Finite Group Databasebeta

← C2×#22623969 #33993994

Subgroups — C2×#22623969 #33993994

Order 18688.

7910 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623969C2132yesmaximal, direct product factor
2C2×#17989304C211yesmaximal, characteristic, complemented
3C2×#17989296C211yesmaximal, characteristic, complemented
4C2×#17989291C211yesmaximal, characteristic, complemented
5C2×#17989273C211yesmaximal, characteristic, complemented
6C2×#17989270C211yesmaximal, characteristic, complemented
7C2×#17989263C211yesmaximal, characteristic, complemented
8C2×#17989261C211yesmaximal, characteristic, complemented
9C2×#17989260C211yesmaximal, characteristic, complemented
10C2×#17989250C211yesmaximal, characteristic, complemented
11C2×#17989246C211yesmaximal, characteristic, complemented
12C2×#17989245C211yesmaximal, characteristic, complemented
13C2×#17989235C211yesmaximal, characteristic, complemented
14C2×#17989235C211yesmaximal, characteristic, complemented
15C2×#17989227C211yesmaximal, characteristic, complemented
16C2×#17989224C211yesmaximal, characteristic, complemented
17C2×#17989203C211yesmaximal, characteristic, complemented
18C2×#17989201C211yesmaximal, characteristic, complemented
19C2×#17989186C211yesmaximal, characteristic, complemented
20C2×#17989181C211yesmaximal, characteristic, complemented
21C2×#17989180C211yesmaximal, characteristic, complemented
22C2×#17989178C211yesmaximal, characteristic, complemented
23C2×#17989140C211yesmaximal, characteristic, complemented
24C2×#17989114C211yesmaximal, characteristic, complemented
25C2×#17989096C211yesmaximal, characteristic, complemented
26C2×#17989093C211yesmaximal, characteristic, complemented
27C22×#14556568C211yesmaximal, characteristic, complemented
28C2×C22⋊Q8×D73C211yesmaximal, characteristic, complemented
29C2×#17989067C211yesmaximal, characteristic, complemented
30C2×#17989066C211yesmaximal, characteristic, complemented
31C22×#14556551C211yesmaximal, characteristic, complemented
32C2×#551×C73C211yesmaximal, characteristic, complemented
33C22×#11924028C2211yescharacteristic
34C22×#11924028C2211yescharacteristic, complemented
35C22×#11924027C2211yescharacteristic
36C22×#11924027C2211yescharacteristic, complemented
37C23×Dic146C2211yescharacteristic, complemented
38C22×Q8×D73C2211yescharacteristic, complemented
39C23×C22⋊D73C2211yescharacteristic
40C24×Dic73C2211yescharacteristic
41C23×C4×D73C2211yescharacteristic
42#17989304C22116yescomplemented
43#17989296C22116yescomplemented
44#17989291C22116yescomplemented
45#17989273C22116yescomplemented
46#17989270C22116yescomplemented
47#17989263C22116yescomplemented
48#17989261C22116yescomplemented
49#17989260C22116yescomplemented
50#17989250C22116yescomplemented
51#17989246C22116yescomplemented
52#17989245C22116yescomplemented
53#17989235C22116yescomplemented
54#17989235C22116yescomplemented
55#17989227C22116yescomplemented
56#17989224C22116yescomplemented
57#17989203C22116yescomplemented
58#17989201C22116yescomplemented
59#17989186C22116yescomplemented
60#17989181C22116yescomplemented
61#17989180C22116yescomplemented
62#17989178C22116yescomplemented
63#17989140C22116yescomplemented
64C2×#14556590C2211yescharacteristic, complemented
65C2×#14556590C2211yescharacteristic, complemented
66C2×#14556590C2211yescharacteristic, complemented
67C2×#14556589C2211yescharacteristic, complemented
68#17989114C22116yescomplemented
69C2×#14556586C2211yescharacteristic, complemented
70C2×#14556586C2211yescharacteristic, complemented
71C2×#14556586C2211yescharacteristic, complemented
72C2×#14556586C2211yescharacteristic, complemented
73C2×#14556585C2211yescharacteristic, complemented
74C2×#14556584C2211yescharacteristic, complemented
75C2×#14556584C2211yescharacteristic, complemented
76C2×#14556584C2211yescharacteristic, complemented
77C2×#14556583C2211yescharacteristic, complemented
78C2×#14556582C2211yescharacteristic, complemented
79C2×#14556582C2211yescharacteristic, complemented
80C2×#14556582C2211yescharacteristic, complemented
81C2×#14556581C2211yescharacteristic, complemented
82C2×#14556581C2211yescharacteristic, complemented
83C2×#14556581C2211yescharacteristic, complemented
84C2×#14556579C2211yescharacteristic, complemented
85C2×#14556577C2211yescharacteristic
86C2×#14556577C2211yescharacteristic
87C2×#14556577C2211yescharacteristic, complemented
88C2×#14556577C2211yescharacteristic, complemented
89C2×#14556577C2211yescharacteristic, complemented
90#17989096C22116yescomplemented
91#17989093C22116yescomplemented
92C2×#14556576C2211yescharacteristic, complemented
93C2×#14556576C2211yescharacteristic, complemented
94C2×#14556576C2211yescharacteristic, complemented
95C2×#14556575C2211yescharacteristic
96C2×#14556575C2211yescharacteristic, complemented
97C2×#14556575C2211yescharacteristic, complemented
98C2×#14556575C2211yescharacteristic, complemented
99C2×#14556574C2211yescharacteristic
100C2×#14556574C2211yescharacteristic
101C2×#14556573C2211yescharacteristic
102C2×#14556573C2211yescharacteristic
103C2×#14556573C2211yescharacteristic, complemented
104C2×#14556573C2211yescharacteristic, complemented
105C2×#14556573C2211yescharacteristic, complemented
106C2×#14556572C2211yescharacteristic, complemented
107C2×#14556571C2211yescharacteristic, complemented
108C2×#14556571C2211yescharacteristic, complemented
109C2×#14556570C2211yescharacteristic
110C2×#14556570C2211yescharacteristic, complemented
111C2×#14556569C2211yescharacteristic, complemented
112C2×#14556569C2211yescharacteristic, complemented
113C2×#14556569C2211yescharacteristic, complemented
114C2×#14556569C2211yescharacteristic, complemented
115C2×#14556569C2211yescharacteristic, complemented
116C2×#14556569C2211yescharacteristic, complemented
117C2×#14556568C2211yescharacteristic
118C2×#14556568C2211yescharacteristic
119C2×#14556568C2211yescharacteristic
120C2×#14556568C2211yescharacteristic
121C2×#14556568C2211yescharacteristic
122C2×#14556568C2211yescharacteristic
123C2×#14556568C2211yescharacteristic
124C2×#14556568C2211yescharacteristic, complemented
125C2×#14556568C2211yescharacteristic, complemented
126C2×#14556568C2211yescharacteristic, complemented
127C2×#14556568C2211yescharacteristic, complemented
128C2×#14556568C2211yescharacteristic, complemented
129C2×#14556568C2211yescharacteristic, complemented
130C2×#14556568C2211yescharacteristic, complemented
131C2×#14556568C2211yescharacteristic, complemented
132C2×#14556568C22116yescomplemented
133C2×#14556567C2211yescharacteristic, complemented
134C2×#14556567C2211yescharacteristic, complemented
135C22⋊Q8×D73C22116yescomplemented
136C2×#14556565C2211yescharacteristic
137C2×#14556564C2211yescharacteristic
138C2×#14556564C2211yescharacteristic
139C2×#14556564C2211yescharacteristic, complemented
140C2×#14556563C2211yescharacteristic
141C2×#14556563C2211yescharacteristic
142C2×#14556563C2211yescharacteristic
143C2×#14556563C2211yescharacteristic, complemented
144C2×#14556562C2211yescharacteristic
145C2×#14556561C2211yescharacteristic
146C2×#14556560C2211yescharacteristic
147C2×#14556559C2211yescharacteristic
148#17989067C22116yescomplemented
