Finite Group Databasebeta

← C2×#14542737 #17942415

Subgroups — C2×#14542737 #17942415

Order 4352.

8006 conjugacy classes of subgroups.

The subgroup lattice has 2064 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542737C2132yesmaximal, direct product factor
2C2×#11763543C211yesmaximal, characteristic, complemented
3C2×#11763526C211yesmaximal, characteristic, complemented
4C2×#11763523C211yesmaximal, characteristic, complemented
5C2×#11763521C211yesmaximal, characteristic, complemented
6C2×#11763490C211yesmaximal, characteristic, complemented
7C2×#11763486C211yesmaximal, characteristic, complemented
8C2×#11763484C211yesmaximal, characteristic, complemented
9C2×#11763482C211yesmaximal, characteristic, complemented
10C2×#11763472C211yesmaximal, characteristic, complemented
11C2×#11763467C211yesmaximal, characteristic, complemented
12C2×#11763465C211yesmaximal, characteristic, complemented
13C2×#11763448C211yesmaximal, characteristic, complemented
14C2×#11763448C211yesmaximal, characteristic, complemented
15C2×#11763446C211yesmaximal, characteristic, complemented
16C2×#11763446C211yesmaximal, characteristic, complemented
17C2×#11763441C211yesmaximal, characteristic, complemented
18C2×#11763425C211yesmaximal, characteristic, complemented
19C2×#11763423C211yesmaximal, characteristic, complemented
20C2×#11763395C211yesmaximal, characteristic, complemented
21C2×#11763392C211yesmaximal, characteristic, complemented
22C2×#11763391C211yesmaximal, characteristic, complemented
23C2×#11763354C211yesmaximal, characteristic, complemented
24C2×#11763342C211yesmaximal, characteristic, complemented
25C2×#11763339C211yesmaximal, characteristic, complemented
26C2×#11763336C211yesmaximal, characteristic, complemented
27C22×#10587571C211yesmaximal, characteristic, complemented
28C2×#124×D17C211yesmaximal, characteristic, complemented
29C2×#11763282C211yesmaximal, characteristic, complemented
30C2×#11763281C211yesmaximal, characteristic, complemented
31C2×C4×#63254C211yesmaximal, characteristic, complemented
32C2×C17×#538C211yesmaximal, characteristic, complemented
33C22×#63254C2211yescharacteristic
34C22×#63254C2211yescharacteristic, complemented
35C22×#63254C2211yescharacteristic, complemented
36C23×Dic34C2211yescharacteristic, complemented
37C22×Q8×D17C2211yescharacteristic, complemented
38C23×C22⋊D17C2211yescharacteristic
39C23×C22⋊D17C2211yescharacteristic
40C22×D4×D17C2211yescharacteristic
41C22×D4×D17C2211yescharacteristic
42#11763543C22116yescomplemented
43#11763526C22116yescomplemented
44#11763523C22116yescomplemented
45#11763521C22116yescomplemented
46#11763490C22116yescomplemented
47#11763486C22116yescomplemented
48#11763484C22116yescomplemented
49#11763482C22116yescomplemented
50#11763472C22116yescomplemented
51#11763467C22116yescomplemented
52#11763465C22116yescomplemented
53#11763448C22116yescomplemented
54#11763448C22116yescomplemented
55#11763446C22116yescomplemented
56#11763446C22116yescomplemented
57#11763441C22116yescomplemented
58#11763425C22116yescomplemented
59#11763423C22116yescomplemented
60#11763395C22116yescomplemented
61#11763392C22116yescomplemented
62#11763391C22116yescomplemented
63#11763354C22116yescomplemented
64C2×#10587574C2211yescharacteristic, complemented
65C2×#10587574C2211yescharacteristic, complemented
66C2×#10587630C2211yescharacteristic, complemented
67C2×#10587626C2211yescharacteristic
68#11763342C22116yescomplemented
69#11763339C22116yescomplemented
70#11763336C22116yescomplemented
71C2×#10587584C2211yescharacteristic, complemented
72C2×#10587584C2211yescharacteristic, complemented
73C2×#10587584C2211yescharacteristic, complemented
74C2×#10587584C2211yescharacteristic, complemented
75C2×#10587562C2211yescharacteristic, complemented
76C2×#10587565C2211yescharacteristic, complemented
77C2×#10587565C2211yescharacteristic, complemented
78C2×#10587565C2211yescharacteristic, complemented
79C2×#10587575C2211yescharacteristic, complemented
80C2×#10587633C2211yescharacteristic, complemented
81C2×#10587561C2211yescharacteristic, complemented
82C2×#10587622C2211yescharacteristic, complemented
83C2×#10587622C2211yescharacteristic, complemented
84C2×#10587571C2211yescharacteristic
85C2×#10587571C2211yescharacteristic
86C2×#10587571C2211yescharacteristic
87C2×#10587571C2211yescharacteristic, complemented
88C2×#10587571C2211yescharacteristic, complemented
89C2×#10587571C2211yescharacteristic, complemented
90C2×#10587571C2211yescharacteristic, complemented
91C2×#10587571C2211yescharacteristic, complemented
92C2×#10587571C2211yescharacteristic, complemented
93C2×#10587571C2211yescharacteristic, complemented
94C2×#10587571C2211yescharacteristic, complemented
95C2×#10587571C2211yescharacteristic, complemented
96C2×#10587571C2211yescharacteristic, complemented
97C2×#10587571C2211yescharacteristic, complemented
98C2×#10587571C2211yescharacteristic, complemented
99C2×#10587571C22116yescomplemented
100#124×D17C22116yescomplemented
101C2×#10587580C2211yescharacteristic, complemented
102C2×#10587580C2211yescharacteristic, complemented
103C2×#10587580C2211yescharacteristic, complemented
104C2×#10587580C2211yescharacteristic, complemented
105C2×#10587572C2211yescharacteristic, complemented
106C2×#10587572C2211yescharacteristic, complemented
107C2×#10587615C2211yescharacteristic, complemented
108C2×#10587569C2211yescharacteristic, complemented
109C2×#10587569C2211yescharacteristic, complemented
110C2×#10587621C2211yescharacteristic, complemented
111C2×#10587621C2211yescharacteristic, complemented
112C2×#10587621C2211yescharacteristic, complemented
113C2×#10587583C2211yescharacteristic, complemented
114C2×#10587583C2211yescharacteristic, complemented
115C2×#10587582C2211yescharacteristic, complemented
116C2×#10587582C2211yescharacteristic, complemented
117C2×#10587582C2211yescharacteristic, complemented
118C2×#10587564C2211yescharacteristic, complemented
119C2×#10587564C2211yescharacteristic, complemented
120C2×#10587564C2211yescharacteristic, complemented
121C2×#10587564C2211yescharacteristic, complemented
122C2×#10587564C2211yescharacteristic, complemented
123C2×#10587564C2211yescharacteristic, complemented
124C2×#10587632C2211yescharacteristic, complemented
125C2×#10587616C2211yescharacteristic, complemented
126C2×#10587570C2211yescharacteristic
127C2×#10587570C2211yescharacteristic
128C2×#10587570C2211yescharacteristic, complemented
129C2×#10587570C2211yescharacteristic, complemented
130C2×#10587625C2211yescharacteristic
131C2×#10587625C2211yescharacteristic
132C2×#10587625C2211yescharacteristic
133C2×#10587625C2211yescharacteristic, complemented
134C2×#10587625C2211yescharacteristic, complemented
135C2×#10587625C2211yescharacteristic, complemented
136C2×#10587625C2211yescharacteristic, complemented
137C2×#10587624C2211yescharacteristic, complemented
138C2×#10587624C2211yescharacteristic, complemented
139C2×#10587568C2211yescharacteristic
140C2×#10587568C2211yescharacteristic
141C2×#10587623C2211yescharacteristic
142C2×#10587623C2211yescharacteristic, complemented
143C2×#10587623C2211yescharacteristic, complemented
144C2×#10587623C2211yescharacteristic, complemented
145#11763282C22116yescomplemented
146#11763281C22116yescomplemented
147C4×#63254C22116yescomplemented
148C2×C4×Dic34C2211yescharacteristic, complemented
149C2×C4×Dic34C2211yescharacteristic, complemented
150C2×#10587573C2211yescharacteristic, complemented
151C2×#10587573C2211yescharacteristic, complemented
152C2×#10587573C2211yescharacteristic, complemented
153C2×C4×D68C2211yescharacteristic, complemented
154C2×D4×Dic17C2211yescharacteristic, complemented
155C2×D4×Dic17C2211yescharacteristic, complemented
156C2×D4×Dic17C2211yescharacteristic, complemented
157C2×D4×Dic17C2211yescharacteristic, complemented
158C2×#10587579C2211yescharacteristic, complemented
159C2×#10587579C2211yescharacteristic, complemented
