Finite Group Databasebeta

← #10732913

Subgroups — #10732913

Order 768.

2294 conjugacy classes of subgroups.

The subgroup lattice has 760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#947C211yesmaximal, characteristic
2C22×#894C211yesmaximal, characteristic
3C2×C3×#395C211yesmaximal, characteristic, complemented
4C2×#5230C211yesmaximal, characteristic, complemented
5C2×#4989C212yesmaximal, complemented
6#71570C212yesmaximal, complemented
7#71564C211yesmaximal, characteristic, complemented
8#69429C212yesmaximal, complemented
9#69428C212yesmaximal, complemented
10#69426C211yesmaximal, characteristic
11#69405C211yesmaximal, characteristic, complemented
12#15262—31nomaximal, Sylow
13C23×C3×Q8C2211yescharacteristic
14C23×D12C2211yescharacteristic
15C23×C4×D3C2211yescharacteristic
16C22×C3×C4⋊C4C2212yes—
17C22×C3×C4⋊C4C2211yescharacteristic
18C2×#947—24no—
19C2×#947—28no—
20C22×(C2×D3)⋊C4C2212yes—
21C22×(C2×D3)⋊C4C2211yescharacteristic
22C22×(C2×D3)⋊C4C2212yes—
23C22×(C2×D3)⋊C4C2211yescharacteristic
24C22×(C2×D3)⋊C4C2211yescharacteristic
25C22×(C2×D3)⋊C4C2212yes—
26C22×(C2×D3)⋊C4C2212yes—
27C22×Dic3⋊C4C2212yes—
28C22×Dic3⋊C4C2211yescharacteristic
29C22×C4×Dic3C2211yescharacteristic
30C2×#894—24no—
31C2×#894—24no—
32C2×#894—24no—
33C3×#395—24no—
34C2×C3×#95C2211yescharacteristic
35C2×C3×#95C2212yes—
36#5230—24no—
37C2×C3⋊#95C2212yes—
38C2×C3⋊#95C2212yes—
39C2×C3⋊#95C2212yes—
40C2×C3⋊#95C2211yescharacteristic
41C2×C3⋊#95C2212yes—
42C2×C3⋊#95C2212yes—
43#4989—28no—
44C22×#124—31no—
45C22×#123—31no—
46C2×#395—31no—
47C2×#395D311yescharacteristic, complemented
48C2×#385—32no—
49#1440—32no—
50#1439—32no—
51#1439—32no—
52#1438—31no—
53#1436—31no—
54#1436—31no—
55C24×D3C2311yescharacteristic
56C24×D3C2311yescharacteristic
57C22×C3×Q8—24no—
58C22×C3×Q8—22no—
59C22×C3×Q8—22no—
60C22×C3×Q8—22no—
61C22×C3×Q8—42no—
62C23×C3×C4C2311yescharacteristic
63C23×C3×C4C2312yes—
64C23×C3×C4C2311yescharacteristic
65C23×C3×C4C2312yes—
66C23×C3×C4C2311yescharacteristic
67C23×Dic3C2311yescharacteristic
68C23×Dic3C2312yes—
69C23×Dic3C2311yescharacteristic
70C23×Dic3C2312yes—
71C22×D12—24no—
72C22×D12—22no—
73C22×D12—22no—
74C22×D12—42no—
75C22×D12D414yes—
76C22×C4×D3—22no—
77C22×C4×D3—22no—
78C22×C4×D3—22no—
79C22×C4×D3—24no—
80C22×C4×D3—42no—
81C2×C3×C4⋊C4—22no—
82C2×C3×C4⋊C4—22no—
83C2×C3×C4⋊C4—24no—
84C2×C3×C4⋊C4—24no—
85C2×C3×C4⋊C4—42no—
86C2×C3×C4⋊C4D414yes—
87#947—232no—
