Finite Group Databasebeta

← #33258608

Subgroups — #33258608

Order 18688.

4082 conjugacy classes of subgroups.

The subgroup lattice has 2004 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989173C211yesmaximal, characteristic, complemented
2C22×C22⋊C4×D73C211yesmaximal, characteristic, complemented
3#22618219C211yesmaximal, characteristic, complemented
4#22618212C211yesmaximal, characteristic, complemented
5#22618209C211yesmaximal, characteristic, complemented
6#22618207C211yesmaximal, characteristic, complemented
7#22615737C211yesmaximal, characteristic, complemented
8#22615705C211yesmaximal, characteristic, complemented
9#22615703C211yesmaximal, characteristic, complemented
10#22615670C211yesmaximal, characteristic, complemented
11#22614183C211yesmaximal, characteristic, complemented
12#22614179C211yesmaximal, characteristic, complemented
13#22614174C211yesmaximal, characteristic, complemented
14#22614170C211yesmaximal, characteristic, complemented
15#22614062C211yesmaximal, characteristic, complemented
16#22614058C211yesmaximal, characteristic, complemented
17#22614055C211yesmaximal, characteristic, complemented
18#22614051C211yesmaximal, characteristic, complemented
19#22613466C211yesmaximal, characteristic, complemented
20#22613463C211yesmaximal, characteristic, complemented
21#22613461C211yesmaximal, characteristic, complemented
22#22613460C211yesmaximal, characteristic, complemented
23#22613399C211yesmaximal, characteristic, complemented
24#22613396C211yesmaximal, characteristic, complemented
25#22613390C211yesmaximal, characteristic, complemented
26#22612587C211yesmaximal, characteristic, complemented
27#22612584C211yesmaximal, characteristic, complemented
28#22612525C211yesmaximal, characteristic, complemented
29#22612432C211yesmaximal, characteristic, complemented
30C4×#14556559C211yesmaximal, characteristic, complemented
31C73×#2418C211yesmaximal, characteristic, complemented
32C25×D73C2211yescharacteristic
33C23×C4×D73C2211yescharacteristic
34C23×C4×D73C2211yescharacteristic
35#17989173—28no—
36C2×#14556586C2211yescharacteristic, complemented
37C2×#14556584C2211yescharacteristic, complemented
38C2×#14556577C2211yescharacteristic, complemented
39C2×#14556577C2211yescharacteristic, complemented
40C2×#14556576C2211yescharacteristic, complemented
41C2×#14556571C2211yescharacteristic, complemented
42C2×#14556571C2211yescharacteristic, complemented
43C2×#14556570C2211yescharacteristic, complemented
44C2×#14556565C2211yescharacteristic, complemented
45C2×#14556564C2211yescharacteristic, complemented
46C2×#14556564C2211yescharacteristic, complemented
47C2×#14556563C2211yescharacteristic, complemented
48C2×#14556562C2211yescharacteristic, complemented
49C2×#14556561C2211yescharacteristic
50C2×#14556561C2211yescharacteristic
51C2×#14556561C2211yescharacteristic
52C2×#14556561C2211yescharacteristic
53C2×#14556561C2211yescharacteristic
54C2×#14556561C2211yescharacteristic
55C2×#14556560C2211yescharacteristic
56C2×#14556559C2211yescharacteristic
57C2×#14556559C2211yescharacteristic
58C2×#14556559C2211yescharacteristic
59C2×#14556559C2211yescharacteristic
60C2×#14556559C2211yescharacteristic
61C2×#14556559C2211yescharacteristic
62C2×#14556553C2211yescharacteristic, complemented
63C2×#14556553C2211yescharacteristic, complemented
64C2×C4×C22⋊D73C2211yescharacteristic, complemented
65C2×C4×C22⋊D73C2211yescharacteristic, complemented
66C2×#14556551C2211yescharacteristic, complemented
67C22×C22⋊Dic73C2211yescharacteristic
68C22×#11924005C2211yescharacteristic
69C22×#11924005C2211yescharacteristic
70C2×C22⋊C4×D73—28no—
71C2×C22⋊C4×D73C2211yescharacteristic
72C2×C22⋊C4×D73C2211yescharacteristic
73C2×C22⋊C4×D73C2211yescharacteristic
74C2×C22⋊C4×D73C2211yescharacteristic
75C2×C22⋊C4×D73C2211yescharacteristic
76C2×C22⋊C4×D73C2211yescharacteristic
77C2×C22⋊C4×D73C2211yescharacteristic
78C2×C22⋊C4×D73C2211yescharacteristic
79#17988522C2211yescharacteristic, complemented
80#17988516C2211yescharacteristic, complemented
81#17988516C2211yescharacteristic, complemented
