Finite Group Databasebeta

← C2×#11739108 #14233599

Subgroups — C2×#11739108 #14233599

Order 1792.

1810 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90376C211yesmaximal, characteristic, complemented
2C2×#90362C211yesmaximal, characteristic
3C2×C7×#488C211yesmaximal, characteristic
4C2×#89835C211yesmaximal, characteristic, complemented
5C2×#89826C211yesmaximal, characteristic
6#11739108C2116yesmaximal, direct product factor
7C2×#89565C211yesmaximal, characteristic, complemented
8C2×#89569C211yesmaximal, characteristic, complemented
9C2×#89566C211yesmaximal, characteristic, complemented
10C2×#89561C211yesmaximal, characteristic, complemented
11C2×#89539C211yesmaximal, characteristic
12C2×#89537C211yesmaximal, characteristic
13C2×#89538C211yesmaximal, characteristic
14C2×#89529C211yesmaximal, characteristic
15C2×C4×Dic28C211yesmaximal, characteristic, complemented
16C2×#89451C211yesmaximal, characteristic, complemented
17C2×C7×#125C2211yescharacteristic
18C2×C7×#124C2211yescharacteristic
19C2×Q8×Dic7C2211yescharacteristic
20C2×#6507C2211yescharacteristic
21C22×#1144C2211yescharacteristic
22C2×#6499C2211yescharacteristic
23C2×D4×Dic7C2211yescharacteristic
24C22×#1142C2211yescharacteristic
25C22×Dic28C2211yescharacteristic
26#90376—24no—
27#90376C2218yescomplemented
28#90362—24no—
29#90362C2218yes—
30C2×#6453C2211yescharacteristic
31C2×#6452—21no—
32C2×#6452—21no—
33C2×#6451—21no—
34C2×#6451C2211yescharacteristic
35C2×#6450—21no—
36C2×#6450C2211yescharacteristic
37C2×#6450C2211yescharacteristic
38C2×#6442—21no—
39C2×#6442—21no—
40C2×#6441—21no—
41C2×#6440—21no—
42C2×C4×Dic14C2211yescharacteristic
43C2×C4×Dic14C2211yescharacteristic
44C2×C4×Dic14C2211yescharacteristic
45C7×#488C2218yes—
46C2×C7×#103C2211yescharacteristic
47C2×C7×#103C2211yescharacteristic
48C2×C7×#102C2211yescharacteristic
49C2×C7×#102C2211yescharacteristic
50C2×C4×C7×C8C2211yescharacteristic
51C2×#6409C2211yescharacteristic
52C2×#6406C2211yescharacteristic
53C2×#6392C2211yescharacteristic
54C2×#6390C2211yescharacteristic
55C2×#6390C2211yescharacteristic
56C2×#6389C2211yescharacteristic
57C2×#6389C2211yescharacteristic
58C2×Dic7⋊C8C2211yescharacteristic
59C2×Dic7⋊C8C2211yescharacteristic
60#89835C2218yescomplemented
61#89826C2218yes—
62C2×#6384C2211yescharacteristic
63C2×#6384C2211yescharacteristic
64C2×#6382C2211yescharacteristic
65C2×#6381C2211yescharacteristic
66C2×C4⋊(C7⋊C8)C2211yescharacteristic
67#89569C2218yescomplemented
68#89566C2218yescomplemented
69#89565C2218yescomplemented
70#89561C2218yescomplemented
71#89539C2218yes—
