Finite Group Databasebeta

← #33092561

Subgroups — #33092561

Order 18688.

1098 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17988816C211yesmaximal, characteristic
2C2×#17988689C211yesmaximal, characteristic, complemented
3C4×#14556570C211yesmaximal, characteristic, complemented
4C4×#14556565C211yesmaximal, characteristic
5#22610812C211yesmaximal, characteristic, complemented
6#22610674C211yesmaximal, characteristic, complemented
7#22610628C211yesmaximal, characteristic, complemented
8#22610621C211yesmaximal, characteristic, complemented
9#22610359C211yesmaximal, characteristic
10#22610354C211yesmaximal, characteristic, complemented
11#22609960C211yesmaximal, characteristic, complemented
12#22609828C211yesmaximal, characteristic, complemented
13#22609762C211yesmaximal, characteristic, complemented
14#22609757C211yesmaximal, characteristic, complemented
15C22×#97×C73C211yesmaximal, characteristic, complemented
16C22×#11924017C2211yescharacteristic
17C2×#14556570C2211yescharacteristic
18C2×#14556565C2211yescharacteristic
19C2×C4×Dic146C2211yescharacteristic
20C2×C4×D292C2211yescharacteristic
21C2×C4×C22⋊D73—21no—
22#17988816C418yescomplemented
23#17988689—24no—
24C2×#14556525C2211yescharacteristic
25C2×#14556525C2211yescharacteristic
26C2×#14556523C2211yescharacteristic
27C2×#14556516C2211yescharacteristic
28C2×#14556516C2211yescharacteristic
29C2×#14556516C2211yescharacteristic
30C2×#14556513C2211yescharacteristic
31C2×#14556513C2211yescharacteristic
32C2×#14556513C2211yescharacteristic
33#17988493C2211yescharacteristic
34#17988489C2211yescharacteristic
35#17988485C2211yescharacteristic
36#17988485C2211yescharacteristic
37#17988478—21no—
38#17988471—21no—
39#17988466—21no—
40#17988460—21no—
41#17988447C2211yescharacteristic
42#17988447C2211yescharacteristic
43C4×#11924007—21no—
44C4×C4⋊Dic73C2211yescharacteristic
45C4×C4⋊Dic73C2211yescharacteristic
46C4×#11924005—21no—
47C4×C22⋊Dic73—21no—
48#17988350C2211yescharacteristic
49#17988350C2211yescharacteristic
50#17988350C2211yescharacteristic
51#17988350C2211yescharacteristic
52#17988350C2211yescharacteristic
53#17988350C2211yescharacteristic
54C23×C8×C73C2211yescharacteristic
55C23×C8×C73C2211yescharacteristic
56C22×C42×C73C2211yescharacteristic
57C2×#97×C73—24no—
58C2×#97×C73C2211yescharacteristic
59C2×#97×C73C2211yescharacteristic
60C2×#97×C73C2211yescharacteristic
61C2×#97×C73C2211yescharacteristic
62C22×Dic146C2311yescharacteristic
63C22×D292C2311yescharacteristic
64C22×C22⋊D73—21no—
65C22×C4×D73—21no—
66C2×#11924017—22no—
67C2×#11924017—22no—
68C2×#11924017C2×C414yescomplemented
69#14556570—22no—
70#14556570C2×C414yescomplemented
71#14556565—22no—
72#14556565C2×C414yes—
73C4×Dic146—22no—
74C4×Dic146—22no—
75C4×D292—22no—
76C4×D292—22no—
77C4×C22⋊D73—44no—
78C2×C4⋊Dic73C2311yescharacteristic
79C2×C4⋊Dic73C2311yescharacteristic
80C2×C4⋊Dic73C2311yescharacteristic
81C2×C4⋊Dic73C2311yescharacteristic
82C2×C4⋊Dic73C2311yescharacteristic
83C2×C4⋊Dic73C2311yescharacteristic
84C2×#11924007—21no—
85C2×#11924007—21no—
86C2×#11924007—21no—
87C2×#11924007—21no—
88C2×C22⋊Dic73—21no—
89C2×C22⋊Dic73—21no—
90C2×C22⋊Dic73—21no—
91C2×#11924005—21no—
92C2×#11924005—21no—
93C2×#11924005—21no—
94C2×#11924005—21no—
95C2×C4×Dic73—21no—
96C2×C4×Dic73—21no—
97C2×C4×Dic73—21no—
98#14556525—22no—
99#14556525—22no—
100#14556523C2×C414yescomplemented
101#14556516—22no—
102#14556516—22no—
103#14556516C2×C414yescomplemented
104#14556513—22no—
105#14556513—22no—
106#14556513C2×C414yescomplemented
107#14556498—21no—
108#14556498—21no—
109#14556498—21no—
110#14556498—21no—
111#14556498—21no—
