Finite Group Databasebeta

← C2×#10594955 #11900633

Subgroups — C2×#10594955 #11900633

Order 1152.

2677 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64139C211yesmaximal, characteristic
2C2×C3×#924C211yesmaximal, characteristic, complemented
3C22×C3×C4×Dic3C211yesmaximal, characteristic, complemented
4C2×#63966C212yesmaximal, complemented
5C2×#63952C212yesmaximal, complemented
6#10594955C2116yesmaximal, direct product factor
7C2×#63894C211yesmaximal, characteristic, complemented
8C2×#63869C211yesmaximal, characteristic, complemented
9C2×#63868C212yesmaximal, complemented
10C2×#63864C211yesmaximal, characteristic, complemented
11C2×Dic3×Dic6C211yesmaximal, characteristic, complemented
12C2×#63836C212yesmaximal, complemented
13C2×#5624—31nomaximal
14C2×#5479—31nomaximal
15C23×C32×C4C2211yescharacteristic
16C22×#638C2212yes—
17C22×C4⋊(C3⋊D3)C2211yescharacteristic
18C23×C3×Dic3C2211yescharacteristic
19C23×C3×Dic3C2211yescharacteristic
20C22×C3×Dic6C2211yescharacteristic
21C22×#624C2212yes—
22#64139C2218yes—
23C2×#3752C2212yes—
24C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
25C2×C3×#217C2212yes—
26C2×C3×C4⋊Dic3C2211yescharacteristic
27C3×#924C2218yescomplemented
28C2×C3×Dic3⋊C4C2212yes—
29C2×C3×C4×Dic3C2211yescharacteristic
30C2×C3×C4×Dic3C2211yescharacteristic
31C2×C3×C4×Dic3C2211yescharacteristic
32C2×C3×C4×Dic3C2211yescharacteristic
33C2×C3×C4×Dic3C2218yescomplemented
34C2×#3724C2212yes—
35#63966C22116yescomplemented
36C2×Dic3⋊Dic3C2212yes—
37C2×Dic3⋊Dic3C2212yes—
38C2×#3722C2212yes—
39C2×#3722C2212yes—
40C2×#3722C2212yes—
41C2×Dic32C2212yes—
42#63952C22116yescomplemented
43#63894C2218yescomplemented
44#63869C2218yescomplemented
45#63868C22116yescomplemented
46#63864C2218yescomplemented
47Dic3×Dic6C2218yescomplemented
48#63836C22116yescomplemented
49C2×C3×C22⋊Q8—31no—
50C22×C3×C42—31no—
51C2×#947—31no—
52C2×Q8×Dic3—31no—
53C2×#930—31no—
54C2×#930—31no—
55C2×#930—61no—
56C2×#929—32no—
57C2×C4×#67—32no—
58C2×#924D311yescharacteristic, complemented
59C22×C4×Dic3D311yescharacteristic, complemented
60#5624—316no—
61C2×#898—32no—
62C2×#893—31no—
63C2×#892—32no—
64C2×#890—31no—
65C2×#886—32no—
66C2×#67⋊C4—32no—
67#5479—316no—
68C2×#876—32no—
69C2×#875—31no—
70C2×C4×D12—31no—
71C2×#872—32no—
72C2×#870—31no—
73C2×C4×Dic6—31no—
74C24×C32C2311yescharacteristic
75C23×C3⋊D3C2312yes—
76C22×C32×C4—24no—
77C22×C32×C4C2311yescharacteristic
78C22×C32×C4C2314yes—
79C22×C32×C4C2311yescharacteristic
80C2×#638—28no—
81C2×#638C2318yes—
82C22×C3⋊Dic3C2312yes—
