Finite Group Databasebeta

← #25135361

Subgroups — #25135361

Order 11008.

976 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583063C211yesmaximal, characteristic
2#19142934C211yesmaximal, characteristic, complemented
3#19137085C211yesmaximal, characteristic
4#19135989C211yesmaximal, characteristic, complemented
5#19135968C211yesmaximal, characteristic, complemented
6#19135918C211yesmaximal, characteristic, complemented
7#19135913C211yesmaximal, characteristic, complemented
8#19135476C211yesmaximal, characteristic, complemented
9#19135466C211yesmaximal, characteristic, complemented
10#19135292C211yesmaximal, characteristic, complemented
11#19135285C211yesmaximal, characteristic, complemented
12#19134905C211yesmaximal, characteristic, complemented
13#19134796C211yesmaximal, characteristic, complemented
14#19134536C211yesmaximal, characteristic
15C2×C43×#432C211yesmaximal, characteristic, complemented
16C22×#10621898C2211yescharacteristic
17C22×Dic172C2211yescharacteristic
18C22×#10621873C2211yescharacteristic
19C2×#13063304C2211yescharacteristic
20C2×#13063284C2211yescharacteristic
21#14583063—24no—
22C2×#13063259C2211yescharacteristic
23C2×#13063257C2211yescharacteristic
24C2×#13063250C2211yescharacteristic
25C2×#13063250C2211yescharacteristic
26C2×#13063250C2211yescharacteristic
27C2×#13063250C2211yescharacteristic
28C2×#13063250C2211yescharacteristic
29C2×#13063247C2211yescharacteristic
30C2×#13063247C2211yescharacteristic
31C2×#13063247C2211yescharacteristic
32#14582805C2211yescharacteristic
33#14582805C2211yescharacteristic
34#14582805C2211yescharacteristic
35#14582805C2211yescharacteristic
36#14582801C2211yescharacteristic
37#14582801C2211yescharacteristic
38#14582797C2211yescharacteristic
39#14582797C2211yescharacteristic
40#14582783—21no—
41#14582783—21no—
42#14582778—21no—
43#14582778—21no—
44#14582772—21no—
45#14582762—21no—
46#14582759C2211yescharacteristic
47C4×(C2×D43)⋊C4—21no—
48C4×(C2×D43)⋊C4—21no—
49#14582662C2211yescharacteristic
50#14582662C2211yescharacteristic
51#14582662C2211yescharacteristic
52#14582662C2211yescharacteristic
53C22×C42×C43C2211yescharacteristic
54C43×#432—24no—
55C2×C4⋊C8×C43C2211yescharacteristic
56C2×C4⋊C8×C43C2211yescharacteristic
57C2×C22⋊C8×C43C2211yescharacteristic
58C2×C22⋊C8×C43C2211yescharacteristic
59C2×#97×C43C2211yescharacteristic
60C2×#97×C43C2211yescharacteristic
61C2×#10621898—22no—
62C2×#10621898—22no—
63C2×#10621898—22no—
64C2×#10621898—22no—
65C2×#10621898—41no—
66C2×#10621898—41no—
67C22×Dic86C2311yescharacteristic
68C22×Dic86C2311yescharacteristic
69C22×D172C2311yescharacteristic
70C22×C22⋊D43—21no—
71C22×C4×D43—21no—
72C2×Dic172—22no—
73C2×Dic172—22no—
74C2×Dic172—41no—
75C2×#10621873—22no—
76C2×#10621873—22no—
77C2×#10621873—41no—
78#13063304—22no—
79#13063304—22no—
80#13063284—41no—
81#13063284—41no—
82C2×C4⋊Dic43C2311yescharacteristic
83C2×C4⋊Dic43C2311yescharacteristic
84C2×C4⋊Dic43C2311yescharacteristic
85C2×C4⋊Dic43C2311yescharacteristic
86C2×C4⋊Dic43C2311yescharacteristic
87C2×Dic43⋊C4—21no—
88C2×Dic43⋊C4—21no—
89C2×Dic43⋊C4—21no—
90C2×C22⋊Dic43—21no—
91C2×C22⋊Dic43—21no—
92C2×C22⋊Dic43—21no—
93C2×(C2×D43)⋊C4—21no—
