Finite Group Databasebeta

← #10801764

Subgroups — #10801764

Order 768.

1098 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#97C211yesmaximal, characteristic, complemented
2C2×#5114C211yesmaximal, characteristic
3C4×#924C211yesmaximal, characteristic, complemented
4C4×#930C211yesmaximal, characteristic
5C2×#4710C211yesmaximal, characteristic, complemented
6#71973C211yesmaximal, characteristic
7#71972C211yesmaximal, characteristic, complemented
8#71971C211yesmaximal, characteristic, complemented
9#69826C211yesmaximal, characteristic, complemented
10#69820C211yesmaximal, characteristic, complemented
11#69818C211yesmaximal, characteristic, complemented
12#69817C211yesmaximal, characteristic, complemented
13#69814C211yesmaximal, characteristic, complemented
14#69813C211yesmaximal, characteristic, complemented
15#69812C211yesmaximal, characteristic, complemented
16#21528—31nomaximal, Sylow
17C23×C3×C8C2211yescharacteristic
18C23×C3×C8C2211yescharacteristic
19C22×C3×C42C2211yescharacteristic
20C2×#930C2211yescharacteristic
21C2×C4×#67—21no—
22C2×#924C2211yescharacteristic
23C22×#204C2211yescharacteristic
24C2×C4×D12C2211yescharacteristic
25C2×C4×Dic6C2211yescharacteristic
26C2×C3×#97—24no—
27C2×C3×#97C2211yescharacteristic
28C2×C3×#97C2211yescharacteristic
29C2×C3×#97C2211yescharacteristic
30C2×C3×#97C2211yescharacteristic
31#5213—21no—
32#5212C2211yescharacteristic
33#5212C2211yescharacteristic
34#5210—21no—
35C4×#217—21no—
36#5114C418yescomplemented
37C2×#821C2211yescharacteristic
38C2×#821C2211yescharacteristic
39C2×#821C2211yescharacteristic
40C2×#818C2211yescharacteristic
41C2×#818C2211yescharacteristic
42C2×#817C2211yescharacteristic
43C2×#816C2211yescharacteristic
44C2×#816C2211yescharacteristic
45C2×#816C2211yescharacteristic
46#4940—21no—
47#4939C2211yescharacteristic
48C4×(C2×D3)⋊C4—21no—
49C4×C4⋊Dic3C2211yescharacteristic
50C4×C4⋊Dic3C2211yescharacteristic
51#4933—21no—
52C4×Dic3⋊C4—21no—
53#4929C2211yescharacteristic
54#4928C2211yescharacteristic
55#4928C2211yescharacteristic
56#4710—24no—
57#4551C2211yescharacteristic
58#4551C2211yescharacteristic
59#4551C2211yescharacteristic
60#4551C2211yescharacteristic
61#4551C2211yescharacteristic
62#4551C2211yescharacteristic
63C2×#465—31no—
64C2×#440—31no—
65C22×#97D311yescharacteristic, complemented
66C4×C22⋊Q8—31no—
67C4×#121—31no—
68#1973—31no—
69#1944—31no—
70#1936—31no—
71#1935—31no—
72#1893—31no—
73#1892—31no—
74#1808—31no—
75#1776—31no—
76#1763—31no—
77#1762—31no—
78C23×C3×C4D411yescharacteristic
79C23×C3×C4D411yescharacteristic
80C23×C3×C4C2311yescharacteristic
81C22×#67—21no—
