Finite Group Databasebeta

← #17911298

Subgroups — #17911298

Order 4352.

2572 conjugacy classes of subgroups.

The subgroup lattice has 1976 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542343C211yesmaximal, characteristic, complemented
2D42×D17C211yesmaximal, characteristic, complemented
3#14541021C211yesmaximal, characteristic, complemented
4#14541019C211yesmaximal, characteristic, complemented
5#14541013C211yesmaximal, characteristic, complemented
6#14541011C211yesmaximal, characteristic, complemented
7#14540932C211yesmaximal, characteristic, complemented
8#14540930C211yesmaximal, characteristic, complemented
9#14540919C211yesmaximal, characteristic, complemented
10#14540807C211yesmaximal, characteristic, complemented
11#14540805C211yesmaximal, characteristic, complemented
12#14540804C211yesmaximal, characteristic, complemented
13#14540802C211yesmaximal, characteristic, complemented
14#14540606C211yesmaximal, characteristic, complemented
15#14540604C211yesmaximal, characteristic, complemented
16#14540592C211yesmaximal, characteristic, complemented
17#14540590C211yesmaximal, characteristic, complemented
18#14539157C211yesmaximal, characteristic, complemented
19#14538723C211yesmaximal, characteristic, complemented
20#14538721C211yesmaximal, characteristic, complemented
21#14538579C211yesmaximal, characteristic, complemented
22#14538402C211yesmaximal, characteristic, complemented
23#14538400C211yesmaximal, characteristic, complemented
24#14538259C211yesmaximal, characteristic, complemented
25#14538008C211yesmaximal, characteristic, complemented
26#14538008C211yesmaximal, characteristic, complemented
27#14537595C211yesmaximal, characteristic, complemented
28#14537517C211yesmaximal, characteristic, complemented
29C2×#11762812C211yesmaximal, characteristic, complemented
30D17×#418C211yesmaximal, characteristic, complemented
31C17×#3318C211yesmaximal, characteristic, complemented
32C22×D4×D17—21no—
33C22×D4×D17C2211yescharacteristic
34C22×D4×D17C2211yescharacteristic
35C2×#10587597C2211yescharacteristic
36C2×#10587597C2211yescharacteristic, complemented
37C2×#10587597C2211yescharacteristic, complemented
38C22×#63218C2211yescharacteristic, complemented
39C2×M16×D17C2211yescharacteristic, complemented
40#11763527C2211yescharacteristic, complemented
41#11763523C2211yescharacteristic, complemented
42#11763514C2211yescharacteristic, complemented
43#11763509C2211yescharacteristic, complemented
44#11763499C2211yescharacteristic, complemented
45#11763497C2211yescharacteristic, complemented
46#11763495—21no—
47#11763488—21no—
48#11763487—21no—
49#11763459C2211yescharacteristic, complemented
50#11763448—21no—
51D4×D68C2211yescharacteristic
52D4×D68C2211yescharacteristic
53#11763444C2211yescharacteristic
54#11763443—21no—
55#11763443C2211yescharacteristic
56#11763443C2211yescharacteristic
57D4×C22⋊D17—21no—
58D4×C22⋊D17C2211yescharacteristic
59D4×C22⋊D17C2211yescharacteristic
60#11763441—21no—
61#11763441—21no—
62#11763365C2211yescharacteristic, complemented
63#127×D17C2211yescharacteristic
64#11763342—21no—
65#11763340—21no—
66#11763336—21no—
67#11763319C2211yescharacteristic, complemented
68#11763319C2211yescharacteristic, complemented
69#121×D17—21no—
70#121×D17C2211yescharacteristic
71#121×D17C2211yescharacteristic
72#120×D17—21no—
73#120×D17—21no—
74C4×#63254—21no—
75C4×#63254C2211yescharacteristic, complemented
76C4×D4×D17C2211yescharacteristic
77C4×D4×D17C2211yescharacteristic
78C2×#10587578C2211yescharacteristic, complemented
79#117×D17C2211yescharacteristic, complemented
80#11763175C2211yescharacteristic, complemented
81#11763174C2211yescharacteristic, complemented
82#11763173C2211yescharacteristic, complemented
83#11763154C2211yescharacteristic, complemented
84#11763154C2211yescharacteristic, complemented
85#11763154C2211yescharacteristic, complemented
86#11763154C2211yescharacteristic, complemented
87#11763135C2211yescharacteristic, complemented
88#11763135C2211yescharacteristic, complemented
89#11763134C2211yescharacteristic, complemented
90#11763133C2211yescharacteristic, complemented
91#11763131C2211yescharacteristic, complemented
92#11763131C2211yescharacteristic, complemented
93#11763130C2211yescharacteristic, complemented
94#11763129C2211yescharacteristic, complemented
95#11763127C2211yescharacteristic, complemented
96#11763126C2211yescharacteristic, complemented
97#11763124C2211yescharacteristic, complemented
98#11763123C2211yescharacteristic, complemented
99#11763121C2211yescharacteristic, complemented
100#11763120C2211yescharacteristic, complemented
101#11763110C2211yescharacteristic, complemented
102#11763109C2211yescharacteristic, complemented
103#11763106C2211yescharacteristic, complemented
104#11763098C2211yescharacteristic, complemented
105#11763097C2211yescharacteristic, complemented
106#11763088C2211yescharacteristic, complemented
107#11763087C2211yescharacteristic, complemented
108#11763061C2211yescharacteristic, complemented
109#11763060C2211yescharacteristic, complemented
110#11763059C2211yescharacteristic, complemented
111#11763056C2211yescharacteristic, complemented
112#11763055C2211yescharacteristic, complemented
113#11763054C2211yescharacteristic, complemented
114#11763053C2211yescharacteristic, complemented
115#11763044C2211yescharacteristic, complemented
116#11763043C2211yescharacteristic, complemented
117#11763042C2211yescharacteristic, complemented
118#11763039C2211yescharacteristic, complemented
119#11763038C2211yescharacteristic, complemented
120#11763037C2211yescharacteristic, complemented
121#11763036C2211yescharacteristic, complemented
122#11763010C2211yescharacteristic, complemented
123#11763008C2211yescharacteristic, complemented
124#11763008C2211yescharacteristic, complemented
125#11763006C2211yescharacteristic, complemented
126#11763004C2211yescharacteristic, complemented
127#11763002C2211yescharacteristic, complemented
128#11763002C2211yescharacteristic, complemented
129#11762962C2211yescharacteristic, complemented
130#11762962C2211yescharacteristic, complemented
131#11762961C2211yescharacteristic, complemented
132#11762961C2211yescharacteristic, complemented
133#11762961C2211yescharacteristic, complemented
134#11762961C2211yescharacteristic, complemented
135#11762960C2211yescharacteristic, complemented
136#11762960C2211yescharacteristic, complemented
137#11762942C2211yescharacteristic, complemented
138#11762942C2211yescharacteristic, complemented
139#11762941C2211yescharacteristic, complemented
140#11762941C2211yescharacteristic, complemented
141#11762941C2211yescharacteristic, complemented
142#11762941C2211yescharacteristic, complemented
143#11762919C2211yescharacteristic, complemented
144#11762911C2211yescharacteristic, complemented
145#11762909C2211yescharacteristic, complemented
146#11762900C2211yescharacteristic, complemented
147#11762896C2211yescharacteristic, complemented
