Finite Group Databasebeta

← C2×#22624481 #33993393

Subgroups — C2×#22624481 #33993393

Order 18688.

7398 conjugacy classes of subgroups.

The subgroup lattice has 2032 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624481C2132yesmaximal, direct product factor
2C2×#17989339C211yesmaximal, characteristic, complemented
3C2×#17989339C211yesmaximal, characteristic, complemented
4C2×#17989324C211yesmaximal, characteristic, complemented
5C2×#17989289C211yesmaximal, characteristic, complemented
6C2×#17989284C211yesmaximal, characteristic, complemented
7C2×#17989282C211yesmaximal, characteristic, complemented
8C2×#17989280C211yesmaximal, characteristic, complemented
9C2×#17989268C211yesmaximal, characteristic, complemented
10C2×#17989260C211yesmaximal, characteristic, complemented
11C2×#17989237C211yesmaximal, characteristic, complemented
12C2×#17989235C211yesmaximal, characteristic, complemented
13C2×#17989234C211yesmaximal, characteristic, complemented
14C2×#17989226C211yesmaximal, characteristic, complemented
15C2×#17989224C211yesmaximal, characteristic, complemented
16C2×#17989224C211yesmaximal, characteristic, complemented
17C2×#17989205C211yesmaximal, characteristic, complemented
18C2×#17989204C211yesmaximal, characteristic, complemented
19C2×#17989182C211yesmaximal, characteristic, complemented
20C2×#17989181C211yesmaximal, characteristic, complemented
21C2×#17989180C211yesmaximal, characteristic, complemented
22C2×#17989174C211yesmaximal, characteristic, complemented
23C2×#17989172C211yesmaximal, characteristic, complemented
24C2×#17989172C211yesmaximal, characteristic, complemented
25C2×#17989169C211yesmaximal, characteristic, complemented
26C2×#17989169C211yesmaximal, characteristic, complemented
27C2×#17989166C211yesmaximal, characteristic, complemented
28C2×#17989147C211yesmaximal, characteristic, complemented
29C2×#17989135C211yesmaximal, characteristic, complemented
30C2×#17989120C211yesmaximal, characteristic, complemented
31C2×#126×D73C211yesmaximal, characteristic, complemented
32C2×#560×C73C211yesmaximal, characteristic, complemented
33C22×#11924028C2211yescharacteristic, complemented
34C22×#11924027C2211yescharacteristic, complemented
35C22×#11924027C2211yescharacteristic, complemented
36C22×#11924027C2211yescharacteristic, complemented
37C23×C22⋊D73C2211yescharacteristic
38C22×D4×D73C2211yescharacteristic
39#17989339C22116yescomplemented
40#17989339C22116yescomplemented
41#17989324C22116yescomplemented
42#17989289C22116yescomplemented
43#17989284C22116yescomplemented
44#17989282C22116yescomplemented
45#17989280C22116yescomplemented
46#17989268C22116yescomplemented
47#17989260C22116yescomplemented
48#17989237C22116yescomplemented
49#17989235C22116yescomplemented
50#17989234C22116yescomplemented
51#17989226C22116yescomplemented
52#17989224C22116yescomplemented
53#17989224C22116yescomplemented
54#17989205C22116yescomplemented
55#17989204C22116yescomplemented
56#17989182C22116yescomplemented
57#17989181C22116yescomplemented
58#17989180C22116yescomplemented
59#17989174C22116yescomplemented
60#17989172C22116yescomplemented
61#17989172C22116yescomplemented
62#17989169C22116yescomplemented
63#17989169C22116yescomplemented
64#17989166C22116yescomplemented
65#17989147C22116yescomplemented
66#17989135C22116yescomplemented
67C2×#14556591C2211yescharacteristic, complemented
68C2×#14556590C2211yescharacteristic, complemented
69C2×#14556590C2211yescharacteristic, complemented
70#17989120C22116yescomplemented
71C2×#14556586C2211yescharacteristic, complemented
72C2×#14556586C2211yescharacteristic, complemented
73C2×#14556586C2211yescharacteristic, complemented
74C2×#14556586C2211yescharacteristic, complemented
75C2×#14556586C2211yescharacteristic, complemented
76C2×#14556585C2211yescharacteristic, complemented
77C2×#14556585C2211yescharacteristic, complemented
78C2×#14556584C2211yescharacteristic, complemented
79C2×#14556584C2211yescharacteristic, complemented
80C2×#14556584C2211yescharacteristic, complemented
81C2×#14556584C2211yescharacteristic, complemented
82C2×#14556584C2211yescharacteristic, complemented
83C2×#14556584C2211yescharacteristic, complemented
84C2×#14556584C2211yescharacteristic, complemented
85C2×#14556584C2211yescharacteristic, complemented
86C2×#14556584C2211yescharacteristic, complemented
87#126×D73C22116yescomplemented
88C2×#14556582C2211yescharacteristic, complemented
89C2×#14556582C2211yescharacteristic, complemented
90C2×#14556581C2211yescharacteristic, complemented
91C2×#14556581C2211yescharacteristic, complemented
92C2×#14556581C2211yescharacteristic, complemented
93C2×#14556578C2211yescharacteristic
94C2×#14556578C2211yescharacteristic, complemented
95C2×#14556578C2211yescharacteristic, complemented
96C2×#14556578C2211yescharacteristic, complemented
97C2×#14556577C2211yescharacteristic
98C2×#14556577C2211yescharacteristic
99C2×#14556577C2211yescharacteristic
100C2×#14556577C2211yescharacteristic, complemented
101C2×#14556577C2211yescharacteristic, complemented
102C2×#14556576C2211yescharacteristic, complemented
103C2×#14556575C2211yescharacteristic
104C2×#14556575C2211yescharacteristic
105C2×#14556575C2211yescharacteristic
106C2×#14556575C2211yescharacteristic, complemented
107C2×#14556574C2211yescharacteristic, complemented
108C2×#14556573C2211yescharacteristic
109C2×#14556573C2211yescharacteristic
110C2×#14556573C2211yescharacteristic
111C2×#14556573C2211yescharacteristic, complemented
112C2×#14556573C2211yescharacteristic, complemented
113C2×#14556573C2211yescharacteristic, complemented
114C2×#14556573C2211yescharacteristic, complemented
115C2×#14556572C2211yescharacteristic
116C2×#14556572C2211yescharacteristic
117C2×#14556572C2211yescharacteristic, complemented
118C2×#14556572C2211yescharacteristic, complemented
119C2×#14556572C2211yescharacteristic, complemented
120C2×#14556572C2211yescharacteristic, complemented
121C2×#14556572C2211yescharacteristic, complemented
122C2×#14556572C2211yescharacteristic, complemented
123C2×#14556571C2211yescharacteristic, complemented
124C2×#14556571C2211yescharacteristic, complemented
125C2×#14556570C2211yescharacteristic, complemented
126C2×#14556570C2211yescharacteristic, complemented
127C2×#14556569C2211yescharacteristic, complemented
128C2×#14556569C2211yescharacteristic, complemented
129C2×#14556569C2211yescharacteristic, complemented
130C2×#14556568C2211yescharacteristic, complemented
131C2×#14556568C2211yescharacteristic, complemented
132C2×#14556568C2211yescharacteristic, complemented
133C2×#14556568C2211yescharacteristic, complemented
134C2×#14556568C2211yescharacteristic, complemented
135C2×#14556568C2211yescharacteristic, complemented
136C2×#14556568C2211yescharacteristic, complemented
137C2×#14556568C2211yescharacteristic, complemented
138C2×#14556564C2211yescharacteristic
139C2×#14556564C2211yescharacteristic
140C2×#14556564C2211yescharacteristic, complemented
141C2×#14556563C2211yescharacteristic
142C2×#14556563C2211yescharacteristic
143C2×#14556563C2211yescharacteristic
144C2×#14556563C2211yescharacteristic
145C2×#14556563C2211yescharacteristic
146C2×#14556563C2211yescharacteristic, complemented
147C2×#14556563C2211yescharacteristic, complemented
148C2×#14556563C2211yescharacteristic, complemented
149C2×#14556563C2211yescharacteristic, complemented
150C2×#14556563C2211yescharacteristic, complemented
151C2×#14556562C2211yescharacteristic
152C2×#14556562C2211yescharacteristic
153C2×#14556562C2211yescharacteristic
154C2×#14556562C2211yescharacteristic, complemented
155C2×#14556562C2211yescharacteristic, complemented
156C2×#14556562C2211yescharacteristic, complemented
157C2×#14556562C2211yescharacteristic, complemented
