Finite Group Databasebeta

← #33104526

Subgroups — #33104526

Order 18688.

944 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17988656C211yesmaximal, characteristic
2C2×#17988650C211yesmaximal, characteristic
3#22612377C211yesmaximal, characteristic
4#22610653C211yesmaximal, characteristic, complemented
5#22610646C211yesmaximal, characteristic, complemented
6#22610111C211yesmaximal, characteristic, complemented
7#22610110C211yesmaximal, characteristic, complemented
8#22610107C211yesmaximal, characteristic, complemented
9#22610049C211yesmaximal, characteristic, complemented
10#22609913C211yesmaximal, characteristic, complemented
11#22609908C211yesmaximal, characteristic, complemented
12#22609790C211yesmaximal, characteristic, complemented
13#22609629C211yesmaximal, characteristic, complemented
14#336×D73C211yesmaximal, characteristic, complemented
15C73×#1851C211yesmaximal, characteristic, complemented
16C23×#10596831C2211yescharacteristic
17C22×C8×D73C2211yescharacteristic
18C22×C8×D73C2211yescharacteristic
19C2×C4×C22⋊D73C2211yescharacteristic
20C2×#14556550C2211yescharacteristic
21C2×C42×D73C2211yescharacteristic
22#17988656—24no—
23#17988650—24no—
24C2×C4⋊#10596831C2211yescharacteristic
25C2×C4⋊#10596831C2211yescharacteristic
26C2×#14556520C2211yescharacteristic
27C2×#14556520C2211yescharacteristic
28C2×#14556520C2211yescharacteristic
29C2×#14556520C2211yescharacteristic
30C2×C22⋊#10596831C2211yescharacteristic
31C2×#14556503C2211yescharacteristic
32C2×#14556503C2211yescharacteristic
33C2×#14556501C2211yescharacteristic
34C2×C8×Dic73C2211yescharacteristic
35#17988481C411yescharacteristic
36#17988481C411yescharacteristic
37#17988474C411yescharacteristic
38#17988474C411yescharacteristic
39#17988463C411yescharacteristic
40#17988463C411yescharacteristic
41#17988461C411yescharacteristic
42#17988461C411yescharacteristic
43C4×#11924007C2211yescharacteristic
44C4×#11924005C2211yescharacteristic
45#17988433C2211yescharacteristic
46#17988342C2211yescharacteristic
47#17988342C2211yescharacteristic
48#17988341C2211yescharacteristic
49#17988341C2211yescharacteristic
50#17988341C2211yescharacteristic
51#17988341C2211yescharacteristic
52#17988341C2211yescharacteristic
53#17988341C2211yescharacteristic
54C22×M16×C73C2211yescharacteristic
55C2×C4⋊C8×C73C2211yescharacteristic
56C2×C4⋊C8×C73C2211yescharacteristic
57C2×C22⋊C8×C73C2211yescharacteristic
58C4×C22⋊C4×C73C2211yescharacteristic
59#336×C73C2211yescharacteristic
60#336×C73C2211yescharacteristic
61C22×C22⋊D73C2×C411yescharacteristic
62C22×C4×D73C2×C411yescharacteristic
63C22×C4×D73C2×C411yescharacteristic
64C22×C4×D73C2311yescharacteristic
65C22×#10596831—22no—
66C22×#10596831—22no—
67C22×#10596831—41no—
68C22×#10596831C2311yescharacteristic
