Finite Group Databasebeta

← #28634377

Subgroups — #28634377

Order 15104.

886 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837633C211yesmaximal, characteristic
2C2×C4×#11745671C211yesmaximal, characteristic, complemented
3#21427610C211yesmaximal, characteristic
4#21425504C211yesmaximal, characteristic, complemented
5#21425500C211yesmaximal, characteristic, complemented
6#21425289C211yesmaximal, characteristic, complemented
7#21425285C211yesmaximal, characteristic
8#21424953C211yesmaximal, characteristic, complemented
9#21424821C211yesmaximal, characteristic, complemented
10#21424364C211yesmaximal, characteristic, complemented
11#21424356C211yesmaximal, characteristic, complemented
12#21424252C211yesmaximal, characteristic, complemented
13#21424119C211yesmaximal, characteristic, complemented
14C22⋊C4×C59⋊C8C211yesmaximal, characteristic, complemented
15C59×#2423C211yesmaximal, characteristic, complemented
16C22×#11745671C2211yescharacteristic
17C23×C59⋊C8C2211yescharacteristic
18C2×#14273709—21no—
19C2×#14273701C2211yescharacteristic
20C2×C4×D236C2211yescharacteristic
21#16837633—24no—
22C4×#11745671—24no—
23C2×#14273658C2211yescharacteristic
24C2×#14273658C2211yescharacteristic
25C2×#14273658C2211yescharacteristic
26C2×#14273658C2211yescharacteristic
27C2×#14273658C2211yescharacteristic
28C2×#14273651C2211yescharacteristic
29C2×#14273651C2211yescharacteristic
30C2×#14273651C2211yescharacteristic
31C2×#14273647C2211yescharacteristic
32C2×#14273647C2211yescharacteristic
33C2×#14273647C2211yescharacteristic
34C2×C22⋊(C59⋊C8)C2211yescharacteristic
35C2×C4×C59⋊C8C2211yescharacteristic
36C2×C4×C59⋊C8C2211yescharacteristic
37#16837329—21no—
38#16837318—21no—
39#16837304C2211yescharacteristic
40#16837300C2211yescharacteristic
41#16837276—21no—
42#16837272C2211yescharacteristic
43#16837262C2211yescharacteristic
44#16837164C2211yescharacteristic
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837157C2211yescharacteristic
49#16837157C2211yescharacteristic
50C2×C22⋊Q8×C59C2211yescharacteristic
51C2×C4×Q8×C59C2211yescharacteristic
52C59×#399—21no—
53C59×#398—21no—
54C59×#391C2211yescharacteristic
55C59×#389C2211yescharacteristic
56C59×#388—21no—
57C59×#387—21no—
58C59×#384C2211yescharacteristic
59C59×#380C2211yescharacteristic
60C4×C22⋊C4×C59C2211yescharacteristic
61C22×D236C2311yescharacteristic
62C22×C22⋊D59—21no—
63C22×C4×D59—21no—
64C2×#11745671—22no—
65C2×#11745671—22no—
66C2×#11745671D414yes—
67C22×C59⋊C8—22no—
68C22×C59⋊C8—22no—
69C22×C59⋊C8—22no—
70C22×C59⋊C8C2311yescharacteristic
71C22×C59⋊C8C2311yescharacteristic