158C2×#14556562C2211yescharacteristic, complemented
159C2×#14556560C2211yescharacteristic
160C2×#14556559C2211yescharacteristic
161C2×#14556559C2211yescharacteristic
162C2×#14556559C2211yescharacteristic
163C2×#14556559C2211yescharacteristic
164C2×#14556559C2211yescharacteristic, complemented
165C2×#14556559C2211yescharacteristic, complemented
166C2×#14556556C2211yescharacteristic, complemented
167C2×D4×Dic73C2211yescharacteristic, complemented
168C2×D4×Dic73C2211yescharacteristic, complemented
169C2×D4×Dic73C2211yescharacteristic, complemented
170C2×D4×Dic73C2211yescharacteristic, complemented
171C2×D4×Dic73C2211yescharacteristic, complemented
172C2×D4×Dic73C2211yescharacteristic, complemented
173C2×D4×Dic73C2211yescharacteristic, complemented
174C2×D4×Dic73C2211yescharacteristic, complemented
175C2×#14556553C2211yescharacteristic, complemented
176C2×C4×C22⋊D73C2211yescharacteristic, complemented
177C2×C4×C22⋊D73C2211yescharacteristic, complemented
178C2×C4×C22⋊D73C2211yescharacteristic, complemented
179C2×C4×C22⋊D73C2211yescharacteristic, complemented
180C2×#14556551C2211yescharacteristic, complemented
181C2×#14556551C2211yescharacteristic, complemented
182C2×#14556551C2211yescharacteristic, complemented
183C2×#14556551C2211yescharacteristic, complemented
184C2×#14556551C2211yescharacteristic, complemented
185C2×#14556551C2211yescharacteristic, complemented
186C2×#14556550C2211yescharacteristic, complemented
187C2×#14556549C2211yescharacteristic, complemented
188C2×#14556547C2211yescharacteristic, complemented
189C2×#14556547C2211yescharacteristic, complemented
190C22×C4⋊Dic73C2211yescharacteristic, complemented
191C22×#11924007C2211yescharacteristic, complemented
192C2×C4⋊C4×D73C2211yescharacteristic, complemented
193C2×C4⋊C4×D73C2211yescharacteristic, complemented
194C2×C4⋊C4×D73C2211yescharacteristic, complemented
195C22×C22⋊Dic73C2211yescharacteristic, complemented
196C22×C22⋊Dic73C2211yescharacteristic, complemented
197C22×#11924005C2211yescharacteristic, complemented
198C2×C22⋊C4×D73C2211yescharacteristic
199C2×C22⋊C4×D73C2211yescharacteristic
200C2×C22⋊C4×D73C2211yescharacteristic
201C2×C22⋊C4×D73C2211yescharacteristic, complemented
202C2×C42×D73C2211yescharacteristic, complemented
203#560×C73C22116yescomplemented
204C2×#127×C73C2211yescharacteristic, complemented
205C2×#126×C73C2211yescharacteristic, complemented
206C2×#126×C73C2211yescharacteristic, complemented
207C2×#123×C73C2211yescharacteristic, complemented
208C2×#123×C73C2211yescharacteristic, complemented
209C2×#123×C73C2211yescharacteristic, complemented
210C2×#121×C73C2211yescharacteristic
211C2×#121×C73C2211yescharacteristic
212C2×#121×C73C2211yescharacteristic, complemented
213C2×#121×C73C2211yescharacteristic, complemented
214C2×#121×C73C2211yescharacteristic, complemented
215C2×#121×C73C2211yescharacteristic, complemented
216C2×#120×C73C2211yescharacteristic
217C2×#120×C73C2211yescharacteristic, complemented
218C2×#120×C73C2211yescharacteristic, complemented
219C24×D73C2311yescharacteristic
220C24×D73C2311yescharacteristic
221C2×#11924028—44no—
222C2×#11924028C2318yescomplemented
223C2×#11924027—44no—
224C2×#11924027—44no—
225C2×#11924027—44no—
226C2×#11924027C2318yescomplemented
227C2×#11924027C2318yescomplemented
228C2×#11924027C2318yescomplemented
229C22×Dic146C2311yescharacteristic
230C22×Dic146C2311yescharacteristic
231C22×Dic146C2311yescharacteristic
232C22×Dic146C2311yescharacteristic
233C22×Dic146C2311yescharacteristic
234C22×D292C2311yescharacteristic
235C22×C22⋊D73—44no—
236C22×C22⋊D73C2311yescharacteristic
237C22×C22⋊D73C2311yescharacteristic
238C22×C22⋊D73C2311yescharacteristic
239C22×C22⋊D73C2311yescharacteristic
240C22×C22⋊D73C2311yescharacteristic
241C22×C22⋊D73C2318yes—
242C22×C22⋊D73C2311yescharacteristic
243C22×C22⋊D73C2311yescharacteristic
244C22×C22⋊D73C2311yescharacteristic
245C22×C22⋊D73C2311yescharacteristic
246C22×C22⋊D73C2311yescharacteristic
247C22×C22⋊D73C2311yescharacteristic
248C22×C22⋊D73C2311yescharacteristic
249C22×C22⋊D73C2311yescharacteristic
250C22×C22⋊D73C2311yescharacteristic
251C2×D4×D73—44no—
252C2×D4×D73C2318yes—
253C23×Dic73C2311yescharacteristic
254C23×Dic73C2311yescharacteristic
255C23×Dic73C2311yescharacteristic
256C23×Dic73C2311yescharacteristic
257C23×Dic73C2311yescharacteristic
258C23×Dic73C2311yescharacteristic
259C23×Dic73C2311yescharacteristic
260C23×Dic73C2311yescharacteristic
261C23×Dic73C2311yescharacteristic
262C23×Dic73C2311yescharacteristic
263C22×C4×D73C2311yescharacteristic
264C22×C4×D73C2311yescharacteristic
265C22×C4×D73C2311yescharacteristic
266C22×C4×D73C2311yescharacteristic
267C22×C4×D73C2311yescharacteristic
268C22×C4×D73C2311yescharacteristic
269C22×C4×D73C2311yescharacteristic
270C22×C4×D73C2311yescharacteristic
271C22×C4×D73C2311yescharacteristic
272#14556591C2318yescomplemented
273#14556590C2318yescomplemented
274#14556590C2318yescomplemented
275#14556586C2318yescomplemented
276#14556586C2318yescomplemented
277#14556586C2318yescomplemented
278#14556586C2318yescomplemented
279#14556586C2318yescomplemented
280#14556585C2318yescomplemented
281#14556585C2318yescomplemented
282#14556584C2318yescomplemented
283#14556584C2318yescomplemented
284#14556584C2318yescomplemented
285#14556584C2318yescomplemented
286#14556584C2318yescomplemented
287#14556584C2318yescomplemented
288#14556584C2318yescomplemented
289#14556584C2318yescomplemented
290#14556584C2318yescomplemented
291#14556582C2318yescomplemented
292#14556582C2318yescomplemented
293#14556581C2318yescomplemented
294#14556581C2318yescomplemented
295#14556581C2318yescomplemented
296#14556578C2318yes—
297#14556578C2318yescomplemented
298#14556578C2318yescomplemented
299#14556578C2318yescomplemented
300#14556577C2318yes—
301#14556577C2318yes—
302#14556577C2318yes—
303#14556577C2318yescomplemented
304#14556577C2318yescomplemented
305#14556576C2318yescomplemented
306#14556575C2318yes—
307#14556575C2318yes—
308#14556575C2318yes—
309#14556575C2318yescomplemented
310#14556574C2318yescomplemented
311#14556573C2318yes—
312#14556573C2318yes—
313#14556573C2318yes—
314#14556573C2318yescomplemented
315#14556573C2318yescomplemented
316#14556573C2318yescomplemented
317#14556573C2318yescomplemented
318#14556572C2318yes—
319#14556572C2318yes—
320#14556572C2318yescomplemented
321#14556572C2318yescomplemented
322#14556572C2318yescomplemented
323#14556572C2318yescomplemented
324#14556572C2318yescomplemented
325#14556572C2318yescomplemented
326#14556571C2318yescomplemented
327#14556571C2318yescomplemented
328#14556570C2318yescomplemented
329#14556570C2318yescomplemented
330#14556569C2318yescomplemented
331#14556569C2318yescomplemented
332#14556569C2318yescomplemented
333#14556568C2318yescomplemented
334#14556568C2318yescomplemented
335#14556568C2318yescomplemented
336#14556568C2318yescomplemented
337#14556568C2318yescomplemented
338#14556568C2318yescomplemented
339#14556568C2318yescomplemented
340#14556568C2318yescomplemented
341#14556564C2318yes—
342#14556564C2318yes—
343#14556564C2318yescomplemented
344#14556563C2318yes—
345#14556563C2318yes—
346#14556563C2318yes—
347#14556563C2318yes—
348#14556563C2318yes—
349#14556563C2318yescomplemented
350#14556563C2318yescomplemented
351#14556563C2318yescomplemented
352#14556563C2318yescomplemented
353#14556563C2318yescomplemented
354#14556562C2318yes—
355#14556562C2318yes—
356#14556562C2318yes—
357#14556562C2318yescomplemented
358#14556562C2318yescomplemented
359#14556562C2318yescomplemented
360#14556562C2318yescomplemented
361#14556562C2318yescomplemented
362#14556560C2318yes—
363#14556559C2318yes—
364#14556559C2318yes—
365#14556559C2318yes—
366#14556559C2318yes—
367#14556559C2318yescomplemented
368#14556559C2318yescomplemented