149#17989066C22116yescomplemented
150C2×C4×Dic146C2211yescharacteristic, complemented
151C2×C4×Dic146C2211yescharacteristic, complemented
152C2×C4×Dic146C2211yescharacteristic, complemented
153C2×C4×Dic146C2211yescharacteristic, complemented
154C2×C4×Dic146C2211yescharacteristic, complemented
155C2×#14556556C2211yescharacteristic, complemented
156C2×#14556556C2211yescharacteristic, complemented
157C2×C4×D292C2211yescharacteristic, complemented
158C2×C4×D292C2211yescharacteristic, complemented
159C2×D4×Dic73C2211yescharacteristic
160C2×D4×Dic73C2211yescharacteristic
161C2×D4×Dic73C2211yescharacteristic, complemented
162C2×C4×C22⋊D73C2211yescharacteristic
163C2×C4×C22⋊D73C2211yescharacteristic
164C2×C4×C22⋊D73C2211yescharacteristic, complemented
165C2×#14556551C2211yescharacteristic
166C2×#14556551C2211yescharacteristic
167C2×#14556551C2211yescharacteristic
168C2×#14556551C2211yescharacteristic
169C2×#14556551C2211yescharacteristic
170C2×#14556551C2211yescharacteristic
171C2×#14556551C2211yescharacteristic
172C2×#14556551C2211yescharacteristic
173C2×#14556551C2211yescharacteristic
174C2×#14556551C2211yescharacteristic
175C2×#14556551C2211yescharacteristic
176C2×#14556551C22116yescomplemented
177C2×#14556551C2211yescharacteristic, complemented
178C2×#14556551C2211yescharacteristic, complemented
179C2×#14556551C2211yescharacteristic, complemented
180C2×#14556551C2211yescharacteristic, complemented
181C2×#14556550C2211yescharacteristic
182C2×#14556549C2211yescharacteristic, complemented
183C2×#14556549C2211yescharacteristic, complemented
184C2×#14556548C2211yescharacteristic, complemented
185C2×#14556548C2211yescharacteristic, complemented
186C2×#14556547C2211yescharacteristic, complemented
187C2×#14556547C2211yescharacteristic, complemented
188C2×#14556547C2211yescharacteristic, complemented
189C22×C4⋊Dic73C2211yescharacteristic, complemented
190C22×#11924007C2211yescharacteristic
191C22×#11924007C2211yescharacteristic, complemented
192C22×#11924007C2211yescharacteristic, complemented
193C22×#11924007C2211yescharacteristic, complemented
194C2×C4⋊C4×D73C2211yescharacteristic, complemented
195C2×C4⋊C4×D73C2211yescharacteristic, complemented
196C2×C4⋊C4×D73C2211yescharacteristic, complemented
197C2×C4⋊C4×D73C2211yescharacteristic, complemented
198C22×C22⋊Dic73C2211yescharacteristic
199C22×#11924005C2211yescharacteristic
200C2×C22⋊C4×D73C2211yescharacteristic
201C2×C22⋊C4×D73C2211yescharacteristic
202C22×C4×Dic73C2211yescharacteristic
203#551×C73C22116yescomplemented
204C2×#126×C73C2211yescharacteristic, complemented
205C2×#126×C73C2211yescharacteristic, complemented
206C2×#124×C73C2211yescharacteristic, complemented
207C2×#123×C73C2211yescharacteristic
208C2×#123×C73C2211yescharacteristic, complemented
209C2×#123×C73C2211yescharacteristic, complemented
210C2×C22⋊Q8×C73C2211yescharacteristic
211C2×C22⋊Q8×C73C2211yescharacteristic, complemented
212C2×#120×C73C2211yescharacteristic
213C2×C4×D4×C73C2211yescharacteristic
214C2×C4×D4×C73C2211yescharacteristic, complemented
215C2×#117×C73C2211yescharacteristic
216C2×#117×C73C2211yescharacteristic, complemented
217C22×C22⋊C4×C73C2211yescharacteristic
218C22×C22⋊C4×C73C2211yescharacteristic
219C24×D73C2311yescharacteristic
220C2×#11924028—28no—
221C2×#11924028—44no—
222C2×#11924028C2318yes—
223C2×#11924028C2318yescomplemented
224C2×#11924027—28no—
225C2×#11924027—44no—
226C2×#11924027C2318yes—
227C2×#11924027C2318yescomplemented
228C22×Dic146—44no—
229C22×Dic146C2311yescharacteristic
230C22×Dic146C2311yescharacteristic
231C22×Dic146C2311yescharacteristic
232C22×Dic146C2311yescharacteristic
233C22×Dic146C2311yescharacteristic
234C22×Dic146C2311yescharacteristic
235C22×Dic146C2311yescharacteristic
236C22×Dic146C2311yescharacteristic
237C22×Dic146C2318yescomplemented
238C2×Q8×D73—44no—
239C2×Q8×D73C2318yescomplemented
240C22×D292C2311yescharacteristic
241C22×D292C2311yescharacteristic
242C22×C22⋊D73—28no—
243C22×C22⋊D73C2318yes—
244C22×C22⋊D73C2311yescharacteristic
245C22×C22⋊D73C2311yescharacteristic
246C22×C22⋊D73C2311yescharacteristic
247C22×C22⋊D73C2311yescharacteristic
248C22×C22⋊D73C2311yescharacteristic
249C22×C22⋊D73C2311yescharacteristic
250C22×C22⋊D73C2311yescharacteristic
251C22×C22⋊D73C2311yescharacteristic
252C22×C22⋊D73C2311yescharacteristic
253C22×C22⋊D73C2311yescharacteristic
254C23×Dic73—44no—
255C23×Dic73C2311yescharacteristic
256C23×Dic73C2311yescharacteristic
257C23×Dic73C2311yescharacteristic
258C23×Dic73C2311yescharacteristic
259C23×Dic73C2311yescharacteristic
260C23×Dic73C2311yescharacteristic
261C23×Dic73C2311yescharacteristic
262C23×Dic73C2311yescharacteristic
263C23×Dic73C2311yescharacteristic
264C23×Dic73C2318yes—
265C23×Dic73C2311yescharacteristic
266C23×Dic73C2311yescharacteristic
267C22×C4×D73—44no—
268C22×C4×D73C2311yescharacteristic
269C22×C4×D73C2311yescharacteristic
270C22×C4×D73C2311yescharacteristic
271C22×C4×D73C2311yescharacteristic
272C22×C4×D73C2311yescharacteristic
273C22×C4×D73C2311yescharacteristic
274C22×C4×D73C2311yescharacteristic
275C22×C4×D73C2318yes—
276C22×C4×D73C2311yescharacteristic
277C22×C4×D73C2311yescharacteristic
278C22×C4×D73C2311yescharacteristic
279C22×C4×D73C2311yescharacteristic
280#14556590C2318yescomplemented
281#14556590C2318yescomplemented
282#14556590C2318yescomplemented
283#14556589C2318yescomplemented
284#14556586C2318yescomplemented
285#14556586C2318yescomplemented
286#14556586C2318yescomplemented
287#14556586C2318yescomplemented
288#14556585C2318yescomplemented
289#14556584C2318yescomplemented
290#14556584C2318yescomplemented
291#14556584C2318yescomplemented
292#14556583C2318yescomplemented
293#14556582C2318yescomplemented
294#14556582C2318yescomplemented
295#14556582C2318yescomplemented
296#14556581C2318yescomplemented
297#14556581C2318yescomplemented
298#14556581C2318yescomplemented
299#14556579C2318yescomplemented
300#14556577C2318yes—
301#14556577C2318yes—
302#14556577C2318yescomplemented
303#14556577C2318yescomplemented
304#14556577C2318yescomplemented
305#14556576C2318yescomplemented
306#14556576C2318yescomplemented
307#14556576C2318yescomplemented
308#14556575C2318yes—
309#14556575C2318yescomplemented
310#14556575C2318yescomplemented
311#14556575C2318yescomplemented
312#14556574C2318yes—
313#14556574C2318yes—
314#14556573C2318yes—
315#14556573C2318yes—
316#14556573C2318yescomplemented
317#14556573C2318yescomplemented
318#14556573C2318yescomplemented
319#14556572C2318yescomplemented
320#14556571C2318yescomplemented
321#14556571C2318yescomplemented
322#14556570C2318yes—
323#14556570C2318yescomplemented
324#14556569C2318yescomplemented
325#14556569C2318yescomplemented
326#14556569C2318yescomplemented
327#14556569C2318yescomplemented
328#14556569C2318yescomplemented
329#14556569C2318yescomplemented
330#14556568C2318yes—
331#14556568C2318yes—
332#14556568C2318yes—
333#14556568C2318yes—
334#14556568C2318yes—
335#14556568C2318yes—
336#14556568C2318yes—
337#14556568C2318yescomplemented
338#14556568C2318yescomplemented
339#14556568C2318yescomplemented
340#14556568C2318yescomplemented
341#14556568C2318yescomplemented