72#89538C2218yes—
73#89537C2218yes—
74#89529C2218yes—
75C4×Dic28C2218yescomplemented
76#89451C2218yescomplemented
77C2×#3377—71nomaximal, Sylow
78C22×C7×Q8C2311yescharacteristic
79C22×C7×D4C2311yescharacteristic
80C23×Dic7—21no—
81C22×Dic14—21no—
82C22×Dic14D411yescharacteristic
83C22×Dic14C2311yescharacteristic
84C22×Dic14C2311yescharacteristic
85C22×C7×C8C2311yescharacteristic
86C22×C7×C8C2311yescharacteristic
87C7×#125—22no—
88C7×#125C2314yes—
89C7×#124—22no—
90C7×#124C2314yes—
91C2×C7×C4⋊C4—21no—
92C2×C7×C4⋊C4—21no—
93C2×C7×C4⋊C4C2311yescharacteristic
94C2×C7×C4⋊C4C2311yescharacteristic
95C2×C7×C22⋊C4—21no—
96C2×C7×C22⋊C4—21no—
97C2×C42×C7C2311yescharacteristic
98C2×C22⋊Dic7—21no—
99C2×C22⋊Dic7—21no—
100C2×C22⋊Dic7—21no—
101Q8×Dic7—22no—
102Q8×Dic7C2314yes—
103#6507—22no—
104#6507C2314yes—
105C2×#1144—24no—
106C2×#1144C2314yes—
107#6499—22no—
108#6499C2314yes—
109D4×Dic7—22no—
110D4×Dic7C2314yes—
111C2×#1142—24no—
112C2×#1142C2314yes—
113C2×C4⋊Dic7—21no—
114C2×C4⋊Dic7—21no—
115C2×C4⋊Dic7D411yescharacteristic
116C2×C4⋊Dic7C2311yescharacteristic
117C2×C4⋊Dic7C2311yescharacteristic
118C2×Dic7⋊C4—21no—
119C2×Dic7⋊C4—21no—
120C2×Dic7⋊C4—21no—
121C2×Dic7⋊C4—21no—
122C2×Dic7⋊C4—21no—
123C2×Dic7⋊C4—21no—
124C2×Dic7⋊C4—21no—
125C2×Dic7⋊C4—21no—
126C2×Dic7⋊C4D411yescharacteristic
127C2×Dic7⋊C4D411yescharacteristic
128C2×C4×Dic7—21no—
129C2×C4×Dic7—21no—
130C2×C4×Dic7—21no—
131C2×C4×Dic7—21no—
132C2×C4×Dic7—21no—
133C2×C4×Dic7C2311yescharacteristic
134C2×C4×Dic7C2311yescharacteristic
135C22×C7⋊C8C2311yescharacteristic
136C22×C7⋊C8C2311yescharacteristic
137C2×Dic28—24no—
138C2×Dic28C2314yes—
139#6453—22no—
140#6453C2314yes—
141#6452—28no—
142#6452—28no—
143#6451—28no—
144#6451—22no—
145#6451C2314yes—
146#6450—28no—
147#6450—22no—
148#6450—22no—
149#6450C2314yes—
150#6450C2314yes—
151#6442—28no—
152#6442—28no—
153#6441—28no—
154#6440—28no—
155C4×Dic14—22no—
156C4×Dic14—22no—
157C4×Dic14D414yes—
158C4×Dic14C2314yes—
159C4×Dic14C2314yes—
160C4×Dic14C2314yes—
161C7×#103C2314yes—
162C7×#103C2314yes—
163C7×#102C2314yes—
164C7×#102C2314yes—
165C4×C7×C8C2314yes—
166#6409C2314yes—
167#6406C2314yes—
168#6392C2314yes—
169#6390C2314yes—
170#6390C2314yes—
171#6389C2314yes—
172#6389C2314yes—
173Dic7⋊C8C2314yes—
174Dic7⋊C8C2314yes—
175#6384C2314yes—
176#6384C2314yes—
177#6382C2314yes—
178#6381C2314yes—
179C4⋊(C7⋊C8)C2314yes—
180C2×#557—71no—
181C2×#556—71no—
182#3377—716no—
183C2×#491—71no—
184C2×#489—71no—
185C2×#488D711yescharacteristic
186C2×#479—71no—
187C2×#477—71no—
188C2×#478—71no—
189C2×#464—71no—
190C2×#464—71no—
