Finite Group Databasebeta

← #17919884

Subgroups — #17919884

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#14543103C211yesmaximal, characteristic, complemented
2#14542414C211yesmaximal, characteristic, complemented
3#14541022C211yesmaximal, characteristic, complemented
4#14540943C211yesmaximal, characteristic, complemented
5#14540919C211yesmaximal, characteristic, complemented
6#14540802C211yesmaximal, characteristic, complemented
7#14540746C211yesmaximal, characteristic, complemented
8#14540618C211yesmaximal, characteristic, complemented
9#14540595C211yesmaximal, characteristic, complemented
10#14540467C211yesmaximal, characteristic, complemented
11D8×D68C211yesmaximal, characteristic, complemented
12#14540406C211yesmaximal, characteristic, complemented
13#14540392C211yesmaximal, characteristic, complemented
14#14540320C211yesmaximal, characteristic, complemented
15#14540271C211yesmaximal, characteristic, complemented
16#14540270C211yesmaximal, characteristic, complemented
17#14540262C211yesmaximal, characteristic, complemented
18#14539877C211yesmaximal, characteristic, complemented
19#14539837C211yesmaximal, characteristic, complemented
20#14539646C211yesmaximal, characteristic, complemented
21#14539643C211yesmaximal, characteristic, complemented
22#14539599C211yesmaximal, characteristic, complemented
23#14539579C211yesmaximal, characteristic, complemented
24#14539029C211yesmaximal, characteristic, complemented
25#14538964C211yesmaximal, characteristic, complemented
26#14538090C211yesmaximal, characteristic, complemented
27#14538049C211yesmaximal, characteristic, complemented
28#14538013C211yesmaximal, characteristic, complemented
29D17×#447C211yesmaximal, characteristic, complemented
30#14537828C211yesmaximal, characteristic, complemented
31C17×#3322C211yesmaximal, characteristic, complemented
32C2×#10587696C2211yescharacteristic, complemented
33C22×D4×D17C2211yescharacteristic, complemented
34C2×#10587594C2211yescharacteristic, complemented
35C2×#10587594C2211yescharacteristic, complemented
36C2×#10587600C2211yescharacteristic, complemented
37C2×#10587618C2211yescharacteristic, complemented
38C2×#10587636C2211yescharacteristic, complemented
39C2×D8×D17C2211yescharacteristic, complemented
40C2×D8×D17C2211yescharacteristic, complemented
41C2×D8×D17C2211yescharacteristic, complemented
42#11763556—21no—
43#11763547—21no—
44#11763522C2211yescharacteristic, complemented
45#11763497C2211yescharacteristic, complemented
46#11763484—21no—
47#11763480C2211yescharacteristic, complemented
48#11763460C2211yescharacteristic, complemented
49#11763456C2211yescharacteristic, complemented
50#11763456C2211yescharacteristic, complemented
51#11763455—21no—
52#11763452C2211yescharacteristic
53#11763451—21no—
54#11763450C2211yescharacteristic, complemented
55#11763449—21no—
56#11763447C2211yescharacteristic, complemented
57D4×D68C2211yescharacteristic
58D4×D68C2211yescharacteristic, complemented
59D4×D68C2211yescharacteristic, complemented
60#11763443—21no—
61#11763443C2211yescharacteristic, complemented
62D4×C22⋊D17C2211yescharacteristic, complemented
63#11763441—21no—
64#11763424C2211yescharacteristic, complemented
65#11763415C2211yescharacteristic, complemented
66#11763410—21no—
67#11763398—21no—
68#11763390C2211yescharacteristic, complemented
69#11763377C2211yescharacteristic, complemented
70#11763375—21no—
71#11763375C2211yescharacteristic, complemented
72#11763375C2211yescharacteristic, complemented
73#11763370—21no—
74#11763370—21no—
75#11763367—21no—
76#11763322C2211yescharacteristic, complemented
77#11763321C2211yescharacteristic, complemented
78#11763318C2211yescharacteristic
79#121×D17C2211yescharacteristic, complemented
80C2×#10587568—21no—
81#120×D17—21no—
82#11763281C2211yescharacteristic, complemented
83#11763199C2211yescharacteristic, complemented
84#11763197C2211yescharacteristic, complemented
85#11763190C2211yescharacteristic, complemented
86#11763186C2211yescharacteristic, complemented
87#11763175C2211yescharacteristic, complemented
88#11763170C2211yescharacteristic, complemented
89#11763154C2211yescharacteristic, complemented
90#11763152C2211yescharacteristic, complemented
91#11763138C2211yescharacteristic, complemented
92#11763136C2211yescharacteristic, complemented
93#11763135C2211yescharacteristic, complemented
94#11763135C2211yescharacteristic, complemented
95#11763133C2211yescharacteristic, complemented
96#11763132C2211yescharacteristic, complemented
97#11763132C2211yescharacteristic, complemented
98#11763127C2211yescharacteristic, complemented
