Finite Group Databasebeta

← #33104137

Subgroups — #33104137

Order 18688.

1042 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17988657C211yesmaximal, characteristic
2C2×#17988626C211yesmaximal, characteristic, complemented
3C2×#106×D73C211yesmaximal, characteristic, complemented
4#22612863C211yesmaximal, characteristic
5#22612831C211yesmaximal, characteristic
6#22610701C211yesmaximal, characteristic, complemented
7#22610129C211yesmaximal, characteristic, complemented
8#22610125C211yesmaximal, characteristic, complemented
9#22610122C211yesmaximal, characteristic, complemented
10#22610120C211yesmaximal, characteristic, complemented
11#22610097C211yesmaximal, characteristic, complemented
12#22609963C211yesmaximal, characteristic, complemented
13#22609959C211yesmaximal, characteristic, complemented
14#22609829C211yesmaximal, characteristic, complemented
15C73×#1948C211yesmaximal, characteristic, complemented
16C22×#11924011C2211yescharacteristic
17C22×C8×D73C2211yescharacteristic
18C2×C4×D292C2211yescharacteristic
19C2×#14556553—21no—
20C2×#14556549C2211yescharacteristic
21C2×C4⋊C4×D73C2211yescharacteristic
22C2×C4⋊C4×D73C2211yescharacteristic
23C2×C4⋊C4×D73C2211yescharacteristic
24#17988657C418yescomplemented
25#17988626—24no—
26C2×#14556525C2211yescharacteristic
27C2×#14556524C2211yescharacteristic
28C2×#14556524C2211yescharacteristic
29C2×#14556524C2211yescharacteristic
30C2×#14556523C2211yescharacteristic
31C2×#14556522C2211yescharacteristic
32C2×#14556522C2211yescharacteristic
33C2×#14556522C2211yescharacteristic
34#106×D73—24no—
35C2×#14556503C2211yescharacteristic
36C2×#14556503C2211yescharacteristic
37C2×#14556502C2211yescharacteristic
38#17988483—21no—
39#17988478—21no—
40#17988472—21no—
41#17988465—21no—
42#17988458—21no—
43#17988458—21no—
44#17988453C2211yescharacteristic
45#17988444C2211yescharacteristic
46#17988444C2211yescharacteristic
47#17988444C2211yescharacteristic
48#17988444C2211yescharacteristic
49C4×C4⋊Dic73C2211yescharacteristic
50C4×#11924005—21no—
51#17988350C2211yescharacteristic
52#17988350C2211yescharacteristic
53#17988349C2211yescharacteristic
54#17988349C2211yescharacteristic
55C2×#106×C73C2211yescharacteristic
56C2×#106×C73C2211yescharacteristic
57C2×C4⋊C8×C73C2211yescharacteristic
58#384×C73C2211yescharacteristic
59C4×C4⋊C4×C73C2211yescharacteristic
60#340×C73C2211yescharacteristic
61#340×C73C2211yescharacteristic
62C22×D292D411yescharacteristic
63C22×C4×D73—21no—
64C22×C4×D73—21no—
65C22×C4×D73—21no—
66C22×C4×D73C2311yescharacteristic
67C22×C4×D73C2311yescharacteristic
68C2×#11924011—22no—
69C2×#11924011—22no—
70C2×#11924011C2×C414yescomplemented
71C22×#10596831C2311yescharacteristic
72C22×#10596831C2311yescharacteristic
