Finite Group Databasebeta

← #15920348

Subgroups — #15920348

Order 3328.

1004 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11718752C211yesmaximal, characteristic, complemented
2C2×#11718627C211yesmaximal, characteristic
3#13117676C211yesmaximal, characteristic
4#13116365C211yesmaximal, characteristic, complemented
5#13116221C211yesmaximal, characteristic, complemented
6#13116207C211yesmaximal, characteristic, complemented
7#13115969C211yesmaximal, characteristic, complemented
8#13115103C211yesmaximal, characteristic, complemented
9#13115089C211yesmaximal, characteristic, complemented
10#13115024C211yesmaximal, characteristic, complemented
11#13115021C211yesmaximal, characteristic, complemented
12#13114867C211yesmaximal, characteristic, complemented
13#13114838C211yesmaximal, characteristic, complemented
14#13114774C211yesmaximal, characteristic
15C13×#2440C211yesmaximal, characteristic, complemented
16C22×#6127C2211yescharacteristic
17C2×C13×C4⋊Q8C2211yescharacteristic
18C2×C13×C22⋊Q8—21no—
19C22×C13×C4⋊C4C2211yescharacteristic
20C22×#6099C2211yescharacteristic
21C2×C4×Dic26C2211yescharacteristic
22C2×C4×Dic26C2211yescharacteristic
23C13×#398—21no—
24C13×#395—21no—
25C13×#389C2211yescharacteristic
26C13×#389C2211yescharacteristic
27C13×#385—21no—
28C13×#384C2211yescharacteristic
29C13×#380C2211yescharacteristic
30C4×C13×C22⋊C4C2211yescharacteristic
31#11718873C2211yescharacteristic
32C2×C22⋊#1055C2211yescharacteristic
33#11718752—24no—
34C2×#88050C2211yescharacteristic
35C2×#88050C2211yescharacteristic
36C2×#88050C2211yescharacteristic
37C2×#88050C2211yescharacteristic
38#11718627—24no—
39C2×#88049C2211yescharacteristic
40C2×#88049C2211yescharacteristic
41C2×#88049C2211yescharacteristic
42C2×#88049C2211yescharacteristic
43C2×#88048C2211yescharacteristic
44C2×#88047C2211yescharacteristic
45C2×#88047C2211yescharacteristic
46C2×#88047C2211yescharacteristic
47#11718618—21no—
48#11718618—21no—
49#11718600C2211yescharacteristic
50#11718600C2211yescharacteristic
51C2×C4⋊#1055C2211yescharacteristic
52C2×C4⋊#1055C2211yescharacteristic
53#11718328—21no—
54#11718327—21no—
55#11718121C2211yescharacteristic
56#11718121C2211yescharacteristic
57#11718121C2211yescharacteristic
58#11718121C2211yescharacteristic
59#11718116C2211yescharacteristic
60#11718116C2211yescharacteristic
61C22×Q8×C13—21no—
62C23×C4×C13—21no—
63C23×C4×C13C2311yescharacteristic
64C22×C22⋊D13—21no—
65C2×#6127—22no—
66C2×#6127—22no—
67C2×#6127—22no—
68C2×#6127—41no—
69C2×#6127—41no—
70C2×#6127Q814yescomplemented
71C22×D52C2311yescharacteristic
72C22×C4×D13—21no—
73C22×Dic26C2311yescharacteristic
74C13×C4⋊Q8—22no—