191C2×#462—71no—
192C2×#446—71no—
193C2×#441—71no—
194C2×#440—71no—
195C2×C4×Q16—71no—
196C24×C7—21no—
197C2×C7×Q8—21no—
198C2×C7×Q8—22no—
199C2×C7×Q8—22no—
200C2×C7×Q8C2412yes—
201C2×C7×D4—21no—
202C2×C7×D4—22no—
203C2×C7×D4—22no—
204C2×C7×D4C2412yes—
205C22×C4×C7—21no—
206C22×C4×C7—21no—
207C22×C4×C7—21no—
208C22×C4×C7C2×D411yescharacteristic
209C22×C4×C7C2×D411yescharacteristic
210C22×C4×C7C2411yescharacteristic
211C22×Dic7—21no—
212C22×Dic7—21no—
213C22×Dic7—21no—
214C22×Dic7—21no—
215C22×Dic7—24no—
216C22×Dic7—44no—
217C22×Dic7C2×D411yescharacteristic
218C22×Dic7C2×D411yescharacteristic
219C22×Dic7C2×D411yescharacteristic
220C22×Dic7C2×D411yescharacteristic
221C2×Dic14—21no—
222C2×Dic14—22no—
223C2×Dic14—22no—
224C2×Dic14—22no—
225C2×Dic14—21no—
226C2×Dic14—24no—
227C2×Dic14—42no—
228C2×Dic14—44no—
229C2×Dic14C2×D414yes—
230C2×Dic14#4114yes—
231C2×Dic14C2412yes—
232C2×Dic14C2412yes—
233C2×C7×C8—22no—
234C2×C7×C8—22no—
235C2×C7×C8C2412yes—
236C2×C7×C8C2412yes—
237C7×C4⋊C4—21no—
238C7×C4⋊C4—24no—
239C7×C4⋊C4—21no—
240C7×C4⋊C4—24no—
241C7×C4⋊C4C2412yes—
242C7×C4⋊C4C2412yes—
243C7×C22⋊C4—24no—
244C7×C22⋊C4—24no—
245C42×C7C2×D412yes—
246C42×C7C2412yes—
247C22⋊Dic7—24no—
248C22⋊Dic7—24no—
249C22⋊Dic7—24no—
250#1144—28no—
251#1142—28no—
252C4⋊Dic7—21no—
253C4⋊Dic7—21no—
254C4⋊Dic7—24no—
255C4⋊Dic7—24no—
256C4⋊Dic7C2×D414yes—
257C4⋊Dic7C2412yes—
258C4⋊Dic7C2412yes—
259Dic7⋊C4—24no—
260Dic7⋊C4—24no—
261Dic7⋊C4—24no—
262Dic7⋊C4—24no—
263Dic7⋊C4—24no—
264Dic7⋊C4—24no—
265Dic7⋊C4—24no—
266Dic7⋊C4—24no—
267Dic7⋊C4C2×D414yes—
268Dic7⋊C4C2×D414yes—
269C4×Dic7—24no—
270C4×Dic7—24no—
271C4×Dic7—24no—
272C4×Dic7—24no—
273C4×Dic7—24no—
274C4×Dic7C2×D412yes—
275C4×Dic7C2×D412yes—
276C4×Dic7C2412yes—
277C4×Dic7C2412yes—
278C2×C7⋊C8—22no—
279C2×C7⋊C8—22no—
280C2×C7⋊C8C2412yes—
281C2×C7⋊C8C2412yes—
282Dic28—28no—
283C22×Q16—71no—
284C22×Q16—71no—
285C22×SD16—71no—
286#557—78no—
287#557—144no—
288#556—78no—
289#556—144no—
290C2×C4⋊Q8—71no—
291C2×C4⋊Q8—71no—
292C2×C4⋊Q8—141no—
293C2×#126—141no—
294C2×#126—141no—
295C2×#125—71no—
296C2×#125—141no—
297C2×#125—141no—
298C2×#125C2×D711yescharacteristic
299C2×#124—71no—
300C2×#124C2×D711yescharacteristic
301C2×C22⋊Q8—141no—
302C2×C4×Q8—71no—
303C2×C4×Q8—71no—
304C2×C4×Q8—71no—
305C2×C4×Q8—71no—
306C2×C4×Q8—71no—
307C2×C4×Q8—71no—
308C2×C4×Q8—141no—
309C2×C4×D4—71no—
310C2×#117—141no—
311#491—78no—
312#489—78no—
313#488C2×D718yes—
314#479—78no—
315#478—78no—
316#477—78no—
317#464—78no—
318#464—78no—
319#462—78no—
320#446—78no—
321#441—78no—
322#440—78no—
323C4×Q16—78no—
324C2×#107—71no—