148D8×Dic17C2211yescharacteristic, complemented
149#11762889C2211yescharacteristic, complemented
150#11762885C2211yescharacteristic, complemented
151#11762884C2211yescharacteristic, complemented
152#11762882C2211yescharacteristic, complemented
153#11762881C2211yescharacteristic, complemented
154#11762879C2211yescharacteristic, complemented
155C8×C22⋊D17C2211yescharacteristic, complemented
156#11762872C2211yescharacteristic, complemented
157#11762850C2211yescharacteristic, complemented
158#11762848C2211yescharacteristic, complemented
159#11762848C2211yescharacteristic, complemented
160#11762831C2211yescharacteristic, complemented
161#11762815C2211yescharacteristic, complemented
162#11762814C2211yescharacteristic, complemented
163#11762813C2211yescharacteristic, complemented
164#11762812C2211yescharacteristic
165#11762812C2211yescharacteristic
166#11762812C2211yescharacteristic
167#11762812C2211yescharacteristic, complemented
168#11762812C2211yescharacteristic, complemented
169#11762812C2211yescharacteristic, complemented
170#11762812C2211yescharacteristic, complemented
171#11762812C2211yescharacteristic, complemented
172#11762812C2211yescharacteristic, complemented
173#11762812C2211yescharacteristic, complemented
174#11762812C2211yescharacteristic, complemented
175#11762812C2211yescharacteristic, complemented
176#11762812C2211yescharacteristic, complemented
177#11762807C2211yescharacteristic, complemented
178C2×#10587492C2211yescharacteristic, complemented
179C2×#10587503C2211yescharacteristic, complemented
180C2×#10587480C2211yescharacteristic, complemented
181#102×D17C2211yescharacteristic, complemented
182#102×D17C2211yescharacteristic, complemented
183#102×D17C2211yescharacteristic, complemented
184#102×D17C2211yescharacteristic, complemented
185#11762771C2211yescharacteristic, complemented
186#11762771C2211yescharacteristic, complemented
187#11762761C2211yescharacteristic, complemented
188C17×#553C2211yescharacteristic, complemented
189D42×C17C2211yescharacteristic
190C17×#490C2211yescharacteristic, complemented
191C17×#482C2211yescharacteristic, complemented
192C17×#481C2211yescharacteristic, complemented
193C17×#478C2211yescharacteristic, complemented
194C17×#469C2211yescharacteristic, complemented
195C17×#466C2211yescharacteristic, complemented
196C17×#459C2211yescharacteristic, complemented
197C17×#447C2211yescharacteristic, complemented
198C17×#447C2211yescharacteristic, complemented
199C17×#442C2211yescharacteristic, complemented
200C17×#435C2211yescharacteristic, complemented
201C17×#418C2211yescharacteristic, complemented
202C2×C17×#102C2211yescharacteristic, complemented
203C24×D17—21no—
204C24×D17—21no—
205C22×D4×C17—21no—
206C22×D4×C17C2311yescharacteristic
207C22×D4×C17C2311yescharacteristic
208C22×C22⋊D17—21no—
209C22×C22⋊D17—21no—
210C22×C22⋊D17—21no—
211C22×C22⋊D17—21no—
212C2×#63254—21no—
213C2×#63254C2311yescharacteristic
214C2×D4×D17—24no—
215C2×D4×D17—24no—
216C2×D4×D17—21no—
217C2×D4×D17—21no—
218C2×D4×D17—21no—
219C2×D4×D17—21no—
220C2×D4×D17—21no—
221C2×D4×D17—21no—
222C2×D4×D17—21no—
223C2×D4×D17—21no—
224C2×D4×D17—21no—
225C2×D4×D17—21no—
226C2×D4×D17—21no—
227C2×D4×D17—21no—
228C2×D4×D17—42no—
229C2×D4×D17—42no—
230C2×D4×D17—48no—
231C2×D4×D17D411yescharacteristic
232C2×D4×D17C2311yescharacteristic
233C2×D4×D17C2311yescharacteristic
234C2×D4×D17C2311yescharacteristic
235C2×D4×D17C2311yescharacteristic
236C2×D4×D17C2311yescharacteristic
237C2×D4×D17C2311yescharacteristic
238C2×D4×D17C2311yescharacteristic
239C22×D68—21no—
240C22×D68C2311yescharacteristic
241C22×D68C2311yescharacteristic
242C22×C4×D17—21no—
243C22×C4×D17C2311yescharacteristic
244C22×C4×D17C2311yescharacteristic
245C2×D8×C17C2311yescharacteristic
246C2×D8×C17C2311yescharacteristic, complemented
247C2×D8×C17C2311yescharacteristic, complemented
248C2×M16×C17C2311yescharacteristic, complemented
249C22×C8×C17C2311yescharacteristic, complemented
250C17×#127C2311yescharacteristic
251C17×#126—21no—
252C17×#125C2311yescharacteristic, complemented
253C17×#123—21no—
254C17×#121—21no—
255C17×#121—21no—
256C17×#121C2311yescharacteristic
257C17×#121C2311yescharacteristic
258C17×#121C2311yescharacteristic, complemented
259C17×#121C2311yescharacteristic, complemented
260C17×#120—21no—
261C17×#120—21no—
262C4×D4×C17—21no—
263C4×D4×C17C2311yescharacteristic
264C4×D4×C17C2311yescharacteristic
265C4×D4×C17C2311yescharacteristic, complemented
266C17×#117C2311yescharacteristic, complemented
267C2×C4⋊C4×C17C2311yescharacteristic, complemented
268#10587639—21no—
269#10587639—21no—
270#10587626—21no—
271#10587626—21no—
272#10587626C2311yescharacteristic
273#10587626C2311yescharacteristic
274#10587625—21no—
275#10587625—21no—
276#10587625—21no—
277#10587625—21no—
278#10587625—21no—
279#10587624—21no—
280#10587624C2311yescharacteristic
281#10587624C2311yescharacteristic
282#10587624C2311yescharacteristic, complemented
283#10587624C2311yescharacteristic, complemented
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#10587622—21no—
293#10587621—21no—
294#10587621—21no—
295D4×Dic17—21no—
296D4×Dic17—21no—
297D4×Dic17D411yescharacteristic
298D4×Dic17C2311yescharacteristic
299D4×Dic17C2311yescharacteristic, complemented
300C2×#63229C2311yescharacteristic
301C2×#63229C2311yescharacteristic, complemented
302C2×#63229C2311yescharacteristic, complemented
303C2×#63228C2311yescharacteristic
304C2×#63228C2311yescharacteristic, complemented
305C2×#63228C2311yescharacteristic, complemented
306#10587616—21no—
307#10587616C2311yescharacteristic
308#10587616C2311yescharacteristic
309#10587615—21no—
310C4×C22⋊D17—21no—
311C4×C22⋊D17—21no—
312C4×C22⋊D17—21no—
313C4×C22⋊D17—21no—
314C4×C22⋊D17C2311yescharacteristic
315C4×C22⋊D17C2311yescharacteristic
316C2×#63227—21no—
317#10587612C2311yescharacteristic, complemented
318C2×C4⋊Dic17C2311yescharacteristic, complemented
319#10587610—21no—
320#10587610C2311yescharacteristic, complemented
321#10587610C2311yescharacteristic, complemented
322C2×C4×Dic17—21no—
323C2×C4×Dic17—21no—
324C2×#63223C2311yescharacteristic, complemented
325C22×#3622C2311yescharacteristic, complemented
326#10587597—24no—
327#10587597—42no—
328#10587597—42no—
329M16×D17—42no—
330C2×#63219C2311yescharacteristic
331C2×#63219C2311yescharacteristic, complemented
332C2×#63219C2311yescharacteristic, complemented
333C2×#63218—42no—
334C2×#63218C2311yescharacteristic
335C2×#63218C2311yescharacteristic
336C2×#63218C2311yescharacteristic
337C2×#63218C2311yescharacteristic
338C2×#63218C2311yescharacteristic, complemented
339C2×#63218C2311yescharacteristic, complemented
340C2×C8×D17C2311yescharacteristic, complemented
341C2×C8×D17C2311yescharacteristic, complemented
342#10587584—21no—
343#10587583C2311yescharacteristic, complemented
344#10587583C2311yescharacteristic, complemented
345#10587582—21no—
346#10587582—21no—
347#10587582—21no—
348#10587581—21no—
349#10587581C2311yescharacteristic
