Finite Group Databasebeta

← #29737494

Subgroups — #29737494

Order 15616.

1032 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×#16840052C211yesmaximal, characteristic, complemented
2C2×#16839760C211yesmaximal, characteristic
3#21449523C211yesmaximal, characteristic, complemented
4#21448644C211yesmaximal, characteristic
5#21447359C211yesmaximal, characteristic, complemented
6#21447211C211yesmaximal, characteristic, complemented
7#21447201C211yesmaximal, characteristic, complemented
8#21446961C211yesmaximal, characteristic, complemented
9#21446064C211yesmaximal, characteristic, complemented
10#21446010C211yesmaximal, characteristic, complemented
11#21446003C211yesmaximal, characteristic, complemented
12#21445851C211yesmaximal, characteristic, complemented
13#21445817C211yesmaximal, characteristic, complemented
14#21445756C211yesmaximal, characteristic
15C61×#1864C211yesmaximal, characteristic, complemented
16C22×#11758224C2211yescharacteristic
17C22×#11758189C2211yescharacteristic
18C2×#14519777C2211yescharacteristic
19C2×#14519755—21no—
20C2×D4×Dic61C2211yescharacteristic
21C2×C4⋊C4×D61C2211yescharacteristic
22#16840052—24no—
23C2×#14519710C2211yescharacteristic
24C2×#14519708C2211yescharacteristic
25C2×#14519708C2211yescharacteristic
26C2×C4⋊#92418C2211yescharacteristic
27C2×#14519706C2211yescharacteristic
28#16839760—24no—
29C2×#14519702C2211yescharacteristic
30C2×#14519702C2211yescharacteristic
31C2×#14519700C2211yescharacteristic
32C2×#14519700C2211yescharacteristic
33C2×#14519698C2211yescharacteristic
34C2×#14519698C2211yescharacteristic
35C2×#14519689C2211yescharacteristic
36#16839696—21no—
37#16839682—21no—
38#16839668C2211yescharacteristic
39#16839667C2211yescharacteristic
40#16839658C2211yescharacteristic
41#16839641—21no—
42#16839639—21no—
43#16839636—21no—
44#16839631C2211yescharacteristic
45#16839623—21no—
46#16839619C2211yescharacteristic
47#16839619C2211yescharacteristic
48C4×#11758198C2211yescharacteristic
49C2×#14519684—21no—
50#16839525C2211yescharacteristic
51#16839525C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839516C2211yescharacteristic
54C2×C4×D4×C61C2211yescharacteristic
55C2×#106×C61C2211yescharacteristic
56C2×#102×C61C2211yescharacteristic
57C2×#102×C61C2211yescharacteristic
58C61×#389C2211yescharacteristic
59C61×#340C2211yescharacteristic
60C61×#336C2211yescharacteristic
61C2×#11758224—22no—
62C2×#11758224—22no—
63C2×#11758224—22no—
64C2×#11758224—41no—
65C2×#11758224—41no—
66C2×#11758224Q814yescomplemented
67C22×Dic122—21no—
68C22×Dic122C2311yescharacteristic
69C22×C22⋊D61—21no—
70C23×Dic61—21no—
71C23×Dic61—21no—
72C22×C4×D61—21no—
73C22×C4×D61C2311yescharacteristic
74C2×#11758189—22no—
75C2×#11758189—22no—
76C2×#11758189—41no—
77C22×#92418C2311yescharacteristic
78C22×#92418C2311yescharacteristic
79#14519777—22no—
80#14519777—41no—
81#14519755—44no—
82D4×Dic61—22no—
83D4×Dic61—41no—
84C2×C4⋊Dic61—21no—
85C2×C4⋊Dic61C2311yescharacteristic
86C2×C4⋊Dic61C2311yescharacteristic
87C2×C4⋊Dic61C2311yescharacteristic
88C2×#11758196—21no—
89C2×#11758196—21no—
90C2×#11758196—21no—
91C2×#11758196—21no—
92C4⋊C4×D61—22no—
93C4⋊C4×D61—41no—
94C2×C22⋊Dic61—21no—
95C2×#11758198—21no—
96C2×#11758198—21no—
97C2×#11758198D411yescharacteristic