88C2×(C2×D3)⋊C4—24no—
89C2×(C2×D3)⋊C4—22no—
90C2×(C2×D3)⋊C4—22no—
91C2×(C2×D3)⋊C4—22no—
92C2×(C2×D3)⋊C4—24no—
93C2×(C2×D3)⋊C4—24no—
94C2×(C2×D3)⋊C4—24no—
95C2×(C2×D3)⋊C4—22no—
96C2×(C2×D3)⋊C4—22no—
97C2×(C2×D3)⋊C4—22no—
98C2×(C2×D3)⋊C4—24no—
99C2×(C2×D3)⋊C4—24no—
100C2×(C2×D3)⋊C4—22no—
101C2×(C2×D3)⋊C4—22no—
102C2×(C2×D3)⋊C4—22no—
103C2×(C2×D3)⋊C4—24no—
104C2×(C2×D3)⋊C4—24no—
105C2×(C2×D3)⋊C4—24no—
106C2×(C2×D3)⋊C4—24no—
107C2×(C2×D3)⋊C4—42no—
108C2×(C2×D3)⋊C4D418yes—
109C2×Dic3⋊C4—22no—
110C2×Dic3⋊C4—22no—
111C2×Dic3⋊C4—24no—
112C2×Dic3⋊C4—24no—
113C2×Dic3⋊C4—42no—
114C2×Dic3⋊C4D414yes—
115C2×C4×Dic3—22no—
116C2×C4×Dic3—24no—
117#894—232no—
118C3×#95—22no—
119C3×#95—24no—
120C3⋊#95—22no—
121C3⋊#95—24no—
122C3⋊#95—24no—
123C3⋊#95—24no—
124C3⋊#95—24no—
125C3⋊#95—24no—
126C23×Q8C2×D311yescharacteristic
127C23×D4—31no—
128C24×C4—31no—
129C2×#124—68no—
130C2×#124—64no—
131C2×#123—64no—
132C2×#123—64no—
133C2×#123—64no—
134C22×C4⋊C4—31no—
135C22×C4⋊C4—32no—
136C22×C4⋊C4C2×D312yes—
137C22×C4⋊C4C2×D311yescharacteristic
138C22×C22⋊C4—32no—
139C22×C22⋊C4—31no—
140C22×C22⋊C4—31no—
141C22×C22⋊C4—31no—
142C22×C22⋊C4—32no—
143C22×C22⋊C4—32no—
144C22×C22⋊C4—32no—
145C22×C42—31no—
146#395—24no—
147#395—64no—
148#385—68no—
149C2×#95—31no—
150C2×#95—32no—
151C2×#95—32no—
152C2×#95—32no—
153C2×#95—32no—
154C2×#95—32no—
155C2×#95C2×D311yescharacteristic
156C2×#95C2×D312yes—
157C24×C3C2411yescharacteristic
158C23×D3—21no—
159C23×D3—21no—
160C23×D3—22no—
161C23×D3—22no—
162C23×D3—22no—
163C23×D3—22no—
164C23×D3—22no—
165C23×D3—22no—
166C23×D3—21no—
167C23×D3—21no—
168C23×D3—22no—
169C23×D3—22no—
170C23×D3—22no—
171C23×D3—22no—
172C23×D3—22no—
173C23×D3C2×D412yes—
174C23×D3C2×D412yes—
175C23×D3C2×D414yes—
176C2×C3×Q8—28no—
177C2×C3×Q8—48no—
178C2×C3×Q8—48no—
179C2×C3×Q8—44no—
180C2×C3×Q8—44no—
181C22×C3×C4—22no—
182C22×C3×C4—22no—
183C22×C3×C4—22no—
184C22×C3×C4—22no—
185C22×C3×C4—22no—
186C22×C3×C4—22no—
187C22×C3×C4—22no—
188C22×C3×C4—21no—
189C22×C3×C4—21no—
190C22×C3×C4—22no—
191C22×C3×C4—22no—
192C22×C3×C4—21no—
193C22×C3×C4—21no—
194C22×C3×C4—22no—
195C22×C3×C4—22no—
196C22×C3×C4—22no—
197C22×C3×C4—22no—
198C22×C3×C4—22no—
199C22×C3×C4—22no—
200C22×C3×C4—22no—
201C22×C3×C4—22no—
202C22×C3×C4—22no—
203C22×C3×C4C2×D414yes—
204C22×C3×C4C2×D412yes—
205C22×C3×C4C2×D412yes—
206C22×C3×C4C2×D412yes—
207C22×C3×C4C2×D412yes—
208C22×C3×C4C2×D412yes—
209C22×C3×C4#4114yes—
210C22×Dic3—22no—
