Finite Group Databasebeta

← #17919882

Subgroups — #17919882

Order 4352.

2290 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14543101C211yesmaximal, characteristic, complemented
2#14542414C211yesmaximal, characteristic, complemented
3#14541023C211yesmaximal, characteristic, complemented
4#14540986C211yesmaximal, characteristic, complemented
5#14540939C211yesmaximal, characteristic, complemented
6#14540923C211yesmaximal, characteristic, complemented
7#14540801C211yesmaximal, characteristic, complemented
8#14540617C211yesmaximal, characteristic, complemented
9#14540591C211yesmaximal, characteristic, complemented
10#14540465C211yesmaximal, characteristic, complemented
11#14540454C211yesmaximal, characteristic, complemented
12#14540401C211yesmaximal, characteristic, complemented
13#14540390C211yesmaximal, characteristic, complemented
14#14540328C211yesmaximal, characteristic, complemented
15#14540269C211yesmaximal, characteristic, complemented
16#14540266C211yesmaximal, characteristic, complemented
17#14540261C211yesmaximal, characteristic, complemented
18#14539879C211yesmaximal, characteristic, complemented
19#14539831C211yesmaximal, characteristic, complemented
20#14539646C211yesmaximal, characteristic, complemented
21#14539641C211yesmaximal, characteristic, complemented
22#14539603C211yesmaximal, characteristic, complemented
23#14539573C211yesmaximal, characteristic, complemented
24#14539026C211yesmaximal, characteristic, complemented
25#14538973C211yesmaximal, characteristic, complemented
26#14538090C211yesmaximal, characteristic, complemented
27#14538049C211yesmaximal, characteristic, complemented
28#14538008C211yesmaximal, characteristic, complemented
29C2×#11762944C211yesmaximal, characteristic, complemented
30#14537833C211yesmaximal, characteristic, complemented
31C17×#3306C211yesmaximal, characteristic, complemented
32C2×#10587696C2211yescharacteristic, complemented
33C22×D4×D17C2211yescharacteristic, complemented
34C2×#10587594C2211yescharacteristic, complemented
35C2×#10587600C2211yescharacteristic, complemented
36C2×#10587597C2211yescharacteristic, complemented
37C2×#10587597C2211yescharacteristic, complemented
38C2×#10587636C2211yescharacteristic, complemented
39C22×D136C2211yescharacteristic, complemented
40C22×#63228C2211yescharacteristic, complemented
41C2×D8×D17C2211yescharacteristic, complemented
42#11763555—21no—
43#11763549—21no—
44#11763525C2211yescharacteristic, complemented
45#11763507C2211yescharacteristic, complemented
46#11763494C2211yescharacteristic, complemented
47#11763482—21no—
48#11763477C2211yescharacteristic, complemented
49#11763455C2211yescharacteristic, complemented
50#11763454C2211yescharacteristic, complemented
51#11763452C2211yescharacteristic, complemented
52#11763451—21no—
53#11763450C2211yescharacteristic
54#11763449—21no—
55#11763447—21no—
56#11763447C2211yescharacteristic, complemented
57D4×D68C2211yescharacteristic, complemented
58D4×D68C2211yescharacteristic, complemented
59#11763443—21no—
60#11763443C2211yescharacteristic, complemented
61#11763443C2211yescharacteristic, complemented
62D4×C22⋊D17C2211yescharacteristic
63#11763441—21no—
64#11763433C2211yescharacteristic, complemented
65#11763411—21no—
66#11763410C2211yescharacteristic, complemented
67#11763399—21no—
68#11763390C2211yescharacteristic, complemented
69#11763377C2211yescharacteristic, complemented
70#11763375C2211yescharacteristic, complemented
71#11763375C2211yescharacteristic, complemented
72#11763373—21no—
73#11763370—21no—
74#11763370—21no—
75#11763367—21no—
76#11763322C2211yescharacteristic, complemented
77#11763319C2211yescharacteristic, complemented
78#11763318C2211yescharacteristic
79C2×#10587581C2211yescharacteristic, complemented
80C2×#10587568—21no—
81#120×D17—21no—
82#11763281C2211yescharacteristic, complemented
83#11763198C2211yescharacteristic, complemented
84#11763195C2211yescharacteristic, complemented
85#11763191C2211yescharacteristic, complemented
86#11763184C2211yescharacteristic, complemented
87#11763172C2211yescharacteristic, complemented
88#11763165C2211yescharacteristic, complemented
89#11763157C2211yescharacteristic, complemented
90#11763153C2211yescharacteristic, complemented
91#11763148C2211yescharacteristic, complemented
92#11763135C2211yescharacteristic, complemented
93#11763135C2211yescharacteristic, complemented
94#11763135C2211yescharacteristic, complemented
95#11763135C2211yescharacteristic, complemented
96#11763132C2211yescharacteristic, complemented
97#11763132C2211yescharacteristic, complemented
98#11763122C2211yescharacteristic, complemented
99#11763122C2211yescharacteristic, complemented
100#11763111C2211yescharacteristic, complemented
101#11763108C2211yescharacteristic, complemented
102#11763086C2211yescharacteristic, complemented
103#11763063C2211yescharacteristic, complemented
104#11763063C2211yescharacteristic, complemented
105#11763063C2211yescharacteristic, complemented
106#11763062C2211yescharacteristic, complemented
107#11763058C2211yescharacteristic, complemented
108#11763058C2211yescharacteristic, complemented
109#11763054C2211yescharacteristic, complemented
110#11763048C2211yescharacteristic, complemented
111#11763044C2211yescharacteristic, complemented
112#11763043C2211yescharacteristic, complemented
113#11763043C2211yescharacteristic, complemented
114#11763043C2211yescharacteristic, complemented
115#11763039C2211yescharacteristic, complemented
116#11763038C2211yescharacteristic, complemented
117#11763034C2211yescharacteristic, complemented
118#11763027C2211yescharacteristic, complemented
119#11763025C2211yescharacteristic, complemented
120#11763024C2211yescharacteristic, complemented
121#11763021C2211yescharacteristic, complemented
122#11763008C2211yescharacteristic, complemented
123#11763005C2211yescharacteristic, complemented
124#11763004C2211yescharacteristic, complemented
125#11763003C2211yescharacteristic, complemented
126#11763003C2211yescharacteristic, complemented
127#11763002C2211yescharacteristic, complemented
128#11762974C2211yescharacteristic, complemented
129#11762974C2211yescharacteristic, complemented
130#11762968C2211yescharacteristic, complemented
131#11762962C2211yescharacteristic, complemented
132#11762961C2211yescharacteristic, complemented
133#11762961C2211yescharacteristic, complemented
134#11762961C2211yescharacteristic, complemented
135#11762960C2211yescharacteristic, complemented
136#11762959C2211yescharacteristic, complemented
137#11762957C2211yescharacteristic, complemented
138#11762957C2211yescharacteristic, complemented
139#11762957C2211yescharacteristic, complemented
140#11762956C2211yescharacteristic, complemented
141#11762955C2211yescharacteristic, complemented
142#11762954C2211yescharacteristic, complemented
143#11762953C2211yescharacteristic, complemented
144#11762952C2211yescharacteristic, complemented
145#11762945C2211yescharacteristic, complemented