98C2×#11758198D411yescharacteristic
99C2×C4×Dic61C2311yescharacteristic
100#14519710—41no—
101#14519708—22no—
102#14519708—22no—
103C4⋊#92418—22no—
104#14519706—41no—
105#14519702—22no—
106#14519702—41no—
107#14519700—22no—
108#14519700—41no—
109#14519698—22no—
110#14519698D414yes—
111#14519689—22no—
112#14519684—21no—
113#14519684—21no—
114#14519684—21no—
115#14519684—21no—
116#14519684—21no—
117#14519684—21no—
118#14519684—21no—
119#14519684D411yescharacteristic
120#14519684D411yescharacteristic
121C22×D4×C61C2311yescharacteristic
122C23×C4×C61—21no—
123C22×C8×C61C2311yescharacteristic
124C22×C8×C61C2311yescharacteristic
125C4×D4×C61—22no—
126C4×D4×C61—41no—
127C2×C4⋊C4×C61—21no—
128C2×C4⋊C4×C61C2311yescharacteristic
129C2×C4⋊C4×C61C2311yescharacteristic
130C2×C4⋊C4×C61C2311yescharacteristic
131C2×C22⋊C4×C61—21no—
132C2×C42×C61C2311yescharacteristic
133#106×C61—41no—
134#102×C61—22no—
135#102×C61—22no—
136#95×C61—21no—
137C24×C61—21no—
138C23×D61C2×D411yescharacteristic
139C2×D4×C61—21no—
140C2×D4×C61—21no—
141C2×D4×C61—21no—
142C2×D4×C61C2×D412yes—
143C2×D4×C61C2×Q812yes—
144C2×D4×C61#4112yes—
145C22×C4×C61—21no—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61—42no—
149C22×C4×C61—42no—
150C22×C4×C61—81no—
151C22×C4×C61C2×D411yescharacteristic
152C22×C4×C61C2×D411yescharacteristic
153C22×C4×C61C2411yescharacteristic
154C2×C22⋊D61—24no—
155C2×C22⋊D61—42no—
156C2×C22⋊D61—42no—
157C22×Dic61—21no—
158C22×Dic61—21no—
159C22×Dic61—24no—
160C22×Dic61—21no—
161C22×Dic61—21no—
162C22×Dic61—42no—
163C22×Dic61—42no—
164C22×Dic61—42no—
165C22×Dic61—42no—
166C22×Dic61—81no—
167C22×Dic61C2×D411yescharacteristic
168C22×Dic61C2×D411yescharacteristic
169C22×Dic61C2×D411yescharacteristic
170#11758224—28no—
171#11758224—44no—
172#11758224—44no—
173#11758224—44no—
174C2×C4×D61—21no—
175C2×C4×D61—21no—
176C2×C4×D61—21no—
177C2×C4×D61—21no—
178C2×C4×D61—42no—
179C2×C4×D61—42no—
180C2×C4×D61—81no—
181C2×C4×D61C2×Q812yes—
182C2×C4×D61#4112yes—
183C2×Dic122—21no—
184C2×Dic122—21no—
185C2×Dic122—21no—
186C2×Dic122—21no—
187C2×Dic122—21no—
188C2×Dic122—42no—
189C2×Dic122—42no—
190C2×Dic122—81no—
191C2×Dic122C2×Q812yes—
192C2×C8×C61—21no—
193C2×C8×C61—21no—
194C2×C8×C61—21no—
195C2×C8×C61—21no—
196C2×C8×C61—21no—
197C2×C8×C61—21no—
198C4⋊C4×C61—21no—
199C4⋊C4×C61—21no—
200C4⋊C4×C61—21no—
201C4⋊C4×C61—21no—
202C4⋊C4×C61—21no—
203C4⋊C4×C61—21no—
204C4⋊C4×C61—42no—
205C22⋊C4×C61—42no—
206C42×C61—21no—
207C42×C61—21no—
208C22⋊Dic61—42no—
209#11758198—22no—
210#11758198—22no—
211#11758198—42no—
212#11758198—81no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—21no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218C4⋊Dic61—42no—
219C4⋊Dic61C2×D412yes—
220#11758196—42no—
221#11758196—42no—
222#11758196—42no—
223#11758196—81no—
224C4×Dic61—21no—
225C4×Dic61—21no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418—21no—
229C2×#92418—21no—
230C2×#92418—21no—
231C2×#92418C2×D412yes—
232#11758189—44no—
233C23×C61—22no—
234C23×C61—22no—
235C23×C61—22no—
236C23×C61—41no—
237C23×C61—41no—
238C23×C61—41no—
239C23×C61—41no—
240C23×C61C22×D411yescharacteristic
241C22×D61—21no—
242C22×D61—21no—
243C22×D61—21no—
244C22×D61—21no—
245C22×D61—21no—
246C22×D61—21no—
