Finite Group Databasebeta

← #33053760

Subgroups — #33053760

Order 18688.

1074 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
1#22623770C211yesmaximal, characteristic
2#22618960C211yesmaximal, characteristic, complemented
3#22608502C211yesmaximal, characteristic, complemented
4#22608498C211yesmaximal, characteristic, complemented
5#22608472C212yesmaximal, complemented
6#22608467C212yesmaximal, complemented
7#22608454C212yesmaximal, complemented
8#22608433C212yesmaximal, complemented
9C2×#17988323C211yesmaximal, characteristic, complemented
10C2×#17988320C211yesmaximal, characteristic, complemented
11C73×#2349C211yesmaximal, characteristic, complemented
12#17989286—22no—
13#17989283C412yescomplemented
14#17989277C412yescomplemented
15#17989266—22no—
16#17989246C412yescomplemented
17#17989233C412yescomplemented
18#17989184—21no—
19#17989175—21no—
20#17989146—21no—
21#17989121C2212yes—
22#17989098C2212yes—
23C2×#14556570C2211yescharacteristic
24C2×#14556565C2211yescharacteristic
25#17989060—21no—
26#17988659—22no—
27#17988659—22no—
28#17988644C2212yescomplemented
29#17988551C2212yescomplemented
30C2×C22⋊#10596831C2211yescharacteristic
31C2×C22⋊#10596831C2211yescharacteristic
32#17988323C2212yescomplemented
33#17988323C2212yescomplemented
34#17988323C2212yescomplemented
35#17988323C2212yescomplemented
36#17988320C2212yes—
37#17988320C2212yes—
38#17988320C2212yes—
39#17988320C2212yes—
40C2×C4×D4×C73—21no—
41C2×C4×D4×C73C2211yescharacteristic
42#389×C73—21no—
43#385×C73—21no—
44#385×C73—21no—
45#382×C73C2211yescharacteristic, complemented
46#380×C73C2211yescharacteristic
47#380×C73C2211yescharacteristic, complemented
48C4×C4⋊C4×C73C2211yescharacteristic, complemented
49C2×#95×C73C2211yescharacteristic
50C2×#95×C73C2211yescharacteristic, complemented
51C2×#11924028C2×C412yescomplemented
52C22×Dic146C2×C411yescharacteristic, complemented
53C22×D292C2×C411yescharacteristic, complemented
54C22×C22⋊D73—21no—
55C2×#11924012—22no—
56C22×#10596831—21no—
57C22×#10596831—21no—
58#14556586—22no—
59#14556585—22no—
60#14556584—22no—
61#14556583C2×C412yescomplemented
62#14556581—22no—
63#14556579C2×C412yescomplemented
64#14556577—22no—
65#14556576—22no—
66#14556574—22no—
67#14556574—22no—
68#14556573—22no—
69#14556572—22no—
70#14556570—21no—
71#14556570—21no—
72#14556570C2×C412yescomplemented
73#14556570C2×C412yescomplemented
74#14556570C2312yes—
75#14556569—22no—
76#14556565—21no—
77#14556565—21no—
78#14556565C2×C412yescomplemented
79#14556565C2×C412yescomplemented
80#14556565C2312yes—
81#14556564—22no—
82#14556563—22no—
83#14556563—22no—
84#14556560—22no—
85#14556559—22no—
86C4×Dic146C2×C412yescomplemented
87C4×D292C2×C412yescomplemented
88C4×C22⋊D73—22no—