75C13×C4⋊Q8—41no—
76C13×C22⋊Q8—44no—
77C2×C13×C4⋊C4—22no—
78C2×C13×C4⋊C4—21no—
79C2×C13×C4⋊C4—21no—
80C2×C13×C4⋊C4—21no—
81C2×C13×C4⋊C4—21no—
82C2×C13×C4⋊C4—21no—
83C2×C13×C4⋊C4—21no—
84C2×C13×C4⋊C4—41no—
85C2×C13×C4⋊C4C2311yescharacteristic
86C2×C13×C4⋊C4C2311yescharacteristic
87C2×C13×C4⋊C4C2311yescharacteristic
88C2×C13×C4⋊C4C2311yescharacteristic
89C2×C13×C22⋊C4—21no—
90C2×C13×C22⋊C4D411yescharacteristic
91C2×C13×C22⋊C4D411yescharacteristic
92C2×C42×C13C2311yescharacteristic
93C2×C42×C13C2311yescharacteristic
94C2×C22⋊Dic13—21no—
95C2×#6103—21no—
96C2×#6103—21no—
97C2×#6103—21no—
98C2×#6103—21no—
99C2×C4⋊Dic13C2311yescharacteristic
100C2×C4⋊Dic13C2311yescharacteristic
101C2×#6101—21no—
102C2×#6101—21no—
103C2×C4×Dic13—21no—
104C2×C4×Dic13—21no—
105C2×#6099—22no—
106C2×#6099—22no—
107C2×#6099—41no—
108C22×#1055C2311yescharacteristic
109C22×#1055C2311yescharacteristic
110C22×#1055C2311yescharacteristic
111C22×#1055C2311yescharacteristic
112C4×Dic26—22no—
113C4×Dic26—22no—
114C4×Dic26—41no—
115C4×Dic26—41no—
116C13×#95—21no—
117C13×#95—21no—
118C13×#95—21no—
119C13×#95D411yescharacteristic
120C13×#95D411yescharacteristic
121#88071—21no—
122C22⋊#1055—22no—
123#88050—22no—
124#88050—22no—
125#88050—22no—
126#88050D414yes—
127#88049—22no—
128#88049—22no—
129#88049—41no—
130#88049—41no—
131#88048—41no—
132#88047—22no—
133#88047—22no—
134#88047—41no—
135C4⋊#1055—22no—
136C4⋊#1055—41no—
137#25975—131nomaximal, Sylow
138C24×C13C2×D411yescharacteristic
139C23×D13—21no—
140C2×Q8×C13—42no—
141C2×Q8×C13—42no—
142C2×Q8×C13—81no—
143C22×C4×C13—21no—
144C22×C4×C13—21no—
145C22×C4×C13—21no—
146C22×C4×C13—21no—
147C22×C4×C13—21no—
148C22×C4×C13—21no—
149C22×C4×C13—21no—
150C22×C4×C13—21no—
151C22×C4×C13—42no—
152C22×C4×C13—42no—
153C22×C4×C13—81no—
154C22×C4×C13C2×D411yescharacteristic
155C22×C4×C13C2×D411yescharacteristic
156C22×C4×C13C2×D411yescharacteristic
157C22×C4×C13C2×D411yescharacteristic
158C22×C4×C13C2×D411yescharacteristic
159C22×C4×C13C2×Q812yes—
160C22×C4×C13#4112yes—
161C22×C4×C13C2411yescharacteristic
162C2×C22⋊D13—24no—
163C2×C22⋊D13—42no—
164C2×C22⋊D13—42no—
165C22×Dic13—21no—
166C22×Dic13—21no—
167C22×Dic13—21no—
168#6127—28no—
169#6127—44no—
170#6127—44no—
171#6127—44no—
172C2×D52—21no—
173C2×D52—21no—
174C2×D52—21no—
175C2×D52—21no—
176C2×D52—21no—
177C2×D52C2×Q812yes—
178C2×C4×D13—24no—
179C2×C4×D13—42no—
180C2×C4×D13—42no—
181C2×Dic26—21no—
182C2×Dic26—21no—
183C2×Dic26—21no—
184C2×Dic26C2×D412yes—
185C2×Dic26C2×Q812yes—
186C2×Dic26#4112yes—
187C13×C4⋊C4—21no—
188C13×C4⋊C4—21no—
189C13×C4⋊C4—21no—
190C13×C4⋊C4—21no—
191C13×C4⋊C4—21no—
192C13×C4⋊C4—21no—
193C13×C4⋊C4—21no—
194C13×C4⋊C4—42no—