342#14556568C2318yescomplemented
343#14556568C2318yescomplemented
344#14556568C2318yescomplemented
345#14556567C2318yescomplemented
346#14556567C2318yescomplemented
347#14556565C2318yes—
348#14556564C2318yes—
349#14556564C2318yes—
350#14556564C2318yescomplemented
351#14556563C2318yes—
352#14556563C2318yes—
353#14556563C2318yes—
354#14556563C2318yescomplemented
355#14556562C2318yes—
356#14556561C2318yes—
357#14556560C2318yes—
358#14556559C2318yes—
359C4×Dic146C2318yescomplemented
360C4×Dic146C2318yescomplemented
361C4×Dic146C2318yescomplemented
362C4×Dic146C2318yescomplemented
363C4×Dic146C2318yescomplemented
364#14556556C2318yescomplemented
365#14556556C2318yescomplemented
366C4×D292C2318yescomplemented
367C4×D292C2318yescomplemented
368D4×Dic73C2318yes—
369D4×Dic73C2318yes—
370D4×Dic73C2318yescomplemented
371C4×C22⋊D73C2318yes—
372C4×C22⋊D73C2318yes—
373C4×C22⋊D73C2318yescomplemented
374#14556551C2318yes—
375#14556551C2318yes—
376#14556551C2318yes—
377#14556551C2318yes—
378#14556551C2318yes—
379#14556551C2318yes—
380#14556551C2318yes—
381#14556551C2318yes—
382#14556551C2318yes—
383#14556551C2318yes—
384#14556551C2318yes—
385#14556551C2318yescomplemented
386#14556551C2318yescomplemented
387#14556551C2318yescomplemented
388#14556551C2318yescomplemented
389#14556550C2318yes—
390#14556549C2318yescomplemented
391#14556549C2318yescomplemented
392#14556548C2318yescomplemented
393#14556548C2318yescomplemented
394#14556547C2318yescomplemented
395#14556547C2318yescomplemented
396#14556547C2318yescomplemented
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⋊Dic73C2311yescharacteristic
406C2×C4⋊Dic73C2311yescharacteristic
407C2×C4⋊Dic73C2311yescharacteristic
408C2×C4⋊Dic73C2311yescharacteristic
409C2×C4⋊Dic73C2318yescomplemented
410C2×#11924007C2311yescharacteristic
411C2×#11924007C2311yescharacteristic
412C2×#11924007C2311yescharacteristic
413C2×#11924007C2311yescharacteristic
414C2×#11924007C2311yescharacteristic
415C2×#11924007C2311yescharacteristic
416C2×#11924007C2311yescharacteristic
417C2×#11924007C2318yes—
418C2×#11924007C2311yescharacteristic
419C2×#11924007C2311yescharacteristic
420C2×#11924007C2311yescharacteristic
421C2×#11924007C2311yescharacteristic
422C2×#11924007C2311yescharacteristic
423C2×#11924007C2311yescharacteristic
424C2×#11924007C2311yescharacteristic
425C2×#11924007C2311yescharacteristic
426C2×#11924007C2311yescharacteristic
427C2×#11924007C2311yescharacteristic
428C2×#11924007C2311yescharacteristic
429C2×#11924007C2311yescharacteristic
430C2×#11924007C2311yescharacteristic
431C2×#11924007C2311yescharacteristic
432C2×#11924007C2311yescharacteristic
433C2×#11924007C2311yescharacteristic
434C2×#11924007C2311yescharacteristic
435C2×#11924007C2311yescharacteristic
436C2×#11924007C2311yescharacteristic
437C2×#11924007C2318yescomplemented
438C2×#11924007C2318yescomplemented
439C2×#11924007C2318yescomplemented
440C4⋊C4×D73C2318yescomplemented
441C4⋊C4×D73C2318yescomplemented
442C4⋊C4×D73C2318yescomplemented
443C4⋊C4×D73C2318yescomplemented
444C2×C22⋊Dic73C2318yes—
445C2×C22⋊Dic73C2311yescharacteristic
446C2×C22⋊Dic73C2311yescharacteristic
447C2×C22⋊Dic73C2311yescharacteristic
448C2×C22⋊Dic73C2311yescharacteristic
449C2×C22⋊Dic73C2311yescharacteristic
450C2×C22⋊Dic73C2311yescharacteristic
451C2×C22⋊Dic73C2311yescharacteristic
452C2×C22⋊Dic73C2311yescharacteristic
453C2×C22⋊Dic73C2311yescharacteristic
454C2×C22⋊Dic73C2311yescharacteristic
455C2×#11924005C2318yes—
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×#11924005C2311yescharacteristic
471C2×#11924005C2311yescharacteristic
472C2×#11924005C2311yescharacteristic
473C2×#11924005C2311yescharacteristic
474C22⋊C4×D73C2318yes—
475C22⋊C4×D73C2318yes—
476C2×C4×Dic73C2311yescharacteristic
477C2×C4×Dic73C2311yescharacteristic
478C2×C4×Dic73C2311yescharacteristic
479C2×C4×Dic73C2318yes—
480C2×C4×Dic73C2311yescharacteristic
481C2×C4×Dic73C2311yescharacteristic
482C2×C4×Dic73C2311yescharacteristic
483C2×C4×Dic73C2311yescharacteristic
484C2×C4×Dic73C2311yescharacteristic
485C2×C4×Dic73C2311yescharacteristic
486C2×C4×Dic73C2311yescharacteristic
487C2×C4×Dic73C2311yescharacteristic
488C25×C73C2311yescharacteristic
489C22×Q8×C73C2311yescharacteristic
490C22×D4×C73C2311yescharacteristic
491C22×D4×C73C2311yescharacteristic
492C22×D4×C73C2311yescharacteristic
493C23×C4×C73C2311yescharacteristic
494C23×C4×C73C2311yescharacteristic
495C23×C4×C73C2311yescharacteristic
496C23×C4×C73C2311yescharacteristic
497C23×C4×C73C2311yescharacteristic
498#126×C73C2318yescomplemented
499#126×C73C2318yescomplemented
500#124×C73C2318yescomplemented
501#123×C73C2318yes—
502#123×C73C2318yescomplemented
503#123×C73C2318yescomplemented
504C22⋊Q8×C73C2318yes—
505C22⋊Q8×C73C2318yescomplemented
506#120×C73C2318yes—
507C4×D4×C73C2318yes—
508C4×D4×C73C2318yescomplemented
509#117×C73C2318yes—
510#117×C73C2318yescomplemented
511C2×C4⋊C4×C73C2311yescharacteristic
512C2×C4⋊C4×C73C2311yescharacteristic
513C2×C4⋊C4×C73C2311yescharacteristic
514C2×C4⋊C4×C73C2311yescharacteristic
515C2×C4⋊C4×C73C2311yescharacteristic
516C2×C4⋊C4×C73C2311yescharacteristic
517C2×C4⋊C4×C73C2311yescharacteristic
518C2×C4⋊C4×C73C2311yescharacteristic
519C2×C22⋊C4×C73C2318yes—
520C2×C22⋊C4×C73C2311yescharacteristic
521C2×C22⋊C4×C73C2311yescharacteristic
522C2×C22⋊C4×C73C2318yes—
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×C22⋊C4×C73C2311yescharacteristic
535C2×C42×C73C2311yescharacteristic
536C2×C42×C73C2311yescharacteristic
537C2×C42×C73C2311yescharacteristic
538C23×D73—24no—
539C23×D73—24no—
540C23×D73—42no—
541C23×D73C2411yescharacteristic
542C23×D73C2411yescharacteristic
543C23×D73C2414yes—
544C23×D73C2411yescharacteristic
545#11924028—232no—
546#11924028—416no—
547#11924027—232no—
548#11924027—416no—
549C2×Dic146—24no—
550C2×Dic146—24no—
551C2×Dic146—24no—
552C2×Dic146—24no—
553C2×Dic146—24no—
554C2×Dic146—416no—
555C2×Dic146—42no—
556C2×Dic146—42no—
557C2×Dic146—42no—
558C2×Dic146C2414yes—
559C2×Dic146C2414yes—
560C2×Dic146C2414yes—
561C2×Dic146C2414yes—
562C2×Dic146C2414yes—
563C2×Dic146C2414yes—
564C2×Dic146C2414yes—
565C2×Dic146C2414yes—
566Q8×D73—416no—
567C2×D292—24no—
568C2×D292—42no—
569C2×D292C2414yes—
570C2×D292C2414yes—
571C2×C22⋊D73—24no—
572C2×C22⋊D73—24no—
573C2×C22⋊D73—24no—
574C2×C22⋊D73—24no—
575C2×C22⋊D73—24no—
576C2×C22⋊D73—232no—
577C2×C22⋊D73—24no—
578C2×C22⋊D73—24no—
579C2×C22⋊D73—42no—
580C2×C22⋊D73—42no—
581C2×C22⋊D73#4118yescomplemented
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—
591C2×C22⋊D73C2414yes—
592C22×Dic73—24no—
593C22×Dic73—24no—
594C22×Dic73—24no—
595C22×Dic73—24no—
596C22×Dic73—24no—
597C22×Dic73—24no—
598C22×Dic73—416no—
599C22×Dic73—42no—
600C22×Dic73—42no—
601C22×Dic73—42no—
602C22×Dic73—42no—
603C22×Dic73—42no—
604C22×Dic73C2411yescharacteristic
605C22×Dic73C2411yescharacteristic
606C22×Dic73C2411yescharacteristic
607C22×Dic73C2411yescharacteristic
608C22×Dic73C2411yescharacteristic
609C22×Dic73C2411yescharacteristic
610C22×Dic73C2414yes—
611C22×Dic73C2414yes—
612C22×Dic73C2411yescharacteristic
613C22×Dic73C2411yescharacteristic
614C22×Dic73C2411yescharacteristic