99#11763124C2211yescharacteristic, complemented
100#11763106C2211yescharacteristic, complemented
101#11763097C2211yescharacteristic, complemented
102#11763088C2211yescharacteristic, complemented
103#11763062C2211yescharacteristic, complemented
104#11763062C2211yescharacteristic, complemented
105#11763061C2211yescharacteristic, complemented
106#11763060C2211yescharacteristic, complemented
107#11763057C2211yescharacteristic, complemented
108#11763056C2211yescharacteristic, complemented
109#11763049C2211yescharacteristic, complemented
110#11763046C2211yescharacteristic, complemented
111#11763046C2211yescharacteristic, complemented
112#11763043C2211yescharacteristic, complemented
113#11763043C2211yescharacteristic, complemented
114#11763041C2211yescharacteristic, complemented
115#11763039C2211yescharacteristic, complemented
116#11763037C2211yescharacteristic, complemented
117#11763028C2211yescharacteristic, complemented
118#11763027C2211yescharacteristic, complemented
119#11763027C2211yescharacteristic, complemented
120#11763023C2211yescharacteristic, complemented
121#11763022C2211yescharacteristic, complemented
122#11763010C2211yescharacteristic, complemented
123#11763005C2211yescharacteristic, complemented
124#11763004C2211yescharacteristic, complemented
125#11763004C2211yescharacteristic, complemented
126#11763003C2211yescharacteristic, complemented
127#11763003C2211yescharacteristic, complemented
128#11762974C2211yescharacteristic, complemented
129#11762974C2211yescharacteristic, complemented
130#11762969C2211yescharacteristic, complemented
131#11762961C2211yescharacteristic, complemented
132#11762961C2211yescharacteristic, complemented
133#11762961C2211yescharacteristic, complemented
134#11762961C2211yescharacteristic, complemented
135#11762961C2211yescharacteristic, complemented
136#11762958C2211yescharacteristic, complemented
137#11762957C2211yescharacteristic, complemented
138#11762957C2211yescharacteristic, complemented
139#11762957C2211yescharacteristic, complemented
140#11762956C2211yescharacteristic, complemented
141#11762956C2211yescharacteristic, complemented
142#11762954C2211yescharacteristic, complemented
143#11762953C2211yescharacteristic, complemented
144#11762952C2211yescharacteristic, complemented
145#11762945C2211yescharacteristic, complemented
146#11762945C2211yescharacteristic, complemented
147#11762944C2211yescharacteristic, complemented
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#11762943C2211yescharacteristic, complemented
157#11762942C2211yescharacteristic, complemented
158#11762942C2211yescharacteristic, complemented
159#11762941C2211yescharacteristic
160#11762941C2211yescharacteristic, complemented
161#11762941C2211yescharacteristic, complemented
162#11762920C2211yescharacteristic, complemented
163#11762919C2211yescharacteristic, complemented
164#11762918C2211yescharacteristic, complemented
165#11762909C2211yescharacteristic, complemented
166C4×#63219C2211yescharacteristic, complemented
167#11762891C2211yescharacteristic, complemented
168#11762889C2211yescharacteristic, complemented
169#11762885C2211yescharacteristic, complemented
170#11762883C2211yescharacteristic, complemented
171#11762881C2211yescharacteristic, complemented
172#11762879C2211yescharacteristic, complemented
173#11762878C2211yescharacteristic, complemented
174C8×D68C2211yescharacteristic, complemented
175#11762872C2211yescharacteristic, complemented
176#11762869C2211yescharacteristic, complemented
177#11762868C2211yescharacteristic, complemented
178#11762813C2211yescharacteristic, complemented
179#11762812C2211yescharacteristic, complemented
180#11762804C2211yescharacteristic, complemented
181C2×#10587480C2211yescharacteristic, complemented
182#102×D17C2211yescharacteristic, complemented
183#102×D17C2211yescharacteristic, complemented
184#11762777C2211yescharacteristic, complemented
185#11762774C2211yescharacteristic, complemented
186#11762772C2211yescharacteristic, complemented
187C22⋊C8×D17C2211yescharacteristic, complemented
188C17×#553C2211yescharacteristic, complemented
189C17×#546C2211yescharacteristic, complemented
190C17×#488C2211yescharacteristic, complemented
191C17×#485C2211yescharacteristic, complemented
192C17×#480C2211yescharacteristic, complemented
193C17×#478C2211yescharacteristic, complemented
194C17×#469C2211yescharacteristic, complemented
195C17×#468C2211yescharacteristic, complemented
196C17×#463C2211yescharacteristic, complemented
197C17×#449C2211yescharacteristic, complemented
198C17×#447C2211yescharacteristic, complemented
199C4×D8×C17C2211yescharacteristic, complemented