73C2×C8×D73—22no—
74C2×C8×D73—22no—
75C2×C8×D73C2×C414yescomplemented
76C4×D292C2×C414yes—
77C4×D292Q814yes—
78#14556553—44no—
79#14556549—22no—
80#14556549—41no—
81C2×C4⋊Dic73D411yescharacteristic
82C2×C4⋊Dic73C2311yescharacteristic
83C2×C4⋊Dic73C2311yescharacteristic
84C2×C4⋊Dic73C2311yescharacteristic
85C2×C4⋊Dic73C2311yescharacteristic
86C2×#11924007—21no—
87C2×#11924007—21no—
88C2×#11924007—21no—
89C4⋊C4×D73—22no—
90C4⋊C4×D73—22no—
91C4⋊C4×D73—22no—
92C4⋊C4×D73—41no—
93C4⋊C4×D73—41no—
94C4⋊C4×D73—41no—
95C2×#11924005—21no—
96C2×#11924005—21no—
97C2×#11924005—21no—
98C2×#11924005—21no—
99C2×#11924005—21no—
100C2×#11924005D411yescharacteristic
101C2×#11924005D411yescharacteristic
102C2×C4×Dic73—21no—
103C2×C4×Dic73—21no—
104#14556525—22no—
105#14556524—22no—
106#14556524—22no—
107#14556524—41no—
108#14556523—22no—
109#14556522—22no—
110#14556522—41no—
111#14556522D414yescomplemented
112#14556503C2×C414yescomplemented
113#14556503C2×C414yescomplemented
114#14556502C2×C414yescomplemented
115#14556498—21no—
116#14556498—21no—
117#14556498—21no—
118#14556498—21no—
119#14556498—21no—
120#14556498—21no—
121#14556498—21no—
122C22×C8×C73C2311yescharacteristic
123C22×C8×C73C2311yescharacteristic
124C2×C4⋊C4×C73—21no—
125C2×C4⋊C4×C73—21no—
126C2×C4⋊C4×C73C2311yescharacteristic
127C2×C4⋊C4×C73C2311yescharacteristic
128C2×C4⋊C4×C73C2311yescharacteristic
129C2×C4⋊C4×C73C2311yescharacteristic
130C2×C42×C73—21no—
131C2×C42×C73C2311yescharacteristic
132#106×C73—22no—
133#106×C73—22no—
134C4⋊C8×C73C2×C414yescomplemented
135#95×C73—21no—
136C23×D73C2×D411yescharacteristic
137C23×D73C2×D411yescharacteristic
138C2×D292—22no—
139C2×D292—22no—
140C2×D292C4⋊C414yes—
141C22×Dic73—21no—
142C22×Dic73—21no—
143C22×Dic73—21no—
144C22×Dic73—21no—
145C22×Dic73C2×D411yescharacteristic
146C22×Dic73C2×D411yescharacteristic
147C2×C4×D73—21no—
148C2×C4×D73—21no—
149C2×C4×D73—21no—
150C2×C4×D73—21no—
151C2×C4×D73—21no—
152C2×C4×D73—21no—
153C2×C4×D73—21no—
154C2×C4×D73—21no—
155C2×C4×D73—42no—
156C2×C4×D73—42no—
157C2×C4×D73—42no—
158C2×C4×D73—42no—
159C2×C4×D73—42no—
160C2×C4×D73—42no—
161C2×C4×D73—81no—
162C2×C4×D73—81no—
163C2×C4×D73—81no—
164C2×C4×D73C22×C412yes—
165C2×C4×D73C22×C412yes—
166C2×C4×D73C2×Q812yes—
167C2×C4×D73C2×Q812yes—
168#11924011—28no—
169C2×#10596831—21no—
170C2×#10596831—21no—
171C2×#10596831C22×C412yes—
172C2×#10596831C22×C412yes—
173C2×#10596831C2×D412yes—
174C2×#10596831#4112yes—
175C8×D73—28no—
176C4⋊Dic73—21no—
177C4⋊Dic73—21no—
178C4⋊Dic73—21no—
179C4⋊Dic73—21no—
180C4⋊Dic73—21no—
181C4⋊Dic73—21no—
182C4⋊Dic73—21no—
183C4⋊Dic73C4⋊C414yes—
184C4⋊Dic73C2×D412yes—
185#11924007—42no—
186#11924007—42no—
187#11924007—42no—
188#11924005—42no—
189#11924005—42no—
190#11924005—42no—