211C22×Dic3—22no—
212C22×Dic3—22no—
213C22×Dic3—22no—
214C22×Dic3—22no—
215C22×Dic3—21no—
216C22×Dic3—21no—
217C22×Dic3—21no—
218C22×Dic3—21no—
219C22×Dic3—22no—
220C22×Dic3—22no—
221C22×Dic3—22no—
222C22×Dic3—22no—
223C22×Dic3—22no—
224C22×Dic3—22no—
225C22×Dic3—22no—
226C22×Dic3—22no—
227C22×Dic3—22no—
228C22×Dic3—22no—
229C22×Dic3—22no—
230C22×Dic3C2×D414yes—
231C22×Dic3C2×D412yes—
232C22×Dic3C2×D412yes—
233C22×Dic3#4114yes—
234C2×D12—28no—
235C2×D12—28no—
236C2×D12—44no—
237C2×D12—48no—
238C2×D12—48no—
239C2×C4×D3—28no—
240C2×C4×D3—48no—
241C2×C4×D3—48no—
242C2×C4×D3—44no—
243C2×C4×D3—44no—
244C3×C4⋊C4—28no—
245C3×C4⋊C4—48no—
246(C2×D3)⋊C4—28no—
247(C2×D3)⋊C4—28no—
248(C2×D3)⋊C4—28no—
249(C2×D3)⋊C4—216no—
250(C2×D3)⋊C4—216no—
251(C2×D3)⋊C4—216no—
252(C2×D3)⋊C4—48no—
253Dic3⋊C4—28no—
254Dic3⋊C4—48no—
255C4×Dic3—28no—
256C25—31no—
257C25—31no—
258C22×Q8—24no—
259C22×Q8—22no—
260C22×Q8—22no—
261C22×Q8—22no—
262C22×Q8—42no—
263C22×D4—34no—
264C22×D4—64no—
265C22×D4—62no—
266C22×D4—62no—
267C22×D4—122no—
268C23×C4—31no—
269C23×C4—32no—
270C23×C4—32no—
271C23×C4—31no—
272C23×C4—62no—
273C23×C4—62no—
274C23×C4—64no—
275C23×C4—62no—
276C23×C4—122no—
277C23×C4C22×D312yes—
278C23×C4C22×D312yes—
279C23×C4C22×D311yescharacteristic
280C23×C4C22×D311yescharacteristic
281C23×C4C22×D311yescharacteristic
282#124—632no—
283#123—632no—
284C2×C4⋊C4—22no—
285C2×C4⋊C4—22no—
286C2×C4⋊C4—24no—
287C2×C4⋊C4—24no—
288C2×C4⋊C4—34no—
289C2×C4⋊C4—42no—
290C2×C4⋊C4—62no—
291C2×C4⋊C4—62no—
292C2×C4⋊C4—64no—
293C2×C4⋊C4—64no—
294C2×C4⋊C4—122no—
295C2×C4⋊C4#6714yes—
296C2×C22⋊C4—38no—
297C2×C22⋊C4—62no—
298C2×C22⋊C4—62no—
299C2×C22⋊C4—62no—
300C2×C22⋊C4—64no—
301C2×C22⋊C4—64no—
302C2×C22⋊C4—62no—
303C2×C22⋊C4—62no—
304C2×C22⋊C4—62no—
305C2×C22⋊C4—64no—
306C2×C22⋊C4—64no—
307C2×C22⋊C4—64no—
308C2×C22⋊C4—64no—
309C2×C22⋊C4—64no—
310C2×C22⋊C4—64no—
311C2×C22⋊C4—62no—
312C2×C22⋊C4—62no—
313C2×C22⋊C4—62no—
314C2×C22⋊C4—64no—
315C2×C22⋊C4—64no—
316C2×C22⋊C4—122no—
317C2×C42—64no—
318C2×C42—62no—
319#95—22no—
320#95—24no—
321#95—64no—
322#95—64no—
323#95—64no—
324#95—64no—
325#95—62no—
326#95—64no—
327C23×C3C22×D411yescharacteristic
328C23×C3C22×D412yes—
329C23×C3C22×D411yescharacteristic
330C23×C3C22×D411yescharacteristic
331C23×C3C2×#4112yes—
332C23×C3C2×#4112yes—
333C23×C3H(5,𝔽2)12yes—
334C23×C32−1+412yes—
335C23×C32−1+412yes—
336C22×D3—22no—
337C22×D3—24no—
338C22×D3—22no—
339C22×D3—24no—