247C22×D61C22⋊Q812yes—
248D4×C61—22no—
249D4×C61—22no—
250D4×C61—22no—
251D4×C61C22⋊Q814yescomplemented
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61—21no—
257C2×C4×C61—41no—
258C2×C4×C61—41no—
259C2×C4×C61—41no—
260C2×C4×C61—41no—
261C2×C4×C61—41no—
262C2×C4×C61—41no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—84no—
267C2×C4×C61#13712yes—
268C2×C4×C61C22×D411yescharacteristic
269C2×C4×C61C22×Q811yescharacteristic
270C2×C4×C61C2×#4111yescharacteristic
271C2×C4×C61C2×#4111yescharacteristic
272C2×C4×C61H(5,𝔽2)11yescharacteristic
273C2×C4×C61H(5,𝔽2)11yescharacteristic
274C22⋊D61—48no—
275C2×Dic61—21no—
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—21no—
279C2×Dic61—22no—
280C2×Dic61—22no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—48no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—84no—
296C2×Dic61C22⋊Q812yes—
297C2×Dic61AGL(1,ℤ/8)12yes—
298C4×D61—22no—
299C4×D61—22no—
300C4×D61—22no—
301C4×D61—22no—
302C4×D61—84no—
303Dic122—22no—
304Dic122—22no—
305Dic122—41no—
306Dic122—41no—
307Dic122—84no—
308C8×C61—41no—
309C8×C61—41no—
310#92418—22no—
311#92418—41no—
312#25978—611nomaximal, Sylow
313C22×C61—24no—
314C22×C61—42no—
315C22×C61—42no—
316C22×C61—42no—
317C22×C61—42no—
318C22×C61—42no—
319C22×C61—42no—
320C22×C61C2×C22⋊Q811yescharacteristic
321C22×C61D4211yescharacteristic
322C22×C61#54611yescharacteristic
323C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
324C22×C61C2×#13711yescharacteristic
325C22×C61#57711yescharacteristic
326C22×C61#57711yescharacteristic
327C2×D61—22no—
328C2×D61—22no—
329C2×D61—22no—
330C2×D61—41no—
331C2×D61—41no—
332C2×D61—41no—
333C2×D61—41no—
334C4×C61—22no—
335C4×C61—41no—
336C4×C61—81no—
337C4×C61—81no—
338C4×C61—81no—
339C4×C61C2×C22⋊Q811yescharacteristic
340C4×C61#54311yescharacteristic
341C4×C61#54611yescharacteristic
342C4×C61#55111yescharacteristic
343Dic61—22no—
344Dic61—22no—
345Dic61—41no—
346Dic61—42no—
347Dic61—42no—
348Dic61—81no—
349Dic61—81no—
350C2×#476—611no—
351C2×#417—611no—
352#2440—611no—
353#2339—611no—
354#2096—611no—
355#2068—611no—
356#2066—611no—
357#2024—611no—
358#1864D6111yescharacteristic, complemented
359#1862—611no—
360#1853—611no—
361#1851—611no—
362#1809—611no—
363#1802—611no—
364#1788—611no—
365C2×C61—44no—
366C2×C61#243711yescharacteristic
367C2×C61#307911yescharacteristic
368C2×C61#308411yescharacteristic
369C2×C61#326611yescharacteristic
370C2×C61#327211yescharacteristic
371C2×C61#330611yescharacteristic
372C2×C61#333111yescharacteristic
373D61—42no—
374C22×#41—611no—
375C22×M16—611no—
376C2×C4⋊Q8—611no—
377C2×C22⋊Q8—1221no—
378C2×C4×D4—611no—
379C2×C4×D4C2×D6111yescharacteristic
380C22×C4⋊C4—611no—
381#476—1224no—
382C2×#107—611no—
383C2×#106—611no—
384C2×#106—611no—
385C2×#106C2×D6111yescharacteristic
386C2×C4⋊C8—611no—
387C2×C4⋊C8—611no—
388#417—1224no—
389C2×#103—611no—
390C2×#103—611no—
391C2×#103—611no—
392C2×#103—611no—
393C2×#102—611no—
394C2×#102—611no—
395C2×#102C2×D6111yescharacteristic
396C2×#102C2×D6111yescharacteristic
397C2×C22⋊C8—611no—
398#398—1221no—
399#395—1221no—
400#391—611no—
401#391—611no—
402#389—611no—
403#389C2×D6111yescharacteristic
404#386—1221no—
405#386—1221no—
406#385—1221no—
407#384—611no—
408#381—1221no—
409#380—611no—