350#10587581C2311yescharacteristic
351#10587580—21no—
352#10587579D411yescharacteristic
353#10587579C2311yescharacteristic
354#10587578—21no—
355#10587578—21no—
356#10587578—21no—
357#10587578C2311yescharacteristic
358#10587578C2311yescharacteristic
359#10587578C2311yescharacteristic
360#10587578C2311yescharacteristic, complemented
361#10587578C2311yescharacteristic, complemented
362C4⋊C4×D17D411yescharacteristic
363C4⋊C4×D17C2311yescharacteristic
364C4⋊C4×D17C2311yescharacteristic, complemented
365C4⋊C4×D17C2311yescharacteristic, complemented
366#10587576—21no—
367#10587575—21no—
368#10587575—21no—
369#10587574C2311yescharacteristic, complemented
370#10587574C2311yescharacteristic, complemented
371#10587573—21no—
372#10587573—21no—
373#10587573C2311yescharacteristic, complemented
374#10587571—21no—
375#10587571—21no—
376#10587570—21no—
377#10587570—21no—
378#10587570—21no—
379#10587570—21no—
380#10587570—21no—
381#10587569—21no—
382#10587569—21no—
383#10587569—21no—
384#10587568—21no—
385#10587568—21no—
386#10587568—21no—
387#10587568—21no—
388#10587568—21no—
389#10587568—21no—
390#10587567—21no—
391#10587567—21no—
392#10587567—21no—
393#10587567—21no—
394#10587567D411yescharacteristic
395#10587567D411yescharacteristic
396C22⋊C4×D17—21no—
397C22⋊C4×D17—21no—
398C22⋊C4×D17—21no—
399C22⋊C4×D17—21no—
400C22⋊C4×D17D411yescharacteristic
401C22⋊C4×D17D411yescharacteristic
402#10587565—21no—
403#10587565—21no—
404#10587565—21no—
405#10587564—21no—
406#10587563—21no—
407#10587563—21no—
408#10587563—21no—
409#10587563—21no—
410#10587562—21no—
411#10587560C2311yescharacteristic
412C4×D68C2311yescharacteristic
413C4×D68C2311yescharacteristic
414#10587558—21no—
415C42×D17—21no—
416C42×D17C2311yescharacteristic
417#10587556C2311yescharacteristic, complemented
418C4×Dic34—21no—
419C4×Dic34C2311yescharacteristic, complemented
420C17×#107C2311yescharacteristic, complemented
421C17×#106C2311yescharacteristic, complemented
422C17×#106C2311yescharacteristic, complemented
423C17×C4⋊C8C2311yescharacteristic, complemented
424C17×#102C2311yescharacteristic
425C17×#102C2311yescharacteristic
426C17×#102C2311yescharacteristic
427C17×#102C2311yescharacteristic, complemented
428C17×#102C2311yescharacteristic, complemented
429C17×#102C2311yescharacteristic, complemented
430C17×#102C2311yescharacteristic, complemented
431C17×#102C2311yescharacteristic, complemented
432C17×#102C2311yescharacteristic, complemented
433C17×#102C2311yescharacteristic, complemented
434C17×C22⋊C8C2311yescharacteristic, complemented
435C17×C22⋊C8C2311yescharacteristic, complemented
436C17×#97C2311yescharacteristic, complemented
437#10587503C2311yescharacteristic
438#10587503C2311yescharacteristic
439#10587503C2311yescharacteristic
440#10587503C2311yescharacteristic, complemented
441#10587503C2311yescharacteristic, complemented
442#10587503C2311yescharacteristic, complemented
443#10587503C2311yescharacteristic, complemented
444#10587503C2311yescharacteristic, complemented
445#10587503C2311yescharacteristic, complemented
446#10587503C2311yescharacteristic, complemented
447C22⋊#3622C2311yescharacteristic, complemented
448C22⋊#3622C2311yescharacteristic, complemented
449#10587492C2311yescharacteristic
450#10587492C2311yescharacteristic
451#10587492C2311yescharacteristic
452#10587492C2311yescharacteristic, complemented
453#10587492C2311yescharacteristic, complemented
454#10587492C2311yescharacteristic, complemented
455#10587492C2311yescharacteristic, complemented
456#10587492C2311yescharacteristic, complemented
457#10587492C2311yescharacteristic, complemented
458#10587491C2311yescharacteristic, complemented
459#10587491C2311yescharacteristic, complemented
460#10587491C2311yescharacteristic, complemented
461#10587491C2311yescharacteristic, complemented
462#10587489C2311yescharacteristic, complemented
463#10587489C2311yescharacteristic, complemented
464#10587488C2311yescharacteristic, complemented
465#10587487C2311yescharacteristic, complemented
466#10587485C2311yescharacteristic, complemented
467#10587485C2311yescharacteristic, complemented
468C8×Dic17C2311yescharacteristic, complemented
469C8×Dic17C2311yescharacteristic, complemented
470#10587481C2311yescharacteristic, complemented
471#10587480C2311yescharacteristic
472#10587480C2311yescharacteristic
473#10587480C2311yescharacteristic
474#10587480C2311yescharacteristic, complemented
475#10587480C2311yescharacteristic, complemented
476#10587480C2311yescharacteristic, complemented
477#10587480C2311yescharacteristic, complemented
478#10587480C2311yescharacteristic, complemented
479#10587480C2311yescharacteristic, complemented
480#10587479C2311yescharacteristic, complemented
481#10587479C2311yescharacteristic, complemented
482#10587479C2311yescharacteristic, complemented
483#10587478C2311yescharacteristic, complemented
484#10587478C2311yescharacteristic, complemented
485#10587478C2311yescharacteristic, complemented
486C4⋊#3622C2311yescharacteristic, complemented
487#10587474C2311yescharacteristic, complemented
488C24×C17—21no—
489C24×C17—21no—
490C23×D17—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—44no—
500C23×D17—44no—
501C23×D17—44no—
502C23×D17—44no—
503C23×D17—82no—
504C23×D17—82no—
505C23×D17C2×D411yescharacteristic
506C23×D17C2×D411yescharacteristic
507C2×D4×C17—22no—
508C2×D4×C17—22no—
509C2×D4×C17—21no—
510C2×D4×C17—21no—
511C2×D4×C17—21no—
512C2×D4×C17—21no—
513C2×D4×C17—21no—
514C2×D4×C17—21no—
515C2×D4×C17—21no—
516C2×D4×C17—21no—
517C2×D4×C17—41no—
518C2×D4×C17—41no—
519C2×D4×C17—44no—
520C2×D4×C17C2×D411yescharacteristic
521C2×D4×C17C2411yescharacteristic
522C2×D4×C17C2411yescharacteristic
523C2×D4×C17C2411yescharacteristic
524C2×D4×C17C2411yescharacteristic
525C22×C4×C17—21no—
526C22×C4×C17—21no—
527C22×C4×C17—21no—
528C22×C4×C17C2411yescharacteristic
529C22×C4×C17C2411yescharacteristic
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—21no—
545C2×C22⋊D17—21no—
546C2×C22⋊D17—21no—
547C2×C22⋊D17—21no—
548C2×C22⋊D17—44no—
549C2×C22⋊D17—44no—
550C2×C22⋊D17—44no—
551C2×C22⋊D17—44no—
552C2×C22⋊D17C2×D411yescharacteristic
553C2×C22⋊D17C2×D411yescharacteristic
554C22×Dic17—21no—
555C22×Dic17—21no—
556C22×Dic17—21no—
557C22×Dic17—21no—
558C22×Dic17C2×D411yescharacteristic
559C22×Dic17C2×D411yescharacteristic
560#63254—22no—
561#63254—22no—
562#63254—44no—
563D4×D17—24no—
564D4×D17—22no—
565D4×D17—22no—
566D4×D17—22no—
567D4×D17—22no—
568D4×D17—22no—
569D4×D17—22no—
570D4×D17—22no—
571D4×D17—22no—
572D4×D17—22no—
573D4×D17—41no—
574D4×D17—41no—
575D4×D17—41no—
576D4×D17—41no—
577D4×D17—44no—
578D4×D17—44no—
579D4×D17—44no—
580D4×D17—44no—
581D4×D17—44no—
582D4×D17—44no—
583D4×D17—44no—
584D4×D17—44no—
585D4×D17—44no—
586D4×D17—44no—
587D4×D17—44no—
588D4×D17—82no—
589D4×D17#4114yescomplemented
590C2×D68—22no—
591C2×D68—22no—
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×D68C2×D411yescharacteristic
