Finite Group Databasebeta

← #10701980

Subgroups — #10701980

Order 768.

1278 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#942C211yesmaximal, characteristic
2C22×C3×#103C211yesmaximal, characteristic, complemented
3C22×#836C211yesmaximal, characteristic, complemented
4C2×#5110C211yesmaximal, characteristic
5C2×#4966C211yesmaximal, characteristic
6C2×#4552C211yesmaximal, characteristic, complemented
7C2×#4530C211yesmaximal, characteristic, complemented
8#11021—31nomaximal, Sylow
9C23×C3×Q8C2211yescharacteristic
10C22×#235C2211yescharacteristic
11C23×C3×C8C2211yescharacteristic
12C22×C3×C4⋊C4C2211yescharacteristic
13C22×#216—21no—
14C2×#942—22no—
15C2×#942—22no—
16C2×#942—22no—
17C2×#942—22no—
18C2×#942—22no—
19C2×#942C414yescomplemented
20C22×#215—21no—
21C22×#208C2211yescharacteristic
22C22×#208C2211yescharacteristic
23C22×#208C2211yescharacteristic
24C2×C3×#103—22no—
25C2×C3×#103—22no—
26C2×C3×#103—22no—
27C2×#836—22no—
28C2×#836—22no—
29C2×#836—22no—
30#5110—22no—
31#5110—22no—
32C2×(C2×D3)⋊C8—22no—
33C2×#810—21no—
34#4966—22no—
35#4966—22no—
36C2×#809—21no—
37#4552—22no—
38#4530—22no—
39C22×#137—31no—
40C2×#417—31no—
41C22×#103D311yescharacteristic, complemented
42C22×#101—31no—
43C2×#408—31no—
44C2×#343—31no—
45C2×#341—31no—
46C22×C3×Q8—21no—
47C22×C3×Q8—21no—
48C22×C3×Q8—21no—
49C22×C3×Q8—21no—
50C22×C3×Q8—21no—
51C22×C3×Q8—21no—
52C22×C3×Q8—21no—
53C22×C3×Q8—21no—
54C22×C3×Q8—21no—
55C22×C3×Q8—21no—
56C22×C3×Q8—21no—
57C22×C3×Q8C2×C412yes—
58C22×C3×Q8D412yes—
59C22×C3×Q8D412yes—
60C23×C3×C4—21no—
61C23×C3×C4—21no—
62C23×C3×C4C2311yescharacteristic
63C22×#67—21no—
64C2×#235—21no—
65C2×#235—21no—
66C2×#235—21no—
67C2×#235—21no—
68C2×#235—21no—
69C2×#235—21no—
70C2×#235—21no—
71C2×#235—21no—
72C2×#235—21no—
73C2×#235—21no—
74C2×#235C2×C412yes—
75C2×#235D412yes—
76C22×D12D411yescharacteristic
77C22×C4×D3—21no—
78C22×Dic6D411yescharacteristic
79C22×C3×C8—21no—
80C22×C3×C8—21no—
81C22×C3×C8—21no—
82C22×C3×C8—21no—
83C22×C3×C8—21no—
84C22×C3×C8—21no—
85C22×C3×C8D412yes—
86C2×C3×C4⋊C4—21no—
87C2×C3×C4⋊C4—21no—
88C2×C3×C4⋊C4—21no—
89C2×C3×C4⋊C4—21no—
90C2×C3×C4⋊C4—21no—
91C2×C3×C4⋊C4D412yes—
92C2×#216—24no—
93C2×#216—24no—
94C2×#216—24no—
95#942—28no—
96#942—28no—
97#942—28no—
98#942—28no—
99C2×#215—24no—
100C2×#215—24no—
101C2×#215—24no—
102C2×#208—21no—
103C2×#208—21no—
104C2×#208—21no—
105C2×#208—21no—
106C2×#208—21no—
107C2×#208—21no—
108C2×#208—21no—
109C2×#208—21no—
110C2×#208—21no—
111C2×#208—21no—
112C2×#208—21no—
113C2×#208—21no—
114C2×#208—21no—
115C2×#208C2×C412yes—
116C2×#208D412yes—
117C2×#208D412yes—
118C2×#208D412yes—
119C2×#208D412yes—
