Finite Group Databasebeta

← #29588194

Subgroups — #29588194

Order 15616.

846 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14519706C211yesmaximal, characteristic
2C2×#16839517C211yesmaximal, characteristic
3C2×#16839516C211yesmaximal, characteristic
4C2×#16839516C211yesmaximal, characteristic
5C2×#16839516C211yesmaximal, characteristic
6C4×#14519684C211yesmaximal, characteristic
7C2×C61×#336C211yesmaximal, characteristic
8C23×#92418C2211yescharacteristic
9C23×#92418C2211yescharacteristic
10C22×C4×Dic61C2211yescharacteristic
11C22×C4×Dic61C2211yescharacteristic
12C2×#14519706—22no—
13C2×#14519706—22no—
14C2×#14519706—22no—
15C2×#14519684C411yescharacteristic
16C2×#14519684C411yescharacteristic
17C2×#14519684C411yescharacteristic
18C2×#14519684C411yescharacteristic
19#16839517—22no—
20#16839516—22no—
21#16839516—22no—
22#16839516—22no—
23C23×C8×C61C2211yescharacteristic
24C23×C8×C61C2211yescharacteristic
25C22×C42×C61C2211yescharacteristic
26C61×#336—22no—
27C23×Dic61C2×C411yescharacteristic
28C23×Dic61C2×C411yescharacteristic
29C23×Dic61C2×C411yescharacteristic
30C23×Dic61C2×C411yescharacteristic
31C22×#92418—21no—
32C22×#92418—21no—
33C22×#92418—21no—
34C22×#92418—21no—
35C22×#92418—21no—
36C22×#92418—21no—
37C22×#92418—21no—
38C22×#92418—21no—
39C22×#92418—21no—
40C22×#92418—21no—
41C22×#92418—21no—
42C22×#92418—21no—
43C22×#92418D412yes—
44C22×#92418Q812yes—
45C2×C4×Dic61—21no—
46C2×C4×Dic61—21no—
47C2×C4×Dic61—21no—
48C2×C4×Dic61—21no—
49C2×C4×Dic61—21no—
50C2×C4×Dic61—21no—
51C2×C4×Dic61—21no—
52C2×C4×Dic61—21no—
53C2×C4×Dic61—21no—
54C2×C4×Dic61—21no—
55C2×C4×Dic61D412yes—
56C2×C4×Dic61Q812yes—
57#14519706—28no—
58#14519684—22no—
59#14519684—22no—
60#14519684—22no—
61#14519684C814yescomplemented
62C23×C4×C61C2×C411yescharacteristic
63C23×C4×C61C2×C411yescharacteristic
64C23×C4×C61C2311yescharacteristic
65C22×C8×C61—21no—
66C22×C8×C61—21no—
67C22×C8×C61—21no—
68C22×C8×C61—21no—
69C22×C8×C61—21no—
70C22×C8×C61—21no—
71C22×C8×C61—21no—
72C22×C8×C61—21no—
73C22×C8×C61—21no—
74C22×C8×C61—21no—
75C22×C8×C61—21no—
76C22×C8×C61—21no—
77C22×C8×C61D412yes—
78C22×C8×C61D412yes—
79C2×C42×C61—21no—
80C2×C42×C61—21no—
81C2×C42×C61—21no—
82C2×C42×C61—21no—
83C2×C42×C61—21no—
84C2×C42×C61—21no—
85C24×C61C22×C411yescharacteristic
86C22×C4×C61—21no—
87C22×C4×C61—21no—
88C22×C4×C61—21no—
89C22×C4×C61—21no—
90C22×C4×C61—21no—
91C22×C4×C61—21no—
92C22×C4×C61—21no—
93C22×C4×C61—21no—
94C22×C4×C61—21no—
95C22×C4×C61—21no—
96C22×C4×C61—21no—
97C22×C4×C61—21no—
98C22×C4×C61C2×C812yes—
99C22×C4×C61M1612yes—
100C22×C4×C61C2×D411yescharacteristic
101C22×C4×C61C2×D411yescharacteristic
102C22×C4×C61C2×D411yescharacteristic
103C22×C4×C61C2×D411yescharacteristic
104C22×C4×C61C2×Q811yescharacteristic
105C22×C4×C61C2×Q811yescharacteristic
106C22×C4×C61#4111yescharacteristic
107C22×C4×C61#4111yescharacteristic
108C22×C4×C61#4111yescharacteristic