615C22×Dic73C2411yescharacteristic
616C22×Dic73C2411yescharacteristic
617C22×Dic73C2414yes—
618C22×Dic73C2414yes—
619C22×Dic73C2414yes—
620C22×Dic73C2414yes—
621C22×Dic73C2414yes—
622C22×Dic73C2414yes—
623C22×Dic73C2414yes—
624C22×Dic73C2414yes—
625C22×Dic73C2414yes—
626C22×Dic73C2411yescharacteristic
627C22×Dic73C2411yescharacteristic
628C2×C4×D73—24no—
629C2×C4×D73—24no—
630C2×C4×D73—24no—
631C2×C4×D73—24no—
632C2×C4×D73—24no—
633C2×C4×D73—416no—
634C2×C4×D73—42no—
635C2×C4×D73—42no—
636C2×C4×D73—42no—
637C2×C4×D73—42no—
638C2×C4×D73—42no—
639C2×C4×D73—42no—
640C2×C4×D73C2414yes—
641C2×C4×D73C2414yes—
642C2×C4×D73C2414yes—
643C2×C4×D73C2414yes—
644C2×C4×D73C2414yes—
645C2×C4×D73C2414yes—
646C2×C4×D73C2414yes—
647C2×C4×D73C2414yes—
648C2×C4×D73C2414yes—
649C2×C4×D73C2414yes—
650C2×C4×D73C2414yes—
651C4⋊Dic73C2414yes—
652C4⋊Dic73C2414yes—
653C4⋊Dic73C2414yes—
654C4⋊Dic73C2414yes—
655C4⋊Dic73C2414yes—
656C4⋊Dic73C2414yes—
657C4⋊Dic73C2414yes—
658C4⋊Dic73C2414yes—
659C4⋊Dic73C2414yes—
660C4⋊Dic73C2414yes—
661C4⋊Dic73C2414yes—
662C4⋊Dic73C2414yes—
663#11924007C2414yes—
664#11924007C2414yes—
665#11924007C2414yes—
666#11924007C2414yes—
667#11924007C2414yes—
668#11924007C2414yes—
669#11924007C2414yes—
670#11924007C2414yes—
671#11924007C2414yes—
672#11924007C2414yes—
673#11924007C2414yes—
674#11924007C2414yes—
675#11924007C2414yes—
676#11924007C2414yes—
677#11924007C2414yes—
678#11924007C2414yes—
679#11924007C2414yes—
680#11924007C2414yes—
681#11924007C2414yes—
682#11924007C2414yes—
683#11924007C2414yes—
684#11924007C2414yes—
685#11924007C2414yes—
686#11924007C2414yes—
687#11924007C2414yes—
688#11924007C2414yes—
689C22⋊Dic73C2414yes—
690C22⋊Dic73C2414yes—
691C22⋊Dic73C2414yes—
692C22⋊Dic73C2414yes—
693C22⋊Dic73C2414yes—
694C22⋊Dic73C2414yes—
695C22⋊Dic73C2414yes—
696C22⋊Dic73C2414yes—
697C22⋊Dic73C2414yes—
698C22⋊Dic73C2414yes—
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—
713#11924005C2414yes—
714#11924005C2414yes—
715#11924005C2414yes—
716#11924005C2414yes—
717C4×Dic73C2414yes—
718C4×Dic73C2414yes—
719C4×Dic73C2414yes—
720C4×Dic73C2414yes—
721C4×Dic73C2414yes—
722C4×Dic73C2414yes—
723C4×Dic73C2414yes—
724C4×Dic73C2414yes—
725C4×Dic73C2414yes—
726C4×Dic73C2414yes—
727C4×Dic73C2414yes—
728C24×C73—24no—
729C24×C73—24no—
730C24×C73—42no—
731C24×C73C2411yescharacteristic
732C24×C73C2411yescharacteristic
733C24×C73C2414yes—
734C24×C73C2411yescharacteristic
735C24×C73C2411yescharacteristic
736C2×Q8×C73—42no—
737C2×Q8×C73C2414yes—
738C2×D4×C73—24no—
739C2×D4×C73—24no—
740C2×D4×C73—42no—
741C2×D4×C73C2414yes—
742C2×D4×C73C2414yes—
743C2×D4×C73C2414yes—
744C22×C4×C73—24no—
745C22×C4×C73—24no—
746C22×C4×C73—42no—
747C22×C4×C73—42no—
748C22×C4×C73—42no—
749C22×C4×C73C2411yescharacteristic
750C22×C4×C73C2411yescharacteristic
751C22×C4×C73C2411yescharacteristic
752C22×C4×C73C2411yescharacteristic
753C22×C4×C73C2411yescharacteristic
754C22×C4×C73C2411yescharacteristic
755C22×C4×C73C2411yescharacteristic
756C22×C4×C73C2411yescharacteristic
757C22×C4×C73C2411yescharacteristic
758C22×C4×C73C2411yescharacteristic
759C22×C4×C73C2411yescharacteristic
760C22×C4×C73C2414yes—
761C22×C4×C73C2414yes—
762C22×C4×C73C2414yes—
763C22×C4×C73C2414yes—
764C22×C4×C73C2414yes—
765C4⋊C4×C73C2414yes—
766C4⋊C4×C73C2414yes—
767C4⋊C4×C73C2414yes—
768C4⋊C4×C73C2414yes—
769C4⋊C4×C73C2414yes—
770C4⋊C4×C73C2414yes—
771C4⋊C4×C73C2414yes—
772C4⋊C4×C73C2414yes—
773C22⋊C4×C73C2414yes—
774C22⋊C4×C73C2414yes—
775C22⋊C4×C73C2414yes—
776C22⋊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—
787C42×C73C2414yes—
788C42×C73C2414yes—
789C42×C73C2414yes—
790C23×C73—22no—
791C23×C73—22no—
792C23×C73—22no—
793C23×C73—22no—
794C23×C73—22no—
795C23×C73—28no—
796C23×C73—22no—
797C23×C73—22no—
798C23×C73—22no—
799C23×C73—22no—
800C23×C73—28no—
801C23×C73—22no—
802C23×C73—44no—
803C23×C73—416no—
804C23×C73C2×#4114yes—
805C23×C732−1+414yes—
806C23×C73C2512yes—
807C23×C73C2512yes—
808C23×C73C2512yes—
809C23×C73C2512yes—
810C23×C73C2511yescharacteristic
811C22×D73—22no—
812C22×D73—22no—
813C22×D73—22no—
814C22×D73—22no—
815C22×D73—22no—
816C22×D73—22no—
817C22×D73—22no—
818C22×D73—28no—
819C22×D73—22no—
820C22×D73—28no—
821C22×D73—44no—
822C22×D73—416no—
823C22×D73C2×#4114yes—
824C22×D73C2512yes—
825C22×D73C2512yes—
826C22×D73C2512yes—
827Q8×C73—44no—
828D4×C73—28no—
829D4×C73—28no—
830D4×C73—44no—
831C2×C4×C73—22no—
832C2×C4×C73—22no—
833C2×C4×C73—28no—
834C2×C4×C73—22no—
835C2×C4×C73—22no—
836C2×C4×C73—22no—
837C2×C4×C73—22no—
838C2×C4×C73—22no—
839C2×C4×C73—22no—
840C2×C4×C73—28no—
841C2×C4×C73—22no—
842C2×C4×C73—22no—
843C2×C4×C73—22no—
844C2×C4×C73—44no—
845C2×C4×C73—44no—
846C2×C4×C73—44no—
847C2×C4×C73C2512yes—
848C2×C4×C73C2512yes—
849C2×C4×C73C2512yes—
850C2×C4×C73C2512yes—
851C2×C4×C73C2512yes—
852C2×C4×C73C2512yes—
853C2×C4×C73C2512yes—
854C2×C4×C73C2512yes—
855C2×C4×C73C2512yes—
856C2×C4×C73C2512yes—
857C2×C4×C73C2512yes—
858C22⋊D73—28no—
859C22⋊D73—28no—
860C22⋊D73—28no—
861C22⋊D73—28no—
862C22⋊D73—28no—
863C22⋊D73—28no—
864C22⋊D73—28no—
865C22⋊D73—44no—
866C22⋊D73—44no—
867C22⋊D73C2×#41116yescomplemented
868C2×Dic73—22no—
869C2×Dic73—22no—
870C2×Dic73—22no—
871C2×Dic73—22no—
872C2×Dic73—28no—
873C2×Dic73—22no—
874C2×Dic73—22no—
875C2×Dic73—22no—
876C2×Dic73—22no—
877C2×Dic73—22no—
878C2×Dic73—22no—
879C2×Dic73—22no—
880C2×Dic73—28no—
881C2×Dic73—28no—
882C2×Dic73—28no—
883C2×Dic73—28no—
884C2×Dic73—28no—
885C2×Dic73—44no—
886C2×Dic73—44no—
887C2×Dic73—44no—
888C2×Dic73—44no—
889C2×Dic73—44no—
890C2×Dic73C2×#4114yes—
891C2×Dic73H(5,𝔽2)14yes—
892C2×Dic73C2512yes—
893C2×Dic73C2512yes—
894C2×Dic73C2512yes—
895C2×Dic73C2512yes—
896C2×Dic73C2512yes—
897C2×Dic73C2512yes—
898C2×Dic73C2512yes—
899C2×Dic73C2512yes—
900C2×Dic73C2512yes—
901C2×Dic73C2512yes—
902C2×Dic73C2512yes—
903C2×Dic73C2512yes—
904C2×Dic73C2512yes—
905D292—28no—
906D292—44no—
907C4×D73—28no—
908C4×D73—28no—
909C4×D73—28no—
910C4×D73—28no—
911C4×D73—28no—
912C4×D73—44no—
913C4×D73—44no—
914C4×D73—44no—
915C4×D73—44no—
916C4×D73—44no—
917C4×D73—44no—
918Dic146—28no—
919Dic146—28no—
920Dic146—28no—
921Dic146—28no—
922Dic146—28no—
923Dic146—44no—
924Dic146—44no—
925Dic146—44no—
926C22×C73—22no—
927C22×C73—22no—
928C22×C73—22no—
929C22×C73—22no—
930C22×C73—28no—
931C22×C73—28no—
932C22×C73—22no—
933C22×C73—22no—
934C22×C73—22no—
935C22×C73—22no—
936C22×C73—22no—
937C22×C73—22no—
938C22×C73—416no—
939C22×C73—44no—
940C22×C73—44no—
941C22×C73C22×#4114yes—
942C22×C73C22×#4112yes—
943C22×C73C2×H(5,𝔽2)12yes—
944C22×C73C2×2−1+414yes—
945C22×C73C2×2−1+412yes—
946C22×C73C2611yescharacteristic
947C2×D73—22no—
948C2×D73—22no—
949C2×D73—28no—
950C2×D73—22no—
951C2×D73—22no—
952C2×D73—22no—
953C2×D73—22no—
954C2×D73—22no—
955C2×D73—22no—
956C2×D73—416no—
957C2×D73—44no—
958C2×D73—44no—
959C2×D73C22×#4114yes—
960C4×C73—22no—
961C4×C73—22no—
962C4×C73—22no—
963C4×C73—22no—
964C4×C73—22no—
965C4×C73—22no—
966C4×C73—22no—
967C4×C73—22no—
968C4×C73—22no—
969C4×C73—22no—
970C4×C73—22no—
971Dic73—22no—
972Dic73—22no—
973Dic73—22no—
974Dic73—22no—
975Dic73—22no—
976Dic73—22no—
977Dic73—22no—
978Dic73—22no—
979Dic73—22no—
980Dic73—22no—
981Dic73—22no—
