Finite Group Databasebeta

← #33108566

Subgroups — #33108566

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×#17988818C211yesmaximal, characteristic
2C2×#17988672C211yesmaximal, characteristic, complemented
3C22×#14556522C211yesmaximal, characteristic, complemented
4#22612947C211yesmaximal, characteristic
5#22612940C211yesmaximal, characteristic, complemented
6#22610782C211yesmaximal, characteristic, complemented
7#22610658C211yesmaximal, characteristic, complemented
8#22610568C211yesmaximal, characteristic, complemented
9#22610556C211yesmaximal, characteristic, complemented
10#22610246C211yesmaximal, characteristic
11#22610197C211yesmaximal, characteristic, complemented
12#22610193C211yesmaximal, characteristic, complemented
13#22609819C211yesmaximal, characteristic, complemented
14#22609705C211yesmaximal, characteristic, complemented
15C73×#1872C211yesmaximal, characteristic, complemented
16C22×#11924015C2211yescharacteristic
17C23×#10596831C2211yescharacteristic
18C2×#14556565C2211yescharacteristic
19C2×Q8×Dic73C2211yescharacteristic
20C2×#14556553C2211yescharacteristic
21C2×C4×C22⋊D73—21no—
22C22×C4⋊Dic73C2211yescharacteristic
23#17988818C418yescomplemented
24#17988672—24no—
25C2×#14556522—24no—
26C2×#14556522C2211yescharacteristic
27C2×#14556522C2211yescharacteristic
28C2×#14556522C2211yescharacteristic
29C2×#14556522C2211yescharacteristic
30C2×#14556522C2211yescharacteristic
31C2×#14556515C2211yescharacteristic
32C2×#14556513C2211yescharacteristic
33C2×#14556513C2211yescharacteristic
34C2×#14556511C2211yescharacteristic
35C2×C8×Dic73C2211yescharacteristic
36C2×C8×Dic73C2211yescharacteristic
37#17988494C2211yescharacteristic
38#17988488C2211yescharacteristic
39#17988486—21no—
40#17988486C2211yescharacteristic
41#17988483C2211yescharacteristic
42#17988477—21no—
43#17988473—21no—
44#17988466—21no—
45#17988462—21no—
46#17988458—21no—
47C4⋊C4×Dic73C2211yescharacteristic
48C4⋊C4×Dic73C2211yescharacteristic
49C22⋊C4×Dic73—21no—
50C4×C22⋊Dic73C2211yescharacteristic
51#17988350C2211yescharacteristic
52#17988350C2211yescharacteristic
53#17988341C2211yescharacteristic
54#17988341C2211yescharacteristic
55C2×C22⋊Q8×C73C2211yescharacteristic
56C22×C4⋊C4×C73C2211yescharacteristic
57C2×#103×C73C2211yescharacteristic
58C2×#103×C73C2211yescharacteristic
59C2×C22⋊C8×C73C2211yescharacteristic
60#340×C73C2211yescharacteristic
61#340×C73C2211yescharacteristic
62C22×D292C2311yescharacteristic
63C22×C22⋊D73—21no—
64C23×Dic73—21no—
65C22×C4×D73—21no—
66C2×#11924015—22no—
67C2×#11924015—22no—
68C2×#11924015C2×C414yescomplemented
69C22×#10596831—22no—
70C22×#10596831—22no—
71C22×#10596831C2×C414yescomplemented
72C22×#10596831C2311yescharacteristic
73C22×#10596831C2311yescharacteristic
74#14556565—22no—
75#14556565C2×C414yes—
76Q8×Dic73—22no—
77Q8×Dic73—41no—
78#14556553—22no—
79#14556553—41no—
80C4×C22⋊D73—44no—
81C2×C4⋊Dic73—22no—
82C2×C4⋊Dic73—21no—
83C2×C4⋊Dic73—21no—
84C2×C4⋊Dic73—21no—
85C2×C4⋊Dic73—41no—
86C2×C4⋊Dic73C2311yescharacteristic
87C2×C4⋊Dic73C2311yescharacteristic
88C2×C4⋊Dic73C2311yescharacteristic
89C2×#11924007—21no—
90C2×C22⋊Dic73D411yescharacteristic
91C2×C22⋊Dic73D411yescharacteristic
92C2×#11924005—21no—
93C2×#11924005—21no—
94C2×#11924005—21no—
95C2×#11924005—21no—
96C2×C4×Dic73—21no—