82#17988516C2211yescharacteristic, complemented
83#17988515C2211yescharacteristic, complemented
84#17988515C2211yescharacteristic, complemented
85#17988515C2211yescharacteristic, complemented
86#17988514C2211yescharacteristic, complemented
87#17988513C2211yescharacteristic, complemented
88#17988512C2211yescharacteristic, complemented
89#17988510C2211yescharacteristic, complemented
90#17988510C2211yescharacteristic, complemented
91#17988509C2211yescharacteristic, complemented
92#17988509C2211yescharacteristic, complemented
93#17988505C2211yescharacteristic, complemented
94#17988504C2211yescharacteristic, complemented
95#17988504C2211yescharacteristic, complemented
96#17988503C2211yescharacteristic, complemented
97#17988503C2211yescharacteristic, complemented
98#17988503C2211yescharacteristic, complemented
99#17988503C2211yescharacteristic, complemented
100#17988502C2211yescharacteristic, complemented
101#17988502C2211yescharacteristic, complemented
102#17988501C2211yescharacteristic, complemented
103#17988500C2211yescharacteristic, complemented
104#17988499C2211yescharacteristic, complemented
105#17988496C2211yescharacteristic, complemented
106#17988495C2211yescharacteristic, complemented
107#17988490C2211yescharacteristic, complemented
108#17988489C2211yescharacteristic, complemented
109#17988487C2211yescharacteristic, complemented
110#17988487C2211yescharacteristic, complemented
111#17988481C2211yescharacteristic, complemented
112#17988480C2211yescharacteristic, complemented
113#17988480C2211yescharacteristic, complemented
114#17988479C2211yescharacteristic, complemented
115#17988479C2211yescharacteristic, complemented
116#17988478C2211yescharacteristic, complemented
117#17988477C2211yescharacteristic, complemented
118#17988477C2211yescharacteristic, complemented
119#17988476C2211yescharacteristic, complemented
120#17988476C2211yescharacteristic, complemented
121#17988476C2211yescharacteristic, complemented
122#17988475C2211yescharacteristic, complemented
123#17988475C2211yescharacteristic, complemented
124#17988475C2211yescharacteristic, complemented
125#17988467C2211yescharacteristic, complemented
126#17988466C2211yescharacteristic, complemented
127#17988466C2211yescharacteristic, complemented
128#17988466C2211yescharacteristic, complemented
129#17988465C2211yescharacteristic, complemented
130#17988465C2211yescharacteristic, complemented
131#17988465C2211yescharacteristic, complemented
132#17988465C2211yescharacteristic, complemented
133#17988465C2211yescharacteristic, complemented
134#17988463C2211yescharacteristic, complemented
135#17988463C2211yescharacteristic, complemented
136#17988463C2211yescharacteristic, complemented
137#17988463C2211yescharacteristic, complemented
138#17988463C2211yescharacteristic, complemented
139#17988462C2211yescharacteristic, complemented
140#17988462C2211yescharacteristic, complemented
141#17988461C2211yescharacteristic, complemented
142#17988461C2211yescharacteristic, complemented
143#17988461C2211yescharacteristic, complemented
144#17988461C2211yescharacteristic, complemented
145#17988459C2211yescharacteristic, complemented
146#17988458C2211yescharacteristic, complemented
147#17988458C2211yescharacteristic, complemented
148#17988458C2211yescharacteristic, complemented
149#17988458C2211yescharacteristic, complemented
150#17988446C2211yescharacteristic, complemented
151#17988446C2211yescharacteristic, complemented
152#17988445C2211yescharacteristic, complemented
153#17988444C2211yescharacteristic, complemented
154#17988444C2211yescharacteristic, complemented
155#17988443C2211yescharacteristic
156#17988442C2211yescharacteristic
157#17988442C2211yescharacteristic
158#17988442C2211yescharacteristic
159#17988442C2211yescharacteristic
160#17988442C2211yescharacteristic
161#17988442C2211yescharacteristic
162#17988442C2211yescharacteristic
163#17988442C2211yescharacteristic
164#17988442C2211yescharacteristic
165#17988442C2211yescharacteristic
166#17988442C2211yescharacteristic