89C4×C22⋊D73—22no—
90C4×C22⋊D73—22no—
91#14556551—22no—
92#14556551—22no—
93#14556550C2×C412yescomplemented
94#14556548—22no—
95#14556547—22no—
96C2×C4⋊Dic73C2×C411yescharacteristic, complemented
97C2×C4⋊Dic73C2×C411yescharacteristic, complemented
98C2×#11924007—21no—
99C2×C22⋊Dic73—21no—
100C2×#11924005—21no—
101C22⋊C4×D73—22no—
102C4⋊#10596831—22no—
103C22⋊#10596831—21no—
104C22⋊#10596831—21no—
105C22⋊#10596831—22no—
106C22⋊#10596831C2312yes—
107C22⋊#10596831C2312yes—
108#14556502—22no—
109C22×D4×C73D411yescharacteristic
110C23×C4×C73—21no—
111C23×C4×C73—21no—
112C23×C4×C73C2311yescharacteristic
113C23×C4×C73C2311yescharacteristic
114C4×D4×C73—44no—
115C4×D4×C73C2×C412yes—
116C4×D4×C73C2×C412yes—
117C4×D4×C73D412yes—
118C4×D4×C73D412yes—
119C2×C4⋊C4×C73—21no—
120C2×C4⋊C4×C73—21no—
121C2×C4⋊C4×C73—21no—
122C2×C4⋊C4×C73—21no—
123C2×C4⋊C4×C73D411yescharacteristic
124C2×C22⋊C4×C73—21no—
125C2×C22⋊C4×C73—21no—
126C2×C22⋊C4×C73D411yescharacteristic
127C2×C22⋊C4×C73D411yescharacteristic
128C2×C42×C73—21no—
129C2×C42×C73C2311yescharacteristic
130#95×C73—21no—
131#95×C73—21no—
132#95×C73—21no—
133#95×C73C2311yescharacteristic
134#95×C73C2311yescharacteristic
135#95×C73C2311yescharacteristic
136#95×C73C2311yescharacteristic
137C23×D73—21no—
138#11924028—82no—
139C2×Dic146—21no—
140C2×Dic146—81no—
141C2×Dic146C22×C412yes—
142C2×D292—21no—
143C2×D292—81no—
144C2×D292C22×C412yes—
145C2×C22⋊D73—22no—
146C2×C22⋊D73—22no—
147C2×C22⋊D73—22no—
148C2×C22⋊D73—22no—
149C2×C22⋊D73—42no—
150C2×C22⋊D73—42no—
151C22×Dic73—21no—
152C22×Dic73—21no—
153C22×Dic73—21no—
154C2×C4×D73—22no—
155C2×C4×D73—22no—
156#11924012—82no—
157C2×#10596831—22no—
158C2×#10596831—22no—
159C2×#10596831—81no—
160C2×#10596831—81no—
161C4⋊Dic73—21no—
162C4⋊Dic73—21no—
163C4⋊Dic73C22×C412yes—
164C4⋊Dic73C22×C412yes—
165#11924007—22no—
166#11924007—22no—
167#11924007—22no—
168#11924007—22no—
169#11924007—22no—
170#11924007—22no—
171C22⋊Dic73—22no—
172C22⋊Dic73—22no—
173C22⋊Dic73—22no—
174C22⋊Dic73—22no—
175#11924005—22no—
176#11924005—22no—
177#11924005—22no—
178#11924005—22no—
179#11924005—22no—
180#11924005—22no—
181C4×Dic73—22no—
182C4×Dic73—22no—
183C24×C73C2×D411yescharacteristic
184C24×C73C2×D411yescharacteristic
185C2×D4×C73—22no—
186C2×D4×C73—22no—
187C2×D4×C73C22⋊C412yes—
188C2×D4×C73C22⋊C412yes—
189C22×C4×C73—21no—
190C22×C4×C73—21no—
191C22×C4×C73—21no—
192C22×C4×C73—21no—
193C22×C4×C73—42no—
194C22×C4×C73—42no—
195C22×C4×C73—42no—
196C22×C4×C73—42no—
197C22×C4×C73—81no—
198C22×C4×C73—81no—
199C22×C4×C73—81no—
200C22×C4×C73—81no—
201C22×C4×C73C22×C411yescharacteristic
202C22×C4×C73C22×C411yescharacteristic
203C22×C4×C73C22×C412yes—
204C22×C4×C73C2×D411yescharacteristic