109C22×C4×C61#4111yescharacteristic
110C22×C4×C61#4111yescharacteristic
111C22×C4×C61#4111yescharacteristic
112C22×C4×C61#4111yescharacteristic
113C22×C4×C61#4111yescharacteristic
114C22×Dic61—21no—
115C22×Dic61—21no—
116C22×Dic61—21no—
117C22×Dic61—21no—
118C22×Dic61—21no—
119C22×Dic61—21no—
120C22×Dic61—21no—
121C22×Dic61—21no—
122C22×Dic61—21no—
123C22×Dic61—21no—
124C22×Dic61—21no—
125C22×Dic61—21no—
126C22×Dic61—21no—
127C22×Dic61—21no—
128C22×Dic61—21no—
129C22×Dic61—21no—
130C22×Dic61—21no—
131C22×Dic61—21no—
132C22×Dic61—21no—
133C22×Dic61—21no—
134C22×Dic61—21no—
135C22×Dic61—21no—
136C22×Dic61C4⋊C412yes—
137C22×Dic61C4⋊C412yes—
138C22×Dic61C2×C812yes—
139C22×Dic61C2×C812yes—
140C22×Dic61M1612yes—
141C22×Dic61M1612yes—
142C2×C8×C61—22no—
143C2×C8×C61—22no—
144C2×C8×C61—22no—
145C2×C8×C61—22no—
146C2×C8×C61—22no—
147C2×C8×C61—22no—
148C2×C8×C61—41no—
149C2×C8×C61—41no—
150C2×C8×C61—41no—
151C2×C8×C61—41no—
152C2×C8×C61—41no—
153C2×C8×C61—41no—
154C2×C8×C61—41no—
155C2×C8×C61—41no—
156C42×C61—41no—
157C42×C61—41no—
158C42×C61—41no—
159C42×C61—41no—
160C4×Dic61—22no—
161C4×Dic61—22no—
162C4×Dic61—22no—
163C4×Dic61—22no—
164C4×Dic61—41no—
165C4×Dic61—41no—
166C4×Dic61—41no—
167C4×Dic61—41no—
168C2×#92418—22no—
169C2×#92418—22no—
170C2×#92418—22no—
171C2×#92418—22no—
172C2×#92418—22no—
173C2×#92418—22no—
174C2×#92418—41no—
175C2×#92418—41no—
176C2×#92418—41no—
177C2×#92418—41no—
178C2×#92418—41no—
179C2×#92418—41no—
180C2×#92418—41no—
181C2×#92418—41no—
182C23×C61C2×C4⋊C411yescharacteristic
183C23×C61#11711yescharacteristic
184C23×C61#11711yescharacteristic
185C23×C61C4×D411yescharacteristic
186C23×C61C4×D411yescharacteristic
187C23×C61C4×D411yescharacteristic
188C23×C61C4×Q811yescharacteristic
189C23×C61C22×C811yescharacteristic
190C23×C61C2×M1611yescharacteristic
191C23×C61C2×M1611yescharacteristic
192C23×C61C2×M1611yescharacteristic
193C23×C61#13111yescharacteristic
194C23×C61#13111yescharacteristic
195C23×C61#13111yescharacteristic
196C23×C61#13111yescharacteristic
197C2×C4×C61—22no—
198C2×C4×C61—22no—
199C2×C4×C61—22no—
200C2×C4×C61—22no—
201C2×C4×C61—22no—
202C2×C4×C61—22no—
203C2×C4×C61—41no—
204C2×C4×C61—41no—
205C2×C4×C61—41no—
206C2×C4×C61—41no—
207C2×C4×C61—41no—
208C2×C4×C61—41no—
209C2×C4×C61—41no—
210C2×C4×C61—41no—
211C2×C4×C61#12011yescharacteristic
212C2×C4×C61#12111yescharacteristic
213C2×C4×C61#12111yescharacteristic
214C2×C4×C61#12111yescharacteristic
215C2×C4×C61C22⋊Q811yescharacteristic
216C2×C4×C61C22⋊Q811yescharacteristic
217C2×C4×C61C22⋊Q811yescharacteristic
218C2×C4×C61C22⋊Q811yescharacteristic
219C2×C4×C61C22⋊Q811yescharacteristic
220C2×C4×C61#12311yescharacteristic
221C2×C4×C61#12311yescharacteristic
222C2×C4×C61#12311yescharacteristic
223C2×C4×C61#12311yescharacteristic
224C2×C4×C61#12311yescharacteristic
225C2×C4×C61#12411yescharacteristic
226C2×C4×C61#12411yescharacteristic