191#11924005—42no—
192#11924005—81no—
193#11924005C4⋊C414yes—
194#11924005C4⋊C414yes—
195C4×Dic73—42no—
196C4×Dic73—42no—
197C22×C4×C73—21no—
198C22×C4×C73—21no—
199C22×C4×C73—21no—
200C22×C4×C73—21no—
201C22×C4×C73C2×D411yescharacteristic
202C22×C4×C73C2×D411yescharacteristic
203C22×C4×C73C2411yescharacteristic
204C2×C8×C73—21no—
205C2×C8×C73—21no—
206C2×C8×C73—21no—
207C2×C8×C73—21no—
208C2×C8×C73C22×C412yes—
209C2×C8×C73C22×C412yes—
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—42no—
218C4⋊C4×C73—81no—
219C4⋊C4×C73C2×D412yes—
220C42×C73—81no—
221C42×C73C22×C412yes—
222C42×C73C2×Q812yes—
223C23×C73C22×D411yescharacteristic
224C22×D73—21no—
225C22×D73—21no—
226C22×D73—21no—
227C22×D73—21no—
228C22×D73—21no—
229C22×D73—21no—
230C22×D73—21no—
231C22×D73—21no—
232C22×D73—21no—
233C22×D73—21no—
234C22×D73C2×C4⋊C412yes—
235C22×D73C2×C4⋊C412yes—
236C22×D73AGL(1,ℤ/8)12yes—
237C22×D73#13712yes—
238C2×C4×C73—21no—
239C2×C4×C73—21no—
240C2×C4×C73—21no—
241C2×C4×C73—21no—
242C2×C4×C73—22no—
243C2×C4×C73—41no—
244C2×C4×C73—41no—
245C2×C4×C73—41no—
246C2×C4×C73—41no—
247C2×C4×C73—41no—
248C2×C4×C73—41no—
249C2×C4×C73—41no—
250C2×C4×C73—41no—
251C2×C4×C73—41no—
252C2×C4×C73—41no—
253C2×C4×C73—41no—
254C2×C4×C73C2×C4⋊C412yes—
255C2×C4×C73C2×C4⋊C412yes—
256C2×C4×C73C23×C411yescharacteristic
257C2×C4×C73C22×D411yescharacteristic
258C2×C4×C73C22×Q811yescharacteristic
259C2×C4×C73C2×#4111yescharacteristic
260C2×C4×C73H(5,𝔽2)11yescharacteristic
261C2×C4×C732−1+411yescharacteristic
262C2×Dic73—21no—
263C2×Dic73—21no—
264C2×Dic73—21no—
265C2×Dic73—21no—
266C2×Dic73—22no—
267C2×Dic73—41no—
268C2×Dic73—41no—
269C2×Dic73—41no—
270C2×Dic73—41no—
271C2×Dic73—41no—
272C2×Dic73—41no—
273C2×Dic73—41no—
274C2×Dic73—41no—
275C2×Dic73—41no—
276C2×Dic73—41no—
277C2×Dic73—41no—
278C2×Dic73C2×C4⋊C412yes—
279C2×Dic73C2×C4⋊C412yes—
280D292—28no—
281C4×D73—22no—
282C4×D73—22no—
283C4×D73—22no—
284C4×D73—22no—
285C4×D73—22no—
286C4×D73—22no—
287C4×D73—22no—
288C4×D73—22no—
289C4×D73—84no—
290C4×D73—84no—
291C4×D73—84no—
292C8×C73—22no—
293C8×C73—22no—
294#10596831—22no—
295#10596831C4×D414yescomplemented
296C22×C73C22×C4⋊C411yescharacteristic
297C22×C73D4211yescharacteristic
298C22×C73#54711yescharacteristic
299C22×C73C2×AGL(1,ℤ/8)11yescharacteristic
300C22×C73C2×#13711yescharacteristic
301C22×C73#57711yescharacteristic
302C22×C73#57711yescharacteristic
303C2×D73—22no—
304C2×D73—22no—
305C2×D73—22no—
306C2×D73—22no—
307C2×D73—22no—
308C2×D73—22no—
309C2×D73—22no—
310C2×D73—22no—
311C2×D73—22no—
312C2×D73—41no—
313C2×D73—41no—
314C2×D73—41no—
315C2×D73—41no—
316C2×D73#42814yescomplemented
317C4×C73—22no—
318C4×C73—22no—
319C4×C73—42no—
320C4×C73—81no—
321C4×C73—81no—
322C4×C73—81no—