72C22×C59⋊C8C2311yescharacteristic
73C22×C59⋊C8C2311yescharacteristic
74#14273709—44no—
75#14273701—22no—
76#14273701—41no—
77C4×D236—22no—
78C4×D236—41no—
79C2×C4⋊Dic59—21no—
80C2×C4⋊Dic59—21no—
81C2×C4⋊Dic59C2311yescharacteristic
82C2×C4⋊Dic59C2311yescharacteristic
83C2×C4⋊Dic59C2311yescharacteristic
84C2×Dic59⋊C4—21no—
85C2×C22⋊Dic59—21no—
86C2×(C2×D59)⋊C4—21no—
87C2×(C2×D59)⋊C4—21no—
88C2×(C2×D59)⋊C4—21no—
89C2×(C2×D59)⋊C4—21no—
90#14273658—22no—
91#14273658—22no—
92#14273658—22no—
93#14273658—41no—
94#14273658—41no—
95#14273651—22no—
96#14273651—22no—
97#14273651—22no—
98#14273647—22no—
99#14273647—22no—
100#14273647—22no—
101C22⋊(C59⋊C8)—22no—
102C4×C59⋊C8—22no—
103C4×C59⋊C8—22no—
104C59⋊#95—21no—
105C59⋊#95—21no—
106C22×Q8×C59C2311yescharacteristic
107C23×C4×C59C2311yescharacteristic
108C22⋊Q8×C59—22no—
109C22⋊Q8×C59—41no—
110C4×Q8×C59—22no—
111C4×Q8×C59—41no—
112C2×C4⋊C4×C59—21no—
113C2×C4⋊C4×C59—21no—
114C2×C4⋊C4×C59—21no—
115C2×C4⋊C4×C59—21no—
116C2×C4⋊C4×C59—21no—
117C2×C4⋊C4×C59C2311yescharacteristic
118C2×C4⋊C4×C59C2311yescharacteristic
119C2×C4⋊C4×C59C2311yescharacteristic
120C2×C22⋊C4×C59—21no—
121C2×C22⋊C4×C59—21no—
122C2×C22⋊C4×C59D411yescharacteristic
123C2×C22⋊C4×C59D411yescharacteristic
124C2×C42×C59—21no—
125C2×C42×C59C2311yescharacteristic
126C2×C42×C59C2311yescharacteristic
127#95×C59—21no—
128#95×C59—21no—
129#95×C59—21no—
130#95×C59—21no—
131#95×C59D411yescharacteristic
132#95×C59D411yescharacteristic
133C24×C59C2×D411yescharacteristic
134C23×D59—21no—
135C2×Q8×C59—21no—
136C2×Q8×C59—21no—
137C2×Q8×C59—21no—
138C2×Q8×C59—21no—
139C2×Q8×C59—21no—
140C2×Q8×C59C2×D412yes—
141C22×C4×C59—21no—
142C22×C4×C59—21no—
143C22×C4×C59—21no—
144C22×C4×C59—21no—
145C22×C4×C59—21no—
146C22×C4×C59—21no—
147C22×C4×C59—21no—
148C22×C4×C59—21no—
149C22×C4×C59—21no—
150C22×C4×C59—21no—
151C22×C4×C59C2×D411yescharacteristic
152C22×C4×C59C2×D411yescharacteristic
153C22×C4×C59C2×D411yescharacteristic
154C22×C4×C59C2×D411yescharacteristic
155C22×C4×C59C2×D411yescharacteristic
156C22×C4×C59C2411yescharacteristic
157C2×C22⋊D59—42no—
158C2×C22⋊D59—42no—
159C2×C22⋊D59—81no—
160C22×Dic59—21no—
161C22×Dic59—21no—
162C22×Dic59—21no—
163C2×D236—21no—
164C2×D236—21no—
165C2×D236—21no—
166C2×D236—21no—
167C2×D236—21no—
168C2×D236C2×D412yes—
169C2×C4×D59—42no—
170C2×C4×D59—42no—
171C2×C4×D59—81no—
172C4⋊C4×C59—21no—
173C4⋊C4×C59—21no—
174C4⋊C4×C59—21no—
175C4⋊C4×C59—21no—
176C4⋊C4×C59—21no—
177C4⋊C4×C59—21no—
178C4⋊C4×C59—42no—
179C4⋊C4×C59—42no—
180C4⋊C4×C59—42no—
181C4⋊C4×C59—81no—
182C4⋊C4×C59—81no—
183C22⋊C4×C59—22no—
184C22⋊C4×C59—42no—