146#11762945C2211yescharacteristic, complemented
147#11762944C2211yescharacteristic
148#11762944C2211yescharacteristic, complemented
149#11762944C2211yescharacteristic, complemented
150#11762944C2211yescharacteristic, complemented
151#11762944C2211yescharacteristic, complemented
152#11762944C2211yescharacteristic, complemented
153#11762944C2211yescharacteristic, complemented
154#11762944C2211yescharacteristic, complemented
155#11762944C2211yescharacteristic, complemented
156#11762944C2211yescharacteristic, complemented
157#11762942C2211yescharacteristic, complemented
158#11762942C2211yescharacteristic, complemented
159#11762941C2211yescharacteristic, complemented
160#11762941C2211yescharacteristic, complemented
161#11762941C2211yescharacteristic, complemented
162#11762922C2211yescharacteristic, complemented
163#11762920C2211yescharacteristic, complemented
164#11762906C2211yescharacteristic, complemented
165#11762896C2211yescharacteristic, complemented
166C4×#63228C2211yescharacteristic, complemented
167C4×#63228C2211yescharacteristic, complemented
168#11762889C2211yescharacteristic, complemented
169#11762886C2211yescharacteristic, complemented
170#11762885C2211yescharacteristic, complemented
171#11762882C2211yescharacteristic, complemented
172#11762880C2211yescharacteristic, complemented
173#11762877C2211yescharacteristic, complemented
174D4×#3622C2211yescharacteristic, complemented
175#11762872C2211yescharacteristic, complemented
176#11762871C2211yescharacteristic, complemented
177#11762869C2211yescharacteristic, complemented
178#11762812C2211yescharacteristic, complemented
179#11762812C2211yescharacteristic, complemented
180#11762812C2211yescharacteristic, complemented
181#11762804C2211yescharacteristic, complemented
182C2×#10587480C2211yescharacteristic, complemented
183C2×#10587480C2211yescharacteristic, complemented
184#11762777C2211yescharacteristic, complemented
185#11762774C2211yescharacteristic, complemented
186#11762771C2211yescharacteristic, complemented
187C2×#10587491C2211yescharacteristic, complemented
188C17×#547C2211yescharacteristic, complemented
189C17×#546C2211yescharacteristic, complemented
190C17×#489C2211yescharacteristic, complemented
191C17×#483C2211yescharacteristic, complemented
192C17×#481C2211yescharacteristic, complemented
193C17×#476C2211yescharacteristic, complemented
194C17×#469C2211yescharacteristic, complemented
195C17×#465C2211yescharacteristic, complemented
196C17×#463C2211yescharacteristic, complemented
197C17×#449C2211yescharacteristic, complemented
198C17×#447C2211yescharacteristic, complemented
199C17×#442C2211yescharacteristic, complemented
200C17×#435C2211yescharacteristic, complemented
201C17×#417C2211yescharacteristic, complemented
202C2×C17×#102C2211yescharacteristic, complemented
203C24×D17—21no—
204C2×#41×C17—21no—
205C2×#41×C17C2311yescharacteristic
206C22×D4×C17C2311yescharacteristic
207C22×C22⋊D17—21no—
208C22×C22⋊D17—21no—
209#10587696—42no—
210#10587696—42no—
211C2×#63256C2311yescharacteristic
212C2×#63256C2311yescharacteristic
213C2×#63254C2311yescharacteristic
214C2×D4×D17—21no—
215C2×D4×D17—21no—
216C2×D4×D17—21no—
217C2×D4×D17—21no—
218C2×D4×D17—21no—
219C2×D4×D17—21no—
220C2×D4×D17—21no—
221C2×D4×D17—42no—
222C2×D4×D17—42no—
223C2×D4×D17C2311yescharacteristic
224C2×D4×D17C2311yescharacteristic
225C2×D4×D17C2311yescharacteristic
226C2×D4×D17C2311yescharacteristic
227C2×D4×D17C2311yescharacteristic
228C2×D4×D17C2311yescharacteristic, complemented
229C2×#63252—21no—
230C2×#63252C2311yescharacteristic
231C2×#63252C2311yescharacteristic, complemented
232C22×D68—21no—
233C22×D68—21no—
234C22×D68—21no—
235C22×D68C2311yescharacteristic
236C22×D68C2311yescharacteristic
237C22×D68C2311yescharacteristic
238C22×C4×D17C2311yescharacteristic
239C2×SD16×C17C2311yescharacteristic, complemented
240C2×D8×C17C2311yescharacteristic
241C2×D8×C17C2311yescharacteristic
242C2×M16×C17C2311yescharacteristic, complemented
243C22×C8×C17C2311yescharacteristic
244C17×C4⋊Q8C2311yescharacteristic, complemented
245C17×#124C2311yescharacteristic
246C17×#123—21no—
247C17×#123—21no—
248C17×#123—21no—
249C17×C22⋊Q8—21no—
250C17×C22⋊Q8C2311yescharacteristic
251C17×#121—21no—
252C17×#121C2311yescharacteristic
253C17×#121C2311yescharacteristic
254C17×#121C2311yescharacteristic, complemented
255C17×#120—21no—
256C4×D4×C17C2311yescharacteristic
257C4×D4×C17C2311yescharacteristic
258C4×D4×C17C2311yescharacteristic, complemented
259C2×C4⋊C4×C17C2311yescharacteristic
260C2×C4⋊C4×C17C2311yescharacteristic, complemented
261C2×C22⋊C4×C17—21no—
262#10587639—21no—
263#10587636—42no—
264#10587633—21no—
265#10587633—21no—
266#10587633—21no—
267#10587633C2311yescharacteristic
268#10587632—21no—
269#10587632C2311yescharacteristic
270C2×#63231C2311yescharacteristic, complemented
271C2×#63230C2311yescharacteristic, complemented
272C2×#63230C2311yescharacteristic, complemented
273#10587626—21no—
274#10587626—21no—
275#10587626—21no—
276#10587626C2311yescharacteristic
277#10587626C2311yescharacteristic, complemented
278#10587625—21no—
279#10587625—21no—
280#10587625—21no—
281#10587625D411yescharacteristic
282#10587624C2311yescharacteristic
283#10587624C2311yescharacteristic
284#10587623—21no—
285#10587623—21no—
286#10587623—21no—
287#10587623—21no—
288#10587623—21no—
289#10587623—21no—
290#10587623—21no—
291#10587623—21no—
292#10587623D411yescharacteristic
293D4×Dic17—21no—
294D4×Dic17C2311yescharacteristic
295C2×#63229C2311yescharacteristic
296C2×#63229C2311yescharacteristic
297C2×#63228—42no—
298C2×#63228C2311yescharacteristic
299C2×#63228C2311yescharacteristic
300C2×#63228C2311yescharacteristic
301C2×#63228C2311yescharacteristic
302C2×#63228C2311yescharacteristic
303C2×#63228C2311yescharacteristic
304C2×#63228C2311yescharacteristic, complemented
305#10587616—21no—
306#10587616—21no—
307#10587616—21no—
308#10587616—21no—
309#10587616—21no—
310#10587616—21no—
311#10587616C2311yescharacteristic
312#10587616C2311yescharacteristic
313#10587616C2311yescharacteristic, complemented
314#10587615—21no—
315#10587615—21no—
316#10587615—21no—
317C4×C22⋊D17—21no—
318C4×C22⋊D17—21no—
319C4×C22⋊D17C2311yescharacteristic
320C4×C22⋊D17C2311yescharacteristic
321C2×#63227—21no—
322C2×#63227—21no—
323C2×#63227—21no—
324C2×#63227—21no—
325#10587612—21no—
326#10587610C2311yescharacteristic
327C22×#3622C2311yescharacteristic
328C22×#3622C2311yescharacteristic, complemented
329#10587600—42no—
330#10587597—42no—
331#10587597—42no—
332D8×D17—42no—
333#10587594—42no—
334C2×D136—42no—
335C2×D136C2311yescharacteristic
336C2×D136C2311yescharacteristic
337C2×D136C2311yescharacteristic
338C2×D136C2311yescharacteristic
339C2×D136C2311yescharacteristic, complemented
340C2×D136C2311yescharacteristic, complemented
341C2×#63219C2311yescharacteristic
342C2×#63219C2311yescharacteristic
343C2×#63219C2311yescharacteristic, complemented
344C2×#63218C2311yescharacteristic