120C22×C3⋊C8—21no—
121C22×C3⋊C8—21no—
122C22×C3⋊C8—21no—
123C3×#103—28no—
124#836—28no—
125(C2×D3)⋊C8—28no—
126#810—24no—
127#809—24no—
128C22×#41—31no—
129C23×Q8C2×D311yescharacteristic
130C2×#137—34no—
131C2×#137—62no—
132C2×#137—62no—
133C2×#137—62no—
134C2×#137—62no—
135C2×#137—62no—
136C22×Q16—61no—
137C22×SD16—61no—
138C22×M16—31no—
139C22×M16—31no—
140C22×M16—31no—
141C23×C8C2×D311yescharacteristic
142C22×C4⋊C4C2×D311yescharacteristic
143#417—62no—
144#417—62no—
145C2×#103—22no—
146C2×#103—22no—
147C2×#103—22no—
148C2×#103—61no—
149C2×#102—61no—
150C2×#101—62no—
151C2×#101—62no—
152C2×#101—62no—
153#408—62no—
154#408—62no—
155C2×C22⋊C8—62no—
156#343—62no—
157#341—62no—
158C24×C3#4111yescharacteristic
159C23×D3—21no—
160C2×C3×Q8—22no—
161C2×C3×Q8—22no—
162C2×C3×Q8—22no—
163C2×C3×Q8—22no—
164C2×C3×Q8—22no—
165C2×C3×Q8—22no—
166C2×C3×Q8—22no—
167C2×C3×Q8—22no—
168C2×C3×Q8—22no—
169C2×C3×Q8—22no—
170C2×C3×Q8—22no—
171C2×C3×Q8—22no—
172C2×C3×Q8—22no—
173C2×C3×Q8—22no—
174C2×C3×Q8—22no—
175C2×C3×Q8—41no—
176C2×C3×Q8—41no—
177C2×C3×Q8—41no—
178C2×C3×Q8—41no—
179C2×C3×Q8—41no—
180C2×C3×Q8—41no—
181C2×C3×Q8—41no—
182C2×C3×Q8—41no—
183C2×C3×Q8—41no—
184C2×C3×Q8—41no—
185C2×C3×Q8—41no—
186C2×C3×Q8—41no—
187C2×C3×Q8C22⋊C414yes—
188C22×C3×C4—22no—
189C22×C3×C4—22no—
190C22×C3×C4—22no—
191C22×C3×C4—22no—
192C22×C3×C4—41no—
193C22×C3×C4—41no—
194C22×C3×C4—41no—
195C22×C3×C4—41no—
196C22×C3×C4—41no—
197C22×C3×C4—41no—
198C22×C3×C4—82no—
199C22×C3×C4C22×C411yescharacteristic
200C22×C3×C4C2×D411yescharacteristic
201C22×C3×C4C2×D411yescharacteristic
202C22×C3×C4C2×D411yescharacteristic
203C22×C3×C4C2×D411yescharacteristic
204C22×C3×C4C2×D411yescharacteristic
205C22×C3×C4C2×D411yescharacteristic
206C22×C3×C4C2×D411yescharacteristic
207C22×C3×C4C2×D411yescharacteristic
208C22×C3×C4C2×D411yescharacteristic
209C22×C3×C4C2×D411yescharacteristic
210C22×C3×C4#4111yescharacteristic
211C22×C3×C4#4111yescharacteristic
212C22×C3×C4#4111yescharacteristic
213C2×#67—22no—
214C2×#67—22no—
215C2×#67—41no—
216C2×#67—41no—
217C2×#67—41no—
218C2×#67—41no—
219C22×Dic3—21no—
220#235—22no—
221#235—22no—
222#235—22no—
223#235—22no—
224#235—22no—
225#235—22no—
226#235—22no—
227#235—22no—
228#235—41no—
229#235—41no—
230#235—41no—
231#235—41no—
232#235—41no—
233#235—41no—
234#235—41no—
235#235—41no—
236C2×D12—21no—
237C2×D12—21no—
238C2×D12—21no—
239C2×D12—21no—
240C2×D12—21no—
241C2×D12C22⋊C412yes—
242C2×C4×D3—22no—
243C2×C4×D3—22no—
244C2×C4×D3—41no—
245C2×C4×D3—41no—
246C2×C4×D3—41no—
247C2×C4×D3—41no—
248C2×Dic6—21no—
249C2×Dic6—21no—
250C2×Dic6—21no—
251C2×Dic6—21no—
252C2×Dic6—21no—
253C2×Dic6C22⋊C412yes—
