Finite Group Databasebeta

← #25151008

Subgroups — #25151008

Order 11008.

1024 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583518C211yesmaximal, characteristic
2C2×#14583309C211yesmaximal, characteristic, complemented
3#19140426C211yesmaximal, characteristic, complemented
4#19135796C211yesmaximal, characteristic, complemented
5#19135789C211yesmaximal, characteristic, complemented
6#19135782C211yesmaximal, characteristic
7#19135775C211yesmaximal, characteristic
8#19135556C211yesmaximal, characteristic, complemented
9#19135412C211yesmaximal, characteristic, complemented
10#19134861C211yesmaximal, characteristic, complemented
11#19134854C211yesmaximal, characteristic, complemented
12#19134847C211yesmaximal, characteristic, complemented
13#19134840C211yesmaximal, characteristic, complemented
14#19134362C211yesmaximal, characteristic, complemented
15C2×C43×#488C211yesmaximal, characteristic, complemented
16#14583518—24no—
17#14583518—24no—
18C2×#13063325C2211yescharacteristic
19C2×#13063318—21no—
20C2×#13063311—21no—
21C2×#13063309—21no—
22C2×#13063302—21no—
23C2×#13063301C2211yescharacteristic
24C2×#13063296C2211yescharacteristic
25C2×Q8×Dic43C2211yescharacteristic
26C2×D4×Dic43C2211yescharacteristic
27C2×#13063282C2211yescharacteristic
28#14583309—24no—
29C2×#13063258C2211yescharacteristic
30C2×#13063258C2211yescharacteristic
31C2×#13063256C2211yescharacteristic
32C2×#13063256C2211yescharacteristic
33C2×#13063249C2211yescharacteristic
34C2×#13063249C2211yescharacteristic
35C2×#13063246C2211yescharacteristic
36C2×#13063246C2211yescharacteristic
37C2×(C2×D43)⋊C8C2211yescharacteristic
38C2×(C2×D43)⋊C8C2211yescharacteristic
39C2×#13063236C2211yescharacteristic
40#14582832—21no—
41#14582832—21no—
42#14582821—21no—
43#14582821—21no—
44#14582795C2211yescharacteristic
45#14582795C2211yescharacteristic
46#14582769C2211yescharacteristic
47#14582756C2211yescharacteristic
48#14582756C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582662C2211yescharacteristic
51#14582662C2211yescharacteristic
52#14582662C2211yescharacteristic
53#14582653C2211yescharacteristic
54#14582653C2211yescharacteristic
55C2×#125×C43C2211yescharacteristic
56C2×#124×C43C2211yescharacteristic
57C43×#488—24no—
58C2×#103×C43C2211yescharacteristic
59C2×#103×C43C2211yescharacteristic
60C2×#102×C43C2211yescharacteristic
61C2×#102×C43C2211yescharacteristic
62C2×C4×C8×C43C2211yescharacteristic
63C22×Dic86—21no—
64C22×C22⋊D43—21no—
65C23×Dic43—21no—
66C22×C4×D43C2311yescharacteristic
67C22×C43⋊C8C2311yescharacteristic
68C22×C43⋊C8C2311yescharacteristic
69#13063325—22no—
70#13063325D414yes—
71#13063318—28no—
72#13063311—28no—
73#13063309—28no—
74#13063302—28no—
75#13063301—22no—
76#13063301—22no—
77#13063296—22no—
78#13063296—22no—
79Q8×Dic43—22no—
80Q8×Dic43—22no—
81D4×Dic43—22no—
82D4×Dic43—22no—
83#13063282—22no—
84#13063282—22no—
85C2×C4⋊Dic43—21no—
86C2×C4⋊Dic43—21no—
87C2×C4⋊Dic43—21no—
88C2×C4⋊Dic43—21no—
89C2×C4⋊Dic43C2311yescharacteristic
90C2×C4⋊Dic43C2311yescharacteristic
91C2×C4⋊Dic43C2311yescharacteristic
92C2×C4⋊Dic43C2311yescharacteristic
93C2×Dic43⋊C4—21no—
94C2×Dic43⋊C4—21no—