325C2×#107—71no—
326C2×#106—71no—
327C2×C4⋊C8—71no—
328C2×C4⋊C8—71no—
329C2×C4⋊C8—71no—
330C2×#103—71no—
331C2×#103—71no—
332C2×#103—71no—
333C2×#103—71no—
334C2×#103—71no—
335C2×#103C2×D711yescharacteristic
336C2×#103C2×D711yescharacteristic
337C2×#102—71no—
338C2×#102C2×D711yescharacteristic
339C2×#102C2×D711yescharacteristic
340C2×#97—71no—
341C2×#97—71no—
342C2×C4×C8C2×D711yescharacteristic
343C23×C7—22no—
344C23×C7—42no—
345C23×C7—42no—
346C23×C7—42no—
347C23×C7C22×D411yescharacteristic
348C7×Q8—22no—
349C7×Q8—22no—
350C7×Q8—42no—
351C7×D4—22no—
352C7×D4—22no—
353C7×D4—42no—
354C2×C4×C7—22no—
355C2×C4×C7—22no—
356C2×C4×C7—22no—
357C2×C4×C7—22no—
358C2×C4×C7—22no—
359C2×C4×C7—42no—
360C2×C4×C7—42no—
361C2×C4×C7—42no—
362C2×C4×C7C22×D412yes—
363C2×C4×C7C22×D412yes—
364C2×C4×C7C22×D411yescharacteristic
365C2×C4×C7C2×#4112yes—
366C2×C4×C72−1+412yes—
367C2×C4×C7C2511yescharacteristic
368C2×Dic7—24no—
369C2×Dic7—22no—
370C2×Dic7—22no—
371C2×Dic7—22no—
372C2×Dic7—22no—
373C2×Dic7—22no—
374C2×Dic7—22no—
375C2×Dic7—22no—
376C2×Dic7—22no—
377C2×Dic7—48no—
378C2×Dic7—42no—
379C2×Dic7—42no—
380C2×Dic7—42no—
381C2×Dic7C22×D412yes—
382C2×Dic7C22×D412yes—
383C2×Dic7C22×D412yes—
384C2×Dic7C22×D412yes—
385Dic14—24no—
386Dic14—22no—
387Dic14—22no—
388Dic14—22no—
389Dic14—44no—
390Dic14—48no—
391Dic14—42no—
392Dic14C2×#4114yes—
393C7×C8—22no—
394C7×C8—22no—
395C7⋊C8—22no—
396C7⋊C8—22no—
397C22×Q8—71no—
398C22×Q8—71no—
399C22×Q8—71no—
400C22×Q8—141no—
401C22×Q8C22×D711yescharacteristic
402C22×D4C22×D711yescharacteristic
403C23×C4—141no—
404C2×Q16—74no—
405C2×Q16—74no—
406C2×Q16—144no—
407C2×Q16—144no—
408C2×SD16—74no—
409C2×SD16—144no—
410C22×C8—71no—
411C22×C8—71no—
412C22×C8C22×D711yescharacteristic
413C22×C8C22×D711yescharacteristic
414C4⋊Q8—74no—
415C4⋊Q8—74no—
416C4⋊Q8—142no—
417C4⋊Q8—142no—
418C4⋊Q8—148no—
419#126—148no—
420#126—148no—
421#125—22no—
422#125—74no—
423#125—142no—
424#125—148no—
425#125—148no—
426#125C22×D714yes—
427#124—22no—
428#124—74no—
429#124—142no—
430#124C22×D714yes—
431C22⋊Q8—148no—
432C4×Q8—74no—
433C4×Q8—74no—
434C4×Q8—74no—
435C4×Q8—74no—
436C4×Q8—74no—
437C4×Q8—74no—
438C4×Q8—74no—
439C4×Q8—142no—
440C4×Q8—142no—
441C4×Q8—142no—
442C4×Q8—148no—
443C4×Q8—142no—
444C4×Q8—142no—
445C4×D4—74no—
446C4×D4—142no—
447#117—148no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—71no—
451C2×C4⋊C4—71no—
452C2×C4⋊C4—71no—
453C2×C4⋊C4—71no—
454C2×C4⋊C4—71no—
455C2×C4⋊C4—141no—
456C2×C4⋊C4—141no—
457C2×C4⋊C4—141no—
458C2×C4⋊C4—141no—
459C2×C4⋊C4—141no—
460C2×C4⋊C4—141no—
461C2×C4⋊C4—141no—
462C2×C4⋊C4—141no—