369#14556556C2318yescomplemented
370D4×Dic73C2318yescomplemented
371D4×Dic73C2318yescomplemented
372D4×Dic73C2318yescomplemented
373D4×Dic73C2318yescomplemented
374D4×Dic73C2318yescomplemented
375D4×Dic73C2318yescomplemented
376D4×Dic73C2318yescomplemented
377D4×Dic73C2318yescomplemented
378#14556553C2318yescomplemented
379C4×C22⋊D73C2318yescomplemented
380C4×C22⋊D73C2318yescomplemented
381C4×C22⋊D73C2318yescomplemented
382C4×C22⋊D73C2318yescomplemented
383#14556551C2318yescomplemented
384#14556551C2318yescomplemented
385#14556551C2318yescomplemented
386#14556551C2318yescomplemented
387#14556551C2318yescomplemented
388#14556551C2318yescomplemented
389#14556550C2318yescomplemented
390#14556549C2318yescomplemented
391#14556547C2318yescomplemented
392#14556547C2318yescomplemented
393C2×C4⋊Dic73C2311yescharacteristic
394C2×C4⋊Dic73C2311yescharacteristic
395C2×C4⋊Dic73C2311yescharacteristic
396C2×C4⋊Dic73C2311yescharacteristic
397C2×C4⋊Dic73C2311yescharacteristic
398C2×C4⋊Dic73C2311yescharacteristic
399C2×C4⋊Dic73C2311yescharacteristic
400C2×C4⋊Dic73C2311yescharacteristic
401C2×C4⋊Dic73C2311yescharacteristic
402C2×C4⋊Dic73C2311yescharacteristic
403C2×C4⋊Dic73C2311yescharacteristic
404C2×C4⋊Dic73C2311yescharacteristic
405C2×C4⋊Dic73C2318yescomplemented
406C2×#11924007C2311yescharacteristic
407C2×#11924007C2311yescharacteristic
408C2×#11924007C2311yescharacteristic
409C2×#11924007C2311yescharacteristic
410C2×#11924007C2311yescharacteristic
411C2×#11924007C2311yescharacteristic
412C2×#11924007C2311yescharacteristic
413C2×#11924007C2311yescharacteristic
414C2×#11924007C2311yescharacteristic
415C2×#11924007C2311yescharacteristic
416C2×#11924007C2311yescharacteristic
417C2×#11924007C2311yescharacteristic
418C2×#11924007C2311yescharacteristic
419C2×#11924007C2311yescharacteristic
420C2×#11924007C2311yescharacteristic
421C2×#11924007C2311yescharacteristic
422C2×#11924007C2311yescharacteristic
423C2×#11924007C2311yescharacteristic
424C2×#11924007C2311yescharacteristic
425C2×#11924007C2311yescharacteristic
426C2×#11924007C2318yescomplemented
427C4⋊C4×D73C2318yescomplemented
428C4⋊C4×D73C2318yescomplemented
429C4⋊C4×D73C2318yescomplemented
430C2×C22⋊Dic73C2311yescharacteristic
431C2×C22⋊Dic73C2311yescharacteristic
432C2×C22⋊Dic73C2311yescharacteristic
433C2×C22⋊Dic73C2311yescharacteristic
434C2×C22⋊Dic73C2311yescharacteristic
435C2×C22⋊Dic73C2311yescharacteristic
436C2×C22⋊Dic73C2311yescharacteristic
437C2×C22⋊Dic73C2311yescharacteristic
438C2×C22⋊Dic73C2311yescharacteristic
439C2×C22⋊Dic73C2311yescharacteristic
440C2×C22⋊Dic73C2311yescharacteristic
441C2×C22⋊Dic73C2311yescharacteristic
442C2×C22⋊Dic73C2311yescharacteristic
443C2×C22⋊Dic73C2311yescharacteristic
444C2×C22⋊Dic73C2311yescharacteristic
445C2×C22⋊Dic73C2311yescharacteristic
446C2×C22⋊Dic73C2311yescharacteristic
447C2×C22⋊Dic73C2311yescharacteristic
448C2×C22⋊Dic73C2311yescharacteristic
449C2×C22⋊Dic73C2311yescharacteristic
450C2×C22⋊Dic73C2311yescharacteristic
451C2×C22⋊Dic73C2311yescharacteristic
452C2×C22⋊Dic73C2318yescomplemented
453C2×C22⋊Dic73C2318yescomplemented
454C2×#11924005C2311yescharacteristic
455C2×#11924005C2311yescharacteristic
456C2×#11924005C2311yescharacteristic
457C2×#11924005C2311yescharacteristic
458C2×#11924005C2311yescharacteristic
459C2×#11924005C2311yescharacteristic
460C2×#11924005C2311yescharacteristic
461C2×#11924005C2311yescharacteristic
462C2×#11924005C2311yescharacteristic
463C2×#11924005C2311yescharacteristic
464C2×#11924005C2311yescharacteristic
465C2×#11924005C2311yescharacteristic
466C2×#11924005C2311yescharacteristic
467C2×#11924005C2311yescharacteristic
468C2×#11924005C2311yescharacteristic
469C2×#11924005C2311yescharacteristic
470C2×#11924005C2318yescomplemented
471C22⋊C4×D73C2318yes—
472C22⋊C4×D73C2318yes—
473C22⋊C4×D73C2318yes—
474C22⋊C4×D73C2318yescomplemented
475C2×C4×Dic73C2311yescharacteristic
476C2×C4×Dic73C2311yescharacteristic
477C2×C4×Dic73C2311yescharacteristic
478C2×C4×Dic73C2311yescharacteristic
479C2×C4×Dic73C2311yescharacteristic
480C2×C4×Dic73C2311yescharacteristic
481C2×C4×Dic73C2311yescharacteristic
482C2×C4×Dic73C2311yescharacteristic
483C2×C4×Dic73C2311yescharacteristic
484C42×D73C2318yescomplemented
485C25×C73C2311yescharacteristic
486C22×D4×C73C2311yescharacteristic
487C22×D4×C73C2311yescharacteristic
488C22×D4×C73C2311yescharacteristic
489C22×D4×C73C2311yescharacteristic
490C22×D4×C73C2311yescharacteristic
491C22×D4×C73C2311yescharacteristic
492C22×D4×C73C2311yescharacteristic
493C22×D4×C73C2311yescharacteristic
494C22×D4×C73C2311yescharacteristic
495C22×D4×C73C2311yescharacteristic
496C22×D4×C73C2311yescharacteristic
497C22×D4×C73C2311yescharacteristic
498C23×C4×C73C2311yescharacteristic
499C23×C4×C73C2311yescharacteristic
500C23×C4×C73C2311yescharacteristic
501#127×C73C2318yescomplemented
502#126×C73C2318yescomplemented
503#126×C73C2318yescomplemented
504#123×C73C2318yescomplemented
505#123×C73C2318yescomplemented
506#123×C73C2318yescomplemented
507#121×C73C2318yes—
508#121×C73C2318yes—
509#121×C73C2318yescomplemented
510#121×C73C2318yescomplemented
511#121×C73C2318yescomplemented
512#121×C73C2318yescomplemented
513#120×C73C2318yes—
514#120×C73C2318yescomplemented
515#120×C73C2318yescomplemented
516C2×C4⋊C4×C73C2311yescharacteristic
517C2×C4⋊C4×C73C2311yescharacteristic
518C2×C4⋊C4×C73C2311yescharacteristic
519C2×C4⋊C4×C73C2311yescharacteristic
520C2×C4⋊C4×C73C2311yescharacteristic
521C2×C4⋊C4×C73C2311yescharacteristic
522C2×C22⋊C4×C73C2311yescharacteristic
523C2×C22⋊C4×C73C2311yescharacteristic
524C2×C22⋊C4×C73C2311yescharacteristic
525C2×C22⋊C4×C73C2311yescharacteristic
526C2×C22⋊C4×C73C2311yescharacteristic
527C2×C22⋊C4×C73C2311yescharacteristic
528C2×C22⋊C4×C73C2311yescharacteristic
529C2×C22⋊C4×C73C2311yescharacteristic
530C2×C22⋊C4×C73C2311yescharacteristic
531C2×C22⋊C4×C73C2311yescharacteristic
532C2×C22⋊C4×C73C2311yescharacteristic
533C2×C22⋊C4×C73C2311yescharacteristic
534C2×C42×C73C2311yescharacteristic
535C23×D73—24no—
536C23×D73—42no—
537C23×D73—42no—
538C23×D73—42no—
539C23×D73—42no—
540C23×D73—42no—
541C23×D73C2411yescharacteristic
542C23×D73C2411yescharacteristic
543C23×D73C2411yescharacteristic
544C23×D73C2414yes—
545C23×D73C2414yes—
546#11924028—416no—
547#11924027—416no—
548#11924027—416no—
549#11924027—416no—
550C2×Dic146—42no—
551C2×Dic146—42no—
552C2×Dic146—42no—
553C2×Dic146—42no—
554C2×Dic146—42no—
555C2×Dic146C2414yes—
556C2×Dic146C2414yes—
557C2×Dic146C2414yes—
558C2×Dic146C2414yes—
559C2×Dic146C2414yes—
560C2×D292—24no—
561C2×D292C2414yes—
562C2×C22⋊D73—24no—
563C2×C22⋊D73—24no—
564C2×C22⋊D73—24no—
565C2×C22⋊D73—24no—
566C2×C22⋊D73—24no—
567C2×C22⋊D73—42no—
568C2×C22⋊D73—42no—
569C2×C22⋊D73—42no—
570C2×C22⋊D73—42no—
571C2×C22⋊D73—42no—
572C2×C22⋊D73—42no—
573C2×C22⋊D73—42no—
574C2×C22⋊D73—42no—
575C2×C22⋊D73—42no—
576C2×C22⋊D73—416no—
577C2×C22⋊D73C2414yes—
578C2×C22⋊D73C2414yes—
579C2×C22⋊D73C2414yes—
580C2×C22⋊D73C2414yes—
581C2×C22⋊D73C2414yes—
582C2×C22⋊D73C2414yes—
583C2×C22⋊D73C2414yes—
584C2×C22⋊D73C2414yes—
585C2×C22⋊D73C2414yes—
586C2×C22⋊D73C2414yes—
587C2×C22⋊D73C2414yes—
588C2×C22⋊D73C2414yes—
589C2×C22⋊D73C2414yes—
590C2×C22⋊D73C2414yes—
591D4×D73—416no—
592C22×Dic73—42no—
593C22×Dic73—42no—
594C22×Dic73—42no—
595C22×Dic73—42no—
596C22×Dic73—42no—
597C22×Dic73—42no—
598C22×Dic73—42no—
599C22×Dic73—42no—
600C22×Dic73—42no—
601C22×Dic73—42no—
602C22×Dic73C2411yescharacteristic
603C22×Dic73C2411yescharacteristic
604C22×Dic73C2411yescharacteristic
605C22×Dic73C2411yescharacteristic
606C22×Dic73C2411yescharacteristic
607C22×Dic73C2411yescharacteristic
608C22×Dic73C2411yescharacteristic
609C22×Dic73C2411yescharacteristic
610C22×Dic73C2411yescharacteristic
611C22×Dic73C2411yescharacteristic