160C2×C4×C22⋊D17C2211yescharacteristic
161C2×C4×C22⋊D17C2211yescharacteristic
162C2×C4×C22⋊D17C2211yescharacteristic, complemented
163C2×C4×C22⋊D17C2211yescharacteristic, complemented
164C2×C4×C22⋊D17C2211yescharacteristic, complemented
165C2×C4×C22⋊D17C2211yescharacteristic, complemented
166C2×C4×C22⋊D17C2211yescharacteristic, complemented
167C2×#10587567C2211yescharacteristic
168C2×#10587567C2211yescharacteristic
169C2×#10587567C2211yescharacteristic
170C2×#10587567C2211yescharacteristic, complemented
171C2×#10587567C2211yescharacteristic, complemented
172C2×#10587567C2211yescharacteristic, complemented
173C2×#10587567C2211yescharacteristic, complemented
174C2×#10587567C2211yescharacteristic, complemented
175C2×#10587567C2211yescharacteristic, complemented
176C2×#10587567C2211yescharacteristic, complemented
177C2×#10587567C2211yescharacteristic, complemented
178C2×#10587612C2211yescharacteristic, complemented
179C2×#10587578C2211yescharacteristic, complemented
180C2×#10587578C2211yescharacteristic, complemented
181C2×#10587578C2211yescharacteristic, complemented
182C2×#10587558C2211yescharacteristic, complemented
183C2×#10587558C2211yescharacteristic, complemented
184C2×#10587563C2211yescharacteristic, complemented
185C2×#10587563C2211yescharacteristic, complemented
186C2×#10587563C2211yescharacteristic, complemented
187C2×#10587563C2211yescharacteristic, complemented
188C2×#10587563C2211yescharacteristic, complemented
189C22×C22⋊Dic17C2211yescharacteristic, complemented
190C22×C22⋊Dic17C2211yescharacteristic, complemented
191C22×#63227C2211yescharacteristic, complemented
192C22×#63227C2211yescharacteristic, complemented
193C22×#63227C2211yescharacteristic, complemented
194C2×C22⋊C4×D17C2211yescharacteristic, complemented
195C2×C22⋊C4×D17C2211yescharacteristic, complemented
196C2×C22⋊C4×D17C2211yescharacteristic, complemented
197C2×C22⋊C4×D17C2211yescharacteristic, complemented
198C2×C22⋊C4×D17C2211yescharacteristic, complemented
199C2×C22⋊C4×D17C2211yescharacteristic, complemented
200C22×C4×Dic17C2211yescharacteristic, complemented
201C22×C4×Dic17C2211yescharacteristic, complemented
202C2×C42×D17C2211yescharacteristic, complemented
203C17×#538C22116yescomplemented
204C2×C17×#126C2211yescharacteristic, complemented
205C2×C17×#126C2211yescharacteristic, complemented
206C2×C17×#124C2211yescharacteristic, complemented
207C2×C17×#124C2211yescharacteristic, complemented
208C2×C17×#123C2211yescharacteristic, complemented
209C2×C17×#123C2211yescharacteristic, complemented
210C2×C17×C22⋊Q8C2211yescharacteristic, complemented
211C2×C17×#121C2211yescharacteristic, complemented
212C2×C17×#121C2211yescharacteristic, complemented
213C2×C17×#121C2211yescharacteristic, complemented
214C2×C17×#120C2211yescharacteristic
215C2×C17×#120C2211yescharacteristic, complemented
216C2×C4×D4×C17C2211yescharacteristic, complemented
217C2×C4×D4×C17C2211yescharacteristic, complemented
218C22×C22⋊C4×C17C2211yescharacteristic, complemented
219C25×C17C2311yescharacteristic
220C24×D17C2311yescharacteristic
221C24×D17C2311yescharacteristic
222C24×D17C2311yescharacteristic
223C22×Q8×C17C2311yescharacteristic
224C22×D4×C17C2311yescharacteristic
225C22×D4×C17C2311yescharacteristic
226C22×D4×C17C2311yescharacteristic
227C22×D4×C17C2311yescharacteristic
228C22×D4×C17C2311yescharacteristic
229C22×D4×C17C2311yescharacteristic
230C22×D4×C17C2311yescharacteristic
231C23×C4×C17C2311yescharacteristic
232C23×C4×C17C2311yescharacteristic
233C23×C4×C17C2311yescharacteristic
234C23×C4×C17C2311yescharacteristic
235C22×C22⋊D17—28no—
236C22×C22⋊D17—44no—
237C22×C22⋊D17C2311yescharacteristic
238C22×C22⋊D17C2311yescharacteristic
239C22×C22⋊D17C2311yescharacteristic
240C22×C22⋊D17C2311yescharacteristic
241C22×C22⋊D17C2311yescharacteristic
242C22×C22⋊D17C2311yescharacteristic
243C22×C22⋊D17C2311yescharacteristic
244C22×C22⋊D17C2311yescharacteristic
245C22×C22⋊D17C2318yes—
246C22×C22⋊D17C2311yescharacteristic
247C22×C22⋊D17C2311yescharacteristic
248C22×C22⋊D17C2311yescharacteristic
249C22×C22⋊D17C2311yescharacteristic
250C22×C22⋊D17C2311yescharacteristic
251C22×C22⋊D17C2318yes—
252C22×C22⋊D17C2311yescharacteristic
253C23×Dic17C2311yescharacteristic
254C23×Dic17C2311yescharacteristic
255C23×Dic17C2311yescharacteristic
256C23×Dic17C2311yescharacteristic
257C23×Dic17C2311yescharacteristic
258C23×Dic17C2311yescharacteristic
259C23×Dic17C2311yescharacteristic
260C23×Dic17C2311yescharacteristic
261C23×Dic17C2311yescharacteristic
262C2×Q8×D17—44no—
263C2×Q8×D17C2318yescomplemented
264C2×#63254—28no—
265C2×#63254—44no—
266C2×#63254—44no—
267C2×#63254C2318yes—
268C2×#63254C2318yescomplemented
269C2×#63254C2318yescomplemented
270C2×D4×D17—28no—
271C2×D4×D17—44no—
272C2×D4×D17C2318yes—
273C2×D4×D17C2318yes—
274C22×D68C2311yescharacteristic
275C22×D68C2311yescharacteristic
276C22×D68C2311yescharacteristic
277C22×C4×D17C2311yescharacteristic
278C22×C4×D17C2311yescharacteristic
279C22×C4×D17C2311yescharacteristic
280C22×C4×D17C2311yescharacteristic
281C22×C4×D17C2311yescharacteristic
282C22×C4×D17C2311yescharacteristic
283C22×C4×D17C2311yescharacteristic
284C22×C4×D17C2311yescharacteristic
285C22×C4×D17C2311yescharacteristic
286C22×C4×D17C2311yescharacteristic
287C22×Dic34—44no—
288C22×Dic34C2311yescharacteristic
289C22×Dic34C2311yescharacteristic
290C22×Dic34C2311yescharacteristic
291C22×Dic34C2311yescharacteristic
292C22×Dic34C2311yescharacteristic
293C22×Dic34C2311yescharacteristic
294C22×Dic34C2311yescharacteristic
295C22×Dic34C2318yescomplemented
296C17×#126C2318yescomplemented
297C17×#126C2318yescomplemented
298C17×#124C2318yescomplemented
299C17×#124C2318yescomplemented
300C17×#123C2318yescomplemented
301C17×#123C2318yescomplemented
302C17×C22⋊Q8C2318yescomplemented
303C17×#121C2318yescomplemented
304C17×#121C2318yescomplemented
305C17×#121C2318yescomplemented
306C17×#120C2318yes—
307C17×#120C2318yescomplemented
308C4×D4×C17C2318yescomplemented
309C4×D4×C17C2318yescomplemented
310C2×C4⋊C4×C17C2311yescharacteristic
311C2×C4⋊C4×C17C2311yescharacteristic
312C2×C4⋊C4×C17C2311yescharacteristic
313C2×C4⋊C4×C17C2311yescharacteristic
314C2×C4⋊C4×C17C2311yescharacteristic
315C2×C4⋊C4×C17C2311yescharacteristic
316C2×C22⋊C4×C17C2311yescharacteristic
317C2×C22⋊C4×C17C2311yescharacteristic
318C2×C22⋊C4×C17C2311yescharacteristic
319C2×C22⋊C4×C17C2311yescharacteristic
320C2×C22⋊C4×C17C2311yescharacteristic
321C2×C22⋊C4×C17C2311yescharacteristic
322C2×C22⋊C4×C17C2311yescharacteristic
323C2×C22⋊C4×C17C2311yescharacteristic
324C2×C22⋊C4×C17C2311yescharacteristic
325C2×C22⋊C4×C17C2311yescharacteristic
326C2×C22⋊C4×C17C2311yescharacteristic
327C2×C22⋊C4×C17C2311yescharacteristic
328C2×C22⋊C4×C17C2311yescharacteristic
329C2×C22⋊C4×C17C2311yescharacteristic
330C2×C22⋊C4×C17C2318yescomplemented
331C2×C42×C17C2311yescharacteristic
332C2×C42×C17C2311yescharacteristic
333C2×C22⋊Dic17C2311yescharacteristic
334C2×C22⋊Dic17C2311yescharacteristic
335C2×C22⋊Dic17C2311yescharacteristic
336C2×C22⋊Dic17C2311yescharacteristic
337C2×C22⋊Dic17C2311yescharacteristic
338C2×C22⋊Dic17C2311yescharacteristic
339C2×C22⋊Dic17C2311yescharacteristic
340C2×C22⋊Dic17C2311yescharacteristic
341C2×C22⋊Dic17C2311yescharacteristic
342C2×C22⋊Dic17C2311yescharacteristic
343C2×C22⋊Dic17C2311yescharacteristic
344C2×C22⋊Dic17C2311yescharacteristic
345C2×C22⋊Dic17C2311yescharacteristic
346C2×C22⋊Dic17C2311yescharacteristic
347C2×C22⋊Dic17C2318yescomplemented
348C2×C22⋊Dic17C2318yescomplemented
349#10587633C2318yescomplemented
350#10587632C2318yescomplemented
351#10587630C2318yescomplemented
352#10587626C2318yes—
353#10587625C2318yes—
354#10587625C2318yes—
355#10587625C2318yes—
356#10587625C2318yescomplemented
357#10587625C2318yescomplemented
358#10587625C2318yescomplemented
359#10587625C2318yescomplemented
360#10587624C2318yescomplemented
361#10587624C2318yescomplemented
362#10587623C2318yes—
363#10587623C2318yescomplemented