167#17988442C2211yescharacteristic
168C22⋊C4×Dic73C2211yescharacteristic, complemented
169C4×#11924005C2211yescharacteristic, complemented
170C4×#11924005C2211yescharacteristic, complemented
171C4×C22⋊Dic73C2211yescharacteristic, complemented
172#17988434C2211yescharacteristic, complemented
173#17988434C2211yescharacteristic, complemented
174C2×#123×C73C2211yescharacteristic, complemented
175C2×#120×C73C2211yescharacteristic
176C2×C4×D4×C73C2211yescharacteristic, complemented
177C22×C22⋊C4×C73C2211yescharacteristic
178#399×C73C2211yescharacteristic, complemented
179#397×C73C2211yescharacteristic, complemented
180#394×C73C2211yescharacteristic, complemented
181#394×C73C2211yescharacteristic, complemented
182#388×C73C2211yescharacteristic, complemented
183#388×C73C2211yescharacteristic, complemented
184#386×C73C2211yescharacteristic, complemented
185#386×C73C2211yescharacteristic, complemented
186#385×C73C2211yescharacteristic, complemented
187#380×C73C2211yescharacteristic, complemented
188#379×C73C2211yescharacteristic
189C24×D73—24no—
190C24×D73—24no—
191C24×D73—24no—
192C24×D73—42no—
193C24×D73—42no—
194C24×D73—42no—
195C24×D73—42no—
196C24×D73C2311yescharacteristic
197C24×D73C2311yescharacteristic
198C24×D73C2311yescharacteristic
199C24×D73C2311yescharacteristic
200C24×D73C2311yescharacteristic
201C24×D73C2311yescharacteristic
202C22×Dic146C2311yescharacteristic, complemented
203C22×D292C2311yescharacteristic
204C22×D292C2311yescharacteristic
205C22×D292C2311yescharacteristic
206C22×D292C2311yescharacteristic
207C22×C22⋊D73C2311yescharacteristic
208C22×C22⋊D73C2311yescharacteristic
209C22×C22⋊D73C2311yescharacteristic
210C22×C22⋊D73C2311yescharacteristic
211C22×C22⋊D73C2311yescharacteristic
212C22×C22⋊D73C2311yescharacteristic
213C22×C22⋊D73C2311yescharacteristic
214C22×C22⋊D73C2311yescharacteristic, complemented
215C23×Dic73C2311yescharacteristic
216C23×Dic73C2311yescharacteristic
217C22×C4×D73—24no—
218C22×C4×D73—24no—
219C22×C4×D73—42no—
220C22×C4×D73—42no—
221C22×C4×D73—42no—
222C22×C4×D73—42no—
223C22×C4×D73C2311yescharacteristic
224C22×C4×D73C2311yescharacteristic
225C22×C4×D73C2311yescharacteristic
226C22×C4×D73C2311yescharacteristic
227C22×C4×D73C2311yescharacteristic
228C22×C4×D73C2311yescharacteristic
229C22×C4×D73C2311yescharacteristic
230C22×C4×D73C2311yescharacteristic
231C22×C4×D73C2311yescharacteristic, complemented
232#14556586—24no—
233#14556584—24no—
234#14556577—24no—
235#14556577—24no—
236#14556576—24no—
237#14556571—24no—
238#14556571—42no—
239#14556570—42no—
240#14556565—24no—
241#14556564—24no—
242#14556564—42no—
243#14556563—42no—
244#14556562—24no—
245#14556561—24no—
246#14556561—24no—
247#14556561—24no—
248#14556561—42no—
249#14556561—42no—
250#14556561—42no—
251#14556560—42no—
252#14556559—24no—
253#14556559—24no—
254#14556559—24no—
255#14556559—42no—
256#14556559—42no—
257#14556559—42no—
258#14556553—24no—
259#14556553—42no—
260C4×C22⋊D73—24no—
261C4×C22⋊D73—42no—
262#14556551—42no—
263C2×C4⋊Dic73C2311yescharacteristic, complemented
264C2×C4⋊Dic73C2311yescharacteristic, complemented
265C2×C4⋊Dic73C2311yescharacteristic, complemented
266C2×C4⋊Dic73C2311yescharacteristic, complemented
267C2×C4⋊Dic73C2311yescharacteristic, complemented
268C2×#11924007C2311yescharacteristic, complemented
269C2×#11924007C2311yescharacteristic, complemented
270C2×#11924007C2311yescharacteristic, complemented
271C2×#11924007C2311yescharacteristic, complemented
272C2×#11924007C2311yescharacteristic, complemented
273C2×#11924007C2311yescharacteristic, complemented
274C2×#11924007C2311yescharacteristic, complemented
275C2×#11924007C2311yescharacteristic, complemented
276C2×C22⋊Dic73—24no—
277C2×C22⋊Dic73C2311yescharacteristic
278C2×C22⋊Dic73C2311yescharacteristic
279C2×C22⋊Dic73C2311yescharacteristic
280C2×C22⋊Dic73C2311yescharacteristic
281C2×C22⋊Dic73C2311yescharacteristic
282C2×C22⋊Dic73C2311yescharacteristic
283C2×C22⋊Dic73C2311yescharacteristic
284C2×C22⋊Dic73C2311yescharacteristic
285C2×C22⋊Dic73C2311yescharacteristic
286C2×C22⋊Dic73C2311yescharacteristic
