Finite Group Databasebeta

← #25005363

Subgroups — #25005363

Order 11008.

1122 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14582757C211yesmaximal, characteristic
2C2×#14582666C211yesmaximal, characteristic
3C2×#14582665C211yesmaximal, characteristic
4C2×#14582665C211yesmaximal, characteristic
5#19132817C211yesmaximal, characteristic
6#19132817C211yesmaximal, characteristic
7C2×C43×#342C211yesmaximal, characteristic
8C24×Dic43C2211yescharacteristic
9C22×Dic43⋊C4C412yescomplemented
10C22×C22⋊Dic43C2211yescharacteristic
11C22×C22⋊Dic43C2211yescharacteristic
12C22×C22⋊Dic43C2211yescharacteristic
13#14582757—22no—
14#14582757—22no—
15C2×C43⋊#95—22no—
16C2×C43⋊#95—22no—
17C2×C43⋊#95C412yescomplemented
18#14582666—22no—
19#14582665—22no—
20#14582665—22no—
21C22×C22⋊C4×C43C2211yescharacteristic
22C22×C22⋊C4×C43C2211yescharacteristic
23C22×C22⋊C4×C43C2211yescharacteristic
24C43×#342—22no—
25C23×Dic43—21no—
26C23×Dic43—21no—
27C23×Dic43—21no—
28C23×Dic43—21no—
29C23×Dic43—21no—
30C23×Dic43—21no—
31C23×Dic43—44no—
32C23×Dic43C2×C411yescharacteristic
33C23×Dic43C2×C412yes—
34C23×Dic43C2×C411yescharacteristic
35C23×Dic43D412yes—
36C23×Dic43D412yes—
37C2×Dic43⋊C4—22no—
38C2×Dic43⋊C4—22no—
39C2×Dic43⋊C4—44no—
40C2×C22⋊Dic43—21no—
41C2×C22⋊Dic43—21no—
42C2×C22⋊Dic43—21no—
43C2×C22⋊Dic43—21no—
44C2×C22⋊Dic43—21no—
45C2×C22⋊Dic43—21no—
46C2×C22⋊Dic43—21no—
47C2×C22⋊Dic43—21no—
48C2×C22⋊Dic43—21no—
49C2×C22⋊Dic43—21no—
50C2×C22⋊Dic43—21no—
51C2×C22⋊Dic43—21no—
52C2×C22⋊Dic43—21no—
53C2×C22⋊Dic43—21no—
54C2×C22⋊Dic43—21no—
55C2×C22⋊Dic43—21no—
56C2×C22⋊Dic43D412yes—
57C2×C22⋊Dic43Q812yes—
58C43⋊#95—24no—
59C43⋊#95—44no—
60C43⋊#95—44no—
61C25×C43C2311yescharacteristic
62C23×C4×C43—21no—
63C23×C4×C43—21no—
64C23×C4×C43C2×C412yes—
65C2×C22⋊C4×C43—21no—
66C2×C22⋊C4×C43—21no—
67C2×C22⋊C4×C43—21no—
68C2×C22⋊C4×C43—21no—
69C2×C22⋊C4×C43—21no—
70C2×C22⋊C4×C43—21no—
71C2×C22⋊C4×C43—21no—
72C2×C22⋊C4×C43—21no—
73C2×C22⋊C4×C43—21no—
74C2×C22⋊C4×C43—21no—
75C2×C22⋊C4×C43—21no—
76C2×C22⋊C4×C43—21no—
77C2×C22⋊C4×C43—21no—
78C2×C22⋊C4×C43—21no—
79C2×C22⋊C4×C43—21no—
80C2×C22⋊C4×C43—21no—
81C2×C22⋊C4×C43D412yes—
82C2×C22⋊C4×C43Q812yes—
83C24×C43—42no—
84C24×C43—42no—
85C24×C43C22×C411yescharacteristic
86C24×C43C2×D411yescharacteristic
87C24×C43C2×D411yescharacteristic
88C24×C43C2×D411yescharacteristic
89C24×C43C2×D411yescharacteristic
90C24×C43C2×Q811yescharacteristic
91C24×C43C2×Q811yescharacteristic
92C24×C43#4111yescharacteristic
93C24×C43#4111yescharacteristic
94C24×C43#4111yescharacteristic
95C24×C43#4111yescharacteristic
96C24×C43#4111yescharacteristic
97C24×C43#4111yescharacteristic
98C24×C43#4111yescharacteristic