94C2×(C2×D43)⋊C4—21no—
95C2×(C2×D43)⋊C4—21no—
96C2×(C2×D43)⋊C4—21no—
97C2×C4×Dic43—21no—
98#13063259—41no—
99#13063257—41no—
100#13063250—22no—
101#13063250—22no—
102#13063250—41no—
103#13063250—41no—
104#13063250—41no—
105#13063247—22no—
106#13063247—22no—
107#13063247—41no—
108C43⋊#95—21no—
109C43⋊#95—21no—
110C43⋊#95—21no—
111C43⋊#95—21no—
112C43⋊#95—21no—
113C43⋊#95—21no—
114C43⋊#95—21no—
115C43⋊#95—21no—
116C43⋊#95—21no—
117C43⋊#95—21no—
118C43⋊#95—21no—
119C23×C4×C43D411yescharacteristic
120C23×C4×C43D411yescharacteristic
121C23×C4×C43C2311yescharacteristic
122C22×C8×C43C2311yescharacteristic
123C22×C8×C43C2311yescharacteristic
124C22×C8×C43C2311yescharacteristic
125C22×C8×C43C2311yescharacteristic
126C2×C42×C43—22no—
127C2×C42×C43—22no—
128C2×C42×C43D411yescharacteristic
129C2×C42×C43D411yescharacteristic
130C2×C42×C43C2311yescharacteristic
131C2×C42×C43C2311yescharacteristic
132C4⋊C8×C43—22no—
133C4⋊C8×C43—22no—
134C22⋊C8×C43—22no—
135C22⋊C8×C43D414yes—
136#97×C43—22no—
137#97×C43—22no—
138C24×C43C2×D411yescharacteristic
139C23×D43—21no—
140C22×C4×C43—21no—
141C22×C4×C43—21no—
142C22×C4×C43—21no—
143C22×C4×C43—21no—
144C22×C4×C43—22no—
145C22×C4×C43—22no—
146C22×C4×C43—22no—
147C22×C4×C43—41no—
148C22×C4×C43—41no—
149C22×C4×C43—41no—
150C22×C4×C43C2×D412yes—
151C22×C4×C43C2×D411yescharacteristic
152C22×C4×C43C2×D411yescharacteristic
153C22×C4×C43C2×D411yescharacteristic
154C22×C4×C43C2×D411yescharacteristic
155C22×C4×C43C2×D411yescharacteristic
156C22×C4×C43#4112yes—
157C22×C4×C43C2411yescharacteristic
158C2×C22⋊D43—24no—
159C2×C22⋊D43—42no—
160C2×C22⋊D43—42no—
161C22×Dic43—21no—
162C22×Dic43—21no—
163C22×Dic43—21no—
164C22×Dic43—21no—
165C22×Dic43—21no—
166C22×Dic43—21no—
167C22×Dic43—21no—
168#10621898—44no—
169#10621898—44no—
170#10621898—44no—
171#10621898—44no—
172C2×D172—21no—
173C2×D172—21no—
174C2×D172—21no—
175C2×D172—21no—
176C2×D172—21no—
177C2×D172#4112yes—
178C2×C4×D43—24no—
179C2×C4×D43—42no—
180C2×C4×D43—42no—
181C2×Dic86—21no—
182C2×Dic86—21no—
183C2×Dic86—21no—
184C2×Dic86—21no—
185C2×Dic86—21no—
186C2×Dic86—21no—
187C2×Dic86—21no—
188C2×Dic86—21no—
189C2×Dic86—21no—
190C2×Dic86—21no—
191C2×Dic86—21no—
192C2×Dic86#4112yes—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43—21no—
198C2×C8×C43—21no—
199C2×C8×C43—21no—
200C2×C8×C43—21no—
201C2×C8×C43—21no—
202C2×C8×C43—21no—
203C2×C8×C43C2×D412yes—
204C2×C8×C43C2×D412yes—
205C42×C43—22no—
206C42×C43—22no—
207C42×C43—21no—
208C42×C43—21no—
209C42×C43—21no—
210C42×C43—21no—
211C22⋊Dic43—42no—
212C22⋊Dic43—42no—
213C22⋊Dic43—42no—
214(C2×D43)⋊C4—42no—
215(C2×D43)⋊C4—42no—
216(C2×D43)⋊C4—42no—
217(C2×D43)⋊C4—42no—
218C4⋊Dic43—21no—
219C4⋊Dic43—21no—
220C4⋊Dic43—21no—
221C4⋊Dic43—21no—
222C4⋊Dic43—21no—
223C4⋊Dic43—21no—
224C4⋊Dic43—21no—
225C4⋊Dic43—21no—
226C4⋊Dic43—21no—
227C4⋊Dic43—21no—
228Dic43⋊C4—42no—
229Dic43⋊C4—42no—
230Dic43⋊C4—42no—
231C4×Dic43—42no—
232Dic172—44no—
233#10621873—44no—
234C23×C43—21no—
235C23×C43—21no—
236C23×C43—21no—
237C23×C43—21no—
238C23×C43—21no—
239C23×C43—21no—
240C23×C43#12112yes—
241C23×C43C22×D411yescharacteristic
242C22×D43—22no—
243C22×D43—41no—
244C22×D43—41no—
245C22×D43—41no—
