Finite Group Databasebeta

← C2×#23767924 #34457515

Subgroups — C2×#23767924 #34457515

Order 20224.

2054 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
1#23767924C2116yesmaximal, direct product factor
2C2×#19098496C211yesmaximal, characteristic
3C2×#19098496C211yesmaximal, characteristic
4C2×#19098494C211yesmaximal, characteristic
5C2×#19098493C211yesmaximal, characteristic
6C2×#19098460C211yesmaximal, characteristic
7C2×#19098460C211yesmaximal, characteristic
8C2×#19098458C211yesmaximal, characteristic
9C2×#19098458C211yesmaximal, characteristic
10C2×#19098458C211yesmaximal, characteristic
11C2×#19098447C211yesmaximal, characteristic
12C2×#19098445C211yesmaximal, characteristic
13C2×#19098432C211yesmaximal, characteristic
14C2×C4×Dic79⋊C4C211yesmaximal, characteristic
15C2×#19098414C211yesmaximal, characteristic
16C2×#389×C79C211yesmaximal, characteristic
17C22×C4⋊Dic79C2211yescharacteristic
18C22×C4⋊Dic79C2211yescharacteristic
19C22×Dic79⋊C4C2211yescharacteristic
20C22×Dic79⋊C4C2211yescharacteristic
21C22×Dic79⋊C4C2211yescharacteristic
22C22×Dic79⋊C4C2211yescharacteristic
23C22×Dic79⋊C4C2211yescharacteristic
24C22×Dic79⋊C4C2211yescharacteristic
25C22×Dic79⋊C4C2211yescharacteristic
26C22×Dic79⋊C4C2211yescharacteristic
27C22×Dic79⋊C4C2211yescharacteristic
28C22×Dic79⋊C4C2211yescharacteristic
29C22×Dic79⋊C4C2211yescharacteristic
30C22×Dic79⋊C4C2211yescharacteristic
31C22×C4×Dic79C2211yescharacteristic
32C22×C4×Dic79C2211yescharacteristic
33C22×C4×Dic79C2211yescharacteristic
34C22×C4×Dic79C2211yescharacteristic
35#19098496C2218yes—
36#19098496C2218yes—
37#19098494C2218yes—
38#19098493C2218yes—
39#19098460C2218yes—
40#19098460C2218yes—
41#19098458C2218yes—
42#19098458C2218yes—
43#19098458C2218yes—
44#19098447C2218yes—
45#19098445C2218yes—
46#19098432C2218yes—
47C4×Dic79⋊C4C2218yes—
48#19098414C2218yes—
49C2×C79⋊#95C2211yescharacteristic
50C2×C79⋊#95C2211yescharacteristic
51C2×C79⋊#95C2211yescharacteristic
52C2×C79⋊#95C2211yescharacteristic
53C2×C79⋊#95C2211yescharacteristic
54C2×C79⋊#95C2211yescharacteristic
55C2×C79⋊#95C2211yescharacteristic
56C2×C79⋊#95C2211yescharacteristic
57C2×C79⋊#95C2211yescharacteristic
58C2×C79⋊#95C2211yescharacteristic
59C22×C4⋊C4×C79C2211yescharacteristic
60C22×C4⋊C4×C79C2211yescharacteristic
61C22×C4⋊C4×C79C2211yescharacteristic
62C22×C4⋊C4×C79C2211yescharacteristic
63C22×C42×C79C2211yescharacteristic
64#389×C79C2218yes—
65C2×#95×C79C2211yescharacteristic
66C2×#95×C79C2211yescharacteristic
67C23×Dic79C2311yescharacteristic