200C17×#436C2211yescharacteristic, complemented
201C17×#418C2211yescharacteristic, complemented
202C17×#417C2211yescharacteristic, complemented
203C24×D17—21no—
204C2×#41×C17C2311yescharacteristic
205C22×D4×C17C2311yescharacteristic
206C22×C22⋊D17—21no—
207C22×C22⋊D17—21no—
208#10587696—42no—
209#10587696—42no—
210C2×#63256C2311yescharacteristic
211C2×#63256C2311yescharacteristic
212C2×D4×D17—21no—
213C2×D4×D17—21no—
214C2×D4×D17—21no—
215C2×D4×D17—21no—
216C2×D4×D17—21no—
217C2×D4×D17—21no—
218C2×D4×D17—21no—
219C2×D4×D17—42no—
220C2×D4×D17—42no—
221C2×D4×D17C2311yescharacteristic
222C2×D4×D17C2311yescharacteristic
223C2×D4×D17C2311yescharacteristic
224C2×D4×D17C2311yescharacteristic
225C2×D4×D17C2311yescharacteristic
226C2×D4×D17C2311yescharacteristic
227C2×D4×D17C2311yescharacteristic, complemented
228C2×#63252—21no—
229C2×#63252—21no—
230C2×#63252C2311yescharacteristic
231C2×#63252C2311yescharacteristic
232C2×#63252C2311yescharacteristic, complemented
233C22×D68—21no—
234C22×D68—21no—
235C22×D68—21no—
236C22×D68C2311yescharacteristic
237C22×D68C2311yescharacteristic
238C22×C4×D17C2311yescharacteristic
239C2×SD16×C17C2311yescharacteristic, complemented
240C2×D8×C17C2311yescharacteristic
241C2×D8×C17C2311yescharacteristic
242C2×M16×C17C2311yescharacteristic
243C2×M16×C17C2311yescharacteristic, complemented
244C17×#126—21no—
245C17×#125C2311yescharacteristic, complemented
246C17×#124C2311yescharacteristic
247C17×#123—21no—
248C17×#123—21no—
249C17×C22⋊Q8C2311yescharacteristic
250C17×#121—21no—
251C17×#121—21no—
252C17×#121C2311yescharacteristic
253C17×#121C2311yescharacteristic
254C17×#121C2311yescharacteristic, complemented
255C17×#120—21no—
256C4×D4×C17—21no—
257C4×D4×C17C2311yescharacteristic
258C4×D4×C17C2311yescharacteristic
259C4×D4×C17C2311yescharacteristic, complemented
260C17×#117C2311yescharacteristic
261C2×C4⋊C4×C17C2311yescharacteristic, complemented
262C2×C22⋊C4×C17—21no—
263#10587639—21no—
264#10587636—42no—
265#10587633C2311yescharacteristic
266#10587632C2311yescharacteristic
267C2×#63231C2311yescharacteristic, complemented
268C2×#63230C2311yescharacteristic, complemented
269C2×#63230C2311yescharacteristic, complemented
270#10587626—21no—
271#10587626—21no—
272#10587626—21no—
273#10587626C2311yescharacteristic
274#10587625—21no—
275#10587625—21no—
276#10587625—21no—
277#10587625D411yescharacteristic
278#10587624—21no—
279#10587624—21no—
280#10587624C2311yescharacteristic
281#10587624C2311yescharacteristic
282#10587623—21no—
283#10587623—21no—
284#10587623—21no—
285#10587623—21no—
286#10587623—21no—
287#10587623—21no—
288#10587623—21no—
289#10587623D411yescharacteristic
290#10587622C2311yescharacteristic, complemented
291D4×Dic17C2311yescharacteristic
292C2×#63229C2311yescharacteristic
293C2×#63229C2311yescharacteristic
294#10587618—42no—
295C2×#63228C2311yescharacteristic
296C2×#63228C2311yescharacteristic
297C2×#63228C2311yescharacteristic
298C2×#63228C2311yescharacteristic
299C2×#63228C2311yescharacteristic
300C2×#63228C2311yescharacteristic
301C2×#63228C2311yescharacteristic, complemented
302#10587616—21no—
303#10587616—21no—
304#10587616—21no—
305#10587616—21no—
306#10587616C2311yescharacteristic
307#10587616C2311yescharacteristic
308#10587616C2311yescharacteristic
309#10587616C2311yescharacteristic, complemented
310#10587615—21no—
311#10587615—21no—
312#10587615—21no—
313C4×C22⋊D17—21no—
314C4×C22⋊D17C2311yescharacteristic
315C4×C22⋊D17C2311yescharacteristic
316C2×#63227—21no—
317C2×#63227—21no—
318#10587610—21no—
319C2×#63223C2311yescharacteristic
320C22×#3622C2311yescharacteristic, complemented
321#10587600—42no—
322D8×D17—42no—
323D8×D17—42no—
324D8×D17—42no—
325#10587594—42no—
326#10587594—42no—
327C2×D136C2311yescharacteristic
328C2×D136C2311yescharacteristic
329C2×D136C2311yescharacteristic
330C2×D136C2311yescharacteristic
331C2×D136C2311yescharacteristic, complemented
332C2×D136C2311yescharacteristic, complemented
333C2×#63219C2311yescharacteristic
334C2×#63219C2311yescharacteristic
335C2×#63219C2311yescharacteristic, complemented
336C2×#63218C2311yescharacteristic, complemented
337C2×C8×D17C2311yescharacteristic
338C2×C8×D17C2311yescharacteristic
339C2×C8×D17C2311yescharacteristic, complemented
340#10587584—21no—
341#10587583—21no—
342#10587583C2311yescharacteristic
343#10587583C2311yescharacteristic
344#10587583C2311yescharacteristic, complemented
345#10587582—21no—
346#10587582D411yescharacteristic
347#10587581—21no—
348#10587581—21no—
349#10587581—21no—
350#10587581—21no—
351#10587581—21no—
352#10587581C2311yescharacteristic