602C2×D68C2411yescharacteristic
603C2×D68C2411yescharacteristic
604C2×D68C2411yescharacteristic
605C2×C4×D17—22no—
606C2×C4×D17—22no—
607C2×C4×D17—22no—
608C2×C4×D17—22no—
609C2×C4×D17—21no—
610C2×C4×D17—21no—
611C2×C4×D17—21no—
612C2×C4×D17—21no—
613C2×C4×D17—21no—
614C2×C4×D17—44no—
615C2×C4×D17C2×D411yescharacteristic
616C2×C4×D17C2×D411yescharacteristic
617C2×C4×D17C2×D411yescharacteristic
618C2×C4×D17C2×D411yescharacteristic
619C2×C4×D17C2×D411yescharacteristic
620C2×C4×D17C2×D411yescharacteristic
621C2×C4×D17C2411yescharacteristic
622C2×C4×D17C2411yescharacteristic
623C2×C4×D17C2411yescharacteristic
624C2×Dic34—21no—
625C2×Dic34—21no—
626C2×Dic34C2411yescharacteristic
627D8×C17—22no—
628D8×C17—41no—
629D8×C17—41no—
630M16×C17—41no—
631C2×C8×C17—41no—
632C2×C8×C17C2411yescharacteristic
633C2×C8×C17C2411yescharacteristic
634C2×C8×C17C2411yescharacteristic
635C2×C8×C17C2411yescharacteristic
636C4⋊C4×C17—21no—
637C4⋊C4×C17—21no—
638C4⋊C4×C17—21no—
639C4⋊C4×C17C2×D411yescharacteristic
640C4⋊C4×C17C2411yescharacteristic
641C4⋊C4×C17C2411yescharacteristic
642C4⋊C4×C17C2411yescharacteristic
643C4⋊C4×C17C2411yescharacteristic
644C22⋊C4×C17—21no—
645C22⋊C4×C17—21no—
646C22⋊C4×C17—21no—
647C22⋊C4×C17—21no—
648C22⋊C4×C17—21no—
649C22⋊C4×C17—21no—
650C22⋊C4×C17—21no—
651C22⋊C4×C17C2×D411yescharacteristic
652C22⋊C4×C17C2×D411yescharacteristic
653C42×C17—21no—
654C42×C17C2411yescharacteristic
655C22⋊Dic17—21no—
656C22⋊Dic17—21no—
657C22⋊Dic17—21no—
658C22⋊Dic17—21no—
659C22⋊Dic17—21no—
660C22⋊Dic17—21no—
661C22⋊Dic17—21no—
662C22⋊Dic17—21no—
663C22⋊Dic17—21no—
664C22⋊Dic17C2×D411yescharacteristic
665C22⋊Dic17C2×D411yescharacteristic
666#63229—22no—
667#63229—41no—
668#63229—41no—
669#63228—22no—
670#63228—41no—
671#63228—41no—
672#63227—21no—
673#63227—21no—
674#63227—21no—
675#63227—21no—
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#63227C2×D411yescharacteristic
686#63227C2×D411yescharacteristic
687#63227C2×D411yescharacteristic
688#63227C2×D411yescharacteristic
689C4⋊Dic17—21no—
690C4⋊Dic17—21no—
691C4⋊Dic17—21no—
692C4⋊Dic17C2×D411yescharacteristic
693C4⋊Dic17C2411yescharacteristic
694C4⋊Dic17C2411yescharacteristic
695C4⋊Dic17C2411yescharacteristic
696C4⋊Dic17C2411yescharacteristic
697#63225—21no—
698#63225—21no—
699#63225—21no—
700#63225—21no—
701#63225—21no—
702#63225—21no—
703#63225—21no—
704#63225—21no—
705#63225—21no—
706#63225—21no—
707#63225—21no—
708#63225C2×D411yescharacteristic
709#63225C2×D411yescharacteristic
710C4×Dic17—21no—
711C4×Dic17—21no—
712C4×Dic17—21no—
713C4×Dic17—21no—
714C4×Dic17—21no—
715C4×Dic17—21no—
716C4×Dic17—21no—
717C4×Dic17—21no—
718C4×Dic17C2×D411yescharacteristic
719C4×Dic17C2×D411yescharacteristic
720C4×Dic17C2411yescharacteristic
721#63223—41no—
722C2×#3622—41no—
723C2×#3622C2411yescharacteristic
724C2×#3622C2411yescharacteristic
725C2×#3622C2411yescharacteristic
726C2×#3622C2411yescharacteristic
727#63219—22no—
728#63219—41no—
729#63219—41no—
730#63218—22no—
731#63218—22no—
732#63218—22no—
733#63218—22no—
734#63218—41no—
735#63218—41no—
736C8×D17—41no—
737C8×D17—41no—
738#61155—171nomaximal, Sylow
739C23×C17—21no—
740C23×C17—21no—
741C23×C17—21no—
742C23×C17—21no—
743C23×C17—42no—
744C23×C17—42no—
745C23×C17—42no—
746C23×C17—42no—
747C23×C17—81no—
748C23×C17—81no—
749C23×C17C22×D411yescharacteristic
750C23×C17C22×D411yescharacteristic
751C22×D17—22no—
752C22×D17—21no—
753C22×D17—22no—
754C22×D17—22no—
755C22×D17—24no—
756C22×D17—22no—
757C22×D17—21no—
758C22×D17—21no—
759C22×D17—41no—
760C22×D17—41no—
761C22×D17—42no—
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—42no—
773C22×D17—42no—
774C22×D17—42no—
775C22×D17—42no—
776C22×D17—42no—
777C22×D17—42no—
778C22×D17—42no—
779C22×D17—42no—
780C22×D17—42no—
781C22×D17—81no—
782C22×D17—81no—
783C22×D17—81no—
784C22×D17—81no—
785C22×D17—81no—
786C22×D17—81no—
787C22×D17—816no—
788C22×D17—816no—
789C22×D17C22×D411yescharacteristic
790C22×D17C22×D411yescharacteristic
791C22×D17C22×D411yescharacteristic
792D4×C17—22no—
793D4×C17—21no—
794D4×C17—21no—
795D4×C17—21no—
796D4×C17—21no—
797D4×C17—21no—
798D4×C17—21no—
799D4×C17—21no—
800D4×C17—42no—
801D4×C17—42no—
802D4×C17—42no—
803D4×C17—42no—
804D4×C17—42no—
805D4×C17—42no—
806D4×C17—81no—
807D4×C17—81no—
808D4×C17C2×#4112yes—
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—21no—
817C2×C4×C17—42no—
818C2×C4×C17—81no—
819C2×C4×C17—81no—
820C2×C4×C17C22×D411yescharacteristic
821C2×C4×C17C22×D411yescharacteristic
822C2×C4×C17C22×D411yescharacteristic
823C2×C4×C17C22×D411yescharacteristic
824C2×C4×C17C2511yescharacteristic
825C22⋊D17—24no—
826C22⋊D17—22no—
827C22⋊D17—42no—
828C22⋊D17—42no—
829C22⋊D17—42no—
830C22⋊D17—42no—
831C22⋊D17—42no—
832C22⋊D17—42no—
833C22⋊D17—42no—
834C22⋊D17—42no—
835C22⋊D17—42no—
836C22⋊D17—42no—
837C22⋊D17—42no—
838C22⋊D17—42no—
839C22⋊D17—42no—
840C22⋊D17—42no—
841C22⋊D17—81no—
842C22⋊D17—81no—
843C22⋊D17—81no—
844C22⋊D17AGL(1,ℤ/8)14yescomplemented
845C2×Dic17—22no—
846C2×Dic17—22no—
847C2×Dic17—21no—
848C2×Dic17—21no—
849C2×Dic17—21no—
850C2×Dic17—21no—
851C2×Dic17—21no—
852C2×Dic17—42no—
853C2×Dic17—42no—
854C2×Dic17—42no—
855C2×Dic17—42no—
856C2×Dic17C22×D411yescharacteristic
857C2×Dic17C22×D411yescharacteristic
858C2×Dic17C22×D411yescharacteristic
859C2×Dic17C22×D411yescharacteristic
860C2×Dic17C22×D411yescharacteristic
861D68—22no—
862D68—21no—
863D68—21no—
864D68—21no—
865D68—21no—
866D68—21no—
867D68—42no—
868D68—42no—
869D68—42no—
870D68—42no—
871D68—42no—
872D68—81no—
873D68C2×#4112yes—
874C4×D17—22no—
875C4×D17—22no—
876C4×D17—21no—
877C4×D17—21no—
878C4×D17—21no—
879C4×D17—21no—
880C4×D17—22no—
881C4×D17—22no—
882C4×D17—22no—
883C4×D17—41no—
884C4×D17—42no—
885C4×D17—42no—
886C4×D17—42no—
887C4×D17—42no—
888C4×D17—81no—
889C4×D17C2×#4112yes—
890C4×D17H(5,𝔽2)12yes—
891Dic34—21no—
892Dic34—21no—
893Dic34—42no—
894Dic34—81no—
895C8×C17—21no—
896C8×C17—21no—
897C8×C17—21no—
898C8×C17—21no—
899#3622—21no—
900#3622—21no—
901#3622—21no—
902#3622—21no—
903#3475—171no—
904C2×D42—171no—
905#3325—171no—
906#3325—171no—
907#3324—171no—
908#3324—171no—
909#3318—171no—
910#3318—171no—
911#3318—171no—
912#3318D1711yescharacteristic, complemented
913#3310—171no—
914#3310—171no—
915#3310—171no—
916#3310—171no—
917#3295—171no—
918#3295—171no—
919#3294—171no—
920#3294—171no—
921#3138—171no—
922#3094—171no—
923#3094—171no—
924#3077—171no—
925#3055—171no—
926#3055—171no—
927#3038—171no—
928#3003—171no—
929#3003—171no—
930C4×AGL(1,ℤ/8)—171no—
931D4×M16—171no—
932C2×#418—171no—
933C2×#418—171no—
934C22×C17—21no—
935C22×C17—21no—
936C22×C17—21no—
937C22×C17—21no—
938C22×C17—22no—
939C22×C17—21no—
940C22×C17—41no—
941C22×C17—41no—
942C22×C17—41no—
943C22×C17—41no—
944C22×C17—41no—
945C22×C17—41no—
946C22×C17—41no—
947C22×C17—41no—
948C22×C17—41no—
949C22×C17—41no—
950C22×C17—41no—
951C22×C17—84no—
952C22×C17—84no—
953C22×C17C2×AGL(1,ℤ/8)12yes—
954C22×C17C23×D411yescharacteristic