185C22⋊C4×C59—81no—
186C22⋊C4×C59SD1614yescomplemented
187C42×C59—21no—
188C42×C59—21no—
189C42×C59—21no—
190C42×C59—21no—
191C42×C59—42no—
192C22⋊Dic59—42no—
193#11745671—28no—
194(C2×D59)⋊C4—42no—
195(C2×D59)⋊C4—42no—
196(C2×D59)⋊C4—42no—
197(C2×D59)⋊C4—42no—
198C4⋊Dic59—21no—
199C4⋊Dic59—21no—
200C4⋊Dic59—21no—
201C4⋊Dic59—21no—
202C4⋊Dic59—21no—
203C4⋊Dic59—21no—
204C4⋊Dic59—42no—
205C4⋊Dic59—81no—
206Dic59⋊C4—42no—
207C2×C59⋊C8—21no—
208C2×C59⋊C8—21no—
209C2×C59⋊C8—21no—
210C2×C59⋊C8—21no—
211C2×C59⋊C8—21no—
212C2×C59⋊C8—21no—
213C2×C59⋊C8—21no—
214C2×C59⋊C8—21no—
215C2×C59⋊C8—44no—
216C2×C59⋊C8C2×D412yes—
217C2×C59⋊C8#4112yes—
218C2×C59⋊C8#4112yes—
219C2×C59⋊C8#4112yes—
220C23×C59—21no—
221C23×C59—21no—
222C23×C59—21no—
223C23×C59—21no—
224C23×C59—21no—
225C23×C59—21no—
226C23×C59C2×SD1612yes—
227C23×C59C22×D411yescharacteristic
228C22×D59—22no—
229C22×D59—41no—
230C22×D59—41no—
231C22×D59—41no—
232C22×D59—41no—
233C22×D59—41no—
234C22×D59—41no—
235Q8×C59—22no—
236Q8×C59—22no—
237Q8×C59—41no—
238Q8×C59—41no—
239C2×C4×C59—21no—
240C2×C4×C59—21no—
241C2×C4×C59—21no—
242C2×C4×C59—21no—
243C2×C4×C59—21no—
244C2×C4×C59—21no—
245C2×C4×C59—21no—
246C2×C4×C59—21no—
247C2×C4×C59—21no—
248C2×C4×C59—22no—
249C2×C4×C59—21no—
250C2×C4×C59—21no—
251C2×C4×C59—21no—
252C2×C4×C59—41no—
253C2×C4×C59—41no—
254C2×C4×C59—41no—
255C2×C4×C59—41no—
256C2×C4×C59—41no—
257C2×C4×C59—41no—
258C2×C4×C59—41no—
259C2×C4×C59—41no—
260C2×C4×C59—41no—
261C2×C4×C59—41no—
262C2×C4×C59—41no—
263C2×C4×C59—41no—
264C2×C4×C59—41no—
265C2×C4×C59—41no—
266C2×C4×C59—41no—
267C2×C4×C59C2×SD1612yes—
268C2×C4×C59C2×SD1612yes—
269C2×C4×C59#13512yes—
270C2×C4×C59C22×D411yescharacteristic
271C2×C4×C59C2×#4111yescharacteristic
272C2×C4×C59C2×#4111yescharacteristic
273C2×C4×C59C2×#4111yescharacteristic
274C2×C4×C59H(5,𝔽2)11yescharacteristic
275C2×C4×C592−1+411yescharacteristic
276C22⋊D59—84no—
277C2×Dic59—41no—
278C2×Dic59—41no—
279C2×Dic59—41no—
280C2×Dic59—41no—
281C2×Dic59—41no—
282C2×Dic59—41no—
283C2×Dic59—41no—
284C2×Dic59—41no—
285C2×Dic59—41no—
286D236—22no—
287D236—22no—
288D236—41no—
289D236—41no—
290C4×D59—84no—
291C59⋊C8—22no—
292C59⋊C8—41no—
293C59⋊C8—41no—
294C59⋊C8#12314yescomplemented
295#25030—591nomaximal, Sylow
296C22×C59—22no—
297C22×C59—22no—
298C22×C59—22no—
299C22×C59—41no—
300C22×C59—41no—
301C22×C59—41no—
302C22×C59—41no—
303C22×C59#53211yescharacteristic
304C22×C59D4211yescharacteristic
305C22×C59#54711yescharacteristic
306C22×C59C22×SD1611yescharacteristic
307C22×C59C2×#13511yescharacteristic
308C22×C59#57711yescharacteristic
