Finite Group Databasebeta

← #28520196

Subgroups — #28520196

Order 15104.

2190 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×#16837335C212yesmaximal, complemented
2C2×#16837275C211yesmaximal, characteristic
3C2×#16837275C211yesmaximal, characteristic
4C2×#16837262C211yesmaximal, characteristic
5#21422359C212yesmaximal, complemented
6#21422355C212yesmaximal, complemented
7#21422349C212yesmaximal, complemented
8#21422319C211yesmaximal, characteristic
9#21422319C211yesmaximal, characteristic
10#21422319C211yesmaximal, characteristic
11C23×C4⋊C4×C59C211yesmaximal, characteristic
12C22×C4⋊Dic59C2212yes—
13C22×Dic59⋊C4C2211yescharacteristic
14C22×Dic59⋊C4C2212yes—
15C22×Dic59⋊C4C2211yescharacteristic
16C22×C22⋊Dic59C2211yescharacteristic
17C22×C22⋊Dic59C2211yescharacteristic
18C22×C22⋊Dic59C2211yescharacteristic
19C22×C22⋊Dic59C2211yescharacteristic
20#16837335—28no—
21#16837275—24no—
22#16837275—24no—
23#16837262—24no—
24C2×C59⋊#95C2211yescharacteristic
25C2×C59⋊#95C2212yes—
26C2×C59⋊#95C2212yes—
27C2×C59⋊#95C2212yes—
28C2×C59⋊#95C2211yescharacteristic
29C2×C59⋊#95C2212yes—
30C2×C59⋊#95C2212yes—
31C2×C59⋊#95C2212yes—
32C2×C59⋊#95C2212yes—
33C2×C59⋊#95C2212yes—
34C24×C4×C59C2211yescharacteristic
35C24×C4×C59C2211yescharacteristic
36C24×C4×C59C2211yescharacteristic
37C22×C4⋊C4×C59—24no—
38C22×C4⋊C4×C59—28no—
39C22×C4⋊C4×C59C2212yes—
40C22×C4⋊C4×C59C2212yes—
41C23×Dic59C2311yescharacteristic
42C23×Dic59C2312yes—
43C23×Dic59C2311yescharacteristic
44C23×Dic59C2312yes—
45C23×Dic59C2311yescharacteristic
46C23×Dic59C2311yescharacteristic
47C2×C4⋊Dic59—24no—
48C2×C4⋊Dic59—24no—
49C2×C4⋊Dic59—42no—
50C2×Dic59⋊C4—22no—
51C2×Dic59⋊C4—22no—
52C2×Dic59⋊C4—24no—
53C2×Dic59⋊C4—24no—
54C2×Dic59⋊C4—24no—
55C2×Dic59⋊C4—42no—
56C2×Dic59⋊C4—42no—
57C2×C22⋊Dic59—22no—
58C2×C22⋊Dic59—22no—
59C2×C22⋊Dic59—22no—
60C2×C22⋊Dic59—22no—
61C2×C22⋊Dic59—22no—
62C2×C22⋊Dic59—22no—
63C2×C22⋊Dic59—22no—
64C2×C22⋊Dic59—22no—
65C2×C22⋊Dic59—22no—
66C2×C22⋊Dic59—22no—
67C2×C22⋊Dic59D414yes—
68C2×C22⋊Dic59Q814yes—
69C59⋊#95—22no—
70C59⋊#95—22no—
71C59⋊#95—24no—
72C59⋊#95—24no—
73C59⋊#95—24no—
74C59⋊#95—24no—
75C59⋊#95—24no—
76C59⋊#95—24no—
77C59⋊#95—24no—
78C59⋊#95—42no—
79C25×C59C2311yescharacteristic
80C23×C4×C59—22no—
81C23×C4×C59—22no—
82C23×C4×C59—24no—
83C23×C4×C59—24no—
84C23×C4×C59—22no—
85C23×C4×C59—22no—
86C23×C4×C59—22no—
87C23×C4×C59—24no—
88C23×C4×C59—24no—
89C23×C4×C59—22no—
90C23×C4×C59—22no—
91C23×C4×C59—42no—
92C23×C4×C59—42no—
93C23×C4×C59D414yes—
94C23×C4×C59Q814yes—
95C23×C4×C59C2311yescharacteristic