112#14556498—21no—
113#14556498—21no—
114#14556498—21no—
115C23×C4×C73D411yescharacteristic
116C23×C4×C73D411yescharacteristic
117C23×C4×C73C2311yescharacteristic
118C22×C8×C73—22no—
119C22×C8×C73—22no—
120C22×C8×C73—22no—
121C22×C8×C73—22no—
122C22×C8×C73—22no—
123C22×C8×C73C2×C414yescomplemented
124C22×C8×C73C2311yescharacteristic
125C22×C8×C73C2311yescharacteristic
126C22×C8×C73C2311yescharacteristic
127C22×C8×C73C2311yescharacteristic
128C2×C42×C73—22no—
129C2×C42×C73—22no—
130C2×C42×C73D411yescharacteristic
131C2×C42×C73D411yescharacteristic
132C2×C42×C73C2311yescharacteristic
133C2×C42×C73C2311yescharacteristic
134#97×C73—22no—
135#97×C73—22no—
136#97×C73—22no—
137#97×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×Dic73—21no—
158C22×Dic73—21no—
159C22×Dic73—21no—
160C22×Dic73—21no—
161C2×C4×D73—42no—
162C2×C4×D73—42no—
163C2×C4×D73—42no—
164#11924017—28no—
165C4⋊Dic73—21no—
166C4⋊Dic73—21no—
167C4⋊Dic73—21no—
168C4⋊Dic73—21no—
169C4⋊Dic73—21no—
170C4⋊Dic73—21no—
171C4⋊Dic73—21no—
172C4⋊Dic73—21no—
173C4⋊Dic73—21no—
174C4⋊Dic73—21no—
175C4⋊Dic73C22×C412yes—
176C4⋊Dic73C22×C412yes—
177#11924007—24no—
178#11924007—42no—
179#11924007—42no—
180#11924007—42no—
181C22⋊Dic73—24no—
182C22⋊Dic73—42no—
183C22⋊Dic73—42no—
184#11924005—24no—
185#11924005—42no—
186#11924005—42no—
187#11924005—42no—
188C4×Dic73—42no—
189C4×Dic73—42no—
190C4×Dic73—42no—
191C24×C73C2×D411yescharacteristic
192C22×C4×C73—21no—
193C22×C4×C73—21no—
194C22×C4×C73—21no—
195C22×C4×C73—21no—
196C22×C4×C73—22no—
197C22×C4×C73—22no—
198C22×C4×C73—22no—
199C22×C4×C73—22no—
200C22×C4×C73—41no—
201C22×C4×C73—41no—
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×C73#4112yes—
209C22×C4×C73C2411yescharacteristic
210C2×C8×C73—28no—
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—28no—
218C2×C8×C73C22×C412yes—
219C2×C8×C73C22×C412yes—
220C2×C8×C73C2×D412yes—
221C2×C8×C73C2×D412yes—
222C2×C8×C73#4112yes—
223C2×C8×C73#4112yes—
224C42×C73—22no—
225C42×C73—22no—
226C42×C73—21no—
227C42×C73—21no—
228C42×C73C2×D412yes—
229C42×C73#4112yes—
230C23×C73—21no—
231C23×C73—21no—
232C23×C73—21no—
233C23×C73—21no—
234C23×C73C4×D412yes—
235C23×C73AGL(1,ℤ/8)12yes—
236C23×C73#13712yes—
237C23×C73C22×D411yescharacteristic
238C22×D73—22no—
239C22×D73—41no—
240C22×D73—41no—
241C22×D73—41no—
242C22×D73—41no—
243C22×D73—41no—
244C22×D73—41no—
245C2×C4×C73—21no—
246C2×C4×C73—21no—
247C2×C4×C73—21no—
248C2×C4×C73—21no—
249C2×C4×C73—21no—
250C2×C4×C73—21no—
251C2×C4×C73—22no—
252C2×C4×C73—22no—
253C2×C4×C73—22no—
254C2×C4×C73—22no—
255C2×C4×C73—21no—
256C2×C4×C73—21no—
257C2×C4×C73—21no—
258C2×C4×C73—21no—
259C2×C4×C73—21no—
260C2×C4×C73—21no—
261C2×C4×C73—44no—
262C2×C4×C73—44no—
263C2×C4×C73C4×D412yes—
264C2×C4×C73#12112yes—
265C2×C4×C73#12112yes—
266C2×C4×C73C23×C411yescharacteristic
267C2×C4×C73C22×D411yescharacteristic
268C2×C4×C73C2×#4111yescharacteristic
269C2×C4×C73C2×#4111yescharacteristic
270C2×C4×C73C2×#4111yescharacteristic
271C2×C4×C73C2×#4111yescharacteristic
272C22⋊D73—48no—
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—
303C8×C73—22no—
304C8×C73—22no—
305C8×C73—22no—
306C8×C73C4×D414yescomplemented
307C22×C73—22no—
308C22×C73—22no—
309C22×C73—22no—
310C22×C73—22no—
311C22×C73—22no—
312C22×C73—22no—
313C22×C73#44014yescomplemented
314C22×C73C2×C4×D411yescharacteristic
315C22×C73C2×#12111yescharacteristic
316C22×C73#53211yescharacteristic
317C22×C73C2×AGL(1,ℤ/8)11yescharacteristic
318C22×C73C2×#13711yescharacteristic
319C22×C73#57511yescharacteristic
320C22×C73#57511yescharacteristic
321C2×D73—42no—
322C2×D73—42no—
323C2×D73—42no—
324C2×D73—81no—
325C2×D73—81no—