309C22×C59#57711yescharacteristic
310C2×D59—42no—
311C2×D59—42no—
312C2×D59—42no—
313C2×D59—81no—
314C2×D59—81no—
315C2×D59—81no—
316C2×D59—81no—
317C4×C59—22no—
318C4×C59—22no—
319C4×C59—22no—
320C4×C59—41no—
321C4×C59—42no—
322C4×C59—41no—
323C4×C59—81no—
324C4×C59—81no—
325C4×C59—81no—
326C4×C59C2×#12311yescharacteristic
327C4×C59#54211yescharacteristic
328C4×C59#54711yescharacteristic
329C4×C59#55311yescharacteristic
330Dic59—81no—
331Dic59—81no—
332Dic59—81no—
333C2×#465—591no—
334C2×C4×SD16—591no—
335#2423D5911yescharacteristic, complemented
336#2422—591no—
337#2072—591no—
338#2071—591no—
339#2035—591no—
340#2034—591no—
341#1968—591no—
342#1941—591no—
343#1865—591no—
344#1864—591no—
345#1844—591no—
346#1807—591no—
347C8×C22⋊C4—591no—
348C2×C59—42no—
349C2×C59#242211yescharacteristic
350C2×C59#316711yescharacteristic
351C2×C59#317311yescharacteristic
352C2×C59D4×SD1611yescharacteristic
353C2×C59#328411yescharacteristic
354C2×C59#333511yescharacteristic
355C2×C59#333711yescharacteristic
356D59—82no—
357C22×SD16—591no—
358C23×C8—591no—
359C2×#123—1181no—
360C2×C22⋊Q8C2×D5911yescharacteristic
361C2×#121—591no—
362C2×C4×Q8C2×D5911yescharacteristic
363C2×C4×D4—591no—
364#465—1184no—
365C4×SD16—1184no—
366C2×#106—591no—
367C2×#106—591no—
368C2×#106—591no—
369C2×#106—591no—
370C2×#106—591no—
371C2×#103—591no—
372C2×#103—591no—
373C2×#103—591no—
374C2×#102—591no—
375C2×#102—591no—
376C2×#102—591no—
377C2×C22⋊C8—591no—
378C2×C4×C8—591no—
379C2×C4×C8—591no—
380#399—21no—
381#398—21no—
382#397—1181no—
383#394—1181no—
384#391C2×D5911yescharacteristic
385#390—591no—
386#389—591no—
387#389C2×D5911yescharacteristic
388#388—21no—
389#387—21no—
390#385—1181no—
391#384—591no—
392#384C2×D5911yescharacteristic
393#380—591no—
394#380C2×D5911yescharacteristic
395C4×C22⋊C4C2×D5911yescharacteristic
396#340—591no—
397#340—591no—
398#340—591no—
399#340—591no—
400#336—591no—
401#336—591no—
402C59#2503011yescharacteristic, complemented, Sylow
403C22×Q8C22×D5911yescharacteristic
404C22×D4—591no—
405C22×D4—1181no—
406C23×C4—1181no—
407C23×C4C22×D5911yescharacteristic
408C2×SD16—594no—
409C2×SD16—1182no—
410C2×SD16—1182no—
411C22×C8—591no—
412C22×C8—591no—
413C22×C8—591no—
414C22×C8—591no—
415C22×C8—1182no—
416C22×C8—1182no—
417C22×C8—1182no—
418#123—2364no—
419C22⋊Q8—22no—
420C22⋊Q8—41no—
421#121—1182no—
422#121—2361no—
423C4×Q8—22no—
424C4×Q8—41no—
425C4×D4—1182no—
426C4×D4—2361no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—591no—
433C2×C4⋊C4—591no—
434C2×C4⋊C4—591no—
435C2×C4⋊C4—1181no—
436C2×C4⋊C4—1181no—
437C2×C4⋊C4—1181no—
438C2×C4⋊C4C22×D5911yescharacteristic