68C23×Dic79C2311yescharacteristic
69C23×Dic79C2311yescharacteristic
70C23×Dic79C2311yescharacteristic
71C23×Dic79C2311yescharacteristic
72C23×Dic79C2311yescharacteristic
73C23×Dic79C2311yescharacteristic
74C23×Dic79C2311yescharacteristic
75C2×C4⋊Dic79—42no—
76C2×C4⋊Dic79—42no—
77C2×C4⋊Dic79C2314yes—
78C2×C4⋊Dic79C2314yes—
79C2×Dic79⋊C4—24no—
80C2×Dic79⋊C4—24no—
81C2×Dic79⋊C4—24no—
82C2×Dic79⋊C4—24no—
83C2×Dic79⋊C4—24no—
84C2×Dic79⋊C4—42no—
85C2×Dic79⋊C4—42no—
86C2×Dic79⋊C4—42no—
87C2×Dic79⋊C4—42no—
88C2×Dic79⋊C4—42no—
89C2×Dic79⋊C4Q818yes—
90C2×Dic79⋊C4Q818yes—
91C2×Dic79⋊C4C2314yes—
92C2×Dic79⋊C4C2314yes—
93C2×Dic79⋊C4C2314yes—
94C2×Dic79⋊C4C2314yes—
95C2×Dic79⋊C4C2314yes—
96C2×Dic79⋊C4C2314yes—
97C2×Dic79⋊C4C2314yes—
98C2×Dic79⋊C4C2314yes—
99C2×Dic79⋊C4C2314yes—
100C2×Dic79⋊C4C2314yes—
101C2×Dic79⋊C4C2314yes—
102C2×Dic79⋊C4C2314yes—
103C2×C4×Dic79—24no—
104C2×C4×Dic79—24no—
105C2×C4×Dic79—24no—
106C2×C4×Dic79—42no—
107C2×C4×Dic79C2314yes—
108C2×C4×Dic79C2314yes—
109C2×C4×Dic79C2314yes—
110C2×C4×Dic79C2314yes—
111C79⋊#95C2314yes—
112C79⋊#95C2314yes—
113C79⋊#95C2314yes—
114C79⋊#95C2314yes—
115C79⋊#95C2314yes—
116C79⋊#95C2314yes—
117C79⋊#95C2314yes—
118C79⋊#95C2314yes—
119C79⋊#95C2314yes—
120C79⋊#95C2314yes—
121C23×C4×C79C2311yescharacteristic
122C23×C4×C79C2311yescharacteristic
123C23×C4×C79C2311yescharacteristic
124C23×C4×C79C2311yescharacteristic
125C23×C4×C79C2311yescharacteristic
126C23×C4×C79C2311yescharacteristic
127C23×C4×C79C2311yescharacteristic
128C2×C4⋊C4×C79—24no—
129C2×C4⋊C4×C79—42no—
130C2×C4⋊C4×C79—42no—
131C2×C4⋊C4×C79—42no—
132C2×C4⋊C4×C79C2314yes—
133C2×C4⋊C4×C79C2314yes—
134C2×C4⋊C4×C79C2314yes—
135C2×C4⋊C4×C79C2314yes—
136C2×C42×C79—42no—
137C2×C42×C79C2314yes—
138#95×C79C2314yes—
139#95×C79C2314yes—
140C22×Dic79—22no—
141C22×Dic79—22no—
142C22×Dic79—22no—
143C22×Dic79—22no—
144C22×Dic79—22no—
145C22×Dic79—22no—
146C22×Dic79—22no—
147C22×Dic79—22no—
148C22×Dic79—22no—
149C22×Dic79—22no—
150C22×Dic79—22no—
151C22×Dic79—22no—
152C22×Dic79—22no—
153C22×Dic79—22no—
154C22×Dic79—22no—
155C22×Dic79—22no—
156C22×Dic79—22no—
157C22×Dic79—22no—
158C22×Dic79C2×Q814yes—
159C22×Dic79C2×Q814yes—
160C22×Dic79C2×Q814yes—
161C22×Dic79C2×Q814yes—
162C22×Dic79#4114yes—
163C22×Dic79#4114yes—
164C22×Dic79C2412yes—
165C22×Dic79C2412yes—
166C22×Dic79C2412yes—
167C22×Dic79C2412yes—
168C22×Dic79C2412yes—
169C22×Dic79C2412yes—
170C22×Dic79C2412yes—
171C22×Dic79C2412yes—
172C4⋊Dic79—44no—
173C4⋊Dic79—44no—
174Dic79⋊C4—28no—
175Dic79⋊C4—28no—
176Dic79⋊C4—28no—
