Finite Group Databasebeta

← #29709508

Subgroups — #29709508

Order 15616.

932 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×#11758199C211yesmaximal, characteristic, complemented
2C2×#16839823C211yesmaximal, characteristic, complemented
3#21448512C211yesmaximal, characteristic, complemented
4#21447315C211yesmaximal, characteristic, complemented
5#21447250C211yesmaximal, characteristic, complemented
6#21447207C211yesmaximal, characteristic, complemented
7#21447204C211yesmaximal, characteristic, complemented
8#21447129C211yesmaximal, characteristic, complemented
9#21447001C211yesmaximal, characteristic, complemented
10#21446998C211yesmaximal, characteristic, complemented
11#21446815C211yesmaximal, characteristic
12C4×#14519710C211yesmaximal, characteristic, complemented
13#21445647C211yesmaximal, characteristic, complemented
14#21445644C211yesmaximal, characteristic, complemented
15C61×#2324C211yesmaximal, characteristic, complemented
16C22×#11758199C2211yescharacteristic
17C2×#14519751C2211yescharacteristic
18C2×C4×D244C2211yescharacteristic
19C4×#11758199—24no—
20#16839823—24no—
21C2×#14519710C2211yescharacteristic
22C2×#14519710C2211yescharacteristic
23C2×#14519710C2211yescharacteristic
24C2×C4⋊#92418C2211yescharacteristic
25C2×C4⋊#92418C2211yescharacteristic
26C2×#14519698C2211yescharacteristic
27C2×#14519698C2211yescharacteristic
28C2×#14519698C2211yescharacteristic
29C2×#14519697C2211yescharacteristic
30C2×#14519697C2211yescharacteristic
31C2×#14519697C2211yescharacteristic
32C2×C22⋊#92418C2211yescharacteristic
33C2×C22⋊#92418C2211yescharacteristic
34C2×#14519688C2211yescharacteristic
35C2×C4×#92418C2211yescharacteristic
36#16839664C2211yescharacteristic
37#16839662—21no—
38#16839660C2211yescharacteristic
39#16839652—21no—
40#16839638—21no—
41#16839633—21no—
42#16839622C2211yescharacteristic
43C4×C4⋊Dic61C2211yescharacteristic
44#16839524C2211yescharacteristic
45#16839524C2211yescharacteristic
46#16839524C2211yescharacteristic
47#16839524C2211yescharacteristic
48#16839524C2211yescharacteristic
49#16839524C2211yescharacteristic
50C2×#121×C61C2211yescharacteristic
51C2×C4×D4×C61C2211yescharacteristic
52C2×#117×C61C2211yescharacteristic
53C61×#390—21no—
54C61×#390C2211yescharacteristic
55C61×#389C2211yescharacteristic
56C61×#388—21no—
57C61×#386—21no—
58C61×#385—21no—
59C61×#380C2211yescharacteristic
60C4×C4⋊C4×C61C2211yescharacteristic
61C22×D244C2311yescharacteristic
62C22×C22⋊D61—21no—
63C22×C4×D61—21no—
64C2×#11758199—22no—
65C2×#11758199—22no—
66C2×#11758199—22no—
67C22×#92418C2311yescharacteristic
68C22×#92418C2311yescharacteristic
69C22×#92418C2311yescharacteristic
70C22×#92418C2311yescharacteristic
71#14519751—22no—
72#14519751—22no—
73C4×D244—22no—
74C4×D244—22no—
75C2×C4⋊Dic61C2311yescharacteristic
76C2×C4⋊Dic61C2311yescharacteristic
77C2×C4⋊Dic61C2311yescharacteristic
78C2×#11758196—21no—
79C2×C22⋊Dic61—21no—
80C2×#11758198—21no—
81C2×#11758198—21no—
82C2×#11758198—21no—
83C2×#11758198—21no—
84C2×C4×Dic61—21no—
85#14519710—22no—
86#14519710—22no—
87#14519710—22no—
88C4⋊#92418—22no—
89C4⋊#92418—22no—