246C22×D43—41no—
247C22×D43—41no—
248C22×D43—41no—
249C2×C4×C43—21no—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
252C2×C4×C43—21no—
253C2×C4×C43—22no—
254C2×C4×C43—22no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—21no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—21no—
266C2×C4×C43—44no—
267C2×C4×C43—44no—
268C2×C4×C43#12112yes—
269C2×C4×C43#13712yes—
270C2×C4×C43C22×D411yescharacteristic
271C2×C4×C43C2×#4111yescharacteristic
272C2×C4×C43C2×#4111yescharacteristic
273C2×C4×C43C2×#4111yescharacteristic
274C2×C4×C43H(5,𝔽2)11yescharacteristic
275C2×C4×C43H(5,𝔽2)11yescharacteristic
276C22⋊D43—48no—
277C2×Dic43—22no—
278C2×Dic43—41no—
279C2×Dic43—41no—
280C2×Dic43—41no—
281C2×Dic43—41no—
282C2×Dic43—41no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—41no—
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—
298D172—22no—
299D172—22no—
300D172—41no—
301D172—41no—
302C4×D43—48no—
303Dic86—22no—
304Dic86—22no—
305Dic86—41no—
306Dic86—41no—
307Dic86—41no—
308Dic86—41no—
309Dic86—41no—
310Dic86—41no—
311C8×C43—22no—
312C8×C43—22no—
313C8×C43—41no—
314C8×C43—41no—
315#24511—431nomaximal, Sylow
316C22×C43—22no—
317C22×C43—22no—
318C22×C43—22no—
319C22×C43—41no—
320C22×C43—41no—
321C22×C43—41no—
322C22×C43—41no—
323C22×C43C2×#12111yescharacteristic
324C22×C43#52511yescharacteristic
325C22×C43#53511yescharacteristic
326C22×C43C2×#13711yescharacteristic
327C22×C43#57511yescharacteristic
328C22×C43#57511yescharacteristic
329C22×C43#57511yescharacteristic
330C2×D43—42no—
331C2×D43—42no—
332C2×D43—42no—
333C2×D43—81no—
334C2×D43—81no—
335C2×D43—81no—
336C2×D43—81no—
337C4×C43—22no—
338C4×C43—22no—
339C4×C43—41no—
340C4×C43—41no—
341C4×C43—41no—
342C4×C43#54611yescharacteristic
343C4×C43#54611yescharacteristic
344C4×C43#55111yescharacteristic
345C4×C43#55111yescharacteristic
346Dic43—42no—
347Dic43—81no—
348Dic43—81no—
349Dic43—81no—
350Dic43—81no—
351Dic43—81no—
352Dic43—81no—
353C2×#452—431no—
354C2×#432D4311yescharacteristic, complemented
355#2855—431no—
356#2297—431no—
357#2068—431no—
358#2065—431no—
359#2056—431no—
360#2055—431no—
361#1973—431no—
362#1971—431no—
363#1936—431no—
364#1935—431no—
365#1873—431no—
366#1854—431no—
367#1788—431no—
368C2×C43—42no—
369C2×C43#241111yescharacteristic
370C2×C43#305411yescharacteristic
371C2×C43#305611yescharacteristic
372C2×C43#311111yescharacteristic
373C2×C43#311611yescharacteristic
374C2×C43#321611yescharacteristic
375C2×C43#321911yescharacteristic
376D43—82no—
377C22×#41—431no—
378C22×Q16—431no—
379C22×SD16—431no—
380C2×C22⋊Q8—431no—
381C2×#117—431no—
382C22×C42C2×D4311yescharacteristic
383#452—864no—
384#432—24no—
385C2×#107—431no—
386C2×#106—431no—
387C2×C4⋊C8C2×D4311yescharacteristic
388C2×C4⋊C8C2×D4311yescharacteristic
389C2×#103—431no—
390C2×#103—431no—
391C2×#103—431no—
392C2×#103—431no—
393C2×#103—431no—
394C2×#102—431no—
395C2×#102—431no—
396C2×#102—431no—
397C2×C22⋊C8C2×D4311yescharacteristic
398C2×C22⋊C8C2×D4311yescharacteristic
399C2×#97C2×D4311yescharacteristic
400C2×#97C2×D4311yescharacteristic
401#391—431no—
402#391—431no—
403#391—431no—
404#391—431no—
405#390—431no—
406#390—431no—
407#389—431no—
408#389—431no—
409#387—861no—