463C2×C4⋊C4—141no—
464C2×C4⋊C4—141no—
465C2×C4⋊C4C22×D711yescharacteristic
466C2×C4⋊C4C22×D711yescharacteristic
467C2×C22⋊C4—21no—
468C2×C22⋊C4—21no—
469C2×C22⋊C4—141no—
470C2×C22⋊C4—141no—
471C2×C22⋊C4—141no—
472C2×C42—71no—
473C2×C42—71no—
474C2×C42—141no—
475C2×C42—141no—
476C2×C42—141no—
477C2×C42—141no—
478C2×C42—141no—
479C2×C42C22×D711yescharacteristic
480#107—74no—
481#107—74no—
482#106—74no—
483C4⋊C8—74no—
484C4⋊C8—74no—
485C4⋊C8—74no—
486#103—74no—
487#103—74no—
488#103—74no—
489#103—74no—
490#103—74no—
491#103C22×D714yes—
492#103C22×D714yes—
493#102—74no—
494#102C22×D714yes—
495#102C22×D714yes—
496#97—74no—
497#97—74no—
498C4×C8C22×D714yes—
499C22×C7—42no—
500C22×C7—42no—
501C22×C7—42no—
502C22×C7—84no—
503C22×C7#54812yes—
504C22×C7#57512yes—
505C22×C7#57812yes—
506C22×C7C23×D411yescharacteristic
507C4×C7—22no—
508C4×C7—22no—
509C4×C7—42no—
510C4×C7—42no—
511C4×C7—42no—
512C4×C7#54812yes—
513C4×C7C22×#4111yescharacteristic
514C4×C7C2×2−1+411yescharacteristic
515Dic7—24no—
516Dic7—22no—
517Dic7—22no—
518Dic7—22no—
519Dic7—22no—
520Dic7—42no—
521Dic7—42no—
522Dic7—42no—
523C24—21no—
524C2×Q8—21no—
525C2×Q8—22no—
526C2×Q8—22no—
527C2×Q8—74no—
528C2×Q8—74no—
529C2×Q8—72no—
530C2×Q8—72no—
531C2×Q8—144no—
532C2×Q8—141no—
533C2×Q8—141no—
534C2×Q8—142no—
535C2×Q8—142no—
536C2×Q8—142no—
537C2×Q8—282no—
538C2×Q8—284no—
539C2×Q8C23×D712yes—
540C2×D4—21no—
541C2×D4—22no—
542C2×D4—22no—
543C2×D4C23×D712yes—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—71no—
548C22×C4—71no—
549C22×C4—71no—
550C22×C4—71no—
551C22×C4—144no—
552C22×C4—141no—
553C22×C4—141no—
554C22×C4—141no—
555C22×C4—141no—
556C22×C4—284no—
557C22×C4D4×D711yescharacteristic
558C22×C4D4×D711yescharacteristic
559C22×C4C23×D711yescharacteristic
560Q16—148no—
561Q16—148no—
562SD16—148no—
563C2×C8—22no—
564C2×C8—22no—
565C2×C8—72no—
566C2×C8—72no—
567C2×C8—142no—
568C2×C8—142no—
569C2×C8C23×D712yes—
570C2×C8C23×D712yes—
571C4⋊C4—24no—
572C4⋊C4—24no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—74no—
576C4⋊C4—74no—
577C4⋊C4—74no—
578C4⋊C4—72no—
579C4⋊C4—72no—
580C4⋊C4—144no—
581C4⋊C4—144no—
582C4⋊C4—144no—
583C4⋊C4—144no—
584C4⋊C4—144no—
585C4⋊C4—144no—
586C4⋊C4—144no—
587C4⋊C4—144no—
588C4⋊C4—144no—
589C4⋊C4—144no—
590C4⋊C4—141no—
591C4⋊C4—141no—
592C4⋊C4C23×D712yes—
593C4⋊C4C23×D712yes—
594C22⋊C4—24no—
595C22⋊C4—24no—
596C22⋊C4—144no—
597C22⋊C4—144no—
598C22⋊C4—144no—
599C42—72no—
600C42—72no—
601C42—72no—
602C42—72no—
603C42—144no—
604C42—144no—
605C42—144no—
606C42—144no—
607C42—144no—
608C42D4×D712yes—
609C42C23×D712yes—