612C22×Dic73C2411yescharacteristic
613C22×Dic73C2411yescharacteristic
614C22×Dic73C2411yescharacteristic
615C22×Dic73C2414yes—
616C22×Dic73C2414yes—
617C22×Dic73C2414yes—
618C22×Dic73C2414yes—
619C22×Dic73C2414yes—
620C22×Dic73C2414yes—
621C22×Dic73C2414yes—
622C22×Dic73C2414yes—
623C22×Dic73C2414yes—
624C22×Dic73C2414yes—
625C2×C4×D73—24no—
626C2×C4×D73—24no—
627C2×C4×D73—42no—
628C2×C4×D73—42no—
629C2×C4×D73—42no—
630C2×C4×D73—42no—
631C2×C4×D73—42no—
632C2×C4×D73—42no—
633C2×C4×D73—42no—
634C2×C4×D73C2414yes—
635C2×C4×D73C2414yes—
636C2×C4×D73C2414yes—
637C2×C4×D73C2414yes—
638C2×C4×D73C2414yes—
639C2×C4×D73C2414yes—
640C2×C4×D73C2414yes—
641C2×C4×D73C2414yes—
642C2×C4×D73C2414yes—
643C4⋊Dic73C2414yes—
644C4⋊Dic73C2414yes—
645C4⋊Dic73C2414yes—
646C4⋊Dic73C2414yes—
647C4⋊Dic73C2414yes—
648C4⋊Dic73C2414yes—
649C4⋊Dic73C2414yes—
650C4⋊Dic73C2414yes—
651C4⋊Dic73C2414yes—
652C4⋊Dic73C2414yes—
653C4⋊Dic73C2414yes—
654C4⋊Dic73C2414yes—
655#11924007C2414yes—
656#11924007C2414yes—
657#11924007C2414yes—
658#11924007C2414yes—
659#11924007C2414yes—
660#11924007C2414yes—
661#11924007C2414yes—
662#11924007C2414yes—
663#11924007C2414yes—
664#11924007C2414yes—
665#11924007C2414yes—
666#11924007C2414yes—
667#11924007C2414yes—
668#11924007C2414yes—
669#11924007C2414yes—
670#11924007C2414yes—
671#11924007C2414yes—
672#11924007C2414yes—
673#11924007C2414yes—
674#11924007C2414yes—
675C22⋊Dic73C2414yes—
676C22⋊Dic73C2414yes—
677C22⋊Dic73C2414yes—
678C22⋊Dic73C2414yes—
679C22⋊Dic73C2414yes—
680C22⋊Dic73C2414yes—
681C22⋊Dic73C2414yes—
682C22⋊Dic73C2414yes—
683C22⋊Dic73C2414yes—
684C22⋊Dic73C2414yes—
685C22⋊Dic73C2414yes—
686C22⋊Dic73C2414yes—
687C22⋊Dic73C2414yes—
688C22⋊Dic73C2414yes—
689C22⋊Dic73C2414yes—
690C22⋊Dic73C2414yes—
691C22⋊Dic73C2414yes—
692C22⋊Dic73C2414yes—
693C22⋊Dic73C2414yes—
694C22⋊Dic73C2414yes—
695C22⋊Dic73C2414yes—
696C22⋊Dic73C2414yes—
697#11924005C2414yes—
698#11924005C2414yes—
699#11924005C2414yes—
700#11924005C2414yes—
701#11924005C2414yes—
702#11924005C2414yes—
703#11924005C2414yes—
704#11924005C2414yes—
705#11924005C2414yes—
706#11924005C2414yes—
707#11924005C2414yes—
708#11924005C2414yes—
709#11924005C2414yes—
710#11924005C2414yes—
711#11924005C2414yes—
712#11924005C2414yes—
713C4×Dic73C2414yes—
714C4×Dic73C2414yes—
715C4×Dic73C2414yes—
716C4×Dic73C2414yes—
717C4×Dic73C2414yes—
718C4×Dic73C2414yes—
719C4×Dic73C2414yes—
720C4×Dic73C2414yes—
721C4×Dic73C2414yes—
722C24×C73—42no—
723C24×C73—42no—
724C24×C73—42no—
725C24×C73C2411yescharacteristic
726C24×C73C2411yescharacteristic
727C24×C73C2411yescharacteristic
728C24×C73C2411yescharacteristic
729C24×C73C2411yescharacteristic
730C24×C73C2411yescharacteristic
731C24×C73C2414yes—
732C2×D4×C73—42no—
733C2×D4×C73—42no—
734C2×D4×C73—42no—
735C2×D4×C73—42no—
736C2×D4×C73—42no—
737C2×D4×C73—42no—
738C2×D4×C73—42no—
739C2×D4×C73—42no—
740C2×D4×C73—42no—
741C2×D4×C73—42no—
742C2×D4×C73—42no—
743C2×D4×C73—42no—
744C2×D4×C73C2414yes—
745C2×D4×C73C2414yes—
746C2×D4×C73C2414yes—
747C2×D4×C73C2414yes—
748C2×D4×C73C2414yes—
749C2×D4×C73C2414yes—
750C2×D4×C73C2414yes—
751C2×D4×C73C2414yes—
752C2×D4×C73C2414yes—
753C2×D4×C73C2414yes—
754C2×D4×C73C2414yes—
755C2×D4×C73C2414yes—
756C22×C4×C73—42no—
757C22×C4×C73—42no—
758C22×C4×C73—42no—
759C22×C4×C73C2411yescharacteristic
760C22×C4×C73C2411yescharacteristic
761C22×C4×C73C2411yescharacteristic
762C22×C4×C73C2411yescharacteristic
763C22×C4×C73C2411yescharacteristic
764C22×C4×C73C2411yescharacteristic
765C22×C4×C73C2411yescharacteristic
766C22×C4×C73C2411yescharacteristic
767C22×C4×C73C2411yescharacteristic
768C22×C4×C73C2414yes—
769C22×C4×C73C2414yes—
770C22×C4×C73C2414yes—
771C4⋊C4×C73C2414yes—
772C4⋊C4×C73C2414yes—
773C4⋊C4×C73C2414yes—
774C4⋊C4×C73C2414yes—
775C4⋊C4×C73C2414yes—
776C4⋊C4×C73C2414yes—
777C22⋊C4×C73C2414yes—
778C22⋊C4×C73C2414yes—
779C22⋊C4×C73C2414yes—
780C22⋊C4×C73C2414yes—
781C22⋊C4×C73C2414yes—
782C22⋊C4×C73C2414yes—
783C22⋊C4×C73C2414yes—
784C22⋊C4×C73C2414yes—
785C22⋊C4×C73C2414yes—
786C22⋊C4×C73C2414yes—
787C22⋊C4×C73C2414yes—
788C22⋊C4×C73C2414yes—
789C42×C73C2414yes—
790C23×C73—22no—
791C23×C73—22no—
792C23×C73—22no—
793C23×C73—22no—
794C23×C73—22no—
795C23×C73—22no—
796C23×C73—22no—
797C23×C73—22no—
798C23×C73—22no—
799C23×C73—22no—
800C23×C73—22no—
801C23×C73—22no—
802C23×C73—22no—
803C23×C73—22no—
804C23×C73—22no—
805C23×C73—22no—
806C23×C73—22no—
807C23×C73—22no—
808C23×C73—44no—
809C23×C73—44no—
810C23×C73—44no—
811C23×C73—88no—
812C23×C73C2512yes—
813C23×C73C2512yes—
814C23×C73C2512yes—
815C23×C73C2512yes—
816C23×C73C2512yes—
817C23×C73C2512yes—
818C23×C73C2511yescharacteristic
819C22×D73—22no—
820C22×D73—22no—
821C22×D73—22no—
822C22×D73—22no—
823C22×D73—22no—
824C22×D73—22no—
825C22×D73—22no—
826C22×D73—22no—
827C22×D73—28no—
828C22×D73—44no—
829C22×D73—44no—
830C22×D73—44no—
831C22×D73—44no—
832C22×D73—44no—
833C22×D73—88no—
834C22×D73—88no—
835C22×D73H(5,𝔽2)14yes—
836C22×D73C2512yes—
837C22×D73C2512yes—
838C22×D73C2512yes—
839D4×C73—44no—
840D4×C73—44no—
841D4×C73—44no—
842D4×C73—44no—
843D4×C73—44no—
844D4×C73—44no—
845D4×C73—44no—
846D4×C73—44no—
847D4×C73—44no—
848D4×C73—44no—
849D4×C73—44no—
850D4×C73—44no—
851C2×C4×C73—22no—
852C2×C4×C73—22no—
853C2×C4×C73—22no—
854C2×C4×C73—22no—
855C2×C4×C73—22no—
856C2×C4×C73—22no—
857C2×C4×C73—22no—
858C2×C4×C73—22no—
859C2×C4×C73—22no—
860C2×C4×C73—44no—
861C2×C4×C73—44no—
862C2×C4×C73—44no—
863C2×C4×C73C2512yes—
864C2×C4×C73C2512yes—
865C2×C4×C73C2512yes—
866C2×C4×C73C2512yes—
867C2×C4×C73C2512yes—
868C2×C4×C73C2512yes—
869C2×C4×C73C2512yes—
870C2×C4×C73C2512yes—
871C2×C4×C73C2512yes—
872C22⋊D73—28no—
873C22⋊D73—28no—
874C22⋊D73—28no—
875C22⋊D73—28no—
876C22⋊D73—28no—
877C22⋊D73—44no—
878C22⋊D73—44no—
879C22⋊D73—44no—
880C22⋊D73—44no—
881C22⋊D73—44no—
882C22⋊D73—44no—
883C22⋊D73—44no—
884C22⋊D73—44no—
885C22⋊D73—44no—
886C2×Dic73—22no—
887C2×Dic73—22no—
888C2×Dic73—22no—
889C2×Dic73—22no—
890C2×Dic73—22no—
891C2×Dic73—22no—
892C2×Dic73—22no—
893C2×Dic73—22no—
894C2×Dic73—22no—
895C2×Dic73—22no—
896C2×Dic73—22no—
897C2×Dic73—22no—
898C2×Dic73—22no—
899C2×Dic73—44no—
900C2×Dic73—44no—
901C2×Dic73—44no—
902C2×Dic73—44no—
903C2×Dic73—44no—
904C2×Dic73—44no—
905C2×Dic73—44no—
906C2×Dic73—44no—
907C2×Dic73—44no—
908C2×Dic73—44no—
909C2×Dic73C2512yes—
910C2×Dic73C2512yes—
911C2×Dic73C2512yes—
912C2×Dic73C2512yes—
913C2×Dic73C2512yes—
914C2×Dic73C2512yes—
915C2×Dic73C2512yes—
916C2×Dic73C2512yes—
917C2×Dic73C2512yes—
918C2×Dic73C2512yes—
919C2×Dic73C2512yes—
920C2×Dic73C2512yes—
921C2×Dic73C2512yes—
922D292—28no—
923C4×D73—28no—
924C4×D73—28no—
925C4×D73—44no—
926C4×D73—44no—
927C4×D73—44no—
928C4×D73—44no—
929C4×D73—44no—
930C4×D73—44no—
931C4×D73—44no—
932Dic146—44no—
933Dic146—44no—
934Dic146—44no—
935Dic146—44no—
936Dic146—44no—
937C22×C73—22no—
938C22×C73—22no—
939C22×C73—22no—
940C22×C73—22no—
941C22×C73—22no—
942C22×C73—22no—
943C22×C73—22no—
944C22×C73—22no—
945C22×C73—22no—
946C22×C73—22no—
947C22×C73—22no—
948C22×C73—22no—
949C22×C73—22no—
950C22×C73—22no—
951C22×C73—22no—
952C22×C73—22no—
953C22×C73—22no—
954C22×C73—22no—
955C22×C73—44no—
956C22×C73—44no—
957C22×C73—44no—
958C22×C73—44no—
959C22×C73—44no—
960C22×C73—44no—
961C22×C73—88no—
962C22×C73C2×H(5,𝔽2)12yes—
963C22×C73#58512yes—
964C22×C73#58512yes—
965C22×C73C2611yescharacteristic
966C2×D73—22no—
967C2×D73—22no—
968C2×D73—28no—
969C2×D73—22no—
970C2×D73—22no—
971C2×D73—22no—
972C2×D73—22no—
973C2×D73—22no—
974C2×D73—22no—
975C2×D73—44no—
976C2×D73—44no—
977C2×D73—88no—
978C2×D73—88no—
979C2×D73C2×H(5,𝔽2)14yes—
980C4×C73—22no—
981C4×C73—22no—
982C4×C73—22no—
983C4×C73—22no—
984C4×C73—22no—
985C4×C73—22no—
986C4×C73—22no—
987C4×C73—22no—
988C4×C73—22no—
989Dic73—22no—
990Dic73—22no—