982Dic73C22×#4114yes—
983Dic73C2×H(5,𝔽2)14yes—
984C2×#3520—731nomaximal, Sylow
985C2×C73—24no—
986C2×C73—24no—
987C2×C73—42no—
988C2×C73—42no—
989C2×C73#352014yescomplemented
990C2×C73C23×#4111yescharacteristic
991C2×C73C22×H(5,𝔽2)11yescharacteristic
992C2×C73C22×2−1+411yescharacteristic
993D73—24no—
994D73—42no—
995D73—42no—
996#3520—7332no—
997C2×#556—731no—
998C2×#554—731no—
999C2×#554—731no—
1000C2×#552—731no—
1001C2×#552—731no—
1002C2×#551—731no—
1003C2×#551—731no—
1004C2×#551—731no—
1005C2×#551D7311yescharacteristic, complemented
1006C2×D4×Q8—731no—
1007C2×#548—731no—
1008C2×#548—731no—
1009C2×#547—731no—
1010C2×#547—731no—
1011C2×#546—731no—
1012C2×#546—731no—
1013C2×#542—731no—
1014C2×#542—731no—
1015C2×#539—731no—
1016C2×#539—731no—
1017C2×#539—731no—
1018C2×#539—731no—
1019C2×#533—731no—
1020C2×#529—731no—
1021C2×#525—731no—
1022C2×#525—731no—
1023C22×C22⋊Q8—731no—
1024C22×C22⋊Q8—731no—
1025C2×#520—731no—
1026C2×#520—731no—
1027C22×C4×D4—731no—
1028C73C2×#352011yescharacteristic, complemented, Sylow
1029C22×#41—731no—
1030C22×#41—731no—
1031C22×#41—731no—
1032C22×#41—731no—
1033C23×Q8—731no—
1034C23×Q8—731no—
1035C23×D4—731no—
1036C24×C4—731no—
1037C24×C4—731no—
1038#556—7316no—
1039#554—7316no—
1040#554—7316no—
1041#552—7316no—
1042#552—7316no—
1043#551—7316no—
1044#551—7316no—
1045#551—7316no—
1046#551C2×D73116yescomplemented
1047D4×Q8—7316no—
1048#548—7316no—
1049#548—7316no—
1050#547—7316no—
1051#547—7316no—
1052#546—7316no—
1053#546—7316no—
1054#542—7316no—
1055#542—7316no—
1056#539—7316no—
1057#539—7316no—
1058#539—7316no—
1059#539—7316no—
1060#533—7316no—
1061C2×C4⋊Q8—731no—
1062C2×C4⋊Q8—731no—
1063C2×C4⋊Q8—731no—
1064C2×C4⋊Q8—731no—
1065#529—7316no—
1066C2×#126—731no—
1067C2×#126—731no—
1068C2×#126—731no—
1069C2×#126—731no—
1070C2×#126—731no—
1071C2×#126—731no—
1072C2×#126—731no—
1073C2×#126—731no—
1074C2×#126C2×D7311yescharacteristic, complemented
1075C2×#126C2×D7311yescharacteristic, complemented
1076C2×#125—731no—
1077C2×#125—731no—
1078C2×#125—731no—
1079C2×#125—731no—
1080C2×#125—731no—
1081C2×#125—731no—
1082C2×#125—731no—
1083C2×#124—731no—
1084C2×#124—731no—
1085C2×#124—731no—
1086C2×#124—731no—
1087C2×#124—731no—
1088C2×#124—731no—
1089C2×#124C2×D7311yescharacteristic, complemented
1090#525—7316no—
1091#525—7316no—
1092C2×#123—731no—
1093C2×#123—731no—
1094C2×#123—731no—
1095C2×#123—731no—
1096C2×#123—731no—
1097C2×#123—731no—
1098C2×#123—731no—
1099C2×#123—731no—
1100C2×#123—731no—
1101C2×#123—731no—
1102C2×#123—731no—
1103C2×#123—731no—
1104C2×#123—731no—
1105C2×#123—731no—
1106C2×#123—731no—
1107C2×#123C2×D7311yescharacteristic
1108C2×#123C2×D7311yescharacteristic, complemented
1109C2×#123C2×D7311yescharacteristic, complemented
1110C2×C22⋊Q8—731no—
1111C2×C22⋊Q8—731no—
1112C2×C22⋊Q8—731no—
1113C2×C22⋊Q8—731no—
1114C2×C22⋊Q8—7316no—
1115C2×C22⋊Q8—731no—
1116C2×C22⋊Q8—731no—
1117C2×C22⋊Q8—731no—
1118C2×C22⋊Q8—731no—
1119C2×C22⋊Q8—731no—
1120C2×C22⋊Q8—731no—
1121C2×C22⋊Q8—731no—
1122C2×C22⋊Q8—731no—
1123C2×C22⋊Q8—731no—
1124C2×C22⋊Q8—731no—
1125C2×C22⋊Q8—731no—
1126C2×C22⋊Q8—731no—
1127C2×C22⋊Q8—731no—
1128C2×C22⋊Q8—731no—
1129C2×C22⋊Q8—731no—
1130C2×C22⋊Q8—731no—
1131C2×C22⋊Q8—731no—
1132C2×C22⋊Q8—7316no—
1133C2×C22⋊Q8—731no—
1134C2×C22⋊Q8—731no—
1135C2×C22⋊Q8—731no—
1136C2×C22⋊Q8—731no—
1137C2×C22⋊Q8—731no—
1138C2×C22⋊Q8—731no—
1139C2×C22⋊Q8C2×D7311yescharacteristic
1140C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1141C2×#121—731no—
1142C2×#121—731no—
1143C2×#121—731no—
1144C2×#121—731no—
1145C2×#121—731no—
1146C2×#121—731no—
1147C2×#121—731no—
1148C2×#121—731no—
1149C2×#121—731no—
1150C2×#120—731no—
1151C2×#120—731no—
1152C2×#120—731no—
1153C2×#120C2×D7311yescharacteristic
1154#520—7316no—
1155#520—7316no—
1156C2×C4×Q8—731no—
1157C2×C4×Q8—731no—
1158C2×C4×Q8—731no—
1159C2×C4×Q8—731no—
1160C2×C4×Q8—731no—
1161C2×C4×Q8—731no—
1162C2×C4×Q8—731no—
1163C2×C4×D4—731no—
1164C2×C4×D4—731no—
1165C2×C4×D4—731no—
1166C2×C4×D4—731no—
1167C2×C4×D4—731no—
1168C2×C4×D4—731no—
1169C2×C4×D4—731no—
1170C2×C4×D4—731no—
1171C2×C4×D4—731no—
1172C2×C4×D4—731no—
1173C2×C4×D4—731no—
1174C2×C4×D4—731no—
1175C2×C4×D4—731no—
1176C2×C4×D4—731no—
1177C2×C4×D4—7316no—
1178C2×C4×D4—731no—
1179C2×C4×D4—731no—
1180C2×C4×D4—731no—
1181C2×C4×D4—731no—
1182C2×C4×D4—731no—
1183C2×C4×D4—731no—
1184C2×C4×D4—731no—
1185C2×C4×D4—731no—
1186C2×C4×D4—731no—
1187C2×C4×D4C2×D7311yescharacteristic
1188C2×C4×D4C2×D7311yescharacteristic, complemented
1189C2×#117—731no—
1190C2×#117—731no—
1191C2×#117—731no—
1192C2×#117—731no—
1193C2×#117—731no—
1194C2×#117—731no—
1195C2×#117—731no—
1196C2×#117—731no—
1197C2×#117C2×D7311yescharacteristic
1198C2×#117C2×D7311yescharacteristic, complemented
1199C22×C4⋊C4—731no—
1200C22×C4⋊C4—731no—
1201C22×C4⋊C4—731no—
1202C22×C4⋊C4—731no—
1203C22×C4⋊C4—731no—
1204C22×C4⋊C4—731no—
1205C22×C4⋊C4—731no—
1206C22×C4⋊C4—731no—
1207C22×C4⋊C4—731no—
1208C22×C22⋊C4—731no—
1209C22×C22⋊C4—731no—
1210C22×C22⋊C4—731no—
1211C22×C22⋊C4—731no—
1212C22×C22⋊C4C2×D7311yescharacteristic
1213C22×C22⋊C4C2×D7311yescharacteristic
1214C22×C42—731no—
1215C25—731no—
1216C25C22×D7311yescharacteristic
1217C2×#41—2924no—
1218C2×#41—2924no—
1219C2×#41—738no—
1220C2×#41—738no—
1221C2×#41—738no—
1222C2×#41—738no—
1223C2×#41—1468no—
1224C2×#41—1468no—
1225C22×Q8—2924no—
1226C22×Q8—2924no—
1227C22×Q8—738no—
1228C22×Q8—731no—
1229C22×Q8—731no—
1230C22×Q8—731no—
1231C22×Q8—738no—
1232C22×Q8—731no—
1233C22×Q8—731no—
1234C22×Q8—731no—
1235C22×Q8—731no—
1236C22×Q8—731no—
1237C22×Q8C22×D7311yescharacteristic
1238C22×D4—731no—
1239C22×D4—731no—
1240C22×D4—731no—
1241C22×D4—731no—
1242C22×D4—731no—
1243C22×D4—731no—
1244C22×D4—731no—
1245C22×D4—731no—
1246C22×D4—731no—
1247C22×D4—738no—
1248C22×D4—731no—
1249C22×D4—731no—
1250C22×D4—731no—
1251C22×D4—1468no—
1252C22×D4C22×D7311yescharacteristic
1253C22×D4C22×D7311yescharacteristic
1254C22×D4C22×D7311yescharacteristic
1255C23×C4—2924no—
1256C23×C4—2924no—
1257C23×C4—731no—
1258C23×C4—731no—
1259C23×C4—731no—
1260C23×C4—731no—
1261C23×C4—731no—
1262C23×C4—738no—
1263C23×C4—731no—
1264C23×C4—731no—
1265C23×C4—731no—
1266C23×C4—731no—
1267C23×C4—731no—
1268C23×C4—731no—
1269C23×C4—738no—
1270C23×C4—731no—
1271C23×C4—731no—
1272C23×C4—731no—
1273C23×C4—731no—
1274C23×C4—731no—
1275C23×C4—731no—
1276C23×C4—731no—
1277C23×C4—731no—
1278C23×C4—731no—
1279C23×C4—731no—
1280C23×C4—731no—
1281C23×C4C22×D7311yescharacteristic
1282C23×C4C22×D7311yescharacteristic
1283C23×C4C22×D7311yescharacteristic
1284C23×C4C22×D7311yescharacteristic
1285C23×C4C22×D7311yescharacteristic
1286C4⋊Q8—738no—
1287C4⋊Q8—738no—
1288C4⋊Q8—738no—
1289C4⋊Q8—738no—
1290#126—738no—
1291#126—738no—
1292#126—738no—
1293#126—738no—
1294#126—738no—
1295#126—738no—
1296#126—738no—
1297#126—738no—
1298#126C22×D7318yescomplemented
1299#126C22×D7318yescomplemented
1300#125—738no—
1301#125—738no—
1302#125—738no—
1303#125—738no—
1304#125—738no—
1305#125—738no—
1306#125—738no—
1307#124—738no—
1308#124—738no—
1309#124—738no—
1310#124—738no—
1311#124—738no—
1312#124—738no—
1313#124C22×D7318yescomplemented
1314#123—738no—
1315#123—738no—
1316#123—738no—