410#380—611no—
411C4×C22⋊C4—611no—
412C2×#95—1221no—
413#340—611no—
414#340—611no—
415#340—611no—
416#340C2×D6111yescharacteristic
417#336—611no—
418#336C2×D6111yescharacteristic
419C61#2597811yescharacteristic, complemented, Sylow
420C2×#41—614no—
421C2×#41—1222no—
422C2×#41—1222no—
423C2×#41—1222no—
424C2×#41—2441no—
425C2×#41—2441no—
426C22×Q8—611no—
427C22×Q8—1221no—
428C22×D4—1221no—
429C22×D4C22×D6111yescharacteristic
430C23×C4—21no—
431C23×C4—611no—
432C23×C4—1221no—
433C23×C4—1221no—
434C23×C4—1221no—
435C2×M16—1222no—
436C2×M16—1222no—
437C2×M16—2441no—
438C22×C8—611no—
439C22×C8—611no—
440C22×C8C22×D6111yescharacteristic
441C22×C8C22×D6111yescharacteristic
442C4⋊Q8—1222no—
443C4⋊Q8—2441no—
444C22⋊Q8—2444no—
445C4×D4—22no—
446C4×D4—41no—
447C4×D4—1222no—
448C4×D4—2441no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—611no—
451C2×C4⋊C4—611no—
452C2×C4⋊C4—611no—
453C2×C4⋊C4—1222no—
454C2×C4⋊C4—1221no—
455C2×C4⋊C4—1221no—
456C2×C4⋊C4—1221no—
457C2×C4⋊C4—1221no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4—2441no—
460C2×C4⋊C4C22×D6111yescharacteristic
461C2×C4⋊C4C22×D6111yescharacteristic
462C2×C4⋊C4C22×D6111yescharacteristic
463C2×C22⋊C4—21no—
464C2×C22⋊C4—611no—
465C2×C22⋊C4—611no—
466C2×C22⋊C4—1221no—
467C2×C22⋊C4—1221no—
468C2×C22⋊C4—1221no—
469C2×C42—611no—
470C2×C42C22×D6111yescharacteristic
471#107—2441no—
472#106—41no—
473#106—1222no—
474#106—1222no—
475C4⋊C8—1222no—
476C4⋊C8—2441no—
477#103—1222no—
478#103—1222no—
479#103—2441no—
480#103—2441no—
481#102—22no—
482#102—22no—
483#102—614no—
484#102—1222no—
485C22⋊C8—1222no—
486#95—21no—
487#95—611no—
488#95—611no—
489#95—1221no—
490#95—1221no—
491#95—1221no—
492#95—1221no—
493#95—1221no—
494#95—1221no—
495#95—1221no—
496C24—21no—
497C24—611no—
498#41—1228no—
499#41—2444no—
500#41—2444no—
501#41—2444no—
502C2×Q8—612no—
503C2×Q8—1221no—
504C2×Q8—1221no—
505C2×Q8—1221no—
506C2×Q8—1221no—
507C2×Q8—1221no—
508C2×Q8—4881no—
509C2×Q8—2442no—
510C2×Q8—2442no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—1224no—
515C2×D4—2442no—
516C2×D4—2442no—
517C2×D4#1175822212yes—
518C2×D4D4×D6112yes—
519C2×D4Q8×D6112yes—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—81no—
526C22×C4—611no—
527C22×C4—611no—
528C22×C4—612no—
529C22×C4—612no—
530C22×C4—611no—
531C22×C4—1224no—
532C22×C4—1221no—
533C22×C4—1221no—
534C22×C4—1221no—
535C22×C4—1221no—
536C22×C4—1221no—
537C22×C4—1221no—
538C22×C4—1221no—
539C22×C4—1221no—
540C22×C4—4881no—
541C22×C4—4881no—
542C22×C4—2442no—
543C22×C4—2442no—
544C22×C4—2442no—
545C22×C4—2442no—
546C22×C4—2442no—
547C22×C4—2442no—
548C22×C4D4×D6111yescharacteristic
549C22×C4D4×D6111yescharacteristic
550C22×C4C23×D6111yescharacteristic
551M16—2444no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—612no—
559C2×C8—1221no—
560C2×C8—1221no—
561C2×C8—1221no—
562C2×C8—1221no—
563C2×C8—1221no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—42no—
571C4⋊C4—612no—
572C4⋊C4—1221no—
573C4⋊C4—1221no—
574C4⋊C4—1221no—
575C4⋊C4—1221no—
576C4⋊C4—1221no—
577C4⋊C4—4881no—
578C4⋊C4—2442no—
579C4⋊C4—2442no—
580C4⋊C4—2442no—
581C4⋊C4—2442no—
582C22⋊C4—42no—
583C22⋊C4—1222no—
584C22⋊C4—1222no—
585C22⋊C4—4881no—
586C22⋊C4—2442no—
587C22⋊C4—2442no—
588C42—21no—
589C42—21no—