364#10587623C2318yescomplemented
365#10587623C2318yescomplemented
366#10587622C2318yescomplemented
367#10587622C2318yescomplemented
368#10587621C2318yescomplemented
369#10587621C2318yescomplemented
370#10587621C2318yescomplemented
371D4×Dic17C2318yescomplemented
372D4×Dic17C2318yescomplemented
373D4×Dic17C2318yescomplemented
374D4×Dic17C2318yescomplemented
375#10587616C2318yescomplemented
376#10587615C2318yescomplemented
377C4×C22⋊D17C2318yes—
378C4×C22⋊D17C2318yes—
379C4×C22⋊D17C2318yescomplemented
380C4×C22⋊D17C2318yescomplemented
381C4×C22⋊D17C2318yescomplemented
382C4×C22⋊D17C2318yescomplemented
383C4×C22⋊D17C2318yescomplemented
384C2×#63227C2311yescharacteristic
385C2×#63227C2311yescharacteristic
386C2×#63227C2311yescharacteristic
387C2×#63227C2311yescharacteristic
388C2×#63227C2311yescharacteristic
389C2×#63227C2311yescharacteristic
390C2×#63227C2311yescharacteristic
391C2×#63227C2311yescharacteristic
392C2×#63227C2311yescharacteristic
393C2×#63227C2311yescharacteristic
394C2×#63227C2311yescharacteristic
395C2×#63227C2311yescharacteristic
396C2×#63227C2311yescharacteristic
397C2×#63227C2311yescharacteristic
398C2×#63227C2311yescharacteristic
399C2×#63227C2311yescharacteristic
400C2×#63227C2311yescharacteristic
401C2×#63227C2311yescharacteristic
402C2×#63227C2311yescharacteristic
403C2×#63227C2311yescharacteristic
404C2×#63227C2311yescharacteristic
405C2×#63227C2311yescharacteristic
406C2×#63227C2311yescharacteristic
407C2×#63227C2311yescharacteristic
408C2×#63227C2318yescomplemented
409C2×#63227C2318yescomplemented
410C2×#63227C2318yescomplemented
411#10587612C2318yescomplemented
412C2×C4⋊Dic17C2311yescharacteristic
413C2×C4⋊Dic17C2311yescharacteristic
414C2×C4⋊Dic17C2311yescharacteristic
415C2×C4⋊Dic17C2311yescharacteristic
416C2×C4⋊Dic17C2311yescharacteristic
417C2×C4⋊Dic17C2311yescharacteristic
418C2×#63225C2311yescharacteristic
419C2×#63225C2311yescharacteristic
420C2×#63225C2311yescharacteristic
421C2×#63225C2311yescharacteristic
422C2×#63225C2311yescharacteristic
423C2×#63225C2311yescharacteristic
424C2×#63225C2311yescharacteristic
425C2×#63225C2311yescharacteristic
426C2×#63225C2311yescharacteristic
427C2×#63225C2311yescharacteristic
428C2×#63225C2311yescharacteristic
429C2×#63225C2311yescharacteristic
430C2×#63225C2311yescharacteristic
431C2×#63225C2311yescharacteristic
432C2×#63225C2311yescharacteristic
433C2×#63225C2311yescharacteristic
434C2×C4×Dic17C2311yescharacteristic
435C2×C4×Dic17C2311yescharacteristic
436C2×C4×Dic17C2311yescharacteristic
437C2×C4×Dic17C2311yescharacteristic
438C2×C4×Dic17C2311yescharacteristic
439C2×C4×Dic17C2311yescharacteristic
440C2×C4×Dic17C2311yescharacteristic
441C2×C4×Dic17C2311yescharacteristic
442C2×C4×Dic17C2311yescharacteristic
443C2×C4×Dic17C2311yescharacteristic
444C2×C4×Dic17C2311yescharacteristic
445C2×C4×Dic17C2311yescharacteristic
446C2×C4×Dic17C2311yescharacteristic
447C2×C4×Dic17C2311yescharacteristic
448C2×C4×Dic17C2318yescomplemented
449C2×C4×Dic17C2318yescomplemented
450#10587584C2318yescomplemented
451#10587584C2318yescomplemented
452#10587584C2318yescomplemented
453#10587584C2318yescomplemented
454#10587583C2318yescomplemented
455#10587583C2318yescomplemented
456#10587582C2318yescomplemented
457#10587582C2318yescomplemented
458#10587582C2318yescomplemented
459#10587580C2318yescomplemented
460#10587580C2318yescomplemented
461#10587580C2318yescomplemented
462#10587580C2318yescomplemented
463#10587579C2318yescomplemented
464#10587579C2318yescomplemented
465#10587578C2318yescomplemented
466#10587578C2318yescomplemented
467#10587578C2318yescomplemented
468#10587575C2318yescomplemented
469#10587574C2318yescomplemented
470#10587574C2318yescomplemented
471#10587573C2318yescomplemented
472#10587573C2318yescomplemented
473#10587573C2318yescomplemented
474#10587572C2318yescomplemented
475#10587572C2318yescomplemented
476#10587571C2318yes—
477#10587571C2318yes—
478#10587571C2318yes—
479#10587571C2318yescomplemented
480#10587571C2318yescomplemented
481#10587571C2318yescomplemented
482#10587571C2318yescomplemented
483#10587571C2318yescomplemented
484#10587571C2318yescomplemented
485#10587571C2318yescomplemented
486#10587571C2318yescomplemented
487#10587571C2318yescomplemented
488#10587571C2318yescomplemented
489#10587571C2318yescomplemented
490#10587571C2318yescomplemented
491#10587570C2318yes—
492#10587570C2318yes—
493#10587570C2318yescomplemented
494#10587570C2318yescomplemented
495#10587569C2318yescomplemented
496#10587569C2318yescomplemented
497#10587568C2318yes—
498#10587568C2318yes—
499#10587567C2318yes—
500#10587567C2318yes—
501#10587567C2318yes—
502#10587567C2318yescomplemented
503#10587567C2318yescomplemented
504#10587567C2318yescomplemented
505#10587567C2318yescomplemented
506#10587567C2318yescomplemented
507#10587567C2318yescomplemented
508#10587567C2318yescomplemented
509#10587567C2318yescomplemented
510C22⋊C4×D17C2318yescomplemented
511C22⋊C4×D17C2318yescomplemented
512C22⋊C4×D17C2318yescomplemented
513C22⋊C4×D17C2318yescomplemented
514C22⋊C4×D17C2318yescomplemented
515C22⋊C4×D17C2318yescomplemented
516#10587565C2318yescomplemented
517#10587565C2318yescomplemented
518#10587565C2318yescomplemented
519#10587564C2318yescomplemented
520#10587564C2318yescomplemented
521#10587564C2318yescomplemented
522#10587564C2318yescomplemented
523#10587564C2318yescomplemented
524#10587564C2318yescomplemented
525#10587563C2318yescomplemented
526#10587563C2318yescomplemented
527#10587563C2318yescomplemented
528#10587563C2318yescomplemented
529#10587563C2318yescomplemented
530#10587562C2318yescomplemented
531#10587561C2318yescomplemented
532C4×D68C2318yescomplemented
533#10587558C2318yescomplemented
534#10587558C2318yescomplemented
535C42×D17C2318yescomplemented
536C4×Dic34C2318yescomplemented
537C4×Dic34C2318yescomplemented
538C24×C17—24no—
539C24×C17—42no—
540C24×C17—42no—
541C24×C17C2411yescharacteristic
542C24×C17C2411yescharacteristic
543C24×C17C2411yescharacteristic
544C24×C17C2411yescharacteristic
545C24×C17C2411yescharacteristic
546C24×C17C2414yes—
547C23×D17—24no—
548C23×D17—24no—
549C23×D17—24no—
550C23×D17—42no—
551C23×D17—42no—
552C23×D17—42no—
553C23×D17—42no—
554C23×D17—42no—
555C23×D17—42no—
556C23×D17C2411yescharacteristic
557C23×D17C2411yescharacteristic
558C23×D17C2411yescharacteristic
559C23×D17C2411yescharacteristic
560C23×D17C2414yes—
561C23×D17C2414yes—
562C23×D17C2414yes—
563C2×Q8×C17—42no—
564C2×Q8×C17C2414yes—
565C2×D4×C17—24no—
566C2×D4×C17—24no—
567C2×D4×C17—42no—
568C2×D4×C17—42no—
569C2×D4×C17—42no—
570C2×D4×C17—42no—
571C2×D4×C17—42no—
572C2×D4×C17C2414yes—
573C2×D4×C17C2414yes—
574C2×D4×C17C2414yes—
575C2×D4×C17C2414yes—
576C2×D4×C17C2414yes—
577C2×D4×C17C2414yes—
578C2×D4×C17C2414yes—
579C22×C4×C17—42no—
580C22×C4×C17—42no—
581C22×C4×C17—42no—
582C22×C4×C17—42no—
583C22×C4×C17C2411yescharacteristic
584C22×C4×C17C2411yescharacteristic
585C22×C4×C17C2411yescharacteristic
586C22×C4×C17C2411yescharacteristic
587C22×C4×C17C2411yescharacteristic
588C22×C4×C17C2411yescharacteristic
589C22×C4×C17C2411yescharacteristic
590C22×C4×C17C2411yescharacteristic
591C22×C4×C17C2411yescharacteristic
592C22×C4×C17C2411yescharacteristic
593C22×C4×C17C2414yes—
594C22×C4×C17C2414yes—
595C22×C4×C17C2414yes—
596C22×C4×C17C2414yes—
597C2×C22⋊D17—24no—
598C2×C22⋊D17—24no—
599C2×C22⋊D17—24no—
600C2×C22⋊D17—232no—
601C2×C22⋊D17—24no—
602C2×C22⋊D17—24no—
603C2×C22⋊D17—24no—
604C2×C22⋊D17—24no—
605C2×C22⋊D17—24no—
606C2×C22⋊D17—416no—
607C2×C22⋊D17—42no—
608C2×C22⋊D17—42no—
609C2×C22⋊D17—42no—
610C2×C22⋊D17—42no—
611C2×C22⋊D17—42no—
612C2×C22⋊D17#4118yescomplemented
613C2×C22⋊D17C2414yes—
614C2×C22⋊D17C2414yes—
615C2×C22⋊D17C2414yes—
616C2×C22⋊D17C2414yes—
617C2×C22⋊D17C2414yes—
618C2×C22⋊D17C2414yes—
619C2×C22⋊D17C2414yes—
620C2×C22⋊D17C2414yes—
621C2×C22⋊D17C2414yes—
622C2×C22⋊D17C2414yes—
623C2×C22⋊D17C2414yes—
624C2×C22⋊D17C2414yes—