69C22×#10596831C2311yescharacteristic
70C22×#10596831C2311yescharacteristic
71C22×#10596831C2311yescharacteristic
72C2×C8×D73—22no—
73C2×C8×D73—22no—
74C2×C8×D73—22no—
75C2×C8×D73—22no—
76C2×C8×D73—41no—
77C2×C8×D73—41no—
78C4×C22⋊D73D414yes—
79C4×C22⋊D73Q814yes—
80#14556550—41no—
81#14556550—41no—
82C2×C4⋊Dic73C2×C411yescharacteristic
83C2×C4⋊Dic73C2×C411yescharacteristic
84C2×#11924007C2×C411yescharacteristic
85C2×#11924007C2×C411yescharacteristic
86C2×#11924007C2×C411yescharacteristic
87C2×C22⋊Dic73C2×C411yescharacteristic
88C2×C22⋊Dic73C2×C411yescharacteristic
89C2×C22⋊Dic73C2×C411yescharacteristic
90C2×#11924005C2×C411yescharacteristic
91C2×#11924005C2×C411yescharacteristic
92C2×#11924005C2×C411yescharacteristic
93C2×C4×Dic73C2×C411yescharacteristic
94C2×C4×Dic73C2×C411yescharacteristic
95C2×C4×Dic73C2311yescharacteristic
96C2×C4×Dic73C2311yescharacteristic
97C2×C4×Dic73C2311yescharacteristic
98C42×D73—41no—
99C42×D73—41no—
100C4⋊#10596831—22no—
101C4⋊#10596831—41no—
102#14556520—22no—
103#14556520—22no—
104#14556520—41no—
105#14556520—41no—
106C22⋊#10596831—22no—
107#14556503—22no—
108#14556503—22no—
109#14556501—22no—
110C8×Dic73—22no—
111#14556498C2×C411yescharacteristic
112#14556498C2×C411yescharacteristic
113#14556498C2×C411yescharacteristic
114#14556498C2×C411yescharacteristic
115#14556498C2×C411yescharacteristic
116#14556498C2×C411yescharacteristic
117#14556498C2×C411yescharacteristic
118#14556498C2×C411yescharacteristic
119C23×C4×C73C2311yescharacteristic
120C2×M16×C73—22no—
121C2×M16×C73—22no—
122C2×M16×C73—41no—
123C22×C8×C73C2311yescharacteristic
124C22×C8×C73C2311yescharacteristic
125C22×C8×C73C2311yescharacteristic
126C22×C8×C73C2311yescharacteristic
127C2×C22⋊C4×C73C2×C411yescharacteristic
128C2×C22⋊C4×C73C2×C411yescharacteristic
129C2×C42×C73C2311yescharacteristic
130C2×C42×C73C2311yescharacteristic
131C4⋊C8×C73—22no—
132C4⋊C8×C73—41no—
133C22⋊C8×C73—22no—
134#95×C73C2×C411yescharacteristic
135#95×C73C2×C411yescharacteristic
136C23×D73C22×C411yescharacteristic
137C2×C22⋊D73—22no—
138C2×C22⋊D73—22no—
139C2×C22⋊D73C4⋊C414yes—
140C22×Dic73C22×C411yescharacteristic
141C22×Dic73C22×C411yescharacteristic
142C22×Dic73C22×C411yescharacteristic
143C22×Dic73C22×C411yescharacteristic
144C22×Dic73C22×C411yescharacteristic
145C22×Dic73C22×C411yescharacteristic
146C22×Dic73C22×C411yescharacteristic
147C2×C4×D73—21no—
148C2×C4×D73—21no—
149C2×C4×D73—21no—
150C2×C4×D73—21no—
151C2×C4×D73—22no—
152C2×C4×D73—22no—
153C2×C4×D73—22no—
154C2×C4×D73—41no—
155C2×C4×D73—41no—
156C2×C4×D73—41no—
157C2×C4×D73C2×D412yes—
158C2×C4×D73C2×Q812yes—
159C2×#10596831—21no—
160C2×#10596831—21no—
161C2×#10596831—21no—
162C2×#10596831—21no—
163C2×#10596831—21no—
164C2×#10596831—21no—
165C2×#10596831—21no—