353#10587581C2311yescharacteristic
354#10587581C2311yescharacteristic
355#10587581C2311yescharacteristic
356#10587581C2311yescharacteristic
357#10587581C2311yescharacteristic, complemented
358#10587580—21no—
359#10587580—21no—
360#10587580—21no—
361#10587580—21no—
362#10587580—21no—
363#10587580—21no—
364#10587580D411yescharacteristic
365#10587579—21no—
366#10587579—21no—
367#10587579C2311yescharacteristic
368#10587579C2311yescharacteristic, complemented
369#10587579C2311yescharacteristic, complemented
370#10587578—21no—
371#10587578C2311yescharacteristic
372#10587578C2311yescharacteristic, complemented
373C4⋊C4×D17C2311yescharacteristic
374#10587576—21no—
375#10587574C2311yescharacteristic, complemented
376#10587572—21no—
377#10587571—21no—
378#10587571—21no—
379#10587571—21no—
380#10587571—21no—
381#10587570—21no—
382#10587570—21no—
383#10587570—21no—
384#10587570—21no—
385#10587570—21no—
386#10587570—21no—
387#10587570—21no—
388#10587570—21no—
389#10587570D411yescharacteristic
390#10587569—21no—
391#10587569—21no—
392#10587569—21no—
393#10587569D411yescharacteristic
394#10587568—21no—
395#10587568—21no—
396#10587568—21no—
397#10587568—21no—
398#10587568—21no—
399#10587568—21no—
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#10587568D411yescharacteristic
410#10587567—21no—
411#10587567—21no—
412C22⋊C4×D17—21no—
413C22⋊C4×D17—21no—
414C22⋊C4×D17—21no—
415C22⋊C4×D17—21no—
416C22⋊C4×D17—21no—
417C22⋊C4×D17—21no—
418#10587565—21no—
419#10587564D411yescharacteristic
420#10587561—21no—
421#10587560C2311yescharacteristic
422#10587560C2311yescharacteristic, complemented
423C4×D68—21no—
424C4×D68—21no—
425C4×D68C2311yescharacteristic
426C4×D68C2311yescharacteristic
427#10587558—21no—
428#10587558C2311yescharacteristic
429C4×Dic34C2311yescharacteristic, complemented
430C17×#107C2311yescharacteristic, complemented
431C17×#107C2311yescharacteristic, 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
446C4×C8×C17C2311yescharacteristic, 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#10587479C2311yescharacteristic, complemented
485#10587479C2311yescharacteristic, complemented
486#10587478C2311yescharacteristic, complemented
487#10587478C2311yescharacteristic, complemented
488C4⋊#3622C2311yescharacteristic, complemented
489#10587474C2311yescharacteristic, 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—
506C2×Q8×C17C2411yescharacteristic
507C2×D4×C17—22no—
508C2×D4×C17—21no—
509C2×D4×C17—21no—
510C2×D4×C17—21no—
511C2×D4×C17—21no—
512C2×D4×C17—21no—
513C2×D4×C17—41no—
514C2×D4×C17C2×D411yescharacteristic
515C2×D4×C17C2411yescharacteristic
516C2×D4×C17C2411yescharacteristic
517C2×D4×C17C2411yescharacteristic
518C22×C4×C17—21no—
519C22×C4×C17—21no—
520C22×C4×C17—21no—
521C22×C4×C17—21no—
522C22×C4×C17C2411yescharacteristic
523C22×C4×C17C2411yescharacteristic
524C2×C22⋊D17—21no—
525C2×C22⋊D17—21no—
526C2×C22⋊D17—21no—
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—44no—
542C2×C22⋊D17—82no—
543C2×C22⋊D17C2×D411yescharacteristic
544C2×C22⋊D17C2×D411yescharacteristic
545C2×C22⋊D17C2×D411yescharacteristic
546C2×C22⋊D17C2×D411yescharacteristic
547C22×Dic17—21no—
548C22×Dic17C2×D411yescharacteristic
549#63256—22no—
550#63256—41no—
551#63256—41no—
552#63256—41no—
553D4×D17—22no—
554D4×D17—22no—
555D4×D17—22no—
556D4×D17—22no—
557D4×D17—22no—
558D4×D17—41no—
559D4×D17—41no—
560D4×D17—41no—
561D4×D17—41no—
562D4×D17—41no—
563D4×D17—41no—
564D4×D17—41no—
565D4×D17—41no—
566D4×D17—41no—
567D4×D17—44no—
568D4×D17—44no—
569D4×D17—44no—
570D4×D17—44no—
571D4×D17—82no—
572D4×D17—82no—
573D4×D17—82no—
574#63252—41no—
575#63252—41no—
576#63252—41no—
577#63252—41no—
578#63252—41no—
579#63252—41no—
580#63252—44no—
581#63252—82no—
582C2×D68—22no—
583C2×D68—22no—
584C2×D68—21no—
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—41no—
599C2×D68—41no—
600C2×D68—44no—
601C2×D68—82no—
602C2×D68—82no—
603C2×D68C2×D411yescharacteristic
604C2×D68C2×D411yescharacteristic
605C2×D68C2411yescharacteristic
606C2×D68C2411yescharacteristic
607C2×D68C2411yescharacteristic
608C2×D68C2411yescharacteristic
609C2×D68C2411yescharacteristic
610C2×C4×D17—21no—
611C2×C4×D17—21no—
612C2×C4×D17—21no—
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—41no—
620C2×C4×D17—41no—
621C2×C4×D17C2×D411yescharacteristic
622C2×C4×D17C2×D411yescharacteristic
623C2×C4×D17C2411yescharacteristic
624C2×C4×D17C2411yescharacteristic
625C2×C4×D17C2411yescharacteristic
626C2×Dic34—21no—
627C2×Dic34C2×D411yescharacteristic
628C2×Dic34C2411yescharacteristic
629SD16×C17—41no—
630D8×C17—22no—
631D8×C17—41no—
632M16×C17—41no—