96C23×C4×C59C2312yes—
97C23×C4×C59C2311yescharacteristic
98C23×C4×C59C2312yes—
99C2×C4⋊C4×C59—232no—
100C2×C4⋊C4×C59—24no—
101C2×C4⋊C4×C59—24no—
102C2×C4⋊C4×C59—24no—
103C2×C4⋊C4×C59—24no—
104C2×C4⋊C4×C59—24no—
105C2×C4⋊C4×C59D418yes—
106C24×C59—22no—
107C24×C59—22no—
108C24×C59—22no—
109C24×C59—22no—
110C24×C59C2×D412yes—
111C24×C59C2×D412yes—
112C24×C59C2×Q812yes—
113C24×C59C2×Q812yes—
114C24×C59#4112yes—
115C24×C59#4112yes—
116C24×C59#4112yes—
117C24×C59C2411yescharacteristic
118C22×C4×C59—28no—
119C22×C4×C59—216no—
120C22×C4×C59—28no—
121C22×C4×C59—28no—
122C22×C4×C59—22no—
123C22×C4×C59—22no—
124C22×C4×C59—21no—
125C22×C4×C59—21no—
126C22×C4×C59—22no—
127C22×C4×C59—22no—
128C22×C4×C59—22no—
129C22×C4×C59—216no—
130C22×C4×C59—28no—
131C22×C4×C59—28no—
132C22×C4×C59—22no—
133C22×C4×C59—22no—
134C22×C4×C59—22no—
135C22×C4×C59—21no—
136C22×C4×C59—22no—
137C22×C4×C59—21no—
138C22×C4×C59—22no—
139C22×C4×C59—22no—
140C22×C4×C59—22no—
141C22×C4×C59—22no—
142C22×C4×C59—28no—
143C22×C4×C59—44no—
144C22×C4×C59—48no—
145C22×C4×C59—48no—
146C22×C4×C59—48no—
147C22×C4×C59—48no—
148C22×C4×C59—44no—
149C22×C4×C59—44no—
150C22×C4×C59C2×D412yes—
151C22×C4×C59C2×D414yes—
152C22×C4×C59C2×D412yes—
153C22×C4×C59C2×D414yes—
154C22×C4×C59C2×D414yes—
155C22×C4×C59C2×Q814yes—
156C22×C4×C59#4114yes—
157C22×Dic59—22no—
158C22×Dic59—21no—
159C22×Dic59—21no—
160C22×Dic59—22no—
161C22×Dic59—22no—
162C22×Dic59—22no—
163C22×Dic59—21no—
164C22×Dic59—21no—
165C22×Dic59—22no—
166C22×Dic59—22no—
167C22×Dic59—22no—
168C22×Dic59—22no—
169C22×Dic59—22no—
170C22×Dic59—22no—
171C22×Dic59—21no—
172C22×Dic59—21no—
173C22×Dic59—22no—
174C22×Dic59—22no—
175C22×Dic59—22no—
176C22×Dic59—21no—
177C22×Dic59—21no—
178C22×Dic59—22no—
179C22×Dic59—22no—
180C22×Dic59—21no—
181C22×Dic59—21no—
182C22×Dic59—22no—
183C22×Dic59—22no—
184C22×Dic59—22no—
185C22×Dic59—22no—
186C22×Dic59—22no—
187C22×Dic59—22no—
188C22×Dic59C2×D414yes—
189C22×Dic59C2×Q812yes—
190C22×Dic59C2×Q812yes—
191C4⋊C4×C59—216no—
192C4⋊C4×C59—216no—
193C22⋊Dic59—28no—
194C22⋊Dic59—28no—
195C22⋊Dic59—44no—
196C22⋊Dic59—44no—
197C4⋊Dic59—48no—
198Dic59⋊C4—48no—
199Dic59⋊C4—44no—
200Dic59⋊C4—44no—
201C23×C59—22no—
202C23×C59—24no—
203C23×C59—22no—
204C23×C59—24no—
205C23×C59—22no—
206C23×C59—22no—
207C23×C59—24no—
208C23×C59—24no—
209C23×C59—24no—
210C23×C59—24no—
211C23×C59—24no—
212C23×C59—24no—
213C23×C59—24no—
214C23×C59—24no—
215C23×C59—24no—
216C23×C59—24no—
217C23×C59#12114yes—
218C23×C59C22⋊Q814yes—
219C23×C59C22⋊Q814yes—
220C23×C59#12314yes—
221C23×C59#12514yes—
222C23×C59#12514yes—