82C22×D12C2311yescharacteristic
83C22×C4×D3—21no—
84C22×Dic6C2311yescharacteristic
85C22×C3×C8—22no—
86C22×C3×C8—22no—
87C22×C3×C8—22no—
88C22×C3×C8—22no—
89C22×C3×C8—22no—
90C22×C3×C8C2×C414yescomplemented
91C22×C3×C8C2311yescharacteristic
92C22×C3×C8C2311yescharacteristic
93C22×C3×C8C2311yescharacteristic
94C22×C3×C8C2311yescharacteristic
95C2×C3×C42—22no—
96C2×C3×C42—22no—
97C2×C3×C42D411yescharacteristic
98C2×C3×C42D411yescharacteristic
99C2×C3×C42C2311yescharacteristic
100C2×C3×C42C2311yescharacteristic
101C2×#217—21no—
102C2×#217—21no—
103C2×#217—21no—
104#930—22no—
105#930C2×C414yes—
106C4×#67—44no—
107C2×(C2×D3)⋊C4—21no—
108C2×(C2×D3)⋊C4—21no—
109C2×(C2×D3)⋊C4—21no—
110C2×(C2×D3)⋊C4—21no—
111C2×C4⋊Dic3C2311yescharacteristic
112C2×C4⋊Dic3C2311yescharacteristic
113C2×C4⋊Dic3C2311yescharacteristic
114C2×C4⋊Dic3C2311yescharacteristic
115C2×C4⋊Dic3C2311yescharacteristic
116C2×C4⋊Dic3C2311yescharacteristic
117#924—22no—
118#924C2×C414yescomplemented
119C2×Dic3⋊C4—21no—
120C2×Dic3⋊C4—21no—
121C2×Dic3⋊C4—21no—
122C2×Dic3⋊C4—21no—
123C2×C4×Dic3—21no—
124C2×C4×Dic3—21no—
125C2×C4×Dic3—21no—
126C2×#204—22no—
127C2×#204—22no—
128C2×#204C2×C414yescomplemented
129C4×D12—22no—
130C4×D12—22no—
131C4×Dic6—22no—
132C4×Dic6—22no—
133C3×#97—22no—
134C3×#97—22no—
135C3×#97—22no—
136C3×#97D414yescomplemented
137C3⋊#95—21no—
138C3⋊#95—21no—
139C3⋊#95—21no—
140C3⋊#95—21no—
141C3⋊#95—21no—
142C3⋊#95—21no—
143C3⋊#95—21no—
144C3⋊#95—21no—
145#821—22no—
146#821—22no—
147#821C2×C414yescomplemented
148#818—22no—
149#818—22no—
150#817C2×C414yescomplemented
151#816—22no—
152#816—22no—
153#816C2×C414yescomplemented
154C22×SD16—31no—
155C23×C8C2×D311yescharacteristic
156C23×C8C2×D311yescharacteristic
157C2×C22⋊Q8—31no—
158C2×#121—31no—
159C2×C4×Q8—31no—
160C2×C4×D4—31no—
161C2×C4×D4—61no—
162C22×C42C2×D311yescharacteristic
163#465—38no—
164#440—64no—
165C2×#107—31no—
166C2×#107—31no—
167C2×#106—31no—
168C2×#103—31no—
169C2×#103—31no—
170C2×#103—31no—
171C2×#102—31no—
172C2×#102—31no—
173C2×#102—31no—
174C2×#97—24no—
175C2×#97C2×D311yescharacteristic
176C2×#97C2×D311yescharacteristic
177C2×#97C2×D311yescharacteristic
178C2×#97C2×D311yescharacteristic
179#391—31no—
180#390—31no—
181#389—31no—
182#389—31no—
183#388—61no—
184#387—61no—
185#386—61no—
186#385—61no—
187#380—31no—
188#380—31no—
189C4×C4⋊C4—31no—
190C4×C4⋊C4—31no—
191C4×C4⋊C4—61no—
192C4×C22⋊C4—61no—
193C4×C22⋊C4—61no—
194#340—31no—
195#340—31no—
196#340—31no—
197#340—31no—
198#340—31no—
199#340—31no—
200C24×C3C2×D411yescharacteristic
201C23×D3—21no—
202C22×C3×C4—21no—
203C22×C3×C4—21no—
204C22×C3×C4—21no—
205C22×C3×C4—21no—
206C22×C3×C4—22no—