227C2×C4×C61#12411yescharacteristic
228C2×C4×C61#12411yescharacteristic
229C2×C4×C61#12511yescharacteristic
230C2×C4×C61#12511yescharacteristic
231C2×C4×C61#12511yescharacteristic
232C2×C4×C61#12511yescharacteristic
233C2×C4×C61#12511yescharacteristic
234C2×C4×C61#12611yescharacteristic
235C2×C4×C61#12611yescharacteristic
236C2×C4×C61#12611yescharacteristic
237C2×C4×C61#12611yescharacteristic
238C2×C4×C61C4⋊Q811yescharacteristic
239C2×Dic61—22no—
240C2×Dic61—22no—
241C2×Dic61—22no—
242C2×Dic61—22no—
243C2×Dic61—22no—
244C2×Dic61—22no—
245C2×Dic61—22no—
246C2×Dic61—22no—
247C2×Dic61—22no—
248C2×Dic61—22no—
249C2×Dic61—22no—
250C2×Dic61—22no—
251C2×Dic61—22no—
252C2×Dic61—22no—
253C2×Dic61—22no—
254C2×Dic61—41no—
255C2×Dic61—41no—
256C2×Dic61—41no—
257C2×Dic61—41no—
258C2×Dic61—41no—
259C2×Dic61—41no—
260C2×Dic61—41no—
261C2×Dic61—41no—
262C2×Dic61—41no—
263C2×Dic61—41no—
264C2×Dic61—41no—
265C2×Dic61—41no—
266C2×Dic61C4⋊C814yes—
267C8×C61—42no—
268C8×C61—42no—
269#92418—42no—
270#92418—42no—
271#11255—611nomaximal, Sylow
272C22×C61#38211yescharacteristic
273C22×C61#38511yescharacteristic
274C22×C61#38711yescharacteristic
275C22×C61#38711yescharacteristic
276C22×C61#38811yescharacteristic
277C22×C61#38811yescharacteristic
278C22×C61#38911yescharacteristic
279C22×C61C2×C4⋊C811yescharacteristic
280C22×C61#42311yescharacteristic
281C22×C61#42411yescharacteristic
282C22×C61#42411yescharacteristic
283C22×C61#43111yescharacteristic
284C22×C61#43111yescharacteristic
285C22×C61#43211yescharacteristic
286C22×C61#43211yescharacteristic
287C22×C61#43311yescharacteristic
288C22×C61#43311yescharacteristic
289C22×C61#43311yescharacteristic
290C22×C61#43311yescharacteristic
291C22×C61C8×D411yescharacteristic
292C22×C61C8×D411yescharacteristic
293C22×C61C8×D411yescharacteristic
294C22×C61#43511yescharacteristic
295C22×C61#43511yescharacteristic
296C22×C61#43511yescharacteristic
297C22×C61#43511yescharacteristic
298C22×C61#43511yescharacteristic
299C22×C61#43511yescharacteristic
300C22×C61#43611yescharacteristic
301C22×C61#43611yescharacteristic
302C22×C61#43611yescharacteristic
303C22×C61C8×Q811yescharacteristic
304C22×C61#44611yescharacteristic
305C22×C61#44611yescharacteristic
306C22×C61#44611yescharacteristic
307C4×C61—42no—
308C4×C61—42no—
309C4×C61#39311yescharacteristic
310C4×C61#39411yescharacteristic
311C4×C61#39711yescharacteristic
312C4×C61#39811yescharacteristic
313C4×C61#39811yescharacteristic
314C4×C61#40011yescharacteristic
315C4×C61#40011yescharacteristic
316C4×C61#40011yescharacteristic
317Dic61—24no—
318Dic61—42no—
319Dic61—42no—
320Dic61—42no—
321C22×C4⋊C8—611no—
322C2×#336—611no—
323C2×#336—611no—
324C2×#336—611no—
325C2×#336—611no—
326C2×#336D6111yescharacteristic
327C4×#95—611no—
328C2×C61#144211yescharacteristic
329C2×C61#183111yescharacteristic
330C2×C61#183211yescharacteristic