223C23×C59C4⋊Q814yes—
224C23×C59C22×D411yescharacteristic
225C23×C59C22×D411yescharacteristic
226C23×C59C22×D412yes—
227C23×C59C22×Q811yescharacteristic
228C23×C59C22×Q811yescharacteristic
229C23×C59C2×#4111yescharacteristic
230C23×C59C2×#4111yescharacteristic
231C23×C59C2×#4112yes—
232C23×C59C2×#4111yescharacteristic
233C23×C59H(5,𝔽2)12yes—
234C23×C592−1+412yes—
235C2×C4×C59—232no—
236C2×C4×C59—24no—
237C2×C4×C59—22no—
238C2×C4×C59—24no—
239C2×C4×C59—24no—
240C2×C4×C59—24no—
241C2×C4×C59—24no—
242C2×C4×C59—24no—
243C2×C4×C59—22no—
244C2×C4×C59—24no—
245C2×C4×C59—24no—
246C2×C4×C59—22no—
247C2×C4×C59—24no—
248C2×C4×C59—22no—
249C2×C4×C59—22no—
250C2×C4×C59—24no—
251C2×C4×C59—24no—
252C2×C4×C59—416no—
253C2×C4×C59—416no—
254C2×C4×C59—42no—
255C2×C4×C59—42no—
256C2×C4×C59—42no—
257C2×C4×C59—42no—
258C2×C4×C59—42no—
259C2×C4×C59—42no—
260C2×C4×C59#12014yes—
261C2×C4×C59C22⋊Q818yes—
262C2×Dic59—22no—
263C2×Dic59—22no—
264C2×Dic59—24no—
265C2×Dic59—24no—
266C2×Dic59—24no—
267C2×Dic59—24no—
268C2×Dic59—24no—
269C2×Dic59—41no—
270C2×Dic59—41no—
271C2×Dic59—42no—
272C2×Dic59—41no—
273C2×Dic59—41no—
274C2×Dic59—42no—
275C2×Dic59—42no—
276C2×Dic59—42no—
277C2×Dic59—42no—
278C2×Dic59—42no—
279C2×Dic59—41no—
280C2×Dic59—41no—
281C2×Dic59—41no—
282C2×Dic59—42no—
283C2×Dic59—41no—
284C2×Dic59—42no—
285C2×Dic59—41no—
286C2×Dic59—41no—
287C2×Dic59—42no—
288C2×Dic59—42no—
289C2×Dic59—42no—
290C2×Dic59—42no—
291C2×Dic59—42no—
292C2×Dic59—42no—
293C2×Dic59—42no—
294C2×Dic59—42no—
295C2×Dic59—42no—
296#14728—591nomaximal, Sylow
297C22×C59—24no—
298C22×C59—24no—
299C22×C59—24no—
300C22×C59—24no—
301C22×C59—24no—
302C22×C59—24no—
303C22×C59—28no—
304C22×C59—28no—
305C22×C59—28no—
306C22×C59—28no—
307C22×C59#39818yescomplemented
308C22×C59C2×#12011yescharacteristic
309C22×C59C2×#12111yescharacteristic
310C22×C59C2×C22⋊Q811yescharacteristic
311C22×C59C2×C22⋊Q811yescharacteristic
312C22×C59C2×C22⋊Q812yes—
313C22×C59C2×#12311yescharacteristic
314C22×C59#52511yescharacteristic
315C22×C59#52512yes—
316C22×C59C2×#12511yescharacteristic
317C22×C59C2×#12511yescharacteristic
318C22×C59C2×C4⋊Q811yescharacteristic
319C22×C59#53411yescharacteristic
320C22×C59#53611yescharacteristic
321C22×C59#53912yes—
322C22×C59#54412yes—
323C22×C59D4212yes—
324C22×C59#54612yes—
325C22×C59#54712yes—
326C22×C59#54812yes—
327C22×C59D4×Q812yes—
328C22×C59#55212yes—
329C22×C59#55312yes—
330C22×C59#55412yes—
331C4×C59—28no—
332C4×C59—24no—
333C4×C59—42no—
334C4×C59—44no—
335Dic59—42no—
336Dic59—42no—
337Dic59—44no—
338Dic59—81no—
339Dic59—81no—
340Dic59—82no—