90#14519698—22no—
91#14519698—22no—
92#14519698—22no—
93#14519697—22no—
94#14519697—22no—
95#14519697—22no—
96C22⋊#92418—22no—
97C22⋊#92418—22no—
98#14519688—22no—
99C4×#92418D414yescomplemented
100#14519684—21no—
101#14519684—21no—
102#14519684—21no—
103C22×D4×C61—21no—
104C22×D4×C61C2311yescharacteristic
105C23×C4×C61—21no—
106C23×C4×C61C2311yescharacteristic
107#121×C61—22no—
108#121×C61—22no—
109C4×D4×C61—22no—
110C4×D4×C61—22no—
111#117×C61—22no—
112#117×C61—22no—
113C2×C4⋊C4×C61—21no—
114C2×C4⋊C4×C61D411yescharacteristic
115C2×C4⋊C4×C61D411yescharacteristic
116C2×C4⋊C4×C61C2311yescharacteristic
117C2×C4⋊C4×C61C2311yescharacteristic
118C2×C4⋊C4×C61C2311yescharacteristic
119C2×C22⋊C4×C61—21no—
120C2×C22⋊C4×C61—21no—
121C2×C22⋊C4×C61—21no—
122C2×C22⋊C4×C61—21no—
123C2×C22⋊C4×C61—21no—
124C2×C22⋊C4×C61D411yescharacteristic
125C2×C22⋊C4×C61D411yescharacteristic
126C2×C42×C61—21no—
127C2×C42×C61C2311yescharacteristic
128C2×C42×C61C2311yescharacteristic
129#95×C61—21no—
130#95×C61—21no—
131#95×C61—21no—
132C24×C61—21no—
133C24×C61C2×D411yescharacteristic
134C23×D61—21no—
135C2×D4×C61—24no—
136C2×D4×C61—21no—
137C2×D4×C61—21no—
138C2×D4×C61—21no—
139C2×D4×C61—21no—
140C2×D4×C61—21no—
141C2×D4×C61—81no—
142C2×D4×C61—81no—
143C2×D4×C61#4112yes—
144C22×C4×C61—21no—
145C22×C4×C61—21no—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61—21no—
149C22×C4×C61—21no—
150C22×C4×C61—21no—
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61—42no—
154C22×C4×C61—81no—
155C22×C4×C61—81no—
156C22×C4×C61C2×D411yescharacteristic
157C22×C4×C61C2×D411yescharacteristic
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2×D411yescharacteristic
161C22×C4×C61C2411yescharacteristic
162C2×C22⋊D61—24no—
163C2×C22⋊D61—81no—
164C2×C22⋊D61—81no—
165C22×Dic61—21no—
166C22×Dic61—21no—
167C22×Dic61—21no—
168C2×D244—21no—
169C2×D244—21no—
170C2×D244—21no—
171C2×D244—21no—
172C2×D244—21no—
173C2×D244#4112yes—
174C2×C4×D61—42no—
175C2×C4×D61—81no—
176C2×C4×D61—81no—
177C4⋊C4×C61—22no—
178C4⋊C4×C61—22no—
179C4⋊C4×C61—21no—
180C4⋊C4×C61—21no—
181C4⋊C4×C61—21no—
182C4⋊C4×C61—21no—
183C4⋊C4×C61—21no—
184C4⋊C4×C61—81no—
185C4⋊C4×C61#4112yes—
186C22⋊C4×C61—24no—
187C22⋊C4×C61—22no—
188C22⋊C4×C61—22no—
189C22⋊C4×C61—42no—
190C22⋊C4×C61—81no—
191C22⋊C4×C61—81no—
192C22⋊C4×C61—81no—
193C42×C61—21no—
194C42×C61—21no—
195C42×C61—81no—
196C42×C61C2×D412yes—
197C42×C61#4112yes—
198C22⋊Dic61—81no—
199#11758199—28no—
200#11758198—24no—
201#11758198—42no—
202#11758198—81no—
203#11758198—81no—
204C4⋊Dic61—21no—
205C4⋊Dic61—21no—
206C4⋊Dic61—21no—
207C4⋊Dic61—21no—
208C4⋊Dic61—21no—
209C4⋊Dic61#4112yes—
210#11758196—81no—
211C4×Dic61—81no—
212C2×#92418—21no—
213C2×#92418—21no—
214C2×#92418—21no—
215C2×#92418—21no—
216C2×#92418—21no—
217C2×#92418—21no—
218C2×#92418—21no—
219C2×#92418—21no—
220C2×#92418—21no—
221C2×#92418—21no—
222C2×#92418C2×D412yes—
223C2×#92418C2×D412yes—
224C23×C61—21no—
225C23×C61—22no—
226C23×C61—21no—
227C23×C61—21no—
228C23×C61—21no—
229C23×C61—21no—
230C23×C61—21no—
231C23×C61—21no—
232C23×C61—41no—
233C23×C61—41no—
234C23×C61—41no—
235C23×C61—41no—