955C2×D17—21no—
956C2×D17—21no—
957C2×D17—21no—
958C2×D17—21no—
959C2×D17—21no—
960C2×D17—21no—
961C2×D17—22no—
962C2×D17—21no—
963C2×D17—44no—
964C2×D17—44no—
965C2×D17—48no—
966C2×D17—41no—
967C2×D17—41no—
968C2×D17—41no—
969C2×D17—41no—
970C2×D17—41no—
971C2×D17—41no—
972C2×D17—41no—
973C2×D17—41no—
974C2×D17—84no—
975C2×D17—84no—
976C2×D17—84no—
977C2×D17—84no—
978C2×D17—84no—
979C2×D17—84no—
980C2×D17—84no—
981C2×D17—84no—
982C2×D17#54612yes—
983C2×D17C2×AGL(1,ℤ/8)12yes—
984C4×C17—21no—
985C4×C17—21no—
986C4×C17—21no—
987C4×C17—21no—
988C4×C17—41no—
989C4×C17—41no—
990C4×C17—41no—
991C4×C17—41no—
992C4×C17C22×#4111yescharacteristic
993C4×C17C2×H(5,𝔽2)11yescharacteristic
994Dic17—21no—
995Dic17—21no—
996Dic17—21no—
997Dic17—41no—
998Dic17—41no—
999Dic17—41no—
1000Dic17—41no—
1001Dic17—41no—
1002Dic17#54612yes—
1003Dic17C2×AGL(1,ℤ/8)12yes—
1004C23×D4—171no—
1005C23×D4—171no—
1006C23×D4—341no—
1007C2×AGL(1,ℤ/8)—171no—
1008C2×AGL(1,ℤ/8)—171no—
1009C2×AGL(1,ℤ/8)—171no—
1010C22×M16—171no—
1011C22×M16—171no—
1012#556—171no—
1013#555—171no—
1014#554—171no—
1015#553—171no—
1016#553C2×D1711yescharacteristic, complemented
1017#552—171no—
1018#552—171no—
1019#552—341no—
1020#551—341no—
1021#551—341no—
1022#547—171no—
1023#546—341no—
1024D42—171no—
1025D42—171no—
1026D42—171no—
1027D42—171no—
1028D42—171no—
1029D42—171no—
1030D42—171no—
1031D42—341no—
1032D42—341no—
1033D42—341no—
1034D42—341no—
1035D42C2×D1711yescharacteristic
1036#533—171no—
1037C2×#127—171no—
1038#529—341no—
1039#529—341no—
1040#529—341no—
1041#525—171no—
1042#525—171no—
1043C2×#121—171no—
1044C2×#121—171no—
1045C2×#121—341no—
1046C2×#120—341no—
1047C2×#120—341no—
1048C4×#41—171no—
1049C4×#41—341no—
1050C2×C4×D4—171no—
1051C2×C4×D4—171no—
1052C2×#117—171no—
1053C2×#117—171no—
1054#490—171no—
1055#490—171no—
1056#490—171no—
1057#490C2×D1711yescharacteristic, complemented
1058#486—171no—
1059#486—171no—
1060#486—171no—
1061#486—171no—
1062#482—171no—
1063#482—171no—
1064#482—171no—
1065#482—171no—
1066#482—171no—
1067#482—171no—
1068#482—171no—
1069#482C2×D1711yescharacteristic, complemented
1070#481—171no—
1071#481—171no—
1072#481—171no—
1073#481C2×D1711yescharacteristic, complemented
1074#480—171no—
1075#480—171no—
1076#480—171no—
1077#480—171no—
1078#478—171no—
1079#478—171no—
1080#478—171no—
1081#478C2×D1711yescharacteristic, complemented
1082#476—171no—
1083#476—171no—
1084#474—171no—
1085#474—171no—
1086#469—171no—
1087#469—171no—
1088#469—171no—
1089#469C2×D1711yescharacteristic, complemented
1090#468—171no—
1091#468—171no—
1092#468—171no—
1093#468—171no—
1094#466—171no—
1095#466—171no—
1096#466—171no—
1097#466C2×D1711yescharacteristic, complemented
1098#465—171no—
1099#465—171no—
1100#465—171no—
1101#465—171no—
1102#460—171no—
1103#460—171no—
1104#460—171no—
1105#460—171no—
1106#459—171no—
1107#459—171no—
1108#459—171no—
1109#459C2×D1711yescharacteristic, complemented
1110#450—171no—
1111#450—171no—
1112#450—171no—
1113#450—171no—
1114#450—171no—
1115#450—171no—
1116#450—171no—
1117#450—171no—
1118#447—171no—
1119#447—171no—
1120#447—171no—
1121#447—171no—
1122#447—171no—
1123#447—171no—
1124#447C2×D1711yescharacteristic, complemented
1125#447C2×D1711yescharacteristic, complemented
1126#442—171no—
1127#442C2×D1711yescharacteristic, complemented
1128#440—171no—
1129#440—171no—
1130C4×SD16—171no—
1131C4×SD16—171no—
1132C4×D8—171no—
1133C4×D8—171no—
1134#436—171no—
1135#436—171no—
1136#435—171no—
1137#435—171no—
1138#435—171no—
1139#435C2×D1711yescharacteristic, complemented
1140C8×D4—171no—
1141C8×D4—171no—
1142#428—171no—
1143#428—171no—
1144#428—171no—
1145#423—171no—
1146#418—171no—
1147#418—171no—
1148#418—171no—
1149#418—171no—
1150#418—171no—
1151#418—171no—
1152#418—171no—
1153#418—171no—
1154#418—171no—
1155#418—171no—
1156#418—171no—
1157#418—171no—
1158#418—171no—
1159#418—171no—
1160#418—171no—
1161#418—171no—
1162#418C2×D1711yescharacteristic, complemented
1163#417—171no—
1164C2×#102—171no—
1165C2×#102—171no—
1166C2×#102—171no—
1167C2×#102—171no—
1168C2×#102—171no—
1169C2×#102—171no—
1170C2×#102—171no—
1171C2×#102C2×D1711yescharacteristic, complemented
1172#407—171no—
1173#407—171no—
1174C4×M16—171no—
1175C2×C17—22no—
1176C2×C17—41no—
1177C2×C17—42no—
1178C2×C17—81no—
1179C2×C17—81no—
1180C2×C17—81no—
1181C2×C17C2×#54611yescharacteristic
1182C2×C17C22×AGL(1,ℤ/8)11yescharacteristic
1183C2×C17#358511yescharacteristic
1184D17—22no—
1185D17—22no—
1186D17—41no—
1187D17—42no—
1188D17—81no—
1189D17—81no—
1190C25—341no—
1191C25—341no—
1192C2×#41—171no—
1193C2×#41—341no—
1194C22×D4—21no—
1195C22×D4—171no—
1196C22×D4—171no—
1197C22×D4—171no—
1198C22×D4—171no—
1199C22×D4—171no—
1200C22×D4—171no—
1201C22×D4—171no—
1202C22×D4—171no—
1203C22×D4—171no—
1204C22×D4—171no—
1205C22×D4—341no—
1206C22×D4—341no—
1207C22×D4—341no—
1208C22×D4—341no—
1209C22×D4—341no—
1210C22×D4—341no—
1211C22×D4—341no—
1212C22×D4—341no—
1213C22×D4—341no—
1214C22×D4—344no—
1215C22×D4—344no—
1216C22×D4—341no—
1217C22×D4—341no—
1218C22×D4—341no—
1219C22×D4—341no—
1220C22×D4—341no—
1221C22×D4—341no—
1222C22×D4—341no—
1223C22×D4—341no—
1224C22×D4—682no—
1225C22×D4—682no—
1226C22×D4—688no—
1227C22×D4C22×D1711yescharacteristic
1228C22×D4C22×D1711yescharacteristic
1229C23×C4—171no—
1230C23×C4—171no—
1231C23×C4—341no—
1232AGL(1,ℤ/8)—344no—
1233AGL(1,ℤ/8)—682no—
1234AGL(1,ℤ/8)—682no—
1235C2×SD16—171no—
1236C2×SD16—171no—
1237C2×SD16—171no—
1238C2×SD16—171no—
1239C2×SD16—171no—
1240C2×SD16—171no—
1241C2×D8—171no—
1242C2×D8—171no—
1243C2×D8—171no—
1244C2×D8C22×D1711yescharacteristic
1245C2×D8C22×D1711yescharacteristic, complemented
1246C2×D8C22×D1711yescharacteristic, complemented
1247C2×M16—171no—
1248C2×M16—171no—
1249C2×M16—171no—
1250C2×M16—171no—
1251C2×M16—171no—
1252C2×M16—171no—
1253C2×M16—171no—
1254C2×M16—682no—
1255C2×M16—682no—
1256C2×M16C22×D1711yescharacteristic, complemented
1257C22×C8—171no—
1258C22×C8—171no—
1259C22×C8—171no—
1260C22×C8C22×D1711yescharacteristic, complemented
1261C4⋊Q8—171no—
1262C4⋊Q8—171no—
1263#127—171no—
1264#127—171no—
1265#127—171no—
1266#127—341no—
1267#127—341no—
1268#127C22×D1711yescharacteristic
1269#126—21no—
1270#126—341no—
1271#126—341no—
1272#126—341no—
1273#126—341no—
1274#126—341no—
1275#125—171no—
1276#125—341no—
1277#125—341no—
1278#125—341no—
1279#125C22×D1711yescharacteristic, complemented
1280#124—341no—
1281#124—341no—
1282#124—341no—
1283#123—21no—
1284#123—341no—
1285#123—341no—
1286#123—341no—
1287#123—341no—
1288#123—341no—
1289#123—341no—
1290#123—341no—
1291C22⋊Q8—171no—
1292C22⋊Q8—171no—
1293C22⋊Q8—171no—
1294C22⋊Q8—171no—
1295C22⋊Q8—341no—
1296C22⋊Q8—341no—
1297C22⋊Q8—341no—
1298C22⋊Q8—341no—
1299C22⋊Q8—341no—
1300#121—21no—
1301#121—21no—
1302#121—171no—
1303#121—171no—
1304#121—171no—
1305#121—171no—
1306#121—171no—
1307#121—171no—
1308#121—171no—
1309#121—171no—
1310#121—341no—
1311#121—341no—
1312#121—341no—
1313#121—341no—
1314#121—341no—