207C22×C3×C4—22no—
208C22×C3×C4—22no—
209C22×C3×C4—22no—
210C22×C3×C4—41no—
211C22×C3×C4—41no—
212C22×C3×C4C22×C412yes—
213C22×C3×C4C2×D411yescharacteristic
214C22×C3×C4C2×D411yescharacteristic
215C22×C3×C4C2×D411yescharacteristic
216C22×C3×C4C2×D411yescharacteristic
217C22×C3×C4C2×D411yescharacteristic
218C22×C3×C4#4112yes—
219C22×C3×C4C2411yescharacteristic
220C2×#67—24no—
221C2×#67—42no—
222C2×#67—42no—
223C22×Dic3—21no—
224C22×Dic3—21no—
225C22×Dic3—21no—
226C22×Dic3—21no—
227C22×Dic3—21no—
228C22×Dic3—21no—
229C22×Dic3—21no—
230C2×D12—21no—
231C2×D12—21no—
232C2×D12—21no—
233C2×D12—21no—
234C2×D12—21no—
235C2×D12C22×C412yes—
236C2×C4×D3—42no—
237C2×C4×D3—42no—
238C2×C4×D3—42no—
239C2×Dic6—21no—
240C2×Dic6—21no—
241C2×Dic6—21no—
242C2×Dic6—21no—
243C2×Dic6—21no—
244C2×Dic6C22×C412yes—
245C2×C3×C8—28no—
246C2×C3×C8—21no—
247C2×C3×C8—21no—
248C2×C3×C8—21no—
249C2×C3×C8—21no—
250C2×C3×C8—21no—
251C2×C3×C8—21no—
252C2×C3×C8—28no—
253C2×C3×C8C22×C412yes—
254C2×C3×C8C22×C412yes—
255C2×C3×C8C2×D412yes—
256C2×C3×C8C2×D412yes—
257C2×C3×C8#4112yes—
258C2×C3×C8#4112yes—
259C3×C42—22no—
260C3×C42—22no—
261C3×C42—21no—
262C3×C42—21no—
263C3×C42C2×D412yes—
264C3×C42#4112yes—
265#217—24no—
266#217—42no—
267#217—42no—
268(C2×D3)⋊C4—24no—
269(C2×D3)⋊C4—42no—
270(C2×D3)⋊C4—42no—
271(C2×D3)⋊C4—42no—
272C4⋊Dic3—21no—
273C4⋊Dic3—21no—
274C4⋊Dic3—21no—
275C4⋊Dic3—21no—
276C4⋊Dic3—21no—
277C4⋊Dic3—21no—
278C4⋊Dic3—21no—
279C4⋊Dic3—21no—
280C4⋊Dic3—21no—
281C4⋊Dic3—21no—
282C4⋊Dic3C22×C412yes—
283C4⋊Dic3C22×C412yes—
284Dic3⋊C4—24no—
285Dic3⋊C4—42no—
286Dic3⋊C4—42no—
287Dic3⋊C4—42no—
288C4×Dic3—42no—
289C4×Dic3—42no—
290C4×Dic3—42no—
291#204—28no—
292C22×Q8—31no—
293C22×D4—31no—
294C22×D4—61no—
295C23×C4—61no—
296C23×C4D1211yescharacteristic
297C23×C4D1211yescharacteristic
298C23×C4C22×D311yescharacteristic
299C2×SD16—34no—
300C2×SD16—62no—
301C2×SD16—62no—
302C22×C8—22no—
303C22×C8—22no—
304C22×C8—22no—
305C22×C8—22no—
306C22×C8—22no—
307C22×C8C4×D314yescomplemented
308C22×C8C22×D311yescharacteristic
309C22×C8C22×D311yescharacteristic
310C22×C8C22×D311yescharacteristic
311C22×C8C22×D311yescharacteristic
312C22⋊Q8—34no—
313C22⋊Q8—62no—
314#121—34no—
315#121—62no—
316C4×Q8—62no—
317C4×Q8—62no—
318C4×D4—62no—
319C4×D4—62no—
320C4×D4—124no—
321C2×C4⋊C4—31no—
322C2×C4⋊C4—31no—
323C2×C4⋊C4—31no—
324C2×C4⋊C4—31no—
325C2×C4⋊C4—31no—
326C2×C4⋊C4—31no—
327C2×C4⋊C4—61no—
328C2×C4⋊C4—61no—
329C2×C4⋊C4—61no—
330C2×C4⋊C4—61no—
331C2×C22⋊C4—61no—
332C2×C22⋊C4—61no—
333C2×C22⋊C4—61no—
334C2×C22⋊C4—61no—
335C2×C22⋊C4—61no—
336C2×C22⋊C4—61no—
337C2×C22⋊C4—61no—
338C2×C42—22no—