625C2×C22⋊D17C2414yes—
626C2×C22⋊D17C2414yes—
627C22×Dic17—24no—
628C22×Dic17—24no—
629C22×Dic17—24no—
630C22×Dic17—24no—
631C22×Dic17—24no—
632C22×Dic17—42no—
633C22×Dic17—42no—
634C22×Dic17—42no—
635C22×Dic17—42no—
636C22×Dic17C2411yescharacteristic
637C22×Dic17C2411yescharacteristic
638C22×Dic17C2411yescharacteristic
639C22×Dic17C2411yescharacteristic
640C22×Dic17C2411yescharacteristic
641C22×Dic17C2414yes—
642C22×Dic17C2411yescharacteristic
643C22×Dic17C2411yescharacteristic
644C22×Dic17C2411yescharacteristic
645C22×Dic17C2411yescharacteristic
646C22×Dic17C2414yes—
647C22×Dic17C2414yes—
648C22×Dic17C2414yes—
649C22×Dic17C2414yes—
650C22×Dic17C2411yescharacteristic
651C22×Dic17C2414yes—
652C22×Dic17C2414yes—
653C22×Dic17C2414yes—
654C22×Dic17C2414yes—
655C22×Dic17C2411yescharacteristic
656C22×Dic17C2411yescharacteristic
657Q8×D17—416no—
658#63254—232no—
659#63254—416no—
660#63254—416no—
661D4×D17—232no—
662D4×D17—416no—
663C2×D68—24no—
664C2×D68—42no—
665C2×D68—42no—
666C2×D68C2414yes—
667C2×D68C2414yes—
668C2×D68C2414yes—
669C2×C4×D17—24no—
670C2×C4×D17—24no—
671C2×C4×D17—24no—
672C2×C4×D17—42no—
673C2×C4×D17—42no—
674C2×C4×D17—42no—
675C2×C4×D17—42no—
676C2×C4×D17—42no—
677C2×C4×D17—42no—
678C2×C4×D17—42no—
679C2×C4×D17C2414yes—
680C2×C4×D17C2414yes—
681C2×C4×D17C2414yes—
682C2×C4×D17C2414yes—
683C2×C4×D17C2414yes—
684C2×C4×D17C2414yes—
685C2×C4×D17C2414yes—
686C2×C4×D17C2414yes—
687C2×C4×D17C2414yes—
688C2×C4×D17C2414yes—
689C2×Dic34—24no—
690C2×Dic34—24no—
691C2×Dic34—24no—
692C2×Dic34—24no—
693C2×Dic34—416no—
694C2×Dic34—42no—
695C2×Dic34—42no—
696C2×Dic34—42no—
697C2×Dic34C2414yes—
698C2×Dic34C2414yes—
699C2×Dic34C2414yes—
700C2×Dic34C2414yes—
701C2×Dic34C2414yes—
702C2×Dic34C2414yes—
703C2×Dic34C2414yes—
704C4⋊C4×C17C2414yes—
705C4⋊C4×C17C2414yes—
706C4⋊C4×C17C2414yes—
707C4⋊C4×C17C2414yes—
708C4⋊C4×C17C2414yes—
709C4⋊C4×C17C2414yes—
710C22⋊C4×C17C2414yes—
711C22⋊C4×C17C2414yes—
712C22⋊C4×C17C2414yes—
713C22⋊C4×C17C2414yes—
714C22⋊C4×C17C2414yes—
715C22⋊C4×C17C2414yes—
716C22⋊C4×C17C2414yes—
717C22⋊C4×C17C2414yes—
718C22⋊C4×C17C2414yes—
719C22⋊C4×C17C2414yes—
720C22⋊C4×C17C2414yes—
721C22⋊C4×C17C2414yes—
722C22⋊C4×C17C2414yes—
723C22⋊C4×C17C2414yes—
724C42×C17C2414yes—
725C42×C17C2414yes—
726C22⋊Dic17C2414yes—
727C22⋊Dic17C2414yes—
728C22⋊Dic17C2414yes—
729C22⋊Dic17C2414yes—
730C22⋊Dic17C2414yes—
731C22⋊Dic17C2414yes—
732C22⋊Dic17C2414yes—
733C22⋊Dic17C2414yes—
734C22⋊Dic17C2414yes—
735C22⋊Dic17C2414yes—
736C22⋊Dic17C2414yes—
737C22⋊Dic17C2414yes—
738C22⋊Dic17C2414yes—
739C22⋊Dic17C2414yes—
740#63227C2414yes—
741#63227C2414yes—
742#63227C2414yes—
743#63227C2414yes—
744#63227C2414yes—
745#63227C2414yes—
746#63227C2414yes—
747#63227C2414yes—
748#63227C2414yes—
749#63227C2414yes—
750#63227C2414yes—
751#63227C2414yes—
752#63227C2414yes—
753#63227C2414yes—
754#63227C2414yes—
755#63227C2414yes—
756#63227C2414yes—
757#63227C2414yes—
758#63227C2414yes—
759#63227C2414yes—
760#63227C2414yes—
761#63227C2414yes—
762#63227C2414yes—
763#63227C2414yes—
764C4⋊Dic17C2414yes—
765C4⋊Dic17C2414yes—
766C4⋊Dic17C2414yes—
767C4⋊Dic17C2414yes—
768C4⋊Dic17C2414yes—
769C4⋊Dic17C2414yes—
770#63225C2414yes—
771#63225C2414yes—
772#63225C2414yes—
773#63225C2414yes—
774#63225C2414yes—
775#63225C2414yes—
776#63225C2414yes—
777#63225C2414yes—
778#63225C2414yes—
779#63225C2414yes—
780#63225C2414yes—
781#63225C2414yes—
782#63225C2414yes—
783#63225C2414yes—
784#63225C2414yes—
785#63225C2414yes—
786C4×Dic17C2414yes—
787C4×Dic17C2414yes—
788C4×Dic17C2414yes—
789C4×Dic17C2414yes—
790C4×Dic17C2414yes—
791C4×Dic17C2414yes—
792C4×Dic17C2414yes—
793C4×Dic17C2414yes—
794C4×Dic17C2414yes—
795C4×Dic17C2414yes—
796C4×Dic17C2414yes—
797C4×Dic17C2414yes—
798C4×Dic17C2414yes—
799C4×Dic17C2414yes—
800C2×#3514—171nomaximal, Sylow
801C23×C17—22no—
802C23×C17—22no—
803C23×C17—22no—
804C23×C17—22no—
805C23×C17—22no—
806C23×C17—22no—
807C23×C17—22no—
808C23×C17—22no—
809C23×C17—22no—
810C23×C17—22no—
811C23×C17—22no—
812C23×C17—22no—
813C23×C17—22no—
814C23×C17—22no—
815C23×C17—28no—
816C23×C17—44no—
817C23×C17—44no—
818C23×C17—88no—
819C23×C17C2×#4114yes—
820C23×C17C2512yes—
821C23×C17C2512yes—
822C23×C17C2512yes—
823C23×C17C2512yes—
824C23×C17C2512yes—
825C23×C17C2511yescharacteristic
826C22×D17—22no—
827C22×D17—22no—
828C22×D17—22no—
829C22×D17—22no—
830C22×D17—22no—
831C22×D17—22no—
832C22×D17—22no—
833C22×D17—22no—
834C22×D17—22no—
835C22×D17—22no—
836C22×D17—22no—
837C22×D17—28no—
838C22×D17—28no—
839C22×D17—28no—
840C22×D17—44no—
841C22×D17—44no—
842C22×D17—44no—
843C22×D17—44no—
844C22×D17—44no—
845C22×D17—44no—
846C22×D17—88no—
847C22×D17—88no—
848C22×D17—88no—
849C22×D17C2×#4114yes—
850C22×D17C2512yes—
851C22×D17C2512yes—
852C22×D17C2512yes—
853C22×D17C2512yes—
854Q8×C17—44no—
855D4×C17—28no—
856D4×C17—28no—
857D4×C17—44no—
858D4×C17—44no—
859D4×C17—44no—
860D4×C17—44no—
861D4×C17—44no—
862C2×C4×C17—22no—
863C2×C4×C17—22no—
864C2×C4×C17—22no—
865C2×C4×C17—22no—
866C2×C4×C17—22no—
867C2×C4×C17—22no—
868C2×C4×C17—22no—
869C2×C4×C17—22no—
870C2×C4×C17—22no—
871C2×C4×C17—22no—
872C2×C4×C17—44no—
873C2×C4×C17—44no—
874C2×C4×C17—44no—
875C2×C4×C17—44no—
876C2×C4×C17C2512yes—
877C2×C4×C17C2512yes—
878C2×C4×C17C2512yes—
879C2×C4×C17C2512yes—
880C2×C4×C17C2512yes—
881C2×C4×C17C2512yes—
882C2×C4×C17C2512yes—
883C2×C4×C17C2512yes—
884C2×C4×C17C2512yes—
885C2×C4×C17C2512yes—
886C22⋊D17—28no—
887C22⋊D17—28no—
888C22⋊D17—28no—
889C22⋊D17—28no—
890C22⋊D17—28no—
891C22⋊D17—28no—
892C22⋊D17—28no—
893C22⋊D17—28no—
894C22⋊D17—44no—
895C22⋊D17—44no—
896C22⋊D17—44no—
897C22⋊D17—44no—
898C22⋊D17—44no—
899C22⋊D17C2×#41116yescomplemented
900C2×Dic17—22no—
901C2×Dic17—22no—
902C2×Dic17—28no—
903C2×Dic17—22no—
904C2×Dic17—22no—
905C2×Dic17—22no—
906C2×Dic17—22no—
907C2×Dic17—22no—
908C2×Dic17—22no—
909C2×Dic17—22no—
910C2×Dic17—22no—
911C2×Dic17—28no—
912C2×Dic17—28no—
913C2×Dic17—28no—
914C2×Dic17—28no—
915C2×Dic17—44no—
916C2×Dic17—44no—
917C2×Dic17—44no—
918C2×Dic17—44no—
919C2×Dic17C2×#4114yes—
920C2×Dic17H(5,𝔽2)14yes—
921C2×Dic17C2512yes—
922C2×Dic17C2512yes—
923C2×Dic17C2512yes—
924C2×Dic17C2512yes—
925C2×Dic17C2512yes—
926C2×Dic17C2512yes—
927C2×Dic17C2512yes—
928C2×Dic17C2512yes—
929C2×Dic17C2512yes—
930C2×Dic17C2512yes—
931C2×Dic17C2512yes—
932C2×Dic17C2512yes—
933D68—28no—
934D68—44no—
935D68—44no—
936C4×D17—28no—
937C4×D17—28no—
938C4×D17—28no—
939C4×D17—44no—
940C4×D17—44no—
941C4×D17—44no—
942C4×D17—44no—
943C4×D17—44no—
944C4×D17—44no—
945C4×D17—44no—
946Dic34—28no—
947Dic34—28no—
948Dic34—28no—
949Dic34—28no—
950Dic34—44no—
951Dic34—44no—
952Dic34—44no—
953#3514—1732no—
954C2×#559—171no—
955C2×#556—171no—
956C2×#555—171no—
957C2×#555—171no—
958C2×#551—171no—
959C2×#551—171no—
960C2×#551—171no—
961C2×#551—171no—
962C2×D4×Q8—171no—
963C2×#548—171no—
964C2×#548—171no—
965C2×#546—171no—
966C2×#546—171no—
967C2×#546—171no—
968C2×#546—171no—
969C2×D42—171no—
970C2×#542—171no—
971C2×#542—171no—
972C2×#538—171no—
973C2×#538—171no—
974C2×#538—171no—
975C2×#538D1711yescharacteristic, complemented
976C2×#532—171no—
977C2×#529—171no—
978C2×#529—171no—
979C2×#529—171no—
980C22×#124—171no—
981C22×#124—171no—
982C2×#518—171no—
983C2×#518—171no—
984C2×C4×#41—171no—
985C22×C17—22no—
986C22×C17—22no—
987C22×C17—28no—
988C22×C17—22no—
989C22×C17—22no—
990C22×C17—22no—
991C22×C17—22no—
992C22×C17—22no—
993C22×C17—22no—
994C22×C17—22no—
995C22×C17—22no—
996C22×C17—22no—
997C22×C17—22no—
998C22×C17—22no—
999C22×C17—22no—
1000C22×C17—44no—
1001C22×C17—44no—
1002C22×C17—44no—
1003C22×C17—44no—
1004C22×C17—88no—
1005C22×C17C22×#4114yes—
1006C22×C17C22×#4112yes—
1007C22×C17C2×H(5,𝔽2)12yes—
1008C22×C17#58512yes—
1009C22×C17C2611yescharacteristic
1010C2×D17—22no—
1011C2×D17—22no—
1012C2×D17—28no—
1013C2×D17—22no—
1014C2×D17—22no—
1015C2×D17—22no—
1016C2×D17—22no—
1017C2×D17—22no—
1018C2×D17—22no—
1019C2×D17—22no—
1020C2×D17—22no—
1021C2×D17—22no—
1022C2×D17—44no—