166C2×#10596831—21no—
167C2×#10596831—21no—
168C2×#10596831—21no—
169C2×#10596831—21no—
170C2×#10596831—44no—
171C2×#10596831#4112yes—
172C8×D73—44no—
173C8×D73—44no—
174C4⋊Dic73—41no—
175C4⋊Dic73—41no—
176#11924007—22no—
177#11924007—41no—
178#11924007C4⋊C414yes—
179C22⋊Dic73—41no—
180C22⋊Dic73—41no—
181C22⋊Dic73C4⋊C414yes—
182#11924005—22no—
183#11924005—22no—
184#11924005C4⋊C414yes—
185C4×Dic73—21no—
186C4×Dic73—21no—
187C4×Dic73—21no—
188C4×Dic73—21no—
189C4×Dic73—41no—
190C4×Dic73—41no—
191C4×Dic73C2×D412yes—
192C4×Dic73C2×Q812yes—
193C24×C73C22×C411yescharacteristic
194C22×C4×C73—21no—
195C22×C4×C73—21no—
196C22×C4×C73—21no—
197C22×C4×C73—21no—
198C22×C4×C73C22×C411yescharacteristic
199C22×C4×C73C22×C411yescharacteristic
200C22×C4×C73C22×C411yescharacteristic
201C22×C4×C73C22×C411yescharacteristic
202C22×C4×C73C22×C411yescharacteristic
203C22×C4×C73C2×D412yes—
204C22×C4×C73C2×Q812yes—
205C22×C4×C73C2411yescharacteristic
206M16×C73—44no—
207C2×C8×C73—21no—
208C2×C8×C73—21no—
209C2×C8×C73—21no—
210C2×C8×C73—21no—
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#4112yes—
219C22⋊C4×C73—22no—
220C22⋊C4×C73—41no—
221C42×C73—21no—
222C42×C73—21no—
223C42×C73—21no—
224C42×C73—21no—
225C23×C73—21no—
226C23×C73—21no—
227C23×C73—21no—
228C23×C73—21no—
229C23×C73—21no—
230C23×C73—21no—
231C23×C73C2×C4⋊C412yes—
232C23×C73C23×C411yescharacteristic
233C22×D73—21no—
234C22×D73—21no—
235C22×D73—21no—
236C22×D73—21no—
237C22×D73C2×C4⋊C412yes—
238C22×D73#13112yes—
239C22×D73#13112yes—
240C2×C4×C73—21no—
241C2×C4×C73—21no—
242C2×C4×C73—21no—
243C2×C4×C73—21no—
244C2×C4×C73—22no—
245C2×C4×C73—22no—
246C2×C4×C73—22no—
247C2×C4×C73—22no—
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×C73C2×C4⋊C412yes—
258C2×C4×C73#13112yes—
259C2×C4×C73C22×D411yescharacteristic
260C2×C4×C73C22×Q811yescharacteristic
261C2×C4×C73C2×#4111yescharacteristic
262C2×C4×C73C2×#4111yescharacteristic
263C2×C4×C73H(5,𝔽2)11yescharacteristic
264C2×C4×C73H(5,𝔽2)11yescharacteristic
265C22⋊D73—28no—
266C2×Dic73—21no—
267C2×Dic73—21no—
268C2×Dic73—21no—
269C2×Dic73—21no—
270C2×Dic73—21no—
271C2×Dic73—21no—
272C2×Dic73—21no—
273C2×Dic73—21no—
274C2×Dic73—21no—
275C2×Dic73—21no—
276C2×Dic73—21no—
277C2×Dic73—21no—
278C2×Dic73—21no—
279C2×Dic73—21no—
280C2×Dic73—21no—
281C2×Dic73—21no—
282C2×Dic73—21no—
283C2×Dic73—21no—
284C2×Dic73C2×C4⋊C412yes—
285C2×Dic73C2×C4⋊C412yes—
286C2×Dic73C2×C4⋊C412yes—
287C4×D73—22no—
288C4×D73—22no—
289C4×D73—22no—
290C4×D73—22no—
291C4×D73—44no—
292C4×D73—44no—
293C8×C73—22no—
294C8×C73—41no—
295C8×C73—41no—
296C8×C73—41no—
297#10596831—22no—
298#10596831—41no—
299#10596831—41no—
300#10596831—41no—
301C22×C73—22no—
302C22×C73—22no—
303C22×C73—22no—
304C22×C73—41no—
305C22×C73—41no—
306C22×C73—41no—
307C22×C73—41no—