439C2×C4⋊C4C22×D5911yescharacteristic
440C2×C4⋊C4C22×D5911yescharacteristic
441C2×C22⋊C4—21no—
442C2×C22⋊C4—21no—
443C2×C22⋊C4—1181no—
444C2×C22⋊C4—1181no—
445C2×C22⋊C4—1181no—
446C2×C22⋊C4—1181no—
447C2×C22⋊C4—1181no—
448C2×C22⋊C4C22⋊D5911yescharacteristic
449C2×C22⋊C4C22⋊D5911yescharacteristic
450C2×C42—21no—
451C2×C42C22×D5911yescharacteristic
452C2×C42C22×D5911yescharacteristic
453#106—1182no—
454#106—1182no—
455#106—1182no—
456#106—2361no—
457#106—2361no—
458#103—1182no—
459#103—1182no—
460#103—1182no—
461#102—1182no—
462#102—1182no—
463#102—1182no—
464C22⋊C8—1182no—
465C4×C8—1182no—
466C4×C8—1182no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95—21no—
471#95—1181no—
472#95—1181no—
473#95C22⋊D5911yescharacteristic
474#95C22⋊D5911yescharacteristic
475C24—1181no—
476C24C2×C22⋊D5911yescharacteristic
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8D4×D5912yes—
483C2×D4—592no—
484C2×D4—1181no—
485C2×D4—1181no—
486C2×D4—1181no—
487C2×D4—1181no—
488C2×D4—1181no—
489C2×D4—4721no—
490C2×D4—2362no—
491C2×D4—2362no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—1181no—
503C22×C4—1181no—
504C22×C4—1181no—
505C22×C4—4721no—
506C22×C4—2362no—
507C22×C4—2362no—
508C22×C4C2×C22⋊D5911yescharacteristic
509C22×C4C2×C22⋊D5911yescharacteristic
510C22×C4C2×C22⋊D5911yescharacteristic
511C22×C4C2×C22⋊D5911yescharacteristic
512C22×C4C2×C22⋊D5911yescharacteristic
513C22×C4C23×D5911yescharacteristic
514SD16—1188no—
515C2×C8—592no—
516C2×C8—592no—
517C2×C8—592no—
518C2×C8—592no—
519C2×C8—1181no—
520C2×C8—1181no—
521C2×C8—1181no—
522C2×C8—1181no—
523C2×C8—1181no—
524C2×C8—1181no—
525C2×C8—1181no—
526C2×C8—1181no—
527C2×C8—2364no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—42no—
535C4⋊C4—42no—
536C4⋊C4—42no—
537C4⋊C4—81no—
538C4⋊C4—81no—
539C4⋊C4—1181no—
540C4⋊C4—1181no—
541C4⋊C4—1181no—
542C4⋊C4—1181no—
543C4⋊C4—1181no—
544C4⋊C4—1181no—
545C4⋊C4—4721no—
546C4⋊C4—2362no—
547C4⋊C4—2362no—
548C22⋊C4—22no—
549C22⋊C4—42no—
550C22⋊C4—81no—
551C22⋊C4—2362no—
552C22⋊C4—2362no—
553C22⋊C4—2362no—
554C22⋊C4—2362no—
555C22⋊C4—2362no—
556C22⋊C4#1174567114yescomplemented
557C42—21no—
558C42—21no—
559C42—21no—
560C42—21no—
561C42—42no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—1182no—
569C23—2361no—
570C23—2361no—
571C23—2361no—
572C23—2361no—
573C23—2361no—
574C23—2361no—
575C23C2×#1174567112yes—
576C23C22×C22⋊D5911yescharacteristic
577Q8—22no—
578Q8—22no—
579Q8—41no—
580Q8—41no—
581D4—1182no—
582D4—1182no—
583D4—4724no—
584D4—2361no—
585D4—2361no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—22no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—4724no—