341C23×C4⋊C4D5911yescharacteristic
342C2×#398—592no—
343C2×#385—591no—
344C2×#385—591no—
345C2×#380—591no—
346#1444—592no—
347#1442—592no—
348#1441—592no—
349C22⋊#95—591no—
350C22⋊#95—591no—
351C22⋊#95—591no—
352C2×C59—28no—
353C2×C59C2×#39811yescharacteristic
354C2×C59#240911yescharacteristic
355C2×C59#241011yescharacteristic
356C2×C59#241311yescharacteristic
357C2×C59#244012yes—
358C2×C59#244212yes—
359C2×C59#244312yes—
360C2×C59#247312yes—
361C2×C59#257911yescharacteristic
362C2×C59#262711yescharacteristic
363C2×C59#284811yescharacteristic
364C24×C4C2×D5911yescharacteristic
365C24×C4C2×D5911yescharacteristic
366C24×C4C2×D5911yescharacteristic
367C22×C4⋊C4—24no—
368C22×C4⋊C4—28no—
369C22×C4⋊C4—591no—
370C22×C4⋊C4—592no—
371C22×C4⋊C4—592no—
372C22×C4⋊C4—591no—
373C22×C4⋊C4C2×D5912yes—
374C22×C4⋊C4C2×D5912yes—
375C22×C22⋊C4—591no—
376C22×C22⋊C4—591no—
377C22×C22⋊C4—591no—
378C22×C22⋊C4—591no—
379#398—1188no—
380#385—1184no—
381#385—1184no—
382#380—1184no—
383C2×#95—592no—
384C2×#95—592no—
385C2×#95—592no—
386C2×#95—592no—
387C2×#95—592no—
388C2×#95—591no—
389C2×#95—592no—
390C2×#95—591no—
391C2×#95—592no—
392C2×#95—592no—
393C59#1472811yescharacteristic, complemented, Sylow
394C25C22×D5911yescharacteristic
395C23×C4—22no—
396C23×C4—22no—
397C23×C4—24no—
398C23×C4—24no—
399C23×C4—22no—
400C23×C4—22no—
401C23×C4—22no—
402C23×C4—24no—
403C23×C4—24no—
404C23×C4—22no—
405C23×C4—22no—
406C23×C4—42no—
407C23×C4—42no—
408C23×C4—592no—
409C23×C4—591no—
410C23×C4—591no—
411C23×C4—591no—
412C23×C4—592no—
413C23×C4—591no—
414C23×C4Dic11814yes—
415C23×C4C22⋊D5914yes—
416C23×C4C22×D5911yescharacteristic
417C23×C4C22×D5912yes—
418C23×C4C22×D5912yes—
419C23×C4C22×D5911yescharacteristic
420C2×C4⋊C4—232no—
421C2×C4⋊C4—24no—
422C2×C4⋊C4—24no—
423C2×C4⋊C4—24no—
424C2×C4⋊C4—24no—
425C2×C4⋊C4—24no—
426C2×C4⋊C4—1184no—
427C2×C4⋊C4—1184no—
428C2×C4⋊C4—1182no—
429C2×C4⋊C4—1182no—
430C2×C4⋊C4—1184no—
431C2×C4⋊C4—1184no—
432C2×C4⋊C4—1184no—
433C2×C4⋊C4—2362no—
434C2×C4⋊C4—2362no—
435C2×C4⋊C4—2362no—
436C2×C4⋊C4C22⋊D5918yes—
437C2×C22⋊C4—594no—
438C2×C22⋊C4—594no—
439C2×C22⋊C4—1182no—
440C2×C22⋊C4—1182no—
441C2×C22⋊C4—1182no—
442C2×C22⋊C4—1182no—
443C2×C22⋊C4—1182no—
444C2×C22⋊C4—1182no—
445C2×C22⋊C4—1182no—
446C2×C22⋊C4—1182no—
447C2×C22⋊C4—1182no—
448C2×C22⋊C4—1182no—
449#95—1184no—
450#95—1184no—
451#95—1184no—
452#95—1184no—
453#95—1182no—
454#95—1182no—
455#95—1184no—
456#95—1184no—
457#95—1184no—
458#95—2362no—
459C24—22no—
460C24—22no—
461C24—22no—
462C24—22no—
463C24C2×Dic11812yes—
464C24#1174568512yes—