195C13×C4⋊C4—42no—
196C13×C4⋊C4—42no—
197C13×C4⋊C4—42no—
198C13×C4⋊C4—42no—
199C13×C4⋊C4—81no—
200C13×C4⋊C4C2×D412yes—
201C13×C22⋊C4—22no—
202C13×C22⋊C4—22no—
203C13×C22⋊C4—42no—
204C42×C13—21no—
205C42×C13—21no—
206C42×C13—21no—
207C42×C13—21no—
208C22⋊Dic13—81no—
209#6103—42no—
210#6103—42no—
211#6103—81no—
212#6103—81no—
213C4⋊Dic13—21no—
214C4⋊Dic13—21no—
215C4⋊Dic13—21no—
216C4⋊Dic13—21no—
217#6101—42no—
218#6101—42no—
219C4×Dic13—42no—
220C4×Dic13—42no—
221#6099—44no—
222C2×#1055—21no—
223C2×#1055—21no—
224C2×#1055—21no—
225C2×#1055—21no—
226C2×#1055—21no—
227C2×#1055—21no—
228C2×#1055—21no—
229C2×#1055—21no—
230C2×#1055—21no—
231C2×#1055—21no—
232C2×#1055—21no—
233C2×#1055C2×D412yes—
234C2×#477—131no—
235C2×#417—131no—
236#2440D1311yescharacteristic, complemented
237#2341—131no—
238#2093—131no—
239#2067—131no—
240#2065—131no—
241#2023—131no—
242#1865—131no—
243#1863—131no—
244#1852—131no—
245#1851—131no—
246#1809—131no—
247#1803—131no—
248#1788—131no—
249C23×C13—21no—
250C23×C13—21no—
251C23×C13—21no—
252C23×C13—21no—
253C23×C13—21no—
254C23×C13—21no—
255C23×C13C22⋊Q812yes—
256C23×C13C22×D411yescharacteristic
257C22×D13—22no—
258C22×D13—41no—
259C22×D13—41no—
260C22×D13—41no—
261C22×D13—41no—
262C22×D13—41no—
263C22×D13—41no—
264Q8×C13—84no—
265C2×C4×C13—21no—
266C2×C4×C13—21no—
267C2×C4×C13—21no—
268C2×C4×C13—21no—
269C2×C4×C13—21no—
270C2×C4×C13—21no—
271C2×C4×C13—22no—
272C2×C4×C13—22no—
273C2×C4×C13—22no—
274C2×C4×C13—22no—
275C2×C4×C13—21no—
276C2×C4×C13—22no—
277C2×C4×C13—21no—
278C2×C4×C13—21no—
279C2×C4×C13—21no—
280C2×C4×C13—21no—
281C2×C4×C13—21no—
282C2×C4×C13—41no—
283C2×C4×C13—41no—
284C2×C4×C13—41no—
285C2×C4×C13—41no—
286C2×C4×C13—41no—
287C2×C4×C13—41no—
288C2×C4×C13—41no—
289C2×C4×C13—41no—
290C2×C4×C13—41no—
291C2×C4×C13—41no—
292C2×C4×C13—41no—
293C2×C4×C13—84no—
294C2×C4×C13C22⋊Q812yes—
295C2×C4×C13AGL(1,ℤ/8)12yes—
296C2×C4×C13#13712yes—
297C2×C4×C13C22×D411yescharacteristic
298C2×C4×C13C22×Q811yescharacteristic
299C2×C4×C13C2×#4111yescharacteristic
300C2×C4×C13C2×#4111yescharacteristic
301C2×C4×C13H(5,𝔽2)11yescharacteristic
302C2×C4×C13H(5,𝔽2)11yescharacteristic
303C22⋊D13—48no—
304C2×Dic13—22no—
305C2×Dic13—22no—
306C2×Dic13—22no—
307C2×Dic13—41no—
308C2×Dic13—41no—
309C2×Dic13—41no—
310C2×Dic13—41no—
311C2×Dic13—41no—
312C2×Dic13—41no—
313D52—22no—
314D52—22no—
315D52—41no—
316D52—41no—
317C4×D13—48no—
318Dic26—22no—
319Dic26—22no—
320Dic26—22no—
321Dic26C22⋊Q814yescomplemented
322#1055—22no—
323#1055—41no—
324#1055—41no—
325#1055—41no—
326C22×#41—131no—
327C22×M16—131no—
328C2×C4⋊Q8C2×D1311yescharacteristic
329C2×C22⋊Q8—21no—
330C2×C4×Q8—131no—