1023C2×D17—44no—
1024C2×D17—44no—
1025C2×D17—88no—
1026C2×D17—88no—
1027C2×D17—88no—
1028C2×D17C22×#4114yes—
1029C4×C17—22no—
1030C4×C17—22no—
1031C4×C17—22no—
1032C4×C17—22no—
1033C4×C17—22no—
1034C4×C17—22no—
1035C4×C17—22no—
1036C4×C17—22no—
1037C4×C17—22no—
1038C4×C17—22no—
1039Dic17—22no—
1040Dic17—22no—
1041Dic17—22no—
1042Dic17—22no—
1043Dic17—22no—
1044Dic17—22no—
1045Dic17—22no—
1046Dic17—22no—
1047Dic17—22no—
1048Dic17—22no—
1049Dic17C22×#4114yes—
1050Dic17C2×H(5,𝔽2)14yes—
1051C22×#41—171no—
1052C22×#41—171no—
1053C22×#41—171no—
1054C23×Q8—171no—
1055C23×Q8—171no—
1056C23×D4—171no—
1057C23×D4—171no—
1058C23×D4—171no—
1059C23×D4—171no—
1060#559—1716no—
1061#556—1716no—
1062#555—1716no—
1063#555—1716no—
1064#551—1716no—
1065#551—1716no—
1066#551—1716no—
1067#551—1716no—
1068D4×Q8—1716no—
1069#548—1716no—
1070#548—1716no—
1071#546—1716no—
1072#546—1716no—
1073#546—1716no—
1074#546—1716no—
1075D42—1716no—
1076#542—1716no—
1077#542—1716no—
1078#538—1716no—
1079#538—1716no—
1080#538—1716no—
1081#538C2×D17116yescomplemented
1082#532—1716no—
1083C2×C4⋊Q8—171no—
1084C2×C4⋊Q8—171no—
1085C2×C4⋊Q8—171no—
1086C2×#127—171no—
1087#529—1716no—
1088#529—1716no—
1089#529—1716no—
1090C2×#126—171no—
1091C2×#126—171no—
1092C2×#126—171no—
1093C2×#126—171no—
1094C2×#126—171no—
1095C2×#126—171no—
1096C2×#126—171no—
1097C2×#126—171no—
1098C2×#126C2×D1711yescharacteristic, complemented
1099C2×#126C2×D1711yescharacteristic, complemented
1100C2×#125—171no—
1101C2×#124—171no—
1102C2×#124—171no—
1103C2×#124—171no—
1104C2×#124—1716no—
1105C2×#124—171no—
1106C2×#124—171no—
1107C2×#124—171no—
1108C2×#124—171no—
1109C2×#124—171no—
1110C2×#124—171no—
1111C2×#124—171no—
1112C2×#124—171no—
1113C2×#124—171no—
1114C2×#124—171no—
1115C2×#124—171no—
1116C2×#124—171no—
1117C2×#124—171no—
1118C2×#124—171no—
1119C2×#124—171no—
1120C2×#124—1716no—
1121C2×#124—171no—
1122C2×#124C2×D1711yescharacteristic, complemented
1123C2×#124C2×D1711yescharacteristic, complemented
1124C2×#123—171no—
1125C2×#123—171no—
1126C2×#123—171no—
1127C2×#123—171no—
1128C2×#123—171no—
1129C2×#123—171no—
1130C2×#123—171no—
1131C2×#123—171no—
1132C2×#123—171no—
1133C2×#123—171no—
1134C2×#123—171no—
1135C2×#123—171no—
1136C2×#123C2×D1711yescharacteristic, complemented
1137C2×#123C2×D1711yescharacteristic, complemented
1138C2×C22⋊Q8—171no—
1139C2×C22⋊Q8—171no—
1140C2×C22⋊Q8—171no—
1141C2×C22⋊Q8—171no—
1142C2×C22⋊Q8—171no—
1143C2×C22⋊Q8—171no—
1144C2×C22⋊Q8—171no—
1145C2×C22⋊Q8—171no—
1146C2×C22⋊Q8—171no—
1147C2×C22⋊Q8—171no—
1148C2×C22⋊Q8—171no—
1149C2×C22⋊Q8—171no—
1150C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1151C2×#121—171no—
1152C2×#121—171no—
1153C2×#121—171no—
1154C2×#121—171no—
1155C2×#121—171no—
1156C2×#121—171no—
1157C2×#121—171no—
1158C2×#121—171no—
1159C2×#121—171no—
1160C2×#121—171no—
1161C2×#121—171no—
1162C2×#121—171no—
1163C2×#121—171no—
1164C2×#121—171no—
1165C2×#121C2×D1711yescharacteristic, complemented
1166C2×#121C2×D1711yescharacteristic, complemented
1167C2×#121C2×D1711yescharacteristic, complemented
1168C2×#120—171no—
1169C2×#120—171no—
1170C2×#120—171no—
1171C2×#120—171no—
1172C2×#120—171no—
1173C2×#120—171no—
1174C2×#120C2×D1711yescharacteristic
1175C2×#120C2×D1711yescharacteristic, complemented
1176#518—1716no—
1177#518—1716no—
1178C4×#41—1716no—
1179C2×C4×Q8—171no—
1180C2×C4×Q8—171no—
1181C2×C4×Q8—171no—
1182C2×C4×Q8—171no—
1183C2×C4×Q8—171no—
1184C2×C4×D4—171no—
1185C2×C4×D4—171no—
1186C2×C4×D4—171no—
1187C2×C4×D4—171no—
1188C2×C4×D4—171no—
1189C2×C4×D4—171no—
1190C2×C4×D4—171no—
1191C2×C4×D4—171no—
1192C2×C4×D4—171no—
1193C2×C4×D4—171no—
1194C2×C4×D4—171no—
1195C2×C4×D4—171no—
1196C2×C4×D4—171no—
1197C2×C4×D4—171no—
1198C2×C4×D4—171no—
1199C2×C4×D4—171no—
1200C2×C4×D4—171no—
1201C2×C4×D4—171no—
1202C2×C4×D4—171no—
1203C2×C4×D4—171no—
1204C2×C4×D4—171no—
1205C2×C4×D4—171no—
1206C2×C4×D4—171no—
1207C2×C4×D4—171no—
1208C2×C4×D4—171no—
1209C2×C4×D4C2×D1711yescharacteristic, complemented
1210C2×C4×D4C2×D1711yescharacteristic, complemented
1211C2×#117—171no—
1212C2×#117—171no—
1213C2×#117—171no—
1214C2×#117—171no—
1215C2×#117—171no—
1216C2×#117—171no—
1217C2×#117—171no—
1218C2×#117—171no—
1219C2×#117—171no—
1220C2×#117—171no—
1221C2×#117—171no—
1222C22×C22⋊C4—171no—
1223C22×C22⋊C4—171no—
1224C22×C22⋊C4—171no—
1225C22×C22⋊C4—171no—
1226C22×C22⋊C4—171no—
1227C22×C22⋊C4—171no—
1228C22×C22⋊C4—171no—
1229C22×C22⋊C4—171no—
1230C22×C22⋊C4—171no—
1231C22×C22⋊C4—171no—
1232C22×C22⋊C4—171no—
1233C22×C22⋊C4C2×D1711yescharacteristic, complemented
1234C22×C42—171no—
1235C22×C42—171no—
1236C22×C42—171no—
1237C2×C17—24no—
1238C2×C17—42no—
1239C2×C17—42no—
1240C2×C17—42no—
1241C2×C17—42no—
1242C2×C17#351414yescomplemented
1243C2×C17C23×#4111yescharacteristic
1244C2×C17C22×H(5,𝔽2)11yescharacteristic
1245C2×C17C2×#58511yescharacteristic
1246D17—24no—
1247D17—42no—
1248D17—42no—
1249D17—42no—
1250C25—171no—
1251C25—171no—
1252C25—171no—
1253C25C22×D1711yescharacteristic
1254C2×#41—178no—
1255C2×#41—178no—
1256C2×#41—178no—
1257C2×#41—348no—
1258C2×#41—684no—
1259C2×#41—684no—
1260C22×Q8—178no—
1261C22×Q8—171no—
1262C22×Q8—171no—
1263C22×Q8—171no—
1264C22×Q8—171no—
1265C22×Q8—171no—
1266C22×Q8—171no—
1267C22×Q8—171no—
1268C22×Q8—178no—
1269C22×Q8—684no—
1270C22×Q8—684no—
1271C22×Q8C22×D1711yescharacteristic
1272C22×D4—171no—
1273C22×D4—171no—
1274C22×D4—171no—
1275C22×D4—171no—
1276C22×D4—171no—
1277C22×D4—171no—
1278C22×D4—171no—
1279C22×D4—171no—
1280C22×D4—171no—
1281C22×D4—178no—
1282C22×D4—171no—
1283C22×D4—171no—
1284C22×D4—171no—
1285C22×D4—171no—
1286C22×D4—171no—
1287C22×D4—178no—
1288C22×D4—178no—
1289C22×D4—178no—
1290C22×D4—171no—
1291C22×D4—171no—
1292C22×D4—171no—
1293C22×D4—348no—
1294C22×D4—348no—
1295C22×D4—684no—
1296C22×D4—684no—
1297C22×D4C22×D1711yescharacteristic
1298C22×D4C22×D1711yescharacteristic
1299C22×D4C22×D1711yescharacteristic
1300C22×D4C22×D1711yescharacteristic
1301C22×D4C22×D1711yescharacteristic
1302C22×D4C22×D1711yescharacteristic
1303C22×D4C22×D1711yescharacteristic
1304C23×C4—171no—
1305C23×C4—171no—
1306C23×C4—171no—
1307C23×C4—171no—
1308C23×C4—171no—
1309C23×C4—171no—
1310C23×C4—171no—
1311C23×C4—171no—
1312C23×C4—171no—
1313C23×C4—171no—
1314C23×C4—171no—
1315C23×C4—171no—
1316C23×C4—171no—
1317C23×C4—171no—
1318C23×C4—171no—
1319C23×C4—171no—
1320C23×C4—171no—
1321C23×C4—171no—
1322C23×C4—171no—
1323C23×C4C22×D1711yescharacteristic
1324C23×C4C22×D1711yescharacteristic
1325C23×C4C22×D1711yescharacteristic
1326C23×C4C22×D1711yescharacteristic
1327C4⋊Q8—178no—
1328C4⋊Q8—178no—
1329C4⋊Q8—178no—
1330#127—178no—
1331#126—178no—
1332#126—178no—
1333#126—178no—
1334#126—178no—
1335#126—178no—
1336#126—178no—
1337#126—178no—
1338#126—178no—
1339#126C22×D1718yescomplemented
1340#126C22×D1718yescomplemented
1341#125—178no—
1342#124—178no—
1343#124—178no—
1344#124—178no—
1345#124—178no—
1346#124—178no—
1347#124—178no—
1348#124—178no—
1349#124—178no—
1350#124—178no—
1351#124—178no—
1352#124—178no—
1353#124—178no—
1354#124—178no—
1355#124—178no—
1356#124—178no—
1357#124—178no—
1358#124—178no—
1359#124—178no—
1360#124—178no—
1361#124C22×D1718yescomplemented
1362#124C22×D1718yescomplemented
1363#123—178no—
1364#123—178no—
1365#123—178no—
1366#123—178no—
1367#123—178no—
1368#123—178no—
1369#123—178no—
1370#123—178no—
1371#123—178no—
1372#123—178no—
1373#123—178no—
1374#123—178no—
1375#123C22×D1718yescomplemented
1376#123C22×D1718yescomplemented
1377C22⋊Q8—178no—
1378C22⋊Q8—178no—
1379C22⋊Q8—178no—
1380C22⋊Q8—178no—
1381C22⋊Q8—178no—
1382C22⋊Q8—178no—
1383C22⋊Q8—178no—
1384C22⋊Q8—178no—
1385C22⋊Q8—178no—
1386C22⋊Q8—178no—
1387C22⋊Q8—178no—
1388C22⋊Q8—178no—
1389C22⋊Q8C22×D1718yescomplemented
1390#121—178no—
1391#121—178no—
1392#121—178no—
1393#121—178no—
1394#121—178no—
1395#121—178no—
1396#121—178no—
1397#121—178no—
1398#121—178no—
1399#121—178no—
1400#121—178no—
1401#121—178no—
1402#121—178no—
1403#121—178no—