331C2×C61#185011yescharacteristic
332C2×C61#185111yescharacteristic
333C2×C61#191611yescharacteristic
334C2×C61#191611yescharacteristic
335C2×C61#191711yescharacteristic
336C2×C61#191711yescharacteristic
337C2×C61#192311yescharacteristic
338C2×C61#192311yescharacteristic
339C2×C61#192411yescharacteristic
340C2×C61#192411yescharacteristic
341C2×C61#193911yescharacteristic
342C2×C61#194011yescharacteristic
343C23×C8—611no—
344C23×C8—611no—
345C23×C8C2×D6111yescharacteristic
346C23×C8C2×D6111yescharacteristic
347C22×C42—611no—
348C22×C42—611no—
349C22×C42C2×D6111yescharacteristic
350C2×C4⋊C8—1222no—
351C2×C4⋊C8—1222no—
352C2×C4⋊C8—1222no—
353C2×#95—611no—
354C2×#95—611no—
355C2×#95—611no—
356C2×#95—611no—
357#336—22no—
358#336—1222no—
359#336—1222no—
360#336—1222no—
361#336—1222no—
362C61#1125511yescharacteristic, complemented, Sylow
363C23×C4—611no—
364C23×C4—611no—
365C23×C4—611no—
366C23×C4—611no—
367C23×C4C4×D6111yescharacteristic
368C23×C4C4×D6111yescharacteristic
369C23×C4C22×D6111yescharacteristic
370C22×C8—21no—
371C22×C8—21no—
372C22×C8—21no—
373C22×C8—21no—
374C22×C8—21no—
375C22×C8—21no—
376C22×C8—21no—
377C22×C8—21no—
378C22×C8—21no—
379C22×C8—21no—
380C22×C8—21no—
381C22×C8—21no—
382C22×C8—612no—
383C22×C8—612no—
384C22×C8—1221no—
385C22×C8—1221no—
386C22×C8—1221no—
387C22×C8—1221no—
388C22×C8—1221no—
389C22×C8—1221no—
390C22×C8—1221no—
391C22×C8—1221no—
392C22×C8—1221no—
393C22×C8—1221no—
394C22×C8—1221no—
395C22×C8—1221no—
396C22×C8D24412yes—
397C22×C8C22⋊D6112yes—
398C2×C42—21no—
399C2×C42—21no—
400C2×C42—21no—
401C2×C42—21no—
402C2×C42—21no—
403C2×C42—21no—
404C2×C42—612no—
405C2×C42—612no—
406C2×C42—1221no—
407C2×C42—1221no—
408C2×C42—1221no—
409C2×C42—1221no—
410C2×C42—1221no—
411C2×C42—1221no—
412C2×C42—1221no—
413C2×C42—1221no—
414C2×C42—1221no—
415C2×C42—1221no—
416C4⋊C8—1228no—
417#95—614no—
418#95—1222no—
419#95—1222no—
420#95—1222no—
421C24C2×C4×D6111yescharacteristic
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4—21no—
434C22×C4—612no—
435C22×C4—612no—
436C22×C4—612no—
437C22×C4—612no—
438C22×C4—612no—
439C22×C4—612no—
440C22×C4—1221no—
441C22×C4—1221no—
442C22×C4—1221no—
443C22×C4—1221no—
444C22×C4—1221no—
445C22×C4—1221no—
446C22×C4—1221no—
447C22×C4—1221no—
448C22×C4—1221no—
449C22×C4—1221no—
450C22×C4—1221no—
451C22×C4—1221no—
452C22×C4—1221no—
453C22×C4—1221no—
454C22×C4—1221no—
455C22×C4—1221no—
456C22×C4—1221no—
457C22×C4—1221no—
458C22×C4—1221no—
459C22×C4—1221no—
460C22×C4—1221no—
461C22×C4—1221no—
462C22×C4C8×D6112yes—
463C22×C4#1175818912yes—
464C22×C4C2×D24411yescharacteristic
465C22×C4#1175822211yescharacteristic
466C22×C4#1175822211yescharacteristic
467C22×C4#1175822211yescharacteristic
468C22×C4#1175822211yescharacteristic
469C22×C4D4×D6111yescharacteristic
470C22×C4D4×D6111yescharacteristic
471C22×C4#1175822411yescharacteristic
472C22×C4#1175822411yescharacteristic