339C2×C42—22no—
340C2×C42—61no—
341C2×C42—61no—
342C2×C42—61no—
343C2×C42D1211yescharacteristic
344C2×C42D1211yescharacteristic
345C2×C42C22×D311yescharacteristic
346C2×C42C22×D311yescharacteristic
347#107—62no—
348#107—62no—
349#106—34no—
350#103—34no—
351#103—62no—
352#103—62no—
353#102—34no—
354#102—62no—
355#102—62no—
356#97—22no—
357#97—22no—
358#97—22no—
359#97#6714yescomplemented
360#95—61no—
361#95—61no—
362#95—61no—
363#95—61no—
364#95—61no—
365#95—61no—
366#95—61no—
367#95—61no—
368C23×C3—21no—
369C23×C3—21no—
370C23×C3—21no—
371C23×C3—21no—
372C23×C3C4×D412yes—
373C23×C3AGL(1,ℤ/8)12yes—
374C23×C3#13712yes—
375C23×C3C22×D411yescharacteristic
376C22×D3—22no—
377C22×D3—41no—
378C22×D3—41no—
379C22×D3—41no—
380C22×D3—41no—
381C22×D3—41no—
382C22×D3—41no—
383C2×C3×C4—21no—
384C2×C3×C4—21no—
385C2×C3×C4—21no—
386C2×C3×C4—21no—
387C2×C3×C4—21no—
388C2×C3×C4—21no—
389C2×C3×C4—22no—
390C2×C3×C4—22no—
391C2×C3×C4—22no—
392C2×C3×C4—22no—
393C2×C3×C4—21no—
394C2×C3×C4—21no—
395C2×C3×C4—21no—
396C2×C3×C4—21no—
397C2×C3×C4—21no—
398C2×C3×C4—21no—
399C2×C3×C4—44no—
400C2×C3×C4—44no—
401C2×C3×C4C4×D412yes—
402C2×C3×C4#12112yes—
403C2×C3×C4#12112yes—
404C2×C3×C4C23×C411yescharacteristic
405C2×C3×C4C22×D411yescharacteristic
406C2×C3×C4C2×#4111yescharacteristic
407C2×C3×C4C2×#4111yescharacteristic
408C2×C3×C4C2×#4111yescharacteristic
409C2×C3×C4C2×#4111yescharacteristic
410#67—48no—
411C2×Dic3—22no—
412C2×Dic3—22no—
413C2×Dic3—22no—
414C2×Dic3—41no—
415C2×Dic3—41no—
416C2×Dic3—41no—
417C2×Dic3—41no—
418C2×Dic3—41no—
419C2×Dic3—41no—
420C2×Dic3—41no—
421C2×Dic3—41no—
422C2×Dic3—41no—
423C2×Dic3—41no—
424C2×Dic3—41no—
425C2×Dic3—41no—
426C2×Dic3—41no—
427C2×Dic3—41no—
428C2×Dic3—41no—
429C2×Dic3—41no—
430C2×Dic3—41no—
431C2×Dic3—41no—
432D12—22no—
433D12—22no—
434D12—41no—
435D12—41no—
436C4×D3—84no—
437Dic6—22no—
438Dic6—22no—
439Dic6—41no—
440Dic6—41no—
441C3×C8—22no—
442C3×C8—22no—
443C3×C8—22no—
444C3×C8C4×D414yescomplemented
445C24—61no—
446C24C2×D1211yescharacteristic
447C2×Q8—32no—
448C2×Q8—61no—
449C2×Q8—61no—
450C2×Q8—61no—
451C2×Q8—61no—
452C2×Q8—61no—
453C2×D4—32no—
454C2×D4—64no—
455C2×D4—61no—
456C2×D4—61no—
457C2×D4—61no—
458C2×D4—61no—
459C2×D4—61no—
460C2×D4—122no—
461C2×D4—122no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—41no—
471C22×C4—41no—
472C22×C4—61no—
473C22×C4—61no—
474C22×C4—61no—
475C22×C4—61no—
476C22×C4—61no—
477C22×C4—61no—
478C22×C4—61no—
479C22×C4—122no—
480C22×C4—122no—
481C22×C4—122no—
482C22×C4C2×C4×D312yes—
483C22×C4C2×D1211yescharacteristic
484C22×C4C2×D1211yescharacteristic
485C22×C4C2×D1211yescharacteristic