1404#121C22×D1718yescomplemented
1405#121C22×D1718yescomplemented
1406#121C22×D1718yescomplemented
1407#120—178no—
1408#120—178no—
1409#120—178no—
1410#120—178no—
1411#120—178no—
1412#120—178no—
1413#120C22×D1718yes—
1414#120C22×D1718yescomplemented
1415C4×Q8—178no—
1416C4×Q8—178no—
1417C4×Q8—178no—
1418C4×Q8—178no—
1419C4×Q8—178no—
1420C4×D4—178no—
1421C4×D4—178no—
1422C4×D4—178no—
1423C4×D4—178no—
1424C4×D4—178no—
1425C4×D4—178no—
1426C4×D4—178no—
1427C4×D4—178no—
1428C4×D4—178no—
1429C4×D4—178no—
1430C4×D4—178no—
1431C4×D4—178no—
1432C4×D4—178no—
1433C4×D4—178no—
1434C4×D4—178no—
1435C4×D4—178no—
1436C4×D4—178no—
1437C4×D4—178no—
1438C4×D4—178no—
1439C4×D4—178no—
1440C4×D4—178no—
1441C4×D4—178no—
1442C4×D4—178no—
1443C4×D4—178no—
1444C4×D4—178no—
1445C4×D4C22×D1718yescomplemented
1446C4×D4C22×D1718yescomplemented
1447#117—178no—
1448#117—178no—
1449#117—178no—
1450#117—178no—
1451#117—178no—
1452#117—178no—
1453#117—178no—
1454#117—178no—
1455#117—178no—
1456#117—178no—
1457#117—178no—
1458C2×C4⋊C4—171no—
1459C2×C4⋊C4—171no—
1460C2×C4⋊C4—171no—
1461C2×C4⋊C4—171no—
1462C2×C4⋊C4—171no—
1463C2×C4⋊C4—171no—
1464C2×C4⋊C4—171no—
1465C2×C4⋊C4—171no—
1466C2×C4⋊C4—171no—
1467C2×C4⋊C4—171no—
1468C2×C4⋊C4—171no—
1469C2×C4⋊C4—171no—
1470C2×C4⋊C4—171no—
1471C2×C4⋊C4—171no—
1472C2×C4⋊C4—171no—
1473C2×C4⋊C4—171no—
1474C2×C4⋊C4—171no—
1475C2×C4⋊C4—171no—
1476C2×C4⋊C4—171no—
1477C2×C4⋊C4—171no—
1478C2×C4⋊C4—171no—
1479C2×C4⋊C4—171no—
1480C2×C4⋊C4C22×D1711yescharacteristic
1481C2×C4⋊C4C22×D1711yescharacteristic
1482C2×C4⋊C4C22×D1711yescharacteristic
1483C2×C4⋊C4C22×D1711yescharacteristic
1484C2×C4⋊C4C22×D1711yescharacteristic
1485C2×C4⋊C4C22×D1711yescharacteristic
1486C2×C22⋊C4—171no—
1487C2×C22⋊C4—171no—
1488C2×C22⋊C4—171no—
1489C2×C22⋊C4—171no—
1490C2×C22⋊C4—171no—
1491C2×C22⋊C4—171no—
1492C2×C22⋊C4—171no—
1493C2×C22⋊C4—171no—
1494C2×C22⋊C4—178no—
1495C2×C22⋊C4—171no—
1496C2×C22⋊C4—171no—
1497C2×C22⋊C4—178no—
1498C2×C22⋊C4—171no—
1499C2×C22⋊C4—171no—
1500C2×C22⋊C4—171no—
1501C2×C22⋊C4—171no—
1502C2×C22⋊C4—171no—
1503C2×C22⋊C4—171no—
1504C2×C22⋊C4—171no—
1505C2×C22⋊C4—171no—
1506C2×C22⋊C4—171no—
1507C2×C22⋊C4—171no—
1508C2×C22⋊C4—171no—
1509C2×C22⋊C4—171no—
1510C2×C22⋊C4—171no—
1511C2×C22⋊C4—171no—
1512C2×C22⋊C4—171no—
1513C2×C22⋊C4—171no—
1514C2×C22⋊C4—171no—
1515C2×C22⋊C4—171no—
1516C2×C22⋊C4—178no—
1517C2×C22⋊C4—178no—
1518C2×C22⋊C4—171no—
1519C2×C22⋊C4—171no—
1520C2×C22⋊C4—171no—
1521C2×C22⋊C4—171no—
1522C2×C22⋊C4—178no—
1523C2×C22⋊C4—171no—
1524C2×C22⋊C4—171no—
1525C2×C22⋊C4—171no—
1526C2×C22⋊C4—171no—
1527C2×C22⋊C4—171no—
1528C2×C22⋊C4—171no—
1529C2×C22⋊C4—178no—
1530C2×C22⋊C4—178no—
1531C2×C22⋊C4—178no—
1532C2×C22⋊C4—178no—
1533C2×C22⋊C4—178no—
1534C2×C22⋊C4—178no—
1535C2×C22⋊C4C22×D1711yescharacteristic
1536C2×C22⋊C4C22×D1711yescharacteristic
1537C2×C22⋊C4C22×D1711yescharacteristic
1538C2×C22⋊C4C22×D1711yescharacteristic
1539C2×C22⋊C4C22×D1711yescharacteristic
1540C2×C22⋊C4C22×D1711yescharacteristic
1541C2×C22⋊C4C22×D1711yescharacteristic
1542C2×C22⋊C4C22×D1711yescharacteristic
1543C2×C22⋊C4C22×D1711yescharacteristic
1544C2×C22⋊C4C22×D1711yescharacteristic
1545C2×C22⋊C4C22×D1711yescharacteristic
1546C2×C22⋊C4C22×D1711yescharacteristic
1547C2×C22⋊C4C22×D1711yescharacteristic
1548C2×C22⋊C4C22×D1711yescharacteristic
1549C2×C22⋊C4C22×D1718yescomplemented
1550C2×C42—171no—
1551C2×C42—171no—
1552C2×C42—171no—
1553C2×C42—171no—
1554C2×C42—171no—
1555C2×C42—171no—
1556C2×C42—171no—
1557C2×C42—171no—
1558C2×C42—171no—
1559C2×C42—171no—
1560C2×C42—171no—
1561C2×C42—171no—
1562C2×C42—171no—
1563C2×C42—178no—
1564C2×C42—178no—
1565C2×C42—171no—
1566C2×C42—178no—
1567C2×C42C22×D1711yescharacteristic
1568C2×C42C22×D1711yescharacteristic
1569C17C2×#351411yescharacteristic, complemented, Sylow
1570C24—24no—
1571C24—42no—
1572C24—42no—
1573C24—171no—
1574C24—171no—
1575C24—171no—
1576C24—171no—
1577C24—174no—
1578C24—174no—
1579C24—174no—
1580C24—344no—
1581C24—344no—
1582C24—344no—
1583C24—682no—
1584C24—682no—
1585C24—682no—
1586C24—682no—
1587C24—682no—
1588C24—682no—
1589C24C23×D1711yescharacteristic
1590C24C23×D1711yescharacteristic
1591C24C23×D1711yescharacteristic
1592C24C23×D1711yescharacteristic
1593C24C23×D1711yescharacteristic
1594C24C23×D1714yes—
1595#41—3432no—
1596#41—6816no—
1597#41—6816no—
1598C2×Q8—42no—
1599C2×Q8—174no—
1600C2×Q8—174no—
1601C2×Q8—174no—
1602C2×Q8—174no—
1603C2×Q8—174no—
1604C2×Q8—174no—
1605C2×Q8—174no—
1606C2×Q8—344no—
1607C2×Q8—344no—
1608C2×Q8—344no—
1609C2×Q8—344no—
1610C2×Q8—682no—
1611C2×Q8—682no—
1612C2×Q8—682no—
1613C2×Q8—6816no—
1614C2×Q8—6816no—
1615C2×Q8C23×D1714yes—
1616C2×D4—24no—
1617C2×D4—24no—
1618C2×D4—42no—
1619C2×D4—42no—
1620C2×D4—42no—
1621C2×D4—42no—
1622C2×D4—42no—
1623C2×D4—178no—
1624C2×D4—174no—
1625C2×D4—174no—
1626C2×D4—174no—
1627C2×D4—174no—
1628C2×D4—174no—
1629C2×D4—174no—
1630C2×D4—174no—
1631C2×D4—174no—
1632C2×D4—174no—
1633C2×D4—174no—
1634C2×D4—174no—
1635C2×D4—174no—
1636C2×D4—174no—
1637C2×D4—174no—
1638C2×D4—174no—
1639C2×D4—174no—
1640C2×D4—174no—
1641C2×D4—344no—
1642C2×D4—344no—
1643C2×D4—344no—
1644C2×D4—344no—
1645C2×D4—344no—
1646C2×D4—344no—
1647C2×D4—3432no—
1648C2×D4—3432no—
1649C2×D4—344no—
1650C2×D4—344no—
1651C2×D4—344no—
1652C2×D4—682no—
1653C2×D4—682no—
1654C2×D4—6816no—
1655C2×D4—6816no—
1656C2×D4—682no—
1657C2×D4—682no—
1658C2×D4—682no—
1659C2×D4—682no—
1660C2×D4—682no—
1661C2×D4C23×D1714yes—
1662C2×D4C23×D1714yes—
1663C2×D4C23×D1714yes—
1664C2×D4C23×D1714yes—
1665C2×D4C23×D1714yes—
1666C2×D4C23×D1714yes—
1667C2×D4C23×D1714yes—
1668C22×C4—42no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—171no—
1673C22×C4—171no—
1674C22×C4—174no—
1675C22×C4—174no—
1676C22×C4—174no—
1677C22×C4—174no—
1678C22×C4—174no—
1679C22×C4—171no—
1680C22×C4—171no—
1681C22×C4—171no—
1682C22×C4—171no—
1683C22×C4—171no—
1684C22×C4—171no—
1685C22×C4—171no—
1686C22×C4—171no—
1687C22×C4—171no—
1688C22×C4—171no—
1689C22×C4—174no—
1690C22×C4—174no—
1691C22×C4—174no—
1692C22×C4—174no—
1693C22×C4—174no—
1694C22×C4—174no—
1695C22×C4—174no—
1696C22×C4—174no—
1697C22×C4—174no—
1698C22×C4—174no—
1699C22×C4—174no—
1700C22×C4—174no—
1701C22×C4—174no—
1702C22×C4—174no—
1703C22×C4—344no—
1704C22×C4—344no—
1705C22×C4—344no—
1706C22×C4—344no—
1707C22×C4—344no—
1708C22×C4—344no—
1709C22×C4—344no—
1710C22×C4—344no—
1711C22×C4—682no—
1712C22×C4—682no—
1713C22×C4—682no—
1714C22×C4—682no—
1715C22×C4—682no—
1716C22×C4—682no—
1717C22×C4—682no—
1718C22×C4—682no—
1719C22×C4—682no—
1720C22×C4—682no—
1721C22×C4—682no—
1722C22×C4C23×D1711yescharacteristic
1723C22×C4C23×D1711yescharacteristic
1724C22×C4C23×D1711yescharacteristic
1725C22×C4C23×D1711yescharacteristic
1726C22×C4C23×D1711yescharacteristic
1727C22×C4C23×D1711yescharacteristic
1728C22×C4C23×D1711yescharacteristic
1729C22×C4C23×D1711yescharacteristic
1730C22×C4C23×D1711yescharacteristic
1731C22×C4C23×D1711yescharacteristic
1732C22×C4C23×D1714yes—
1733C22×C4C23×D1714yes—
1734C22×C4C23×D1714yes—
1735C22×C4C23×D1714yes—
1736C4⋊C4—174no—
1737C4⋊C4—174no—
1738C4⋊C4—174no—
1739C4⋊C4—174no—
1740C4⋊C4—174no—
1741C4⋊C4—174no—
1742C4⋊C4—174no—
1743C4⋊C4—174no—
1744C4⋊C4—174no—
1745C4⋊C4—174no—
1746C4⋊C4—174no—
1747C4⋊C4—174no—
1748C4⋊C4—174no—
1749C4⋊C4—174no—
1750C4⋊C4—174no—
1751C4⋊C4—174no—
1752C4⋊C4—174no—
1753C4⋊C4—174no—
1754C4⋊C4—174no—
1755C4⋊C4—174no—
1756C4⋊C4—174no—
1757C4⋊C4—174no—
1758C4⋊C4C23×D1714yes—
1759C4⋊C4C23×D1714yes—
1760C4⋊C4C23×D1714yes—
1761C4⋊C4C23×D1714yes—
1762C4⋊C4C23×D1714yes—
1763C4⋊C4C23×D1714yes—
1764C22⋊C4—174no—
1765C22⋊C4—174no—
1766C22⋊C4—174no—
1767C22⋊C4—174no—
1768C22⋊C4—174no—
1769C22⋊C4—174no—
1770C22⋊C4—174no—
1771C22⋊C4—174no—
1772C22⋊C4—174no—
1773C22⋊C4—174no—
1774C22⋊C4—174no—
1775C22⋊C4—174no—
1776C22⋊C4—174no—
1777C22⋊C4—174no—
1778C22⋊C4—174no—
1779C22⋊C4—174no—
1780C22⋊C4—174no—
1781C22⋊C4—174no—
1782C22⋊C4—174no—
1783C22⋊C4—174no—
1784C22⋊C4—174no—
1785C22⋊C4—174no—
1786C22⋊C4—174no—