323C4×C73C2×C4×D411yescharacteristic
324C4×C73#52011yescharacteristic
325C4×C73D4×Q811yescharacteristic
326C4×C73#55411yescharacteristic
327Dic73—22no—
328Dic73—22no—
329Dic73—42no—
330Dic73—81no—
331Dic73—81no—
332Dic73—81no—
333#22659—731nomaximal, Sylow
334C2×C73D4×C4⋊C411yescharacteristic
335C2×C73C2×#42811yescharacteristic
336C2×C73#291211yescharacteristic
337C2×C73#326511yescharacteristic
338C2×C73#326611yescharacteristic
339C2×C73#334411yescharacteristic
340C2×C73#334511yescharacteristic
341D73—24no—
342D73—42no—
343C2×#435—731no—
344C2×#428—731no—
345C22×#106—731no—
346#2352—731no—
347D4×C4⋊C4—731no—
348#1949—731no—
349#1948D7311yescharacteristic, complemented
350#1854—731no—
351#1853—731no—
352#1853—731no—
353#1852—731no—
354#1847—731no—
355#1809—731no—
356#1808—731no—
357#1776—731no—
358C73#2265911yescharacteristic, complemented, Sylow
359C22×M16—731no—
360C23×C8—731no—
361C2×C4×D4—731no—
362C2×C4×D4—1461no—
363C2×#117—731no—
364C22×C4⋊C4—731no—
365C22×C4⋊C4—731no—
366C22×C4⋊C4—731no—
367#435—738no—
368#428—1464no—
369C2×#107—731no—
370C2×#107—731no—
371C2×#107—731no—
372C2×#107—731no—
373C2×#106—731no—
374C2×#106—731no—
375C2×#106—731no—
376C2×#106—731no—
377C2×#106—1464no—
378C2×#106C2×D7311yescharacteristic
379C2×#106C2×D7311yescharacteristic
380C2×C4⋊C8C2×D7311yescharacteristic
381C2×C22⋊C8—731no—
382C2×C22⋊C8—731no—
383C2×#97—731no—
384#389—1461no—
385#388—1461no—
386#387—1461no—
387#386—1461no—
388#385—1461no—
389#385—1461no—
390#384C2×D7311yescharacteristic
391#382—731no—
392#380—731no—
393#380—731no—
394#380—731no—
395#380—731no—
396C4×C4⋊C4—731no—
397C4×C4⋊C4C2×D7311yescharacteristic
398C4×C22⋊C4—1461no—
399#340—731no—
400#340—731no—
401#340—731no—
402#340—731no—
403#340C2×D7311yescharacteristic
404#340C2×D7311yescharacteristic
405C22×D4—731no—
406C23×C4—731no—
407C23×C4—731no—
408C23×C4—1461no—
409C23×C4—1461no—
410C23×C4—1461no—
411C2×M16—734no—
412C2×M16—1462no—
413C2×M16—1462no—
414C22×C8—731no—
415C22×C8—731no—
416C22×C8—734no—
417C22×C8—1462no—
418C22×C8—1462no—
419C22×C8C22×D7311yescharacteristic
420C22×C8C22×D7311yescharacteristic
421C4×D4—2924no—
422C4×D4—734no—
423C4×D4—734no—
424#117—2921no—
425#117—1462no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—2921no—
429C2×C4⋊C4—2921no—
430C2×C4⋊C4—2921no—
431C2×C4⋊C4—731no—
432C2×C4⋊C4—731no—
433C2×C4⋊C4—731no—
434C2×C4⋊C4—731no—
435C2×C4⋊C4—731no—
436C2×C4⋊C4—1462no—
437C2×C4⋊C4—1462no—
438C2×C4⋊C4—1461no—
439C2×C4⋊C4—1461no—
440C2×C4⋊C4—1461no—
441C2×C4⋊C4—1462no—
442C2×C4⋊C4C22×D7311yescharacteristic
443C2×C4⋊C4C22×D7311yescharacteristic
444C2×C4⋊C4C22×D7311yescharacteristic
445C2×C4⋊C4C22×D7311yescharacteristic
446C2×C22⋊C4—731no—
447C2×C22⋊C4—731no—
448C2×C22⋊C4—1461no—
449C2×C22⋊C4—1461no—