95C2×Dic43⋊C4—21no—
96C2×Dic43⋊C4D411yescharacteristic
97C2×Dic43⋊C4D411yescharacteristic
98C2×C22⋊Dic43—21no—
99C2×C22⋊Dic43—21no—
100C2×(C2×D43)⋊C4—21no—
101C2×(C2×D43)⋊C4—21no—
102C2×(C2×D43)⋊C4—21no—
103C2×(C2×D43)⋊C4D411yescharacteristic
104C2×(C2×D43)⋊C4D411yescharacteristic
105C2×C4×Dic43—21no—
106C2×C4×Dic43C2311yescharacteristic
107#13063258—22no—
108#13063258—22no—
109#13063256—22no—
110#13063256—22no—
111#13063249—22no—
112#13063249—22no—
113#13063246—22no—
114#13063246—22no—
115(C2×D43)⋊C8—22no—
116(C2×D43)⋊C8—22no—
117#13063236—22no—
118C43⋊#95—21no—
119C43⋊#95—21no—
120C43⋊#95—21no—
121C43⋊#95—21no—
122C22×Q8×C43C2311yescharacteristic
123C22×D4×C43C2311yescharacteristic
124C22×C8×C43C2311yescharacteristic
125C22×C8×C43C2311yescharacteristic
126#125×C43—22no—
127#125×C43—22no—
128#124×C43—22no—
129#124×C43D414yes—
130C2×C4⋊C4×C43—21no—
131C2×C4⋊C4×C43—21no—
132C2×C4⋊C4×C43C2311yescharacteristic
133C2×C4⋊C4×C43C2311yescharacteristic
134C2×C22⋊C4×C43—21no—
135C2×C22⋊C4×C43—21no—
136C2×C42×C43C2311yescharacteristic
137#103×C43—22no—
138#103×C43—22no—
139#102×C43—22no—
140#102×C43—22no—
141C4×C8×C43—22no—
142C24×C43—21no—
143C23×D43C2×D411yescharacteristic
144C2×Q8×C43—21no—
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43—21no—
149C2×Q8×C43C2×D412yes—
150C2×D4×C43—21no—
151C2×D4×C43—21no—
152C2×D4×C43—21no—
153C2×D4×C43—21no—
154C2×D4×C43—21no—
155C2×D4×C43C2×D412yes—
156C22×C4×C43—21no—
157C22×C4×C43—21no—
158C22×C4×C43—21no—
159C22×C4×C43C2×D411yescharacteristic
160C22×C4×C43C2×D411yescharacteristic
161C22×C4×C43C2411yescharacteristic
162C2×C22⋊D43—24no—
163C2×C22⋊D43—81no—
164C2×C22⋊D43—81no—
165C22×Dic43—24no—
166C22×Dic43—21no—
167C22×Dic43—21no—
168C22×Dic43—21no—
169C22×Dic43—21no—
170C22×Dic43—81no—
171C22×Dic43—81no—
172C22×Dic43C2×D411yescharacteristic
173C22×Dic43C2×D411yescharacteristic
174C22×Dic43C2×D411yescharacteristic
175C2×C4×D43—21no—
176C2×C4×D43—21no—
177C2×C4×D43—21no—
178C2×C4×D43—21no—
179C2×C4×D43—21no—
180C2×C4×D43—21no—
181C2×Dic86—24no—
182C2×Dic86—81no—
183C2×Dic86—81no—
184C2×C8×C43—21no—
185C2×C8×C43—21no—
186C2×C8×C43—21no—
187C2×C8×C43—21no—
188C2×C8×C43—21no—
189C2×C8×C43—21no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—21no—
194C4⋊C4×C43—42no—
195C4⋊C4×C43—42no—
196C22⋊C4×C43—24no—
197C22⋊C4×C43—24no—
198C42×C43C2×D412yes—
199C42×C43C2×D412yes—
200C22⋊Dic43—24no—
201C22⋊Dic43—24no—
202(C2×D43)⋊C4—24no—
203(C2×D43)⋊C4—22no—
204(C2×D43)⋊C4—22no—
205(C2×D43)⋊C4—81no—
206(C2×D43)⋊C4—81no—
207C4⋊Dic43—24no—
208C4⋊Dic43—24no—
209C4⋊Dic43—21no—
210C4⋊Dic43—21no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43—21no—
214C4⋊Dic43—21no—
215C4⋊Dic43—81no—
216C4⋊Dic43—81no—
217C4⋊Dic43C2×D412yes—
218C4⋊Dic43C2×D412yes—
219Dic43⋊C4—24no—
220Dic43⋊C4—22no—
221Dic43⋊C4—22no—
222Dic43⋊C4—81no—
223Dic43⋊C4—81no—
224C4×Dic43—24no—
225C4×Dic43—21no—
226C4×Dic43—21no—
227C2×C43⋊C8—21no—
228C2×C43⋊C8—21no—
229C2×C43⋊C8—21no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8#4112yes—
232C2×C43⋊C8#4112yes—
233C23×C43—22no—
234C23×C43—41no—
235C23×C43—41no—
236C23×C43—41no—
237C23×C43—41no—