177Dic79⋊C4—28no—
178Dic79⋊C4—28no—
179Dic79⋊C4—44no—
180Dic79⋊C4—44no—
181Dic79⋊C4—44no—
182Dic79⋊C4—44no—
183Dic79⋊C4—44no—
184Dic79⋊C4C2×Q8116yes—
185Dic79⋊C4C2×Q8116yes—
186C4×Dic79—28no—
187C4×Dic79—28no—
188C4×Dic79—28no—
189C4×Dic79—44no—
190C24×C79C2411yescharacteristic
191C22×C4×C79—22no—
192C22×C4×C79—22no—
193C22×C4×C79—22no—
194C22×C4×C79—22no—
195C22×C4×C79—22no—
196C22×C4×C79—22no—
197C22×C4×C79—22no—
198C22×C4×C79—22no—
199C22×C4×C79—22no—
200C22×C4×C79—22no—
201C22×C4×C79—22no—
202C22×C4×C79—22no—
203C22×C4×C79—22no—
204C22×C4×C79—22no—
205C22×C4×C79—22no—
206C22×C4×C79—22no—
207C22×C4×C79—22no—
208C22×C4×C79—22no—
209C22×C4×C79C2×Q814yes—
210C22×C4×C79C2×Q814yes—
211C22×C4×C79#4114yes—
212C22×C4×C79C2412yes—
213C22×C4×C79C2412yes—
214C22×C4×C79C2412yes—
215C22×C4×C79C2412yes—
216C22×C4×C79C2412yes—
217C22×C4×C79C2412yes—
218C22×C4×C79C2412yes—
219C4⋊C4×C79—28no—
220C4⋊C4×C79—44no—
221C4⋊C4×C79—44no—
222C4⋊C4×C79—44no—
223C42×C79—44no—
224C23×C79C22×Q812yes—
225C23×C79C22×Q812yes—
226C23×C79C2×#4112yes—
227C23×C79C2×#4112yes—
228C23×C79C2×#4112yes—
229C23×C79H(5,𝔽2)12yes—
230C23×C79H(5,𝔽2)12yes—
231C23×C79C2511yescharacteristic
232C2×C4×C79—28no—
233C2×C4×C79—28no—
234C2×C4×C79—28no—
235C2×C4×C79—22no—
236C2×C4×C79—22no—
237C2×C4×C79—22no—
238C2×C4×C79—22no—
239C2×C4×C79—22no—
240C2×C4×C79—22no—
241C2×C4×C79—22no—
242C2×C4×C79—22no—
243C2×C4×C79—22no—
244C2×C4×C79—22no—
245C2×C4×C79—22no—
246C2×C4×C79—22no—
247C2×C4×C79—22no—
248C2×C4×C79—22no—
249C2×C4×C79—22no—
250C2×C4×C79—22no—
251C2×C4×C79—22no—
252C2×C4×C79—22no—
253C2×C4×C79—44no—
254C2×C4×C79—44no—
255C2×C4×C79—44no—
256C2×C4×C79—44no—
257C2×C4×C79C22×Q814yes—
258C2×C4×C79C22×Q814yes—
259C2×C4×C79C2×#4114yes—
260C2×Dic79—28no—
261C2×Dic79—28no—
262C2×Dic79—28no—
263C2×Dic79—22no—
264C2×Dic79—22no—
265C2×Dic79—22no—
266C2×Dic79—22no—
267C2×Dic79—22no—
268C2×Dic79—22no—
269C2×Dic79—22no—
270C2×Dic79—22no—
271C2×Dic79—22no—
272C2×Dic79—22no—
273C2×Dic79—22no—
274C2×Dic79—22no—
275C2×Dic79—22no—
276C2×Dic79—22no—
277C2×Dic79—22no—
278C2×Dic79—22no—
279C2×Dic79—22no—
280C2×Dic79—22no—
281C2×Dic79—44no—
282C2×Dic79—44no—
283C2×Dic79—44no—
284C2×Dic79—44no—
285C2×Dic79#125116yes—
286C2×Dic79C22×Q814yes—
287C2×Dic79C22×Q814yes—
288C2×Dic79C22×Q814yes—
289C2×Dic79C22×Q814yes—
290C2×Dic79C2×#4114yes—
291C2×Dic79C2×#4114yes—
292C22×C79C2×#12514yes—
293C22×C79#53314yes—
294C22×C79#54014yes—
295C22×C79#55314yes—
296C22×C79#55414yes—
297C22×C79#55414yes—
298C22×C79Q8214yes—