450C2×C22⋊C4—1461no—
451C2×C22⋊C4—1461no—
452C2×C22⋊C4—1461no—
453C2×C42—21no—
454C2×C42—1461no—
455C2×C42—1461no—
456C2×C42C22×D7311yescharacteristic
457#107—2921no—
458#107—1462no—
459#107—1462no—
460#107—1462no—
461#106—22no—
462#106—22no—
463#106—2921no—
464#106—734no—
465#106—1462no—
466#106—1462no—
467C4⋊C8C4×D7314yescomplemented
468C22⋊C8—734no—
469C22⋊C8—734no—
470#97—734no—
471#95—21no—
472#95—1461no—
473#95—1461no—
474#95—1461no—
475#95—1461no—
476#95—1461no—
477#95—1461no—
478#95—1461no—
479C24—731no—
480C24—731no—
481C2×D4—734no—
482C2×D4—1462no—
483C2×D4—1462no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—2922no—
489C22×C4—2922no—
490C22×C4—2922no—
491C22×C4—2922no—
492C22×C4—2922no—
493C22×C4—2922no—
494C22×C4—5841no—
495C22×C4—5841no—
496C22×C4—5841no—
497C22×C4—731no—
498C22×C4—731no—
499C22×C4—732no—
500C22×C4—732no—
501C22×C4—732no—
502C22×C4—732no—
503C22×C4—1461no—
504C22×C4—1461no—
505C22×C4—1461no—
506C22×C4—1461no—
507C22×C4—1461no—
508C22×C4—1461no—
509C22×C4—1461no—
510C22×C4—1461no—
511C22×C4—1461no—
512C22×C4—1461no—
513C22×C4—1461no—
514C22×C4—1461no—
515C22×C4D4×D7311yescharacteristic
516C22×C4D4×D7311yescharacteristic
517C22×C4C23×D7311yescharacteristic
518M16—1468no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—732no—
524C2×C8—732no—
525C2×C8—732no—
526C2×C8—732no—
527C2×C8—1468no—
528C2×C8—1461no—
529C2×C8—1461no—
530C2×C8C2×C4×D7312yes—
531C2×C8C2×C4×D7312yes—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—42no—
540C4⋊C4—81no—
541C4⋊C4—2922no—
542C4⋊C4—2922no—
543C4⋊C4—2922no—
544C4⋊C4—734no—
545C4⋊C4—732no—
546C4⋊C4—1461no—
547C4⋊C4—1461no—
548C4⋊C4—1461no—
549C4⋊C4—1461no—
550C4⋊C4—1461no—
551C4⋊C4—1461no—
552C4⋊C4—1461no—
553C4⋊C4D4×D7312yes—
554C22⋊C4—2922no—
555C22⋊C4—2922no—
556C22⋊C4—2922no—
557C22⋊C4—2922no—
558C22⋊C4—5841no—
559C22⋊C4—734no—
560C22⋊C4—734no—
561C42—81no—
562C42—2922no—
563C42—2922no—
564C42C2×C4×D7312yes—
565C42Q8×D7312yes—
566C23—732no—
567C23—732no—
568C23—732no—
569C23—732no—
570C23—1461no—
571C23—1461no—
572C23—1461no—
573C23—1461no—
574C23—1461no—
575C23—1461no—
576C23—1461no—
577C23—1461no—
578C23—1461no—
579C23—1461no—
580C23C2×D4×D7311yescharacteristic
581D4—1468no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—22no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—2921no—
599C2×C4—2921no—
600C2×C4—2921no—
601C2×C4—2921no—
602C2×C4—2921no—
603C2×C4—2921no—
604C2×C4—2921no—
605C2×C4—2921no—
606C2×C4—2921no—
607C2×C4—2921no—
608C2×C4—2921no—
609C2×C4—5844no—
610C2×C4—5844no—
611C2×C4—5844no—
612C2×C4—732no—
613C2×C4—732no—
614C2×C4—1462no—
615C2×C4—1461no—
616C2×C4—1461no—
617C2×C4—1461no—
618C2×C4—1461no—
619C2×C4—1462no—
620C2×C4—1462no—
621C2×C4—1462no—