287C2×C22⋊Dic73C2311yescharacteristic
288C2×C22⋊Dic73C2311yescharacteristic
289C2×C22⋊Dic73C2311yescharacteristic
290C2×C22⋊Dic73C2311yescharacteristic, complemented
291C2×C22⋊Dic73C2311yescharacteristic, complemented
292C2×C22⋊Dic73C2311yescharacteristic, complemented
293C2×#11924005—24no—
294C2×#11924005—24no—
295C2×#11924005C2311yescharacteristic
296C2×#11924005C2311yescharacteristic
297C2×#11924005C2311yescharacteristic
298C2×#11924005C2311yescharacteristic
299C2×#11924005C2311yescharacteristic
300C2×#11924005C2311yescharacteristic
301C2×#11924005C2311yescharacteristic
302C2×#11924005C2311yescharacteristic
303C2×#11924005C2311yescharacteristic
304C2×#11924005C2311yescharacteristic
305C2×#11924005C2311yescharacteristic
306C2×#11924005C2311yescharacteristic
307C2×#11924005C2311yescharacteristic
308C2×#11924005C2311yescharacteristic
309C2×#11924005C2311yescharacteristic
310C2×#11924005C2311yescharacteristic
311C2×#11924005C2311yescharacteristic
312C2×#11924005C2311yescharacteristic
313C2×#11924005C2311yescharacteristic
314C2×#11924005C2311yescharacteristic
315C2×#11924005C2311yescharacteristic
316C2×#11924005C2311yescharacteristic
317C2×#11924005C2311yescharacteristic
318C2×#11924005C2311yescharacteristic
319C2×#11924005C2311yescharacteristic
320C2×#11924005C2311yescharacteristic
321C2×#11924005C2311yescharacteristic
322C2×#11924005C2311yescharacteristic
323C2×#11924005C2311yescharacteristic
324C2×#11924005C2311yescharacteristic
325C2×#11924005C2311yescharacteristic
326C2×#11924005C2311yescharacteristic
327C2×#11924005C2311yescharacteristic, complemented
328C2×#11924005C2311yescharacteristic, complemented
329C2×#11924005C2311yescharacteristic, complemented
330C2×#11924005C2311yescharacteristic, complemented
331C2×#11924005C2311yescharacteristic, complemented
332C2×#11924005C2311yescharacteristic, complemented
333C22⋊C4×D73—24no—
334C22⋊C4×D73—24no—
335C22⋊C4×D73—24no—
336C22⋊C4×D73—24no—
337C22⋊C4×D73—24no—
338C22⋊C4×D73—24no—
339C22⋊C4×D73—24no—
340C22⋊C4×D73D418yescomplemented
341C2×C4×Dic73C2311yescharacteristic, complemented
342C2×C4×Dic73C2311yescharacteristic, complemented
343C2×C4×Dic73C2311yescharacteristic, complemented
344C2×C4×Dic73C2311yescharacteristic, complemented
345C2×C4×Dic73C2311yescharacteristic, complemented
346#14556498C2311yescharacteristic, complemented
347#14556498C2311yescharacteristic, complemented
348#14556498C2311yescharacteristic, complemented
349#14556498C2311yescharacteristic, complemented
350#14556498C2311yescharacteristic, complemented
351#14556498C2311yescharacteristic, complemented
352#14556498C2311yescharacteristic, complemented
353#14556498C2311yescharacteristic, complemented
354#14556498C2311yescharacteristic, complemented
355#14556498C2311yescharacteristic, complemented
356#14556498C2311yescharacteristic, complemented
357#14556498C2311yescharacteristic, complemented
358#14556498C2311yescharacteristic, complemented
359#14556498C2311yescharacteristic, complemented
360#14556498C2311yescharacteristic, complemented
361#14556498C2311yescharacteristic, complemented
362#14556498C2311yescharacteristic, complemented
363#14556498C2311yescharacteristic, complemented
364C25×C73C2311yescharacteristic
365C22×D4×C73C2311yescharacteristic
366C22×D4×C73C2311yescharacteristic
367C22×D4×C73C2311yescharacteristic
368C23×C4×C73C2311yescharacteristic
369C23×C4×C73C2311yescharacteristic
370C23×C4×C73C2311yescharacteristic, complemented
371#123×C73—24no—
372#120×C73—42no—
373C4×D4×C73—42no—
374C2×C4⋊C4×C73C2311yescharacteristic, complemented
375C2×C4⋊C4×C73C2311yescharacteristic, complemented
376C2×C4⋊C4×C73C2311yescharacteristic, complemented
377C2×C4⋊C4×C73C2311yescharacteristic, complemented
378C2×C4⋊C4×C73C2311yescharacteristic, complemented
379C2×C22⋊C4×C73—24no—
380C2×C22⋊C4×C73C2311yescharacteristic
381C2×C22⋊C4×C73C2311yescharacteristic
382C2×C22⋊C4×C73C2311yescharacteristic
383C2×C22⋊C4×C73C2311yescharacteristic
384C2×C22⋊C4×C73C2311yescharacteristic
385C2×C22⋊C4×C73C2311yescharacteristic