633M16×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×C17—21no—
656C22⋊C4×C17C2×D411yescharacteristic
657C22⋊C4×C17C2×D411yescharacteristic
658C42×C17—21no—
659C42×C17C2411yescharacteristic
660C22⋊Dic17—21no—
661C22⋊Dic17—21no—
662C22⋊Dic17—21no—
663C22⋊Dic17—21no—
664C22⋊Dic17—21no—
665C22⋊Dic17C2×D411yescharacteristic
666C22⋊Dic17C2×D411yescharacteristic
667#63231—41no—
668#63230—41no—
669#63230—41no—
670#63229—22no—
671#63229—41no—
672#63228—22no—
673#63228—22no—
674#63228—22no—
675#63228—41no—
676#63228—41no—
677#63228—41no—
678#63228—41no—
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#63227—21no—
701#63227C2×D411yescharacteristic
702#63227C2×D411yescharacteristic
703#63227C2×D411yescharacteristic
704#63227C2×D411yescharacteristic
705#63227C2×D411yescharacteristic
706#63227C2×D411yescharacteristic
707C4⋊Dic17—21no—
708C4⋊Dic17—21no—
709C4⋊Dic17—21no—
710C4⋊Dic17C2×D411yescharacteristic
711C4⋊Dic17C2411yescharacteristic
712C4⋊Dic17C2411yescharacteristic
713#63225—21no—
714#63225—21no—
715#63225—21no—
716#63225—21no—
717#63225C2×D411yescharacteristic
718#63225C2×D411yescharacteristic
719#63225C2×D411yescharacteristic
720#63225C2×D411yescharacteristic
721C4×Dic17—21no—
722C4×Dic17—21no—
723C4×Dic17—21no—
724C4×Dic17C2411yescharacteristic
725#63223—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—
741C8×D17—41no—
742C8×D17—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—21no—
754C22×D17—24no—
755C22×D17—22no—
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—
794D4×C17—21no—
795D4×C17—21no—
796D4×C17—21no—
797D4×C17—21no—
798D4×C17—21no—
799D4×C17—41no—
800D4×C17—42no—
801D4×C17—42no—
802D4×C17—81no—
803D4×C17—81no—
804D4×C17—81no—
805D4×C17H(5,𝔽2)12yes—
806C2×C4×C17—21no—
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—42no—
816C2×C4×C17—81no—
817C2×C4×C17—81no—
818C2×C4×C17—81no—
819C2×C4×C17C22×D411yescharacteristic
820C2×C4×C17C22×D411yescharacteristic
821C2×C4×C17C22×D411yescharacteristic
822C2×C4×C17C22×D411yescharacteristic
823C2×C4×C17C2511yescharacteristic
824C22⋊D17—24no—
825C22⋊D17—22no—
826C22⋊D17—41no—
827C22⋊D17—41no—
828C22⋊D17—41no—
829C22⋊D17—42no—
830C22⋊D17—42no—
831C22⋊D17—42no—
832C22⋊D17—42no—
833C22⋊D17—42no—
834C22⋊D17—81no—
835C22⋊D17—81no—
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—
845C2×Dic17—21no—
846C2×Dic17—21no—
847C2×Dic17—21no—
848C2×Dic17—41no—
849C2×Dic17—81no—
850C2×Dic17C22×D411yescharacteristic
851C2×Dic17C22×D411yescharacteristic
852C2×Dic17C22×D411yescharacteristic
853C2×Dic17C22×D411yescharacteristic
854C2×Dic17C22×D411yescharacteristic
855D68—22no—
856D68—21no—
857D68—21no—
858D68—21no—
859D68—21no—
860D68—21no—
861D68—21no—
862D68—21no—
863D68—21no—
864D68—21no—
865D68—41no—
866D68—42no—
867D68—42no—
868D68—42no—
869D68—42no—
870D68—42no—
871D68—42no—
872D68—81no—
873D68—81no—
874D68—81no—
875D68—81no—
876D68—81no—
877D68—81no—
878D68—81no—
879D68—81no—
880D68H(5,𝔽2)12yes—
881C4×D17—21no—
882C4×D17—21no—
883C4×D17—21no—
884C4×D17—21no—
885C4×D17—21no—
886C4×D17—21no—
887C4×D17—41no—
888C4×D17—41no—
889C4×D17—42no—
890C4×D17—42no—
891C4×D17—42no—
892C4×D17—81no—
893C4×D17—81no—
894C4×D17—81no—
895C4×D17—81no—
896C4×D17—81no—
897C4×D17—81no—
898Dic34—21no—
899Dic34—21no—
900Dic34—41no—
901Dic34—81no—
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#3322D1711yescharacteristic, complemented
914#3319—171no—
915#3318—171no—
916#3310—171no—
917#3306—171no—
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—21no—
948C22×C17—41no—
949C22×C17—41no—
950C22×C17—41no—
951C22×C17—41no—
952C22×C17—41no—
953C22×C17—41no—
954C22×C17—41no—
955C22×C17—41no—
956C22×C17—84no—
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—44no—
968C2×D17—41no—
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—84no—
983C2×D17—84no—
984C2×D17—84no—
985C2×D17—84no—
986C2×D17—84no—
987C2×D17—162no—
988C2×D17—162no—
989C2×D17—162no—
990C2×D17—162no—
991C2×D17#57612yes—
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#553C2×D1711yescharacteristic, complemented
1025#552—171no—
1026#551—341no—
1027#550—171no—
1028#547—171no—
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#489—171no—
1070#488C2×D1711yescharacteristic, complemented
1071#486—171no—
1072#485—171no—
1073#485C2×D1711yescharacteristic, complemented
1074#483—171no—
1075#482—171no—
1076#482—171no—
1077#482—171no—
1078#482—171no—
1079#482—171no—
1080#482—171no—
1081#481—171no—
1082#480—171no—
1083#480C2×D1711yescharacteristic, complemented
1084#478—171no—
1085#478C2×D1711yescharacteristic, complemented
1086#476—171no—