345C2×#63218C2311yescharacteristic
346C2×#63218C2311yescharacteristic, complemented
347C2×C8×D17C2311yescharacteristic, complemented
348#10587584—21no—
349#10587584—21no—
350#10587584—21no—
351#10587583—21no—
352#10587583C2311yescharacteristic
353#10587583C2311yescharacteristic, complemented
354#10587582D411yescharacteristic
355#10587581—21no—
356#10587581—21no—
357#10587581—21no—
358#10587581—21no—
359#10587581—21no—
360#10587581—21no—
361#10587581C2311yescharacteristic
362#10587581C2311yescharacteristic
363#10587581C2311yescharacteristic
364#10587581C2311yescharacteristic
365#10587581C2311yescharacteristic
366#10587581C2311yescharacteristic
367#10587581C2311yescharacteristic, complemented
368#10587580—21no—
369#10587580—21no—
370#10587580—21no—
371#10587580—21no—
372#10587580—21no—
373#10587580D411yescharacteristic
374#10587579—21no—
375#10587579C2311yescharacteristic
376#10587579C2311yescharacteristic, complemented
377#10587578—21no—
378#10587578C2311yescharacteristic
379#10587578C2311yescharacteristic
380#10587578C2311yescharacteristic, complemented
381#10587576C2311yescharacteristic, complemented
382#10587575—21no—
383#10587573C2311yescharacteristic, complemented
384#10587572—21no—
385#10587571—21no—
386#10587571—21no—
387#10587570—21no—
388#10587570—21no—
389#10587570—21no—
390#10587570—21no—
391#10587570—21no—
392#10587570—21no—
393#10587570—21no—
394#10587570—21no—
395#10587570D411yescharacteristic
396#10587569—21no—
397#10587569—21no—
398#10587569—21no—
399#10587569D411yescharacteristic
400#10587568—21no—
401#10587568—21no—
402#10587568—21no—
403#10587568—21no—
404#10587568—21no—
405#10587568—21no—
406#10587568—21no—
407#10587568—21no—
408#10587568—21no—
409#10587568—21no—
410#10587568—21no—
411#10587568—21no—
412#10587568—21no—
413#10587568—21no—
414#10587568D411yescharacteristic
415#10587567—21no—
416#10587567—21no—
417#10587567—21no—
418#10587567—21no—
419C22⋊C4×D17—21no—
420C22⋊C4×D17—21no—
421C22⋊C4×D17—21no—
422C22⋊C4×D17—21no—
423#10587564D411yescharacteristic
424#10587561C2311yescharacteristic, complemented
425#10587560C2311yescharacteristic
426C4×D68C2311yescharacteristic
427C4×D68C2311yescharacteristic
428C4×D68C2311yescharacteristic, complemented
429#10587558C2311yescharacteristic
430C17×#106C2311yescharacteristic, complemented
431C17×#106C2311yescharacteristic, complemented
432C17×#106C2311yescharacteristic, complemented
433C17×C4⋊C8C2311yescharacteristic, complemented
434C17×#103C2311yescharacteristic, complemented
435C17×#103C2311yescharacteristic, complemented
436C17×#103C2311yescharacteristic, complemented
437C17×#102C2311yescharacteristic
438C17×#102C2311yescharacteristic
439C17×#102C2311yescharacteristic
440C17×#102C2311yescharacteristic
441C17×#102C2311yescharacteristic
442C17×#102C2311yescharacteristic
443C17×#102C2311yescharacteristic, complemented
444C17×C22⋊C8C2311yescharacteristic
445C17×C22⋊C8C2311yescharacteristic, complemented
446C17×#97C2311yescharacteristic, complemented
447#10587506C2311yescharacteristic, complemented
448#10587503C2311yescharacteristic
449#10587503C2311yescharacteristic
450#10587503C2311yescharacteristic, complemented
451C22⋊#3622C2311yescharacteristic
452C22⋊#3622C2311yescharacteristic, complemented
453#10587492C2311yescharacteristic
454#10587492C2311yescharacteristic
455#10587492C2311yescharacteristic, complemented
456#10587492C2311yescharacteristic, complemented
457#10587492C2311yescharacteristic, complemented
458#10587491C2311yescharacteristic
459#10587491C2311yescharacteristic
460#10587491C2311yescharacteristic
461#10587491C2311yescharacteristic
462#10587491C2311yescharacteristic
463#10587491C2311yescharacteristic
464#10587491C2311yescharacteristic, complemented
465#10587491C2311yescharacteristic, complemented
466#10587488C2311yescharacteristic, complemented
467#10587487C2311yescharacteristic, complemented
468#10587486C2311yescharacteristic, complemented
469#10587485C2311yescharacteristic, complemented
470#10587485C2311yescharacteristic, complemented
471C8×Dic17C2311yescharacteristic, complemented
472#10587481C2311yescharacteristic, complemented
473#10587480C2311yescharacteristic
474#10587480C2311yescharacteristic
475#10587480C2311yescharacteristic
476#10587480C2311yescharacteristic
477#10587480C2311yescharacteristic
478#10587480C2311yescharacteristic
479#10587480C2311yescharacteristic, complemented
480#10587480C2311yescharacteristic, complemented
481#10587480C2311yescharacteristic, complemented
482#10587480C2311yescharacteristic, complemented
483#10587480C2311yescharacteristic, complemented
484#10587478C2311yescharacteristic, complemented
485#10587478C2311yescharacteristic, complemented
486#10587478C2311yescharacteristic, complemented
487#10587478C2311yescharacteristic, complemented
488C4⋊#3622C2311yescharacteristic, complemented
489C4×#3622C2311yescharacteristic, complemented
490C24×C17—21no—
491C23×D17—21no—
492C23×D17—21no—
493C23×D17—21no—
494C23×D17—21no—
495C23×D17—21no—
496C23×D17—21no—
497C23×D17—21no—
498C23×D17—21no—
499C23×D17—21no—
500C23×D17—44no—
501C23×D17—82no—
502C23×D17—82no—
503C23×D17C2×D411yescharacteristic
504#41×C17—22no—
505#41×C17—41no—
506#41×C17—82no—
507C2×Q8×C17—21no—
508C2×Q8×C17C2411yescharacteristic
509C2×D4×C17—22no—
510C2×D4×C17—21no—
511C2×D4×C17—21no—
512C2×D4×C17—21no—
513C2×D4×C17—21no—
514C2×D4×C17—21no—
515C2×D4×C17—41no—
516C2×D4×C17C2×D411yescharacteristic
517C2×D4×C17C2411yescharacteristic
518C2×D4×C17C2411yescharacteristic
519C2×D4×C17C2411yescharacteristic
520C22×C4×C17—21no—
521C22×C4×C17—21no—
522C22×C4×C17—21no—
523C22×C4×C17—21no—
524C22×C4×C17—21no—
525C22×C4×C17C2411yescharacteristic
526C22×C4×C17C2411yescharacteristic
527C2×C22⋊D17—21no—
528C2×C22⋊D17—21no—
529C2×C22⋊D17—21no—
530C2×C22⋊D17—21no—
531C2×C22⋊D17—21no—
532C2×C22⋊D17—21no—
533C2×C22⋊D17—21no—
534C2×C22⋊D17—21no—
535C2×C22⋊D17—21no—
536C2×C22⋊D17—21no—
537C2×C22⋊D17—21no—
538C2×C22⋊D17—21no—
539C2×C22⋊D17—21no—
540C2×C22⋊D17—21no—
541C2×C22⋊D17—21no—
542C2×C22⋊D17—21no—
543C2×C22⋊D17—21no—
544C2×C22⋊D17—44no—
545C2×C22⋊D17—82no—
546C2×C22⋊D17C2×D411yescharacteristic
547C2×C22⋊D17C2×D411yescharacteristic
548C2×C22⋊D17C2×D411yescharacteristic
549C2×C22⋊D17C2×D411yescharacteristic
550C22×Dic17—21no—
551C22×Dic17—21no—
552C22×Dic17C2×D411yescharacteristic
553#63256—22no—
554#63256—41no—
555#63256—41no—
556#63256—41no—
557#63254—41no—
558#63254—41no—
559D4×D17—22no—
560D4×D17—22no—
561D4×D17—22no—
562D4×D17—22no—
563D4×D17—22no—
564D4×D17—41no—
565D4×D17—41no—
566D4×D17—41no—
567D4×D17—41no—
568D4×D17—41no—
569D4×D17—41no—
570D4×D17—41no—
571D4×D17—44no—
572D4×D17—44no—
573D4×D17—44no—
574D4×D17—44no—
575D4×D17—82no—
576D4×D17—82no—
577D4×D17—82no—
578#63252—41no—
579#63252—41no—
580#63252—41no—
581#63252—41no—
582#63252—44no—
583C2×D68—22no—
584C2×D68—22no—
585C2×D68—21no—
586C2×D68—21no—
587C2×D68—21no—
588C2×D68—21no—
589C2×D68—21no—
590C2×D68—21no—
591C2×D68—21no—
592C2×D68—21no—