326C2×D73—81no—
327C2×D73—81no—
328C4×C73—22no—
329C4×C73—22no—
330C4×C73—22no—
331C4×C73—41no—
332C4×C73—41no—
333C4×C73C2×C4×D411yescharacteristic
334C4×C73C4×#4111yescharacteristic
335C4×C73#52511yescharacteristic
336C4×C73#52911yescharacteristic
337Dic73—42no—
338Dic73—42no—
339Dic73—42no—
340Dic73—81no—
341Dic73—81no—
342Dic73—81no—
343Dic73—81no—
344#21528—731nomaximal, Sylow
345C2×C73—24no—
346C2×C73C4×#12111yescharacteristic
347C2×C73C2×#44011yescharacteristic
348C2×C73#294311yescharacteristic
349C2×C73#305511yescharacteristic
350C2×C73#305611yescharacteristic
351C2×C73#318011yescharacteristic
352C2×C73#318111yescharacteristic
353D73—82no—
354C2×#465—731no—
355C2×#440—731no—
356C22×#97D7311yescharacteristic, complemented
357C4×C22⋊Q8—731no—
358C4×#121—731no—
359#1973—731no—
360#1944—731no—
361#1936—731no—
362#1935—731no—
363#1893—731no—
364#1892—731no—
365#1808—731no—
366#1776—731no—
367#1763—731no—
368#1762—731no—
369C73#2152811yescharacteristic, complemented, Sylow
370C22×SD16—731no—
371C23×C8C2×D7311yescharacteristic
372C23×C8C2×D7311yescharacteristic
373C2×C22⋊Q8—731no—
374C2×#121—731no—
375C2×C4×Q8—731no—
376C2×C4×D4—731no—
377C2×C4×D4—1461no—
378C22×C42C2×D7311yescharacteristic
379#465—738no—
380#440—1464no—
381C2×#107—731no—
382C2×#107—731no—
383C2×#106—731no—
384C2×#103—731no—
385C2×#103—731no—
386C2×#103—731no—
387C2×#102—731no—
388C2×#102—731no—
389C2×#102—731no—
390C2×#97—24no—
391C2×#97C2×D7311yescharacteristic
392C2×#97C2×D7311yescharacteristic
393C2×#97C2×D7311yescharacteristic
394C2×#97C2×D7311yescharacteristic
395#391—731no—
396#390—731no—
397#389—731no—
398#389—731no—
399#388—1461no—
400#387—1461no—
401#386—1461no—
402#385—1461no—
403#380—731no—
404#380—731no—
405C4×C4⋊C4—731no—
406C4×C4⋊C4—731no—
407C4×C4⋊C4—1461no—
408C4×C22⋊C4—1461no—
409C4×C22⋊C4—1461no—
410#340—731no—
411#340—731no—
412#340—731no—
413#340—731no—
414#340—731no—
415#340—731no—
416C22×Q8—731no—
417C22×D4—731no—
418C22×D4—1461no—
419C23×C4—1461no—
420C23×C4D29211yescharacteristic
421C23×C4D29211yescharacteristic
422C23×C4C22×D7311yescharacteristic
423C2×SD16—734no—
424C2×SD16—1462no—
425C2×SD16—1462no—
426C22×C8—22no—
427C22×C8—22no—
428C22×C8—22no—
429C22×C8—22no—
430C22×C8—22no—
431C22×C8C4×D7314yescomplemented
432C22×C8C22×D7311yescharacteristic
433C22×C8C22×D7311yescharacteristic
434C22×C8C22×D7311yescharacteristic
435C22×C8C22×D7311yescharacteristic
436C22⋊Q8—734no—
437C22⋊Q8—1462no—
438#121—734no—
439#121—1462no—
440C4×Q8—1462no—
441C4×Q8—1462no—
442C4×D4—2924no—
443C4×D4—1462no—
444C4×D4—1462no—
445C2×C4⋊C4—731no—
446C2×C4⋊C4—731no—
447C2×C4⋊C4—731no—
448C2×C4⋊C4—731no—
449C2×C4⋊C4—731no—
450C2×C4⋊C4—731no—
451C2×C4⋊C4—1461no—
452C2×C4⋊C4—1461no—
453C2×C4⋊C4—1461no—
454C2×C4⋊C4—1461no—
455C2×C22⋊C4—1461no—
456C2×C22⋊C4—1461no—
457C2×C22⋊C4—1461no—
458C2×C22⋊C4—1461no—
459C2×C22⋊C4—1461no—
460C2×C22⋊C4—1461no—
461C2×C22⋊C4—1461no—
462C2×C42—22no—
463C2×C42—22no—
464C2×C42—1461no—
465C2×C42—1461no—
466C2×C42—1461no—
467C2×C42D29211yescharacteristic
468C2×C42D29211yescharacteristic
469C2×C42C22×D7311yescharacteristic
470C2×C42C22×D7311yescharacteristic
471#107—1462no—
472#107—1462no—
473#106—734no—
474#103—734no—
475#103—1462no—
476#103—1462no—
477#102—734no—
478#102—1462no—
479#102—1462no—
480#97—22no—
481#97—22no—
482#97—22no—
483#97C22⋊D7314yescomplemented
484#95—1461no—
485#95—1461no—
486#95—1461no—
487#95—1461no—
488#95—1461no—
489#95—1461no—
490#95—1461no—
491#95—1461no—
492C24—1461no—
493C24C2×D29211yescharacteristic
494C2×Q8—732no—
495C2×Q8—1461no—
496C2×Q8—1461no—
497C2×Q8—1461no—
498C2×Q8—1461no—
499C2×Q8—1461no—
500C2×D4—2922no—