590C42—1221no—
591C42—1221no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—612no—
600C23—1221no—
601C23—1221no—
602C23—1221no—
603C23—1221no—
604C23—1221no—
605C23—1221no—
606C23C2×D4×D6111yescharacteristic
607Q8—1222no—
608Q8—1222no—
609Q8—4884no—
610Q8—2441no—
611Q8—2441no—
612D4—22no—
613D4—22no—
614D4—22no—
615D4—2448no—
616D4#1451975514yescomplemented
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—84no—
632C2×C4—612no—
633C2×C4—612no—
634C2×C4—1221no—
635C2×C4—1221no—
636C2×C4—1221no—
637C2×C4—1221no—
638C2×C4—1222no—
639C2×C4—1222no—
640C2×C4—1222no—
641C2×C4—1222no—
642C2×C4—1222no—
643C2×C4—1221no—
644C2×C4—1221no—
645C2×C4—1222no—
646C2×C4—1221no—
647C2×C4—4884no—
648C2×C4—4884no—
649C2×C4—2448no—
650C2×C4—2441no—
651C2×C4—2441no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4—2441no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4—2441no—
658C2×C4—2441no—
659C2×C4—2441no—
660C2×C4#1451980612yes—
661C2×C4C2×D4×D6111yescharacteristic
662C2×C4C2×Q8×D6111yescharacteristic
663C2×C4#41×D6111yescharacteristic
664C2×C4C2×#1175822211yescharacteristic
665C2×C4#1451982211yescharacteristic
666C2×C4#1451982311yescharacteristic
667C8—41no—
668C8—41no—
669C8—1222no—
670C8—2441no—
671C22—24no—
672C22—42no—
673C22—42no—
674C22—42no—
675C22—42no—
676C22—42no—
677C22—42no—
678C22—1222no—
679C22—1222no—
680C22—1222no—
681C22—2441no—
682C22—2441no—
683C22—2441no—
684C22—2441no—
685C22C22⋊Q8×D6111yescharacteristic
686C22#1684039411yescharacteristic
687C22#1684040811yescharacteristic
688C22AGL(1,ℤ/8)×D6111yescharacteristic
689C22C2×#1451980611yescharacteristic
690C22#1684056911yescharacteristic
691C22#1684057211yescharacteristic
692C4—22no—
693C4—41no—
694C4—81no—
695C4—81no—
696C4—81no—
697C4—1222no—
698C4—1222no—
699C4—4881no—
700C4—4881no—
701C4—2442no—
702C4—2442no—
703C4—2441no—
704C4C2×#1451975511yescharacteristic
705C4#1684038711yescharacteristic
706C4#1684040411yescharacteristic
707C4#1684044111yescharacteristic
708C2—44no—
709C2—2442no—
710C2#2144948411yescharacteristic
711C2#2145563111yescharacteristic
712C2#2145568211yescharacteristic
713C2#2145733311yescharacteristic
714C2#2145741211yescharacteristic
715C2#2145778511yescharacteristic
716C2#2145813711yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#1864C2
socleC23×C61C22×D4
prime radicalC22×#11758224C22
hypercenter#1864D61
hypocenterC61#25978
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1864

Complements

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

NH ≅ G/Ntype
1. C2×#16840052C2semidirect
3. #21449523C2semidirect
5. #21447359C2semidirect
6. #21447211C2semidirect
7. #21447201C2semidirect
8. #21446961C2semidirect
9. #21446064C2semidirect
10. #21446010C2semidirect
11. #21446003C2semidirect
12. #21445851C2semidirect
13. #21445817C2semidirect
15. C61×#1864C2semidirect
66. C2×#11758224Q8semidirect
251. D4×C61C22⋊Q8semidirect
358. #1864D61semidirect
419. C61#25978semidirect
616. D4#14519755semidirect

Maximal subgroups

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

subgroupindex
C2×#168400522
C2×#168397602
#214495232
#214486442
#214473592
#214472112
#214472012
#214469612
#214460642
#214460102
#214460032
#214458512
#214458172
#214457562
C61×#18642
#2597861