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#468C2×D1711yescharacteristic, complemented
1096#467—171no—
1097#466—171no—
1098#466—171no—
1099#466—171no—
1100#466—171no—
1101#465—171no—
1102#465—171no—
1103#465—171no—
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#442—171no—
1155#440—171no—
1156C4×SD16—171no—
1157C4×D8—171no—
1158C4×D8—171no—
1159C4×D8C2×D1711yescharacteristic, complemented
1160#436—171no—
1161#436C2×D1711yescharacteristic, complemented
1162#435—171no—
1163#435—171no—
1164#435—171no—
1165#435—171no—
1166C8×D4—171no—
1167C8×D4—171no—
1168#433—171no—
1169#433—171no—
1170#418—171no—
1171#418—171no—
1172#418C2×D1711yescharacteristic, complemented
1173#417C2×D1711yescharacteristic, complemented
1174#416—171no—
1175C2×#102—171no—
1176C2×#102—171no—
1177C2×#102—171no—
1178#408—171no—
1179#408—171no—
1180#407—171no—
1181C2×C22⋊C8—171no—
1182C2×C17—41no—
1183C2×C17—42no—
1184C2×C17—41no—
1185C2×C17—81no—
1186C2×C17—81no—
1187C2×C17#348411yescharacteristic
1188C2×C17C2×#57611yescharacteristic
1189C2×C17#358511yescharacteristic
1190D17—22no—
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—171no—
1202C2×#41—171no—
1203C2×#41—171no—
1204C2×#41—171no—
1205C2×#41—171no—
1206C2×#41—341no—
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×M16C22×D1711yescharacteristic
1269C2×M16C22×D1711yescharacteristic, complemented
1270C22×C8—171no—
1271C22×C8—171no—
1272C22×C8—171no—
1273C22×C8—171no—
1274C4⋊Q8—171no—
1275#127—171no—
1276#127—171no—
1277#127—171no—
1278#127—341no—
1279#127—341no—
1280#127—341no—
1281#126—21no—
1282#126—341no—
1283#126—341no—
1284#125—341no—
1285#125C22×D1711yescharacteristic, complemented
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—171no—
1297#123—171no—
1298#123—341no—
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—171no—
1312C22⋊Q8—171no—
1313C22⋊Q8—171no—
1314C22⋊Q8—171no—
1315C22⋊Q8—171no—
1316C22⋊Q8—171no—
1317C22⋊Q8—341no—
1318C22⋊Q8—341no—
1319C22⋊Q8—341no—
1320C22⋊Q8C22×D1711yescharacteristic
1321#121—21no—
1322#121—21no—
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—171no—
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—21no—
1390C4×D4—171no—
1391C4×D4—171no—
1392C4×D4—171no—
1393C4×D4—171no—
1394C4×D4—171no—
1395C4×D4—171no—
1396C4×D4—171no—
1397C4×D4—171no—
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—341no—
1412#117—341no—
1413#117C22×D1711yescharacteristic
1414C2×C4⋊C4—171no—
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#107C22×D1711yescharacteristic, complemented
1428#107C22×D1711yescharacteristic, complemented
1429#106—171no—
1430#106—171no—
1431#106—171no—
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#97—171no—
1483C4×C8—171no—
1484C4×C8C22×D1711yescharacteristic, complemented
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—342no—
1503#41—681no—
1504#41—681no—
1505#41—681no—
1506#41—681no—
1507#41—681no—
1508#41—681no—
1509#41—684no—
1510#41—681no—
1511#41—681no—
1512#41—681no—
1513#41—1362no—
1514C2×Q8—171no—
1515C2×Q8—171no—
1516C2×Q8—341no—
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—342no—
1556C2×D4—342no—
1557C2×D4—342no—
1558C2×D4—342no—
1559C2×D4—342no—
1560C2×D4—341no—
1561C2×D4—341no—
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—684no—
1577C2×D4—681no—
1578C2×D4—681no—
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—171no—
1606C22×C4—171no—
1607C22×C4—171no—
1608C22×C4—171no—
1609C22×C4—171no—
1610C22×C4—171no—
1611C22×C4—341no—
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—41no—
1651M16—681no—
1652M16—681no—
1653C2×C8—171no—
1654C2×C8—171no—
1655C2×C8—171no—
1656C2×C8—171no—
1657C2×C8—681no—
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—21no—
1697C22⋊C4—171no—
1698C22⋊C4—171no—
1699C22⋊C4—171no—
1700C22⋊C4—171no—
1701C22⋊C4—171no—
1702C22⋊C4—171no—
1703C22⋊C4—171no—
1704C22⋊C4—171no—
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—21no—
1735C42—171no—
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—342no—
1750C23—344no—
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—341no—
1790Q8—341no—
1791Q8—681no—
1792Q8—1361no—
1793D4—21no—
1794D4—21no—
1795D4—21no—
1796D4—21no—
1797D4—21no—
1798D4—41no—
1799D4—42no—
1800D4—42no—
1801D4—81no—
1802D4—81no—
1803D4—81no—
1804D4—172no—
1805D4—342no—
1806D4—342no—
1807D4—344no—
1808D4—341no—
1809D4—341no—
1810D4—341no—
1811D4—341no—
1812D4—341no—
1813D4—341no—
1814D4—341no—
1815D4—341no—
1816D4—341no—
1817D4—681no—
1818D4—682no—
1819D4—682no—
1820D4—682no—
1821D4—682no—
1822D4—682no—
1823D4—682no—
1824D4—681no—
1825D4—681no—
1826D4—681no—
1827D4—682no—
1828D4—682no—