83C2×C4⋊(C3⋊D3)—24no—
84C2×C4⋊(C3⋊D3)C2314yes—
85C22×C3×Dic3—24no—
86C22×C3×Dic3—24no—
87C22×C3×Dic3C2311yescharacteristic
88C22×C3×Dic3C2311yescharacteristic
89C22×C3×Dic3C2311yescharacteristic
90C22×C3×Dic3C2314yes—
91C22×C3×Dic3C2314yes—
92C22×C3×Dic3C2312yes—
93C22×C3×Dic3C2312yes—
94C22×C3×Dic3C2311yescharacteristic
95C2×C3×Dic6—24no—
96C2×C3×Dic6C2314yes—
97C2×#624—28no—
98C2×#624C2318yes—
99#3752C2318yes—
100C4⋊(C3⋊Dic3)C2314yes—
101C3×#217C2318yes—
102C3×C4⋊Dic3C2314yes—
103C3×Dic3⋊C4C2318yes—
104C3×C4×Dic3C2314yes—
105C3×C4×Dic3C2314yes—
106C3×C4×Dic3C2314yes—
107C3×C4×Dic3C2314yes—
108#3724C2318yes—
109Dic3⋊Dic3C2318yes—
110Dic3⋊Dic3C2318yes—
111#3722C2318yes—
112#3722C2318yes—
113#3722C2318yes—
114Dic32C2318yes—
115C2×#529—91noSylow
116C22×C3×Q8—31no—
117C23×C3×C4—21no—
118C23×C3×C4—31no—
119C23×C3×C4—31no—
120C23×C3×C4C2×D311yescharacteristic
121C23×C3×C4C2×D311yescharacteristic
122C22×#67—32no—
123C22×#67—32no—
124C22×#67—62no—
125C23×Dic3C2×D311yescharacteristic
126C23×Dic3C2×D311yescharacteristic
127C22×D12—31no—
128C22×D12—31no—
129C22×D12—61no—
130C22×C4×D3—32no—
131C22×C4×D3—32no—
132C22×Dic6C2×D311yescharacteristic
133C3×C22⋊Q8—38no—
134C2×C3×C4⋊C4—32no—
135C2×C3×C4⋊C4—31no—
136C2×C3×C22⋊C4—32no—
137C2×C3×C42—31no—
138C2×C3×C42—31no—
139C2×C3×C42—31no—
140C2×C3×C42—31no—
141C2×C3×C42—38no—
142C2×#217C2×D312yes—
143#947—38no—
144Q8×Dic3—38no—
145#930—38no—
146#930—38no—
147#930—68no—
148#929—316no—
149C4×#67—316no—
150C2×(C2×D3)⋊C4—32no—
151C2×(C2×D3)⋊C4—32no—
152C2×(C2×D3)⋊C4—32no—
153C2×(C2×D3)⋊C4—32no—
154C2×(C2×D3)⋊C4—32no—
155C2×(C2×D3)⋊C4—32no—
156C2×(C2×D3)⋊C4—32no—
157C2×(C2×D3)⋊C4—32no—
158C2×(C2×D3)⋊C4—62no—
159C2×C4⋊Dic3—31no—
160C2×C4⋊Dic3—31no—
161C2×C4⋊Dic3—32no—
162C2×C4⋊Dic3—32no—
163C2×C4⋊Dic3—61no—
164C2×C4⋊Dic3C2×D311yescharacteristic
165#924C2×D318yescomplemented
166C2×Dic3⋊C4—32no—
167C2×Dic3⋊C4—32no—
168C2×Dic3⋊C4—32no—
169C2×Dic3⋊C4—32no—
170C2×Dic3⋊C4C2×D312yes—
171C2×C4×Dic3—32no—
172C2×C4×Dic3—32no—
173C2×C4×Dic3C2×D311yescharacteristic
174C2×C4×Dic3C2×D311yescharacteristic
175C2×C4×Dic3C2×D311yescharacteristic
176C2×C4×Dic3C2×D311yescharacteristic
177C2×C4×Dic3C2×D318yescomplemented
178#898—316no—
179#893—38no—
180#892—316no—
181#890—38no—
182#886—316no—
183#67⋊C4—316no—
184#876—316no—
185#875—38no—
186C4×D12—38no—
187#872—316no—
188#870—38no—
189C4×Dic6—38no—
190C23×C32—22no—
191C23×C32—22no—
192C23×C32#4114yes—
193C23×C32C2412yes—
194C23×C32C2411yescharacteristic
195C22×C3⋊D3—24no—
196C22×C3⋊D3—24no—