1317#123—738no—
1318#123—738no—
1319#123—738no—
1320#123—738no—
1321#123—738no—
1322#123—738no—
1323#123—738no—
1324#123—738no—
1325#123—738no—
1326#123—738no—
1327#123—738no—
1328#123—738no—
1329#123C22×D7318yes—
1330#123C22×D7318yescomplemented
1331#123C22×D7318yescomplemented
1332C22⋊Q8—738no—
1333C22⋊Q8—738no—
1334C22⋊Q8—738no—
1335C22⋊Q8—738no—
1336C22⋊Q8—738no—
1337C22⋊Q8—738no—
1338C22⋊Q8—738no—
1339C22⋊Q8—738no—
1340C22⋊Q8—738no—
1341C22⋊Q8—738no—
1342C22⋊Q8—738no—
1343C22⋊Q8—738no—
1344C22⋊Q8—738no—
1345C22⋊Q8—738no—
1346C22⋊Q8—738no—
1347C22⋊Q8—738no—
1348C22⋊Q8—738no—
1349C22⋊Q8—738no—
1350C22⋊Q8—738no—
1351C22⋊Q8—738no—
1352C22⋊Q8—738no—
1353C22⋊Q8—738no—
1354C22⋊Q8—738no—
1355C22⋊Q8—738no—
1356C22⋊Q8—738no—
1357C22⋊Q8—738no—
1358C22⋊Q8—738no—
1359C22⋊Q8C22×D7318yes—
1360C22⋊Q8C22×D7318yescomplemented
1361#121—738no—
1362#121—738no—
1363#121—738no—
1364#121—738no—
1365#121—738no—
1366#121—738no—
1367#121—738no—
1368#121—738no—
1369#121—738no—
1370#120—738no—
1371#120—738no—
1372#120—738no—
1373#120C22×D7318yes—
1374C4×Q8—738no—
1375C4×Q8—738no—
1376C4×Q8—738no—
1377C4×Q8—738no—
1378C4×Q8—738no—
1379C4×Q8—738no—
1380C4×Q8—738no—
1381C4×D4—738no—
1382C4×D4—738no—
1383C4×D4—738no—
1384C4×D4—738no—
1385C4×D4—738no—
1386C4×D4—738no—
1387C4×D4—738no—
1388C4×D4—738no—
1389C4×D4—738no—
1390C4×D4—738no—
1391C4×D4—738no—
1392C4×D4—738no—
1393C4×D4—738no—
1394C4×D4—738no—
1395C4×D4—738no—
1396C4×D4—738no—
1397C4×D4—738no—
1398C4×D4—738no—
1399C4×D4—738no—
1400C4×D4—738no—
1401C4×D4—738no—
1402C4×D4—738no—
1403C4×D4—738no—
1404C4×D4C22×D7318yes—
1405C4×D4C22×D7318yescomplemented
1406#117—738no—
1407#117—738no—
1408#117—738no—
1409#117—738no—
1410#117—738no—
1411#117—738no—
1412#117—738no—
1413#117—738no—
1414#117C22×D7318yes—
1415#117C22×D7318yescomplemented
1416C2×C4⋊C4—731no—
1417C2×C4⋊C4—731no—
1418C2×C4⋊C4—731no—
1419C2×C4⋊C4—731no—
1420C2×C4⋊C4—731no—
1421C2×C4⋊C4—731no—
1422C2×C4⋊C4—731no—
1423C2×C4⋊C4—731no—
1424C2×C4⋊C4—731no—
1425C2×C4⋊C4—731no—
1426C2×C4⋊C4—731no—
1427C2×C4⋊C4—731no—
1428C2×C4⋊C4—738no—
1429C2×C4⋊C4—731no—
1430C2×C4⋊C4—731no—
1431C2×C4⋊C4—731no—
1432C2×C4⋊C4—731no—
1433C2×C4⋊C4—731no—
1434C2×C4⋊C4—731no—
1435C2×C4⋊C4—731no—
1436C2×C4⋊C4—731no—
1437C2×C4⋊C4—731no—
1438C2×C4⋊C4—738no—
1439C2×C4⋊C4—738no—
1440C2×C4⋊C4—738no—
1441C2×C4⋊C4—731no—
1442C2×C4⋊C4—731no—
1443C2×C4⋊C4—731no—
1444C2×C4⋊C4—738no—
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—731no—
1456C2×C4⋊C4—731no—
1457C2×C4⋊C4—731no—
1458C2×C4⋊C4—731no—
1459C2×C4⋊C4—738no—
1460C2×C4⋊C4—738no—
1461C2×C4⋊C4—738no—
1462C2×C4⋊C4—738no—
1463C2×C4⋊C4C22×D7311yescharacteristic
1464C2×C4⋊C4C22×D7311yescharacteristic
1465C2×C4⋊C4C22×D7311yescharacteristic
1466C2×C4⋊C4C22×D7311yescharacteristic
1467C2×C4⋊C4C22×D7311yescharacteristic
1468C2×C4⋊C4C22×D7311yescharacteristic
1469C2×C4⋊C4C22×D7311yescharacteristic
1470C2×C4⋊C4C22×D7311yescharacteristic
1471C2×C22⋊C4—731no—
1472C2×C22⋊C4—731no—
1473C2×C22⋊C4—731no—
1474C2×C22⋊C4—731no—
1475C2×C22⋊C4—731no—
1476C2×C22⋊C4—738no—
1477C2×C22⋊C4—731no—
1478C2×C22⋊C4—731no—
1479C2×C22⋊C4—731no—
1480C2×C22⋊C4—731no—
1481C2×C22⋊C4—731no—
1482C2×C22⋊C4—731no—
1483C2×C22⋊C4—731no—
1484C2×C22⋊C4—731no—
1485C2×C22⋊C4—731no—
1486C2×C22⋊C4—738no—
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—731no—
1494C2×C22⋊C4—731no—
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—738no—
1502C2×C22⋊C4—738no—
1503C2×C22⋊C4C22×D7311yescharacteristic
1504C2×C22⋊C4C22×D7311yescharacteristic
1505C2×C22⋊C4C22×D7311yescharacteristic
1506C2×C22⋊C4C22×D7311yescharacteristic
1507C2×C22⋊C4C22×D7311yescharacteristic
1508C2×C22⋊C4C22×D7311yescharacteristic
1509C2×C22⋊C4C22×D7311yescharacteristic
1510C2×C22⋊C4C22×D7318yes—
1511C2×C22⋊C4C22×D7311yescharacteristic
1512C2×C22⋊C4C22×D7311yescharacteristic
1513C2×C22⋊C4C22×D7318yes—
1514C2×C22⋊C4C22×D7311yescharacteristic
1515C2×C22⋊C4C22×D7311yescharacteristic
1516C2×C22⋊C4C22×D7311yescharacteristic
1517C2×C22⋊C4C22×D7311yescharacteristic
1518C2×C22⋊C4C22×D7311yescharacteristic
1519C2×C42—731no—
1520C2×C42—731no—
1521C2×C42—731no—
1522C2×C42—731no—
1523C2×C42—731no—
1524C2×C42—731no—
1525C2×C42—731no—
1526C2×C42—731no—
1527C2×C42—731no—
1528C2×C42—731no—
1529C2×C42—731no—
1530C2×C42—738no—
1531C2×C42C22×D7311yescharacteristic
1532C2×C42C22×D7311yescharacteristic
1533C2×C42C22×D7311yescharacteristic
1534C24—24no—
1535C24—24no—
1536C24—42no—
1537C24—2922no—
1538C24—734no—
1539C24—731no—
1540C24—731no—
1541C24—731no—
1542C24—1464no—
1543C24—1464no—
1544C24C23×D7311yescharacteristic
1545C24C23×D7311yescharacteristic
1546C24C23×D7314yes—
1547C24C23×D7311yescharacteristic
1548C24C23×D7311yescharacteristic
1549#41—29216no—
1550#41—29216no—
1551#41—14632no—
1552#41—14632no—
1553C2×Q8—42no—
1554C2×Q8—2922no—
1555C2×Q8—2922no—
1556C2×Q8—2922no—
1557C2×Q8—29216no—
1558C2×Q8—29216no—
1559C2×Q8—734no—
1560C2×Q8—734no—
1561C2×Q8—734no—
1562C2×Q8—734no—
1563C2×Q8—734no—
1564C2×Q8—734no—
1565C2×Q8—734no—
1566C2×Q8—734no—
1567C2×Q8—1464no—
1568C2×Q8—1464no—
1569C2×Q8—1464no—
1570C2×Q8—1464no—
1571C2×Q8—1464no—
1572C2×Q8C23×D7314yes—
1573C2×D4—24no—
1574C2×D4—24no—
1575C2×D4—42no—
1576C2×D4—2922no—
1577C2×D4—2922no—
1578C2×D4—2922no—
1579C2×D4—734no—
1580C2×D4—734no—
1581C2×D4—738no—
1582C2×D4—734no—
1583C2×D4—734no—
1584C2×D4—734no—
1585C2×D4—734no—
1586C2×D4—734no—
1587C2×D4—734no—
1588C2×D4—734no—
1589C2×D4—734no—
1590C2×D4—734no—
1591C2×D4—734no—
1592C2×D4—1464no—
1593C2×D4—1464no—
1594C2×D4—1464no—
1595C2×D4—14632no—
1596C2×D4—1464no—
1597C2×D4—1464no—
1598C2×D4—1464no—
1599C2×D4—1464no—
1600C2×D4—1464no—
1601C2×D4C23×D7314yes—
1602C2×D4C23×D7314yes—
1603C2×D4C23×D7314yes—
1604C22×C4—24no—
1605C22×C4—24no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—2922no—
1610C22×C4—2922no—
1611C22×C4—2922no—
1612C22×C4—2922no—
1613C22×C4—2922no—
1614C22×C4—2922no—
1615C22×C4—29216no—
1616C22×C4—2922no—
1617C22×C4—2922no—
1618C22×C4—2922no—
1619C22×C4—2922no—
1620C22×C4—2922no—
1621C22×C4—29216no—
1622C22×C4—734no—
1623C22×C4—734no—
1624C22×C4—734no—
1625C22×C4—734no—
1626C22×C4—734no—
1627C22×C4—734no—
1628C22×C4—734no—
1629C22×C4—734no—
1630C22×C4—734no—
1631C22×C4—734no—
1632C22×C4—734no—
1633C22×C4—731no—
1634C22×C4—731no—
1635C22×C4—734no—
1636C22×C4—734no—
1637C22×C4—734no—
1638C22×C4—734no—
1639C22×C4—734no—
1640C22×C4—734no—
1641C22×C4—731no—
1642C22×C4—731no—
1643C22×C4—731no—
1644C22×C4—731no—
1645C22×C4—731no—
1646C22×C4—731no—
1647C22×C4—731no—
1648C22×C4—731no—
1649C22×C4—731no—
1650C22×C4—731no—
1651C22×C4—731no—
1652C22×C4—734no—
1653C22×C4—734no—
1654C22×C4—734no—
1655C22×C4—734no—
1656C22×C4—734no—
1657C22×C4—1464no—
1658C22×C4—1464no—
1659C22×C4—1464no—
1660C22×C4—1464no—
1661C22×C4—1464no—
1662C22×C4—1464no—
1663C22×C4—1464no—
1664C22×C4—1464no—
1665C22×C4—1464no—
1666C22×C4—1464no—
1667C22×C4—1464no—
1668C22×C4C23×D7314yes—
1669C22×C4C23×D7314yes—
1670C22×C4C23×D7311yescharacteristic
1671C22×C4C23×D7311yescharacteristic
1672C22×C4C23×D7311yescharacteristic
1673C22×C4C23×D7311yescharacteristic
1674C22×C4C23×D7311yescharacteristic
1675C22×C4C23×D7311yescharacteristic
1676C22×C4C23×D7311yescharacteristic