386C2×C22⋊C4×C73C2311yescharacteristic
387C2×C22⋊C4×C73C2311yescharacteristic
388C2×C22⋊C4×C73C2311yescharacteristic
389C2×C22⋊C4×C73C2311yescharacteristic
390C2×C22⋊C4×C73C2311yescharacteristic
391C2×C22⋊C4×C73C2311yescharacteristic
392C2×C22⋊C4×C73C2311yescharacteristic
393C2×C22⋊C4×C73C2311yescharacteristic, complemented
394C2×C22⋊C4×C73C2311yescharacteristic, complemented
395C2×C22⋊C4×C73C2311yescharacteristic, complemented
396C2×C42×C73C2311yescharacteristic, complemented
397#95×C73C2311yescharacteristic, complemented
398#95×C73C2311yescharacteristic, complemented
399#95×C73C2311yescharacteristic, complemented
400#95×C73C2311yescharacteristic, complemented
401#95×C73C2311yescharacteristic, complemented
402#95×C73C2311yescharacteristic, complemented
403C23×D73—22no—
404C23×D73—22no—
405C23×D73—22no—
406C23×D73—22no—
407C23×D73—22no—
408C23×D73—22no—
409C23×D73—232no—
410C23×D73—22no—
411C23×D73—22no—
412C23×D73—22no—
413C23×D73—22no—
414C23×D73—22no—
415C23×D73—22no—
416C23×D73—22no—
417C23×D73—22no—
418C23×D73—22no—
419C23×D73—22no—
420C23×D73—22no—
421C23×D73—22no—
422C23×D73—22no—
423C23×D73—22no—
424C23×D73—22no—
425C23×D73—22no—
426C23×D73—22no—
427C23×D73—22no—
428C23×D73—22no—
429C23×D73—41no—
430C23×D73—41no—
431C23×D73—41no—
432C23×D73—41no—
433C23×D73—41no—
434C23×D73—41no—
435C23×D73—41no—
436C23×D73—41no—
437C23×D73—41no—
438C23×D73—41no—
439C23×D73—41no—
440C23×D73—41no—
441C23×D73—41no—
442C23×D73—41no—
443C23×D73—416no—
444C23×D73—416no—
445C23×D73—416no—
446C23×D73—416no—
447C23×D73—416no—
448C23×D73—416no—
449C23×D73C2×D414yes—
450C23×D73#4114yes—
451C23×D73#4114yes—
452C23×D73C2411yescharacteristic
453C23×D73C2411yescharacteristic
454C23×D73C2411yescharacteristic
455C23×D73C2411yescharacteristic
456C23×D73C2411yescharacteristic
457C2×Dic146—22no—
458C2×Dic146—41no—
459C2×Dic146—41no—
460C2×D292—22no—
461C2×D292—22no—
462C2×D292—22no—
463C2×D292—22no—
464C2×D292—22no—
465C2×D292—22no—
466C2×D292—22no—
467C2×D292—22no—
468C2×D292—41no—
469C2×D292—41no—
470C2×D292—41no—
471C2×D292—41no—
472C2×C22⋊D73—22no—
473C2×C22⋊D73—22no—
474C2×C22⋊D73—22no—
475C2×C22⋊D73—22no—
476C2×C22⋊D73—22no—
477C2×C22⋊D73—22no—
478C2×C22⋊D73—22no—
479C2×C22⋊D73—22no—
480C2×C22⋊D73—22no—
481C2×C22⋊D73—22no—
482C2×C22⋊D73—22no—
483C2×C22⋊D73—22no—
484C2×C22⋊D73—22no—
485C2×C22⋊D73—22no—
486C2×C22⋊D73—41no—
487C2×C22⋊D73—41no—
488C2×C22⋊D73—41no—
489C2×C22⋊D73—41no—
490C2×C22⋊D73—41no—
491C2×C22⋊D73—41no—
492C2×C22⋊D73—41no—
493C2×C22⋊D73—41no—
494C2×C22⋊D73—41no—
495C2×C22⋊D73—41no—
496C22×Dic73—22no—
497C22×Dic73—22no—
498C22×Dic73—22no—
499C22×Dic73—22no—
500C22×Dic73—41no—
501C22×Dic73—41no—
502C22×Dic73C2411yescharacteristic
503C22×Dic73C2411yescharacteristic
504C22×Dic73C2411yescharacteristic
505C22×Dic73C2411yescharacteristic
506C22×Dic73C2411yescharacteristic
507C22×Dic73C2411yescharacteristic
508C22×Dic73C2411yescharacteristic
509C22×Dic73C2411yescharacteristic
510C22×Dic73C2411yescharacteristic
511C22×Dic73C2411yescharacteristic
512C22×Dic73C2411yescharacteristic
513C2×C4×D73—22no—
514C2×C4×D73—22no—
515C2×C4×D73—22no—
516C2×C4×D73—22no—
517C2×C4×D73—22no—
518C2×C4×D73—22no—
519C2×C4×D73—22no—
520C2×C4×D73—22no—
521C2×C4×D73—22no—
522C2×C4×D73—22no—
523C2×C4×D73—22no—
524C2×C4×D73—41no—
525C2×C4×D73—41no—
526C2×C4×D73—41no—
527C2×C4×D73—41no—
528C2×C4×D73—41no—
529C2×C4×D73—41no—
530C2×C4×D73—41no—
531C2×C4×D73—41no—
532C2×C4×D73—41no—
533C2×C4×D73—41no—
534C2×C4×D73—41no—
535C2×C4×D73—41no—
536C2×C4×D73—416no—
537C2×C4×D73—416no—
538C2×C4×D73—41no—
539C2×C4×D73—41no—
540C2×C4×D73C2×D414yes—
541C2×C4×D73C2×D414yes—
542C4⋊Dic73—22no—
543C4⋊Dic73—22no—
544C4⋊Dic73—41no—
545C4⋊Dic73—41no—
546C4⋊Dic73—41no—
547#11924007—22no—
548#11924007—22no—
549#11924007—41no—
550#11924007—41no—
551#11924007—41no—
552#11924007—41no—
553#11924007—41no—
554#11924007—41no—
555C22⋊Dic73—22no—
556C22⋊Dic73—22no—
557C22⋊Dic73—22no—
558C22⋊Dic73—22no—
559C22⋊Dic73—22no—
560C22⋊Dic73—22no—
561C22⋊Dic73—22no—
562C22⋊Dic73—22no—
563C22⋊Dic73—22no—
564C22⋊Dic73—41no—
565C22⋊Dic73—41no—