99C24×C43#4111yescharacteristic
100C22×C4×C43—22no—
101C22×C4×C43—22no—
102C22×C4×C43—22no—
103C22×C4×C43—22no—
104C22×C4×C43—22no—
105C22×C4×C43—42no—
106C22×C4×C43—42no—
107C22×C4×C43—42no—
108C22×C4×C43—42no—
109C22×C4×C43—42no—
110C22×C4×C43—42no—
111C22×C4×C43—41no—
112C22×C4×C43—41no—
113C22×C4×C43—41no—
114C22×C4×C43—41no—
115C22×Dic43—24no—
116C22×Dic43—24no—
117C22×Dic43—24no—
118C22×Dic43—22no—
119C22×Dic43—21no—
120C22×Dic43—21no—
121C22×Dic43—21no—
122C22×Dic43—21no—
123C22×Dic43—22no—
124C22×Dic43—22no—
125C22×Dic43—22no—
126C22×Dic43—22no—
127C22×Dic43—22no—
128C22×Dic43—22no—
129C22×Dic43—22no—
130C22×Dic43—22no—
131C22×Dic43—42no—
132C22×Dic43—42no—
133C22×Dic43—42no—
134C22×Dic43—42no—
135C22×Dic43—42no—
136C22×Dic43—42no—
137C22×Dic43—42no—
138C22×Dic43—42no—
139C22×Dic43—42no—
140C22×Dic43—44no—
141C22×Dic43—44no—
142C22×Dic43—44no—
143C22×Dic43—44no—
144C22×Dic43—41no—
145C22×Dic43—41no—
146C22×Dic43—41no—
147C22×Dic43—41no—
148C22×Dic43C22⋊C412yes—
149C22×Dic43C22⋊C412yes—
150C22⋊C4×C43—22no—
151C22⋊C4×C43—22no—
152C22⋊C4×C43—22no—
153C22⋊C4×C43—22no—
154C22⋊C4×C43—41no—
155C22⋊C4×C43—41no—
156C22⋊C4×C43—41no—
157C22⋊C4×C43—41no—
158C22⋊C4×C43—41no—
159C22⋊C4×C43—41no—
160C22⋊C4×C43—41no—
161C22⋊C4×C43—41no—
162C22⋊Dic43—22no—
163C22⋊Dic43—22no—
164C22⋊Dic43—22no—
165C22⋊Dic43—22no—
166C22⋊Dic43—41no—
167C22⋊Dic43—41no—
168C22⋊Dic43—41no—
169C22⋊Dic43—41no—
170C22⋊Dic43—41no—
171C22⋊Dic43—41no—
172C22⋊Dic43—41no—
173C22⋊Dic43—41no—
174Dic43⋊C4—44no—
175Dic43⋊C4—44no—
176C23×C43—22no—
177C23×C43—22no—
178C23×C43—22no—
179C23×C43—22no—
180C23×C43—22no—
181C23×C43—22no—
182C23×C43—41no—
183C23×C43—41no—
184C23×C43—41no—
185C23×C43—41no—
186C23×C43—42no—
187C23×C43—42no—
188C23×C43—42no—
189C23×C43—42no—
190C23×C43—41no—
191C23×C43—41no—
192C23×C43—42no—
193C23×C43—42no—
194C23×C43—41no—
195C23×C43—42no—
196C23×C43—42no—
197C23×C43—41no—
198C23×C43C2×C22⋊C411yescharacteristic
199C23×C43#11711yescharacteristic
200C23×C43#11711yescharacteristic
201C23×C43C4×D411yescharacteristic
202C23×C43C4×D411yescharacteristic
203C23×C43C4×Q811yescharacteristic
204C23×C43C4×Q811yescharacteristic
205C23×C43#12111yescharacteristic
206C23×C43#12111yescharacteristic
207C23×C43C22⋊Q811yescharacteristic
208C23×C43C22⋊Q811yescharacteristic
209C23×C43C22⋊Q811yescharacteristic
210C23×C43C22⋊Q811yescharacteristic
211C23×C43C22⋊Q811yescharacteristic
212C23×C43C22⋊Q811yescharacteristic
213C23×C43#12311yescharacteristic
214C23×C43#12311yescharacteristic
215C23×C43#12311yescharacteristic
216C23×C43#12311yescharacteristic
217C23×C43#12311yescharacteristic
218C23×C43#12311yescharacteristic