593C2×D68—21no—
594C2×D68—21no—
595C2×D68—21no—
596C2×D68—21no—
597C2×D68—21no—
598C2×D68—21no—
599C2×D68—41no—
600C2×D68—41no—
601C2×D68—41no—
602C2×D68—41no—
603C2×D68—44no—
604C2×D68—82no—
605C2×D68—82no—
606C2×D68C2×D411yescharacteristic
607C2×D68C2×D411yescharacteristic
608C2×D68C2411yescharacteristic
609C2×D68C2411yescharacteristic
610C2×D68C2411yescharacteristic
611C2×D68C2411yescharacteristic
612C2×D68C2411yescharacteristic
613C2×C4×D17—21no—
614C2×C4×D17—21no—
615C2×C4×D17—21no—
616C2×C4×D17—21no—
617C2×C4×D17—21no—
618C2×C4×D17—21no—
619C2×C4×D17—21no—
620C2×C4×D17—41no—
621C2×C4×D17—41no—
622C2×C4×D17C2×D411yescharacteristic
623C2×C4×D17C2×D411yescharacteristic
624C2×C4×D17C2411yescharacteristic
625C2×C4×D17C2411yescharacteristic
626C2×C4×D17C2411yescharacteristic
627C2×Dic34C2×D411yescharacteristic
628C2×Dic34C2411yescharacteristic
629SD16×C17—41no—
630D8×C17—22no—
631D8×C17—41no—
632M16×C17—41no—
633C2×C8×C17—41no—
634C2×C8×C17C2411yescharacteristic
635C2×C8×C17C2411yescharacteristic
636C2×C8×C17C2411yescharacteristic
637C2×C8×C17C2411yescharacteristic
638C4⋊C4×C17—21no—
639C4⋊C4×C17—21no—
640C4⋊C4×C17—21no—
641C4⋊C4×C17—21no—
642C4⋊C4×C17C2×D411yescharacteristic
643C4⋊C4×C17C2411yescharacteristic
644C4⋊C4×C17C2411yescharacteristic
645C4⋊C4×C17C2411yescharacteristic
646C4⋊C4×C17C2411yescharacteristic
647C22⋊C4×C17—21no—
648C22⋊C4×C17—21no—
649C22⋊C4×C17—21no—
650C22⋊C4×C17—21no—
651C22⋊C4×C17—21no—
652C22⋊C4×C17—21no—
653C22⋊C4×C17—21no—
654C22⋊C4×C17—21no—
655C22⋊C4×C17C2×D411yescharacteristic
656C22⋊C4×C17C2×D411yescharacteristic
657C42×C17C2411yescharacteristic
658C22⋊Dic17—21no—
659C22⋊Dic17—21no—
660C22⋊Dic17—21no—
661C22⋊Dic17—21no—
662C22⋊Dic17C2×D411yescharacteristic
663C22⋊Dic17C2×D411yescharacteristic
664#63231—41no—
665#63230—41no—
666#63230—41no—
667#63229—22no—
668#63229—41no—
669#63228—22no—
670#63228—22no—
671#63228—22no—
672#63228—41no—
673#63228—41no—
674#63228—41no—
675#63228—41no—
676#63227—21no—
677#63227—21no—
678#63227—21no—
679#63227—21no—
680#63227—21no—
681#63227—21no—
682#63227—21no—
683#63227—21no—
684#63227—21no—
685#63227—21no—
686#63227—21no—
687#63227—21no—
688#63227—21no—
689#63227—21no—
690#63227—21no—
691#63227—21no—
692#63227—21no—
693#63227—21no—
694#63227—21no—
695#63227—21no—
696#63227—21no—
697#63227—21no—
698#63227—21no—
699#63227—21no—
700#63227C2×D411yescharacteristic
701#63227C2×D411yescharacteristic
702#63227C2×D411yescharacteristic
703#63227C2×D411yescharacteristic
704#63227C2×D411yescharacteristic
705#63227C2×D411yescharacteristic
706C4⋊Dic17—21no—
707C4⋊Dic17—21no—
708C4⋊Dic17—21no—
709C4⋊Dic17C2×D411yescharacteristic
710C4⋊Dic17C2411yescharacteristic
711C4⋊Dic17C2411yescharacteristic
712#63225—21no—
713#63225—21no—
714#63225—21no—
715#63225—21no—
716#63225C2×D411yescharacteristic
717#63225C2×D411yescharacteristic
718#63225C2×D411yescharacteristic
719#63225C2×D411yescharacteristic
720C4×Dic17—21no—
721C4×Dic17—21no—
722C4×Dic17—21no—
723C4×Dic17—21no—
724C4×Dic17C2411yescharacteristic
725C2×#3622—41no—
726C2×#3622—41no—
727C2×#3622C2411yescharacteristic
728C2×#3622C2411yescharacteristic
729C2×#3622C2411yescharacteristic
730C2×#3622C2411yescharacteristic
731D136—22no—
732D136—22no—
733D136—41no—
734D136—41no—
735D136—41no—
736D136—41no—
737#63219—22no—
738#63219—41no—
739#63219—41no—
740#63218—41no—
741#63218—41no—
742#63218—41no—
743C8×D17—41no—
744#61609—171nomaximal, Sylow
745C23×C17—21no—
746C23×C17—21no—
747C23×C17—21no—
748C23×C17—42no—
749C23×C17—42no—
750C23×C17—81no—
751C23×C17C22×D411yescharacteristic
752C23×C17C22×D411yescharacteristic
753C22×D17—22no—
754C22×D17—21no—
755C22×D17—24no—
756C22×D17—21no—
757C22×D17—21no—
758C22×D17—21no—
759C22×D17—21no—
760C22×D17—41no—
761C22×D17—41no—
762C22×D17—42no—
763C22×D17—42no—
764C22×D17—42no—
765C22×D17—42no—
766C22×D17—42no—
767C22×D17—42no—
768C22×D17—42no—
769C22×D17—42no—
770C22×D17—42no—
771C22×D17—42no—
772C22×D17—81no—
773C22×D17—81no—
774C22×D17—81no—
775C22×D17—81no—
776C22×D17—81no—
777C22×D17—81no—
778C22×D17—81no—
779C22×D17—81no—
780C22×D17—81no—
781C22×D17—81no—
782C22×D17—81no—
783C22×D17—81no—
784C22×D17—81no—
785C22×D17—81no—
786C22×D17—81no—
787C22×D17—81no—
788C22×D17—816no—
789C22×D17C22×D411yescharacteristic
790C22×D17C22×D411yescharacteristic
791C22×D17C22×D411yescharacteristic
792Q8×C17—21no—
793Q8×C17—21no—
794Q8×C17—81no—
795D4×C17—22no—
796D4×C17—21no—
797D4×C17—21no—
798D4×C17—21no—
799D4×C17—21no—
800D4×C17—21no—
801D4×C17—42no—
802D4×C17—42no—
803D4×C17—42no—
804D4×C17—81no—
805D4×C17—81no—
806D4×C17H(5,𝔽2)12yes—
807C2×C4×C17—21no—
808C2×C4×C17—21no—
809C2×C4×C17—21no—
810C2×C4×C17—21no—
811C2×C4×C17—21no—
812C2×C4×C17—21no—
813C2×C4×C17—21no—
814C2×C4×C17—21no—
815C2×C4×C17—21no—
816C2×C4×C17—42no—
817C2×C4×C17—42no—
818C2×C4×C17—81no—
819C2×C4×C17—81no—
820C2×C4×C17—81no—
821C2×C4×C17C22×D411yescharacteristic
822C2×C4×C17C22×D411yescharacteristic
823C2×C4×C17C22×D411yescharacteristic
824C2×C4×C17C22×D411yescharacteristic
825C2×C4×C17C2511yescharacteristic
826C22⋊D17—24no—
827C22⋊D17—22no—
828C22⋊D17—41no—
829C22⋊D17—41no—
830C22⋊D17—41no—
831C22⋊D17—42no—
832C22⋊D17—42no—
833C22⋊D17—42no—
834C22⋊D17—42no—
835C22⋊D17—42no—
836C22⋊D17—81no—
837C22⋊D17—81no—
838C22⋊D17—81no—
839C22⋊D17—81no—
840C22⋊D17—81no—
841C22⋊D17—81no—
842C22⋊D17—81no—
843C22⋊D17—81no—
844C22⋊D17—81no—
845C22⋊D17—81no—
846C22⋊D17—81no—
847C2×Dic17—21no—
848C2×Dic17—21no—
849C2×Dic17—21no—
850C2×Dic17—41no—
851C2×Dic17—81no—
852C2×Dic17—81no—
853C2×Dic17C22×D411yescharacteristic
854C2×Dic17C22×D411yescharacteristic
855C2×Dic17C22×D411yescharacteristic
856C2×Dic17C22×D411yescharacteristic
857C2×Dic17C22×D411yescharacteristic
858D68—21no—
859D68—21no—
860D68—21no—
861D68—21no—
862D68—21no—
863D68—21no—
864D68—21no—
865D68—21no—
866D68—21no—
867D68—41no—
868D68—41no—
869D68—42no—
870D68—42no—
871D68—42no—
872D68—42no—
873D68—42no—
874D68—81no—
875D68—81no—
876D68—81no—
877D68—81no—
878D68—81no—
879D68—81no—
880D68—81no—
881D68—81no—
882D68—81no—
883D68H(5,𝔽2)12yes—
884C4×D17—21no—
885C4×D17—21no—
886C4×D17—21no—
887C4×D17—21no—
888C4×D17—21no—
889C4×D17—21no—
890C4×D17—41no—
891C4×D17—41no—
892C4×D17—42no—
893C4×D17—42no—
894C4×D17—81no—
895C4×D17—81no—
896C4×D17—81no—
897C4×D17—81no—
898C4×D17—81no—
899Dic34—21no—
900Dic34—21no—
901Dic34—41no—
902C8×C17—21no—
903C8×C17—21no—
904C8×C17—21no—
905C8×C17—21no—
906#3622—21no—
907#3622—21no—
908#3622—21no—
909#3622—21no—
910#3542—171no—
911#3484—171no—
912#3325—171no—
913#3322—171no—
914#3319—171no—
915#3318—171no—
916#3310—171no—
917#3306D1711yescharacteristic, complemented
918#3296—171no—
919#3294—171no—
920#3280—171no—
921D4×D8—171no—
922#3274—171no—
923#3273—171no—
924#3268—171no—
925#3264—171no—
926#3264—171no—
927#3264—171no—
928#3224—171no—
929#3220—171no—
930#3199—171no—
931#3198—171no—
932#3194—171no—
933#3191—171no—
934#3122—171no—
935#3118—171no—
936#3012—171no—
937#3008—171no—