473C22×C4#1175822411yescharacteristic
474C22×C4#1175822411yescharacteristic
475C22×C4Q8×D6111yescharacteristic
476C22×C4Q8×D6111yescharacteristic
477C22×C4C2×C22⋊D6111yescharacteristic
478C2×C8—22no—
479C2×C8—22no—
480C2×C8—22no—
481C2×C8—22no—
482C2×C8—22no—
483C2×C8—22no—
484C2×C8—41no—
485C2×C8—41no—
486C2×C8—41no—
487C2×C8—41no—
488C2×C8—41no—
489C2×C8—41no—
490C2×C8—41no—
491C2×C8—41no—
492C2×C8—1222no—
493C2×C8—1222no—
494C2×C8—1222no—
495C2×C8—1222no—
496C2×C8—1222no—
497C2×C8—1222no—
498C2×C8—2441no—
499C2×C8—2441no—
500C2×C8—2441no—
501C2×C8—2441no—
502C2×C8—2441no—
503C2×C8—2441no—
504C2×C8—2441no—
505C2×C8—2441no—
506C42—41no—
507C42—41no—
508C42—41no—
509C42—41no—
510C42—1222no—
511C42—1222no—
512C42—1222no—
513C42—1222no—
514C42—2441no—
515C42—2441no—
516C42—2441no—
517C42—2441no—
518C23C4⋊C4×D6111yescharacteristic
519C23#1451973311yescharacteristic
520C23#1451973411yescharacteristic
521C23#1451973711yescharacteristic
522C23C4×C22⋊D6111yescharacteristic
523C23C4×D24411yescharacteristic
524C23#1451974211yescharacteristic
525C23C2×C8×D6111yescharacteristic
526C23M16×D6111yescharacteristic
527C23M16×D6111yescharacteristic
528C23C2×#1175818911yescharacteristic
529C23#1451978311yescharacteristic
530C23#1451978311yescharacteristic
531C23#1451978511yescharacteristic
532C23#1451978511yescharacteristic
533C2×C4—22no—
534C2×C4—22no—
535C2×C4—22no—
536C2×C4—22no—
537C2×C4—22no—
538C2×C4—22no—
539C2×C4—41no—
540C2×C4—41no—
541C2×C4—41no—
542C2×C4—41no—
543C2×C4—41no—
544C2×C4—41no—
545C2×C4—41no—
546C2×C4—41no—
547C2×C4—614no—
548C2×C4—1222no—
549C2×C4—1222no—
550C2×C4—1222no—
551C2×C4—1222no—
552C2×C4—1222no—
553C2×C4—1222no—
554C2×C4—1222no—
555C2×C4—1222no—
556C2×C4—1222no—
557C2×C4—1222no—
558C2×C4—1222no—
559C2×C4—1222no—
560C2×C4—1222no—
561C2×C4—1222no—
562C2×C4—1222no—
563C2×C4—2441no—
564C2×C4—2441no—
565C2×C4—2441no—
566C2×C4—2441no—
567C2×C4—2441no—
568C2×C4—2441no—
569C2×C4—2441no—
570C2×C4—2441no—
571C2×C4—2441no—
572C2×C4—2441no—
573C2×C4—2441no—
574C2×C4—2441no—
575C2×C4#1451974711yescharacteristic
576C2×C4#1451974811yescharacteristic
577C2×C4#1451974911yescharacteristic
578C2×C4#1451975111yescharacteristic
579C2×C4#1451975511yescharacteristic
580C2×C4#1451975511yescharacteristic
581C2×C4#1451975511yescharacteristic
582C2×C4#1451975711yescharacteristic
583C2×C4#1451975711yescharacteristic
584C2×C4#1451975811yescharacteristic
585C2×C4#1451975911yescharacteristic
586C2×C4#1451975911yescharacteristic
587C2×C4#1451976011yescharacteristic
588C2×C4#1451976111yescharacteristic
589C2×C4#1451976311yescharacteristic
590C2×C4#1451976311yescharacteristic
591C2×C4#1451976311yescharacteristic
592C2×C4#1451976511yescharacteristic
593C2×C4#1451976711yescharacteristic
594C2×C4#1451976711yescharacteristic
595C2×C4#1451976711yescharacteristic
596C2×C4#1451976711yescharacteristic
597C2×C4#1451976711yescharacteristic