197C22×C3⋊D3—24no—
198C22×C3⋊D3C2414yes—
199C2×C32×C4—22no—
200C2×C32×C4—28no—
201C2×C32×C4#4114yes—
202C2×C32×C4C2412yes—
203C2×C32×C4C2412yes—
204#638—216no—
205C2×C3⋊Dic3—24no—
206C2×C3⋊Dic3C2414yes—
207C4⋊(C3⋊D3)—28no—
208C2×C3×Dic3—24no—
209C2×C3×Dic3—24no—
210C2×C3×Dic3—28no—
211C2×C3×Dic3—22no—
212C2×C3×Dic3—22no—
213C2×C3×Dic3—22no—
214C2×C3×Dic3—28no—
215C2×C3×Dic3#4114yes—
216C2×C3×Dic3C2414yes—
217C2×C3×Dic3C2412yes—
218C2×C3×Dic3C2412yes—
219C2×C3×Dic3C2412yes—
220C2×C3×Dic3C2414yes—
221C2×C3×Dic3C2412yes—
222C3×Dic6—28no—
223#624—216no—
224#529—916no—
225C2×#126—92no—
226C2×#125—91no—
227C2×#124—91no—
228C2×#123—92no—
229C2×C22⋊Q8—31no—
230C2×#121—91no—
231C2×C4×Q8—91no—
232C2×C4×D4—91no—
233C2×C4×D4—92no—
234C2×#117—92no—
235C22×C42—31no—
236C24×C3—21no—
237C24×C3C22×D311yescharacteristic
238C24×C3C22×D311yescharacteristic
239C23×D3—32no—
240C23×D3—32no—
241C23×D3—62no—
242C2×C3×Q8—34no—
243C2×C3×Q8—64no—
244C22×C3×C4—24no—
245C22×C3×C4—24no—
246C22×C3×C4—21no—
247C22×C3×C4—21no—
248C22×C3×C4—24no—
249C22×C3×C4—31no—
250C22×C3×C4—32no—
251C22×C3×C4—31no—
252C22×C3×C4—31no—
253C22×C3×C4—31no—
254C22×C3×C4—32no—
255C22×C3×C4—34no—
256C22×C3×C4—34no—
257C22×C3×C4—44no—
258C22×C3×C4—64no—
259C22×C3×C4—64no—
260C22×C3×C4C22×D311yescharacteristic
261C22×C3×C4C22×D314yes—
262C22×C3×C4C22×D311yescharacteristic
263C22×C3×C4C22×D314yes—
264C22×C3×C4C22×D311yescharacteristic
265C22×C3×C4C22×D311yescharacteristic
266C2×#67—38no—
267C2×#67—38no—
268C2×#67—68no—
269C2×#67—68no—
270C2×#67—68no—
271C2×#67—128no—
272C22×Dic3—24no—
273C22×Dic3—24no—
274C22×Dic3—32no—
275C22×Dic3—32no—
276C22×Dic3—62no—
277C22×Dic3C22×D314yes—
278C22×Dic3C22×D314yes—
279C22×Dic3C22×D312yes—
280C22×Dic3C22×D311yescharacteristic
281C22×Dic3C22×D311yescharacteristic
282C22×Dic3C22×D311yescharacteristic
283C22×Dic3C22×D312yes—
284C22×Dic3C22×D311yescharacteristic
285C2×D12—34no—
286C2×D12—34no—
287C2×D12—64no—
288C2×D12—64no—
289C2×D12—64no—
290C2×D12—124no—
291C2×C4×D3—38no—
292C2×C4×D3—38no—
293C2×C4×D3—68no—
294C2×C4×D3—68no—
295C2×Dic6—24no—
296C2×Dic6C22×D314yes—
297C3×C4⋊C4—34no—
298C3×C4⋊C4—38no—
299C3×C22⋊C4—38no—
300C3×C42—34no—
301C3×C42—34no—
302C3×C42—34no—
303C3×C42—34no—
304#217C22×D318yes—
305(C2×D3)⋊C4—38no—
306(C2×D3)⋊C4—38no—
307(C2×D3)⋊C4—38no—
308(C2×D3)⋊C4—38no—
309(C2×D3)⋊C4—38no—
310(C2×D3)⋊C4—38no—
311(C2×D3)⋊C4—38no—
312(C2×D3)⋊C4—38no—
313(C2×D3)⋊C4—68no—
314C4⋊Dic3—34no—
315C4⋊Dic3—34no—
316C4⋊Dic3—38no—
317C4⋊Dic3—38no—
318C4⋊Dic3—64no—