236C23×C61—41no—
237C23×C61—41no—
238C23×C61C22×D411yescharacteristic
239C22×D61—22no—
240C22×D61—41no—
241C22×D61—41no—
242C22×D61—41no—
243C22×D61—41no—
244C22×D61—41no—
245C22×D61—41no—
246D4×C61—22no—
247D4×C61—22no—
248D4×C61—41no—
249D4×C61—41no—
250D4×C61—84no—
251C2×C4×C61—21no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—22no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—84no—
278C2×C4×C61#12112yes—
279C2×C4×C61#12112yes—
280C2×C4×C61C22×D411yescharacteristic
281C2×C4×C61C2×#4111yescharacteristic
282C2×C4×C61C2×#4111yescharacteristic
283C2×C4×C61C2×#4111yescharacteristic
284C2×C4×C61C2×#4111yescharacteristic
285C2×C4×C61C2×#4111yescharacteristic
286C22⋊D61—84no—
287C2×Dic61—22no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296D244—22no—
297D244—22no—
298D244—41no—
299D244—41no—
300C4×D61—84no—
301#92418—22no—
302#92418—22no—
303#92418—41no—
304#92418—41no—
305#23703—611nomaximal, Sylow
306C22×C61—41no—
307C22×C61—41no—
308C22×C61—42no—
309C22×C61—41no—
310C22×C61—41no—
311C22×C61—42no—
312C22×C61—41no—
313C22×C61—42no—
314C22×C61—41no—
315C22×C61—41no—
316C22×C61—81no—
317C22×C61—81no—
318C22×C61—81no—
319C22×C61—81no—
320C22×C61C2×#12111yescharacteristic
321C22×C61#52511yescharacteristic
322C22×C61#52511yescharacteristic
323C22×C61#57611yescharacteristic
324C22×C61#57611yescharacteristic
325C22×C61#57611yescharacteristic
326C22×C61#57811yescharacteristic
327C2×D61—42no—
328C2×D61—42no—
329C2×D61—42no—
330C2×D61—81no—
331C2×D61—81no—
332C2×D61—81no—
333C2×D61—81no—
334C4×C61—22no—
335C4×C61—22no—
336C4×C61—42no—
337C4×C61—41no—
338C4×C61—41no—
339C4×C61—41no—
340C4×C61—81no—
341C4×C61—81no—
342C4×C61#52511yescharacteristic
343C4×C61#52911yescharacteristic
344C4×C61#52911yescharacteristic
345C4×C61#53211yescharacteristic
346Dic61—42no—
347Dic61—81no—
348Dic61—81no—
349C2×C4×D8—611no—
350C2×#433—611no—
351#2324—611no—
352#2324D6111yescharacteristic, complemented
353#2087—611no—
354#2076—611no—
355#2067—611no—
356#2067—611no—
357#2054—611no—
358#2033—611no—
359#2033—611no—
360#1999—611no—
361C4×#107—611no—
362#1762—611no—
363#1762—611no—
364C2×C61—81no—
365C2×C61—82no—
366C2×C61#239211yescharacteristic
367C2×C61#305811yescharacteristic
368C2×C61#306111yescharacteristic
369C2×C61#312211yescharacteristic
370C2×C61#312211yescharacteristic
371C2×C61#312411yescharacteristic
372C2×C61#312411yescharacteristic
373D61—82no—
374C22×D8—611no—
375C2×#121—611no—
376C2×#121C2×D6111yescharacteristic
377C2×C4×D4—611no—
378C2×C4×D4C2×D6111yescharacteristic
379C2×#117C2×D6111yescharacteristic
380C4×D8—1224no—
381#433—1224no—
382C2×#107—611no—
383C2×#107—611no—
384C2×#107—611no—
385C2×C4⋊C8—611no—
386C2×C4⋊C8—611no—
387C2×#102—611no—
388C2×#102—611no—
389C2×#102—611no—
390C2×#102—611no—
391C2×#102—611no—
392C2×#102—611no—
393C2×C22⋊C8—611no—
394C2×C22⋊C8—611no—
395C2×#97—611no—
396C2×C4×C8—611no—
397#390—21no—
398#390—611no—
399#390—1221no—
400#390C2×D6111yescharacteristic
401#389—611no—
402#389C2×D6111yescharacteristic
403#388—21no—
404#388—1221no—
405#386—21no—
406#386—1221no—
407#385—21no—
408#385—1221no—