254C2×C3×C8—22no—
255C2×C3×C8—22no—
256C2×C3×C8—22no—
257C2×C3×C8—41no—
258C2×C3×C8—41no—
259C2×C3×C8—41no—
260C2×C3×C8—41no—
261C3×C4⋊C4—22no—
262C3×C4⋊C4—22no—
263C3×C4⋊C4—41no—
264C3×C4⋊C4—41no—
265#216—216no—
266#215—216no—
267#208—22no—
268#208—22no—
269#208—22no—
270#208—22no—
271#208—22no—
272#208—22no—
273#208—22no—
274#208—41no—
275#208—41no—
276#208—41no—
277#208—41no—
278#208C22⋊C414yes—
279C2×C3⋊C8—22no—
280C2×C3⋊C8—22no—
281C2×C3⋊C8—22no—
282C2×C3⋊C8—22no—
283C2×C3⋊C8—22no—
284C2×C3⋊C8—41no—
285C2×C3⋊C8—41no—
286C2×C3⋊C8—41no—
287C2×C3⋊C8—41no—
288C2×#41—32no—
289C2×#41—32no—
290C2×#41—61no—
291C2×#41—61no—
292C2×#41—61no—
293C2×#41—61no—
294C2×#41—61no—
295C2×#41—61no—
296C2×#41—61no—
297C2×#41—61no—
298C2×#41—61no—
299C2×#41—61no—
300C22×Q8—21no—
301C22×Q8—21no—
302C22×Q8—21no—
303C22×Q8—21no—
304C22×Q8—21no—
305C22×Q8—21no—
306C22×Q8—21no—
307C22×Q8—21no—
308C22×Q8—21no—
309C22×Q8—21no—
310C22×Q8—21no—
311C22×Q8—31no—
312C22×Q8C4×D312yes—
313C22×Q8D1212yes—
314C22×Q8#6712yes—
315C22×D4—31no—
316C22×D4—61no—
317C23×C4—21no—
318C23×C4—21no—
319C23×C4—61no—
320C23×C4C22×D311yescharacteristic
321#137—68no—
322#137—68no—
323#137—68no—
324#137—68no—
325C2×Q16—64no—
326C2×Q16—64no—
327C2×Q16—64no—
328C2×SD16—64no—
329C2×SD16—64no—
330C2×SD16—64no—
331C2×M16—32no—
332C2×M16—32no—
333C2×M16—32no—
334C2×M16—32no—
335C2×M16—32no—
336C2×M16—61no—
337C2×M16—61no—
338C2×M16—61no—
339C2×M16—61no—
340C2×M16—61no—
341C2×M16—61no—
342C2×M16—61no—
343C2×M16—61no—
344C2×M16—61no—
345C2×M16—61no—
346C2×M16—61no—
347C2×M16—61no—
348C2×M16—61no—
349C22×C8—21no—
350C22×C8—21no—
351C22×C8—21no—
352C22×C8—21no—
353C22×C8—21no—
354C22×C8—21no—
355C22×C8—61no—
356C22×C8—61no—
357C22×C8—61no—
358C22×C8#6712yes—
359C2×C4⋊C4—21no—
360C2×C4⋊C4—21no—
361C2×C4⋊C4—21no—
362C2×C4⋊C4—21no—
363C2×C4⋊C4—21no—
364C2×C4⋊C4#6712yes—
365#103—28no—
366#103—64no—
367#102—64no—
368#101—68no—
369C22⋊C8—68no—
370C23×C3—22no—
371C23×C3—22no—
372C23×C3C4×D411yescharacteristic
373C23×C3#12111yescharacteristic
374C23×C3#12111yescharacteristic
375C23×C3#12111yescharacteristic
376C23×C3#12311yescharacteristic
377C23×C3#12311yescharacteristic
378C23×C3#12411yescharacteristic
379C22×D3—22no—
380C22×D3—41no—
381C22×D3—41no—
382C22×D3—42no—
383C22×D3—42no—
384C3×Q8—24no—
385C3×Q8—24no—
386C3×Q8—42no—
387C3×Q8—42no—
388C3×Q8—42no—
389C3×Q8—42no—
390C3×Q8—42no—
391C3×Q8—42no—
392C2×C3×C4—24no—
393C2×C3×C4—42no—
394C2×C3×C4—42no—
395C2×C3×C4—42no—
396C2×C3×C4—42no—
397C2×C3×C4—42no—
398C2×C3×C4—42no—
399C2×C3×C4—42no—
400C2×C3×C4—82no—
401C2×C3×C4—82no—
402C2×C3×C4—82no—
403C2×C3×C4C2×C22⋊C411yescharacteristic