219C23×C43#12311yescharacteristic
220C23×C43#12311yescharacteristic
221C23×C43#12411yescharacteristic
222C23×C43#12411yescharacteristic
223C23×C43#12511yescharacteristic
224C23×C43#12511yescharacteristic
225C23×C43#12511yescharacteristic
226C23×C43#12511yescharacteristic
227C23×C43#12611yescharacteristic
228C23×C43#12611yescharacteristic
229C23×C43#12611yescharacteristic
230C23×C43#12611yescharacteristic
231C23×C43#12711yescharacteristic
232C23×C43C4⋊Q811yescharacteristic
233C2×C4×C43—44no—
234C2×C4×C43—44no—
235C2×C4×C43—42no—
236C2×C4×C43—42no—
237C2×C4×C43—42no—
238C2×C4×C43—42no—
239C2×C4×C43—42no—
240C2×C4×C43—81no—
241C2×C4×C43—81no—
242C2×C4×C43—81no—
243C2×C4×C43—81no—
244C2×C4×C43—82no—
245C2×C4×C43—82no—
246C2×C4×C43—82no—
247C2×C4×C43—82no—
248C2×Dic43—24no—
249C2×Dic43—24no—
250C2×Dic43—22no—
251C2×Dic43—22no—
252C2×Dic43—22no—
253C2×Dic43—22no—
254C2×Dic43—22no—
255C2×Dic43—44no—
256C2×Dic43—44no—
257C2×Dic43—44no—
258C2×Dic43—44no—
259C2×Dic43—42no—
260C2×Dic43—42no—
261C2×Dic43—44no—
262C2×Dic43—44no—
263C2×Dic43—42no—
264C2×Dic43—42no—
265C2×Dic43—42no—
266C2×Dic43—42no—
267C2×Dic43—42no—
268C2×Dic43—81no—
269C2×Dic43—81no—
270C2×Dic43—81no—
271C2×Dic43—81no—
272C2×Dic43—82no—
273C2×Dic43—82no—
274C2×Dic43—82no—
275C2×Dic43—82no—
276C2×Dic43#9914yes—
277#11353—431nomaximal, Sylow
278C22×C43—21no—
279C22×C43—21no—
280C22×C43—21no—
281C22×C43—21no—
282C22×C43—21no—
283C22×C43—21no—
284C22×C43—21no—
285C22×C43—21no—
286C22×C43—21no—
287C22×C43—21no—
288C22×C43—21no—
289C22×C43—21no—
290C22×C43—22no—
291C22×C43—22no—
292C22×C43—22no—
293C22×C43—22no—
294C22×C43—22no—
295C22×C43—22no—
296C22×C43—22no—
297C22×C43—22no—
298C22×C43—22no—
299C22×C43—22no—
300C22×C43—22no—
301C22×C43—22no—
302C22×C43—41no—
303C22×C43—41no—
304C22×C43—41no—
305C22×C43—41no—
306C22×C43—41no—
307C22×C43—41no—
308C22×C43—41no—
309C22×C43—41no—
310C22×C43—41no—
311C22×C43—41no—
312C22×C43—41no—
313C22×C43—41no—
314C22×C43—41no—
315C22×C43—41no—
316C22×C43—41no—
317C22×C43—41no—
318C22×C43#38111yescharacteristic
319C22×C43#38711yescharacteristic
320C22×C43#38711yescharacteristic
321C22×C43#38711yescharacteristic
322C22×C43#38711yescharacteristic
323C22×C43#39011yescharacteristic
324C22×C43#39111yescharacteristic
325C22×C43#39711yescharacteristic
326C22×C43#39711yescharacteristic
327C22×C43#39811yescharacteristic
328C22×C43#39811yescharacteristic
329C22×C43#39911yescharacteristic
330C22×C43#39911yescharacteristic
331C22×C43#40011yescharacteristic
332C22×C43#40011yescharacteristic
333C22×C43C2×#9912yes—
334C22×C43#41012yes—
335C4×C43—82no—
336C4×C43—82no—
337C4×C43—82no—
338Dic43—24no—
339Dic43—42no—
340Dic43—82no—
341Dic43—82no—