340C22×D3—24no—
341C22×D3—24no—
342C22×D3—24no—
343C22×D3—24no—
344C22×D3—24no—
345C22×D3—24no—
346C22×D3—22no—
347C22×D3—22no—
348C22×D3—22no—
349C22×D3—24no—
350C22×D3—24no—
351C22×D3—41no—
352C22×D3—41no—
353C22×D3—41no—
354C22×D3—41no—
355C22×D3—42no—
356C22×D3—42no—
357C22×D3—42no—
358C22×D3—42no—
359C22×D3—42no—
360C22×D3—42no—
361C22×D3—42no—
362C22×D3—41no—
363C22×D3—41no—
364C22×D3—42no—
365C22×D3—41no—
366C22×D3—41no—
367C22×D3—42no—
368C22×D3—42no—
369C22×D3—42no—
370C22×D3—42no—
371C22×D3—42no—
372C22×D3—42no—
373C22×D3—42no—
374C22×D3—42no—
375C22×D3—42no—
376C22×D3—42no—
377C22×D3#12014yes—
378C3×Q8—416no—
379C2×C3×C4—22no—
380C2×C3×C4—22no—
381C2×C3×C4—24no—
382C2×C3×C4—24no—
383C2×C3×C4—22no—
384C2×C3×C4—24no—
385C2×C3×C4—22no—
386C2×C3×C4—24no—
387C2×C3×C4—22no—
388C2×C3×C4—22no—
389C2×C3×C4—24no—
390C2×C3×C4—24no—
391C2×C3×C4—24no—
392C2×C3×C4—24no—
393C2×C3×C4—24no—
394C2×C3×C4—41no—
395C2×C3×C4—42no—
396C2×C3×C4—42no—
397C2×C3×C4—41no—
398C2×C3×C4—42no—
399C2×C3×C4—42no—
400C2×C3×C4—42no—
401C2×C3×C4—42no—
402C2×C3×C4—42no—
403C2×C3×C4—42no—
404C2×C3×C4—42no—
405C2×C3×C4—42no—
406C2×C3×C4—42no—
407C2×C3×C4#12014yes—
408C2×Dic3—24no—
409C2×Dic3—22no—
410C2×Dic3—22no—
411C2×Dic3—24no—
412C2×Dic3—22no—
413C2×Dic3—22no—
414C2×Dic3—24no—
415C2×Dic3—24no—
416C2×Dic3—24no—
417C2×Dic3—24no—
418C2×Dic3—24no—
419C2×Dic3—41no—
420C2×Dic3—42no—
421C2×Dic3—42no—
422C2×Dic3—41no—
423C2×Dic3—42no—
424C2×Dic3—42no—
425C2×Dic3—42no—
426C2×Dic3—42no—
427C2×Dic3—42no—
428C2×Dic3—42no—
429C2×Dic3—42no—
430C2×Dic3—42no—
431C2×Dic3—42no—
432D12—416no—
433C4×D3—416no—
434C24—34no—
435C24—32no—
436C24—32no—
437C24—61no—
438C24—62no—
439C24—62no—
440C24—62no—
441C24—62no—
442C24—62no—
443C24—61no—
444C24—61no—
445C24—62no—
446C24—62no—
447C24—62no—
448C24—62no—
449C24—62no—
450C24—62no—
451C24—61no—
452C24C23×D311yescharacteristic
453C2×Q8—28no—
454C2×Q8—48no—
455C2×Q8—48no—
456C2×Q8—44no—
457C2×Q8—44no—
458C2×D4—68no—
459C2×D4—68no—
460C2×D4—124no—
461C2×D4—128no—
462C2×D4—128no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—34no—
486C22×C4—32no—
487C22×C4—32no—
488C22×C4—34no—
489C22×C4—68no—
490C22×C4—62no—
491C22×C4—62no—
492C22×C4—62no—
493C22×C4—62no—
494C22×C4—62no—
495C22×C4—61no—
496C22×C4—61no—
497C22×C4—62no—
498C22×C4—62no—
499C22×C4—62no—
500C22×C4—62no—
501C22×C4—62no—
502C22×C4—62no—
503C22×C4—62no—
504C22×C4—62no—
505C22×C4—62no—
506C22×C4—62no—