238C23×C43—41no—
239C23×C43—41no—
240C23×C43C22×D411yescharacteristic
241C22×D43—21no—
242C22×D43—21no—
243C22×D43—21no—
244C22×D43—21no—
245C22×D43—21no—
246C22×D43—21no—
247C22×D43—21no—
248Q8×C43—22no—
249Q8×C43—22no—
250Q8×C43—41no—
251Q8×C43—41no—
252D4×C43—22no—
253D4×C43—22no—
254D4×C43—41no—
255D4×C43—41no—
256C2×C4×C43—21no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—22no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43#12012yes—
270C2×C4×C43#12012yes—
271C2×C4×C43C22×D411yescharacteristic
272C2×C4×C43C22×D411yescharacteristic
273C2×C4×C43C2×#4111yescharacteristic
274C2×C4×C43C2×#4111yescharacteristic
275C2×C4×C432−1+411yescharacteristic
276C2×C4×C432−1+411yescharacteristic
277C22⋊D43—84no—
278C2×Dic43—21no—
279C2×Dic43—21no—
280C2×Dic43—22no—
281C2×Dic43—21no—
282C2×Dic43—22no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—84no—
300C4×D43—41no—
301C4×D43—41no—
302C4×D43—41no—
303C4×D43—41no—
304Dic86—84no—
305C8×C43—41no—
306C8×C43—41no—
307C43⋊C8—22no—
308C43⋊C8—22no—
309#25684—431nomaximal, Sylow
310C22×C43—42no—
311C22×C43—42no—
312C22×C43—42no—
313C22×C43—81no—
314C22×C43—81no—
315C22×C43—81no—
316C22×C43—81no—
317C22×C43C2×#12011yescharacteristic
318C22×C43#53211yescharacteristic
319C22×C43#53611yescharacteristic
320C22×C43#57611yescharacteristic
321C22×C43#57711yescharacteristic
322C22×C43#57711yescharacteristic
323C22×C43#57811yescharacteristic
324C2×D43—41no—
325C2×D43—41no—
326C2×D43—41no—
327C2×D43—41no—
328C2×D43—41no—
329C2×D43—41no—
330C2×D43—41no—
331C4×C43—22no—
332C4×C43—22no—
333C4×C43—42no—
334C4×C43—81no—
335C4×C43—81no—
336C4×C43#54711yescharacteristic
337C4×C43#54711yescharacteristic
338C4×C43#54811yescharacteristic
339C4×C43#54811yescharacteristic
340Dic43—41no—
341Dic43—42no—
342Dic43—42no—
343Dic43—41no—
344Dic43—41no—
345Dic43—81no—
346Dic43—81no—
347C2×#542—431no—
348C2×#501—431no—
349C2×#488D4311yescharacteristic, complemented
350#2629—431no—
351#2036—431no—
352#2035—431no—
353#2034—431no—
354#2033—431no—
355#1990—431no—
356#1959—431no—
357#1865—431no—
358#1864—431no—
359#1863—431no—
360#1862—431no—
361#1750—431no—
362C2×C43—82no—
363C2×C43#243211yescharacteristic
364C2×C43#301211yescharacteristic
365C2×C43#301311yescharacteristic
366C2×C43#317811yescharacteristic
367C2×C43#317911yescharacteristic
368C2×C43#324311yescharacteristic
369C2×C43#324411yescharacteristic
370D43—81no—
371#542—864no—
372#542—864no—
373C2×C4⋊Q8—431no—
374C2×#126—861no—
375C2×#125C2×D4311yescharacteristic
376C2×#124—861no—
377C2×#124C2×D4311yescharacteristic
378C2×#123—861no—
379C2×C22⋊Q8—431no—
380C2×C22⋊Q8—861no—
381C2×#121—431no—
382C2×C4×Q8—431no—
383C2×C4×D4—431no—
384C2×#117—431no—
385#501—864no—
386#488—24no—
387C2×#107—431no—
388C2×#107—431no—
389C2×#106—431no—
390C2×#106—431no—
391C2×#103—431no—
392C2×#103—431no—
393C2×#103C2×D4311yescharacteristic
394C2×#103C2×D4311yescharacteristic
395C2×#102—431no—
396C2×#102—431no—
397C2×#102C2×D4311yescharacteristic
398C2×#102C2×D4311yescharacteristic
399C2×C22⋊C8—431no—
400C2×C22⋊C8—431no—
401C2×#97—431no—
402C2×C4×C8C2×D4311yescharacteristic
403#398—861no—
404#398—861no—