465C24D4×D5912yes—
466C24#1174568712yes—
467C24Q8×D5912yes—
468C24#1174568912yes—
469C24C2×C22⋊D5912yes—
470C24C23×D5911yescharacteristic
471C22×C4—28no—
472C22×C4—28no—
473C22×C4—216no—
474C22×C4—28no—
475C22×C4—21no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—21no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—216no—
483C22×C4—28no—
484C22×C4—28no—
485C22×C4—21no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—28no—
496C22×C4—44no—
497C22×C4—48no—
498C22×C4—48no—
499C22×C4—48no—
500C22×C4—48no—
501C22×C4—44no—
502C22×C4—44no—
503C22×C4—594no—
504C22×C4—592no—
505C22×C4—592no—
506C22×C4—1182no—
507C22×C4—1181no—
508C22×C4—1181no—
509C22×C4—1182no—
510C22×C4—1182no—
511C22×C4—1182no—
512C22×C4—1182no—
513C22×C4—1181no—
514C22×C4—1181no—
515C22×C4—1182no—
516C22×C4—1182no—
517C22×C4—1182no—
518C22×C4—1182no—
519C22×C4—1182no—
520C22×C4—1181no—
521C22×C4—1182no—
522C22×C4—1181no—
523C22×C4—1181no—
524C22×C4—1182no—
525C22×C4—1182no—
526C22×C4—1181no—
527C22×C4—1181no—
528C22×C4—1181no—
529C22×C4—1182no—
530C22×C4—1182no—
531C22×C4—1182no—
532C22×C4—1182no—
533C22×C4—1182no—
534C22×C4—1182no—
535C22×C4—1182no—
536C22×C4—1182no—
537C22×C4C2×Dic11814yes—
538C22×C4#1174568514yes—
539C22×C4C2×C22⋊D5912yes—
540C22×C4C2×C22⋊D5914yes—
541C22×C4C2×C22⋊D5912yes—
542C22×C4C2×C22⋊D5914yes—
543C22×C4C2×C22⋊D5914yes—
544C4⋊C4—216no—
545C4⋊C4—216no—
546C4⋊C4—2368no—
547C4⋊C4—2368no—
548C4⋊C4—2364no—
549C4⋊C4—2364no—
550C22⋊C4—1188no—
551C22⋊C4—1188no—
552C22⋊C4—2364no—
553C22⋊C4—2364no—
554C23—22no—
555C23—24no—
556C23—24no—
557C23—22no—
558C23—22no—
559C23—22no—
560C23—24no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—24no—
570C23#1427369914yes—
571C23#1427370314yes—
572C23#1427370614yes—
573C23#1427371214yes—
574C23#1427371714yes—
575C23#1427371814yes—
576C23#1427372614yes—
577C23C2×D4×D5911yescharacteristic
578C23C22×C22⋊D5911yescharacteristic
579C23C22×C22⋊D5912yes—
580C23C2×Q8×D5911yescharacteristic
581C23C22×Dic11811yescharacteristic
582C23C2×#1174568711yescharacteristic
583C23C2×#1174568511yescharacteristic
584C23C2×#1174568512yes—
585C23C2×#1174568911yescharacteristic
586C23#1427377212yes—
587C23#1427377512yes—
588C2×C4—232no—
589C2×C4—24no—
590C2×C4—22no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—24no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—22no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—22no—
600C2×C4—24no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—416no—
606C2×C4—416no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—1182no—
614C2×C4—1182no—