566C22⋊Dic73—41no—
567C22⋊Dic73—41no—
568C22⋊Dic73—41no—
569C22⋊Dic73—41no—
570C22⋊Dic73C2×D414yes—
571#11924005—22no—
572#11924005—22no—
573#11924005—22no—
574#11924005—22no—
575#11924005—22no—
576#11924005—22no—
577#11924005—22no—
578#11924005—22no—
579#11924005—22no—
580#11924005—22no—
581#11924005—22no—
582#11924005—22no—
583#11924005—22no—
584#11924005—22no—
585#11924005—22no—
586#11924005—22no—
587#11924005—22no—
588#11924005—22no—
589#11924005—22no—
590#11924005—22no—
591#11924005—22no—
592#11924005—22no—
593#11924005—22no—
594#11924005—22no—
595#11924005—41no—
596#11924005—41no—
597#11924005—41no—
598#11924005—41no—
599#11924005—41no—
600#11924005—41no—
601#11924005—41no—
602#11924005—41no—
603#11924005—41no—
604#11924005—41no—
605#11924005—41no—
606#11924005—41no—
607#11924005C2×D414yes—
608#11924005C2×D414yes—
609C4×Dic73—22no—
610C4×Dic73—22no—
611C4×Dic73—41no—
612C4×Dic73—41no—
613C4×Dic73—41no—
614C24×C73—22no—
615C24×C73—22no—
616C24×C73—22no—
617C24×C73—22no—
618C24×C73—22no—
619C24×C73—41no—
620C24×C73—41no—
621C24×C73C2411yescharacteristic
622C24×C73C2411yescharacteristic
623C24×C73C2411yescharacteristic
624C24×C73C2411yescharacteristic
625C2×D4×C73—22no—
626C2×D4×C73—22no—
627C2×D4×C73—22no—
628C2×D4×C73—22no—
629C2×D4×C73—22no—
630C2×D4×C73—41no—
631C2×D4×C73—41no—
632C2×D4×C73—41no—
633C2×D4×C73—41no—
634C22×C4×C73—22no—
635C22×C4×C73—22no—
636C22×C4×C73—22no—
637C22×C4×C73—22no—
638C22×C4×C73—22no—
639C22×C4×C73—41no—
640C22×C4×C73—41no—
641C22×C4×C73—41no—
642C22×C4×C73—41no—
643C22×C4×C73C2411yescharacteristic
644C22×C4×C73C2411yescharacteristic
645C22×C4×C73C2411yescharacteristic
646C22×C4×C73C2411yescharacteristic
647C22×C4×C73C2411yescharacteristic
648C22×C4×C73C2411yescharacteristic
649C22×C4×C73C2411yescharacteristic
650C22×C4×C73C2411yescharacteristic
651C22×C4×C73C2411yescharacteristic
652C22×C4×C73C2411yescharacteristic
653C22×C4×C73C2411yescharacteristic
654C4⋊C4×C73—22no—
655C4⋊C4×C73—22no—
656C4⋊C4×C73—41no—
657C4⋊C4×C73—41no—
658C4⋊C4×C73—41no—
659C22⋊C4×C73—22no—
660C22⋊C4×C73—22no—
661C22⋊C4×C73—22no—
662C22⋊C4×C73—22no—
663C22⋊C4×C73—22no—
664C22⋊C4×C73—22no—
665C22⋊C4×C73—22no—
666C22⋊C4×C73—22no—
667C22⋊C4×C73—22no—
668C22⋊C4×C73—41no—
669C22⋊C4×C73—41no—
670C22⋊C4×C73—41no—
671C22⋊C4×C73—41no—
672C22⋊C4×C73—41no—
673C22⋊C4×C73—41no—
674C22⋊C4×C73C2×D414yes—
675C42×C73—41no—
676C23×C73—21no—
677C23×C73—21no—
678C23×C73—21no—
679C23×C73—21no—
680C23×C73—28no—
681C23×C73—21no—
682C23×C73—21no—
683C23×C73—21no—
684C23×C73—21no—
685C23×C73—21no—
686C23×C73—21no—
687C23×C73—21no—
688C23×C73—21no—
689C23×C73—21no—
690C23×C73—21no—
691C23×C73—21no—
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—21no—
695C23×C73—21no—
696C23×C73—21no—
697C23×C73—21no—
698C23×C73—21no—
699C23×C73—21no—
700C23×C73—44no—
701C23×C73—44no—
702C23×C73—44no—
703C23×C73—44no—
704C23×C73—44no—
705C23×C73—44no—
706C23×C73C22×D412yes—
707C23×C73C2×#4112yes—
708C23×C73C2×#4112yes—
709C23×C73H(5,𝔽2)12yes—
710C23×C73H(5,𝔽2)12yes—
711C23×C73C2511yescharacteristic
712C22×D73—28no—
713C22×D73—28no—
714C22×D73—28no—
715C22×D73—28no—
716C22×D73—28no—
717C22×D73—21no—
718C22×D73—21no—
719C22×D73—21no—
720C22×D73—21no—
721C22×D73—21no—
722C22×D73—21no—
723C22×D73—21no—
724C22×D73—21no—
725C22×D73—28no—
726C22×D73—28no—
727C22×D73—28no—
728C22×D73—28no—
729C22×D73—28no—
730C22×D73—21no—
731C22×D73—21no—
732C22×D73—21no—
733C22×D73—21no—
734C22×D73—21no—
735C22×D73—21no—
736C22×D73—21no—
737C22×D73—21no—
738C22×D73—21no—
739C22×D73—21no—
740C22×D73—21no—
741C22×D73—21no—
742C22×D73—28no—
743C22×D73—28no—
744C22×D73—21no—
745C22×D73—21no—
746C22×D73—21no—
747C22×D73—21no—
748C22×D73—21no—
749C22×D73—21no—
750C22×D73—21no—
751C22×D73—44no—
752C22×D73—44no—
753C22×D73—44no—
754C22×D73—44no—
755C22×D73—44no—
756C22×D73—44no—
757C22×D73—44no—
758C22×D73—44no—
759C22×D73—44no—
760C22×D73—44no—
761C22×D73—44no—
762C22×D73—44no—
763C22×D73—44no—
764C22×D73—44no—
765C22×D73—44no—
766C22×D73—44no—
767C22×D73—4128no—
768C22×D73—44no—