319C4⋊Dic3C22×D314yes—
320Dic3⋊C4—38no—
321Dic3⋊C4—38no—
322Dic3⋊C4—38no—
323Dic3⋊C4—38no—
324Dic3⋊C4C22×D318yes—
325C4×Dic3—38no—
326C4×Dic3—38no—
327C4×Dic3C22×D314yes—
328C4×Dic3C22×D314yes—
329C4×Dic3C22×D314yes—
330C4×Dic3C22×D314yes—
331C22×C32—28no—
332C22×C32—22no—
333C22×C32—22no—
334C22×C32C2×#4112yes—
335C22×C32C2×#4114yes—
336C22×C32C2×#4112yes—
337C22×C32C2×#4112yes—
338C22×C32C2511yescharacteristic
339C2×C3⋊D3—24no—
340C2×C3⋊D3—24no—
341C2×C3⋊D3—24no—
342C2×C3⋊D3—48no—
343C32×C4—22no—
344C32×C4C2×#4114yes—
345C3⋊Dic3—24no—
346C3×Dic3—24no—
347C3×Dic3—24no—
348C3×Dic3—22no—
349C3×Dic3—22no—
350C3×Dic3—22no—
351C3×Dic3C2×#4114yes—
352C22×Q8—31no—
353C22×D4—92no—
354C22×D4—91no—
355C23×C4—31no—
356C23×C4—31no—
357C23×C4—92no—
358C23×C4D3211yescharacteristic
359#126—916no—
360#125—98no—
361#124—98no—
362#123—916no—
363C22⋊Q8—38no—
364#121—98no—
365C4×Q8—98no—
366C4×D4—98no—
367C4×D4—916no—
368#117—916no—
369C2×C4⋊C4—32no—
370C2×C4⋊C4—31no—
371C2×C4⋊C4—92no—
372C2×C4⋊C4—92no—
373C2×C4⋊C4—92no—
374C2×C4⋊C4—91no—
375C2×C22⋊C4—32no—
376C2×C22⋊C4—92no—
377C2×C22⋊C4—92no—
378C2×C22⋊C4—92no—
379C2×C22⋊C4—92no—
380C2×C42—31no—
381C2×C42—31no—
382C2×C42—31no—
383C2×C42—31no—
384C2×C42—38no—
385C2×C42—92no—
386C23×C3—22no—
387C23×C3—22no—
388C23×C3—22no—
389C23×C3—22no—
390C23×C3—22no—
391C23×C3—21no—
392C23×C3—24no—
393C23×C3—42no—
394C23×C3—42no—
395C23×C3#23514yes—
396C23×C3#23914yes—
397C23×C3C23×D312yes—
398C23×C3C23×D312yes—
399C23×C3C23×D311yescharacteristic
400C23×C3C23×D311yescharacteristic
401C22×D3—34no—
402C22×D3—34no—
403C22×D3—64no—
404C22×D3—64no—
405C22×D3—64no—
406C22×D3—64no—
407C22×D3—64no—
408C22×D3—64no—
409C22×D3—64no—
410C22×D3—124no—
411C22×D3—124no—
412C22×D3—124no—
413C3×Q8—68no—
414C2×C3×C4—22no—
415C2×C3×C4—22no—
416C2×C3×C4—28no—
417C2×C3×C4—28no—
418C2×C3×C4—22no—
419C2×C3×C4—22no—
420C2×C3×C4—24no—
421C2×C3×C4—34no—
422C2×C3×C4—32no—
423C2×C3×C4—34no—
424C2×C3×C4—32no—
425C2×C3×C4—32no—
426C2×C3×C4—32no—
427C2×C3×C4—34no—
428C2×C3×C4—48no—
429C2×C3×C4—42no—
430C2×C3×C4—68no—
431C2×C3×C4—64no—
432C2×C3×C4—64no—
433C2×C3×C4—68no—
434C2×C3×C4—62no—
435C2×C3×C4—62no—
436C2×C3×C4—62no—
437C2×C3×C4#23514yes—
438C2×C3×C4#23714yes—
439C2×C3×C4C23×D312yes—
440C2×C3×C4C23×D312yes—
441C2×C3×C4C23×D312yes—
442C2×C3×C4C23×D312yes—
443#67—616no—
444#67—616no—
445#67—1216no—
446C2×Dic3—28no—
447C2×Dic3—22no—
448C2×Dic3—22no—
449C2×Dic3—22no—
450C2×Dic3—24no—
451C2×Dic3—24no—
452C2×Dic3—28no—
453C2×Dic3—34no—
454C2×Dic3—34no—
455C2×Dic3—64no—