299C22×C79C23×Q811yescharacteristic
300C22×C79C23×Q811yescharacteristic
301C22×C79C22×#4111yescharacteristic
302C22×C79C22×#4111yescharacteristic
303C22×C79C22×#4111yescharacteristic
304C22×C79C2×H(5,𝔽2)11yescharacteristic
305C22×C79C2×H(5,𝔽2)11yescharacteristic
306C4×C79—24no—
307C4×C79—24no—
308C4×C79—24no—
309C4×C79—42no—
310C4×C79—42no—
311C4×C79—42no—
312C4×C79—42no—
313Dic79—24no—
314Dic79—24no—
315Dic79—24no—
316Dic79—42no—
317Dic79—42no—
318Dic79—42no—
319Dic79—42no—
320Dic79C2×#12518yes—
321C2×#2507—791nomaximal, Sylow
322C2×C79#250718yescomplemented
323C2×C79C22×#12511yescharacteristic
324C2×C79C2×#53311yescharacteristic
325C2×C79C2×#54011yescharacteristic
326C2×C79C2×#55311yescharacteristic
327C2×C79C2×#55411yescharacteristic
328C2×C79C2×#55411yescharacteristic
329C2×C79C2×Q8211yescharacteristic
330#2507—7916no—
331C2×#398—791no—
332C2×#398—791no—
333C2×#398—791no—
334C2×#398—791no—
335C2×#389—791no—
336C2×#389—791no—
337C2×#389—791no—
338C2×#389—791no—
339C2×#389—791no—
340C2×#389D7911yescharacteristic
341C2×#387—791no—
342C2×#387—791no—
343C2×#384—791no—
344C2×C4×C4⋊C4—791no—
345C2×C4×C4⋊C4—791no—
346C79C2×#250711yescharacteristic, complemented, Sylow
347C22×C4⋊C4—791no—
348C22×C4⋊C4—791no—
349C22×C4⋊C4—791no—
350C22×C4⋊C4—791no—
351C22×C4⋊C4—791no—
352C22×C4⋊C4—791no—
353C22×C4⋊C4—791no—
354C22×C4⋊C4—791no—
355C22×C4⋊C4—791no—
356C22×C4⋊C4—791no—
357C22×C4⋊C4—791no—
358C22×C4⋊C4—791no—
359C22×C4⋊C4—791no—
360C22×C4⋊C4—791no—
361C22×C4⋊C4C2×D7911yescharacteristic
362C22×C4⋊C4C2×D7911yescharacteristic
363C22×C4⋊C4C2×D7911yescharacteristic
364C22×C4⋊C4C2×D7911yescharacteristic
365C22×C42—791no—
366C22×C42—791no—
367C22×C42—791no—
368C22×C42—791no—
369C22×C42C2×D7911yescharacteristic
370#398—798no—
371#398—798no—
372#398—798no—
373#398—798no—
374#389—798no—
375#389—798no—
376#389—798no—
377#389—798no—
378#389—798no—
379#389C2×D7918yes—
380#387—798no—
381#387—798no—
382#384—798no—
383C4×C4⋊C4—798no—
384C4×C4⋊C4—798no—
385C2×#95—791no—
386C2×#95—791no—
387C2×#95—791no—
388C2×#95—791no—
389C2×#95—791no—
390C2×#95—791no—
391C2×#95—791no—
392C2×#95—791no—
393C2×#95—791no—
394C2×#95—791no—
395C2×#95C2×D7911yescharacteristic
396C2×#95C2×D7911yescharacteristic
397C23×C4—791no—
398C23×C4—791no—
399C23×C4—791no—
400C23×C4—791no—
401C23×C4—791no—
402C23×C4—791no—
403C23×C4—791no—
404C23×C4—791no—
405C23×C4C22×D7911yescharacteristic
406C23×C4C22×D7911yescharacteristic
407C23×C4C22×D7911yescharacteristic
408C23×C4C22×D7911yescharacteristic
409C23×C4C22×D7911yescharacteristic