308C22×C73C22×C4⋊C411yescharacteristic
309C22×C73C4×#4111yescharacteristic
310C22×C73#51811yescharacteristic
311C22×C73C2×#13111yescharacteristic
312C22×C73C2×#13111yescharacteristic
313C22×C73C2×#13111yescharacteristic
314C22×C73#56811yescharacteristic
315C2×D73—22no—
316C2×D73—22no—
317C2×D73—22no—
318C2×D73—22no—
319C2×D73—22no—
320C2×D73—22no—
321C2×D73#42414yes—
322C4×C73—22no—
323C4×C73—22no—
324C4×C73—41no—
325C4×C73—41no—
326C4×C73—41no—
327C4×C73#54611yescharacteristic
328C4×C73#54611yescharacteristic
329C4×C73#55411yescharacteristic
330C4×C73#55411yescharacteristic
331Dic73—22no—
332Dic73—22no—
333Dic73—22no—
334Dic73—41no—
335Dic73—41no—
336Dic73—41no—
337Dic73—41no—
338#22697—731nomaximal, Sylow
339C2×C73—42no—
340C2×C73#234911yescharacteristic
341C2×C73C2×#42411yescharacteristic
342C2×C73#290611yescharacteristic
343C2×C73#296611yescharacteristic
344C2×C73#296811yescharacteristic
345C2×C73#297611yescharacteristic
346C2×C73#297711yescharacteristic
347D73—24no—
348C2×#435—731no—
349C2×C8×D4—731no—
350#2290—731no—
351#1940—731no—
352#1939—731no—
353#1851D7311yescharacteristic, complemented
354#1850—731no—
355#1850—731no—
356#1850—731no—
357#1832—731no—
358#1798—731no—
359#1797—731no—
360#1768—731no—
361#1729—731no—
362C2×#336—731no—
363C73#2269711yescharacteristic, complemented, Sylow
364C22×M16C2×D7311yescharacteristic
365C23×C8—731no—
366C23×C8—731no—
367C23×C8—731no—
368C2×C4×D4—731no—
369C2×#117—731no—
370C22×C42—731no—
371#435—1464no—
372C8×D4—1464no—
373C2×C4⋊C8—731no—
374C2×C4⋊C8—731no—
375C2×C4⋊C8—731no—
376C2×C4⋊C8—731no—
377C2×C4⋊C8—731no—
378C2×C4⋊C8—731no—
379C2×C4⋊C8C2×D7311yescharacteristic
380C2×C4⋊C8C2×D7311yescharacteristic
381C2×C22⋊C8—731no—
382C2×C22⋊C8—731no—
383C2×C22⋊C8—731no—
384C2×C22⋊C8C2×D7311yescharacteristic
385C2×#97—731no—
386C2×C4×C8—731no—
387#388—731no—
388#388—731no—
389#387—731no—
390#387—731no—
391#386—731no—
392#386—731no—
393#385—731no—
394#385—731no—
395C4×C4⋊C4—731no—
396C4×C22⋊C4—731no—
397C4×C22⋊C4C2×D7311yescharacteristic
398#376—731no—
399#336—731no—
400#336—731no—
401#336—731no—
402#336—731no—
403#336—731no—
404#336—731no—
405#336—731no—
406#336—731no—
407#336C2×D7311yescharacteristic
408#336C2×D7311yescharacteristic
409C22×D4—731no—
410C23×C4—731no—
411C23×C4—731no—
412C23×C4—731no—
413C23×C4C22×D7311yescharacteristic
414C2×M16—22no—
415C2×M16—22no—
416C2×M16—41no—
417C22×C8—2921no—
418C22×C8—2921no—
419C22×C8—2921no—
420C22×C8—731no—
421C22×C8—731no—
422C22×C8—731no—
423C22×C8—731no—
424C22×C8—1462no—
425C22×C8—1462no—
426C22×C8—1462no—
427C22×C8—1462no—
428C22×C8—1462no—
429C22×C8—1462no—
430C22×C8C22×D7311yescharacteristic
431C22×C8C22×D7311yescharacteristic
432C22×C8C22×D7311yescharacteristic
433C22×C8C22×D7311yescharacteristic