1677C22×C4C23×D7311yescharacteristic
1678C22×C4C23×D7311yescharacteristic
1679C22×C4C23×D7311yescharacteristic
1680C22×C4C23×D7311yescharacteristic
1681C22×C4C23×D7314yes—
1682C22×C4C23×D7314yes—
1683C22×C4C23×D7314yes—
1684C4⋊C4—734no—
1685C4⋊C4—734no—
1686C4⋊C4—734no—
1687C4⋊C4—734no—
1688C4⋊C4—734no—
1689C4⋊C4—734no—
1690C4⋊C4—734no—
1691C4⋊C4—734no—
1692C4⋊C4—734no—
1693C4⋊C4—734no—
1694C4⋊C4—734no—
1695C4⋊C4—734no—
1696C4⋊C4—734no—
1697C4⋊C4—734no—
1698C4⋊C4—734no—
1699C4⋊C4—734no—
1700C4⋊C4—734no—
1701C4⋊C4—734no—
1702C4⋊C4—734no—
1703C4⋊C4—734no—
1704C4⋊C4—734no—
1705C4⋊C4—734no—
1706C4⋊C4—734no—
1707C4⋊C4—734no—
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⋊C4C23×D7314yes—
1723C4⋊C4C23×D7314yes—
1724C4⋊C4C23×D7314yes—
1725C4⋊C4C23×D7314yes—
1726C4⋊C4C23×D7314yes—
1727C4⋊C4C23×D7314yes—
1728C4⋊C4C23×D7314yes—
1729C4⋊C4C23×D7314yes—
1730C22⋊C4—734no—
1731C22⋊C4—734no—
1732C22⋊C4—734no—
1733C22⋊C4—734no—
1734C22⋊C4—734no—
1735C22⋊C4—734no—
1736C22⋊C4—734no—
1737C22⋊C4—734no—
1738C22⋊C4—734no—
1739C22⋊C4—734no—
1740C22⋊C4—734no—
1741C22⋊C4—734no—
1742C22⋊C4—734no—
1743C22⋊C4—734no—
1744C22⋊C4—734no—
1745C22⋊C4—734no—
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⋊C4C23×D7314yes—
1759C22⋊C4C23×D7314yes—
1760C22⋊C4C23×D7314yes—
1761C22⋊C4C23×D7314yes—
1762C22⋊C4C23×D7314yes—
1763C22⋊C4C23×D7314yes—
1764C22⋊C4C23×D7314yes—
1765C22⋊C4C23×D7314yes—
1766C22⋊C4C23×D7314yes—
1767C22⋊C4C23×D7314yes—
1768C22⋊C4C23×D7314yes—
1769C22⋊C4C23×D7314yes—
1770C22⋊C4C23×D7314yes—
1771C22⋊C4C23×D7314yes—
1772C42—734no—
1773C42—734no—
1774C42—734no—
1775C42—734no—
1776C42—734no—
1777C42—734no—
1778C42—734no—
1779C42—734no—
1780C42—734no—
1781C42—734no—
1782C42—734no—
1783C42C23×D7314yes—
1784C42C23×D7314yes—
1785C42C23×D7314yes—
1786C23—22no—
1787C23—22no—
1788C23—22no—
1789C23—22no—
1790C23—22no—
1791C23—28no—
1792C23—22no—
1793C23—22no—
1794C23—22no—
1795C23—22no—
1796C23—28no—
1797C23—22no—
1798C23—44no—
1799C23—416no—
1800C23—29216no—
1801C23—2924no—
1802C23—734no—
1803C23—732no—
1804C23—732no—
1805C23—732no—
1806C23—1468no—
1807C23—1462no—
1808C23—1462no—
1809C23—1462no—
1810C23—1462no—
1811C23—1462no—
1812C23—1468no—
1813C23—1462no—
1814C23—1462no—
1815C23—1462no—
1816C23#41×D7314yes—
1817C23#1455663814yes—
1818C23C24×D7312yes—
1819C23C24×D7312yes—
1820C23C24×D7312yes—
1821C23C24×D7312yes—
1822C23C24×D7311yescharacteristic
1823Q8—44no—
1824Q8—2924no—
1825Q8—2924no—
1826Q8—2924no—
1827Q8—1468no—
1828Q8—1468no—
1829Q8—1468no—
1830Q8—1468no—
1831Q8—1468no—
1832D4—28no—
1833D4—28no—
1834D4—44no—
1835D4—2924no—
1836D4—2924no—
1837D4—2924no—
1838D4—7316no—
1839D4—1468no—
1840D4—1468no—
1841D4—1468no—
1842D4—1468no—
1843D4—1468no—
1844D4—1468no—
1845D4—1468no—
1846D4—1468no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—28no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—28no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—44no—
1861C2×C4—44no—
1862C2×C4—44no—
1863C2×C4—2924no—
1864C2×C4—2924no—
1865C2×C4—2924no—
1866C2×C4—2924no—
1867C2×C4—2924no—
1868C2×C4—2924no—
1869C2×C4—2924no—
1870C2×C4—2924no—
1871C2×C4—2924no—
1872C2×C4—2924no—
1873C2×C4—2924no—
1874C2×C4—734no—
1875C2×C4—734no—
1876C2×C4—732no—
1877C2×C4—732no—
1878C2×C4—732no—
1879C2×C4—732no—
1880C2×C4—732no—
1881C2×C4—732no—
1882C2×C4—732no—
1883C2×C4—732no—
1884C2×C4—732no—
1885C2×C4—732no—
1886C2×C4—732no—
1887C2×C4—732no—
1888C2×C4—732no—
1889C2×C4—1468no—
1890C2×C4—1468no—
1891C2×C4—1468no—
1892C2×C4—1468no—
1893C2×C4—1468no—
1894C2×C4—1468no—
1895C2×C4—1468no—
1896C2×C4—1468no—
1897C2×C4—1468no—
1898C2×C4—1468no—
1899C2×C4—1462no—
1900C2×C4—1462no—
1901C2×C4—1462no—
1902C2×C4—1462no—
1903C2×C4—1468no—
1904C2×C4—1462no—
1905C2×C4—1462no—
1906C2×C4—1462no—
1907C2×C4—1462no—
1908C2×C4—1462no—
1909C2×C4—1462no—
1910C2×C4—1462no—
1911C2×C4C24×D7312yes—
1912C2×C4C24×D7312yes—
1913C2×C4C24×D7312yes—
1914C2×C4C24×D7312yes—
1915C2×C4C24×D7312yes—
1916C2×C4C24×D7312yes—
1917C2×C4C24×D7312yes—
1918C2×C4C24×D7312yes—
1919C2×C4C24×D7312yes—
1920C2×C4C24×D7312yes—
1921C2×C4C24×D7312yes—
1922C22—22no—
1923C22—22no—
1924C22—22no—
1925C22—22no—
1926C22—28no—
1927C22—28no—
1928C22—22no—
1929C22—22no—
1930C22—22no—
1931C22—22no—
1932C22—22no—
1933C22—22no—
1934C22—416no—
1935C22—44no—
1936C22—44no—
1937C22—29216no—
1938C22—2924no—
1939C22—2924no—
1940C22—734no—
1941C22—1462no—
1942C22—1462no—
1943C22—1462no—
1944C22—1462no—
1945C22—1462no—
1946C22—1462no—
1947C22—1462no—
1948C22—1462no—
1949C22—1468no—
1950C22C2×#41×D7314yes—
1951C22C2×#41×D7312yes—
1952C22H(5,𝔽2)×D7312yes—
1953C22C2×#1455663814yes—
1954C22C2×#1455663812yes—
1955C22C25×D7311yescharacteristic
1956C4—22no—
1957C4—22no—
1958C4—22no—
1959C4—22no—
1960C4—22no—
1961C4—22no—
1962C4—22no—
1963C4—22no—
1964C4—22no—
1965C4—22no—
1966C4—22no—
1967C4—734no—
1968C4—734no—
1969C4—1462no—
1970C4—1462no—
1971C4—1462no—
1972C4—1462no—
1973C4—1462no—
1974C4—1462no—
1975C4—1462no—
1976C4—1462no—
1977C4—1462no—
1978C4—1462no—
1979C4—1462no—
1980C2—24no—
1981C2—24no—
1982C2—42no—
1983C2—42no—
1984C2—2922no—
1985C2—2922no—
1986C2—1464no—
1987C2#2262396914yesdirect product factor
1988C2C22×#41×D7311yescharacteristic
1989C2C2×H(5,𝔽2)×D7311yescharacteristic
1990C2C22×#1455663811yescharacteristic
subgroupG/H
centerC23C24×D73
commutator, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC2×#551×C73C2
socleC23×C73C25
hypercenterC2×#551D73
hypocenterC73C2×#3520
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#551

Complements

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

NH ≅ G/Ntype
1. #22623969C2direct (N × H)
2. C2×#17989304C2semidirect
3. C2×#17989296C2semidirect
4. C2×#17989291C2semidirect
5. C2×#17989273C2semidirect
6. C2×#17989270C2semidirect
7. C2×#17989263C2semidirect
8. C2×#17989261C2semidirect
9. C2×#17989260C2semidirect
10. C2×#17989250C2semidirect
11. C2×#17989246C2semidirect
12. C2×#17989245C2semidirect
13. C2×#17989235C2semidirect
14. C2×#17989235C2semidirect
15. C2×#17989227C2semidirect
16. C2×#17989224C2semidirect
17. C2×#17989203C2semidirect
18. C2×#17989201C2semidirect
19. C2×#17989186C2semidirect
20. C2×#17989181C2semidirect
21. C2×#17989180C2semidirect
22. C2×#17989178C2semidirect
23. C2×#17989140C2semidirect
24. C2×#17989114C2semidirect
25. C2×#17989096C2semidirect
26. C2×#17989093C2semidirect
27. C22×#14556568C2semidirect
28. C2×C22⋊Q8×D73C2semidirect
29. C2×#17989067C2semidirect
30. C2×#17989066C2semidirect
31. C22×#14556551C2semidirect
32. C2×#551×C73C2semidirect
34. C22×#11924028C22semidirect
36. C22×#11924027C22semidirect
37. C23×Dic146C22semidirect
38. C22×Q8×D73C22semidirect
42. #17989304C22semidirect
43. #17989296C22semidirect
44. #17989291C22semidirect
45. #17989273C22semidirect
46. #17989270C22semidirect
47. #17989263C22semidirect
48. #17989261C22semidirect
49. #17989260C22semidirect
50. #17989250C22semidirect
51. #17989246C22semidirect
52. #17989245C22semidirect
53. #17989235C22semidirect
54. #17989235C22semidirect
55. #17989227C22semidirect
56. #17989224C22semidirect
57. #17989203C22semidirect
58. #17989201C22semidirect
59. #17989186C22semidirect
60. #17989181C22semidirect