615C2×C4—1184no—
616C2×C4—1184no—
617C2×C4—1184no—
618C2×C4—1184no—
619C2×C4—1184no—
620C2×C4—2361no—
621C2×C4—2361no—
622C2×C4—2361no—
623C2×C4—2362no—
624C2×C4—2361no—
625C2×C4—2362no—
626C2×C4—2361no—
627C2×C4—2361no—
628C2×C4—2362no—
629C2×C4—2362no—
630C2×C4—2362no—
631C2×C4—2362no—
632C2×C4—2362no—
633C2×C4—2362no—
634C2×C4—2362no—
635C2×C4—2362no—
636C2×C4—2362no—
637C2×C4—2361no—
638C2×C4—2362no—
639C2×C4—2361no—
640C2×C4—2361no—
641C2×C4—2361no—
642C2×C4—2362no—
643C2×C4—2362no—
644C2×C4—2362no—
645C2×C4—2362no—
646C2×C4—2362no—
647C2×C4#1427369614yes—
648C2×C4#1427370618yes—
649C22—28no—
650C22—24no—
651C22—24no—
652C22—24no—
653C22—28no—
654C22—28no—
655C22—28no—
656C22—24no—
657C22—24no—
658C22—24no—
659C22#1683733518yescomplemented
660C22C2×#1427369611yescharacteristic
661C22C2×#1427369911yescharacteristic
662C22C2×#1427370311yescharacteristic
663C22C2×#1427370612yes—
664C22C2×#1427370611yescharacteristic
665C22C2×#1427371211yescharacteristic
666C22#1683791312yes—
667C22#1683791311yescharacteristic
668C22C2×#1427371711yescharacteristic
669C22C2×#1427371811yescharacteristic
670C22C2×#1427372611yescharacteristic
671C22#1683796111yescharacteristic
672C22#1683797611yescharacteristic
673C22#1683799912yes—
674C22#1683803312yes—
675C22D4×C22⋊D5912yes—
676C22#1683804612yes—
677C22#1683805312yes—
678C22#1683806312yes—
679C22Q8×C22⋊D5912yes—
680C22#1683808712yes—
681C22#1683810012yes—
682C22#1683810712yes—
683C4—24no—
684C4—28no—
685C4—42no—
686C4—44no—
687C4—4721no—
688C4—4721no—
689C4—4722no—
690C4—2364no—
691C4—2362no—
692C4—2362no—
693C2—28no—
694C2C2×#1683733511yescharacteristic
695C2#2142745511yescharacteristic
696C2#2142747011yescharacteristic
697C2#2142750311yescharacteristic
698C2#2142779212yes—
699C2#2142781412yes—
700C2#2142783112yes—
701C2#2142823112yes—
702C2#2142944311yescharacteristic
703C2#2142990911yescharacteristic
704C2#2143238311yescharacteristic
subgroupG/H
center, FrattiniC24C23×D59
commutator, socle, cosocleC24×C59C24
FittingC23×C4⋊C4×C59C2
prime radicalC25×C59C23
hypercenterC23×C4⋊C4D59
hypocenterC59#14728
LCSG ▷ C24×C59 ▷ C59
UCSC1 ◁ C24 ◁ C23×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#16837335C2semidirect
5. #21422359C2semidirect
6. #21422355C2semidirect
7. #21422349C2semidirect
307. C22×C59#398semidirect
393. C59#14728semidirect
659. C22#16837335semidirect

Maximal subgroups

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

subgroupindex
C2×#168373352
C2×#168372752
C2×#168372622
#214223592
#214223552
#214223492
#214223192
C23×C4⋊C4×C592
#1472859