456C2×Dic3—64no—
457C2×Dic3—64no—
458C2×Dic3—124no—
459C2×Dic3#23514yes—
460C2×Dic3C23×D314yes—
461C2×Dic3C23×D312yes—
462C2×Dic3C23×D312yes—
463C2×Dic3C23×D312yes—
464C2×Dic3C23×D314yes—
465C2×Dic3C23×D312yes—
466D12—68no—
467D12—68no—
468D12—128no—
469C4×D3—616no—
470C4×D3—616no—
471Dic6—28no—
472C2×C32—24no—
473C2×C32#52914yescomplemented
474C2×C32C22×#4111yescharacteristic
475C2×C32C22×#4111yescharacteristic
476C2×C32C22×#4111yescharacteristic
477C3⋊D3—44no—
478C24—92no—
479C24C2×D3211yescharacteristic
480C2×Q8—34no—
481C2×Q8—64no—
482C2×D4—98no—
483C2×D4—94no—
484C2×D4—188no—
485C2×D4—184no—
486C22×C4—24no—
487C22×C4—31no—
488C22×C4—34no—
489C22×C4—34no—
490C22×C4—31no—
491C22×C4—31no—
492C22×C4—31no—
493C22×C4—32no—
494C22×C4—32no—
495C22×C4—64no—
496C22×C4—64no—
497C22×C4—98no—
498C22×C4—92no—
499C22×C4—188no—
500C22×C4C2×D3214yes—
501C22×C4C2×D3211yescharacteristic
502C22×C4C2×D3211yescharacteristic
503C4⋊C4—38no—
504C4⋊C4—34no—
505C4⋊C4—98no—
506C4⋊C4—98no—
507C4⋊C4—98no—
508C4⋊C4—94no—
509C22⋊C4—38no—
510C22⋊C4—98no—
511C22⋊C4—98no—
512C22⋊C4—98no—
513C22⋊C4—98no—
514C42—34no—
515C42—34no—
516C42—34no—
517C42—34no—
518C42—98no—
519C22×C3—22no—
520C22×C3—22no—
521C22×C3—22no—
522C22×C3—22no—
523C22×C3—28no—
524C22×C3—28no—
525C22×C3—22no—
526C22×C3—24no—
527C22×C3—22no—
528C22×C3—22no—
529C22×C3—21no—
530C22×C3—42no—
531C22×C3—42no—
532C22×C3—48no—
533C22×C3C2×#23514yes—
534C22×C3C2×#23512yes—
535C22×C3C2×#23512yes—
536C22×C3C2×#23512yes—
537C22×C3C2×#23712yes—
538C22×C3C2×#23914yes—
539C22×C3C2×#23912yes—
540C22×C3D3×#4112yes—
541C22×C3C24×D311yescharacteristic
542C22×C3C24×D311yescharacteristic
543C2×D3—64no—
544C2×D3—64no—
545C2×D3—64no—
546C2×D3—64no—
547C2×D3—64no—
548C2×D3—64no—
549C2×D3—124no—
550C2×D3—124no—
551C2×D3—124no—
552C2×D3—128no—
553C2×D3—128no—
554C2×D3—248no—
555C3×C4—22no—
556C3×C4—22no—
557C3×C4—24no—
558C3×C4—34no—
559C3×C4—42no—
560C3×C4—64no—
561C3×C4—64no—
562C3×C4—62no—
563C3×C4—62no—
564C3×C4—62no—
565C3×C4C2×#23514yes—
566C3×C4C2×#23714yes—
567Dic3—22no—
568Dic3—22no—
569Dic3—22no—
570Dic3—24no—
571Dic3—24no—
572Dic3—64no—
573Dic3—64no—
574Dic3—124no—
575Dic3C2×#23514yes—
576C32C2×#52911yescharacteristic, complemented, Sylow
577C23—22no—
578C23—22no—
579C23—94no—
580C23—184no—
581C23—184no—
582C23—184no—
583C23#379914yes—
584C23C22×D3212yes—
585C23C22×D3211yescharacteristic
586Q8—68no—
587D4—1816no—
588D4—188no—
589C2×C4—22no—
590C2×C4—28no—
591C2×C4—34no—
592C2×C4—32no—
593C2×C4—32no—
594C2×C4—32no—
595C2×C4—32no—