409#380—611no—
410#380C2×D6111yescharacteristic
411C4×C4⋊C4—611no—
412C4×C4⋊C4C2×D6111yescharacteristic
413#340—611no—
414#340—611no—
415#340—611no—
416#340—611no—
417#340—611no—
418#340—611no—
419C61#2370311yescharacteristic, complemented, Sylow
420C22×D4—21no—
421C22×D4—611no—
422C22×D4—1221no—
423C22×D4C22×D6111yescharacteristic
424C23×C4—21no—
425C23×C4—1221no—
426C23×C4C22×D6111yescharacteristic
427C2×D8—1222no—
428C2×D8—1222no—
429C2×D8—1222no—
430C22×C8—611no—
431C22×C8—611no—
432C22×C8—611no—
433C22×C8—611no—
434#121—22no—
435#121—22no—
436#121—1222no—
437#121—1222no—
438C4×D4—22no—
439C4×D4—22no—
440C4×D4—1222no—
441C4×D4—1222no—
442#117—22no—
443#117—22no—
444C2×C4⋊C4—21no—
445C2×C4⋊C4—611no—
446C2×C4⋊C4—611no—
447C2×C4⋊C4—611no—
448C2×C4⋊C4—1221no—
449C2×C4⋊C4C22⋊D6111yescharacteristic
450C2×C4⋊C4C22⋊D6111yescharacteristic
451C2×C4⋊C4C22×D6111yescharacteristic
452C2×C4⋊C4C22×D6111yescharacteristic
453C2×C4⋊C4C22×D6111yescharacteristic
454C2×C22⋊C4—21no—
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—1221no—
460C2×C22⋊C4—1221no—
461C2×C22⋊C4—1221no—
462C2×C22⋊C4—1221no—
463C2×C22⋊C4—1221no—
464C2×C22⋊C4C22⋊D6111yescharacteristic
465C2×C22⋊C4C22⋊D6111yescharacteristic
466C2×C42—21no—
467C2×C42—1221no—
468C2×C42C22×D6111yescharacteristic
469C2×C42C22×D6111yescharacteristic
470#107—1222no—
471#107—1222no—
472#107—1222no—
473C4⋊C8—1222no—
474C4⋊C8—1222no—
475#102—1222no—
476#102—1222no—
477#102—1222no—
478#102—1222no—
479#102—1222no—
480#102—1222no—
481C22⋊C8—1222no—
482C22⋊C8—1222no—
483#97—1222no—
484C4×C8—614no—
485#95—21no—
486#95—21no—
487#95—21no—
488#95—1221no—
489#95—1221no—
490#95—1221no—
491C24—21no—
492C24—1221no—
493C24C2×C22⋊D6111yescharacteristic
494C2×D4—24no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—81no—
501C2×D4—81no—
502C2×D4—612no—
503C2×D4—1224no—
504C2×D4—1221no—
505C2×D4—1221no—
506C2×D4—1221no—
507C2×D4—1221no—
508C2×D4—1221no—
509C2×D4—4881no—
510C2×D4—4881no—
511C2×D4#1175822212yes—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—42no—
522C22×C4—81no—
523C22×C4—81no—
524C22×C4—1221no—
525C22×C4—1221no—
526C22×C4—1221no—
527C22×C4—4881no—
528C22×C4—4881no—
529C22×C4—2442no—
530C22×C4C2×C22⋊D6111yescharacteristic
531C22×C4C2×C22⋊D6111yescharacteristic
532C22×C4C2×C22⋊D6111yescharacteristic
533C22×C4C2×C22⋊D6111yescharacteristic
534C22×C4C2×C22⋊D6111yescharacteristic
535C22×C4C23×D6111yescharacteristic
536D8—1228no—
537C2×C8—612no—
538C2×C8—612no—
539C2×C8—1221no—
540C2×C8—1221no—
541C2×C8—1221no—
542C2×C8—1221no—
543C2×C8—1221no—
544C2×C8—1221no—
545C2×C8—1221no—
546C2×C8—1221no—
547C2×C8—1221no—
548C2×C8—1221no—
549C4⋊C4—21no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—81no—
557C4⋊C4—612no—
558C4⋊C4—1221no—
559C4⋊C4—1221no—
560C4⋊C4—1221no—
561C4⋊C4—1221no—
562C4⋊C4—1221no—
563C4⋊C4—4881no—
564C4⋊C4#1175822212yes—
565C22⋊C4—24no—
566C22⋊C4—22no—
567C22⋊C4—22no—
568C22⋊C4—42no—
569C22⋊C4—81no—
570C22⋊C4—81no—
571C22⋊C4—81no—
572C22⋊C4—1224no—
573C22⋊C4—4881no—
574C22⋊C4—4881no—
575C22⋊C4—4881no—
576C22⋊C4—2442no—
577C42—21no—
578C42—21no—
579C42—81no—
580C42—4881no—