501C2×D4—2922no—
502C2×D4—732no—
503C2×D4—1464no—
504C2×D4—1461no—
505C2×D4—1461no—
506C2×D4—1461no—
507C2×D4—1461no—
508C2×D4—1461no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—41no—
518C22×C4—41no—
519C22×C4—2922no—
520C22×C4—2922no—
521C22×C4—2922no—
522C22×C4—1461no—
523C22×C4—1461no—
524C22×C4—1461no—
525C22×C4—1461no—
526C22×C4—1461no—
527C22×C4—1461no—
528C22×C4—1461no—
529C22×C4C2×C4×D7312yes—
530C22×C4C2×D29211yescharacteristic
531C22×C4C2×D29211yescharacteristic
532C22×C4C2×D29211yescharacteristic
533C22×C4C2×D29211yescharacteristic
534C22×C4C2×D29211yescharacteristic
535C22×C4#1192402812yes—
536C22×C4C23×D7311yescharacteristic
537SD16—1468no—
538C2×C8—28no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—28no—
546C2×C8C2×C4×D7312yes—
547C2×C8C2×C4×D7312yes—
548C2×C8C2×C22⋊D7312yes—
549C2×C8C2×C22⋊D7312yes—
550C2×C8#1192402812yes—
551C2×C8#1192402812yes—
552C4⋊C4—2922no—
553C4⋊C4—2922no—
554C4⋊C4—2922no—
555C4⋊C4—732no—
556C4⋊C4—732no—
557C4⋊C4—1461no—
558C4⋊C4—1461no—
559C4⋊C4—1461no—
560C4⋊C4—1461no—
561C4⋊C4—1461no—
562C4⋊C4—1461no—
563C4⋊C4—1461no—
564C4⋊C4—1461no—
565C4⋊C4—1464no—
566C4⋊C4—1461no—
567C4⋊C4—1461no—
568C22⋊C4—2922no—
569C22⋊C4—2922no—
570C22⋊C4—2922no—
571C22⋊C4—2922no—
572C22⋊C4—2922no—
573C22⋊C4—1464no—
574C22⋊C4—1464no—
575C42—22no—
576C42—22no—
577C42—21no—
578C42—21no—
579C42—2922no—
580C42—2922no—
581C42—2922no—
582C42C2×C22⋊D7312yes—
583C42#1192402812yes—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—2921no—
589C23—2921no—
590C23—2921no—
591C23—2921no—
592C23—2921no—
593C23—2921no—
594C23—1462no—
595C23C4×D29212yes—
596C23#1455661912yes—
597C23#1455662412yes—
598C23C22×D29211yescharacteristic
599Q8—2921no—
600Q8—2921no—
601Q8—1462no—
602Q8—1462no—
603D4—2928no—
604D4—2921no—
605D4—2921no—
606D4—1462no—
607D4—1462no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—44no—
625C2×C4—44no—
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×C4C4×D29212yes—
649C2×C4#1455656512yes—
650C2×C4#1455656512yes—
651C2×C4C22×C4×D7311yescharacteristic
652C2×C4C22×C22⋊D7311yescharacteristic
653C2×C4C2×#1192402811yescharacteristic
654C2×C4C2×#1192402811yescharacteristic
655C2×C4C2×#1192402811yescharacteristic
656C2×C4C2×#1192402811yescharacteristic
657C8—22no—
658C8—22no—
659C8—22no—
660C8C4×C22⋊D7314yescomplemented
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—2922no—
668C22—2922no—
669C22—2922no—
670C22—5841no—
671C22—5841no—
672C22—5841no—
673C22—5841no—
674C22#1798868914yescomplemented
675C22C2×C4×D29211yescharacteristic
676C22C2×#1455656511yescharacteristic
677C22#1798913711yescharacteristic
678C22C2×#1455661911yescharacteristic
679C22C2×#1455662411yescharacteristic
680C22#1798938711yescharacteristic
681C22#1798938711yescharacteristic
682C4—22no—
683C4—22no—
684C4—22no—
685C4—41no—
686C4—41no—
687C4—2922no—
688C4—2922no—
689C4—2922no—
690C4—5841no—
691C4—5841no—
692C4—5841no—
693C4—5841no—
694C4C2×C4×C22⋊D7311yescharacteristic
695C4C4×#1192402811yescharacteristic
696C4#1798909811yescharacteristic
697C4#1798912111yescharacteristic
698C2—24no—
699C2—5842no—
700C2C4×#1455656511yescharacteristic
701C2C2×#1798868911yescharacteristic
702C2#2261873311yescharacteristic
703C2#2261955011yescharacteristic
704C2#2261956111yescharacteristic
705C2#2262062911yescharacteristic
706C2#2262064011yescharacteristic
subgroupG/H
centerC23C22×D292
commutatorC2×C4×C73C23×C4
FrattiniC22×C4C23×D73
FittingC22×#97×C73C2
socleC23×C73C22×D4
prime radicalC2×#14556565C22
cosocleC22×C4×C73C24
hypercenterC22×#97D73
hypocenterC73#21528
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C22×C42 ◁ C22×#97