331C2×C4×Q8—131no—
332C22×C4⋊C4C2×D1311yescharacteristic
333#477—264no—
334C2×#107—131no—
335C2×#107—131no—
336C2×#107—131no—
337C2×#106—131no—
338C2×C4⋊C8—131no—
339C2×C4⋊C8—131no—
340#417—264no—
341C2×#103—131no—
342C2×#103—131no—
343C2×#103—131no—
344C2×#103—131no—
345C2×#102—131no—
346C2×#102—131no—
347C2×#102—131no—
348C2×#102—131no—
349C2×C22⋊C8—131no—
350#398—21no—
351#395—21no—
352#390—131no—
353#390—131no—
354#390—261no—
355#390—261no—
356#389C2×D1311yescharacteristic
357#389C2×D1311yescharacteristic
358#385—21no—
359#384C2×D1311yescharacteristic
360#380—131no—
361#380—261no—
362#380C2×D1311yescharacteristic
363C4×C22⋊C4—261no—
364C4×C22⋊C4C2×D1311yescharacteristic
365#340—131no—
366#340—131no—
367#340—131no—
368#340—131no—
369#336—131no—
370#336—131no—
371C22×C13—22no—
372C22×C13—22no—
373C22×C13—22no—
374C22×C13—41no—
375C22×C13—41no—
376C22×C13—41no—
377C22×C13—41no—
378C22×C13C2×C22⋊Q811yescharacteristic
379C22×C13D4211yescharacteristic
380C22×C13#54611yescharacteristic
381C22×C13C2×AGL(1,ℤ/8)11yescharacteristic
382C22×C13C2×#13711yescharacteristic
383C22×C13#57611yescharacteristic
384C22×C13#57811yescharacteristic
385C2×D13—42no—
386C2×D13—42no—
387C2×D13—42no—
388C2×D13—81no—
389C2×D13—81no—
390C2×D13—81no—
391C2×D13—81no—
392C4×C13—22no—
393C4×C13—22no—
394C4×C13—22no—
395C4×C13—41no—
396C4×C13—41no—
397C4×C13—42no—
398C4×C13—81no—
399C4×C13—81no—
400C4×C13—81no—
401C4×C13C2×C22⋊Q811yescharacteristic
402C4×C13#54311yescharacteristic
403C4×C13#54611yescharacteristic
404C4×C13#55111yescharacteristic
405Dic13—24no—
406Dic13—81no—
407Dic13—81no—
408C2×#41—134no—
409C2×#41—262no—
410C2×#41—262no—
411C2×#41—262no—
412C2×#41—521no—
413C2×#41—521no—
414C22×Q8—21no—
415C22×Q8—131no—
416C22×D4—131no—
417C22×D4—261no—
418C23×C4—21no—
419C23×C4—261no—
420C23×C4C22×D1311yescharacteristic
421C2×M16—262no—
422C2×M16—262no—
423C2×M16—521no—
424C22×C8—131no—
425C22×C8—131no—
426C22×C8—131no—
427C22×C8—131no—
428C4⋊Q8—22no—
429C4⋊Q8—41no—
430C22⋊Q8—44no—
431C4×Q8—262no—
432C4×Q8—262no—
433C4×Q8—521no—
434C4×Q8—521no—
435C2×C4⋊C4—22no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—21no—
441C2×C4⋊C4—21no—
442C2×C4⋊C4—41no—
443C2×C4⋊C4—131no—
444C2×C4⋊C4—131no—
445C2×C4⋊C4—261no—
446C2×C4⋊C4—261no—
447C2×C4⋊C4C22×D1311yescharacteristic
448C2×C4⋊C4C22×D1311yescharacteristic
449C2×C4⋊C4C22×D1311yescharacteristic
450C2×C4⋊C4C22×D1311yescharacteristic
451C2×C22⋊C4—21no—
452C2×C22⋊C4—261no—
453C2×C22⋊C4—261no—
454C2×C22⋊C4—261no—
455C2×C22⋊C4—261no—
456C2×C22⋊C4—261no—
457C2×C22⋊C4C22⋊D1311yescharacteristic
458C2×C22⋊C4C22⋊D1311yescharacteristic
459C2×C42—261no—
460C2×C42—261no—