342Dic43—82no—
343C2×#380—431no—
344C2×#342—431no—
345C2×#342—431no—
346C2×#342—431no—
347C2×#342D4311yescharacteristic
348C22⋊#95—431no—
349C22⋊#95—431no—
350C2×C43—21no—
351C2×C43—21no—
352C2×C43—21no—
353C2×C43—21no—
354C2×C43—21no—
355C2×C43—21no—
356C2×C43—21no—
357C2×C43—21no—
358C2×C43—21no—
359C2×C43—21no—
360C2×C43—21no—
361C2×C43—21no—
362C2×C43#144511yescharacteristic
363C2×C43#181911yescharacteristic
364C2×C43#182011yescharacteristic
365C2×C43#196412yes—
366C2×C43#199612yes—
367C24×C4—431no—
368C22×C4⋊C4—432no—
369C22×C22⋊C4—431no—
370C22×C22⋊C4—431no—
371C22×C22⋊C4—431no—
372C22×C22⋊C4C2×D4311yescharacteristic
373C22×C22⋊C4C2×D4311yescharacteristic
374C22×C22⋊C4C2×D4311yescharacteristic
375#380—862no—
376#380—862no—
377C2×#95—432no—
378C2×#95—862no—
379C2×#95—862no—
380#342—22no—
381#342—862no—
382#342—862no—
383#342—862no—
384C43#1135311yescharacteristic, complemented, Sylow
385C25C22×D4311yescharacteristic
386C23×C4—21no—
387C23×C4—21no—
388C23×C4—431no—
389C23×C4—432no—
390C23×C4—432no—
391C23×C4—431no—
392C23×C4—432no—
393C23×C4—861no—
394C23×C4—861no—
395C23×C4—861no—
396C23×C4—861no—
397C23×C4—861no—
398C23×C4—861no—
399C23×C4—1724no—
400C23×C4C4×D4312yes—
401C2×C4⋊C4—862no—
402C2×C4⋊C4—862no—
403C2×C4⋊C4—1724no—
404C2×C22⋊C4—21no—
405C2×C22⋊C4—21no—
406C2×C22⋊C4—21no—
407C2×C22⋊C4—21no—
408C2×C22⋊C4—21no—
409C2×C22⋊C4—21no—
410C2×C22⋊C4—21no—
411C2×C22⋊C4—21no—
412C2×C22⋊C4—21no—
413C2×C22⋊C4—21no—
414C2×C22⋊C4—21no—
415C2×C22⋊C4—21no—
416C2×C22⋊C4—21no—
417C2×C22⋊C4—21no—
418C2×C22⋊C4—21no—
419C2×C22⋊C4—21no—
420C2×C22⋊C4—432no—
421C2×C22⋊C4—432no—
422C2×C22⋊C4—861no—
423C2×C22⋊C4—861no—
424C2×C22⋊C4—861no—
425C2×C22⋊C4—861no—
426C2×C22⋊C4—861no—
427C2×C22⋊C4—861no—
428C2×C22⋊C4—861no—
429C2×C22⋊C4—861no—
430C2×C22⋊C4—861no—
431C2×C22⋊C4—861no—
432C2×C22⋊C4—861no—
433C2×C22⋊C4—861no—
434C2×C22⋊C4—861no—
435C2×C22⋊C4—861no—
436C2×C22⋊C4—861no—
437C2×C22⋊C4—861no—
438C2×C22⋊C4Dic8612yes—
439C2×C22⋊C4C22⋊D4312yes—
440#95—864no—
441#95—1724no—
442#95—1724no—
443C24—42no—
444C24—42no—
445C24C2×Dic8611yescharacteristic
446C24C2×C4×D4311yescharacteristic
447C24#1062189811yescharacteristic
448C24#1062189811yescharacteristic
449C24#1062189811yescharacteristic
450C24#1062189811yescharacteristic
451C24D4×D4311yescharacteristic
452C24D4×D4311yescharacteristic
453C24D4×D4311yescharacteristic
454C24#1062190011yescharacteristic
455C24#1062190011yescharacteristic
456C24#1062190011yescharacteristic
457C24Q8×D4311yescharacteristic
458C24#1062190211yescharacteristic
459C24C2×C22⋊D4311yescharacteristic
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—42no—
466C22×C4—42no—
467C22×C4—42no—