486C22×C4C2×D1211yescharacteristic
487C22×C4C2×D1211yescharacteristic
488C22×C4#23512yes—
489C22×C4C23×D311yescharacteristic
490SD16—68no—
491C2×C8—28no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—28no—
499C2×C8C2×C4×D312yes—
500C2×C8C2×C4×D312yes—
501C2×C8#23512yes—
502C2×C8#23512yes—
503C2×C8C2×#6712yes—
504C2×C8C2×#6712yes—
505C4⋊C4—32no—
506C4⋊C4—32no—
507C4⋊C4—64no—
508C4⋊C4—61no—
509C4⋊C4—61no—
510C4⋊C4—61no—
511C4⋊C4—61no—
512C4⋊C4—61no—
513C4⋊C4—61no—
514C4⋊C4—61no—
515C4⋊C4—61no—
516C4⋊C4—61no—
517C4⋊C4—61no—
518C4⋊C4—122no—
519C4⋊C4—122no—
520C4⋊C4—122no—
521C22⋊C4—64no—
522C22⋊C4—64no—
523C22⋊C4—122no—
524C22⋊C4—122no—
525C22⋊C4—122no—
526C22⋊C4—122no—
527C22⋊C4—122no—
528C42—22no—
529C42—22no—
530C42—21no—
531C42—21no—
532C42—122no—
533C42—122no—
534C42—122no—
535C42#23512yes—
536C42C2×#6712yes—
537C22×C3—22no—
538C22×C3—22no—
539C22×C3—22no—
540C22×C3—22no—
541C22×C3—22no—
542C22×C3—22no—
543C22×C3#44014yescomplemented
544C22×C3C2×C4×D411yescharacteristic
545C22×C3C2×#12111yescharacteristic
546C22×C3#53211yescharacteristic
547C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
548C22×C3C2×#13711yescharacteristic
549C22×C3#57511yescharacteristic
550C22×C3#57511yescharacteristic
551C2×D3—42no—
552C2×D3—42no—
553C2×D3—42no—
554C2×D3—81no—
555C2×D3—81no—
556C2×D3—81no—
557C2×D3—81no—
558C3×C4—22no—
559C3×C4—22no—
560C3×C4—22no—
561C3×C4—41no—
562C3×C4—41no—
563C3×C4C2×C4×D411yescharacteristic
564C3×C4C4×#4111yescharacteristic
565C3×C4#52511yescharacteristic
566C3×C4#52911yescharacteristic
567Dic3—42no—
568Dic3—42no—
569Dic3—42no—
570Dic3—81no—
571Dic3—81no—
572Dic3—81no—
573Dic3—81no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—62no—
579C23—121no—
580C23—121no—
581C23—121no—
582C23—121no—
583C23—121no—
584C23—121no—
585C23C4×D1212yes—
586C23#90812yes—
587C23#90912yes—
588C23C22×D1211yescharacteristic
589Q8—62no—
590Q8—62no—
591Q8—121no—
592Q8—121no—
593D4—62no—
594D4—62no—
595D4—128no—
596D4—121no—
597D4—121no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—44no—
615C2×C4—44no—
616C2×C4—62no—
617C2×C4—62no—
618C2×C4—62no—
619C2×C4—121no—
620C2×C4—121no—
621C2×C4—121no—
622C2×C4—121no—
623C2×C4—121no—
624C2×C4—121no—
625C2×C4—121no—
626C2×C4—121no—
627C2×C4—121no—
628C2×C4—121no—
629C2×C4—121no—
630C2×C4—121no—
631C2×C4—121no—
632C2×C4—121no—
633C2×C4—121no—
634C2×C4—121no—
635C2×C4—121no—
636C2×C4—121no—
637C2×C4—244no—
638C2×C4C4×D1212yes—
639C2×C4#93012yes—
640C2×C4#93012yes—
641C2×C4C22×C4×D311yescharacteristic
642C2×C4C2×#23511yescharacteristic
643C2×C4C2×#23511yescharacteristic
644C2×C4C2×#23511yescharacteristic
645C2×C4C2×#23511yescharacteristic