622C2×C4—1462no—
623C2×C4—1462no—
624C2×C4—1462no—
625C2×C4—1462no—
626C2×C4—1462no—
627C2×C4C4⋊C4×D7312yes—
628C2×C4C4⋊C4×D7312yes—
629C2×C4C22×C4×D7311yescharacteristic
630C2×C4C2×D4×D7311yescharacteristic
631C2×C4C2×Q8×D7311yescharacteristic
632C2×C4#41×D7311yescharacteristic
633C2×C4#1455663711yescharacteristic
634C2×C4#1455663911yescharacteristic
635C8—22no—
636C8—22no—
637C8—734no—
638C8—1462no—
639C22—2921no—
640C22—2921no—
641C22—2921no—
642C22—2921no—
643C22—734no—
644C22—1462no—
645C22—1462no—
646C22—1462no—
647C22—1462no—
648C22—1462no—
649C22—1462no—
650C22—1462no—
651C22—1462no—
652C22—1462no—
653C22C2×C4⋊C4×D7311yescharacteristic
654C22#1798922111yescharacteristic
655C22#1798923911yescharacteristic
656C22AGL(1,ℤ/8)×D7311yescharacteristic
657C22#137×D7311yescharacteristic
658C22#1798939311yescharacteristic
659C22#1798939311yescharacteristic
660C4—22no—
661C4—22no—
662C4—42no—
663C4—81no—
664C4—81no—
665C4—81no—
666C4—2922no—
667C4—5841no—
668C4—5841no—
669C4—5841no—
670C4—1462no—
671C4—1462no—
672C4C4×D4×D7311yescharacteristic
673C4#1798906911yescharacteristic
674C4#1798925211yescharacteristic
675C4#1798929311yescharacteristic
676C2—2922no—
677C2—1464no—
678C2#2261283211yescharacteristic
679C2#428×D7311yescharacteristic
680C2#2261852211yescharacteristic
681C2#2262142111yescharacteristic
682C2#2262144711yescharacteristic
683C2#2262238311yescharacteristic
684C2#2262240811yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutatorC2×C4×C73C23×C4
FrattiniC22×C4C23×D73
FittingC73×#1948C2
socleC23×C73C22×D4
prime radicalC22×D292D4
cosocleC22×C4×C73C24
hypercenter#1948D73
hypocenterC73#22659
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1948

Complements

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

NH ≅ G/Ntype
2. C2×#17988626C2semidirect
3. C2×#106×D73C2semidirect
6. #22610701C2semidirect
7. #22610129C2semidirect
8. #22610125C2semidirect
9. #22610122C2semidirect
10. #22610120C2semidirect
11. #22610097C2semidirect
12. #22609963C2semidirect
13. #22609959C2semidirect
14. #22609829C2semidirect
15. C73×#1948C2semidirect
24. #17988657C4semidirect
70. C2×#11924011C2×C4semidirect
75. C2×C8×D73C2×C4semidirect
111. #14556522D4semidirect
112. #14556503C2×C4semidirect
113. #14556503C2×C4semidirect
114. #14556502C2×C4semidirect
134. C4⋊C8×C73C2×C4semidirect
295. #10596831C4×D4semidirect
316. C2×D73#428semidirect
349. #1948D73semidirect
358. C73#22659semidirect
467. C4⋊C8C4×D73semidirect

Maximal subgroups

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

subgroupindex
C2×#179886572
C2×#179886262
C2×#106×D732
#226128632
#226128312
#226107012
#226101292
#226101252
#226101222
#226101202
#226100972
#226099632
#226099592
#226098292
C73×#19482
#2265973