Complements

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

NH ≅ G/Ntype
2. C2×#17988689C2semidirect
3. C4×#14556570C2semidirect
5. #22610812C2semidirect
6. #22610674C2semidirect
7. #22610628C2semidirect
8. #22610621C2semidirect
10. #22610354C2semidirect
11. #22609960C2semidirect
12. #22609828C2semidirect
13. #22609762C2semidirect
14. #22609757C2semidirect
15. C22×#97×C73C2semidirect
22. #17988816C4semidirect
68. C2×#11924017C2×C4semidirect
70. #14556570C2×C4semidirect
100. #14556523C2×C4semidirect
103. #14556516C2×C4semidirect
106. #14556513C2×C4semidirect
123. C22×C8×C73C2×C4semidirect
137. #97×C73D4semidirect
306. C8×C73C4×D4semidirect
313. C22×C73#440semidirect
356. C22×#97D73semidirect
369. C73#21528semidirect
431. C22×C8C4×D73semidirect
483. #97C22⋊D73semidirect
660. C8C4×C22⋊D73semidirect
674. C22#17988689semidirect

Maximal subgroups

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

subgroupindex
C2×#179888162
C2×#179886892
C4×#145565702
C4×#145565652
#226108122
#226106742
#226106282
#226106212
#226103592
#226103542
#226099602
#226098282
#226097622
#226097572
C22×#97×C732
#2152873