507C22×C4—62no—
508C22×C4—61no—
509C22×C4—61no—
510C22×C4—128no—
511C22×C4—128no—
512C22×C4—124no—
513C22×C4—124no—
514C22×C4D3×D414yes—
515C22×C4D3×D412yes—
516C22×C4D3×D412yes—
517C22×C4#23914yes—
518C22×C4C2×#6712yes—
519C22×C4C2×#6712yes—
520C22×C4C2×#6712yes—
521C4⋊C4—28no—
522C4⋊C4—48no—
523C4⋊C4—68no—
524C4⋊C4—128no—
525C22⋊C4—616no—
526C22⋊C4—68no—
527C22⋊C4—68no—
528C22⋊C4—68no—
529C22⋊C4—616no—
530C22⋊C4—616no—
531C22⋊C4—128no—
532C42—68no—
533C22×C3C2×#12011yescharacteristic
534C22×C3C2×#12011yescharacteristic
535C22×C3#52512yes—
536C22×C3#53211yescharacteristic
537C22×C3#53211yescharacteristic
538C22×C3#53411yescharacteristic
539C22×C3#53612yes—
540C22×C3#53611yescharacteristic
541C22×C3#53611yescharacteristic
542C22×C3#54212yes—
543C22×C3#54212yes—
544C22×C3D4212yes—
545C22×C3D4212yes—
546C22×C3#54712yes—
547C22×C3#54712yes—
548C22×C3#54712yes—
549C22×C3#54712yes—
550C22×C3#54812yes—
551C22×C3#54812yes—
552C22×C3#55112yes—
553C22×C3#56312yes—
554C2×D3—24no—
555C2×D3—28no—
556C2×D3—44no—
557C2×D3—44no—
558C2×D3—42no—
559C2×D3—42no—
560C2×D3—44no—
561C2×D3—44no—
562C2×D3—44no—
563C2×D3—42no—
564C2×D3—44no—
565C2×D3—42no—
566C2×D3—42no—
567C2×D3—44no—
568C2×D3—82no—
569C2×D3—82no—
570C2×D3—82no—
571C2×D3—82no—
572C3×C4—24no—
573C3×C4—42no—
574C3×C4—44no—
575C3×C4—42no—
576C3×C4—44no—
577Dic3—42no—
578Dic3—44no—
579Dic3—42no—
580Dic3—44no—
581C23—34no—
582C23—64no—
583C23—64no—
584C23—64no—
585C23—62no—
586C23—64no—
587C23—62no—
588C23—64no—
589C23—64no—
590C23—64no—
591C23—64no—
592C23—64no—
593C23—62no—
594C23—62no—
595C23—62no—
596C23—64no—
597C23—122no—
598C23—122no—
599C23—122no—
600C23—121no—
601C23—121no—
602C23—122no—
603C23—122no—
604C23—121no—
605C23—122no—
606C23—121no—
607C23—122no—
608C23—122no—
609C23—122no—
610C23—121no—
611C23—122no—
612C23—121no—
613C23—122no—
614C23—122no—
615C23—122no—
616C23—122no—
617C23—121no—
618C23—122no—
619C23—121no—
620C23—122no—
621C23—122no—
622C23—122no—
623C23C2×D3×D411yescharacteristic
624C23C2×D3×D412yes—
625C23C2×D3×D411yescharacteristic
626C23#100412yes—
627C23C2×#23912yes—
628C23#100712yes—
629C23#100712yes—
630C23D3×#4112yes—
631C23C22×#6711yescharacteristic
632Q8—416no—
633D4—1216no—
634C2×C4—24no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—24no—
645C2×C4—22no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—64no—
663C2×C4—64no—
664C2×C4—62no—
665C2×C4—62no—
666C2×C4—64no—