991Dic73—22no—
992Dic73—22no—
993Dic73—22no—
994Dic73—22no—
995Dic73—22no—
996Dic73—22no—
997Dic73—22no—
998Dic73—22no—
999Dic73—22no—
1000Dic73—22no—
1001Dic73—22no—
1002C2×#3560—731nomaximal, Sylow
1003C2×C73—42no—
1004C2×C73—42no—
1005C2×C73—42no—
1006C2×C73—42no—
1007C2×C73—42no—
1008C2×C73—42no—
1009C2×C73#356014yescomplemented
1010C2×C73C22×H(5,𝔽2)11yescharacteristic
1011C2×C73C2×#58511yescharacteristic
1012C2×C73C2×#58511yescharacteristic
1013D73—24no—
1014D73—42no—
1015D73—42no—
1016#3560—7332no—
1017C2×#563—731no—
1018C2×#563—731no—
1019C2×#560—731no—
1020C2×#560D7311yescharacteristic, complemented
1021C2×#553—731no—
1022C2×#553—731no—
1023C2×#553—731no—
1024C2×#553—731no—
1025C2×#551—731no—
1026C2×#551—731no—
1027C2×#547—731no—
1028C2×#547—731no—
1029C2×#546—731no—
1030C2×#546—731no—
1031C2×#546—731no—
1032C2×#546—731no—
1033C2×#542—731no—
1034C2×#542—731no—
1035C2×#539—731no—
1036C2×#539—731no—
1037C2×#539—731no—
1038C2×#538—731no—
1039C2×#538—731no—
1040C2×#538—731no—
1041C2×#538—731no—
1042C2×#538—731no—
1043C2×#537—731no—
1044C2×#534—731no—
1045C2×#532—731no—
1046C2×#529—731no—
1047C22×#126—731no—
1048C73C2×#356011yescharacteristic, complemented, Sylow
1049C22×#41—731no—
1050C22×#41—731no—
1051C22×#41—731no—
1052C22×#41—731no—
1053C23×D4—731no—
1054C23×D4—731no—
1055#563—7316no—
1056#563—7316no—
1057#560—7316no—
1058#560C2×D73116yescomplemented
1059#553—7316no—
1060#553—7316no—
1061#553—7316no—
1062#553—7316no—
1063#551—7316no—
1064#551—7316no—
1065#547—7316no—
1066#547—7316no—
1067#546—7316no—
1068#546—7316no—
1069#546—7316no—
1070#546—7316no—
1071#542—7316no—
1072#542—7316no—
1073#539—7316no—
1074#539—7316no—
1075#539—7316no—
1076#538—7316no—
1077#538—7316no—
1078#538—7316no—
1079#538—7316no—
1080#538—7316no—
1081#537—7316no—
1082#534—7316no—
1083#532—7316no—
1084C2×C4⋊Q8—731no—
1085C2×C4⋊Q8—731no—
1086C2×C4⋊Q8—731no—
1087C2×#127C2×D7311yescharacteristic, complemented
1088#529—7316no—
1089C2×#126—7316no—
1090C2×#126—731no—
1091C2×#126—731no—
1092C2×#126—731no—
1093C2×#126—731no—
1094C2×#126—731no—
1095C2×#126—731no—
1096C2×#126—731no—
1097C2×#126—731no—
1098C2×#126—731no—
1099C2×#126—731no—
1100C2×#126—731no—
1101C2×#126—731no—
1102C2×#126—731no—
1103C2×#126—731no—
1104C2×#126—731no—
1105C2×#126—731no—
1106C2×#126C2×D7311yescharacteristic, complemented
1107C2×#126C2×D7311yescharacteristic, complemented
1108C2×#125—731no—
1109C2×#125—731no—
1110C2×#125—731no—
1111C2×#125—731no—
1112C2×#125—731no—
1113C2×#124—731no—
1114C2×#124—731no—
1115C2×#124—731no—
1116C2×#124—731no—
1117C2×#124—731no—
1118C2×#124—731no—
1119C2×#124—731no—
1120C2×#124—731no—
1121C2×#124—731no—
1122C2×#123—731no—
1123C2×#123—731no—
1124C2×#123—731no—
1125C2×#123—731no—
1126C2×#123—731no—
1127C2×#123—731no—
1128C2×#123—731no—
1129C2×#123—731no—
1130C2×#123—731no—
1131C2×#123—731no—
1132C2×#123—731no—
1133C2×#123—731no—
1134C2×#123—731no—
1135C2×#123—731no—
1136C2×#123—731no—
1137C2×#123—731no—
1138C2×#123—731no—
1139C2×#123—731no—
1140C2×#123—731no—
1141C2×#123—731no—
1142C2×#123—731no—
1143C2×#123C2×D7311yescharacteristic, complemented
1144C2×#123C2×D7311yescharacteristic, complemented
1145C2×#123C2×D7311yescharacteristic, complemented
1146C2×C22⋊Q8—731no—
1147C2×C22⋊Q8—731no—
1148C2×C22⋊Q8—731no—
1149C2×C22⋊Q8—731no—
1150C2×C22⋊Q8—731no—
1151C2×C22⋊Q8—731no—
1152C2×C22⋊Q8—731no—
1153C2×C22⋊Q8—731no—
1154C2×C22⋊Q8—731no—
1155C2×C22⋊Q8—731no—
1156C2×C22⋊Q8—731no—
1157C2×C22⋊Q8—731no—
1158C2×C22⋊Q8—731no—
1159C2×C22⋊Q8—731no—
1160C2×C22⋊Q8—731no—
1161C2×#121—731no—
1162C2×#121—731no—
1163C2×#121—731no—
1164C2×#121—731no—
1165C2×#121—731no—
1166C2×#121—731no—
1167C2×#121—731no—
1168C2×#121—731no—
1169C2×#121—731no—
1170C2×#121—731no—
1171C2×#121—731no—
1172C2×#121—731no—
1173C2×#121—731no—
1174C2×#121—731no—
1175C2×#121—731no—
1176C2×#121—731no—
1177C2×#121—731no—
1178C2×#121—731no—
1179C2×#121—731no—
1180C2×#121—731no—
1181C2×#121—731no—
1182C2×#121C2×D7311yescharacteristic
1183C2×#121C2×D7311yescharacteristic
1184C2×#121C2×D7311yescharacteristic, complemented
1185C2×#121C2×D7311yescharacteristic, complemented
1186C2×#121C2×D7311yescharacteristic, complemented
1187C2×#121C2×D7311yescharacteristic, complemented
1188C2×#120—731no—
1189C2×#120—731no—
1190C2×#120—731no—
1191C2×#120—731no—
1192C2×#120—731no—
1193C2×#120—731no—
1194C2×#120—731no—
1195C2×#120C2×D7311yescharacteristic
1196C2×#120C2×D7311yescharacteristic, complemented
1197C2×#120C2×D7311yescharacteristic, complemented
1198C2×C4×Q8—731no—
1199C2×C4×D4—731no—
1200C2×C4×D4—731no—
1201C2×C4×D4—731no—
1202C2×C4×D4—731no—
1203C2×C4×D4—731no—
1204C2×C4×D4—731no—
1205C2×C4×D4—731no—
1206C2×C4×D4—731no—
1207C2×C4×D4—731no—
1208C2×C4×D4—731no—
1209C2×C4×D4—731no—
1210C2×C4×D4—731no—
1211C2×C4×D4—731no—
1212C2×C4×D4—731no—
1213C2×C4×D4—731no—
1214C2×C4×D4—731no—
1215C2×C4×D4—731no—
1216C2×C4×D4—731no—
1217C2×C4×D4—731no—
1218C2×#117—731no—
1219C2×#117—731no—
1220C2×#117—731no—
1221C2×#117—731no—
1222C22×C4⋊C4—731no—
1223C22×C4⋊C4—731no—
1224C22×C4⋊C4—731no—
1225C22×C4⋊C4—731no—
1226C22×C4⋊C4—731no—
1227C22×C22⋊C4—731no—
1228C22×C22⋊C4—731no—
1229C22×C22⋊C4—731no—
1230C22×C22⋊C4—731no—
1231C22×C22⋊C4—731no—
1232C22×C22⋊C4—731no—
1233C22×C22⋊C4—731no—
1234C22×C42—731no—
1235C25—731no—
1236C25—731no—
1237C25C22×D7311yescharacteristic
1238C2×#41—2924no—
1239C2×#41—2924no—
1240C2×#41—2924no—
1241C2×#41—2924no—
1242C2×#41—738no—
1243C2×#41—738no—
1244C2×#41—738no—
1245C2×#41—738no—
1246C22×Q8—731no—
1247C22×Q8—731no—
1248C22×Q8—731no—
1249C22×Q8—731no—
1250C22×Q8—731no—
1251C22×D4—2924no—
1252C22×D4—2924no—
1253C22×D4—731no—
1254C22×D4—731no—
1255C22×D4—731no—
1256C22×D4—731no—
1257C22×D4—731no—
1258C22×D4—731no—
1259C22×D4—731no—
1260C22×D4—731no—
1261C22×D4—731no—
1262C22×D4—738no—
1263C22×D4—738no—
1264C22×D4—731no—
1265C22×D4—731no—
1266C22×D4—731no—
1267C22×D4—731no—
1268C22×D4—731no—
1269C22×D4—731no—
1270C22×D4C22×D7311yescharacteristic
1271C22×D4C22×D7311yescharacteristic
1272C22×D4C22×D7311yescharacteristic
1273C22×D4C22×D7311yescharacteristic
1274C22×D4C22×D7311yescharacteristic
1275C22×D4C22×D7311yescharacteristic
1276C22×D4C22×D7311yescharacteristic
1277C22×D4C22×D7311yescharacteristic
1278C22×D4C22×D7311yescharacteristic
1279C22×D4C22×D7311yescharacteristic
1280C22×D4C22×D7311yescharacteristic
1281C22×D4C22×D7311yescharacteristic
1282C23×C4—731no—
1283C23×C4—731no—
1284C23×C4—731no—
1285C23×C4—731no—
1286C23×C4—731no—
1287C23×C4—731no—
1288C23×C4—731no—
1289C23×C4—731no—
1290C23×C4—731no—
1291C23×C4—731no—
1292C23×C4—731no—
1293C23×C4—731no—
1294C23×C4—731no—
1295C23×C4—731no—
1296C23×C4—731no—
1297C23×C4—731no—
1298C23×C4—731no—
1299C23×C4—731no—
1300C23×C4—731no—
1301C23×C4C22×D7311yescharacteristic
1302C23×C4C22×D7311yescharacteristic
1303C23×C4C22×D7311yescharacteristic
1304C4⋊Q8—738no—
1305C4⋊Q8—738no—
1306C4⋊Q8—738no—
1307#127C22×D7318yescomplemented
1308#126—738no—
1309#126—738no—
1310#126—738no—
1311#126—738no—
1312#126—738no—
1313#126—738no—
1314#126—738no—
1315#126—738no—
1316#126—738no—
1317#126—738no—
1318#126—738no—
1319#126—738no—
1320#126—738no—
1321#126—738no—
1322#126—738no—
1323#126—738no—
1324#126C22×D7318yescomplemented
1325#126C22×D7318yescomplemented
1326#125—738no—
1327#125—738no—
1328#125—738no—
1329#125—738no—
1330#125—738no—
1331#124—738no—
1332#124—738no—
1333#124—738no—
1334#124—738no—
1335#124—738no—
1336#124—738no—
1337#124—738no—
1338#124—738no—
1339#124—738no—
1340#123—738no—
1341#123—738no—
1342#123—738no—
1343#123—738no—
1344#123—738no—
1345#123—738no—
1346#123—738no—
1347#123—738no—
1348#123—738no—
1349#123—738no—
1350#123—738no—
1351#123—738no—
1352#123—738no—
1353#123—738no—
1354#123—738no—
1355#123—738no—
1356#123—738no—
1357#123—738no—