1315#121—341no—
1316#121—341no—
1317#121—341no—
1318#121—341no—
1319#121—341no—
1320#121—341no—
1321#121—341no—
1322#121—341no—
1323#121C22×D1711yescharacteristic
1324#121C22×D1711yescharacteristic
1325#121C22×D1711yescharacteristic, complemented
1326#121C22×D1711yescharacteristic, complemented
1327#120—21no—
1328#120—21no—
1329#120—341no—
1330#120—341no—
1331#120—341no—
1332#120—341no—
1333#120—341no—
1334#120—341no—
1335#120—341no—
1336#120—341no—
1337#120—341no—
1338#120—341no—
1339#120—341no—
1340#120—341no—
1341#120—341no—
1342#120—341no—
1343#120—341no—
1344#120—341no—
1345C4×Q8—171no—
1346C4×Q8—171no—
1347C4×Q8—341no—
1348C4×Q8—341no—
1349C4×Q8—341no—
1350C4×D4—21no—
1351C4×D4—171no—
1352C4×D4—171no—
1353C4×D4—171no—
1354C4×D4—171no—
1355C4×D4—171no—
1356C4×D4—171no—
1357C4×D4—171no—
1358C4×D4—171no—
1359C4×D4—171no—
1360C4×D4—171no—
1361C4×D4—171no—
1362C4×D4—341no—
1363C4×D4—341no—
1364C4×D4—341no—
1365C4×D4—341no—
1366C4×D4—341no—
1367C4×D4—341no—
1368C4×D4—341no—
1369C4×D4—341no—
1370C4×D4—341no—
1371C4×D4—341no—
1372C4×D4C22×D1711yescharacteristic
1373C4×D4C22×D1711yescharacteristic
1374C4×D4C22×D1711yescharacteristic, complemented
1375#117—171no—
1376#117—171no—
1377#117—171no—
1378#117—171no—
1379#117—171no—
1380#117—171no—
1381#117—341no—
1382#117—341no—
1383#117—341no—
1384#117—341no—
1385#117—341no—
1386#117—341no—
1387#117—341no—
1388#117—341no—
1389#117C22×D1711yescharacteristic, complemented
1390C2×C4⋊C4—171no—
1391C2×C4⋊C4—171no—
1392C2×C4⋊C4—171no—
1393C2×C4⋊C4—171no—
1394C2×C4⋊C4—171no—
1395C2×C4⋊C4C22×D1711yescharacteristic, complemented
1396C2×C22⋊C4—171no—
1397C2×C22⋊C4—171no—
1398C2×C22⋊C4—341no—
1399C2×C22⋊C4—341no—
1400C2×C22⋊C4—341no—
1401C2×C22⋊C4—341no—
1402C2×C22⋊C4—341no—
1403C2×C42—171no—
1404C2×C42—341no—
1405C2×C42—341no—
1406C2×C42—341no—
1407#107—171no—
1408#107—171no—
1409#107—171no—
1410#107—171no—
1411#107—171no—
1412#107C22×D1711yescharacteristic, complemented
1413#106—171no—
1414#106—171no—
1415#106—171no—
1416#106—171no—
1417#106C22×D1711yescharacteristic, complemented
1418#106C22×D1711yescharacteristic, complemented
1419C4⋊C8—171no—
1420C4⋊C8—171no—
1421C4⋊C8—171no—
1422C4⋊C8C22×D1711yescharacteristic, complemented
1423#103—171no—
1424#103—171no—
1425#102—171no—
1426#102—171no—
1427#102—171no—
1428#102—171no—
1429#102—171no—
1430#102—171no—
1431#102—171no—
1432#102—171no—
1433#102—171no—
1434#102—171no—
1435#102—171no—
1436#102—171no—
1437#102—171no—
1438#102—171no—
1439#102—171no—
1440#102—171no—
1441#102—171no—
1442#102—171no—
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#102C22×D1711yescharacteristic
1454#102C22×D1711yescharacteristic
1455#102C22×D1711yescharacteristic
1456#102C22×D1711yescharacteristic, complemented
1457#102C22×D1711yescharacteristic, complemented
1458#102C22×D1711yescharacteristic, complemented
1459#102C22×D1711yescharacteristic, complemented
1460#102C22×D1711yescharacteristic, complemented
1461#102C22×D1711yescharacteristic, complemented
1462#102C22×D1711yescharacteristic, complemented
1463C22⋊C8—171no—
1464C22⋊C8—171no—
1465C22⋊C8—171no—
1466C22⋊C8—171no—
1467C22⋊C8—171no—
1468C22⋊C8—171no—
1469C22⋊C8C22×D1711yescharacteristic, complemented
1470C22⋊C8C22×D1711yescharacteristic, complemented
1471#97—171no—
1472#97C22×D1711yescharacteristic, complemented
1473C4×C8—171no—
1474C4×C8—171no—
1475C17#6115511yescharacteristic, complemented, Sylow
1476C24—21no—
1477C24—21no—
1478C24—171no—
1479C24—171no—
1480C24—341no—
1481C24—341no—
1482C24—341no—
1483C24—341no—
1484C24—341no—
1485C24—341no—
1486C24—341no—
1487C24—341no—
1488C24—341no—
1489C24—684no—
1490C24—684no—
1491C24—684no—
1492C24—684no—
1493C24—1362no—
1494C24—1362no—
1495#41—342no—
1496#41—342no—
1497#41—684no—
1498C2×Q8—171no—
1499C2×Q8—341no—
1500C2×Q8—341no—
1501C2×D4—22no—
1502C2×D4—22no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—41no—
1512C2×D4—41no—
1513C2×D4—44no—
1514C2×D4—171no—
1515C2×D4—174no—
1516C2×D4—171no—
1517C2×D4—171no—
1518C2×D4—171no—
1519C2×D4—171no—
1520C2×D4—171no—
1521C2×D4—342no—
1522C2×D4—342no—
1523C2×D4—341no—
1524C2×D4—341no—
1525C2×D4—342no—
1526C2×D4—342no—
1527C2×D4—342no—
1528C2×D4—342no—
1529C2×D4—342no—
1530C2×D4—341no—
1531C2×D4—341no—
1532C2×D4—341no—
1533C2×D4—341no—
1534C2×D4—341no—
1535C2×D4—341no—
1536C2×D4—341no—
1537C2×D4—341no—
1538C2×D4—341no—
1539C2×D4—341no—
1540C2×D4—341no—
1541C2×D4—344no—
1542C2×D4—342no—
1543C2×D4—342no—
1544C2×D4—342no—
1545C2×D4—342no—
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—681no—
1558C2×D4—681no—
1559C2×D4—684no—
1560C2×D4—681no—
1561C2×D4—681no—
1562C2×D4—681no—
1563C2×D4—681no—
1564C2×D4—684no—
1565C2×D4—684no—
1566C2×D4—684no—
1567C2×D4—684no—
1568C2×D4—684no—
1569C2×D4—684no—
1570C2×D4—684no—
1571C2×D4—684no—
1572C2×D4—684no—
1573C2×D4—684no—
1574C2×D4—684no—
1575C2×D4—684no—
1576C2×D4—684no—
1577C2×D4—684no—
1578C2×D4—684no—
1579C2×D4—1362no—
1580C2×D4D4×D1711yescharacteristic
1581C2×D4C23×D1711yescharacteristic
1582C2×D4C23×D1711yescharacteristic
1583C2×D4C23×D1711yescharacteristic
1584C2×D4C23×D1711yescharacteristic
1585C22×C4—21no—
1586C22×C4—21no—
1587C22×C4—21no—
1588C22×C4—171no—
1589C22×C4—171no—
1590C22×C4—171no—
1591C22×C4—171no—
1592C22×C4—171no—
1593C22×C4—171no—
1594C22×C4—171no—
1595C22×C4—171no—
1596C22×C4—171no—
1597C22×C4—171no—
1598C22×C4—171no—
1599C22×C4—342no—
1600C22×C4—342no—
1601C22×C4—342no—
1602C22×C4—342no—
1603C22×C4—341no—
1604C22×C4—341no—
1605C22×C4—341no—
1606C22×C4—341no—
1607C22×C4—341no—
1608C22×C4—341no—
1609C22×C4—341no—
1610C22×C4—341no—
1611C22×C4—341no—
1612C22×C4—684no—
1613C22×C4C23×D1711yescharacteristic
1614C22×C4C23×D1711yescharacteristic
1615SD16—342no—
1616SD16—342no—
1617SD16—681no—
1618SD16—681no—
1619SD16—681no—
1620SD16—681no—
1621D8—22no—
1622D8—41no—
1623D8—41no—
1624D8—342no—
1625D8—681no—
1626D8—681no—
1627M16—41no—
1628M16—342no—
1629M16—342no—
1630M16—342no—
1631M16—342no—
1632M16—681no—
1633M16—681no—
1634M16—681no—
1635C2×C8—41no—
1636C2×C8—171no—
1637C2×C8—171no—
1638C2×C8—171no—
1639C2×C8—171no—
1640C2×C8—681no—
1641C2×C8—681no—
1642C2×C8—681no—
1643C2×C8C23×D1711yescharacteristic
1644C2×C8C23×D1711yescharacteristic
1645C2×C8C23×D1711yescharacteristic
1646C2×C8C23×D1711yescharacteristic
1647C4⋊C4—21no—
1648C4⋊C4—21no—
1649C4⋊C4—21no—
1650C4⋊C4—171no—
1651C4⋊C4—171no—
1652C4⋊C4—171no—
1653C4⋊C4—171no—
1654C4⋊C4—171no—
1655C4⋊C4—171no—
1656C4⋊C4—171no—
1657C4⋊C4—341no—
1658C4⋊C4—341no—
1659C4⋊C4—341no—
1660C4⋊C4—341no—
1661C4⋊C4—341no—
1662C4⋊C4—341no—
1663C4⋊C4—341no—
1664C4⋊C4—341no—
1665C4⋊C4—341no—
1666C4⋊C4—341no—
1667C4⋊C4—341no—
1668C4⋊C4—341no—
1669C4⋊C4—341no—
1670C4⋊C4—341no—
1671C4⋊C4D4×D1711yescharacteristic
1672C4⋊C4C23×D1711yescharacteristic
1673C4⋊C4C23×D1711yescharacteristic
1674C4⋊C4C23×D1711yescharacteristic
1675C4⋊C4C23×D1711yescharacteristic
1676C22⋊C4—21no—
1677C22⋊C4—21no—
1678C22⋊C4—21no—
1679C22⋊C4—21no—
1680C22⋊C4—21no—