205C22×C4×C73C2×D411yescharacteristic
206C22×C4×C73C2×D411yescharacteristic
207C22×C4×C73C2×D411yescharacteristic
208C22×C4×C73C2×D411yescharacteristic
209C22×C4×C73C2×D411yescharacteristic
210C22×C4×C73C2×D412yes—
211C22×C4×C73C2411yescharacteristic
212C4⋊C4×C73—42no—
213C4⋊C4×C73—42no—
214C4⋊C4×C73—81no—
215C4⋊C4×C73—81no—
216C4⋊C4×C73C22⋊C412yes—
217C4⋊C4×C73C22⋊C412yes—
218C22⋊C4×C73—42no—
219C22⋊C4×C73—42no—
220C22⋊C4×C73C22⋊C412yes—
221C22⋊C4×C73C22⋊C412yes—
222C22⋊C4×C73C22⋊C412yes—
223C22⋊C4×C73C22⋊C412yes—
224C42×C73—42no—
225C42×C73C22×C412yes—
226C42×C73C2×D412yes—
227C23×C73—21no—
228C23×C73—21no—
229C23×C73—41no—
230C23×C73—41no—
231C23×C73—41no—
232C23×C73—41no—
233C23×C73C2×C22⋊C412yes—
234C23×C73C2×C22⋊C411yescharacteristic
235C23×C73C2×C22⋊C411yescharacteristic
236C23×C73AGL(1,ℤ/8)12yes—
237C23×C73#13712yes—
238C23×C73C22×D411yescharacteristic
239C22×D73—22no—
240C22×D73—42no—
241C22×D73—81no—
242C22×D73—81no—
243D4×C73—24no—
244D4×C73—24no—
245C2×C4×C73—21no—
246C2×C4×C73—21no—
247C2×C4×C73—22no—
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×C73—42no—
255C2×C4×C73—41no—
256C2×C4×C73—41no—
257C2×C4×C73—42no—
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—41no—
267C2×C4×C73—41no—
268C2×C4×C73—41no—
269C2×C4×C73—84no—
270C2×C4×C73—84no—
271C2×C4×C73C2×C22⋊C412yes—
272C2×C4×C73C2×C22⋊C412yes—
273C2×C4×C73C2×C22⋊C412yes—
274C2×C4×C73C2×C22⋊C411yescharacteristic
275C2×C4×C73C2×C22⋊C411yescharacteristic
276C2×C4×C73C23×C411yescharacteristic
277C2×C4×C73C22×D411yescharacteristic
278C22⋊D73—42no—
279C22⋊D73—42no—
280C22⋊D73—44no—
281C22⋊D73—82no—
282C22⋊D73—82no—
283C2×Dic73—22no—
284C2×Dic73—22no—
285C2×Dic73—22no—
286C2×Dic73—42no—
287C2×Dic73—81no—
288C2×Dic73—81no—
289D292—42no—
290D292—81no—
291C4×D73—82no—
292C4×D73—82no—
293Dic146—42no—
294Dic146—81no—
295#10596831—42no—
296#10596831—42no—
297C22×C73—21no—
298C22×C73—21no—
299C22×C73—21no—
300C22×C73—21no—
301C22×C73—21no—
302C22×C73—21no—
303C22×C73—22no—
304C22×C73—22no—
305C22×C73—22no—
306C22×C73—42no—
307C22×C73—42no—
308C22×C73—42no—
309C22×C73—42no—
310C22×C73#41712yes—
311C22×C73#41712yes—
312C22×C73C22×C22⋊C411yescharacteristic
313C22×C73C2×AGL(1,ℤ/8)11yescharacteristic
314C22×C73C2×#13711yescharacteristic
315C2×D73—42no—
316C2×D73—42no—
317C2×D73—42no—
318C2×D73—162no—
319C4×C73—21no—
320C4×C73—21no—
321C4×C73—21no—
322C4×C73—22no—
323C4×C73—21no—
324C4×C73—22no—
325C4×C73—22no—
326C4×C73—42no—
327C4×C73—81no—
328C4×C73—81no—
329C4×C73—81no—
330Dic73—42no—
331Dic73—42no—
332Dic73—42no—
333#17622—731nomaximal, Sylow
334C2×C73—21no—
335C2×C73—22no—
336C2×C73—21no—
337C2×C73—22no—
338C2×C73—42no—
339C2×C73#288311yescharacteristic
340C2×C73C2×#41711yescharacteristic