1358#123—738no—
1359#123—738no—
1360#123—738no—
1361#123C22×D7318yescomplemented
1362#123C22×D7318yescomplemented
1363#123C22×D7318yescomplemented
1364C22⋊Q8—738no—
1365C22⋊Q8—738no—
1366C22⋊Q8—738no—
1367C22⋊Q8—738no—
1368C22⋊Q8—738no—
1369C22⋊Q8—738no—
1370C22⋊Q8—738no—
1371C22⋊Q8—738no—
1372C22⋊Q8—738no—
1373C22⋊Q8—738no—
1374C22⋊Q8—738no—
1375C22⋊Q8—738no—
1376C22⋊Q8—738no—
1377C22⋊Q8—738no—
1378C22⋊Q8—738no—
1379#121—738no—
1380#121—738no—
1381#121—738no—
1382#121—738no—
1383#121—738no—
1384#121—738no—
1385#121—738no—
1386#121—738no—
1387#121—738no—
1388#121—738no—
1389#121—738no—
1390#121—738no—
1391#121—738no—
1392#121—738no—
1393#121—738no—
1394#121—738no—
1395#121—738no—
1396#121—738no—
1397#121—738no—
1398#121—738no—
1399#121—738no—
1400#121C22×D7318yes—
1401#121C22×D7318yes—
1402#121C22×D7318yescomplemented
1403#121C22×D7318yescomplemented
1404#121C22×D7318yescomplemented
1405#121C22×D7318yescomplemented
1406#120—738no—
1407#120—738no—
1408#120—738no—
1409#120—738no—
1410#120—738no—
1411#120—738no—
1412#120—738no—
1413#120C22×D7318yes—
1414#120C22×D7318yescomplemented
1415#120C22×D7318yescomplemented
1416C4×Q8—738no—
1417C4×D4—738no—
1418C4×D4—738no—
1419C4×D4—738no—
1420C4×D4—738no—
1421C4×D4—738no—
1422C4×D4—738no—
1423C4×D4—738no—
1424C4×D4—738no—
1425C4×D4—738no—
1426C4×D4—738no—
1427C4×D4—738no—
1428C4×D4—738no—
1429C4×D4—738no—
1430C4×D4—738no—
1431C4×D4—738no—
1432C4×D4—738no—
1433C4×D4—738no—
1434C4×D4—738no—
1435C4×D4—738no—
1436#117—738no—
1437#117—738no—
1438#117—738no—
1439#117—738no—
1440C2×C4⋊C4—731no—
1441C2×C4⋊C4—731no—
1442C2×C4⋊C4—731no—
1443C2×C4⋊C4—731no—
1444C2×C4⋊C4—731no—
1445C2×C4⋊C4—731no—
1446C2×C4⋊C4—731no—
1447C2×C4⋊C4—731no—
1448C2×C4⋊C4—731no—
1449C2×C4⋊C4—731no—
1450C2×C4⋊C4—731no—
1451C2×C4⋊C4—731no—
1452C2×C4⋊C4—731no—
1453C2×C4⋊C4—731no—
1454C2×C4⋊C4—731no—
1455C2×C4⋊C4—738no—
1456C2×C4⋊C4—738no—
1457C2×C4⋊C4—731no—
1458C2×C4⋊C4—731no—
1459C2×C4⋊C4—731no—
1460C2×C4⋊C4—731no—
1461C2×C4⋊C4—731no—
1462C2×C4⋊C4—731no—
1463C2×C4⋊C4—731no—
1464C2×C4⋊C4—731no—
1465C2×C4⋊C4—731no—
1466C2×C4⋊C4—731no—
1467C2×C4⋊C4—731no—
1468C2×C4⋊C4—731no—
1469C2×C4⋊C4—731no—
1470C2×C4⋊C4—731no—
1471C2×C4⋊C4—731no—
1472C2×C4⋊C4—731no—
1473C2×C4⋊C4—731no—
1474C2×C4⋊C4—738no—
1475C2×C4⋊C4—738no—
1476C2×C4⋊C4—738no—
1477C2×C4⋊C4C22×D7311yescharacteristic
1478C2×C4⋊C4C22×D7311yescharacteristic
1479C2×C4⋊C4C22×D7311yescharacteristic
1480C2×C4⋊C4C22×D7311yescharacteristic
1481C2×C4⋊C4C22×D7311yescharacteristic
1482C2×C4⋊C4C22×D7311yescharacteristic
1483C2×C22⋊C4—731no—
1484C2×C22⋊C4—731no—
1485C2×C22⋊C4—731no—
1486C2×C22⋊C4—731no—
1487C2×C22⋊C4—731no—
1488C2×C22⋊C4—731no—
1489C2×C22⋊C4—731no—
1490C2×C22⋊C4—731no—
1491C2×C22⋊C4—731no—
1492C2×C22⋊C4—731no—
1493C2×C22⋊C4—738no—
1494C2×C22⋊C4—738no—
1495C2×C22⋊C4—731no—
1496C2×C22⋊C4—731no—
1497C2×C22⋊C4—731no—
1498C2×C22⋊C4—731no—
1499C2×C22⋊C4—731no—
1500C2×C22⋊C4—731no—
1501C2×C22⋊C4—731no—
1502C2×C22⋊C4—731no—
1503C2×C22⋊C4—731no—
1504C2×C22⋊C4—731no—
1505C2×C22⋊C4—731no—
1506C2×C22⋊C4—731no—
1507C2×C22⋊C4—731no—
1508C2×C22⋊C4—731no—
1509C2×C22⋊C4—731no—
1510C2×C22⋊C4—731no—
1511C2×C22⋊C4—731no—
1512C2×C22⋊C4—731no—
1513C2×C22⋊C4—731no—
1514C2×C22⋊C4—731no—
1515C2×C22⋊C4—731no—
1516C2×C22⋊C4—731no—
1517C2×C22⋊C4—738no—
1518C2×C22⋊C4—731no—
1519C2×C22⋊C4—731no—
1520C2×C22⋊C4—731no—
1521C2×C22⋊C4—731no—
1522C2×C22⋊C4—731no—
1523C2×C22⋊C4—731no—
1524C2×C22⋊C4—738no—
1525C2×C22⋊C4—738no—
1526C2×C22⋊C4—738no—
1527C2×C22⋊C4—738no—
1528C2×C22⋊C4C22×D7311yescharacteristic
1529C2×C22⋊C4C22×D7311yescharacteristic
1530C2×C22⋊C4C22×D7311yescharacteristic
1531C2×C22⋊C4C22×D7311yescharacteristic
1532C2×C22⋊C4C22×D7311yescharacteristic
1533C2×C22⋊C4C22×D7311yescharacteristic
1534C2×C22⋊C4C22×D7311yescharacteristic
1535C2×C22⋊C4C22×D7311yescharacteristic
1536C2×C22⋊C4C22×D7311yescharacteristic
1537C2×C22⋊C4C22×D7311yescharacteristic
1538C2×C22⋊C4C22×D7311yescharacteristic
1539C2×C22⋊C4C22×D7311yescharacteristic
1540C2×C42—731no—
1541C2×C42—731no—
1542C2×C42—731no—
1543C2×C42—731no—
1544C2×C42—731no—
1545C2×C42—731no—
1546C2×C42—731no—
1547C2×C42—731no—
1548C2×C42—731no—
1549C2×C42—738no—
1550C2×C42C22×D7311yescharacteristic
1551C24—42no—
1552C24—42no—
1553C24—42no—
1554C24—2922no—
1555C24—2922no—
1556C24—2922no—
1557C24—2922no—
1558C24—2922no—
1559C24—734no—
1560C24—734no—
1561C24—731no—
1562C24—731no—
1563C24—731no—
1564C24—1464no—
1565C24C23×D7311yescharacteristic
1566C24C23×D7311yescharacteristic
1567C24C23×D7311yescharacteristic
1568C24C23×D7311yescharacteristic
1569C24C23×D7311yescharacteristic
1570C24C23×D7311yescharacteristic
1571C24C23×D7314yes—
1572#41—29216no—
1573#41—29216no—
1574#41—29216no—
1575#41—29216no—
1576C2×Q8—2922no—
1577C2×Q8—2922no—
1578C2×Q8—2922no—
1579C2×Q8—2922no—
1580C2×Q8—2922no—
1581C2×Q8—734no—
1582C2×Q8—734no—
1583C2×Q8—734no—
1584C2×Q8—734no—
1585C2×Q8—734no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4—42no—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—42no—
1598C2×D4—29216no—
1599C2×D4—29216no—
1600C2×D4—2922no—
1601C2×D4—2922no—
1602C2×D4—2922no—
1603C2×D4—2922no—
1604C2×D4—2922no—
1605C2×D4—2922no—
1606C2×D4—2922no—
1607C2×D4—2922no—
1608C2×D4—2922no—
1609C2×D4—734no—
1610C2×D4—734no—
1611C2×D4—734no—
1612C2×D4—734no—
1613C2×D4—734no—
1614C2×D4—734no—
1615C2×D4—734no—
1616C2×D4—734no—
1617C2×D4—734no—
1618C2×D4—734no—
1619C2×D4—734no—
1620C2×D4—734no—
1621C2×D4—734no—
1622C2×D4—734no—
1623C2×D4—734no—
1624C2×D4—1464no—
1625C2×D4—1464no—
1626C2×D4—1464no—
1627C2×D4—1464no—
1628C2×D4—1464no—
1629C2×D4—1464no—
1630C2×D4C23×D7314yes—
1631C2×D4C23×D7314yes—
1632C2×D4C23×D7314yes—
1633C2×D4C23×D7314yes—
1634C2×D4C23×D7314yes—
1635C2×D4C23×D7314yes—
1636C2×D4C23×D7314yes—
1637C2×D4C23×D7314yes—
1638C2×D4C23×D7314yes—
1639C2×D4C23×D7314yes—
1640C2×D4C23×D7314yes—
1641C2×D4C23×D7314yes—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—2922no—
1646C22×C4—2922no—
1647C22×C4—2922no—
1648C22×C4—2922no—
1649C22×C4—2922no—
1650C22×C4—2922no—
1651C22×C4—2922no—
1652C22×C4—2922no—
1653C22×C4—2922no—
1654C22×C4—2922no—
1655C22×C4—2922no—
1656C22×C4—2922no—
1657C22×C4—2922no—
1658C22×C4—2922no—
1659C22×C4—2922no—
1660C22×C4—2922no—
1661C22×C4—2922no—
1662C22×C4—734no—
1663C22×C4—734no—
1664C22×C4—734no—
1665C22×C4—734no—
1666C22×C4—734no—
1667C22×C4—734no—
1668C22×C4—734no—
1669C22×C4—734no—
1670C22×C4—734no—
1671C22×C4—734no—
1672C22×C4—734no—
1673C22×C4—734no—
1674C22×C4—734no—
1675C22×C4—734no—
1676C22×C4—734no—
1677C22×C4—734no—
1678C22×C4—734no—
1679C22×C4—731no—
1680C22×C4—731no—
1681C22×C4—731no—
1682C22×C4—731no—
1683C22×C4—731no—
1684C22×C4—731no—
1685C22×C4—731no—
1686C22×C4—731no—
1687C22×C4—731no—
1688C22×C4—731no—
1689C22×C4—731no—
1690C22×C4—731no—
1691C22×C4—731no—
1692C22×C4—734no—
1693C22×C4—734no—
1694C22×C4—1464no—
1695C22×C4—1464no—
1696C22×C4C23×D7311yescharacteristic
1697C22×C4C23×D7311yescharacteristic
1698C22×C4C23×D7311yescharacteristic
1699C22×C4C23×D7311yescharacteristic
1700C22×C4C23×D7311yescharacteristic
1701C22×C4C23×D7311yescharacteristic
1702C22×C4C23×D7311yescharacteristic
1703C22×C4C23×D7311yescharacteristic
1704C22×C4C23×D7311yescharacteristic
1705C22×C4C23×D7314yes—
1706C22×C4C23×D7314yes—
1707C22×C4C23×D7314yes—
1708C4⋊C4—734no—
1709C4⋊C4—734no—
1710C4⋊C4—734no—
1711C4⋊C4—734no—
1712C4⋊C4—734no—
1713C4⋊C4—734no—
1714C4⋊C4—734no—
1715C4⋊C4—734no—
1716C4⋊C4—734no—
1717C4⋊C4—734no—
1718C4⋊C4—734no—
1719C4⋊C4—734no—
1720C4⋊C4—734no—
1721C4⋊C4—734no—
1722C4⋊C4—734no—
1723C4⋊C4—734no—
1724C4⋊C4—734no—
1725C4⋊C4—734no—
1726C4⋊C4—734no—
1727C4⋊C4—734no—
1728C4⋊C4—734no—
1729C4⋊C4—734no—
1730C4⋊C4—734no—
1731C4⋊C4—734no—
1732C4⋊C4—734no—
1733C4⋊C4—734no—
1734C4⋊C4—734no—
1735C4⋊C4—734no—
1736C4⋊C4—734no—