405#396—861no—
406#396—861no—
407#389—431no—
408#389—431no—
409#384—431no—
410#380—431no—
411#380—431no—
412#340—431no—
413#340—431no—
414#340—431no—
415#340—431no—
416#336—431no—
417#336—431no—
418C43#2568411yescharacteristic, complemented, Sylow
419C22×Q8—861no—
420C22×Q8C22×D4311yescharacteristic
421C22×D4—861no—
422C22×D4C22×D4311yescharacteristic
423C23×C4—431no—
424C23×C4—861no—
425C22×C8—431no—
426C22×C8—431no—
427C22×C8C22×D4311yescharacteristic
428C22×C8C22×D4311yescharacteristic
429C4⋊Q8—434no—
430C4⋊Q8—862no—
431#126—868no—
432#125—22no—
433#125—22no—
434#124—22no—
435#124—868no—
436#124C22⋊D4314yes—
437#123—868no—
438C22⋊Q8—868no—
439C22⋊Q8—862no—
440C22⋊Q8—862no—
441#121—862no—
442#121—862no—
443C4×Q8—862no—
444C4×Q8—862no—
445C4×D4—862no—
446C4×D4—862no—
447#117—862no—
448#117—862no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—431no—
452C2×C4⋊C4—431no—
453C2×C4⋊C4—431no—
454C2×C4⋊C4—431no—
455C2×C4⋊C4—431no—
456C2×C4⋊C4—431no—
457C2×C4⋊C4—861no—
458C2×C4⋊C4—861no—
459C2×C4⋊C4—861no—
460C2×C4⋊C4—861no—
461C2×C4⋊C4—861no—
462C2×C4⋊C4—861no—
463C2×C4⋊C4—861no—
464C2×C4⋊C4C22×D4311yescharacteristic
465C2×C4⋊C4C22×D4311yescharacteristic
466C2×C22⋊C4—21no—
467C2×C22⋊C4—21no—
468C2×C22⋊C4—431no—
469C2×C22⋊C4—431no—
470C2×C22⋊C4—861no—
471C2×C22⋊C4—861no—
472C2×C22⋊C4—861no—
473C2×C22⋊C4—861no—
474C2×C22⋊C4—861no—
475C2×C42—431no—
476C2×C42—861no—
477C2×C42C22×D4311yescharacteristic
478#107—862no—
479#107—862no—
480#106—862no—
481#106—862no—
482#103—22no—
483#103—22no—
484#103—862no—
485#103—862no—
486#102—22no—
487#102—22no—
488#102—862no—
489#102—862no—
490C22⋊C8—862no—
491C22⋊C8—862no—
492#97—862no—
493C4×C8—22no—
494#95—861no—
495#95—861no—
496#95—861no—
497#95—861no—
498C24—21no—
499C24—431no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—864no—
506C2×Q8—3441no—
507C2×Q8—3441no—
508C2×Q8C2×C22⋊D4312yes—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—864no—
515C2×D4—3441no—
516C2×D4—3441no—
517C2×D4C2×C22⋊D4312yes—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—431no—
522C22×C4—431no—
523C22×C4—431no—
524C22×C4—864no—
525C22×C4—861no—
526C22×C4—861no—
527C22×C4—861no—
528C22×C4—861no—
529C22×C4—861no—
530C22×C4—861no—
531C22×C4—861no—
532C22×C4—861no—
533C22×C4—861no—
534C22×C4—861no—
535C22×C4—3441no—
536C22×C4—3441no—
537C22×C4D4×D4311yescharacteristic
538C22×C4D4×D4311yescharacteristic
539C22×C4C23×D4311yescharacteristic
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—432no—
547C2×C8—432no—
548C2×C8—861no—
549C2×C8—861no—
550C2×C8—861no—
551C2×C8—861no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—42no—
557C4⋊C4—42no—
558C4⋊C4—432no—
559C4⋊C4—432no—
560C4⋊C4—864no—
561C4⋊C4—864no—
562C4⋊C4—862no—
563C4⋊C4—862no—
564C4⋊C4—864no—
565C4⋊C4—861no—
566C4⋊C4—861no—
567C4⋊C4—861no—
568C4⋊C4—861no—
569C4⋊C4—861no—
570C4⋊C4—861no—
571C4⋊C4—3441no—
572C4⋊C4—3441no—
573C4⋊C4—3441no—
574C4⋊C4—3441no—
575C22⋊C4—24no—
576C22⋊C4—24no—
577C22⋊C4—864no—
578C22⋊C4—864no—
579C22⋊C4—864no—
580C22⋊C4—862no—
581C22⋊C4—862no—
582C22⋊C4—3441no—
583C22⋊C4—3441no—
584C42—864no—
585C42—861no—
586C42—861no—
587C42D4×D4312yes—