769C22×D73—44no—
770C22×D73—44no—
771C22×D73—44no—
772C22×D73—44no—
773C22×D73—44no—
774C22×D73—44no—
775C22×D73—44no—
776C22×D73—44no—
777C22×D73—44no—
778C22×D73—44no—
779C22×D73—44no—
780C22×D73—44no—
781C22×D73—44no—
782C22×D73C22×D412yes—
783C22×D73C22×D412yes—
784C22×D73C2×#4112yes—
785C22×D73C2×#4112yes—
786C22×D73C2×#4112yes—
787C22×D73C2×#4112yes—
788C22×D73H(5,𝔽2)12yes—
789C22×D73H(5,𝔽2)12yes—
790D4×C73—44no—
791D4×C73—82no—
792D4×C73—82no—
793C2×C4×C73—21no—
794C2×C4×C73—21no—
795C2×C4×C73—21no—
796C2×C4×C73—21no—
797C2×C4×C73—21no—
798C2×C4×C73—21no—
799C2×C4×C73—21no—
800C2×C4×C73—21no—
801C2×C4×C73—21no—
802C2×C4×C73—21no—
803C2×C4×C73—21no—
804C2×C4×C73—21no—
805C2×C4×C73—21no—
806C2×C4×C73—21no—
807C2×C4×C73—21no—
808C2×C4×C73—21no—
809C2×C4×C73—21no—
810C2×C4×C73—21no—
811C2×C4×C73—21no—
812C2×C4×C73—21no—
813C2×C4×C73—21no—
814C2×C4×C73—21no—
815C2×C4×C73—21no—
816C2×C4×C73—21no—
817C2×C4×C73—21no—
818C2×C4×C73—21no—
819C2×C4×C73—21no—
820C2×C4×C73—21no—
821C2×C4×C73—21no—
822C2×C4×C73—21no—
823C2×C4×C73—21no—
824C2×C4×C73—44no—
825C2×C4×C73—44no—
826C2×C4×C73—82no—
827C2×C4×C73C22×D412yes—
828C2×C4×C73C22×D412yes—
829C22⋊D73—44no—
830C22⋊D73—44no—
831C22⋊D73—44no—
832C22⋊D73—82no—
833C22⋊D73—82no—
834C22⋊D73—82no—
835C22⋊D73—82no—
836C22⋊D73—82no—
837C2×Dic73—21no—
838C2×Dic73—21no—
839C2×Dic73—21no—
840C2×Dic73—21no—
841C2×Dic73—21no—
842C2×Dic73—21no—
843C2×Dic73—21no—
844C2×Dic73—21no—
845C2×Dic73—21no—
846C2×Dic73—21no—
847C2×Dic73—21no—
848C2×Dic73—21no—
849C2×Dic73—21no—
850C2×Dic73—21no—
851C2×Dic73—21no—
852C2×Dic73—21no—
853C2×Dic73—21no—
854C2×Dic73—21no—
855C2×Dic73—21no—
856C2×Dic73—21no—
857C2×Dic73—21no—
858C2×Dic73—21no—
859C2×Dic73—21no—
860C2×Dic73—21no—
861C2×Dic73—21no—
862C2×Dic73—21no—
863C2×Dic73—21no—
864C2×Dic73—21no—
865C2×Dic73—21no—
866C2×Dic73—21no—
867C2×Dic73—21no—
868C2×Dic73—44no—
869C2×Dic73—44no—
870C2×Dic73C22×D412yes—
871C2×Dic73C22×D412yes—
872D292—44no—
873D292—44no—
874D292—82no—
875D292—82no—
876C4×D73—44no—
877C4×D73—44no—
878C4×D73—44no—
879C4×D73—44no—
880C4×D73—44no—
881C4×D73—44no—
882C4×D73—44no—
883C4×D73—44no—
884C4×D73—82no—
885Dic146—82no—
886C22×C73—22no—
887C22×C73—22no—
888C22×C73—22no—
889C22×C73—22no—
890C22×C73—22no—
891C22×C73—22no—
892C22×C73—22no—
893C22×C73—22no—
894C22×C73—22no—
895C22×C73—22no—
896C22×C73—22no—
897C22×C73—22no—
898C22×C73—416no—
899C22×C73—41no—
900C22×C73—41no—
901C22×C73—41no—
902C22×C73—41no—
903C22×C73—41no—
904C22×C73—41no—
905C22×C73—41no—
906C22×C73—41no—
907C22×C73—41no—
908C22×C73—41no—
909C22×C73—41no—
910C22×C73—41no—
911C22×C73—41no—
912C22×C73—41no—
913C22×C73—41no—
914C22×C73#53814yescomplemented
915C22×C73C23×D411yescharacteristic
916C22×C73C22×#4111yescharacteristic
917C22×C73C22×#4111yescharacteristic
918C22×C73C2×H(5,𝔽2)11yescharacteristic
919C22×C73C2×H(5,𝔽2)11yescharacteristic
920C22×C73C2×H(5,𝔽2)11yescharacteristic
921C22×C73C2×H(5,𝔽2)11yescharacteristic
922C2×D73—232no—
923C2×D73—22no—
924C2×D73—22no—
925C2×D73—22no—
926C2×D73—22no—
927C2×D73—22no—
928C2×D73—22no—
929C2×D73—22no—
930C2×D73—22no—
931C2×D73—22no—
932C2×D73—22no—
933C2×D73—22no—
934C2×D73—22no—
935C2×D73—22no—
936C2×D73—22no—
937C2×D73—22no—
938C2×D73—22no—
939C2×D73—22no—
940C2×D73—22no—
941C2×D73—416no—
942C2×D73—416no—
943C2×D73—416no—
944C2×D73—416no—
945C2×D73—416no—
946C2×D73—41no—
947C2×D73—41no—
948C2×D73—41no—
949C2×D73—41no—
950C2×D73—41no—
951C2×D73—41no—
952C2×D73—41no—
953C2×D73—41no—
954C2×D73—41no—
955C2×D73—41no—
956C2×D73—41no—
957C2×D73—41no—
958C2×D73—41no—
959C2×D73—41no—
960C2×D73—41no—
961C2×D73#52514yes—
962C2×D73#53814yescomplemented
963C4×C73—22no—
964C4×C73—22no—
965C4×C73—41no—
966C4×C73—41no—
967C4×C73—41no—
968C4×C73—41no—
969C4×C73—41no—
970C4×C73—41no—
971C4×C73—41no—
972C4×C73—41no—
973C4×C73—41no—
974Dic73—22no—
975Dic73—22no—
976Dic73—41no—
977Dic73—41no—
978Dic73—41no—
979Dic73—41no—
980Dic73—41no—
981Dic73—41no—
982Dic73—41no—
983Dic73—41no—
984Dic73—41no—
985#34988—731nomaximal, Sylow
986C2×C73—24no—
987C2×C73—42no—
988C2×C73—42no—