1737C4⋊C4—734no—
1738C4⋊C4—734no—
1739C4⋊C4—734no—
1740C4⋊C4C23×D7314yes—
1741C4⋊C4C23×D7314yes—
1742C4⋊C4C23×D7314yes—
1743C4⋊C4C23×D7314yes—
1744C4⋊C4C23×D7314yes—
1745C4⋊C4C23×D7314yes—
1746C22⋊C4—734no—
1747C22⋊C4—734no—
1748C22⋊C4—734no—
1749C22⋊C4—734no—
1750C22⋊C4—734no—
1751C22⋊C4—734no—
1752C22⋊C4—734no—
1753C22⋊C4—734no—
1754C22⋊C4—734no—
1755C22⋊C4—734no—
1756C22⋊C4—734no—
1757C22⋊C4—734no—
1758C22⋊C4—734no—
1759C22⋊C4—734no—
1760C22⋊C4—734no—
1761C22⋊C4—734no—
1762C22⋊C4—734no—
1763C22⋊C4—734no—
1764C22⋊C4—734no—
1765C22⋊C4—734no—
1766C22⋊C4—734no—
1767C22⋊C4—734no—
1768C22⋊C4—734no—
1769C22⋊C4—734no—
1770C22⋊C4—734no—
1771C22⋊C4—734no—
1772C22⋊C4—734no—
1773C22⋊C4—734no—
1774C22⋊C4—734no—
1775C22⋊C4—734no—
1776C22⋊C4—734no—
1777C22⋊C4—734no—
1778C22⋊C4—734no—
1779C22⋊C4—734no—
1780C22⋊C4—734no—
1781C22⋊C4—734no—
1782C22⋊C4—734no—
1783C22⋊C4—734no—
1784C22⋊C4C23×D7314yes—
1785C22⋊C4C23×D7314yes—
1786C22⋊C4C23×D7314yes—
1787C22⋊C4C23×D7314yes—
1788C22⋊C4C23×D7314yes—
1789C22⋊C4C23×D7314yes—
1790C22⋊C4C23×D7314yes—
1791C22⋊C4C23×D7314yes—
1792C22⋊C4C23×D7314yes—
1793C22⋊C4C23×D7314yes—
1794C22⋊C4C23×D7314yes—
1795C22⋊C4C23×D7314yes—
1796C42—734no—
1797C42—734no—
1798C42—734no—
1799C42—734no—
1800C42—734no—
1801C42—734no—
1802C42—734no—
1803C42—734no—
1804C42—734no—
1805C42C23×D7314yes—
1806C23—22no—
1807C23—22no—
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—22no—
1815C23—22no—
1816C23—22no—
1817C23—22no—
1818C23—22no—
1819C23—22no—
1820C23—22no—
1821C23—22no—
1822C23—22no—
1823C23—22no—
1824C23—44no—
1825C23—44no—
1826C23—44no—
1827C23—88no—
1828C23—2924no—
1829C23—2924no—
1830C23—2924no—
1831C23—2924no—
1832C23—2924no—
1833C23—5848no—
1834C23—5848no—
1835C23—734no—
1836C23—732no—
1837C23—732no—
1838C23—732no—
1839C23—1468no—
1840C23—1462no—
1841C23—1462no—
1842C23—1462no—
1843C23—1462no—
1844C23—1462no—
1845C23—1462no—
1846C23—1462no—
1847C23—1462no—
1848C23C24×D7312yes—
1849C23C24×D7312yes—
1850C23C24×D7312yes—
1851C23C24×D7312yes—
1852C23C24×D7312yes—
1853C23C24×D7312yes—
1854C23C24×D7311yescharacteristic
1855Q8—2924no—
1856Q8—2924no—
1857Q8—2924no—
1858Q8—2924no—
1859Q8—2924no—
1860D4—44no—
1861D4—44no—
1862D4—44no—
1863D4—44no—
1864D4—44no—
1865D4—44no—
1866D4—44no—
1867D4—44no—
1868D4—44no—
1869D4—44no—
1870D4—44no—
1871D4—44no—
1872D4—2924no—
1873D4—2924no—
1874D4—2924no—
1875D4—2924no—
1876D4—2924no—
1877D4—2924no—
1878D4—2924no—
1879D4—2924no—
1880D4—2924no—
1881D4—1468no—
1882D4—1468no—
1883D4—1468no—
1884D4—1468no—
1885D4—1468no—
1886D4—1468no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—44no—
1897C2×C4—44no—
1898C2×C4—44no—
1899C2×C4—2924no—
1900C2×C4—2924no—
1901C2×C4—2924no—
1902C2×C4—2924no—
1903C2×C4—2924no—
1904C2×C4—2924no—
1905C2×C4—2924no—
1906C2×C4—2924no—
1907C2×C4—2924no—
1908C2×C4—2924no—
1909C2×C4—2924no—
1910C2×C4—2924no—
1911C2×C4—2924no—
1912C2×C4—2924no—
1913C2×C4—2924no—
1914C2×C4—2924no—
1915C2×C4—2924no—
1916C2×C4—732no—
1917C2×C4—732no—
1918C2×C4—732no—
1919C2×C4—732no—
1920C2×C4—732no—
1921C2×C4—732no—
1922C2×C4—732no—
1923C2×C4—732no—
1924C2×C4—732no—
1925C2×C4—732no—
1926C2×C4—732no—
1927C2×C4—732no—
1928C2×C4—732no—
1929C2×C4—1468no—
1930C2×C4—1468no—
1931C2×C4—1462no—
1932C2×C4—1462no—
1933C2×C4—1462no—
1934C2×C4—1462no—
1935C2×C4—1462no—
1936C2×C4—1462no—
1937C2×C4—1462no—
1938C2×C4—1462no—
1939C2×C4—1462no—
1940C2×C4—1462no—
1941C2×C4—1462no—
1942C2×C4—1462no—
1943C2×C4—1462no—
1944C2×C4C24×D7312yes—
1945C2×C4C24×D7312yes—
1946C2×C4C24×D7312yes—
1947C2×C4C24×D7312yes—
1948C2×C4C24×D7312yes—
1949C2×C4C24×D7312yes—
1950C2×C4C24×D7312yes—
1951C2×C4C24×D7312yes—
1952C2×C4C24×D7312yes—
1953C22—22no—
1954C22—22no—
1955C22—22no—
1956C22—22no—
1957C22—22no—
1958C22—22no—
1959C22—22no—
1960C22—22no—
1961C22—22no—
1962C22—22no—
1963C22—22no—
1964C22—22no—
1965C22—22no—
1966C22—22no—
1967C22—22no—
1968C22—22no—
1969C22—22no—
1970C22—22no—
1971C22—44no—
1972C22—44no—
1973C22—44no—
1974C22—44no—
1975C22—44no—
1976C22—44no—
1977C22—88no—
1978C22—2924no—
1979C22—2924no—
1980C22—5848no—
1981C22—5848no—
1982C22—734no—
1983C22—1462no—
1984C22—1462no—
1985C22—1462no—
1986C22—1462no—
1987C22—1462no—
1988C22—1462no—
1989C22—1468no—
1990C22—1462no—
1991C22—1462no—
1992C22H(5,𝔽2)×D7312yes—
1993C22#1798942212yes—
1994C22#1798942212yes—
1995C22C25×D7311yescharacteristic
1996C4—22no—
1997C4—22no—
1998C4—22no—
1999C4—22no—
2000C4—22no—
2001C4—22no—
2002C4—22no—
2003C4—22no—
2004C4—22no—
2005C4—1462no—
2006C4—1462no—
2007C4—1462no—
2008C4—1462no—
2009C4—1462no—
2010C4—1462no—
2011C4—1462no—
2012C4—1462no—
2013C4—1462no—
2014C4—1462no—
2015C4—1462no—
2016C4—1462no—
2017C4—1462no—
2018C2—42no—
2019C2—42no—
2020C2—42no—
2021C2—42no—
2022C2—42no—
2023C2—42no—
2024C2—2922no—
2025C2—2922no—
2026C2—1464no—
2027C2#2262448114yesdirect product factor
2028C2C2×H(5,𝔽2)×D7311yescharacteristic
2029C2C2×#1798942211yescharacteristic
2030C2C2×#1798942211yescharacteristic
subgroupG/H
centerC23C24×D73
commutator, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC2×#560×C73C2
socleC23×C73C25
hypercenterC2×#560D73
hypocenterC73C2×#3560
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#560

Complements

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

NH ≅ G/Ntype
1. #22624481C2direct (N × H)
2. C2×#17989339C2semidirect
3. C2×#17989339C2semidirect
4. C2×#17989324C2semidirect
5. C2×#17989289C2semidirect
6. C2×#17989284C2semidirect
7. C2×#17989282C2semidirect
8. C2×#17989280C2semidirect
9. C2×#17989268C2semidirect
10. C2×#17989260C2semidirect
11. C2×#17989237C2semidirect
12. C2×#17989235C2semidirect
13. C2×#17989234C2semidirect
14. C2×#17989226C2semidirect
15. C2×#17989224C2semidirect
16. C2×#17989224C2semidirect
17. C2×#17989205C2semidirect
18. C2×#17989204C2semidirect
19. C2×#17989182C2semidirect
20. C2×#17989181C2semidirect
21. C2×#17989180C2semidirect
22. C2×#17989174C2semidirect
23. C2×#17989172C2semidirect
24. C2×#17989172C2semidirect
25. C2×#17989169C2semidirect
26. C2×#17989169C2semidirect
27. C2×#17989166C2semidirect
28. C2×#17989147C2semidirect
29. C2×#17989135C2semidirect
30. C2×#17989120C2semidirect
31. C2×#126×D73C2semidirect
32. C2×#560×C73C2semidirect
33. C22×#11924028C22semidirect
34. C22×#11924027C22semidirect
35. C22×#11924027C22semidirect
36. C22×#11924027C22semidirect
39. #17989339C22semidirect
40. #17989339C22semidirect
41. #17989324C22semidirect
42. #17989289C22semidirect
43. #17989284C22semidirect
44. #17989282C22semidirect
45. #17989280C22semidirect
46. #17989268C22semidirect
47. #17989260C22semidirect
48. #17989237C22semidirect
49. #17989235C22semidirect
50. #17989234C22semidirect
51. #17989226C22semidirect
52. #17989224C22semidirect
53. #17989224C22semidirect
54. #17989205C22semidirect
55. #17989204C22semidirect
56. #17989182C22semidirect
57. #17989181C22semidirect
58. #17989180C22semidirect
59. #17989174C22semidirect
60. #17989172C22semidirect
61. #17989172C22semidirect
62. #17989169C22semidirect
63. #17989169C22semidirect
64. #17989166C22semidirect
65. #17989147C22semidirect
66. #17989135C22semidirect
67. C2×#14556591C22semidirect
68. C2×#14556590C22semidirect
69. C2×#14556590C22semidirect
70. #17989120C22semidirect
71. C2×#14556586C22semidirect
72. C2×#14556586C22semidirect
73. C2×#14556586C22semidirect
74. C2×#14556586C22semidirect
75. C2×#14556586C22semidirect
76. C2×#14556585C22semidirect
77. C2×#14556585C22semidirect
78. C2×#14556584C22semidirect
79. C2×#14556584C22semidirect
80. C2×#14556584C22semidirect
81. C2×#14556584C22semidirect
82. C2×#14556584C22semidirect
83. C2×#14556584C22semidirect
84. C2×#14556584C22semidirect
85. C2×#14556584C22semidirect
86. C2×#14556584C22semidirect
87. #126×D73C22semidirect
88. C2×#14556582C22semidirect