1829D4—682no—
1830D4—682no—
1831D4—682no—
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—81no—
1863C2×C4—81no—
1864C2×C4—81no—
1865C2×C4—171no—
1866C2×C4—171no—
1867C2×C4—171no—
1868C2×C4—171no—
1869C2×C4—171no—
1870C2×C4—341no—
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—681no—
1880C2×C4—681no—
1881C2×C4—682no—
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—22no—
1908C22—21no—
1909C22—21no—
1910C22—21no—
1911C22—21no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—41no—
1920C22—84no—
1921C22—2722no—
1922C22—2722no—
1923C22—2722no—
1924C22—2722no—
1925C22—172no—
1926C22—341no—
1927C22—341no—
1928C22—341no—
1929C22—341no—
1930C22—342no—
1931C22—341no—
1932C22—341no—
1933C22—341no—
1934C22—341no—
1935C22—684no—
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—681no—
1950C22—1364no—
1951C22—1364no—
1952C22—1364no—
1953C22—1364no—
1954C22—1364no—
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—41no—
1976C2—41no—
1977C2—42no—
1978C2—81no—
1979C2—81no—
1980C2—342no—
1981C2—681no—
1982C2—682no—
1983C2—681no—
1984C2—1361no—
1985C2—1361no—
1986C2—1361no—
1987C2—1361no—
1988C2#1454241411yescharacteristic
1989C2D17×#57611yescharacteristic
1990C2#1454356111yescharacteristic
subgroupG/H
centerC22C22×D4×D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC17×#3322C2
socleC22×C17C23×D4
hypercenter#3322D17
hypocenterC17#61609
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3322

Complements

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

NH ≅ G/Ntype
1. #14543103C2semidirect
2. #14542414C2semidirect
3. #14541022C2semidirect
4. #14540943C2semidirect
5. #14540919C2semidirect
6. #14540802C2semidirect
7. #14540746C2semidirect
8. #14540618C2semidirect
9. #14540595C2semidirect
10. #14540467C2semidirect
11. D8×D68C2semidirect
12. #14540406C2semidirect
13. #14540392C2semidirect
14. #14540320C2semidirect
15. #14540271C2semidirect
16. #14540270C2semidirect
17. #14540262C2semidirect
18. #14539877C2semidirect
19. #14539837C2semidirect
20. #14539646C2semidirect
21. #14539643C2semidirect
22. #14539599C2semidirect
23. #14539579C2semidirect
24. #14539029C2semidirect
25. #14538964C2semidirect
26. #14538090C2semidirect
27. #14538049C2semidirect
28. #14538013C2semidirect
29. D17×#447C2semidirect
30. #14537828C2semidirect
31. C17×#3322C2semidirect
32. C2×#10587696C22semidirect
33. C22×D4×D17C22semidirect
34. C2×#10587594C22semidirect
35. C2×#10587594C22semidirect
36. C2×#10587600C22semidirect
37. C2×#10587618C22semidirect
38. C2×#10587636C22semidirect
39. C2×D8×D17C22semidirect
40. C2×D8×D17C22semidirect
41. C2×D8×D17C22semidirect
44. #11763522C22semidirect
45. #11763497C22semidirect
47. #11763480C22semidirect
48. #11763460C22semidirect
49. #11763456C22semidirect
50. #11763456C22semidirect
54. #11763450C22semidirect
56. #11763447C22semidirect
58. D4×D68C22semidirect
59. D4×D68C22semidirect
61. #11763443C22semidirect
62. D4×C22⋊D17C22semidirect
64. #11763424C22semidirect
65. #11763415C22semidirect
68. #11763390C22semidirect
69. #11763377C22semidirect
71. #11763375C22semidirect
72. #11763375C22semidirect
76. #11763322C22semidirect
77. #11763321C22semidirect
79. #121×D17C22semidirect
82. #11763281C22semidirect
83. #11763199C22semidirect
84. #11763197C22semidirect
85. #11763190C22semidirect
86. #11763186C22semidirect
87. #11763175C22semidirect
88. #11763170C22semidirect
89. #11763154C22semidirect
90. #11763152C22semidirect
91. #11763138C22semidirect
92. #11763136C22semidirect
93. #11763135C22semidirect
94. #11763135C22semidirect
95. #11763133C22semidirect
96. #11763132C22semidirect
97. #11763132C22semidirect
98. #11763127C22semidirect
99. #11763124C22semidirect
100. #11763106C22semidirect
101. #11763097C22semidirect
102. #11763088C22semidirect
103. #11763062C22semidirect
104. #11763062C22semidirect
105. #11763061C22semidirect
106. #11763060C22semidirect
107. #11763057C22semidirect
108. #11763056C22semidirect
109. #11763049C22semidirect
110. #11763046C22semidirect
111. #11763046C22semidirect
112. #11763043C22semidirect
113. #11763043C22semidirect
114. #11763041C22semidirect
115. #11763039C22semidirect
116. #11763037C22semidirect
117. #11763028C22semidirect
118. #11763027C22semidirect
119. #11763027C22semidirect
120. #11763023C22semidirect
121. #11763022C22semidirect
122. #11763010C22semidirect
123. #11763005C22semidirect
124. #11763004C22semidirect
125. #11763004C22semidirect
126. #11763003C22semidirect
127. #11763003C22semidirect
128. #11762974C22semidirect
129. #11762974C22semidirect
130. #11762969C22semidirect
131. #11762961C22semidirect
132. #11762961C22semidirect