610C2×C7—82no—
611C2×C7#337714yescomplemented
612C2×C7C2×#54811yescharacteristic
613C2×C7C2×#57511yescharacteristic
614C2×C7C2×#57811yescharacteristic
615C23—22no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23C2×D4×D711yescharacteristic
620Q8—22no—
621Q8—22no—
622Q8—42no—
623Q8—74no—
624Q8—144no—
625Q8—142no—
626Q8—142no—
627Q8—142no—
628Q8—284no—
629Q8—288no—
630Q8—282no—
631D4—22no—
632D4—22no—
633D4—42no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—72no—
643C2×C4—72no—
644C2×C4—72no—
645C2×C4—72no—
646C2×C4—144no—
647C2×C4—142no—
648C2×C4—142no—
649C2×C4—142no—
650C2×C4—142no—
651C2×C4—142no—
652C2×C4—142no—
653C2×C4—142no—
654C2×C4—142no—
655C2×C4—288no—
656C2×C4—282no—
657C2×C4—282no—
658C2×C4—282no—
659C2×C4C2×D4×D712yes—
660C2×C4C2×D4×D712yes—
661C2×C4C2×D4×D711yescharacteristic
662C2×C4D7×#4112yes—
663C2×C4#655412yes—
664C2×C4C24×D711yescharacteristic
665C8—22no—
666C8—22no—
667C8—142no—
668C8—142no—
669C7C2×#337711yescharacteristic, complemented, Sylow
670C22—42no—
671C22—42no—
672C22—42no—
673C22—84no—
674C22#9036812yes—
675C22#9045912yes—
676C22#9046212yes—
677C22C22×D4×D711yescharacteristic
678C4—22no—
679C4—22no—
680C4—42no—
681C4—42no—
682C4—42no—
683C4—144no—
684C4—142no—
685C4—142no—
686C4—142no—
687C4—142no—
688C4—282no—
689C4—282no—
690C4—282no—
691C4#9036812yes—
692C4C2×D7×#4111yescharacteristic
693C4C2×#655411yescharacteristic
694C2—82no—
695C2#1173910814yesdirect product factor
696C2C2×#9036811yescharacteristic
697C2C2×#9045911yescharacteristic
698C2C2×#9046211yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C7×#488C2
socleC23×C7C22×D4
prime radicalC22×C7×D4C23
hypercenterC2×#488D7
hypocenterC7C2×#3377
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#488

Complements

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

NH ≅ G/Ntype
1. C2×#90376C2semidirect
4. C2×#89835C2semidirect
6. #11739108C2direct (N × H)
7. C2×#89565C2semidirect
8. C2×#89569C2semidirect
9. C2×#89566C2semidirect
10. C2×#89561C2semidirect
15. C2×C4×Dic28C2semidirect
16. C2×#89451C2semidirect
27. #90376C22semidirect
60. #89835C22semidirect
67. #89569C22semidirect
68. #89566C22semidirect
69. #89565C22semidirect
70. #89561C22semidirect
75. C4×Dic28C22semidirect
76. #89451C22semidirect
611. C2×C7#3377semidirect
669. C7C2×#3377semidirect
695. C2#11739108direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#903762
C2×#903622
C2×C7×#4882
C2×#898352
C2×#898262
#117391082
C2×#895652
C2×#895692
C2×#895662
C2×#895612
C2×#895392
C2×#895372
C2×#895382
C2×#895292
C2×C4×Dic282
C2×#894512
C2×#33777