341C2×C73#290111yescharacteristic
342D73—82no—
343#3505—731no—
344#2973—731no—
345#2349D7311yescharacteristic, complemented
346#1520—731no—
347#1519—731no—
348#1513—732no—
349#1512—732no—
350#1509—732no—
351#1504—732no—
352C2×#328—731no—
353C2×#327—731no—
354C73#1762211yescharacteristic, complemented, Sylow
355#553—732no—
356#553—1462no—
357#552—732no—
358#551—1462no—
359#548—732no—
360#546—732no—
361#539—1461no—
362#538—1461no—
363#534—1461no—
364#529—732no—
365#525—732no—
366C2×C22⋊Q8—731no—
367C2×#121—731no—
368#518—1461no—
369C2×C4×D4—21no—
370C2×C4×D4C2×D7311yescharacteristic
371#435—1462no—
372#435—1462no—
373#432—732no—
374#407—732no—
375C2×C22⋊C8—731no—
376C2×C22⋊C8—731no—
377#389—21no—
378#385—21no—
379#385—21no—
380#382C2×D7311yescharacteristic, complemented
381#380C2×D7311yescharacteristic
382#380C2×D7311yescharacteristic, complemented
383C4×C4⋊C4C2×D7311yescharacteristic, complemented
384C2×#95C2×D7311yescharacteristic
385C2×#95C2×D7311yescharacteristic, complemented
386#328—732no—
387#328—732no—
388#328—732no—
389#328—732no—
390#327—732no—
391#327—732no—
392#327—732no—
393#327—732no—
394C2×#41—732no—
395C22×Q8—731no—
396C22×D4—731no—
397C22×D4—1461no—
398C22×D4C22⋊D7311yescharacteristic
399C23×C4—21no—
400C23×C4—21no—
401C23×C4C22×D7311yescharacteristic
402C23×C4C22×D7311yescharacteristic
403C2×M16—1462no—
404C22×C8—1461no—
405C22×C8—1461no—
406#126—1462no—
407#126—1462no—
408#126—1462no—
409#125—732no—
410#125—1462no—
411#124—732no—
412#124—1462no—
413#123—1462no—
414#123—1462no—
415#123—1462no—
416#123—1462no—
417#123—1462no—
418C22⋊Q8—732no—
419C22⋊Q8—732no—
420C22⋊Q8—732no—
421C22⋊Q8—1461no—
422C22⋊Q8—1461no—
423C22⋊Q8—1462no—
424#121—732no—
425#121—732no—
426#121—732no—
427#121—1462no—
428#121—1462no—
429#121—1461no—
430#121—1461no—
431#121—1462no—
432#120—1462no—
433#120—1462no—
434C4×Q8—732no—
435C4×D4—44no—
436C4×D4—732no—
437C4×D4—1462no—
438C4×D4—1462no—
439C4×D4—1462no—
440C4×D4—1462no—
441C4×D4—1462no—
442C4×D4C4×D7312yes—
443C4×D4C4×D7312yes—
444C4×D4D29212yes—
445C4×D4D29212yes—
446#117—732no—
447#117—1462no—
448#117—1462no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—731no—
454C2×C4⋊C4—731no—
455C2×C4⋊C4—1461no—
456C2×C4⋊C4C22⋊D7311yescharacteristic
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—1461no—
460C2×C22⋊C4—1461no—
461C2×C22⋊C4—1462no—
462C2×C22⋊C4C22⋊D7311yescharacteristic
463C2×C22⋊C4C22⋊D7311yescharacteristic
464C2×C42—21no—
465C2×C42C22×D7311yescharacteristic
466C4⋊C8—1462no—
467C22⋊C8—732no—
468C22⋊C8—732no—
469C22⋊C8—1461no—
470C22⋊C8—1461no—
471C22⋊C8—1462no—
472#97—1462no—
473#95—21no—
474#95—21no—
475#95—21no—
476#95C22×D7311yescharacteristic
477#95C22×D7311yescharacteristic
478#95C22×D7311yescharacteristic