938#3003—171no—
939C2×#447—171no—
940#2976—171no—
941C22×C17—21no—
942C22×C17—21no—
943C22×C17—21no—
944C22×C17—22no—
945C22×C17—21no—
946C22×C17—21no—
947C22×C17—41no—
948C22×C17—41no—
949C22×C17—41no—
950C22×C17—41no—
951C22×C17—41no—
952C22×C17—41no—
953C22×C17—41no—
954C22×C17—41no—
955C22×C17—84no—
956C22×C17#57612yes—
957C22×C17C23×D411yescharacteristic
958C2×D17—21no—
959C2×D17—21no—
960C2×D17—21no—
961C2×D17—21no—
962C2×D17—21no—
963C2×D17—21no—
964C2×D17—22no—
965C2×D17—21no—
966C2×D17—21no—
967C2×D17—21no—
968C2×D17—44no—
969C2×D17—41no—
970C2×D17—41no—
971C2×D17—41no—
972C2×D17—41no—
973C2×D17—41no—
974C2×D17—41no—
975C2×D17—41no—
976C2×D17—41no—
977C2×D17—41no—
978C2×D17—41no—
979C2×D17—41no—
980C2×D17—41no—
981C2×D17—41no—
982C2×D17—41no—
983C2×D17—84no—
984C2×D17—84no—
985C2×D17—84no—
986C2×D17—84no—
987C2×D17—84no—
988C2×D17—162no—
989C2×D17—162no—
990C2×D17—162no—
991C2×D17—162no—
992C4×C17—21no—
993C4×C17—21no—
994C4×C17—21no—
995C4×C17—21no—
996C4×C17—41no—
997C4×C17—41no—
998C4×C17—41no—
999C4×C17—41no—
1000C4×C17—41no—
1001C4×C17C2×H(5,𝔽2)11yescharacteristic
1002C4×C17C2×H(5,𝔽2)11yescharacteristic
1003Dic17—21no—
1004Dic17—21no—
1005Dic17—21no—
1006Dic17—21no—
1007Dic17—21no—
1008Dic17—41no—
1009Dic17—41no—
1010Dic17—41no—
1011C2×H(5,𝔽2)—171no—
1012C23×D4—171no—
1013C2×AGL(1,ℤ/8)—171no—
1014C2×AGL(1,ℤ/8)—171no—
1015C2×AGL(1,ℤ/8)—171no—
1016C2×AGL(1,ℤ/8)—171no—
1017C2×#135—171no—
1018C22×D8—171no—
1019C22×D8—171no—
1020C22×D8—171no—
1021#562—341no—
1022#560—341no—
1023#555—171no—
1024#553—171no—
1025#552—171no—
1026#551—341no—
1027#550—171no—
1028#547C2×D1711yescharacteristic, complemented
1029#546—171no—
1030#546—171no—
1031#546—171no—
1032#546—171no—
1033#546—171no—
1034#546—341no—
1035#546—341no—
1036#546—341no—
1037#546C2×D1711yescharacteristic, complemented
1038D42—171no—
1039D42—171no—
1040D42—171no—
1041D42—171no—
1042D42—171no—
1043D42—341no—
1044D42—341no—
1045#542—171no—
1046#540—171no—
1047#540—341no—
1048#538—341no—
1049#537—171no—
1050#535—171no—
1051#535—171no—
1052#535—171no—
1053#535—341no—
1054#534—341no—
1055#534—341no—
1056#534—341no—
1057#525—171no—
1058#525—171no—
1059#525—171no—
1060C2×#121—171no—
1061C2×#120—341no—
1062C2×#120—341no—
1063#518—171no—
1064#496—171no—
1065#496—171no—
1066#495—171no—
1067#493—171no—
1068#490—171no—
1069#489C2×D1711yescharacteristic, complemented
1070#488—171no—
1071#486—171no—
1072#485—171no—
1073#485—171no—
1074#483C2×D1711yescharacteristic, complemented
1075#482—171no—
1076#482—171no—
1077#482—171no—
1078#482—171no—
1079#482—171no—
1080#482—171no—
1081#481C2×D1711yescharacteristic, complemented
1082#480—171no—
1083#480—171no—
1084#478—171no—
1085#478—171no—
1086#476C2×D1711yescharacteristic, complemented
1087#474—171no—
1088#469—171no—
1089#469—171no—
1090#469—171no—
1091#469—171no—
1092#469C2×D1711yescharacteristic, complemented
1093#468—171no—
1094#468—171no—
1095#468—171no—
1096#467—171no—
1097#466—171no—
1098#466—171no—
1099#466—171no—
1100#466—171no—
1101#465—171no—
1102#465—171no—
1103#465C2×D1711yescharacteristic, complemented
1104#464—171no—
1105#463—171no—
1106#463—171no—
1107#463—171no—
1108#463—171no—
1109#463C2×D1711yescharacteristic, complemented
1110#460—171no—
1111#459—171no—
1112#459—171no—
1113#459—171no—
1114#459—171no—
1115#459—171no—
1116#452—171no—
1117#452—171no—
1118#452—171no—
1119#450—171no—
1120#450—171no—
1121#450—171no—
1122#450—171no—
1123#450—171no—
1124#450—171no—
1125#449—171no—
1126#449—171no—
1127#449—171no—
1128#449—171no—
1129#449—171no—
1130#449—171no—
1131#449—171no—
1132#449—171no—
1133#449C2×D1711yescharacteristic, complemented
1134#447—171no—
1135#447—171no—
1136#447—171no—
1137#447—171no—
1138#447—171no—
1139#447—171no—
1140#447—171no—
1141#447—171no—
1142#447—171no—
1143#447—171no—
1144#447—171no—
1145#447—171no—
1146#447—171no—
1147#447—171no—
1148#447—171no—
1149#447—171no—
1150#447—171no—
1151#447C2×D1711yescharacteristic, complemented
1152#442—171no—
1153#442—171no—
1154#442C2×D1711yescharacteristic, complemented
1155#440—171no—
1156C4×SD16—171no—
1157C4×D8—171no—
1158C4×D8—171no—
1159C4×D8—171no—
1160#436—171no—
1161#436—171no—
1162#435—171no—
1163#435—171no—
1164#435—171no—
1165#435C2×D1711yescharacteristic, complemented
1166C8×D4—171no—
1167C8×D4—171no—
1168#433—171no—
1169#433—171no—
1170#418—171no—
1171#418—171no—
1172#418—171no—
1173#417C2×D1711yescharacteristic, complemented
1174#416—171no—
1175C2×#102—171no—
1176C2×#102—171no—
1177C2×#102C2×D1711yescharacteristic, complemented
1178#408—171no—
1179#408—171no—
1180#407—171no—
1181C2×C22⋊C8—171no—
1182C2×C17—22no—
1183C2×C17—42no—
1184C2×C17—41no—
1185C2×C17—81no—
1186C2×C17—81no—
1187C2×C17#348411yescharacteristic
1188C2×C17C2×#57611yescharacteristic
1189C2×C17#358511yescharacteristic
1190D17—41no—
1191D17—41no—
1192D17—41no—
1193D17—42no—
1194D17—81no—
1195D17—81no—
1196D17—81no—
1197D17—81no—
1198C25—341no—
1199H(5,𝔽2)—682no—
1200H(5,𝔽2)—682no—
1201C2×#41—21no—
1202C2×#41—171no—
1203C2×#41—171no—
1204C2×#41—171no—
1205C2×#41—171no—
1206C2×#41—171no—
1207C2×#41—341no—
1208C2×#41C22×D1711yescharacteristic
1209C22×D4—171no—
1210C22×D4—171no—
1211C22×D4—171no—
1212C22×D4—171no—
1213C22×D4—171no—
1214C22×D4—171no—
1215C22×D4—171no—
1216C22×D4—171no—
1217C22×D4—171no—
1218C22×D4—341no—
1219C22×D4—341no—
1220C22×D4—341no—
1221C22×D4—341no—
1222C22×D4—341no—
1223C22×D4—341no—
1224C22×D4—341no—
1225C22×D4—341no—
1226C22×D4—341no—
1227C22×D4—341no—
1228C22×D4—341no—
1229C22×D4—341no—
1230C22×D4—682no—
1231C22×D4—682no—
1232C22×D4C22×D1711yescharacteristic
1233C23×C4—171no—
1234AGL(1,ℤ/8)—682no—
1235AGL(1,ℤ/8)—682no—
1236AGL(1,ℤ/8)—682no—
1237AGL(1,ℤ/8)—682no—
1238#135—682no—
1239C2×Q16—171no—
1240C2×SD16—171no—
1241C2×SD16—171no—
1242C2×SD16—171no—
1243C2×SD16—171no—
1244C2×SD16—171no—
1245C2×SD16—171no—
1246C2×SD16—171no—
1247C2×SD16C22×D1711yescharacteristic, complemented
1248C2×D8—171no—
1249C2×D8—171no—
1250C2×D8—171no—
1251C2×D8—171no—
1252C2×D8—171no—
1253C2×D8—171no—
1254C2×D8—171no—
1255C2×D8—171no—
1256C2×D8—171no—
1257C2×D8—171no—
1258C2×D8—171no—
1259C2×D8—171no—
1260C2×D8—171no—
1261C2×D8—682no—
1262C2×D8—682no—
1263C2×D8—682no—
1264C2×D8C22×D1711yescharacteristic
1265C2×D8C22×D1711yescharacteristic
1266C2×M16—171no—
1267C2×M16—171no—
1268C2×M16—171no—
1269C2×M16C22×D1711yescharacteristic, complemented
1270C22×C8—171no—
1271C22×C8—171no—
1272C22×C8—171no—
1273C22×C8C22×D1711yescharacteristic
1274C4⋊Q8C22×D1711yescharacteristic, complemented
1275#127—171no—
1276#127—171no—
1277#127—171no—
1278#127—341no—
1279#127—341no—
1280#127—341no—
1281#126—341no—
1282#126—341no—
1283#126—341no—
1284#125—171no—
1285#125—341no—
1286#124—171no—
1287#124—171no—
1288#124—341no—
1289#124—341no—
1290#124—341no—
1291#124—341no—
1292#124—341no—
1293#124C22×D1711yescharacteristic
1294#123—21no—
1295#123—21no—
1296#123—21no—
1297#123—171no—
1298#123—171no—
1299#123—341no—
1300#123—341no—
1301#123—341no—