404C2×C3×C4C2×C22⋊C411yescharacteristic
405C2×C3×C4C2×C22⋊C411yescharacteristic
406C2×C3×C4C4×D411yescharacteristic
407C2×C3×C4C4×D411yescharacteristic
408C2×C3×C4C4×D411yescharacteristic
409C2×C3×C4#12011yescharacteristic
410C2×C3×C4#12011yescharacteristic
411C2×C3×C4#12011yescharacteristic
412C2×C3×C4#12011yescharacteristic
413C2×C3×C4#12011yescharacteristic
414C2×C3×C4#12011yescharacteristic
415C2×C3×C4#12011yescharacteristic
416C2×C3×C4#12011yescharacteristic
417C2×C3×C4#12111yescharacteristic
418C2×C3×C4#12111yescharacteristic
419C2×C3×C4#12111yescharacteristic
420C2×C3×C4#12111yescharacteristic
421C2×C3×C4#12111yescharacteristic
422C2×C3×C4#12111yescharacteristic
423C2×C3×C4#12111yescharacteristic
424C2×C3×C4#12111yescharacteristic
425C2×C3×C4#12111yescharacteristic
426C2×C3×C4#12311yescharacteristic
427C2×C3×C4#12311yescharacteristic
428C2×C3×C4#12411yescharacteristic
429C2×C3×C4#12711yescharacteristic
430C2×C3×C4#12711yescharacteristic
431#67—42no—
432#67—42no—
433#67—42no—
434#67—42no—
435C2×Dic3—22no—
436C2×Dic3—41no—
437C2×Dic3—41no—
438D12—22no—
439D12—22no—
440D12—41no—
441D12—41no—
442C4×D3—42no—
443C4×D3—42no—
444C4×D3—42no—
445C4×D3—42no—
446Dic6—22no—
447Dic6—22no—
448Dic6—41no—
449Dic6—41no—
450C3×C8—42no—
451C3⋊C8—24no—
452C3⋊C8—42no—
453C3⋊C8—42no—
454C24—61no—
455C24#23711yescharacteristic
456#41—62no—
457#41—62no—
458#41—62no—
459#41—62no—
460#41—62no—
461#41—62no—
462#41—62no—
463#41—62no—
464#41—121no—
465#41—121no—
466#41—121no—
467#41—121no—
468#41—121no—
469#41—121no—
470#41—121no—
471#41—121no—
472C2×Q8—22no—
473C2×Q8—22no—
474C2×Q8—22no—
475C2×Q8—22no—
476C2×Q8—22no—
477C2×Q8—22no—
478C2×Q8—22no—
479C2×Q8—22no—
480C2×Q8—22no—
481C2×Q8—22no—
482C2×Q8—22no—
483C2×Q8—22no—
484C2×Q8—22no—
485C2×Q8—22no—
486C2×Q8—22no—
487C2×Q8—32no—
488C2×Q8—41no—
489C2×Q8—41no—
490C2×Q8—41no—
491C2×Q8—41no—
492C2×Q8—41no—
493C2×Q8—41no—
494C2×Q8—41no—
495C2×Q8—41no—
496C2×Q8—41no—
497C2×Q8—41no—
498C2×Q8—41no—
499C2×Q8—41no—
500C2×Q8—61no—
501C2×Q8—61no—
502C2×Q8—61no—
503C2×Q8—61no—
504C2×Q8—61no—
505C2×Q8(C2×D3)⋊C414yes—
506C2×D4—32no—
507C2×D4—62no—
508C2×D4—62no—
509C2×D4—61no—
510C2×D4—61no—
511C2×D4—61no—
512C2×D4—61no—
513C2×D4—61no—
514C2×D4—121no—
515C2×D4—121no—
516C2×D4—121no—
517C2×D4—121no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—41no—
523C22×C4—41no—
524C22×C4—41no—
525C22×C4—41no—
526C22×C4—41no—
527C22×C4—41no—
528C22×C4—61no—
529C22×C4—62no—
530C22×C4—62no—
531C22×C4—82no—
532C22×C4—121no—
533C22×C4—121no—
534C22×C4—121no—
535C22×C4—121no—
536C22×C4C2×C4×D311yescharacteristic
537C22×C4C2×D1211yescharacteristic
538C22×C4#23511yescharacteristic