1681C22⋊C4—21no—
1682C22⋊C4—21no—
1683C22⋊C4—171no—
1684C22⋊C4—171no—
1685C22⋊C4—171no—
1686C22⋊C4—171no—
1687C22⋊C4—171no—
1688C22⋊C4—171no—
1689C22⋊C4—341no—
1690C22⋊C4—341no—
1691C22⋊C4—341no—
1692C22⋊C4—341no—
1693C22⋊C4—341no—
1694C22⋊C4—341no—
1695C22⋊C4—341no—
1696C22⋊C4—341no—
1697C22⋊C4—341no—
1698C22⋊C4—341no—
1699C22⋊C4—341no—
1700C22⋊C4—341no—
1701C22⋊C4—341no—
1702C22⋊C4—341no—
1703C22⋊C4—341no—
1704C22⋊C4—341no—
1705C22⋊C4—341no—
1706C22⋊C4—341no—
1707C22⋊C4—341no—
1708C22⋊C4—341no—
1709C22⋊C4—341no—
1710C22⋊C4—341no—
1711C22⋊C4D4×D1711yescharacteristic
1712C22⋊C4D4×D1711yescharacteristic
1713C42—21no—
1714C42—171no—
1715C42—171no—
1716C42—171no—
1717C42—341no—
1718C42—341no—
1719C42—341no—
1720C42—341no—
1721C42—341no—
1722C42—341no—
1723C42—341no—
1724C42—341no—
1725C42C23×D1711yescharacteristic
1726C23—21no—
1727C23—21no—
1728C23—21no—
1729C23—21no—
1730C23—42no—
1731C23—42no—
1732C23—42no—
1733C23—42no—
1734C23—81no—
1735C23—81no—
1736C23—171no—
1737C23—171no—
1738C23—171no—
1739C23—342no—
1740C23—342no—
1741C23—344no—
1742C23—342no—
1743C23—342no—
1744C23—341no—
1745C23—341no—
1746C23—341no—
1747C23—681no—
1748C23—681no—
1749C23—682no—
1750C23—682no—
1751C23—682no—
1752C23—682no—
1753C23—682no—
1754C23—682no—
1755C23—682no—
1756C23—682no—
1757C23—682no—
1758C23—682no—
1759C23—682no—
1760C23—682no—
1761C23—682no—
1762C23—682no—
1763C23—682no—
1764C23—682no—
1765C23—682no—
1766C23—682no—
1767C23—682no—
1768C23—682no—
1769C23—1361no—
1770C23—1361no—
1771C23—1361no—
1772C23—1361no—
1773C23—1361no—
1774C23—1361no—
1775C23—13616no—
1776C23—13616no—
1777C23C2×D4×D1711yescharacteristic
1778C23C2×D4×D1711yescharacteristic
1779Q8—341no—
1780Q8—341no—
1781Q8—682no—
1782Q8—1361no—
1783D4—22no—
1784D4—21no—
1785D4—21no—
1786D4—21no—
1787D4—21no—
1788D4—21no—
1789D4—21no—
1790D4—21no—
1791D4—42no—
1792D4—42no—
1793D4—42no—
1794D4—42no—
1795D4—42no—
1796D4—42no—
1797D4—81no—
1798D4—81no—
1799D4—174no—
1800D4—172no—
1801D4—342no—
1802D4—344no—
1803D4—342no—
1804D4—341no—
1805D4—341no—
1806D4—341no—
1807D4—341no—
1808D4—341no—
1809D4—682no—
1810D4—682no—
1811D4—682no—
1812D4—682no—
1813D4—682no—
1814D4—682no—
1815D4—682no—
1816D4—682no—
1817D4—682no—
1818D4—682no—
1819D4—682no—
1820D4—682no—
1821D4—682no—
1822D4—682no—
1823D4—682no—
1824D4—682no—
1825D4—682no—
1826D4—682no—
1827D4—682no—
1828D4—1361no—
1829D4—1361no—
1830D4—1361no—
1831D4—1361no—
1832D4#41×D1712yes—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—42no—
1842C2×C4—81no—
1843C2×C4—81no—
1844C2×C4—171no—
1845C2×C4—171no—
1846C2×C4—172no—
1847C2×C4—172no—
1848C2×C4—171no—
1849C2×C4—171no—
1850C2×C4—171no—
1851C2×C4—342no—
1852C2×C4—342no—
1853C2×C4—342no—
1854C2×C4—342no—
1855C2×C4—342no—
1856C2×C4—342no—
1857C2×C4—342no—
1858C2×C4—341no—
1859C2×C4—341no—
1860C2×C4—341no—
1861C2×C4—341no—
1862C2×C4—341no—
1863C2×C4—341no—
1864C2×C4—341no—
1865C2×C4—341no—
1866C2×C4—341no—
1867C2×C4—681no—
1868C2×C4—682no—
1869C2×C4—682no—
1870C2×C4—682no—
1871C2×C4—682no—
1872C2×C4—682no—
1873C2×C4—682no—
1874C2×C4—682no—
1875C2×C4—682no—
1876C2×C4—1361no—
1877C2×C4C2×D4×D1711yescharacteristic
1878C2×C4C2×D4×D1711yescharacteristic
1879C2×C4C2×D4×D1711yescharacteristic
1880C2×C4C2×D4×D1711yescharacteristic
1881C2×C4C24×D1711yescharacteristic
1882C8—21no—
1883C8—21no—
1884C8—21no—
1885C8—21no—
1886C8—341no—
1887C8—341no—
1888C8—341no—
1889C8—341no—
1890C22—21no—
1891C22—21no—
1892C22—21no—
1893C22—22no—
1894C22—21no—
1895C22—21no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—41no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—84no—
1908C22—84no—
1909C22—172no—
1910C22—172no—
1911C22—341no—
1912C22—341no—
1913C22—341no—
1914C22—341no—
1915C22—341no—
1916C22—342no—
1917C22—341no—
1918C22—341no—
1919C22—684no—
1920C22—684no—
1921C22—688no—
1922C22—681no—
1923C22—681no—
1924C22—681no—
1925C22—681no—
1926C22—681no—
1927C22—681no—
1928C22—681no—
1929C22—681no—
1930C22—1364no—
1931C22—1364no—
1932C22—1364no—
1933C22—1364no—
1934C22—1364no—
1935C22—1364no—
1936C22—1364no—
1937C22—1364no—
1938C22AGL(1,ℤ/8)×D1712yes—
1939C22C22×D4×D1711yescharacteristic
1940C4—21no—
1941C4—21no—
1942C4—21no—
1943C4—21no—
1944C4—41no—
1945C4—41no—
1946C4—41no—
1947C4—41no—
1948C4—172no—
1949C4—172no—
1950C4—341no—
1951C4—341no—
1952C4—341no—
1953C4—681no—
1954C4—681no—
1955C4—681no—
1956C4—681no—
1957C4—681no—
1958C4C2×#41×D1711yescharacteristic
1959C4H(5,𝔽2)×D1711yescharacteristic
1960C2—22no—
1961C2—41no—
1962C2—42no—
1963C2—81no—
1964C2—81no—
1965C2—81no—
1966C2—342no—
1967C2—342no—
1968C2—681no—
1969C2—682no—
1970C2—1361no—
1971C2—1361no—
1972C2D17×#54611yescharacteristic
1973C2C2×AGL(1,ℤ/8)×D1711yescharacteristic
1974C2#1454355911yescharacteristic
subgroupG/H
centerC22C22×D4×D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC17×#3318C2
socleC22×C17C23×D4
hypercenter#3318D17
hypocenterC17#61155
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #14542343C2semidirect
2. D42×D17C2semidirect
3. #14541021C2semidirect
4. #14541019C2semidirect
5. #14541013C2semidirect
6. #14541011C2semidirect
7. #14540932C2semidirect
8. #14540930C2semidirect
9. #14540919C2semidirect
10. #14540807C2semidirect
11. #14540805C2semidirect
12. #14540804C2semidirect
13. #14540802C2semidirect
14. #14540606C2semidirect
15. #14540604C2semidirect
16. #14540592C2semidirect
17. #14540590C2semidirect
18. #14539157C2semidirect
19. #14538723C2semidirect
20. #14538721C2semidirect
21. #14538579C2semidirect
22. #14538402C2semidirect
23. #14538400C2semidirect
24. #14538259C2semidirect
25. #14538008C2semidirect
26. #14538008C2semidirect
27. #14537595C2semidirect
28. #14537517C2semidirect
29. C2×#11762812C2semidirect
30. D17×#418C2semidirect
31. C17×#3318C2semidirect
36. C2×#10587597C22semidirect
37. C2×#10587597C22semidirect
38. C22×#63218C22semidirect
39. C2×M16×D17C22semidirect
40. #11763527C22semidirect
41. #11763523C22semidirect
42. #11763514C22semidirect
43. #11763509C22semidirect
44. #11763499C22semidirect
45. #11763497C22semidirect
49. #11763459C22semidirect
62. #11763365C22semidirect
67. #11763319C22semidirect
68. #11763319C22semidirect
75. C4×#63254C22semidirect
78. C2×#10587578C22semidirect
79. #117×D17C22semidirect
80. #11763175C22semidirect
81. #11763174C22semidirect
82. #11763173C22semidirect
83. #11763154C22semidirect
84. #11763154C22semidirect
85. #11763154C22semidirect
86. #11763154C22semidirect
87. #11763135C22semidirect
88. #11763135C22semidirect
89. #11763134C22semidirect
90. #11763133C22semidirect
91. #11763131C22semidirect
92. #11763131C22semidirect
93. #11763130C22semidirect
94. #11763129C22semidirect
95. #11763127C22semidirect
96. #11763126C22semidirect
97. #11763124C22semidirect
98. #11763123C22semidirect
99. #11763121C22semidirect
100. #11763120C22semidirect
101. #11763110C22semidirect
102. #11763109C22semidirect
103. #11763106C22semidirect
104. #11763098C22semidirect
105. #11763097C22semidirect
106. #11763088C22semidirect