1302#123—341no—
1303#123—341no—
1304#123—341no—
1305#123—341no—
1306#123—341no—
1307#123—341no—
1308#123—341no—
1309#123—341no—
1310#123—341no—
1311C22⋊Q8—21no—
1312C22⋊Q8—171no—
1313C22⋊Q8—171no—
1314C22⋊Q8—171no—
1315C22⋊Q8—171no—
1316C22⋊Q8—171no—
1317C22⋊Q8—171no—
1318C22⋊Q8—341no—
1319C22⋊Q8—341no—
1320C22⋊Q8C22×D1711yescharacteristic
1321#121—21no—
1322#121—171no—
1323#121—171no—
1324#121—171no—
1325#121—171no—
1326#121—171no—
1327#121—171no—
1328#121—171no—
1329#121—171no—
1330#121—171no—
1331#121—171no—
1332#121—171no—
1333#121—171no—
1334#121—171no—
1335#121—171no—
1336#121—341no—
1337#121—341no—
1338#121—341no—
1339#121—341no—
1340#121—341no—
1341#121—341no—
1342#121—341no—
1343#121—341no—
1344#121—341no—
1345#121—341no—
1346#121—341no—
1347#121—341no—
1348#121—341no—
1349#121—341no—
1350#121—341no—
1351#121—341no—
1352#121—341no—
1353#121—341no—
1354#121—341no—
1355#121—341no—
1356#121—341no—
1357#121—341no—
1358#121—341no—
1359#121C22×D1711yescharacteristic
1360#121C22×D1711yescharacteristic
1361#121C22×D1711yescharacteristic, complemented
1362#120—21no—
1363#120—171no—
1364#120—171no—
1365#120—341no—
1366#120—341no—
1367#120—341no—
1368#120—341no—
1369#120—341no—
1370#120—341no—
1371#120—341no—
1372#120—341no—
1373#120—341no—
1374#120—341no—
1375#120—341no—
1376#120—341no—
1377#120—341no—
1378#120—341no—
1379#120—341no—
1380#120—341no—
1381#120—341no—
1382#120—341no—
1383#120—341no—
1384#120—341no—
1385#120—341no—
1386#120—341no—
1387#120—341no—
1388C4×Q8—171no—
1389C4×D4—171no—
1390C4×D4—171no—
1391C4×D4—171no—
1392C4×D4—171no—
1393C4×D4—171no—
1394C4×D4—171no—
1395C4×D4—171no—
1396C4×D4—171no—
1397C4×D4—341no—
1398C4×D4—341no—
1399C4×D4—341no—
1400C4×D4—341no—
1401C4×D4—341no—
1402C4×D4—341no—
1403C4×D4—341no—
1404C4×D4—341no—
1405C4×D4C22×D1711yescharacteristic
1406C4×D4C22×D1711yescharacteristic
1407C4×D4C22×D1711yescharacteristic, complemented
1408#117—171no—
1409#117—171no—
1410#117—171no—
1411#117—171no—
1412#117—341no—
1413#117—341no—
1414C2×C4⋊C4C22×D1711yescharacteristic
1415C2×C4⋊C4C22×D1711yescharacteristic, complemented
1416C2×C22⋊C4—21no—
1417C2×C22⋊C4—341no—
1418C2×C22⋊C4—341no—
1419C2×C22⋊C4—341no—
1420C2×C22⋊C4—341no—
1421C2×C22⋊C4—341no—
1422C2×C22⋊C4—341no—
1423C2×C22⋊C4—341no—
1424C2×C22⋊C4—341no—
1425#107—171no—
1426#107—171no—
1427#107—171no—
1428#107—171no—
1429#106—171no—
1430#106C22×D1711yescharacteristic, complemented
1431#106C22×D1711yescharacteristic, complemented
1432#106C22×D1711yescharacteristic, complemented
1433C4⋊C8—171no—
1434C4⋊C8—171no—
1435C4⋊C8—171no—
1436C4⋊C8C22×D1711yescharacteristic, complemented
1437#103—171no—
1438#103—171no—
1439#103—171no—
1440#103C22×D1711yescharacteristic, complemented
1441#103C22×D1711yescharacteristic, complemented
1442#103C22×D1711yescharacteristic, complemented
1443#102—171no—
1444#102—171no—
1445#102—171no—
1446#102—171no—
1447#102—171no—
1448#102—171no—
1449#102—171no—
1450#102—171no—
1451#102—171no—
1452#102—171no—
1453#102—171no—
1454#102—171no—
1455#102—171no—
1456#102—171no—
1457#102—171no—
1458#102—171no—
1459#102—171no—
1460#102—171no—
1461#102—171no—
1462#102C22×D1711yescharacteristic
1463#102C22×D1711yescharacteristic
1464#102C22×D1711yescharacteristic
1465#102C22×D1711yescharacteristic
1466#102C22×D1711yescharacteristic
1467#102C22×D1711yescharacteristic
1468#102C22×D1711yescharacteristic, complemented
1469C22⋊C8—171no—
1470C22⋊C8—171no—
1471C22⋊C8—171no—
1472C22⋊C8—171no—
1473C22⋊C8—171no—
1474C22⋊C8—171no—
1475C22⋊C8—171no—
1476C22⋊C8—171no—
1477C22⋊C8—171no—
1478C22⋊C8—171no—
1479C22⋊C8C22×D1711yescharacteristic
1480C22⋊C8C22×D1711yescharacteristic, complemented
1481#97—171no—
1482#97C22×D1711yescharacteristic, complemented
1483C4×C8—171no—
1484C4×C8—171no—
1485C17#6160911yescharacteristic, complemented, Sylow
1486C24—21no—
1487C24—171no—
1488C24—341no—
1489C24—341no—
1490C24—341no—
1491C24—341no—
1492C24—341no—
1493C24—341no—
1494C24—341no—
1495C24—341no—
1496C24—341no—
1497C24—684no—
1498C24—1362no—
1499C24—1362no—
1500#41—22no—
1501#41—41no—
1502#41—82no—
1503#41—342no—
1504#41—681no—
1505#41—681no—
1506#41—681no—
1507#41—681no—
1508#41—684no—
1509#41—681no—
1510#41—681no—
1511#41—681no—
1512#41—681no—
1513#41—681no—
1514C2×Q8—21no—
1515C2×Q8—171no—
1516C2×Q8—171no—
1517C2×Q8C23×D1711yescharacteristic
1518C2×D4—22no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—41no—
1525C2×D4—171no—
1526C2×D4—171no—
1527C2×D4—171no—
1528C2×D4—171no—
1529C2×D4—171no—
1530C2×D4—171no—
1531C2×D4—171no—
1532C2×D4—171no—
1533C2×D4—171no—
1534C2×D4—171no—
1535C2×D4—171no—
1536C2×D4—342no—
1537C2×D4—342no—
1538C2×D4—341no—
1539C2×D4—341no—
1540C2×D4—341no—
1541C2×D4—341no—
1542C2×D4—341no—
1543C2×D4—341no—
1544C2×D4—341no—
1545C2×D4—341no—
1546C2×D4—341no—
1547C2×D4—341no—
1548C2×D4—341no—
1549C2×D4—341no—
1550C2×D4—341no—
1551C2×D4—341no—
1552C2×D4—341no—
1553C2×D4—341no—
1554C2×D4—341no—
1555C2×D4—341no—
1556C2×D4—341no—
1557C2×D4—342no—
1558C2×D4—342no—
1559C2×D4—342no—
1560C2×D4—342no—
1561C2×D4—342no—
1562C2×D4—341no—
1563C2×D4—341no—
1564C2×D4—341no—
1565C2×D4—341no—
1566C2×D4—341no—
1567C2×D4—341no—
1568C2×D4—341no—
1569C2×D4—341no—
1570C2×D4—341no—
1571C2×D4—341no—
1572C2×D4—341no—
1573C2×D4—341no—
1574C2×D4—681no—
1575C2×D4—681no—
1576C2×D4—681no—
1577C2×D4—681no—
1578C2×D4—684no—
1579C2×D4—681no—
1580C2×D4—681no—
1581C2×D4—681no—
1582C2×D4—681no—
1583C2×D4—681no—
1584C2×D4—681no—
1585C2×D4—681no—
1586C2×D4—684no—
1587C2×D4—684no—
1588C2×D4—684no—
1589C2×D4—684no—
1590C2×D4—684no—
1591C2×D4—1362no—
1592C2×D4—1362no—
1593C2×D4—1362no—
1594C2×D4—1362no—
1595C2×D4—1362no—
1596C2×D4—1362no—
1597C2×D4D4×D1711yescharacteristic
1598C2×D4C23×D1711yescharacteristic
1599C2×D4C23×D1711yescharacteristic
1600C2×D4C23×D1711yescharacteristic
1601C22×C4—21no—
1602C22×C4—21no—
1603C22×C4—21no—
1604C22×C4—21no—
1605C22×C4—21no—
1606C22×C4—171no—
1607C22×C4—171no—
1608C22×C4—171no—
1609C22×C4—171no—
1610C22×C4—171no—
1611C22×C4—171no—
1612C22×C4—341no—
1613C22×C4—341no—
1614C22×C4—341no—
1615C22×C4—341no—
1616C22×C4—341no—
1617C22×C4—341no—
1618C22×C4—341no—
1619C22×C4—341no—
1620C22×C4—341no—
1621C22×C4—681no—
1622C22×C4—681no—
1623C22×C4C23×D1711yescharacteristic
1624C22×C4C23×D1711yescharacteristic
1625Q16—681no—
1626SD16—41no—
1627SD16—342no—
1628SD16—342no—
1629SD16—681no—
1630SD16—681no—
1631SD16—681no—
1632SD16—681no—
1633SD16—681no—
1634D8—22no—
1635D8—41no—
1636D8—342no—
1637D8—342no—
1638D8—342no—
1639D8—342no—
1640D8—342no—
1641D8—681no—
1642D8—681no—
1643D8—681no—
1644D8—681no—
1645D8—681no—
1646D8—681no—
1647D8—681no—
1648D8—681no—
1649M16—41no—
1650M16—681no—
1651M16—681no—
1652M16—681no—
1653C2×C8—41no—
1654C2×C8—171no—
1655C2×C8—171no—
1656C2×C8—171no—
1657C2×C8—171no—
1658C2×C8—681no—
1659C2×C8—681no—
1660C2×C8—681no—
1661C2×C8C23×D1711yescharacteristic
1662C2×C8C23×D1711yescharacteristic
1663C2×C8C23×D1711yescharacteristic
1664C2×C8C23×D1711yescharacteristic