410#387—861no—
411#386—861no—
412#386—861no—
413#385—861no—
414#381—861no—
415#380—431no—
416C4×C22⋊C4—861no—
417C4×C22⋊C4—861no—
418#340—431no—
419#340—431no—
420#340—431no—
421#340—431no—
422C43#2451111yescharacteristic, complemented, Sylow
423C2×#41—862no—
424C2×#41—862no—
425C2×#41—862no—
426C2×#41—862no—
427C2×#41—1721no—
428C2×#41—1721no—
429C22×Q8—431no—
430C22×Q8—431no—
431C22×D4—431no—
432C22×D4—861no—
433C23×C4—861no—
434C23×C4D17211yescharacteristic
435C23×C4D17211yescharacteristic
436C23×C4C22×D4311yescharacteristic
437C2×Q16—862no—
438C2×Q16—862no—
439C2×Q16—1721no—
440C2×SD16—862no—
441C2×SD16—862no—
442C2×SD16—1721no—
443C22×C8C22×D4311yescharacteristic
444C22×C8C22×D4311yescharacteristic
445C22×C8C22×D4311yescharacteristic
446C22×C8C22×D4311yescharacteristic
447C22⋊Q8—862no—
448C22⋊Q8—862no—
449#117—1721no—
450#117—1721no—
451C2×C4⋊C4—431no—
452C2×C4⋊C4—431no—
453C2×C4⋊C4—431no—
454C2×C4⋊C4—431no—
455C2×C4⋊C4—431no—
456C2×C4⋊C4—861no—
457C2×C4⋊C4—861no—
458C2×C4⋊C4—861no—
459C2×C22⋊C4—861no—
460C2×C22⋊C4—861no—
461C2×C22⋊C4—861no—
462C2×C22⋊C4—861no—
463C2×C22⋊C4—861no—
464C2×C22⋊C4—861no—
465C2×C22⋊C4—861no—
466C2×C42—22no—
467C2×C42—22no—
468C2×C42—861no—
469C2×C42D17211yescharacteristic
470C2×C42D17211yescharacteristic
471C2×C42C22×D4311yescharacteristic
472C2×C42C22×D4311yescharacteristic
473#107—1721no—
474#106—1721no—
475C4⋊C8—22no—
476C4⋊C8—22no—
477#103—862no—
478#103—862no—
479#103—1721no—
480#103—1721no—
481#103—1721no—
482#102—862no—
483#102—862no—
484#102—1721no—
485C22⋊C8—22no—
486C22⋊C8C22⋊D4314yes—
487#97—22no—
488#97—22no—
489#95—861no—
490#95—861no—
491#95—861no—
492#95—861no—
493#95—861no—
494#95—861no—
495#95—861no—
496#95—861no—
497#95—861no—
498#95—861no—
499#95—861no—
500C24—861no—
501C24C2×D17211yescharacteristic
502#41—1724no—
503#41—1724no—
504#41—1724no—
505#41—1724no—
506C2×Q8—432no—
507C2×Q8—861no—
508C2×Q8—861no—
509C2×Q8—861no—
510C2×Q8—861no—
511C2×Q8—861no—
512C2×Q8—861no—
513C2×Q8—861no—
514C2×Q8—861no—
515C2×Q8—861no—
516C2×Q8—861no—
517C2×Q8—861no—
518C2×D4—432no—
519C2×D4—864no—
520C2×D4—861no—
521C2×D4—861no—
522C2×D4—861no—
523C2×D4—861no—
524C2×D4—861no—
525C2×D4—1722no—
526C2×D4—1722no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—41no—
535C22×C4—41no—
536C22×C4—41no—
537C22×C4—864no—
538C22×C4—861no—
539C22×C4—861no—
540C22×C4—861no—
541C22×C4—861no—
542C22×C4—861no—
543C22×C4—861no—
544C22×C4—861no—
545C22×C4—1722no—
546C22×C4—1722no—
547C22×C4C2×D17211yescharacteristic
548C22×C4C2×D17211yescharacteristic
549C22×C4C2×D17211yescharacteristic
550C22×C4C2×D17211yescharacteristic
551C22×C4C2×D17211yescharacteristic
552C22×C4#1062189812yes—
553C22×C4C2×C22⋊D4312yes—
554C22×C4C23×D4311yescharacteristic
555Q16—1724no—
556SD16—1724no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8C2×C22⋊D4312yes—
568C2×C8C2×C22⋊D4312yes—
569C4⋊C4—861no—
570C4⋊C4—861no—
571C4⋊C4—861no—
572C4⋊C4—861no—
573C4⋊C4—861no—
574C4⋊C4—861no—
575C4⋊C4—861no—
576C4⋊C4—861no—
577C4⋊C4—861no—
578C4⋊C4—861no—
579C4⋊C4—1722no—
580C4⋊C4—1722no—
581C4⋊C4—1722no—
582C22⋊C4—1722no—
583C22⋊C4—1722no—
584C22⋊C4—1722no—
585C22⋊C4—1722no—
586C22⋊C4—1722no—
587C22⋊C4—1722no—