107. #11763087C22semidirect
108. #11763061C22semidirect
109. #11763060C22semidirect
110. #11763059C22semidirect
111. #11763056C22semidirect
112. #11763055C22semidirect
113. #11763054C22semidirect
114. #11763053C22semidirect
115. #11763044C22semidirect
116. #11763043C22semidirect
117. #11763042C22semidirect
118. #11763039C22semidirect
119. #11763038C22semidirect
120. #11763037C22semidirect
121. #11763036C22semidirect
122. #11763010C22semidirect
123. #11763008C22semidirect
124. #11763008C22semidirect
125. #11763006C22semidirect
126. #11763004C22semidirect
127. #11763002C22semidirect
128. #11763002C22semidirect
129. #11762962C22semidirect
130. #11762962C22semidirect
131. #11762961C22semidirect
132. #11762961C22semidirect
133. #11762961C22semidirect
134. #11762961C22semidirect
135. #11762960C22semidirect
136. #11762960C22semidirect
137. #11762942C22semidirect
138. #11762942C22semidirect
139. #11762941C22semidirect
140. #11762941C22semidirect
141. #11762941C22semidirect
142. #11762941C22semidirect
143. #11762919C22semidirect
144. #11762911C22semidirect
145. #11762909C22semidirect
146. #11762900C22semidirect
147. #11762896C22semidirect
148. D8×Dic17C22semidirect
149. #11762889C22semidirect
150. #11762885C22semidirect
151. #11762884C22semidirect
152. #11762882C22semidirect
153. #11762881C22semidirect
154. #11762879C22semidirect
155. C8×C22⋊D17C22semidirect
156. #11762872C22semidirect
157. #11762850C22semidirect
158. #11762848C22semidirect
159. #11762848C22semidirect
160. #11762831C22semidirect
161. #11762815C22semidirect
162. #11762814C22semidirect
163. #11762813C22semidirect
167. #11762812C22semidirect
168. #11762812C22semidirect
169. #11762812C22semidirect
170. #11762812C22semidirect
171. #11762812C22semidirect
172. #11762812C22semidirect
173. #11762812C22semidirect
174. #11762812C22semidirect
175. #11762812C22semidirect
176. #11762812C22semidirect
177. #11762807C22semidirect
178. C2×#10587492C22semidirect
179. C2×#10587503C22semidirect
180. C2×#10587480C22semidirect
181. #102×D17C22semidirect
182. #102×D17C22semidirect
183. #102×D17C22semidirect
184. #102×D17C22semidirect
185. #11762771C22semidirect
186. #11762771C22semidirect
187. #11762761C22semidirect
188. C17×#553C22semidirect
190. C17×#490C22semidirect
191. C17×#482C22semidirect
192. C17×#481C22semidirect
193. C17×#478C22semidirect
194. C17×#469C22semidirect
195. C17×#466C22semidirect
196. C17×#459C22semidirect
197. C17×#447C22semidirect
198. C17×#447C22semidirect
199. C17×#442C22semidirect
200. C17×#435C22semidirect
201. C17×#418C22semidirect
202. C2×C17×#102C22semidirect
246. C2×D8×C17C23semidirect
247. C2×D8×C17C23semidirect
248. C2×M16×C17C23semidirect
249. C22×C8×C17C23semidirect
252. C17×#125C23semidirect
258. C17×#121C23semidirect
259. C17×#121C23semidirect
265. C4×D4×C17C23semidirect
266. C17×#117C23semidirect
267. C2×C4⋊C4×C17C23semidirect
282. #10587624C23semidirect
283. #10587624C23semidirect
299. D4×Dic17C23semidirect
301. C2×#63229C23semidirect
302. C2×#63229C23semidirect
304. C2×#63228C23semidirect
305. C2×#63228C23semidirect
317. #10587612C23semidirect
318. C2×C4⋊Dic17C23semidirect
320. #10587610C23semidirect
321. #10587610C23semidirect
324. C2×#63223C23semidirect
325. C22×#3622C23semidirect
331. C2×#63219C23semidirect
332. C2×#63219C23semidirect
338. C2×#63218C23semidirect
339. C2×#63218C23semidirect
340. C2×C8×D17C23semidirect
341. C2×C8×D17C23semidirect
343. #10587583C23semidirect
344. #10587583C23semidirect
360. #10587578C23semidirect
361. #10587578C23semidirect
364. C4⋊C4×D17C23semidirect
365. C4⋊C4×D17C23semidirect
369. #10587574C23semidirect
370. #10587574C23semidirect
373. #10587573C23semidirect
417. #10587556C23semidirect
419. C4×Dic34C23semidirect
420. C17×#107C23semidirect
421. C17×#106C23semidirect
422. C17×#106C23semidirect
423. C17×C4⋊C8C23semidirect
427. C17×#102C23semidirect
428. C17×#102C23semidirect
429. C17×#102C23semidirect
430. C17×#102C23semidirect
431. C17×#102C23semidirect
432. C17×#102C23semidirect
433. C17×#102C23semidirect
434. C17×C22⋊C8C23semidirect
435. C17×C22⋊C8C23semidirect
436. C17×#97C23semidirect
440. #10587503C23semidirect
441. #10587503C23semidirect
442. #10587503C23semidirect
443. #10587503C23semidirect
444. #10587503C23semidirect
445. #10587503C23semidirect
446. #10587503C23semidirect
447. C22⋊#3622C23semidirect
448. C22⋊#3622C23semidirect
452. #10587492C23semidirect
453. #10587492C23semidirect
454. #10587492C23semidirect
455. #10587492C23semidirect
456. #10587492C23semidirect
457. #10587492C23semidirect
458. #10587491C23semidirect
459. #10587491C23semidirect
460. #10587491C23semidirect
461. #10587491C23semidirect
462. #10587489C23semidirect
463. #10587489C23semidirect
464. #10587488C23semidirect
465. #10587487C23semidirect
466. #10587485C23semidirect
467. #10587485C23semidirect
468. C8×Dic17C23semidirect
469. C8×Dic17C23semidirect
470. #10587481C23semidirect
474. #10587480C23semidirect
475. #10587480C23semidirect
476. #10587480C23semidirect
477. #10587480C23semidirect
478. #10587480C23semidirect
479. #10587480C23semidirect
480. #10587479C23semidirect
481. #10587479C23semidirect
482. #10587479C23semidirect
483. #10587478C23semidirect
484. #10587478C23semidirect
485. #10587478C23semidirect
486. C4⋊#3622C23semidirect
487. #10587474C23semidirect
589. D4×D17#41semidirect
844. C22⋊D17AGL(1,ℤ/8)semidirect
912. #3318D17semidirect
1016. #553C2×D17semidirect
1057. #490C2×D17semidirect
1069. #482C2×D17semidirect
1073. #481C2×D17semidirect
1081. #478C2×D17semidirect
1089. #469C2×D17semidirect
1097. #466C2×D17semidirect
1109. #459C2×D17semidirect
1124. #447C2×D17semidirect
1125. #447C2×D17semidirect
1127. #442C2×D17semidirect
1139. #435C2×D17semidirect
1162. #418C2×D17semidirect
1171. C2×#102C2×D17semidirect
1245. C2×D8C22×D17semidirect
1246. C2×D8C22×D17semidirect
1256. C2×M16C22×D17semidirect
1260. C22×C8C22×D17semidirect
1279. #125C22×D17semidirect
1325. #121C22×D17semidirect
1326. #121C22×D17semidirect
1374. C4×D4C22×D17semidirect
1389. #117C22×D17semidirect
1395. C2×C4⋊C4C22×D17semidirect
1412. #107C22×D17semidirect
1417. #106C22×D17semidirect
1418. #106C22×D17semidirect
1422. C4⋊C8C22×D17semidirect
1456. #102C22×D17semidirect
1457. #102C22×D17semidirect
1458. #102C22×D17semidirect
1459. #102C22×D17semidirect
1460. #102C22×D17semidirect
1461. #102C22×D17semidirect
1462. #102C22×D17semidirect
1469. C22⋊C8C22×D17semidirect
1470. C22⋊C8C22×D17semidirect
1472. #97C22×D17semidirect
1475. C17#61155semidirect

Maximal subgroups

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

subgroupindex
#145423432
D42×D172
#145410212
#145410192
#145410132
#145410112
#145409322
#145409302
#145409192
#145408072
#145408052
#145408042
#145408022
#145406062
#145406042
#145405922
#145405902
#145391572
#145387232
#145387212
#145385792
#145384022
#145384002
#145382592
#145380082
#145375952
#145375172
C2×#117628122
D17×#4182
C17×#33182
#6115517