1665C4⋊C4—21no—
1666C4⋊C4—21no—
1667C4⋊C4—21no—
1668C4⋊C4—21no—
1669C4⋊C4—171no—
1670C4⋊C4—171no—
1671C4⋊C4—171no—
1672C4⋊C4—171no—
1673C4⋊C4—171no—
1674C4⋊C4—171no—
1675C4⋊C4—171no—
1676C4⋊C4—341no—
1677C4⋊C4—341no—
1678C4⋊C4—341no—
1679C4⋊C4—341no—
1680C4⋊C4—341no—
1681C4⋊C4—341no—
1682C4⋊C4—341no—
1683C4⋊C4D4×D1711yescharacteristic
1684C4⋊C4C23×D1711yescharacteristic
1685C4⋊C4C23×D1711yescharacteristic
1686C4⋊C4C23×D1711yescharacteristic
1687C4⋊C4C23×D1711yescharacteristic
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4—21no—
1695C22⋊C4—21no—
1696C22⋊C4—171no—
1697C22⋊C4—171no—
1698C22⋊C4—171no—
1699C22⋊C4—171no—
1700C22⋊C4—171no—
1701C22⋊C4—171no—
1702C22⋊C4—171no—
1703C22⋊C4—171no—
1704C22⋊C4—341no—
1705C22⋊C4—341no—
1706C22⋊C4—341no—
1707C22⋊C4—341no—
1708C22⋊C4—341no—
1709C22⋊C4—341no—
1710C22⋊C4—341no—
1711C22⋊C4—341no—
1712C22⋊C4—341no—
1713C22⋊C4—341no—
1714C22⋊C4—341no—
1715C22⋊C4—341no—
1716C22⋊C4—341no—
1717C22⋊C4—341no—
1718C22⋊C4—341no—
1719C22⋊C4—341no—
1720C22⋊C4—341no—
1721C22⋊C4—341no—
1722C22⋊C4—341no—
1723C22⋊C4—341no—
1724C22⋊C4—341no—
1725C22⋊C4—341no—
1726C22⋊C4—341no—
1727C22⋊C4—341no—
1728C22⋊C4—341no—
1729C22⋊C4—341no—
1730C22⋊C4—341no—
1731C22⋊C4—341no—
1732C22⋊C4D4×D1711yescharacteristic
1733C22⋊C4D4×D1711yescharacteristic
1734C42—171no—
1735C42—341no—
1736C42—341no—
1737C42—341no—
1738C42—341no—
1739C42C23×D1711yescharacteristic
1740C23—21no—
1741C23—21no—
1742C23—21no—
1743C23—42no—
1744C23—42no—
1745C23—81no—
1746C23—171no—
1747C23—171no—
1748C23—171no—
1749C23—344no—
1750C23—342no—
1751C23—341no—
1752C23—341no—
1753C23—341no—
1754C23—341no—
1755C23—341no—
1756C23—682no—
1757C23—682no—
1758C23—681no—
1759C23—681no—
1760C23—682no—
1761C23—682no—
1762C23—682no—
1763C23—682no—
1764C23—682no—
1765C23—682no—
1766C23—682no—
1767C23—682no—
1768C23—1361no—
1769C23—1361no—
1770C23—1361no—
1771C23—1361no—
1772C23—1361no—
1773C23—1361no—
1774C23—1361no—
1775C23—1361no—
1776C23—1361no—
1777C23—1361no—
1778C23—1361no—
1779C23—1361no—
1780C23—1361no—
1781C23—1361no—
1782C23—1361no—
1783C23—1361no—
1784C23—13616no—
1785C23C2×D4×D1711yescharacteristic
1786C23C2×D4×D1711yescharacteristic
1787Q8—21no—
1788Q8—21no—
1789Q8—81no—
1790Q8—341no—
1791Q8—341no—
1792Q8—681no—
1793D4—22no—
1794D4—21no—
1795D4—21no—
1796D4—21no—
1797D4—21no—
1798D4—21no—
1799D4—42no—
1800D4—42no—
1801D4—42no—
1802D4—81no—
1803D4—81no—
1804D4—172no—
1805D4—344no—
1806D4—342no—
1807D4—341no—
1808D4—341no—
1809D4—341no—
1810D4—341no—
1811D4—341no—
1812D4—341no—
1813D4—341no—
1814D4—341no—
1815D4—341no—
1816D4—681no—
1817D4—681no—
1818D4—682no—
1819D4—682no—
1820D4—682no—
1821D4—682no—
1822D4—682no—
1823D4—681no—
1824D4—681no—
1825D4—681no—
1826D4—682no—
1827D4—682no—
1828D4—682no—
1829D4—682no—
1830D4—682no—
1831D4—1361no—
1832D4—1361no—
1833D4—1361no—
1834D4—1361no—
1835D4—1361no—
1836D4—1361no—
1837D4—1361no—
1838D4—1361no—
1839D4—1361no—
1840D4—1361no—
1841D4—1361no—
1842D4—1361no—
1843D4—1361no—
1844D4—1361no—
1845D4—1361no—
1846D4—1361no—
1847D4—1361no—
1848D4—1361no—
1849D4—1361no—
1850D4—1361no—
1851D4#1058769612yes—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—21no—
1859C2×C4—21no—
1860C2×C4—21no—
1861C2×C4—42no—
1862C2×C4—42no—
1863C2×C4—81no—
1864C2×C4—81no—
1865C2×C4—81no—
1866C2×C4—171no—
1867C2×C4—171no—
1868C2×C4—171no—
1869C2×C4—171no—
1870C2×C4—171no—
1871C2×C4—341no—
1872C2×C4—341no—
1873C2×C4—341no—
1874C2×C4—341no—
1875C2×C4—341no—
1876C2×C4—341no—
1877C2×C4—341no—
1878C2×C4—341no—
1879C2×C4—341no—
1880C2×C4—681no—
1881C2×C4—681no—
1882C2×C4—682no—
1883C2×C4—682no—
1884C2×C4—681no—
1885C2×C4—1361no—
1886C2×C4—1361no—
1887C2×C4—1361no—
1888C2×C4—1361no—
1889C2×C4—1361no—
1890C2×C4—1361no—
1891C2×C4—1361no—
1892C2×C4C2×D4×D1711yescharacteristic
1893C2×C4C2×D4×D1711yescharacteristic
1894C2×C4C2×D4×D1711yescharacteristic
1895C2×C4C2×D4×D1711yescharacteristic
1896C2×C4C24×D1711yescharacteristic
1897C8—21no—
1898C8—21no—
1899C8—21no—
1900C8—21no—
1901C8—341no—
1902C8—341no—
1903C8—341no—
1904C8—341no—
1905C22—21no—
1906C22—21no—
1907C22—21no—
1908C22—22no—
1909C22—21no—
1910C22—21no—
1911C22—41no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—84no—
1920C22—2722no—
1921C22—2722no—
1922C22—2722no—
1923C22—2722no—
1924C22—341no—
1925C22—341no—
1926C22—341no—
1927C22—342no—
1928C22—341no—
1929C22—341no—
1930C22—341no—
1931C22—341no—
1932C22—341no—
1933C22—341no—
1934C22—684no—
1935C22—681no—
1936C22—681no—
1937C22—681no—
1938C22—681no—
1939C22—681no—
1940C22—681no—
1941C22—681no—
1942C22—681no—
1943C22—681no—
1944C22—681no—
1945C22—681no—
1946C22—681no—
1947C22—681no—
1948C22—681no—
1949C22—1364no—
1950C22—1364no—
1951C22—1364no—
1952C22—1364no—
1953C22—1364no—
1954C22#1176361312yes—
1955C22C22×D4×D1711yescharacteristic
1956C4—21no—
1957C4—21no—
1958C4—21no—
1959C4—21no—
1960C4—41no—
1961C4—41no—
1962C4—41no—
1963C4—41no—
1964C4—41no—
1965C4—341no—
1966C4—341no—
1967C4—341no—
1968C4—341no—
1969C4—341no—
1970C4—681no—
1971C4—681no—
1972C4—681no—
1973C4H(5,𝔽2)×D1711yescharacteristic
1974C4C2×#1058769611yescharacteristic
1975C2—22no—
1976C2—41no—
1977C2—42no—
1978C2—81no—
1979C2—81no—
1980C2—681no—
1981C2—682no—
1982C2—681no—
1983C2—681no—
1984C2—1361no—
1985C2—1361no—
1986C2—1361no—
1987C2—1361no—
1988C2#1454241411yescharacteristic
1989C2C2×#1176361311yescharacteristic
1990C2#1454356211yescharacteristic
subgroupG/H
centerC22C22×D4×D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC17×#3306C2
socleC22×C17C23×D4
hypercenter#3306D17
hypocenterC17#61609
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3306

Complements

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

NH ≅ G/Ntype
1. #14543101C2semidirect
2. #14542414C2semidirect
3. #14541023C2semidirect
4. #14540986C2semidirect
5. #14540939C2semidirect
6. #14540923C2semidirect
7. #14540801C2semidirect
8. #14540617C2semidirect
9. #14540591C2semidirect
10. #14540465C2semidirect
11. #14540454C2semidirect
12. #14540401C2semidirect
13. #14540390C2semidirect
14. #14540328C2semidirect
15. #14540269C2semidirect
16. #14540266C2semidirect
17. #14540261C2semidirect
18. #14539879C2semidirect
19. #14539831C2semidirect
20. #14539646C2semidirect
21. #14539641C2semidirect
22. #14539603C2semidirect
23. #14539573C2semidirect
24. #14539026C2semidirect
25. #14538973C2semidirect
26. #14538090C2semidirect
27. #14538049C2semidirect
28. #14538008C2semidirect
29. C2×#11762944C2semidirect
30. #14537833C2semidirect
31. C17×#3306C2semidirect
32. C2×#10587696C22semidirect
33. C22×D4×D17C22semidirect
34. C2×#10587594C22semidirect
35. C2×#10587600C22semidirect
36. C2×#10587597C22semidirect
37. C2×#10587597C22semidirect
38. C2×#10587636C22semidirect
39. C22×D136C22semidirect
40. C22×#63228C22semidirect
41. C2×D8×D17C22semidirect
44. #11763525C22semidirect
45. #11763507C22semidirect
46. #11763494C22semidirect
48. #11763477C22semidirect
49. #11763455C22semidirect
50. #11763454C22semidirect