667C2×C4—62no—
668C2×C4—62no—
669C2×C4—64no—
670C2×C4—64no—
671C2×C4—64no—
672C2×C4—64no—
673C2×C4—1216no—
674C2×C4—122no—
675C2×C4—122no—
676C2×C4—122no—
677C2×C4—122no—
678C2×C4—122no—
679C2×C4—122no—
680C2×C4—122no—
681C2×C4—122no—
682C2×C4—121no—
683C2×C4—121no—
684C2×C4—122no—
685C2×C4—122no—
686C2×C4—122no—
687C2×C4#93714yes—
688C2×C3#240311yescharacteristic
689C2×C3#240612yes—
690C2×C3#243211yescharacteristic
691C2×C3#243211yescharacteristic
692C2×C3#246112yes—
693C2×C3#246112yes—
694C2×C3#267412yes—
695C2×C3#267412yes—
696C2×C3#271712yes—
697D3—44no—
698D3—82no—
699C22—64no—
700C22—68no—
701C22—122no—
702C22—124no—
703C22—122no—
704C22—124no—
705C22—124no—
706C22—124no—
707C22—124no—
708C22—122no—
709C22—122no—
710C22—122no—
711C22—124no—
712C22—124no—
713C22—242no—
714C22—242no—
715C22—242no—
716C22—242no—
717C22D3×#12011yescharacteristic
718C22#558911yescharacteristic
719C22#559012yes—
720C22#562712yes—
721C22#563112yes—
722C22#563112yes—
723C22#563312yes—
724C22#563712yes—
725C22#564012yes—
726C22#572411yescharacteristic
727C22#572412yes—
728C22#572511yescharacteristic
729C22#572612yes—
730C22#572612yes—
731C22#573312yes—
732C22#573512yes—
733C22C2×#93711yescharacteristic
734C22D4×#6712yes—
735C22#581611yescharacteristic
736C22#581712yes—
737C22#583211yescharacteristic
738C4—24no—
739C4—42no—
740C4—44no—
741C4—42no—
742C4—44no—
743C4—122no—
744C4—124no—
745C4—122no—
746C4—124no—
747C3#1526211yescharacteristic, complemented, Sylow
748C2—124no—
749C2—242no—
750C2#7717612yes—
751C2#7724912yes—
752C2#7726012yes—
753C2#7726812yes—
754C2#8260411yescharacteristic
755C2#8275911yescharacteristic
756C2#8276712yes—
757C2#8325511yescharacteristic
758C2#8326512yes—
subgroupG/H
center, FrattiniC24C23×D3
commutator, socle, cosocleC24×C3C24
FittingC2×C3×#395C2
prime radicalC23×D12C22
hypercenterC2×#395D3
hypocenterC3#15262
LCSG ▷ C24×C3 ▷ C3
UCSC1 ◁ C24 ◁ C2×#395

Complements

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

NH ≅ G/Ntype
3. C2×C3×#395C2semidirect
4. C2×#5230C2semidirect
5. C2×#4989C2semidirect
6. #71570C2semidirect
7. #71564C2semidirect
8. #69429C2semidirect
9. #69428C2semidirect
11. #69405C2semidirect
47. C2×#395D3semidirect
747. C3#15262semidirect

Maximal subgroups

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

subgroupindex
C22×#9472
C22×#8942
C2×C3×#3952
C2×#52302
C2×#49892
#715702
#715642
#694292
#694282
#694262
#694052
#152623