410C23×C4C22×D7911yescharacteristic
411C23×C4C22×D7911yescharacteristic
412C2×C4⋊C4—24no—
413C2×C4⋊C4—42no—
414C2×C4⋊C4—42no—
415C2×C4⋊C4—42no—
416C2×C4⋊C4—3162no—
417C2×C4⋊C4—3162no—
418C2×C4⋊C4—3162no—
419C2×C4⋊C4—3162no—
420C2×C4⋊C4—3162no—
421C2×C4⋊C4—3162no—
422C2×C4⋊C4—3162no—
423C2×C4⋊C4—794no—
424C2×C4⋊C4—794no—
425C2×C4⋊C4—794no—
426C2×C4⋊C4—794no—
427C2×C4⋊C4—794no—
428C2×C4⋊C4—794no—
429C2×C4⋊C4—794no—
430C2×C4⋊C4—798no—
431C2×C4⋊C4—798no—
432C2×C4⋊C4—794no—
433C2×C4⋊C4—794no—
434C2×C4⋊C4—794no—
435C2×C4⋊C4—794no—
436C2×C4⋊C4—794no—
437C2×C4⋊C4—794no—
438C2×C4⋊C4—794no—
439C2×C4⋊C4—1584no—
440C2×C4⋊C4—1584no—
441C2×C4⋊C4—1584no—
442C2×C4⋊C4—1584no—
443C2×C4⋊C4—1584no—
444C2×C4⋊C4C22×D7914yes—
445C2×C4⋊C4C22×D7914yes—
446C2×C4⋊C4C22×D7914yes—
447C2×C4⋊C4C22×D7914yes—
448C2×C42—42no—
449C2×C42—3162no—
450C2×C42—794no—
451C2×C42—794no—
452C2×C42—794no—
453C2×C42—794no—
454C2×C42—1584no—
455C2×C42—1584no—
456C2×C42—1584no—
457C2×C42C22×D7914yes—
458#95—794no—
459#95—794no—
460#95—794no—
461#95—794no—
462#95—794no—
463#95—794no—
464#95—794no—
465#95—794no—
466#95—794no—
467#95—794no—
468#95C22×D7914yes—
469#95C22×D7914yes—
470C24C23×D7911yescharacteristic
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—794no—
490C22×C4—794no—
491C22×C4—794no—
492C22×C4—792no—
493C22×C4—794no—
494C22×C4—794no—
495C22×C4—794no—
496C22×C4—792no—
497C22×C4—792no—
498C22×C4—792no—
499C22×C4—792no—
500C22×C4—792no—
501C22×C4—792no—
502C22×C4—792no—
503C22×C4—1582no—
504C22×C4—1582no—
505C22×C4—1582no—
506C22×C4—1582no—
507C22×C4—1582no—
508C22×C4—1582no—
509C22×C4—1582no—
510C22×C4—1582no—
511C22×C4—1582no—
512C22×C4—1582no—
513C22×C4—1582no—
514C22×C4—1582no—
515C22×C4—1582no—
516C22×C4—1582no—
517C22×C4—1582no—
518C22×C4—1582no—
519C22×C4—1582no—
520C22×C4—1582no—
521C22×C4Q8×D7914yes—
522C22×C4Q8×D7914yes—
523C22×C4#1192962414yes—
524C22×C4C23×D7912yes—
525C22×C4C23×D7912yes—
526C22×C4C23×D7912yes—
527C22×C4C23×D7912yes—
528C22×C4C23×D7912yes—
529C22×C4C23×D7912yes—
530C22×C4C23×D7912yes—
531C4⋊C4—28no—
532C4⋊C4—44no—
533C4⋊C4—44no—
534C4⋊C4—44no—
535C4⋊C4—3164no—
536C4⋊C4—3164no—
537C4⋊C4—3164no—
538C4⋊C4—3164no—
539C4⋊C4—3164no—
540C4⋊C4—3164no—
541C4⋊C4—3164no—
542C4⋊C4—7916no—
543C4⋊C4—7916no—
544C4⋊C4—1588no—
545C4⋊C4—1588no—
546C4⋊C4—1588no—
547C4⋊C4—1588no—
548C4⋊C4—1588no—
549C42—44no—
550C42—3164no—
551C42—1588no—
552C42—1588no—
553C42—1588no—
554C23C2×Q8×D7912yes—
555C23C2×Q8×D7912yes—
556C23#41×D7912yes—
557C23#41×D7912yes—
558C23C2×#1192962412yes—