51. #11763452C22semidirect
56. #11763447C22semidirect
57. D4×D68C22semidirect
58. D4×D68C22semidirect
60. #11763443C22semidirect
61. #11763443C22semidirect
64. #11763433C22semidirect
66. #11763410C22semidirect
68. #11763390C22semidirect
69. #11763377C22semidirect
70. #11763375C22semidirect
71. #11763375C22semidirect
76. #11763322C22semidirect
77. #11763319C22semidirect
79. C2×#10587581C22semidirect
82. #11763281C22semidirect
83. #11763198C22semidirect
84. #11763195C22semidirect
85. #11763191C22semidirect
86. #11763184C22semidirect
87. #11763172C22semidirect
88. #11763165C22semidirect
89. #11763157C22semidirect
90. #11763153C22semidirect
91. #11763148C22semidirect
92. #11763135C22semidirect
93. #11763135C22semidirect
94. #11763135C22semidirect
95. #11763135C22semidirect
96. #11763132C22semidirect
97. #11763132C22semidirect
98. #11763122C22semidirect
99. #11763122C22semidirect
100. #11763111C22semidirect
101. #11763108C22semidirect
102. #11763086C22semidirect
103. #11763063C22semidirect
104. #11763063C22semidirect
105. #11763063C22semidirect
106. #11763062C22semidirect
107. #11763058C22semidirect
108. #11763058C22semidirect
109. #11763054C22semidirect
110. #11763048C22semidirect
111. #11763044C22semidirect
112. #11763043C22semidirect
113. #11763043C22semidirect
114. #11763043C22semidirect
115. #11763039C22semidirect
116. #11763038C22semidirect
117. #11763034C22semidirect
118. #11763027C22semidirect
119. #11763025C22semidirect
120. #11763024C22semidirect
121. #11763021C22semidirect
122. #11763008C22semidirect
123. #11763005C22semidirect
124. #11763004C22semidirect
125. #11763003C22semidirect
126. #11763003C22semidirect
127. #11763002C22semidirect
128. #11762974C22semidirect
129. #11762974C22semidirect
130. #11762968C22semidirect
131. #11762962C22semidirect
132. #11762961C22semidirect
133. #11762961C22semidirect
134. #11762961C22semidirect
135. #11762960C22semidirect
136. #11762959C22semidirect
137. #11762957C22semidirect
138. #11762957C22semidirect
139. #11762957C22semidirect
140. #11762956C22semidirect
141. #11762955C22semidirect
142. #11762954C22semidirect
143. #11762953C22semidirect
144. #11762952C22semidirect
145. #11762945C22semidirect
146. #11762945C22semidirect
148. #11762944C22semidirect
149. #11762944C22semidirect
150. #11762944C22semidirect
151. #11762944C22semidirect
152. #11762944C22semidirect
153. #11762944C22semidirect
154. #11762944C22semidirect
155. #11762944C22semidirect
156. #11762944C22semidirect
157. #11762942C22semidirect
158. #11762942C22semidirect
159. #11762941C22semidirect
160. #11762941C22semidirect
161. #11762941C22semidirect
162. #11762922C22semidirect
163. #11762920C22semidirect
164. #11762906C22semidirect
165. #11762896C22semidirect
166. C4×#63228C22semidirect
167. C4×#63228C22semidirect
168. #11762889C22semidirect
169. #11762886C22semidirect
170. #11762885C22semidirect
171. #11762882C22semidirect
172. #11762880C22semidirect
173. #11762877C22semidirect
174. D4×#3622C22semidirect
175. #11762872C22semidirect
176. #11762871C22semidirect
177. #11762869C22semidirect
178. #11762812C22semidirect
179. #11762812C22semidirect
180. #11762812C22semidirect
181. #11762804C22semidirect
182. C2×#10587480C22semidirect
183. C2×#10587480C22semidirect
184. #11762777C22semidirect
185. #11762774C22semidirect
186. #11762771C22semidirect
187. C2×#10587491C22semidirect
188. C17×#547C22semidirect
189. C17×#546C22semidirect
190. C17×#489C22semidirect
191. C17×#483C22semidirect
192. C17×#481C22semidirect
193. C17×#476C22semidirect
194. C17×#469C22semidirect
195. C17×#465C22semidirect
196. C17×#463C22semidirect
197. C17×#449C22semidirect
198. C17×#447C22semidirect
199. C17×#442C22semidirect
200. C17×#435C22semidirect
201. C17×#417C22semidirect
202. C2×C17×#102C22semidirect
228. C2×D4×D17C23semidirect
231. C2×#63252C23semidirect
239. C2×SD16×C17C23semidirect
242. C2×M16×C17C23semidirect
244. C17×C4⋊Q8C23semidirect
254. C17×#121C23semidirect
258. C4×D4×C17C23semidirect
260. C2×C4⋊C4×C17C23semidirect
270. C2×#63231C23semidirect
271. C2×#63230C23semidirect
272. C2×#63230C23semidirect
277. #10587626C23semidirect
304. C2×#63228C23semidirect
313. #10587616C23semidirect
328. C22×#3622C23semidirect
339. C2×D136C23semidirect
340. C2×D136C23semidirect
343. C2×#63219C23semidirect
346. C2×#63218C23semidirect
347. C2×C8×D17C23semidirect
353. #10587583C23semidirect
367. #10587581C23semidirect
376. #10587579C23semidirect
380. #10587578C23semidirect
381. #10587576C23semidirect
383. #10587573C23semidirect
424. #10587561C23semidirect
428. C4×D68C23semidirect
430. C17×#106C23semidirect
431. C17×#106C23semidirect
432. C17×#106C23semidirect
433. C17×C4⋊C8C23semidirect
434. C17×#103C23semidirect
435. C17×#103C23semidirect
436. C17×#103C23semidirect
443. C17×#102C23semidirect
445. C17×C22⋊C8C23semidirect
446. C17×#97C23semidirect
447. #10587506C23semidirect
450. #10587503C23semidirect
452. C22⋊#3622C23semidirect
455. #10587492C23semidirect
456. #10587492C23semidirect
457. #10587492C23semidirect
464. #10587491C23semidirect
465. #10587491C23semidirect
466. #10587488C23semidirect
467. #10587487C23semidirect
468. #10587486C23semidirect
469. #10587485C23semidirect
470. #10587485C23semidirect
471. C8×Dic17C23semidirect
472. #10587481C23semidirect
479. #10587480C23semidirect
480. #10587480C23semidirect
481. #10587480C23semidirect
482. #10587480C23semidirect
483. #10587480C23semidirect
484. #10587478C23semidirect
485. #10587478C23semidirect
486. #10587478C23semidirect
487. #10587478C23semidirect
488. C4⋊#3622C23semidirect
489. C4×#3622C23semidirect
917. #3306D17semidirect
1028. #547C2×D17semidirect
1037. #546C2×D17semidirect
1069. #489C2×D17semidirect
1074. #483C2×D17semidirect
1081. #481C2×D17semidirect
1086. #476C2×D17semidirect
1092. #469C2×D17semidirect
1103. #465C2×D17semidirect
1109. #463C2×D17semidirect
1133. #449C2×D17semidirect
1151. #447C2×D17semidirect
1154. #442C2×D17semidirect
1165. #435C2×D17semidirect
1173. #417C2×D17semidirect
1177. C2×#102C2×D17semidirect
1247. C2×SD16C22×D17semidirect
1269. C2×M16C22×D17semidirect
1274. C4⋊Q8C22×D17semidirect
1361. #121C22×D17semidirect
1407. C4×D4C22×D17semidirect
1415. C2×C4⋊C4C22×D17semidirect
1430. #106C22×D17semidirect
1431. #106C22×D17semidirect
1432. #106C22×D17semidirect
1436. C4⋊C8C22×D17semidirect
1440. #103C22×D17semidirect
1441. #103C22×D17semidirect
1442. #103C22×D17semidirect
1468. #102C22×D17semidirect
1480. C22⋊C8C22×D17semidirect
1482. #97C22×D17semidirect
1485. C17#61609semidirect

Maximal subgroups

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

subgroupindex
#145431012
#145424142
#145410232
#145409862
#145409392
#145409232
#145408012
#145406172
#145405912
#145404652
#145404542
#145404012
#145403902
#145403282
#145402692
#145402662
#145402612
#145398792
#145398312
#145396462
#145396412
#145396032
#145395732
#145390262
#145389732
#145380902
#145380492
#145380082
C2×#117629442
#145378332
C17×#33062
#6160917