97C2×C4×Dic73—21no—
98C2×C4×Dic73—21no—
99C2×C4×Dic73C2311yescharacteristic
100C2×C4×Dic73C2311yescharacteristic
101#14556522—22no—
102#14556522—22no—
103#14556522—22no—
104#14556522C2×C414yescomplemented
105#14556522D414yescomplemented
106#14556515C2×C414yescomplemented
107#14556513—22no—
108#14556513—41no—
109#14556511C2×C414yescomplemented
110C8×Dic73—22no—
111C8×Dic73—22no—
112#14556498—21no—
113#14556498—21no—
114#14556498—21no—
115#14556498—21no—
116#14556498—21no—
117#14556498—21no—
118#14556498D411yescharacteristic
119#14556498D411yescharacteristic
120C22×Q8×C73C2311yescharacteristic
121C23×C4×C73—21no—
122C23×C4×C73C2311yescharacteristic
123C22×C8×C73C2311yescharacteristic
124C22×C8×C73C2311yescharacteristic
125C22⋊Q8×C73—22no—
126C22⋊Q8×C73C2×C414yescomplemented
127C2×C4⋊C4×C73—21no—
128C2×C4⋊C4×C73—22no—
129C2×C4⋊C4×C73—21no—
130C2×C4⋊C4×C73—41no—
131C2×C4⋊C4×C73C2311yescharacteristic
132C2×C4⋊C4×C73C2311yescharacteristic
133C2×C4⋊C4×C73C2311yescharacteristic
134C2×C22⋊C4×C73—21no—
135#103×C73—22no—
136#103×C73—41no—
137C22⋊C8×C73—22no—
138C23×D73—21no—
139C2×D292—21no—
140C2×D292—21no—
141C2×D292—21no—
142C2×D292—21no—
143C2×D292—21no—
144C2×D292C22×C412yes—
145C2×C22⋊D73—24no—
146C2×C22⋊D73—42no—
147C2×C22⋊D73—42no—
148C22×Dic73—21no—
149C22×Dic73—21no—
150C22×Dic73—21no—
151C22×Dic73—42no—
152C22×Dic73—42no—
153C22×Dic73—81no—
154C22×Dic73C2×D411yescharacteristic
155C22×Dic73C2×D411yescharacteristic
156C22×Dic73C2×D411yescharacteristic
157C22×Dic73C2×D411yescharacteristic
158C2×C4×D73—42no—
159C2×C4×D73—42no—
160C2×C4×D73—81no—
161#11924015—28no—
162C2×#10596831—21no—
163C2×#10596831—21no—
164C2×#10596831—28no—
165C2×#10596831C22×C412yes—
166C2×#10596831C22×C412yes—
167C2×#10596831C2×D412yes—
168C2×#10596831#4112yes—
169C4⋊Dic73—21no—
170C4⋊Dic73—21no—
171C4⋊Dic73—21no—
172C4⋊Dic73—21no—
173C4⋊Dic73—42no—
174C4⋊Dic73—42no—
175C4⋊Dic73—81no—
176C4⋊Dic73C22×C412yes—
177C4⋊Dic73C2×D412yes—
178#11924007—42no—
179C22⋊Dic73—22no—
180C22⋊Dic73SD1614yescomplemented
181#11924005—24no—
182#11924005—42no—
183#11924005—42no—
184#11924005—81no—
185C4×Dic73—21no—
186C4×Dic73—21no—
187C4×Dic73—21no—
188C4×Dic73—21no—
189C4×Dic73—42no—
190C4×Dic73—42no—
191C4×Dic73—81no—
192C24×C73C2×D411yescharacteristic
193C2×Q8×C73—21no—
194C2×Q8×C73—21no—
195C2×Q8×C73—21no—
196C2×Q8×C73—21no—
197C2×Q8×C73—21no—
198C2×Q8×C73C22×C412yes—
199C22×C4×C73—21no—
200C22×C4×C73—21no—
201C22×C4×C73—21no—
202C22×C4×C73—21no—
203C22×C4×C73—21no—
204C22×C4×C73—21no—
205C22×C4×C73—21no—
206C22×C4×C73—21no—
207C22×C4×C73—42no—
208C22×C4×C73—42no—
209C22×C4×C73—81no—
210C22×C4×C73C22×C412yes—
211C22×C4×C73C2×D411yescharacteristic
212C22×C4×C73#4112yes—
213C22×C4×C73C2411yescharacteristic
214C2×C8×C73—21no—
215C2×C8×C73—21no—
216C2×C8×C73—21no—
217C2×C8×C73—21no—
218C2×C8×C73—21no—
219C2×C8×C73—21no—
220C4⋊C4×C73—24no—
221C4⋊C4×C73—21no—
222C4⋊C4×C73—21no—
223C4⋊C4×C73—21no—
224C4⋊C4×C73—21no—
225C4⋊C4×C73—42no—
226C4⋊C4×C73C22×C412yes—
227C4⋊C4×C73C2×D412yes—
228C22⋊C4×C73—24no—
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—
244Q8×C73—22no—
245Q8×C73—22no—
246Q8×C73—41no—
247Q8×C73—41no—
248C2×C4×C73—21no—
249C2×C4×C73—21no—
250C2×C4×C73—22no—
251C2×C4×C73—22no—
252C2×C4×C73—22no—
253C2×C4×C73—22no—
254C2×C4×C73—22no—
255C2×C4×C73—22no—