468C22×C4—42no—
469C22×C4—41no—
470C22×C4—41no—
471C22×C4—41no—
472C22×C4—41no—
473C22×C4—42no—
474C22×C4—42no—
475C22×C4—432no—
476C22×C4—432no—
477C22×C4—864no—
478C22×C4—864no—
479C22×C4—864no—
480C22×C4—861no—
481C22×C4—861no—
482C22×C4—861no—
483C22×C4—861no—
484C22×C4—862no—
485C22×C4—862no—
486C22×C4—862no—
487C22×C4—862no—
488C22×C4—862no—
489C22×C4—862no—
490C22×C4—862no—
491C22×C4—862no—
492C22×C4—862no—
493C22×C4—1722no—
494C22×C4—1722no—
495C22×C4—1722no—
496C22×C4—1724no—
497C22×C4—1724no—
498C22×C4—1724no—
499C22×C4—1724no—
500C22×C4—1722no—
501C22×C4—1722no—
502C22×C4—1722no—
503C22×C4—1722no—
504C22×C4—1721no—
505C22×C4—1721no—
506C22×C4—1721no—
507C22×C4—1721no—
508C22×C4—1722no—
509C22×C4—1722no—
510C4⋊C4—1724no—
511C4⋊C4—1724no—
512C22⋊C4—22no—
513C22⋊C4—22no—
514C22⋊C4—22no—
515C22⋊C4—22no—
516C22⋊C4—41no—
517C22⋊C4—41no—
518C22⋊C4—41no—
519C22⋊C4—41no—
520C22⋊C4—41no—
521C22⋊C4—41no—
522C22⋊C4—41no—
523C22⋊C4—41no—
524C22⋊C4—862no—
525C22⋊C4—862no—
526C22⋊C4—862no—
527C22⋊C4—862no—
528C22⋊C4—1721no—
529C22⋊C4—1721no—
530C22⋊C4—1721no—
531C22⋊C4—1721no—
532C22⋊C4—1721no—
533C22⋊C4—1721no—
534C22⋊C4—1721no—
535C22⋊C4—1721no—
536C23—22no—
537C23—22no—
538C23—22no—
539C23—22no—
540C23—22no—
541C23—22no—
542C23—41no—
543C23—41no—
544C23—41no—
545C23—41no—
546C23—42no—
547C23—42no—
548C23—42no—
549C23—41no—
550C23—41no—
551C23—42no—
552C23—42no—
553C23—42no—
554C23—41no—
555C23—42no—
556C23—41no—
557C23—42no—
558C23C22⋊C4×D4311yescharacteristic
559C23#1306328211yescharacteristic
560C23#1306328311yescharacteristic
561C23(C22⋊D43)⋊C411yescharacteristic
562C23C4×C22⋊D4311yescharacteristic
563C23#1306329011yescharacteristic
564C23C4×Dic8611yescharacteristic
565C23#1306329711yescharacteristic
566C23#1306329811yescharacteristic
567C23#1306330111yescharacteristic
568C23#1306330211yescharacteristic
569C23#1306330211yescharacteristic
570C23#1306330311yescharacteristic
571C23#1306330311yescharacteristic
572C23#1306330411yescharacteristic
573C23#1306330611yescharacteristic
574C23#1306330711yescharacteristic
575C23#1306330711yescharacteristic
576C23#1306330711yescharacteristic
577C23#1306330811yescharacteristic
578C23#1306331011yescharacteristic
579C23#1306331011yescharacteristic
580C23#1306331011yescharacteristic
581C23#1306331111yescharacteristic
582C23#1306331111yescharacteristic
583C23#1306331511yescharacteristic
584C23#1306331511yescharacteristic
585C23#1306331611yescharacteristic
586C23#1306331711yescharacteristic
587C23#1306331811yescharacteristic
588C23#1306331811yescharacteristic
589C23#1306331911yescharacteristic
590C23#1306332011yescharacteristic
591C23#1306332111yescharacteristic