479#95C22×D7311yescharacteristic
480C24—1461no—
481C24C2×C22⋊D7311yescharacteristic
482C24C2×C22⋊D7311yescharacteristic
483#41—5842no—
484C2×Q8—5841no—
485C2×Q8—732no—
486C2×Q8—1461no—
487C2×D4—22no—
488C2×D4—22no—
489C2×D4—2922no—
490C2×D4—2922no—
491C2×D4—5841no—
492C2×D4—732no—
493C2×D4—1462no—
494C2×D4—1462no—
495C2×D4—1462no—
496C2×D4—1462no—
497C2×D4—1461no—
498C2×D4#1192400512yes—
499C2×D4#1192400512yes—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—81no—
509C22×C4—81no—
510C22×C4—81no—
511C22×C4—81no—
512C22×C4—1461no—
513C22×C4—1461no—
514C22×C4—1461no—
515C22×C4—1462no—
516C22×C4—1462no—
517C22×C4C2×C4×D7311yescharacteristic
518C22×C4C2×C4×D7311yescharacteristic
519C22×C4C2×C4×D7312yes—
520C22×C4C2×C22⋊D7311yescharacteristic
521C22×C4C2×C22⋊D7311yescharacteristic
522C22×C4C2×C22⋊D7311yescharacteristic
523C22×C4C2×C22⋊D7311yescharacteristic
524C22×C4C2×D29211yescharacteristic
525C22×C4C2×D29211yescharacteristic
526C22×C4C2×D29212yes—
527C22×C4C23×D7311yescharacteristic
528M16—5842no—
529C2×C8—5841no—
530C2×C8—5841no—
531C2×C8—1462no—
532C2×C8—1462no—
533C4⋊C4—42no—
534C4⋊C4—42no—
535C4⋊C4—81no—
536C4⋊C4—81no—
537C4⋊C4—732no—
538C4⋊C4—732no—
539C4⋊C4—1462no—
540C4⋊C4—1462no—
541C4⋊C4—1462no—
542C4⋊C4—1462no—
543C4⋊C4—1462no—
544C4⋊C4—1461no—
545C4⋊C4—1461no—
546C4⋊C4—1462no—
547C4⋊C4#1192400512yes—
548C4⋊C4#1192400512yes—
549C22⋊C4—42no—
550C22⋊C4—42no—
551C22⋊C4—1462no—
552C22⋊C4—1462no—
553C22⋊C4—1462no—
554C22⋊C4—1462no—
555C22⋊C4—1462no—
556C22⋊C4—1462no—
557C22⋊C4—1462no—
558C22⋊C4—1462no—
559C22⋊C4—1462no—
560C22⋊C4—1462no—
561C22⋊C4#1192400512yes—
562C22⋊C4#1192400512yes—
563C22⋊C4#1192400512yes—
564C22⋊C4#1192400512yes—
565C42—42no—
566C42—1462no—
567C42—1462no—
568C42C2×C4×D7312yes—
569C42C2×D29212yes—
570C23—21no—
571C23—21no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—41no—
576C23—2922no—
577C23—5841no—
578C23—5841no—
579C23—1462no—
580C23C2×#1192400512yes—
581C23C2×#1192400511yescharacteristic
582C23C2×#1192400511yescharacteristic
583C23#1455661712yes—
584C23#1455662212yes—
585C23C22×C22⋊D7311yescharacteristic
586Q8—2922no—
587Q8—5841no—
588D4—24no—
589D4—24no—
590D4—2922no—
591D4—2922no—
592D4—2924no—
593D4—2922no—
594D4—5841no—
595D4—5842no—
596D4—5842no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—22no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—42no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—42no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—84no—
622C2×C4—84no—
623C2×C4—2922no—
624C2×C4—5842no—
625C2×C4—5842no—
626C2×C4—5841no—
627C2×C4—5841no—
628C2×C4—1462no—
629C2×C4—1462no—
630C2×C4—1462no—
631C2×C4C2×#1192400512yes—
632C2×C4C2×#1192400512yes—