461C2×C42C22×D1311yescharacteristic
462C2×C42C22×D1311yescharacteristic
463#107—262no—
464#107—262no—
465#107—521no—
466#106—521no—
467C4⋊C8—262no—
468C4⋊C8—521no—
469#103—134no—
470#103—262no—
471#103—262no—
472#103—262no—
473#102—262no—
474#102—262no—
475#102—521no—
476#102—521no—
477C22⋊C8—262no—
478#95—21no—
479#95—21no—
480#95—21no—
481#95—261no—
482#95C22⋊D1311yescharacteristic
483#95C22⋊D1311yescharacteristic
484C2×C13—42no—
485C2×C13#243711yescharacteristic
486C2×C13#307911yescharacteristic
487C2×C13#308311yescharacteristic
488C2×C13#327011yescharacteristic
489C2×C13#327411yescharacteristic
490C2×C13#330811yescharacteristic
491C2×C13#333311yescharacteristic
492D13—82no—
493C24—261no—
494C24C2×C22⋊D1311yescharacteristic
495#41—268no—
496#41—524no—
497#41—524no—
498#41—524no—
499C2×Q8—42no—
500C2×Q8—42no—
501C2×Q8—81no—
502C2×Q8—132no—
503C2×Q8—132no—
504C2×Q8—132no—
505C2×Q8—261no—
506C2×Q8—261no—
507C2×Q8—261no—
508C2×D4—132no—
509C2×D4—264no—
510C2×D4—261no—
511C2×D4—261no—
512C2×D4—261no—
513C2×D4—261no—
514C2×D4—261no—
515C2×D4—522no—
516C2×D4—522no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—81no—
528C22×C4—261no—
529C22×C4—264no—
530C22×C4—261no—
531C22×C4—261no—
532C22×C4—522no—
533C22×C4—522no—
534C22×C4Q8×D1312yes—
535C22×C4#613112yes—
536C22×C4C2×C22⋊D1311yescharacteristic
537C22×C4C2×C22⋊D1311yescharacteristic
538C22×C4C2×C22⋊D1311yescharacteristic
539C22×C4C2×C22⋊D1311yescharacteristic
540C22×C4C2×C22⋊D1311yescharacteristic
541C22×C4C23×D1311yescharacteristic
542M16—524no—
543C2×C8—132no—
544C2×C8—261no—
545C2×C8—261no—
546C2×C8—261no—
547C2×C8—261no—
548C2×C8—261no—
549C2×C8—261no—
550C2×C8—261no—
551C2×C8—261no—
552C2×C8—261no—
553C2×C8—261no—
554C2×C8—261no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—42no—
563C4⋊C4—42no—
564C4⋊C4—42no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—81no—
568C4⋊C4—261no—
569C4⋊C4—261no—
570C4⋊C4—261no—
571C4⋊C4—261no—
572C4⋊C4—522no—
573C4⋊C4—522no—
574C4⋊C4D4×D1312yes—
575C22⋊C4—22no—
576C22⋊C4—22no—
577C22⋊C4—42no—
578C22⋊C4—522no—
579C22⋊C4—522no—
580C22⋊C4—1041no—
581C22⋊C4—1041no—
582C22⋊C4—1041no—
583C42—21no—
584C42—21no—
585C42—21no—
586C42—21no—
587C42—522no—
588C42—522no—
589C13#2597511yescharacteristic, complemented, Sylow
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—262no—
597C23—521no—
598C23—521no—
599C23—521no—
600C23—521no—
601C23—521no—
602C23—521no—
603C23#8820012yes—
604C23C22×C22⋊D1311yescharacteristic
605Q8—84no—
606Q8—134no—
607Q8—262no—
608Q8—262no—
609Q8—262no—
610D4—262no—
611D4—262no—
612D4—528no—
613D4—521no—
614D4—521no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—22no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