256C2×C4×C73—22no—
257C2×C4×C73—41no—
258C2×C4×C73—41no—
259C2×C4×C73—41no—
260C2×C4×C73—41no—
261C2×C4×C73—41no—
262C2×C4×C73—41no—
263C2×C4×C73—41no—
264C2×C4×C73—41no—
265C2×C4×C73—41no—
266C2×C4×C73—84no—
267C2×C4×C73C4×D412yes—
268C2×C4×C73C23×C411yescharacteristic
269C2×C4×C73C22×D411yescharacteristic
270C2×C4×C73C2×#4111yescharacteristic
271C2×C4×C73C2×#4111yescharacteristic
272C2×C4×C73H(5,𝔽2)11yescharacteristic
273C2×C4×C732−1+411yescharacteristic
274C22⋊D73—48no—
275C2×Dic73—21no—
276C2×Dic73—21no—
277C2×Dic73—21no—
278C2×Dic73—21no—
279C2×Dic73—22no—
280C2×Dic73—21no—
281C2×Dic73—22no—
282C2×Dic73—21no—
283C2×Dic73—21no—
284C2×Dic73—21no—
285C2×Dic73—21no—
286C2×Dic73—21no—
287C2×Dic73—41no—
288C2×Dic73—41no—
289C2×Dic73—41no—
290C2×Dic73—41no—
291C2×Dic73—41no—
292C2×Dic73—41no—
293C2×Dic73—41no—
294C2×Dic73—84no—
295C2×Dic73C2×SD1612yes—
296C2×Dic73C2×SD1612yes—
297D292—22no—
298D292—22no—
299D292—41no—
300D292—41no—
301C4×D73—84no—
302C8×C73—41no—
303C8×C73—41no—
304#10596831—22no—
305#10596831C4×D414yescomplemented
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—42no—
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—41no—
341Dic73—42no—
342Dic73—81no—
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×#106—731no—
356#2361—731no—
357#2360—731no—
358#1968—731no—
359#1941—731no—
360#1927—731no—
361#1926—731no—
362#1874—731no—
363#1872D7311yescharacteristic, complemented
364#1865—731no—
365#1864—731no—
366C4×#106—731no—
367C8×C22⋊C4—731no—
368C73#2302211yescharacteristic, complemented, Sylow
369C22×SD16—731no—
370C23×C8—731no—
371C2×C22⋊Q8C2×D7311yescharacteristic
372C2×#121—731no—
373C2×C4×Q8—731no—
374C2×C4×D4—731no—
375C2×C4×D4—1461no—
376C22×C4⋊C4—731no—
377C22×C4⋊C4C2×D7311yescharacteristic
378#465—738no—
379C4×SD16—1464no—
380C2×#106—731no—
381C2×#106—731no—
382C2×#106—731no—
383C2×#106—731no—
384C2×#106—731no—
385C2×#106—1464no—
386C2×#103—731no—
387C2×#103C2×D7311yescharacteristic
388C2×#103C2×D7311yescharacteristic
389C2×#102—731no—
390C2×#102—731no—
391C2×#102—731no—
392C2×C22⋊C8C2×D7311yescharacteristic
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#340C2×D7311yescharacteristic
412#340C2×D7311yescharacteristic
413#336—731no—
414#336—731no—
415C22×Q8C22×D7311yescharacteristic
416C22×D4—731no—
417C22×D4—1461no—
418C23×C4—21no—
419C23×C4—1461no—
420C23×C4—1461no—
421C23×C4C22×D7311yescharacteristic
422C2×SD16—734no—
423C2×SD16—1462no—
424C2×SD16—1462no—
425C22×C8—731no—
426C22×C8—734no—
427C22×C8—731no—
428C22×C8—1462no—
429C22×C8—1462no—
430C22×C8C22×D7311yescharacteristic
431C22×C8C22×D7311yescharacteristic
432C22⋊Q8—22no—
433C22⋊Q8C4×D7314yescomplemented
434#121—734no—
435#121—1462no—
436C4×Q8—2921no—
437C4×Q8—1462no—
438C4×D4—2924no—
439C4×D4—2921no—
440C4×D4—1462no—
441C2×C4⋊C4—21no—
442C2×C4⋊C4—22no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—41no—
445C2×C4⋊C4—2921no—
446C2×C4⋊C4—731no—
447C2×C4⋊C4—731no—
448C2×C4⋊C4—731no—
449C2×C4⋊C4—1461no—
450C2×C4⋊C4—1461no—
451C2×C4⋊C4—1461no—
452C2×C4⋊C4—1462no—
453C2×C4⋊C4—1461no—
454C2×C4⋊C4C22×D7311yescharacteristic
455C2×C4⋊C4C22×D7311yescharacteristic
456C2×C4⋊C4C22×D7311yescharacteristic
457C2×C22⋊C4—21no—
458C2×C22⋊C4—731no—
459C2×C22⋊C4—731no—
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—734no—