1787C22⋊C4—174no—
1788C22⋊C4—174no—
1789C22⋊C4—174no—
1790C22⋊C4—174no—
1791C22⋊C4—174no—
1792C22⋊C4—174no—
1793C22⋊C4—174no—
1794C22⋊C4—174no—
1795C22⋊C4—174no—
1796C22⋊C4—174no—
1797C22⋊C4—174no—
1798C22⋊C4—174no—
1799C22⋊C4—174no—
1800C22⋊C4—174no—
1801C22⋊C4—174no—
1802C22⋊C4C23×D1714yes—
1803C22⋊C4C23×D1714yes—
1804C22⋊C4C23×D1714yes—
1805C22⋊C4C23×D1714yes—
1806C22⋊C4C23×D1714yes—
1807C22⋊C4C23×D1714yes—
1808C22⋊C4C23×D1714yes—
1809C22⋊C4C23×D1714yes—
1810C22⋊C4C23×D1714yes—
1811C22⋊C4C23×D1714yes—
1812C22⋊C4C23×D1714yes—
1813C22⋊C4C23×D1714yes—
1814C22⋊C4C23×D1714yes—
1815C22⋊C4C23×D1714yes—
1816C42—174no—
1817C42—174no—
1818C42—174no—
1819C42—174no—
1820C42—174no—
1821C42—174no—
1822C42—174no—
1823C42—174no—
1824C42—174no—
1825C42—174no—
1826C42—174no—
1827C42—174no—
1828C42—174no—
1829C42—174no—
1830C42C23×D1714yes—
1831C42C23×D1714yes—
1832C23—22no—
1833C23—22no—
1834C23—22no—
1835C23—22no—
1836C23—22no—
1837C23—22no—
1838C23—22no—
1839C23—22no—
1840C23—22no—
1841C23—22no—
1842C23—22no—
1843C23—22no—
1844C23—22no—
1845C23—22no—
1846C23—28no—
1847C23—44no—
1848C23—44no—
1849C23—88no—
1850C23—174no—
1851C23—172no—
1852C23—172no—
1853C23—172no—
1854C23—172no—
1855C23—348no—
1856C23—348no—
1857C23—342no—
1858C23—342no—
1859C23—342no—
1860C23—342no—
1861C23—342no—
1862C23—342no—
1863C23—342no—
1864C23—342no—
1865C23—342no—
1866C23—342no—
1867C23—342no—
1868C23—348no—
1869C23—684no—
1870C23—684no—
1871C23—684no—
1872C23—684no—
1873C23—684no—
1874C23—684no—
1875C23—1368no—
1876C23—1368no—
1877C23—1368no—
1878C23#41×D1714yes—
1879C23C24×D1712yes—
1880C23C24×D1712yes—
1881C23C24×D1712yes—
1882C23C24×D1712yes—
1883C23C24×D1712yes—
1884C23C24×D1711yescharacteristic
1885Q8—44no—
1886Q8—348no—
1887Q8—348no—
1888Q8—348no—
1889Q8—348no—
1890Q8—684no—
1891Q8—684no—
1892Q8—684no—
1893D4—28no—
1894D4—28no—
1895D4—44no—
1896D4—44no—
1897D4—44no—
1898D4—44no—
1899D4—44no—
1900D4—1716no—
1901D4—348no—
1902D4—348no—
1903D4—348no—
1904D4—348no—
1905D4—348no—
1906D4—348no—
1907D4—348no—
1908D4—348no—
1909D4—348no—
1910D4—684no—
1911D4—684no—
1912D4—684no—
1913D4—684no—
1914D4—684no—
1915D4—684no—
1916D4—684no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—44no—
1928C2×C4—44no—
1929C2×C4—44no—
1930C2×C4—44no—
1931C2×C4—174no—
1932C2×C4—174no—
1933C2×C4—172no—
1934C2×C4—172no—
1935C2×C4—172no—
1936C2×C4—172no—
1937C2×C4—172no—
1938C2×C4—172no—
1939C2×C4—172no—
1940C2×C4—172no—
1941C2×C4—172no—
1942C2×C4—172no—
1943C2×C4—172no—
1944C2×C4—172no—
1945C2×C4—348no—
1946C2×C4—348no—
1947C2×C4—348no—
1948C2×C4—348no—
1949C2×C4—348no—
1950C2×C4—348no—
1951C2×C4—348no—
1952C2×C4—342no—
1953C2×C4—342no—
1954C2×C4—342no—
1955C2×C4—348no—
1956C2×C4—342no—
1957C2×C4—342no—
1958C2×C4—342no—
1959C2×C4—342no—
1960C2×C4—342no—
1961C2×C4—342no—
1962C2×C4—342no—
1963C2×C4—684no—
1964C2×C4—684no—
1965C2×C4—684no—
1966C2×C4—684no—
1967C2×C4—684no—
1968C2×C4—684no—
1969C2×C4—684no—
1970C2×C4—684no—
1971C2×C4—684no—
1972C2×C4—684no—
1973C2×C4—684no—
1974C2×C4C24×D1712yes—
1975C2×C4C24×D1712yes—
1976C2×C4C24×D1712yes—
1977C2×C4C24×D1712yes—
1978C2×C4C24×D1712yes—
1979C2×C4C24×D1712yes—
1980C2×C4C24×D1712yes—
1981C2×C4C24×D1712yes—
1982C2×C4C24×D1712yes—
1983C2×C4C24×D1712yes—
1984C22—28no—
1985C22—22no—
1986C22—22no—
1987C22—22no—
1988C22—22no—
1989C22—22no—
1990C22—22no—
1991C22—22no—
1992C22—22no—
1993C22—22no—
1994C22—22no—
1995C22—22no—
1996C22—22no—
1997C22—22no—
1998C22—22no—
1999C22—44no—
2000C22—44no—
2001C22—44no—
2002C22—44no—
2003C22—88no—
2004C22—174no—
2005C22—348no—
2006C22—342no—
2007C22—342no—
2008C22—342no—
2009C22—342no—
2010C22—342no—
2011C22—342no—
2012C22—342no—
2013C22—342no—
2014C22—342no—
2015C22—342no—
2016C22—342no—
2017C22—684no—
2018C22—684no—
2019C22—684no—
2020C22—1368no—
2021C22—1368no—
2022C22—1368no—
2023C22C2×#41×D1714yes—
2024C22C2×#41×D1712yes—
2025C22H(5,𝔽2)×D1712yes—
2026C22#1176364412yes—
2027C22C25×D1711yescharacteristic
2028C4—22no—
2029C4—22no—
2030C4—22no—
2031C4—22no—
2032C4—22no—
2033C4—22no—
2034C4—22no—
2035C4—22no—
2036C4—22no—
2037C4—22no—
2038C4—174no—
2039C4—174no—
2040C4—342no—
2041C4—342no—
2042C4—342no—
2043C4—342no—
2044C4—342no—
2045C4—342no—
2046C4—342no—
2047C4—342no—
2048C4—342no—
2049C4—342no—
2050C2—24no—
2051C2—42no—
2052C2—42no—
2053C2—42no—
2054C2—42no—
2055C2—344no—
2056C2—682no—
2057C2—682no—
2058C2—682no—
2059C2#1454273714yesdirect product factor
2060C2C22×#41×D1711yescharacteristic
2061C2C2×H(5,𝔽2)×D1711yescharacteristic
2062C2C2×#1176364411yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#538C2
socleC23×C17C25
hypercenterC2×#538D17
hypocenterC17C2×#3514
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. #14542737C2direct (N × H)
2. C2×#11763543C2semidirect
3. C2×#11763526C2semidirect
4. C2×#11763523C2semidirect
5. C2×#11763521C2semidirect
6. C2×#11763490C2semidirect
7. C2×#11763486C2semidirect
8. C2×#11763484C2semidirect
9. C2×#11763482C2semidirect
10. C2×#11763472C2semidirect
11. C2×#11763467C2semidirect
12. C2×#11763465C2semidirect
13. C2×#11763448C2semidirect
14. C2×#11763448C2semidirect
15. C2×#11763446C2semidirect
16. C2×#11763446C2semidirect
17. C2×#11763441C2semidirect
18. C2×#11763425C2semidirect
19. C2×#11763423C2semidirect
20. C2×#11763395C2semidirect
21. C2×#11763392C2semidirect
22. C2×#11763391C2semidirect
23. C2×#11763354C2semidirect
24. C2×#11763342C2semidirect
25. C2×#11763339C2semidirect
26. C2×#11763336C2semidirect
27. C22×#10587571C2semidirect
28. C2×#124×D17C2semidirect
29. C2×#11763282C2semidirect
30. C2×#11763281C2semidirect
31. C2×C4×#63254C2semidirect
32. C2×C17×#538C2semidirect
34. C22×#63254C22semidirect
35. C22×#63254C22semidirect
36. C23×Dic34C22semidirect
37. C22×Q8×D17C22semidirect
42. #11763543C22semidirect
43. #11763526C22semidirect
44. #11763523C22semidirect
45. #11763521C22semidirect
46. #11763490C22semidirect
47. #11763486C22semidirect
48. #11763484C22semidirect
49. #11763482C22semidirect
50. #11763472C22semidirect
51. #11763467C22semidirect
52. #11763465C22semidirect
53. #11763448C22semidirect
54. #11763448C22semidirect
55. #11763446C22semidirect
56. #11763446C22semidirect
57. #11763441C22semidirect
58. #11763425C22semidirect
59. #11763423C22semidirect
60. #11763395C22semidirect
61. #11763392C22semidirect
62. #11763391C22semidirect
63. #11763354C22semidirect
64. C2×#10587574C22semidirect
65. C2×#10587574C22semidirect
66. C2×#10587630C22semidirect
68. #11763342C22semidirect
69. #11763339C22semidirect
70. #11763336C22semidirect
71. C2×#10587584C22semidirect
72. C2×#10587584C22semidirect
73. C2×#10587584C22semidirect
74. C2×#10587584C22semidirect
75. C2×#10587562C22semidirect
76. C2×#10587565C22semidirect
77. C2×#10587565C22semidirect
78. C2×#10587565C22semidirect
79. C2×#10587575C22semidirect
80. C2×#10587633C22semidirect
81. C2×#10587561C22semidirect
82. C2×#10587622C22semidirect
83. C2×#10587622C22semidirect
87. C2×#10587571C22semidirect
88. C2×#10587571C22semidirect
89. C2×#10587571C22semidirect
90. C2×#10587571C22semidirect
91. C2×#10587571C22semidirect
92. C2×#10587571C22semidirect
93. C2×#10587571C22semidirect
94. C2×#10587571C22semidirect
95. C2×#10587571C22semidirect
96. C2×#10587571C22semidirect
97. C2×#10587571C22semidirect
98. C2×#10587571C22semidirect
99. C2×#10587571C22semidirect
100. #124×D17C22semidirect
101. C2×#10587580C22semidirect
102. C2×#10587580C22semidirect
103. C2×#10587580C22semidirect
104. C2×#10587580C22semidirect
105. C2×#10587572C22semidirect
106. C2×#10587572C22semidirect
107. C2×#10587615C22semidirect
108. C2×#10587569C22semidirect
109. C2×#10587569C22semidirect
110. C2×#10587621C22semidirect
111. C2×#10587621C22semidirect
112. C2×#10587621C22semidirect
113. C2×#10587583C22semidirect
114. C2×#10587583C22semidirect
115. C2×#10587582C22semidirect
116. C2×#10587582C22semidirect
117. C2×#10587582C22semidirect
118. C2×#10587564C22semidirect
119. C2×#10587564C22semidirect
120. C2×#10587564C22semidirect