559C23#1457920612yes—
560C23#1457920612yes—
561C23C24×D7911yescharacteristic
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—28no—
566C2×C4—28no—
567C2×C4—28no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—44no—
584C2×C4—44no—
585C2×C4—44no—
586C2×C4—44no—
587C2×C4—3164no—
588C2×C4—3164no—
589C2×C4—3164no—
590C2×C4—3164no—
591C2×C4—7916no—
592C2×C4—794no—
593C2×C4—794no—
594C2×C4—794no—
595C2×C4—794no—
596C2×C4—794no—
597C2×C4—794no—
598C2×C4—1582no—
599C2×C4—1582no—
600C2×C4—1582no—
601C2×C4—1582no—
602C2×C4—1582no—
603C2×C4—1582no—
604C2×C4—1582no—
605C2×C4—1582no—
606C2×C4—1582no—
607C2×C4—1582no—
608C2×C4—1582no—
609C2×C4—1582no—
610C2×C4—1582no—
611C2×C4—1582no—
612C2×C4—1588no—
613C2×C4—1588no—
614C2×C4—1588no—
615C2×C4—1582no—
616C2×C4—1582no—
617C2×C4—1582no—
618C2×C4—1582no—
619C2×C4C2×Q8×D7914yes—
620C2×C4C2×Q8×D7914yes—
621C2×C4C2×#1192962414yes—
622C22#125×D7914yes—
623C22#1909911714yes—
624C22#1909916314yes—
625C22#1909926214yes—
626C22#1909926714yes—
627C22#1909926814yes—
628C22#1909929314yes—
629C22C22×Q8×D7911yescharacteristic
630C22C22×Q8×D7911yescharacteristic
631C22C2×#41×D7911yescharacteristic
632C22C2×#41×D7911yescharacteristic
633C22C22×#1192962411yescharacteristic
634C22C2×#1457920611yescharacteristic
635C22C2×#1457920611yescharacteristic
636C4—24no—
637C4—24no—
638C4—24no—
639C4—42no—
640C4—42no—
641C4—42no—
642C4—42no—
643C4—3162no—
644C4—3162no—
645C4—3162no—
646C4—3162no—
647C4—798no—
648C4—1584no—
649C4—1584no—
650C4—1584no—
651C2#2376792418yesdirect product factor
652C2C2×#125×D7911yescharacteristic
653C2C2×#1909911711yescharacteristic
654C2C2×#1909916311yescharacteristic
655C2C2×#1909926211yescharacteristic
656C2C2×#1909926711yescharacteristic
657C2C2×#1909926811yescharacteristic
658C2C2×#1909929311yescharacteristic
subgroupG/H
centerC24C23×D79
commutator, cosocleC23×C79C25
FrattiniC23C24×D79
FittingC2×#389×C79C2
socle, prime radicalC24×C79C24
hypercenterC2×#389D79
hypocenterC79C2×#2507
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C24 ◁ C2×#389

Complements

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

NH ≅ G/Ntype
1. #23767924C2direct (N × H)
322. C2×C79#2507semidirect
346. C79C2×#2507semidirect
651. C2#23767924direct (N × H)

Maximal subgroups

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

subgroupindex
#237679242
C2×#190984962
C2×#190984942
C2×#190984932
C2×#190984602
C2×#190984582
C2×#190984472
C2×#190984452
C2×#190984322
C2×C4×Dic79⋊C42
C2×#190984142
C2×#389×C792
C2×#250779