633C2×C4C2×#1192400512yes—
634C2×C4C2×#1192400511yescharacteristic
635C2×C4C2×#1192400511yescharacteristic
636C2×C4C22×C4×D7311yescharacteristic
637C2×C4C22×D29211yescharacteristic
638C8—2922no—
639C8—2922no—
640C22—21no—
641C22—21no—
642C22—21no—
643C22—21no—
644C22—21no—
645C22—21no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—42no—
650C22—42no—
651C22—42no—
652C22—42no—
653C22—2922no—
654C22—2922no—
655C22—2922no—
656C22—11682no—
657C22#1798858612yes—
658C22#1798858612yes—
659C22C22×#1192400511yescharacteristic
660C22C2×#1455661711yescharacteristic
661C22C2×#1455662211yescharacteristic
662C4—21no—
663C4—21no—
664C4—22no—
665C4—21no—
666C4—21no—
667C4—22no—
668C4—22no—
669C4—42no—
670C4—81no—
671C4—81no—
672C4—81no—
673C4—2922no—
674C4—2922no—
675C4—2922no—
676C2—21no—
677C2—21no—
678C2—22no—
679C2—22no—
680C2—42no—
681C2—5842no—
682C2#2261839111yescharacteristic
683C2C2×#1798858611yescharacteristic
684C2#2261847911yescharacteristic
subgroupG/H
centerC22C22×#11924005
commutatorC2×C4×C73C23×C4
FrattiniC22×C4C23×D73
FittingC73×#2349C2
socleC22×C73C22×C22⋊C4
prime radical#22623770C2
cosocleC22×C4×C73C24
hypercenter#2349D73
hypocenterC73#17622
LCSG ▷ C2×C4×C73 ▷ C22×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #2349

Complements

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

NH ≅ G/Ntype
2. #22618960C2semidirect
3. #22608502C2semidirect
4. #22608498C2semidirect
5. #22608472C2semidirect
6. #22608467C2semidirect
7. #22608454C2semidirect
8. #22608433C2semidirect
9. C2×#17988323C2semidirect
10. C2×#17988320C2semidirect
11. C73×#2349C2semidirect
13. #17989283C4semidirect
14. #17989277C4semidirect
16. #17989246C4semidirect
17. #17989233C4semidirect
28. #17988644C22semidirect
29. #17988551C22semidirect
32. #17988323C22semidirect
33. #17988323C22semidirect
34. #17988323C22semidirect
35. #17988323C22semidirect
45. #382×C73C22semidirect
47. #380×C73C22semidirect
48. C4×C4⋊C4×C73C22semidirect
50. C2×#95×C73C22semidirect
51. C2×#11924028C2×C4semidirect
52. C22×Dic146C2×C4semidirect
53. C22×D292C2×C4semidirect
61. #14556583C2×C4semidirect
63. #14556579C2×C4semidirect
72. #14556570C2×C4semidirect
73. #14556570C2×C4semidirect
78. #14556565C2×C4semidirect
79. #14556565C2×C4semidirect
86. C4×Dic146C2×C4semidirect
87. C4×D292C2×C4semidirect
93. #14556550C2×C4semidirect
96. C2×C4⋊Dic73C2×C4semidirect
97. C2×C4⋊Dic73C2×C4semidirect
345. #2349D73semidirect
354. C73#17622semidirect
380. #382C2×D73semidirect
382. #380C2×D73semidirect
383. C4×C4⋊C4C2×D73semidirect
385. C2×#95C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226237702
#226189602
#226085022
#226084982
#226084722
#226084672
#226084542
#226084332
C2×#179883232
C2×#179883202
C73×#23492
#1762273