434C4×D4—734no—
435C4×D4—734no—
436#117—2921no—
437#117—2921no—
438C2×C4⋊C4—731no—
439C2×C4⋊C4—731no—
440C2×C4⋊C4—731no—
441C2×C4⋊C4—731no—
442C2×C4⋊C4—731no—
443C2×C22⋊C4—731no—
444C2×C22⋊C4—731no—
445C2×C22⋊C4—731no—
446C2×C22⋊C4—731no—
447C2×C22⋊C4—731no—
448C2×C22⋊C4—731no—
449C2×C22⋊C4C4×D7311yescharacteristic
450C2×C22⋊C4C4×D7311yescharacteristic
451C2×C42—2921no—
452C2×C42—2921no—
453C2×C42—731no—
454C2×C42—731no—
455C2×C42—731no—
456C2×C42—731no—
457C2×C42—731no—
458C2×C42C22×D7311yescharacteristic
459C2×C42C22×D7311yescharacteristic
460C4⋊C8—22no—
461C4⋊C8—41no—
462C4⋊C8—2921no—
463C4⋊C8—2921no—
464C4⋊C8—2921no—
465C4⋊C8—1462no—
466C4⋊C8—1462no—
467C4⋊C8—1462no—
468C22⋊C8—22no—
469C22⋊C8—1462no—
470C22⋊C8—1462no—
471C22⋊C8—1462no—
472#97—1462no—
473C4×C8—1462no—
474#95—731no—
475#95—731no—
476#95—731no—
477#95—731no—
478#95—731no—
479#95—731no—
480#95—731no—
481#95—731no—
482#95C4×D7311yescharacteristic
483#95C4×D7311yescharacteristic
484C24—731no—
485C24C2×C4×D7311yescharacteristic
486C2×D4—734no—
487C2×D4—1462no—
488C2×D4—1462no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—2921no—
494C22×C4—2921no—
495C22×C4—2921no—
496C22×C4—731no—
497C22×C4—731no—
498C22×C4—731no—
499C22×C4—732no—
500C22×C4—732no—
501C22×C4—731no—
502C22×C4—731no—
503C22×C4—731no—
504C22×C4—731no—
505C22×C4—1462no—
506C22×C4—1462no—
507C22×C4—1462no—
508C22×C4—1461no—
509C22×C4—1461no—
510C22×C4—1461no—
511C22×C4—1461no—
512C22×C4C2×C4×D7311yescharacteristic
513C22×C4C2×C4×D7311yescharacteristic
514C22×C4C2×C4×D7311yescharacteristic
515C22×C4C2×C4×D7311yescharacteristic
516C22×C4C2×C4×D7311yescharacteristic
517C22×C4D4×D7312yes—
518C22×C4Q8×D7312yes—
519C22×C4C23×D7311yescharacteristic
520M16—44no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—2924no—
533C2×C8—2924no—
534C2×C8—2924no—
535C2×C8—732no—
536C2×C8—1461no—
537C2×C8—1461no—
538C2×C8—1461no—
539C2×C8—1461no—
540C2×C8—1461no—
541C2×C8—1461no—
542C2×C8—1461no—
543C2×C8—1461no—
544C2×C8—1461no—
545C2×C8—1461no—
546C2×C8—1461no—
547C2×C8#1192402712yes—
548C4⋊C4—2921no—
549C4⋊C4—2921no—
550C4⋊C4—2921no—
551C4⋊C4—734no—
552C4⋊C4—1462no—
553C22⋊C4—22no—
554C22⋊C4—41no—
555C22⋊C4—2921no—
556C22⋊C4—2921no—
557C22⋊C4—734no—
558C22⋊C4—734no—
559C22⋊C4—1462no—
560C22⋊C4—1462no—
561C42—21no—
562C42—21no—
563C42—21no—
564C42—21no—
565C42—2921no—
566C42—2921no—
567C42—732no—
568C42—732no—
569C42—1461no—
570C42—1461no—
571C42—1461no—
572C42—1461no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—21no—
579C23—732no—
580C23—732no—
581C23—732no—
582C23—1461no—
583C23—1461no—
584C23—1461no—
585C23—1461no—
586C23C4⋊C4×D7312yes—
587C23C22×C4×D7311yescharacteristic
588D4—1468no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—2924no—
607C2×C4—2924no—
608C2×C4—732no—