133. #11762961C22semidirect
134. #11762961C22semidirect
135. #11762961C22semidirect
136. #11762958C22semidirect
137. #11762957C22semidirect
138. #11762957C22semidirect
139. #11762957C22semidirect
140. #11762956C22semidirect
141. #11762956C22semidirect
142. #11762954C22semidirect
143. #11762953C22semidirect
144. #11762952C22semidirect
145. #11762945C22semidirect
146. #11762945C22semidirect
147. #11762944C22semidirect
148. #11762944C22semidirect
149. #11762944C22semidirect
150. #11762944C22semidirect
151. #11762944C22semidirect
152. #11762944C22semidirect
153. #11762944C22semidirect
154. #11762944C22semidirect
155. #11762944C22semidirect
156. #11762943C22semidirect
157. #11762942C22semidirect
158. #11762942C22semidirect
160. #11762941C22semidirect
161. #11762941C22semidirect
162. #11762920C22semidirect
163. #11762919C22semidirect
164. #11762918C22semidirect
165. #11762909C22semidirect
166. C4×#63219C22semidirect
167. #11762891C22semidirect
168. #11762889C22semidirect
169. #11762885C22semidirect
170. #11762883C22semidirect
171. #11762881C22semidirect
172. #11762879C22semidirect
173. #11762878C22semidirect
174. C8×D68C22semidirect
175. #11762872C22semidirect
176. #11762869C22semidirect
177. #11762868C22semidirect
178. #11762813C22semidirect
179. #11762812C22semidirect
180. #11762804C22semidirect
181. C2×#10587480C22semidirect
182. #102×D17C22semidirect
183. #102×D17C22semidirect
184. #11762777C22semidirect
185. #11762774C22semidirect
186. #11762772C22semidirect
187. C22⋊C8×D17C22semidirect
188. C17×#553C22semidirect
189. C17×#546C22semidirect
190. C17×#488C22semidirect
191. C17×#485C22semidirect
192. C17×#480C22semidirect
193. C17×#478C22semidirect
194. C17×#469C22semidirect
195. C17×#468C22semidirect
196. C17×#463C22semidirect
197. C17×#449C22semidirect
198. C17×#447C22semidirect
199. C4×D8×C17C22semidirect
200. C17×#436C22semidirect
201. C17×#418C22semidirect
202. C17×#417C22semidirect
227. C2×D4×D17C23semidirect
232. C2×#63252C23semidirect
239. C2×SD16×C17C23semidirect
243. C2×M16×C17C23semidirect
245. C17×#125C23semidirect
254. C17×#121C23semidirect
259. C4×D4×C17C23semidirect
261. C2×C4⋊C4×C17C23semidirect
267. C2×#63231C23semidirect
268. C2×#63230C23semidirect
269. C2×#63230C23semidirect
290. #10587622C23semidirect
301. C2×#63228C23semidirect
309. #10587616C23semidirect
320. C22×#3622C23semidirect
331. C2×D136C23semidirect
332. C2×D136C23semidirect
335. C2×#63219C23semidirect
336. C2×#63218C23semidirect
339. C2×C8×D17C23semidirect
344. #10587583C23semidirect
357. #10587581C23semidirect
368. #10587579C23semidirect
369. #10587579C23semidirect
372. #10587578C23semidirect
375. #10587574C23semidirect
422. #10587560C23semidirect
429. C4×Dic34C23semidirect
430. C17×#107C23semidirect
431. C17×#107C23semidirect
432. C17×#106C23semidirect
433. C17×C4⋊C8C23semidirect
434. C17×#103C23semidirect
435. C17×#103C23semidirect
436. C17×#103C23semidirect
443. C17×#102C23semidirect
445. C17×C22⋊C8C23semidirect
446. C4×C8×C17C23semidirect
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. #10587479C23semidirect
485. #10587479C23semidirect
486. #10587478C23semidirect
487. #10587478C23semidirect
488. C4⋊#3622C23semidirect
489. #10587474C23semidirect
913. #3322D17semidirect
1024. #553C2×D17semidirect
1037. #546C2×D17semidirect
1070. #488C2×D17semidirect
1073. #485C2×D17semidirect
1083. #480C2×D17semidirect
1085. #478C2×D17semidirect
1092. #469C2×D17semidirect
1095. #468C2×D17semidirect
1109. #463C2×D17semidirect
1133. #449C2×D17semidirect
1151. #447C2×D17semidirect
1159. C4×D8C2×D17semidirect
1161. #436C2×D17semidirect
1172. #418C2×D17semidirect
1173. #417C2×D17semidirect
1247. C2×SD16C22×D17semidirect
1269. C2×M16C22×D17semidirect
1285. #125C22×D17semidirect
1361. #121C22×D17semidirect
1407. C4×D4C22×D17semidirect
1415. C2×C4⋊C4C22×D17semidirect
1427. #107C22×D17semidirect
1428. #107C22×D17semidirect
1432. #106C22×D17semidirect
1436. C4⋊C8C22×D17semidirect
1440. #103C22×D17semidirect
1441. #103C22×D17semidirect
1442. #103C22×D17semidirect
1468. #102C22×D17semidirect
1480. C22⋊C8C22×D17semidirect
1484. C4×C8C22×D17semidirect
1485. C17#61609semidirect

Maximal subgroups

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

subgroupindex
#145431032
#145424142
#145410222
#145409432
#145409192
#145408022
#145407462
#145406182
#145405952
#145404672
D8×D682
#145404062
#145403922
#145403202
#145402712
#145402702
#145402622
#145398772
#145398372
#145396462
#145396432
#145395992
#145395792
#145390292
#145389642
#145380902
#145380492
#145380132
D17×#4472
#145378282
C17×#33222
#6160917