22×C8—1462no—
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#117D29214yes—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—731no—
454C2×C4⋊C4—731no—
455C2×C4⋊C4—1461no—
456C2×C4⋊C4—1461no—
457C2×C4⋊C4—1461no—
458C2×C4⋊C4C22⋊D7311yescharacteristic
459C2×C4⋊C4C22⋊D7311yescharacteristic
460C2×C4⋊C4C22×D7311yescharacteristic
461C2×C4⋊C4C22×D7311yescharacteristic
462C2×C4⋊C4C22×D7311yescharacteristic
463C2×C4⋊C4C22×D7311yescharacteristic
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—1461no—
467C2×C22⋊C4—1461no—
468C2×C22⋊C4—1461no—
469C2×C22⋊C4—1461no—
470C2×C22⋊C4—1461no—
471C2×C22⋊C4C22⋊D7311yescharacteristic
472C2×C22⋊C4C22⋊D7311yescharacteristic
473C2×C42—21no—
474C2×C42—21no—
475C2×C42—1461no—
476C2×C42C22×D7311yescharacteristic
477C2×C42C22×D7311yescharacteristic
478C4⋊C8—1462no—
479C4⋊C8—1462no—
480C4⋊C8—1462no—
481C4⋊C8—1462no—
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—21no—
491#95—21no—
492#95—21no—
493#95—21no—
494#95—21no—
495#95—21no—
496C24—1461no—
497C24C2×C22⋊D7311yescharacteristic
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—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—5841no—
525C22×C4—5841no—
526C22×C4—1461no—
527C22×C4—1461no—
528C22×C4—1461no—
529C22×C4—1464no—
530C22×C4C2×C4×D7312yes—
531C22×C4C2×C22⋊D7311yescharacteristic
532C22×C4C2×C22⋊D7311yescharacteristic
533C22×C4C2×C22⋊D7311yescharacteristic
534C22×C4C2×C22⋊D7311yescharacteristic
535C22×C4C2×C22⋊D7311yescharacteristic
536C22×C4C2×D29212yes—
537C22×C4C23×D7311yescharacteristic
538M16—2924no—
539C2×C8—2924no—
540C2×C8—1461no—
541C2×C8—1461no—
542C2×C8—1461no—
543C2×C8—1461no—
544C2×C8—1461no—
545C2×C8—1461no—
546C2×C8—1461no—
547C2×C8—1461no—
548C2×C8—1461no—
549C2×C8—1461no—
550C2×C8—1461no—
551C2×C8—1461no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—81no—
561C4⋊C4—81no—
562C4⋊C4—732no—
563C4⋊C4—732no—
564C4⋊C4—1464no—
565C4⋊C4—1464no—
566C4⋊C4—1464no—
567C4⋊C4—1461no—
568C4⋊C4—1461no—
569C4⋊C4#1192400514yes—
570C4⋊C4#1192400514yes—
571C22⋊C4—81no—
572C22⋊C4—81no—
573C22⋊C4—1464no—
574C22⋊C4—1464no—
575C22⋊C4—1464no—
576C22⋊C4—1464no—
577C22⋊C4—1464no—
578C22⋊C4#1192400514yes—
579C22⋊C4#1192400514yes—
580C42—81no—
581C42—81no—
582C42—1464no—
583C42C2×C4×D7312yes—
584C42C2×C4×D7312yes—
585C42C2×D29212yes—
586C42C2×D29212yes—
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×C22⋊D7311yescharacteristic
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—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
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×D29211yescharacteristic
655C2×C4#1455663711yescharacteristic
656C2×C4#1455663711yescharacteristic
657C2×C4#1455663811yescharacteristic
658C2×C4#1455663811yescharacteristic
659C8—2921no—
660C8—2921no—
661C8—2921no—
662C8—2921no—
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#1798916511yescharacteristic
679C22#1798916511yescharacteristic
680C22#1798939011yescharacteristic
681C22#1798939511yescharacteristic
682C22#1798939811yescharacteristic
683C22#1798940211yescharacteristic
684C4—22no—
685C4—22no—
686C4—22no—
687C4—22no—
688C4—22no—
689C4—81no—
690C4—81no—
691C4—81no—
692C4—81no—
693C4—2922no—
694C4—2922no—
695C4—2922no—
696C4#1798906711yescharacteristic
697C4#1798906711yescharacteristic
698C4#1798915611yescharacteristic
699C4#1798916311yescharacteristic
700C2—42no—
701C2—5842no—
702C2#2261251911yescharacteristic
703C2#2261845411yescharacteristic
704C2#2261846111yescharacteristic
705C2#2262133611yescharacteristic
706C2#2262135111yescharacteristic
707C2#2262138711yescharacteristic
708C2#2262139611yescharacteristic
subgroupG/H
centerC23C22×C22⋊D73
commutatorC2×C4×C73C23×C4
FrattiniC22×C4C23×D73
FittingC73×#2314C2
socleC23×C73C22×D4
prime radicalC2×#14556565C22
cosocleC22×C4×C73C24
hypercenter#2314D73
hypocenterC73#21896
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2314

Complements

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

NH ≅ G/Ntype
2. C2×#17988614C2semidirect
3. #22610883C2semidirect
4. #22610879C2semidirect
5. #22610863C2semidirect
6. #22610863C2semidirect
8. #22610362C2semidirect
10. #22610352C2semidirect
11. #22609943C2semidirect
12. #22609938C2semidirect
13. #22609933C2semidirect
14. #22609928C2semidirect
15. C73×#2314C2semidirect
19. #17989208C4semidirect
357. #2314D73semidirect
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
C2×#179886142
#226108832
#226108792
#226108632
#226103672
#226103622
#226103572
#226103522
#226099432
#226099382
#226099332
#226099282
C73×#23142
#2189673