592C23#1306332411yescharacteristic
593C2×C4—44no—
594C2×C4—44no—
595C2×C4—42no—
596C2×C4—42no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—82no—
601C2×C4—82no—
602C2×C4—81no—
603C2×C4—81no—
604C2×C4—81no—
605C2×C4—81no—
606C2×C4—82no—
607C2×C4—82no—
608C2×C4—434no—
609C2×C4—864no—
610C2×C4—864no—
611C2×C4—862no—
612C2×C4—862no—
613C2×C4—862no—
614C2×C4—862no—
615C2×C4—862no—
616C2×C4—3442no—
617C2×C4—3442no—
618C2×C4—3441no—
619C2×C4—3441no—
620C2×C4—3441no—
621C2×C4—3441no—
622C2×C4—3442no—
623C2×C4—3442no—
624C2×C4—1724no—
625C2×C4—1724no—
626C2×C4—1724no—
627C2×C4—1724no—
628C2×C4—1724no—
629C2×C4—1724no—
630C2×C4—1722no—
631C2×C4—1722no—
632C2×C4—1722no—
633C2×C4—1722no—
634C2×C4—1722no—
635C2×C4—1722no—
636C2×C4—1722no—
637C22—22no—
638C22—22no—
639C22—22no—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—21no—
650C22—21no—
651C22—21no—
652C22—21no—
653C22—21no—
654C22—21no—
655C22—21no—
656C22—21no—
657C22—21no—
658C22—21no—
659C22—21no—
660C22—21no—
661C22—41no—
662C22—41no—
663C22—41no—
664C22—41no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22#1458276111yescharacteristic
678C22#1458278011yescharacteristic
679C22#1458278111yescharacteristic
680C22#1458278311yescharacteristic
681C22#1458278611yescharacteristic
682C22#1458279911yescharacteristic
683C22#1458280311yescharacteristic
684C22#1458282711yescharacteristic
685C22#1458282811yescharacteristic
686C22#1458283211yescharacteristic
687C22#1458283311yescharacteristic
688C22#1458283411yescharacteristic
689C22#1458283511yescharacteristic
690C22#1458284011yescharacteristic
691C22#1458284111yescharacteristic
692C22#99×D4312yes—
693C22#1458287112yes—
694C4—82no—
695C4—82no—
696C4—82no—
697C4—864no—
698C4—3442no—
699C4—3442no—
700C4—3442no—
701C4—1722no—
702C2—21no—
703C2—21no—
704C2—21no—
705C2—21no—
706C2—21no—
707C2—21no—
708C2—21no—
709C2—21no—
710C2—21no—
711C2—21no—
712C2—21no—
713C2—21no—
714C2#1913286111yescharacteristic
715C2#1913466811yescharacteristic
716C2#1913467111yescharacteristic
717C2#1913542912yes—
718C2#1913557812yes—
subgroupG/H
centerC23C22⋊C4×D43
commutatorC24×C43C22×C4
FrattiniC25C22×D43
FittingC2×C43×#342C2
socleC23×C43C2×C22⋊C4
prime radical, cosocleC25×C43C23
hypercenterC2×#342D43
hypocenterC43#11353
LCSG ▷ C24×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C25 ◁ C2×#342

Complements

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

NH ≅ G/Ntype
9. C22×Dic43⋊C4C4semidirect
17. C2×C43⋊#95C4semidirect
384. C43#11353semidirect

Maximal subgroups

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

subgroupindex
C2×#145827572
C2×#145826662
C2×#145826652
#191328172
C2×C43×#3422
#1135343