615C2×C4—2361no—
616C2×C4—2361no—
617C2×C4—2361no—
618C2×C4—2361no—
619C2×C4—2361no—
620C2×C4—2361no—
621C2×C4—2361no—
622C2×C4—2361no—
623C2×C4—2361no—
624C2×C4C2×#1174567112yes—
625C2×C4C2×#1174567112yes—
626C2×C4#1427374712yes—
627C2×C4C2×D4×D5911yescharacteristic
628C2×C4#41×D5911yescharacteristic
629C2×C4#41×D5911yescharacteristic
630C2×C4#41×D5911yescharacteristic
631C2×C4#1427377211yescharacteristic
632C2×C4#1427377411yescharacteristic
633C8—594no—
634C8—1182no—
635C8—2361no—
636C8—2361no—
637C22—22no—
638C22—22no—
639C22—22no—
640C22—41no—
641C22—41no—
642C22—41no—
643C22—41no—
644C22—4721no—
645C22—4721no—
646C22—4721no—
647C22—4721no—
648C22—2362no—
649C22—2362no—
650C22—2362no—
651C22#1683794811yescharacteristic
652C22D4×C22⋊D5911yescharacteristic
653C22#1683805111yescharacteristic
654C22C22×#1174567111yescharacteristic
655C22C2×#1427374711yescharacteristic
656C22#1683821011yescharacteristic
657C22#1683821311yescharacteristic
658C4—22no—
659C4—22no—
660C4—22no—
661C4—41no—
662C4—42no—
663C4—41no—
664C4—81no—
665C4—81no—
666C4—81no—
667C4—4721no—
668C4—4721no—
669C4—4721no—
670C4#123×D5911yescharacteristic
671C4#1683802011yescharacteristic
672C4#1683805011yescharacteristic
673C4#1683809711yescharacteristic
674C2—42no—
675C2—4722no—
676C2#2142760711yescharacteristic
677C2#2143465611yescharacteristic
678C2#2143470711yescharacteristic
679C2D4×#1174567111yescharacteristic
680C2#2143582611yescharacteristic
681C2#2143644711yescharacteristic
682C2#2143647511yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
FittingC59×#2423C2
socleC23×C59C22×D4
prime radicalC2×#14273701C22
hypercenter#2423D59
hypocenterC59#25030
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2423

Complements

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

NH ≅ G/Ntype
2. C2×C4×#11745671C2semidirect
4. #21425504C2semidirect
5. #21425500C2semidirect
6. #21425289C2semidirect
8. #21424953C2semidirect
9. #21424821C2semidirect
10. #21424364C2semidirect
11. #21424356C2semidirect
12. #21424252C2semidirect
13. #21424119C2semidirect
14. C22⋊C4×C59⋊C8C2semidirect
15. C59×#2423C2semidirect
186. C22⋊C4×C59SD16semidirect
294. C59⋊C8#123semidirect
335. #2423D59semidirect
402. C59#25030semidirect
556. C22⋊C4#11745671semidirect

Maximal subgroups

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

subgroupindex
C2×#168376332
C2×C4×#117456712
#214276102
#214255042
#214255002
#214252892
#214252852
#214249532
#214248212
#214243642
#214243562
#214242522
#214241192
C22⋊C4×C59⋊C82
C59×#24232
#2503059