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—41no—
642C2×C4—41no—
643C2×C4—84no—
644C2×C4—262no—
645C2×C4—262no—
646C2×C4—262no—
647C2×C4—528no—
648C2×C4—521no—
649C2×C4—521no—
650C2×C4—521no—
651C2×C4—521no—
652C2×C4—521no—
653C2×C4—521no—
654C2×C4#8818612yes—
655C2×C4#8819612yes—
656C2×C4#8820012yes—
657C2×C4C2×D4×D1311yescharacteristic
658C2×C4#8825111yescharacteristic
659C2×C4C2×Q8×D1311yescharacteristic
660C2×C4C2×#613111yescharacteristic
661C2×C4#41×D1311yescharacteristic
662C2×C4#8825611yescharacteristic
663C8—262no—
664C8—521no—
665C8—521no—
666C8—521no—
667C22—22no—
668C22—22no—
669C22—22no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—522no—
675C22—522no—
676C22—522no—
677C22—1041no—
678C22—1041no—
679C22—1041no—
680C22—1041no—
681C22C2×#8818611yescharacteristic
682C22D4×C22⋊D1311yescharacteristic
683C22C2×#8819611yescharacteristic
684C22C2×#8820011yescharacteristic
685C22#1171953411yescharacteristic
686C22#1171954011yescharacteristic
687C22#1171954311yescharacteristic
688C4—22no—
689C4—22no—
690C4—22no—
691C4—41no—
692C4—41no—
693C4—42no—
694C4—81no—
695C4—81no—
696C4—81no—
697C4—264no—
698C4—1041no—
699C4—1041no—
700C4D13×C22⋊Q811yescharacteristic
701C4#1171933511yescharacteristic
702C4#1171933911yescharacteristic
703C4#1171934211yescharacteristic
704C2—42no—
705C2—1042no—
706C2#1311849911yescharacteristic
707C2#1312464511yescharacteristic
708C2#1312468311yescharacteristic
709C2#1312640711yescharacteristic
710C2#1312645211yescharacteristic
711C2#1312682111yescharacteristic
712C2#1312716811yescharacteristic
subgroupG/H
centerC23C22×C22⋊D13
commutator, cosocleC22×C4×C13C24
FrattiniC22×C4C23×D13
FittingC13×#2440C2
socleC23×C13C22×D4
prime radicalC22×#6127C22
hypercenter#2440D13
hypocenterC13#25975
LCSG ▷ C22×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2440

Complements

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

NH ≅ G/Ntype
1. C2×#11718752C2semidirect
4. #13116365C2semidirect
5. #13116221C2semidirect
6. #13116207C2semidirect
7. #13115969C2semidirect
8. #13115103C2semidirect
9. #13115089C2semidirect
10. #13115024C2semidirect
11. #13115021C2semidirect
12. #13114867C2semidirect
13. #13114838C2semidirect
15. C13×#2440C2semidirect
70. C2×#6127Q8semidirect
236. #2440D13semidirect
321. Dic26C22⋊Q8semidirect
589. C13#25975semidirect

Maximal subgroups

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

subgroupindex
C2×#117187522
C2×#117186272
#131176762
#131163652
#131162212
#131162072
#131159692
#131151032
#131150892
#131150242
#131150212
#131148672
#131148382
#131147742
C13×#24402
#2597513