539C22×C4#23511yescharacteristic
540C22×C4D3×D411yescharacteristic
541C22×C4D3×D411yescharacteristic
542C22×C4D3×D411yescharacteristic
543C22×C4D3×D411yescharacteristic
544C22×C4D3×D411yescharacteristic
545C22×C4D3×D411yescharacteristic
546C22×C4#23711yescharacteristic
547C22×C4C2×#6711yescharacteristic
548C22×C4C2×#6711yescharacteristic
549C22×C4C2×#6711yescharacteristic
550Q16—616no—
551SD16—616no—
552M16—34no—
553M16—62no—
554M16—62no—
555M16—62no—
556M16—62no—
557M16—62no—
558M16—62no—
559M16—62no—
560M16—121no—
561M16—121no—
562M16—121no—
563M16—121no—
564C2×C8—22no—
565C2×C8—22no—
566C2×C8—22no—
567C2×C8—41no—
568C2×C8—41no—
569C2×C8—41no—
570C2×C8—41no—
571C2×C8—62no—
572C2×C8—62no—
573C2×C8—62no—
574C2×C8—62no—
575C2×C8—62no—
576C2×C8—121no—
577C2×C8—121no—
578C2×C8—121no—
579C2×C8—121no—
580C4⋊C4—22no—
581C4⋊C4—22no—
582C4⋊C4—41no—
583C4⋊C4—41no—
584C22×C3—22no—
585C22×C3—22no—
586C22×C3—22no—
587C22×C3—22no—
588C22×C3—21no—
589C22×C3—21no—
590C22×C3—21no—
591C22×C3—21no—
592C22×C3#38611yescharacteristic
593C22×C3#38611yescharacteristic
594C22×C3#39011yescharacteristic
595C22×C3#39211yescharacteristic
596C22×C3#39411yescharacteristic
597C22×C3#39411yescharacteristic
598C22×C3#39411yescharacteristic
599C22×C3#47112yes—
600C22×C3#47312yes—
601C2×D3—44no—
602C2×D3—42no—
603C2×D3—82no—
604C2×D3—81no—
605C2×D3—81no—
606C3×C4—44no—
607C3×C4—82no—
608C3×C4#37911yescharacteristic
609C3×C4#38611yescharacteristic
610C3×C4#38611yescharacteristic
611C3×C4#39011yescharacteristic
612C3×C4#39211yescharacteristic
613C3×C4#39211yescharacteristic
614C3×C4#39211yescharacteristic
615C3×C4#39411yescharacteristic
616Dic3—42no—
617C23—22no—
618C23—22no—
619C23—62no—
620C23—122no—
621C23—122no—
622C23—121no—
623C23—121no—
624C23#67⋊C411yescharacteristic
625C23#88311yescharacteristic
626C23#88511yescharacteristic
627C23#88611yescharacteristic
628C23#93811yescharacteristic
629C23#93911yescharacteristic
630C23#93911yescharacteristic
631Q8—24no—
632Q8—24no—
633Q8—42no—
634Q8—42no—
635Q8—42no—
636Q8—42no—
637Q8—42no—
638Q8—42no—
639Q8—62no—
640Q8—62no—
641Q8—121no—
642Q8—121no—
643D4—62no—
644D4—62no—
645D4—122no—
646D4—122no—
647D4—122no—
648D4—122no—
649D4—121no—
650D4—121no—
651C2×C4—24no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—62no—
660C2×C4—82no—
661C2×C4—82no—
662C2×C4—82no—
663C2×C4—121no—
664C2×C4—121no—
665C2×C4—122no—
666C2×C4—122no—
667C2×C4—122no—
668C2×C4—122no—
669C2×C4D3×C22⋊C411yescharacteristic
670C2×C4D3×C22⋊C411yescharacteristic
671C2×C4#67⋊C411yescharacteristic
672C2×C4#88211yescharacteristic
673C2×C4#88211yescharacteristic
674C2×C4#88211yescharacteristic