581C42D4×D6112yes—
582C42#1175822412yes—
583C23—21no—
584C23—21no—
585C23—22no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—1222no—
598C23—2441no—
599C23—2441no—
600C23—2441no—
601C23—2441no—
602C23—2441no—
603C23—2441no—
604C23C22×C22⋊D6111yescharacteristic
605D4—22no—
606D4—22no—
607D4—41no—
608D4—41no—
609D4—84no—
610D4—1222no—
611D4—1222no—
612D4—4884no—
613D4—2441no—
614D4—2441no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—22no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—84no—
642C2×C4—1222no—
643C2×C4—4884no—
644C2×C4—2441no—
645C2×C4—2441no—
646C2×C4—2441no—
647C2×C4—2441no—
648C2×C4—2441no—
649C2×C4—2441no—
650C2×C4—2441no—
651C2×C4—2441no—
652C2×C4#1451974912yes—
653C2×C4#1451974912yes—
654C2×C4C2×D4×D6111yescharacteristic
655C2×C4#41×D6111yescharacteristic
656C2×C4#41×D6111yescharacteristic
657C2×C4C2×#1175822411yescharacteristic
658C2×C4C2×#1175822211yescharacteristic
659C2×C4C2×#1175822211yescharacteristic
660C8—1222no—
661C8—1222no—
662C8—2441no—
663C8—2441no—
664C22—41no—
665C22—42no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—42no—
671C22—41no—
672C22—41no—
673C22—42no—
674C22—81no—
675C22—81no—
676C22—81no—
677C22—81no—
678C22—4881no—
679C22—4881no—
680C22—4881no—
681C22—4881no—
682C22—2442no—
683C22—2442no—
684C22—2442no—
685C22C2×#1451974911yescharacteristic
686C22#1684026911yescharacteristic
687C22#1684027311yescharacteristic
688C22#1684056511yescharacteristic
689C22#1684056511yescharacteristic
690C22#1684056511yescharacteristic
691C22#1684057711yescharacteristic
692C4—22no—
693C4—22no—
694C4—41no—
695C4—41no—
696C4—41no—
697C4—42no—
698C4—81no—
699C4—81no—
700C4—4881no—
701C4—4881no—
702C4—2442no—
703C4#1684027111yescharacteristic
704C4#1684029211yescharacteristic
705C4#1684029411yescharacteristic
706C4#1684030911yescharacteristic
707C2—81no—
708C2—82no—
709C2—4882no—
710C2#2144906111yescharacteristic
711C2#2145546411yescharacteristic
712C2#2145548611yescharacteristic
713C2#2145605711yescharacteristic
714C2#2145606211yescharacteristic
715C2#2145607511yescharacteristic
716C2#2145608111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2324C2
socleC23×C61C22×D4
prime radical#21446815C2
hypercenter#2324D61
hypocenterC61#23703
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2324

Complements

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

NH ≅ G/Ntype
1. C2×C4×#11758199C2semidirect
2. C2×#16839823C2semidirect
3. #21448512C2semidirect
4. #21447315C2semidirect
5. #21447250C2semidirect
6. #21447207C2semidirect
7. #21447204C2semidirect
8. #21447129C2semidirect
9. #21447001C2semidirect
10. #21446998C2semidirect
12. C4×#14519710C2semidirect
13. #21445647C2semidirect
14. #21445644C2semidirect
15. C61×#2324C2semidirect
99. C4×#92418D4semidirect
352. #2324D61semidirect
419. C61#23703semidirect

Maximal subgroups

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

subgroupindex
C2×C4×#117581992
C2×#168398232
#214485122
#214473152
#214472502
#214472072
#214472042
#214471292
#214470012
#214469982
#214468152
C4×#145197102
#214456472
#214456442
C61×#23242
#2370361