646C2×C4C22×#6711yescharacteristic
647C8—22no—
648C8—22no—
649C8—22no—
650C8C4×#6714yescomplemented
651C2×C3—24no—
652C2×C3C4×#12111yescharacteristic
653C2×C3C2×#44011yescharacteristic
654C2×C3#294311yescharacteristic
655C2×C3#305511yescharacteristic
656C2×C3#305611yescharacteristic
657C2×C3#318011yescharacteristic
658C2×C3#318111yescharacteristic
659D3—82no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—122no—
667C22—122no—
668C22—122no—
669C22—241no—
670C22—241no—
671C22—241no—
672C22—241no—
673C22#471014yescomplemented
674C22C2×C4×D1211yescharacteristic
675C22#547711yescharacteristic
676C22C2×#90811yescharacteristic
677C22C2×#90911yescharacteristic
678C22#574811yescharacteristic
679C22#574811yescharacteristic
680C22C2×#93011yescharacteristic
681C4—22no—
682C4—22no—
683C4—22no—
684C4—41no—
685C4—41no—
686C4—122no—
687C4—122no—
688C4—122no—
689C4—241no—
690C4—241no—
691C4—241no—
692C4—241no—
693C4C4×#23511yescharacteristic
694C4#547911yescharacteristic
695C4C2×C4×#6711yescharacteristic
696C4#579111yescharacteristic
697C3#2152811yescharacteristic, complemented, Sylow
698C2—24no—
699C2—242no—
700C2C2×#471011yescharacteristic
701C2#7849411yescharacteristic
702C2#7850011yescharacteristic
703C2#7850411yescharacteristic
704C2C4×#93011yescharacteristic
705C2#8377211yescharacteristic
706C2#8377611yescharacteristic
subgroupG/H
centerC23C22×D12
commutatorC2×C3×C4C23×C4
FrattiniC22×C4C23×D3
FittingC22×C3×#97C2
socleC23×C3C22×D4
prime radicalC2×#930C22
cosocleC22×C3×C4C24
hypercenterC22×#97D3
hypocenterC3#21528
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C22×C42 ◁ C22×#97

Complements

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

NH ≅ G/Ntype
1. C22×C3×#97C2semidirect
3. C4×#924C2semidirect
5. C2×#4710C2semidirect
7. #71972C2semidirect
8. #71971C2semidirect
9. #69826C2semidirect
10. #69820C2semidirect
11. #69818C2semidirect
12. #69817C2semidirect
13. #69814C2semidirect
14. #69813C2semidirect
15. #69812C2semidirect
36. #5114C4semidirect
65. C22×#97D3semidirect
90. C22×C3×C8C2×C4semidirect
118. #924C2×C4semidirect
128. C2×#204C2×C4semidirect
136. C3×#97D4semidirect
147. #821C2×C4semidirect
150. #817C2×C4semidirect
153. #816C2×C4semidirect
307. C22×C8C4×D3semidirect
359. #97#67semidirect
444. C3×C8C4×D4semidirect
543. C22×C3#440semidirect
650. C8C4×#67semidirect
673. C22#4710semidirect
697. C3#21528semidirect

Maximal subgroups

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

subgroupindex
C22×C3×#972
C2×#51142
C4×#9242
C4×#9302
C2×#47102
#719732
#719722
#719712
#698262
#698202
#698182
#698172
#698142
#698132
#698122
#215283