675C2×C4#88311yescharacteristic
676C2×C4#88411yescharacteristic
677C2×C4#88411yescharacteristic
678C2×C4#88411yescharacteristic
679C2×C4#88411yescharacteristic
680C2×C4#88511yescharacteristic
681C2×C4C2×(C2×D3)⋊C411yescharacteristic
682C2×C4C4×#6711yescharacteristic
683C2×C4C4×#6711yescharacteristic
684C2×C4#92911yescharacteristic
685C2×C4#93011yescharacteristic
686C2×C4#93011yescharacteristic
687C2×C4#93711yescharacteristic
688C2×C4#93711yescharacteristic
689C2×C4#93711yescharacteristic
690C2×C4#93711yescharacteristic
691C2×C4#93811yescharacteristic
692C2×C4#93911yescharacteristic
693C2×C4#93911yescharacteristic
694C2×C4#94011yescharacteristic
695C2×C4#94011yescharacteristic
696C2×C4#95311yescharacteristic
697C8—42no—
698C8—64no—
699C8—122no—
700C8—122no—
701C2×C3—21no—
702C2×C3—21no—
703C2×C3—21no—
704C2×C3—21no—
705C2×C3#143811yescharacteristic
706C2×C3#190812yes—
707C2×C3#201911yescharacteristic
708C2×C3#202011yescharacteristic
709C2×C3#205212yes—
710D3—82no—
711C22—22no—
712C22—22no—
713C22—21no—
714C22—21no—
715C22—21no—
716C22—21no—
717C22—22no—
718C22—22no—
719C22—122no—
720C22—124no—
721C22—242no—
722C22—241no—
723C22—241no—
724C22#495611yescharacteristic
725C22#495711yescharacteristic
726C22#495811yescharacteristic
727C22#495911yescharacteristic
728C22#496111yescharacteristic
729C22#496111yescharacteristic
730C22#517712yes—
731C22#519212yes—
732C22#522311yescharacteristic
733C4—44no—
734C4—82no—
735C4—122no—
736C4#495511yescharacteristic
737C4#495611yescharacteristic
738C4#495711yescharacteristic
739C4#495911yescharacteristic
740C4#496011yescharacteristic
741C4#496011yescharacteristic
742C4#521311yescharacteristic
743C4#522311yescharacteristic
744C3#1102111yescharacteristic, complemented, Sylow
745C2—21no—
746C2—21no—
747C2—21no—
748C2—21no—
749C2—242no—
750C2#7026412yes—
751C2#7028612yes—
752C2#7155011yescharacteristic
753C2#7205911yescharacteristic
754C2#7207411yescharacteristic
subgroupG/H
centerC23#938
commutatorC22×C3×C4C22×C4
FrattiniC23×C4C22×D3
FittingC22×C3×#103C2
socleC23×C3#121
prime radicalC22×#235C22
cosocleC23×C3×C4C23
hypercenterC22×#103D3
hypocenterC3#11021
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×#103

Complements

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

NH ≅ G/Ntype
2. C22×C3×#103C2semidirect
3. C22×#836C2semidirect
6. C2×#4552C2semidirect
7. C2×#4530C2semidirect
19. C2×#942C4semidirect
41. C22×#103D3semidirect
744. C3#11021semidirect

Maximal subgroups

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

subgroupindex
C22×#9422
C22×C3×#1032
C22×#8362
C2×#51102
C2×#49662
C2×#45522
C2×#45302
#110213