121. C2×#10587564C22semidirect
122. C2×#10587564C22semidirect
123. C2×#10587564C22semidirect
124. C2×#10587632C22semidirect
125. C2×#10587616C22semidirect
128. C2×#10587570C22semidirect
129. C2×#10587570C22semidirect
133. C2×#10587625C22semidirect
134. C2×#10587625C22semidirect
135. C2×#10587625C22semidirect
136. C2×#10587625C22semidirect
137. C2×#10587624C22semidirect
138. C2×#10587624C22semidirect
142. C2×#10587623C22semidirect
143. C2×#10587623C22semidirect
144. C2×#10587623C22semidirect
145. #11763282C22semidirect
146. #11763281C22semidirect
147. C4×#63254C22semidirect
148. C2×C4×Dic34C22semidirect
149. C2×C4×Dic34C22semidirect
150. C2×#10587573C22semidirect
151. C2×#10587573C22semidirect
152. C2×#10587573C22semidirect
153. C2×C4×D68C22semidirect
154. C2×D4×Dic17C22semidirect
155. C2×D4×Dic17C22semidirect
156. C2×D4×Dic17C22semidirect
157. C2×D4×Dic17C22semidirect
158. C2×#10587579C22semidirect
159. C2×#10587579C22semidirect
162. C2×C4×C22⋊D17C22semidirect
163. C2×C4×C22⋊D17C22semidirect
164. C2×C4×C22⋊D17C22semidirect
165. C2×C4×C22⋊D17C22semidirect
166. C2×C4×C22⋊D17C22semidirect
170. C2×#10587567C22semidirect
171. C2×#10587567C22semidirect
172. C2×#10587567C22semidirect
173. C2×#10587567C22semidirect
174. C2×#10587567C22semidirect
175. C2×#10587567C22semidirect
176. C2×#10587567C22semidirect
177. C2×#10587567C22semidirect
178. C2×#10587612C22semidirect
179. C2×#10587578C22semidirect
180. C2×#10587578C22semidirect
181. C2×#10587578C22semidirect
182. C2×#10587558C22semidirect
183. C2×#10587558C22semidirect
184. C2×#10587563C22semidirect
185. C2×#10587563C22semidirect
186. C2×#10587563C22semidirect
187. C2×#10587563C22semidirect
188. C2×#10587563C22semidirect
189. C22×C22⋊Dic17C22semidirect
190. C22×C22⋊Dic17C22semidirect
191. C22×#63227C22semidirect
192. C22×#63227C22semidirect
193. C22×#63227C22semidirect
194. C2×C22⋊C4×D17C22semidirect
195. C2×C22⋊C4×D17C22semidirect
196. C2×C22⋊C4×D17C22semidirect
197. C2×C22⋊C4×D17C22semidirect
198. C2×C22⋊C4×D17C22semidirect
199. C2×C22⋊C4×D17C22semidirect
200. C22×C4×Dic17C22semidirect
201. C22×C4×Dic17C22semidirect
202. C2×C42×D17C22semidirect
203. C17×#538C22semidirect
204. C2×C17×#126C22semidirect
205. C2×C17×#126C22semidirect
206. C2×C17×#124C22semidirect
207. C2×C17×#124C22semidirect
208. C2×C17×#123C22semidirect
209. C2×C17×#123C22semidirect
210. C2×C17×C22⋊Q8C22semidirect
211. C2×C17×#121C22semidirect
212. C2×C17×#121C22semidirect
213. C2×C17×#121C22semidirect
215. C2×C17×#120C22semidirect
216. C2×C4×D4×C17C22semidirect
217. C2×C4×D4×C17C22semidirect
218. C22×C22⋊C4×C17C22semidirect
263. C2×Q8×D17C23semidirect
268. C2×#63254C23semidirect
269. C2×#63254C23semidirect
295. C22×Dic34C23semidirect
296. C17×#126C23semidirect
297. C17×#126C23semidirect
298. C17×#124C23semidirect
299. C17×#124C23semidirect
300. C17×#123C23semidirect
301. C17×#123C23semidirect
302. C17×C22⋊Q8C23semidirect
303. C17×#121C23semidirect
304. C17×#121C23semidirect
305. C17×#121C23semidirect
307. C17×#120C23semidirect
308. C4×D4×C17C23semidirect
309. C4×D4×C17C23semidirect
330. C2×C22⋊C4×C17C23semidirect
347. C2×C22⋊Dic17C23semidirect
348. C2×C22⋊Dic17C23semidirect
349. #10587633C23semidirect
350. #10587632C23semidirect
351. #10587630C23semidirect
356. #10587625C23semidirect
357. #10587625C23semidirect
358. #10587625C23semidirect
359. #10587625C23semidirect
360. #10587624C23semidirect
361. #10587624C23semidirect
363. #10587623C23semidirect
364. #10587623C23semidirect
365. #10587623C23semidirect
366. #10587622C23semidirect
367. #10587622C23semidirect
368. #10587621C23semidirect
369. #10587621C23semidirect
370. #10587621C23semidirect
371. D4×Dic17C23semidirect
372. D4×Dic17C23semidirect
373. D4×Dic17C23semidirect
374. D4×Dic17C23semidirect
375. #10587616C23semidirect
376. #10587615C23semidirect
379. C4×C22⋊D17C23semidirect
380. C4×C22⋊D17C23semidirect
381. C4×C22⋊D17C23semidirect
382. C4×C22⋊D17C23semidirect
383. C4×C22⋊D17C23semidirect
408. C2×#63227C23semidirect
409. C2×#63227C23semidirect
410. C2×#63227C23semidirect
411. #10587612C23semidirect
448. C2×C4×Dic17C23semidirect
449. C2×C4×Dic17C23semidirect
450. #10587584C23semidirect
451. #10587584C23semidirect
452. #10587584C23semidirect
453. #10587584C23semidirect
454. #10587583C23semidirect
455. #10587583C23semidirect
456. #10587582C23semidirect
457. #10587582C23semidirect
458. #10587582C23semidirect
459. #10587580C23semidirect
460. #10587580C23semidirect
461. #10587580C23semidirect
462. #10587580C23semidirect
463. #10587579C23semidirect
464. #10587579C23semidirect
465. #10587578C23semidirect
466. #10587578C23semidirect
467. #10587578C23semidirect
468. #10587575C23semidirect
469. #10587574C23semidirect
470. #10587574C23semidirect
471. #10587573C23semidirect
472. #10587573C23semidirect
473. #10587573C23semidirect
474. #10587572C23semidirect
475. #10587572C23semidirect
479. #10587571C23semidirect
480. #10587571C23semidirect
481. #10587571C23semidirect
482. #10587571C23semidirect
483. #10587571C23semidirect
484. #10587571C23semidirect
485. #10587571C23semidirect
486. #10587571C23semidirect
487. #10587571C23semidirect
488. #10587571C23semidirect
489. #10587571C23semidirect
490. #10587571C23semidirect
493. #10587570C23semidirect
494. #10587570C23semidirect
495. #10587569C23semidirect
496. #10587569C23semidirect
502. #10587567C23semidirect
503. #10587567C23semidirect
504. #10587567C23semidirect
505. #10587567C23semidirect
506. #10587567C23semidirect
507. #10587567C23semidirect
508. #10587567C23semidirect
509. #10587567C23semidirect
510. C22⋊C4×D17C23semidirect
511. C22⋊C4×D17C23semidirect
512. C22⋊C4×D17C23semidirect
513. C22⋊C4×D17C23semidirect
514. C22⋊C4×D17C23semidirect
515. C22⋊C4×D17C23semidirect
516. #10587565C23semidirect
517. #10587565C23semidirect
518. #10587565C23semidirect
519. #10587564C23semidirect
520. #10587564C23semidirect
521. #10587564C23semidirect
522. #10587564C23semidirect
523. #10587564C23semidirect
524. #10587564C23semidirect
525. #10587563C23semidirect
526. #10587563C23semidirect
527. #10587563C23semidirect
528. #10587563C23semidirect
529. #10587563C23semidirect
530. #10587562C23semidirect
531. #10587561C23semidirect
532. C4×D68C23semidirect
533. #10587558C23semidirect
534. #10587558C23semidirect
535. C42×D17C23semidirect
536. C4×Dic34C23semidirect
537. C4×Dic34C23semidirect
612. C2×C22⋊D17#41semidirect
899. C22⋊D17C2×#41semidirect
975. C2×#538D17semidirect
1081. #538C2×D17semidirect
1098. C2×#126C2×D17semidirect
1099. C2×#126C2×D17semidirect
1122. C2×#124C2×D17semidirect
1123. C2×#124C2×D17semidirect
1136. C2×#123C2×D17semidirect
1137. C2×#123C2×D17semidirect
1150. C2×C22⋊Q8C2×D17semidirect
1165. C2×#121C2×D17semidirect
1166. C2×#121C2×D17semidirect
1167. C2×#121C2×D17semidirect
1175. C2×#120C2×D17semidirect
1209. C2×C4×D4C2×D17semidirect
1210. C2×C4×D4C2×D17semidirect
1233. C22×C22⋊C4C2×D17semidirect
1242. C2×C17#3514semidirect
1339. #126C22×D17semidirect
1340. #126C22×D17semidirect
1361. #124C22×D17semidirect
1362. #124C22×D17semidirect
1375. #123C22×D17semidirect
1376. #123C22×D17semidirect
1389. C22⋊Q8C22×D17semidirect
1404. #121C22×D17semidirect
1405. #121C22×D17semidirect
1406. #121C22×D17semidirect
1414. #120C22×D17semidirect
1445. C4×D4C22×D17semidirect
1446. C4×D4C22×D17semidirect
1549. C2×C22⋊C4C22×D17semidirect
1569. C17C2×#3514semidirect
2059. C2#14542737direct (N × H)

Maximal subgroups

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

subgroupindex
#145427372
C2×#117635432
C2×#117635262
C2×#117635232
C2×#117635212
C2×#117634902
C2×#117634862
C2×#117634842
C2×#117634822
C2×#117634722
C2×#117634672
C2×#117634652
C2×#117634482
C2×#117634462
C2×#117634412
C2×#117634252
C2×#117634232
C2×#117633952
C2×#117633922
C2×#117633912
C2×#117633542
C2×#117633422
C2×#117633392
C2×#117633362
C22×#105875712
C2×#124×D172
C2×#117632822
C2×#117632812
C2×C4×#632542
C2×C17×#5382
C2×#351417