609C2×C4—732no—
610C2×C4—732no—
611C2×C4—1461no—
612C2×C4—1461no—
613C2×C4—1461no—
614C2×C4—1461no—
615C2×C4—1461no—
616C2×C4—1461no—
617C2×C4—1461no—
618C2×C4—1461no—
619C2×C4—1461no—
620C2×C4—1461no—
621C2×C4—1461no—
622C2×C4—1461no—
623C2×C4—1461no—
624C2×C4—1461no—
625C2×C4—1461no—
626C2×C4—1461no—
627C2×C4—1461no—
628C2×C4—1461no—
629C2×C4—1462no—
630C2×C4—1462no—
631C2×C4—1462no—
632C2×C4—1462no—
633C2×C4C4⋊C4×D7312yes—
634C2×C4#1455659912yes—
635C2×C4C2×D4×D7311yescharacteristic
636C2×C4C2×Q8×D7311yescharacteristic
637C2×C4#41×D7311yescharacteristic
638C2×C4C2×#1192402711yescharacteristic
639C2×C4#1455663611yescharacteristic
640C2×C4#1455663711yescharacteristic
641C8—22no—
642C8—41no—
643C8—41no—
644C8—41no—
645C8—2921no—
646C8—2921no—
647C8—2921no—
648C8—1462no—
649C22—22no—
650C22—22no—
651C22—22no—
652C22—41no—
653C22—41no—
654C22—41no—
655C22—41no—
656C22—734no—
657C22—1462no—
658C22—1462no—
659C22—1462no—
660C22—1462no—
661C22—1462no—
662C22—1462no—
663C22C2×C4⋊C4×D7311yescharacteristic
664C22C4×#1192402711yescharacteristic
665C22#1798905911yescharacteristic
666C22#131×D7311yescharacteristic
667C22#131×D7311yescharacteristic
668C22C2×#1455659911yescharacteristic
669C22#1798935311yescharacteristic
670C4—22no—
671C4—22no—
672C4—41no—
673C4—41no—
674C4—41no—
675C4—2921no—
676C4—2921no—
677C4—2921no—
678C4—2921no—
679C4—1462no—
680C4—1462no—
681C4—1462no—
682C4#1798922411yescharacteristic
683C4#1798922911yescharacteristic
684C4#1798929111yescharacteristic
685C4#1798929511yescharacteristic
686C2—42no—
687C2—1464no—
688C2#2261283711yescharacteristic
689C2#424×D7311yescharacteristic
690C2#2261850011yescharacteristic
691C2#2261890911yescharacteristic
692C2#2261892211yescharacteristic
693C2#2261897511yescharacteristic
694C2#2261898211yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D73
commutator, socleC23×C73C23×C4
FittingC73×#1851C2
prime radicalC22×C22⋊D73C2×C4
cosocleC22×C4×C73C24
hypercenter#1851D73
hypocenterC73#22697
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C22×C4 ◁ #1851

Complements

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

NH ≅ G/Ntype
4. #22610653C2semidirect
5. #22610646C2semidirect
6. #22610111C2semidirect
7. #22610110C2semidirect
8. #22610107C2semidirect
9. #22610049C2semidirect
10. #22609913C2semidirect
11. #22609908C2semidirect
12. #22609790C2semidirect
13. #22609629C2semidirect
14. #336×D73C2semidirect
15. C73×#1851C2semidirect
353. #1851D73semidirect
363. C73#22697semidirect

Maximal subgroups

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

subgroupindex
C2×#179886562
C2×#179886502
#226123772
#226106532
#226106462
#226101112
#226101102
#226101072
#226100492
#226099132
#226099082
#226097902
#226096292
#336×D732
C73×#18512
#2269773