470#106—734no—
471#106—1462no—
472#106—1462no—
473#106—1462no—
474#103—22no—
475#103—41no—
476#103—734no—
477#102—2921no—
478#102—734no—
479#102—1462no—
480C22⋊C8—22no—
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—21no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8C2×C4×D7312yes—
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—81no—
519C22×C4—2922no—
520C22×C4—2922no—
521C22×C4—2922no—
522C22×C4—2922no—
523C22×C4—5841no—
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#1192402712yes—
535C22×C4C23×D7311yescharacteristic
536SD16—1468no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—732no—
544C2×C8—732no—
545C2×C8—732no—
546C2×C8—732no—
547C2×C8—1468no—
548C2×C8—1461no—
549C2×C8—1461no—
550C4⋊C4—24no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—42no—
556C4⋊C4—2922no—
557C4⋊C4—2922no—
558C4⋊C4—2922no—
559C4⋊C4—5841no—
560C4⋊C4—732no—
561C4⋊C4—732no—
562C4⋊C4—1461no—
563C4⋊C4—1461no—
564C4⋊C4—1461no—
565C4⋊C4—1461no—
566C4⋊C4C2×C4×D7312yes—
567C4⋊C4D4×D7312yes—
568C22⋊C4—24no—
569C22⋊C4—2922no—
570C22⋊C4—2922no—
571C22⋊C4—5841no—
572C22⋊C4—734no—
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#1455655112yes—
594C23SD16×D7312yes—
595C23#1455661412yes—
596C23C2×D4×D7311yescharacteristic
597Q8—22no—
598Q8—22no—
599Q8—41no—
600Q8—41no—
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—22no—
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—2921no—
626C2×C4—2921no—
627C2×C4—2921no—
628C2×C4—2921no—
629C2×C4—2921no—
630C2×C4—2921no—
631C2×C4—2921no—
632C2×C4—5844no—
633C2×C4—5844no—
634C2×C4—732no—
635C2×C4—732no—
636C2×C4—1461no—
637C2×C4—1461no—
638C2×C4—1462no—
639C2×C4—1461no—
640C2×C4—1461no—
641C2×C4—1462no—
642C2×C4—1461no—
643C2×C4—1461no—
644C2×C4—1461no—
645C2×C4—1461no—
646C2×C4—1461no—
647C2×C4—1461no—
648C2×C4#1455655112yes—
649C2×C4C22×C4×D7311yescharacteristic
650C2×C4C2×D4×D7311yescharacteristic
651C2×C4#41×D7311yescharacteristic
652C2×C4C2×#1192402711yescharacteristic
653C2×C4#1455663611yescharacteristic
654C2×C4#1455663811yescharacteristic
655C8—41no—
656C8—41no—
657C8—734no—
658C8—1462no—
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#1798867214yescomplemented
673C22C2×#1455655111yescharacteristic
674C22#1798921911yescharacteristic
675C22#1798923511yescharacteristic
676C22C2×SD16×D7311yescharacteristic
677C22C2×#1455661411yescharacteristic
678C22#1798939611yescharacteristic
679C22#1798939711yescharacteristic
680C4—22no—
681C4—42no—
682C4—42no—
683C4—42no—
684C4—81no—
685C4—2922no—
686C4—2921no—
687C4—2922no—
688C4—2921no—
689C4—5841no—
690C4—1462no—
691C4—1462no—
692C4C4×D4×D7311yescharacteristic
693C4#1798906611yescharacteristic
694C4#1798924311yescharacteristic
695C4#1798928011yescharacteristic
696C2—24no—
697C2—5842no—
698C2#2261294211yescharacteristic
699C2C2×#1798867211yescharacteristic
700C2#2261881011yescharacteristic
701C2#2262162511yescharacteristic
702C2#2262163111yescharacteristic
703C2#2262228111yescharacteristic
704C2#2262230811yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutatorC2×C4×C73C23×C4
FrattiniC22×C4C23×D73
FittingC73×#1872C2
socleC23×C73C22×D4
prime radicalC2×#14556565C22
cosocleC22×C4×C73C24
hypercenter#1872D73
hypocenterC73#23022
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1872