61. #17989180C22semidirect
62. #17989178C22semidirect
63. #17989140C22semidirect
64. C2×#14556590C22semidirect
65. C2×#14556590C22semidirect
66. C2×#14556590C22semidirect
67. C2×#14556589C22semidirect
68. #17989114C22semidirect
69. C2×#14556586C22semidirect
70. C2×#14556586C22semidirect
71. C2×#14556586C22semidirect
72. C2×#14556586C22semidirect
73. C2×#14556585C22semidirect
74. C2×#14556584C22semidirect
75. C2×#14556584C22semidirect
76. C2×#14556584C22semidirect
77. C2×#14556583C22semidirect
78. C2×#14556582C22semidirect
79. C2×#14556582C22semidirect
80. C2×#14556582C22semidirect
81. C2×#14556581C22semidirect
82. C2×#14556581C22semidirect
83. C2×#14556581C22semidirect
84. C2×#14556579C22semidirect
87. C2×#14556577C22semidirect
88. C2×#14556577C22semidirect
89. C2×#14556577C22semidirect
90. #17989096C22semidirect
91. #17989093C22semidirect
92. C2×#14556576C22semidirect
93. C2×#14556576C22semidirect
94. C2×#14556576C22semidirect
96. C2×#14556575C22semidirect
97. C2×#14556575C22semidirect
98. C2×#14556575C22semidirect
103. C2×#14556573C22semidirect
104. C2×#14556573C22semidirect
105. C2×#14556573C22semidirect
106. C2×#14556572C22semidirect
107. C2×#14556571C22semidirect
108. C2×#14556571C22semidirect
110. C2×#14556570C22semidirect
111. C2×#14556569C22semidirect
112. C2×#14556569C22semidirect
113. C2×#14556569C22semidirect
114. C2×#14556569C22semidirect
115. C2×#14556569C22semidirect
116. C2×#14556569C22semidirect
124. C2×#14556568C22semidirect
125. C2×#14556568C22semidirect
126. C2×#14556568C22semidirect
127. C2×#14556568C22semidirect
128. C2×#14556568C22semidirect
129. C2×#14556568C22semidirect
130. C2×#14556568C22semidirect
131. C2×#14556568C22semidirect
132. C2×#14556568C22semidirect
133. C2×#14556567C22semidirect
134. C2×#14556567C22semidirect
135. C22⋊Q8×D73C22semidirect
139. C2×#14556564C22semidirect
143. C2×#14556563C22semidirect
148. #17989067C22semidirect
149. #17989066C22semidirect
150. C2×C4×Dic146C22semidirect
151. C2×C4×Dic146C22semidirect
152. C2×C4×Dic146C22semidirect
153. C2×C4×Dic146C22semidirect
154. C2×C4×Dic146C22semidirect
155. C2×#14556556C22semidirect
156. C2×#14556556C22semidirect
157. C2×C4×D292C22semidirect
158. C2×C4×D292C22semidirect
161. C2×D4×Dic73C22semidirect
164. C2×C4×C22⋊D73C22semidirect
176. C2×#14556551C22semidirect
177. C2×#14556551C22semidirect
178. C2×#14556551C22semidirect
179. C2×#14556551C22semidirect
180. C2×#14556551C22semidirect
182. C2×#14556549C22semidirect
183. C2×#14556549C22semidirect
184. C2×#14556548C22semidirect
185. C2×#14556548C22semidirect
186. C2×#14556547C22semidirect
187. C2×#14556547C22semidirect
188. C2×#14556547C22semidirect
189. C22×C4⋊Dic73C22semidirect
191. C22×#11924007C22semidirect
192. C22×#11924007C22semidirect
193. C22×#11924007C22semidirect
194. C2×C4⋊C4×D73C22semidirect
195. C2×C4⋊C4×D73C22semidirect
196. C2×C4⋊C4×D73C22semidirect
197. C2×C4⋊C4×D73C22semidirect
203. #551×C73C22semidirect
204. C2×#126×C73C22semidirect
205. C2×#126×C73C22semidirect
206. C2×#124×C73C22semidirect
208. C2×#123×C73C22semidirect
209. C2×#123×C73C22semidirect
211. C2×C22⋊Q8×C73C22semidirect
214. C2×C4×D4×C73C22semidirect
216. C2×#117×C73C22semidirect
223. C2×#11924028C23semidirect
227. C2×#11924027C23semidirect
237. C22×Dic146C23semidirect
239. C2×Q8×D73C23semidirect
280. #14556590C23semidirect
281. #14556590C23semidirect
282. #14556590C23semidirect
283. #14556589C23semidirect
284. #14556586C23semidirect
285. #14556586C23semidirect
286. #14556586C23semidirect
287. #14556586C23semidirect
288. #14556585C23semidirect
289. #14556584C23semidirect
290. #14556584C23semidirect
291. #14556584C23semidirect
292. #14556583C23semidirect
293. #14556582C23semidirect
294. #14556582C23semidirect
295. #14556582C23semidirect
296. #14556581C23semidirect
297. #14556581C23semidirect
298. #14556581C23semidirect
299. #14556579C23semidirect
302. #14556577C23semidirect
303. #14556577C23semidirect
304. #14556577C23semidirect
305. #14556576C23semidirect
306. #14556576C23semidirect
307. #14556576C23semidirect
309. #14556575C23semidirect
310. #14556575C23semidirect
311. #14556575C23semidirect
316. #14556573C23semidirect
317. #14556573C23semidirect
318. #14556573C23semidirect
319. #14556572C23semidirect
320. #14556571C23semidirect
321. #14556571C23semidirect
323. #14556570C23semidirect
324. #14556569C23semidirect
325. #14556569C23semidirect
326. #14556569C23semidirect
327. #14556569C23semidirect
328. #14556569C23semidirect
329. #14556569C23semidirect
337. #14556568C23semidirect
338. #14556568C23semidirect
339. #14556568C23semidirect
340. #14556568C23semidirect
341. #14556568C23semidirect
342. #14556568C23semidirect
343. #14556568C23semidirect
344. #14556568C23semidirect
345. #14556567C23semidirect
346. #14556567C23semidirect
350. #14556564C23semidirect
354. #14556563C23semidirect
359. C4×Dic146C23semidirect
360. C4×Dic146C23semidirect
361. C4×Dic146C23semidirect
362. C4×Dic146C23semidirect
363. C4×Dic146C23semidirect
364. #14556556C23semidirect
365. #14556556C23semidirect
366. C4×D292C23semidirect
367. C4×D292C23semidirect
370. D4×Dic73C23semidirect
373. C4×C22⋊D73C23semidirect
385. #14556551C23semidirect
386. #14556551C23semidirect
387. #14556551C23semidirect
388. #14556551C23semidirect
390. #14556549C23semidirect
391. #14556549C23semidirect
392. #14556548C23semidirect
393. #14556548C23semidirect
394. #14556547C23semidirect
395. #14556547C23semidirect
396. #14556547C23semidirect
409. C2×C4⋊Dic73C23semidirect
437. C2×#11924007C23semidirect
438. C2×#11924007C23semidirect
439. C2×#11924007C23semidirect
440. C4⋊C4×D73C23semidirect
441. C4⋊C4×D73C23semidirect
442. C4⋊C4×D73C23semidirect
443. C4⋊C4×D73C23semidirect
498. #126×C73C23semidirect
499. #126×C73C23semidirect
500. #124×C73C23semidirect
502. #123×C73C23semidirect
503. #123×C73C23semidirect
505. C22⋊Q8×C73C23semidirect
508. C4×D4×C73C23semidirect
510. #117×C73C23semidirect
581. C2×C22⋊D73#41semidirect
867. C22⋊D73C2×#41semidirect
989. C2×C73#3520semidirect
1005. C2×#551D73semidirect
1028. C73C2×#3520semidirect
1046. #551C2×D73semidirect
1074. C2×#126C2×D73semidirect
1075. C2×#126C2×D73semidirect
1089. C2×#124C2×D73semidirect
1108. C2×#123C2×D73semidirect
1109. C2×#123C2×D73semidirect
1140. C2×C22⋊Q8C2×D73semidirect
1188. C2×C4×D4C2×D73semidirect
1198. C2×#117C2×D73semidirect
1298. #126C22×D73semidirect
1299. #126C22×D73semidirect
1313. #124C22×D73semidirect
1330. #123C22×D73semidirect
1331. #123C22×D73semidirect
1360. C22⋊Q8C22×D73semidirect
1405. C4×D4C22×D73semidirect
1415. #117C22×D73semidirect
1987. C2#22623969direct (N × H)

Maximal subgroups

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

subgroupindex
#226239692
C2×#179893042
C2×#179892962
C2×#179892912
C2×#179892732
C2×#179892702
C2×#179892632
C2×#179892612
C2×#179892602
C2×#179892502
C2×#179892462
C2×#179892452
C2×#179892352
C2×#179892272
C2×#179892242
C2×#179892032
C2×#179892012
C2×#179891862
C2×#179891812
C2×#179891802
C2×#179891782
C2×#179891402
C2×#179891142
C2×#179890962
C2×#179890932
C22×#145565682
C2×C22⋊Q8×D732
C2×#179890672
C2×#179890662
C22×#145565512
C2×#551×C732
C2×#352073