598C2×C4#1451977011yescharacteristic
599C2×C4#1451977011yescharacteristic
600C2×C4#1451977011yescharacteristic
601C2×C4#1451977111yescharacteristic
602C2×C4#1451977511yescharacteristic
603C8—42no—
604C8—42no—
605C8—2442no—
606C8—2442no—
607C22#1683962611yescharacteristic
608C22#1683963611yescharacteristic
609C22#1683964411yescharacteristic
610C22#1683964711yescharacteristic
611C22#1683965011yescharacteristic
612C22#1683965311yescharacteristic
613C22#1683965711yescharacteristic
614C22C4⋊C8×D6111yescharacteristic
615C22#1683978411yescharacteristic
616C22#1683978711yescharacteristic
617C22#1683978711yescharacteristic
618C22#1683981211yescharacteristic
619C22#1683981311yescharacteristic
620C22#1683981611yescharacteristic
621C22#1683981711yescharacteristic
622C22#1683982011yescharacteristic
623C22#1683982011yescharacteristic
624C22#1683982111yescharacteristic
625C22#1683982411yescharacteristic
626C22#1683982511yescharacteristic
627C22C8×C22⋊D6111yescharacteristic
628C22C8×D24411yescharacteristic
629C22#1683983011yescharacteristic
630C22#1683983111yescharacteristic
631C22#1683983311yescharacteristic
632C22#1683983511yescharacteristic
633C22#1683983511yescharacteristic
634C22#1683983611yescharacteristic
635C22#1683983711yescharacteristic
636C22#1683983811yescharacteristic
637C22#1683984111yescharacteristic
638C22#1683988611yescharacteristic
639C22#1683988911yescharacteristic
640C22#1683989111yescharacteristic
641C22#1683989111yescharacteristic
642C4—42no—
643C4—42no—
644C4—1224no—
645C4—2442no—
646C4—2442no—
647C4—2442no—
648C4#1683967511yescharacteristic
649C4#1683967811yescharacteristic
650C4#1683969011yescharacteristic
651C4#1683969211yescharacteristic
652C4#1683969311yescharacteristic
653C4#1683970211yescharacteristic
654C4#1683970311yescharacteristic
655C4#1683970311yescharacteristic
656C2#2144407411yescharacteristic
657C2#2144593411yescharacteristic
658C2#2144593711yescharacteristic
659C2#2144599811yescharacteristic
660C2#2144600311yescharacteristic
661C2#2144637411yescharacteristic
662C2#2144637711yescharacteristic
663C2#2144638111yescharacteristic
664C2#2144638411yescharacteristic
665C2#2144642211yescharacteristic
666C2#2144642511yescharacteristic
667C2#2144642911yescharacteristic
668C2#2144643211yescharacteristic
669C2#2144653411yescharacteristic
670C2#2144653911yescharacteristic
subgroupG/H
center, FrattiniC23×C4C22×D61
commutatorC23×C61C22×C8
FittingC2×C61×#336C2
socle, prime radicalC24×C61C22×C4
cosocleC23×C4×C61C23
hypercenterC2×#336D61
hypocenterC61#11255
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23×C4 ◁ C2×#336

Complements

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

NH ≅ G/Ntype
61. #14519684C8semidirect
362. C61#11255semidirect

Maximal subgroups

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

subgroupindex
C22×#145197062
C2×#168395172
C2×#168395162
C4×#145196842
C2×C61×#3362
#1125561