596C2×C4—34no—
597C2×C4—34no—
598C2×C4—68no—
599C2×C4—68no—
600C2×C4—62no—
601C2×C4—62no—
602C2×C4—62no—
603C2×C4—64no—
604C2×C4—64no—
605C2×C4—94no—
606C2×C4—1816no—
607C2×C4—184no—
608C2×C4#380414yes—
609C2×C4C22×D3212yes—
610C2×C4C22×D3212yes—
611C2×C3—24no—
612C2×C3—24no—
613C2×C3—21no—
614C2×C3—21no—
615C2×C3—21no—
616C2×C3—24no—
617C2×C3—44no—
618C2×C3#547914yescomplemented
619C2×C3#562414yescomplemented
620C2×C3C22×#23511yescharacteristic
621C2×C3C22×#23511yescharacteristic
622C2×C3C22×#23511yescharacteristic
623C2×C3C22×#23711yescharacteristic
624C2×C3C22×#23911yescharacteristic
625C2×C3C2×D3×#4111yescharacteristic
626D3—124no—
627D3—124no—
628D3—244no—
629C22—22no—
630C22—22no—
631C22—28no—
632C22—184no—
633C22—184no—
634C22—184no—
635C22—368no—
636C22C2×#379914yes—
637C22C2×#379912yes—
638C22D3×#23512yes—
639C22C2×#380412yes—
640C22C23×D3211yescharacteristic
641C4—22no—
642C4—34no—
643C4—62no—
644C4—62no—
645C4—62no—
646C4—64no—
647C4—64no—
648C4—184no—
649C4C2×#380414yes—
650C3—21no—
651C3C2×#547911yescharacteristic, complemented
652C3C2×#562411yescharacteristic, complemented
653C2—24no—
654C2—364no—
655C2#1059495514yesdirect product factor
656C2C22×#379911yescharacteristic
657C2C2×D3×#23511yescharacteristic
658C2C22×#380411yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC23×C32×C4C22
socleC23×C32C24
prime radicalC2×#64139C2
hypercenterC23×C4D32
hypocenterC32C2×#529
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
2. C2×C3×#924C2semidirect
3. C22×C3×C4×Dic3C2semidirect
4. C2×#63966C2semidirect
5. C2×#63952C2semidirect
6. #10594955C2direct (N × H)
7. C2×#63894C2semidirect
8. C2×#63869C2semidirect
9. C2×#63868C2semidirect
10. C2×#63864C2semidirect
11. C2×Dic3×Dic6C2semidirect
12. C2×#63836C2semidirect
27. C3×#924C22semidirect
33. C2×C3×C4×Dic3C22semidirect
35. #63966C22semidirect
42. #63952C22semidirect
43. #63894C22semidirect
44. #63869C22semidirect
45. #63868C22semidirect
46. #63864C22semidirect
47. Dic3×Dic6C22semidirect
48. #63836C22semidirect
58. C2×#924D3semidirect
59. C22×C4×Dic3D3semidirect
165. #924C2×D3semidirect
177. C2×C4×Dic3C2×D3semidirect
473. C2×C32#529semidirect
576. C32C2×#529semidirect
618. C2×C3#5479semidirect
619. C2×C3#5624semidirect
651. C3C2×#5479semidirect
652. C3C2×#5624semidirect
655. C2#10594955direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#641392
C2×C3×#9242
C22×C3×C4×Dic32
C2×#639662
C2×#639522
#105949552
C2×#638942
C2×#638692
C2×#638682
C2×#638642
C2×Dic3×Dic62
C2×#638362
C2×#56243
C2×#54793