588C22⋊C4—1722no—
589C42—22no—
590C42—22no—
591C42—21no—
592C42—21no—
593C42—21no—
594C42—21no—
595C42—1722no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—862no—
603C23—1721no—
604C23—1721no—
605C23—1721no—
606C23—1721no—
607C23—1721no—
608C23—1721no—
609C23#1306329912yes—
610C23C22×D17211yescharacteristic
611Q8—862no—
612Q8—862no—
613Q8—1721no—
614Q8—1721no—
615Q8—1721no—
616Q8—1721no—
617Q8—1721no—
618Q8—1721no—
619D4—862no—
620D4—862no—
621D4—1728no—
622D4—1721no—
623D4—1721no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—44no—
642C2×C4—44no—
643C2×C4—862no—
644C2×C4—1728no—
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—1721no—
654C2×C4—1721no—
655C2×C4—1721no—
656C2×C4—1721no—
657C2×C4—1721no—
658C2×C4—1721no—
659C2×C4—1721no—
660C2×C4—1721no—
661C2×C4—1721no—
662C2×C4—1721no—
663C2×C4—1721no—
664C2×C4—1721no—
665C2×C4#1306329912yes—
666C2×C4#1306335812yes—
667C2×C4C22×C22⋊D4311yescharacteristic
668C2×C4#41×D4311yescharacteristic
669C2×C4#41×D4311yescharacteristic
670C2×C4C2×#1062189811yescharacteristic
671C2×C4#1306337111yescharacteristic
672C2×C4#1306337111yescharacteristic
673C8—22no—
674C8—22no—
675C8—41no—
676C8—41no—
677C22—22no—
678C22—22no—
679C22—22no—
680C22—41no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—3441no—
685C22—3441no—
686C22—3441no—
687C22—3441no—
688C22—1722no—
689C22—1722no—
690C22—1722no—
691C22C2×#1306329911yescharacteristic
692C22#1458341111yescharacteristic
693C22#1458346811yescharacteristic
694C22C2×#1306335811yescharacteristic
695C22#1458369911yescharacteristic
696C22#1458369911yescharacteristic
697C22#1458369911yescharacteristic
698C4—22no—
699C4—22no—
700C4—41no—
701C4—41no—
702C4—41no—
703C4—3441no—
704C4—3441no—
705C4—3441no—
706C4—3441no—
707C4—3441no—
708C4—3441no—
709C4—1722no—
710C4#1458353711yescharacteristic
711C4#1458353711yescharacteristic
712C4#1458357311yescharacteristic
713C4#1458357311yescharacteristic
714C2—42no—
715C2—3442no—
716C2#1913797411yescharacteristic
717C2#1914420411yescharacteristic
718C2#1914422511yescharacteristic
719C2#1914470611yescharacteristic
720C2#1914475811yescharacteristic
721C2#1914560811yescharacteristic
722C2#1914563411yescharacteristic
subgroupG/H
centerC23C22×D172
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC2×C43×#432C2
socleC23×C43C22×D4
prime radicalC22×#10621898C22
hypercenterC2×#432D43
hypocenterC43#24511
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C22×C42 ◁ C2×#432

Complements

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

NH ≅ G/Ntype
2. #19142934C2semidirect
4. #19135989C2semidirect
5. #19135968C2semidirect
6. #19135918C2semidirect
7. #19135913C2semidirect
8. #19135476C2semidirect
9. #19135466C2semidirect
10. #19135292C2semidirect
11. #19135285C2semidirect
12. #19134905C2semidirect
13. #19134796C2semidirect
15. C2×C43×#432C2semidirect
354. C2×#432D43semidirect
422. C43#24511semidirect

Maximal subgroups

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

subgroupindex
C2×#145830632
#191429342
#191370852
#191359892
#191359682
#191359182
#191359132
#191354762
#191354662
#191352922
#191352852
#191349052
#191347962
#191345362
C2×C43×#4322
#2451143