Complements

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

NH ≅ G/Ntype
2. C2×#17988672C2semidirect
3. C22×#14556522C2semidirect
5. #22612940C2semidirect
6. #22610782C2semidirect
7. #22610658C2semidirect
8. #22610568C2semidirect
9. #22610556C2semidirect
11. #22610197C2semidirect
12. #22610193C2semidirect
13. #22609819C2semidirect
14. #22609705C2semidirect
15. C73×#1872C2semidirect
23. #17988818C4semidirect
68. C2×#11924015C2×C4semidirect
71. C22×#10596831C2×C4semidirect
104. #14556522C2×C4semidirect
105. #14556522D4semidirect
106. #14556515C2×C4semidirect
109. #14556511C2×C4semidirect
126. C22⋊Q8×C73C2×C4semidirect
180. C22⋊Dic73SD16semidirect
305. #10596831C4×D4semidirect
312. C22×C73C4×SD16semidirect
363. #1872D73semidirect
368. C73#23022semidirect
433. C22⋊Q8C4×D73semidirect
672. C22#17988672semidirect

Maximal subgroups

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

subgroupindex
C2×#179888182
C2×#179886722
C22×#145565222
#226129472
#226129402
#226107822
#226106582
#226105682
#226105562
#226102462
#226101972
#226101932
#226098192
#226097052
C73×#18722
#2302273