588C42C2×C22⋊D4312yes—
589C23—22no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—861no—
597C23—861no—
598C23—861no—
599C23—861no—
600C23—861no—
601C23—861no—
602C23—861no—
603C23C2×D4×D4311yescharacteristic
604Q8—22no—
605Q8—22no—
606Q8—41no—
607Q8—41no—
608Q8—3444no—
609D4—22no—
610D4—22no—
611D4—41no—
612D4—41no—
613D4—3444no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—22no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—861no—
628C2×C4—862no—
629C2×C4—861no—
630C2×C4—862no—
631C2×C4—861no—
632C2×C4—861no—
633C2×C4—861no—
634C2×C4—861no—
635C2×C4—861no—
636C2×C4—861no—
637C2×C4—861no—
638C2×C4—3444no—
639C2×C4—1721no—
640C2×C4—1721no—
641C2×C4—1721no—
642C2×C4—1721no—
643C2×C4—1721no—
644C2×C4—1721no—
645C2×C4—1721no—
646C2×C4—1721no—
647C2×C4—1721no—
648C2×C4—1721no—
649C2×C4—1721no—
650C2×C4—1721no—
651C2×C4—1721no—
652C2×C4—1721no—
653C2×C4#1306329312yes—
654C2×C4#1306329312yes—
655C2×C4C2×D4×D4311yescharacteristic
656C2×C4C22×C22⋊D4311yescharacteristic
657C2×C4#41×D4311yescharacteristic
658C2×C4#41×D4311yescharacteristic
659C2×C4#1306337211yescharacteristic
660C2×C4#1306337211yescharacteristic
661C8—41no—
662C8—41no—
663C8—862no—
664C8—862no—
665C22—42no—
666C22—42no—
667C22—42no—
668C22—81no—
669C22—81no—
670C22—81no—
671C22—81no—
672C22—1721no—
673C22—1721no—
674C22—1721no—
675C22—1721no—
676C22—1721no—
677C22—1721no—
678C22—1721no—
679C22C2×#1306329311yescharacteristic
680C22#1458344811yescharacteristic
681C22#1458346911yescharacteristic
682C22#1458370111yescharacteristic
683C22#1458370611yescharacteristic
684C22#1458370611yescharacteristic
685C22#1458371311yescharacteristic
686C4—22no—
687C4—22no—
688C4—42no—
689C4—81no—
690C4—81no—
691C4—3441no—
692C4—3441no—
693C4—1721no—
694C4—1721no—
695C4—1722no—
696C4—1722no—
697C4—1721no—
698C4#1458354811yescharacteristic
699C4#1458354811yescharacteristic
700C4#1458355711yescharacteristic
701C4#1458355711yescharacteristic
702C2—82no—
703C2—3441no—
704C2#1913822611yescharacteristic
705C2#1914389511yescharacteristic
706C2#1914390611yescharacteristic
707C2#1914526211yescharacteristic
708C2#1914527711yescharacteristic
709C2#1914587111yescharacteristic
710C2#1914588611yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC2×C43×#488C2
socleC23×C43C22×D4
prime radicalC2×#13063296C22
hypercenterC2×#488D43
hypocenterC43#25684
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#488

Complements

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

NH ≅ G/Ntype
2. C2×#14583309C2semidirect
3. #19140426C2semidirect
4. #19135796C2semidirect
5. #19135789C2semidirect
8. #19135556C2semidirect
9. #19135412C2semidirect
10. #19134861C2semidirect
11. #19134854C2semidirect
12. #19134847C2semidirect
13. #19134840C2semidirect
14. #19134362C2semidirect
15. C2×C43×#488C2semidirect
349. C2×#488D43semidirect
418. C43#25684semidirect

Maximal subgroups

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

subgroupindex
C2×#145835182
C2×#145833092
#191404262
#191357962
#191357892
#191357822
#191357752
#191355562
#191354122
#191348612
#191348542
#191348472
#191348402
#191343622
C2×C43×#4882
#2568443