89. C2×#14556582C22semidirect
90. C2×#14556581C22semidirect
91. C2×#14556581C22semidirect
92. C2×#14556581C22semidirect
94. C2×#14556578C22semidirect
95. C2×#14556578C22semidirect
96. C2×#14556578C22semidirect
100. C2×#14556577C22semidirect
101. C2×#14556577C22semidirect
102. C2×#14556576C22semidirect
106. C2×#14556575C22semidirect
107. C2×#14556574C22semidirect
111. C2×#14556573C22semidirect
112. C2×#14556573C22semidirect
113. C2×#14556573C22semidirect
114. C2×#14556573C22semidirect
117. C2×#14556572C22semidirect
118. C2×#14556572C22semidirect
119. C2×#14556572C22semidirect
120. C2×#14556572C22semidirect
121. C2×#14556572C22semidirect
122. C2×#14556572C22semidirect
123. C2×#14556571C22semidirect
124. C2×#14556571C22semidirect
125. C2×#14556570C22semidirect
126. C2×#14556570C22semidirect
127. C2×#14556569C22semidirect
128. C2×#14556569C22semidirect
129. C2×#14556569C22semidirect
130. C2×#14556568C22semidirect
131. C2×#14556568C22semidirect
132. C2×#14556568C22semidirect
133. C2×#14556568C22semidirect
134. C2×#14556568C22semidirect
135. C2×#14556568C22semidirect
136. C2×#14556568C22semidirect
137. C2×#14556568C22semidirect
140. C2×#14556564C22semidirect
146. C2×#14556563C22semidirect
147. C2×#14556563C22semidirect
148. C2×#14556563C22semidirect
149. C2×#14556563C22semidirect
150. C2×#14556563C22semidirect
154. C2×#14556562C22semidirect
155. C2×#14556562C22semidirect
156. C2×#14556562C22semidirect
157. C2×#14556562C22semidirect
158. C2×#14556562C22semidirect
164. C2×#14556559C22semidirect
165. C2×#14556559C22semidirect
166. C2×#14556556C22semidirect
167. C2×D4×Dic73C22semidirect
168. C2×D4×Dic73C22semidirect
169. C2×D4×Dic73C22semidirect
170. C2×D4×Dic73C22semidirect
171. C2×D4×Dic73C22semidirect
172. C2×D4×Dic73C22semidirect
173. C2×D4×Dic73C22semidirect
174. C2×D4×Dic73C22semidirect
175. C2×#14556553C22semidirect
176. C2×C4×C22⋊D73C22semidirect
177. C2×C4×C22⋊D73C22semidirect
178. C2×C4×C22⋊D73C22semidirect
179. C2×C4×C22⋊D73C22semidirect
180. C2×#14556551C22semidirect
181. C2×#14556551C22semidirect
182. C2×#14556551C22semidirect
183. C2×#14556551C22semidirect
184. C2×#14556551C22semidirect
185. C2×#14556551C22semidirect
186. C2×#14556550C22semidirect
187. C2×#14556549C22semidirect
188. C2×#14556547C22semidirect
189. C2×#14556547C22semidirect
190. C22×C4⋊Dic73C22semidirect
191. C22×#11924007C22semidirect
192. C2×C4⋊C4×D73C22semidirect
193. C2×C4⋊C4×D73C22semidirect
194. C2×C4⋊C4×D73C22semidirect
195. C22×C22⋊Dic73C22semidirect
196. C22×C22⋊Dic73C22semidirect
197. C22×#11924005C22semidirect
201. C2×C22⋊C4×D73C22semidirect
202. C2×C42×D73C22semidirect
203. #560×C73C22semidirect
204. C2×#127×C73C22semidirect
205. C2×#126×C73C22semidirect
206. C2×#126×C73C22semidirect
207. C2×#123×C73C22semidirect
208. C2×#123×C73C22semidirect
209. C2×#123×C73C22semidirect
212. C2×#121×C73C22semidirect
213. C2×#121×C73C22semidirect
214. C2×#121×C73C22semidirect
215. C2×#121×C73C22semidirect
217. C2×#120×C73C22semidirect
218. C2×#120×C73C22semidirect
222. C2×#11924028C23semidirect
226. C2×#11924027C23semidirect
227. C2×#11924027C23semidirect
228. C2×#11924027C23semidirect
272. #14556591C23semidirect
273. #14556590C23semidirect
274. #14556590C23semidirect
275. #14556586C23semidirect
276. #14556586C23semidirect
277. #14556586C23semidirect
278. #14556586C23semidirect
279. #14556586C23semidirect
280. #14556585C23semidirect
281. #14556585C23semidirect
282. #14556584C23semidirect
283. #14556584C23semidirect
284. #14556584C23semidirect
285. #14556584C23semidirect
286. #14556584C23semidirect
287. #14556584C23semidirect
288. #14556584C23semidirect
289. #14556584C23semidirect
290. #14556584C23semidirect
291. #14556582C23semidirect
292. #14556582C23semidirect
293. #14556581C23semidirect
294. #14556581C23semidirect
295. #14556581C23semidirect
297. #14556578C23semidirect
298. #14556578C23semidirect
299. #14556578C23semidirect
303. #14556577C23semidirect
304. #14556577C23semidirect
305. #14556576C23semidirect
309. #14556575C23semidirect
310. #14556574C23semidirect
314. #14556573C23semidirect
315. #14556573C23semidirect
316. #14556573C23semidirect
317. #14556573C23semidirect
320. #14556572C23semidirect
321. #14556572C23semidirect
322. #14556572C23semidirect
323. #14556572C23semidirect
324. #14556572C23semidirect
325. #14556572C23semidirect
326. #14556571C23semidirect
327. #14556571C23semidirect
328. #14556570C23semidirect
329. #14556570C23semidirect
330. #14556569C23semidirect
331. #14556569C23semidirect
332. #14556569C23semidirect
333. #14556568C23semidirect
334. #14556568C23semidirect
335. #14556568C23semidirect
336. #14556568C23semidirect
337. #14556568C23semidirect
338. #14556568C23semidirect
339. #14556568C23semidirect
340. #14556568C23semidirect
343. #14556564C23semidirect
349. #14556563C23semidirect
350. #14556563C23semidirect
351. #14556563C23semidirect
352. #14556563C23semidirect
353. #14556563C23semidirect
357. #14556562C23semidirect
358. #14556562C23semidirect
359. #14556562C23semidirect
360. #14556562C23semidirect
361. #14556562C23semidirect
367. #14556559C23semidirect
368. #14556559C23semidirect
369. #14556556C23semidirect
370. D4×Dic73C23semidirect
371. D4×Dic73C23semidirect
372. D4×Dic73C23semidirect
373. D4×Dic73C23semidirect
374. D4×Dic73C23semidirect
375. D4×Dic73C23semidirect
376. D4×Dic73C23semidirect
377. D4×Dic73C23semidirect
378. #14556553C23semidirect
379. C4×C22⋊D73C23semidirect
380. C4×C22⋊D73C23semidirect
381. C4×C22⋊D73C23semidirect
382. C4×C22⋊D73C23semidirect
383. #14556551C23semidirect
384. #14556551C23semidirect
385. #14556551C23semidirect
386. #14556551C23semidirect
387. #14556551C23semidirect
388. #14556551C23semidirect
389. #14556550C23semidirect
390. #14556549C23semidirect
391. #14556547C23semidirect
392. #14556547C23semidirect
405. C2×C4⋊Dic73C23semidirect
426. C2×#11924007C23semidirect
427. C4⋊C4×D73C23semidirect
428. C4⋊C4×D73C23semidirect
429. C4⋊C4×D73C23semidirect
452. C2×C22⋊Dic73C23semidirect
453. C2×C22⋊Dic73C23semidirect
470. C2×#11924005C23semidirect
474. C22⋊C4×D73C23semidirect
484. C42×D73C23semidirect
501. #127×C73C23semidirect
502. #126×C73C23semidirect
503. #126×C73C23semidirect
504. #123×C73C23semidirect
505. #123×C73C23semidirect
506. #123×C73C23semidirect
509. #121×C73C23semidirect
510. #121×C73C23semidirect
511. #121×C73C23semidirect
512. #121×C73C23semidirect
514. #120×C73C23semidirect
515. #120×C73C23semidirect
1009. C2×C73#3560semidirect
1020. C2×#560D73semidirect
1048. C73C2×#3560semidirect
1058. #560C2×D73semidirect
1087. C2×#127C2×D73semidirect
1106. C2×#126C2×D73semidirect
1107. C2×#126C2×D73semidirect
1143. C2×#123C2×D73semidirect
1144. C2×#123C2×D73semidirect
1145. C2×#123C2×D73semidirect
1184. C2×#121C2×D73semidirect
1185. C2×#121C2×D73semidirect
1186. C2×#121C2×D73semidirect
1187. C2×#121C2×D73semidirect
1196. C2×#120C2×D73semidirect
1197. C2×#120C2×D73semidirect
1307. #127C22×D73semidirect
1324. #126C22×D73semidirect
1325. #126C22×D73semidirect
1361. #123C22×D73semidirect
1362. #123C22×D73semidirect
1363. #123C22×D73semidirect
1402. #121C22×D73semidirect
1403. #121C22×D73semidirect
1404. #121C22×D73semidirect
1405. #121C22×D73semidirect
1414. #120C22×D73semidirect
1415. #120C22×D73semidirect
2027. C2#22624481direct (N × H)

Maximal subgroups

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

subgroupindex
#226244812
C2×#179893392
C2×#179893242
C2×#179892892
C2×#179892842
C2×#179892822
C2×#179892802
C2×#179892682
C2×#179892602
C2×#179892372
C2×#179892352
C2×#179892342
C2×#179892262
C2×#179892242
C2×#179892052
C2×#179892042
C2×#179891822
C2×#179891812
C2×#179891802
C2×#179891742
C2×#179891722
C2×#179891692
C2×#179891662
C2×#179891472
C2×#179891352
C2×#179891202
C2×#126×D732
C2×#560×C732
C2×#356073