989C2×C73—81no—
990C2×C73C2×#52511yescharacteristic
991C2×C73C2×#53811yescharacteristic
992C2×C73C2×#53811yescharacteristic
993C2×C73#348411yescharacteristic
994C2×C73#348411yescharacteristic
995C2×C73#349011yescharacteristic
996C2×C73#349011yescharacteristic
997D73—24no—
998D73—24no—
999D73—42no—
1000D73—42no—
1001D73—81no—
1002C2×#538—731no—
1003C23×C22⋊C4—731no—
1004#2848—731no—
1005#2847—731no—
1006#2846—731no—
1007#2846—731no—
1008#2626—731no—
1009#2622—731no—
1010#2622—731no—
1011#2617—731no—
1012#2480—731no—
1013#2480—731no—
1014#2480—731no—
1015#2480—731no—
1016#2472—731no—
1017#2472—731no—
1018#2472—731no—
1019#2472—731no—
1020#2424—731no—
1021#2424—731no—
1022#2424—731no—
1023#2424—731no—
1024#2418—731no—
1025#2418—731no—
1026#2418—731no—
1027#2418D7311yescharacteristic, complemented
1028#2321—731no—
1029#2321—731no—
1030#2312—731no—
1031C4×#120—731no—
1032C4×#120—731no—
1033C73#3498811yescharacteristic, complemented, Sylow
1034C26—731no—
1035C24×C4—731no—
1036C24×C4—731no—
1037#538—1468no—
1038C2×#126—731no—
1039C2×#126—731no—
1040C2×#124—731no—
1041C2×#124—731no—
1042C2×#123—731no—
1043C2×#123C2×D7311yescharacteristic, complemented
1044C2×C22⋊Q8—731no—
1045C2×C22⋊Q8—731no—
1046C2×C22⋊Q8—731no—
1047C2×#121—731no—
1048C2×#121—731no—
1049C2×#121—731no—
1050C2×#121—731no—
1051C2×#121—731no—
1052C2×#120—731no—
1053C2×#120—731no—
1054C2×#120—731no—
1055C2×#120—731no—
1056C2×#120—731no—
1057C2×#120—731no—
1058C2×#120—731no—
1059C2×#120—731no—
1060C2×#120—731no—
1061C2×#120—731no—
1062C2×#120—731no—
1063C2×#120—731no—
1064C2×#120—731no—
1065C2×#120C2×D7311yescharacteristic
1066C2×C4×D4—731no—
1067C2×C4×D4—731no—
1068C2×C4×D4—731no—
1069C2×C4×D4—731no—
1070C2×C4×D4—731no—
1071C2×C4×D4C2×D7311yescharacteristic, complemented
1072C22×C22⋊C4—731no—
1073C22×C22⋊C4—731no—
1074C22×C22⋊C4—731no—
1075C22×C22⋊C4—731no—
1076C22×C22⋊C4—731no—
1077C22×C22⋊C4—731no—
1078C22×C22⋊C4—731no—
1079C22×C22⋊C4—731no—
1080C22×C22⋊C4—731no—
1081C22×C22⋊C4—731no—
1082C22×C22⋊C4—731no—
1083C22×C22⋊C4—1468no—
1084C22×C22⋊C4C2×D7311yescharacteristic
1085#399—731no—
1086#399C2×D7311yescharacteristic, complemented
1087#397—731no—
1088#397—731no—
1089#397—731no—
1090#397—731no—
1091#397—731no—
1092#397—731no—
1093#397—731no—
1094#397—731no—
1095#397—731no—
1096#397C2×D7311yescharacteristic, complemented
1097#396—731no—
1098#396—731no—
1099#396—731no—
1100#396—731no—
1101#394—731no—
1102#394—731no—
1103#394—731no—
1104#394—731no—
1105#394—731no—
1106#394—731no—
1107#394—731no—
1108#394—731no—
1109#394—731no—
1110#394—731no—
1111#394C2×D7311yescharacteristic, complemented
1112#394C2×D7311yescharacteristic, complemented
1113#393—731no—
1114#393—731no—
1115#392—731no—
1116#392—731no—
1117#390—731no—
1118#390—731no—
1119#390—731no—
1120#390—731no—
1121#388—731no—
1122#388—731no—
1123#388—731no—
1124#388—731no—
1125#388—731no—
1126#388—731no—
1127#388—731no—
1128#388—731no—
1129#388—731no—
1130#388—731no—
1131#388—731no—
1132#388—731no—
1133#388—731no—
1134#388—731no—
1135#388C2×D7311yescharacteristic, complemented
1136#388C2×D7311yescharacteristic, complemented
1137#386—731no—
1138#386—731no—
1139#386—731no—
1140#386—731no—
1141#386—731no—
1142#386—731no—
1143#386—731no—
1144#386—731no—
1145#386—731no—
1146#386—731no—
1147#386—731no—
1148#386—731no—
1149#386—731no—
1150#386—731no—
1151#386C2×D7311yescharacteristic, complemented
1152#386C2×D7311yescharacteristic, complemented
1153#385—731no—
1154#385—731no—
1155#385—731no—
1156#385—731no—
1157#385—731no—
1158#385—731no—
1159#385—731no—
1160#385—731no—
1161#385—731no—
1162#385—731no—
1163#385—731no—
1164#385C2×D7311yescharacteristic, complemented
1165#380—731no—
1166#380—731no—
1167#380—731no—
1168#380—731no—
1169#380—731no—
1170#380C2×D7311yescharacteristic, complemented
1171#379—731no—
1172#379—731no—
1173#379—731no—
1174#379—731no—
1175#379—731no—
1176#379—731no—
1177#379—731no—
1178#379—731no—
1179#379—731no—
1180#379—731no—
1181#379—731no—
1182#379—731no—
1183#379—731no—
1184#379C2×D7311yescharacteristic
1185C4×C22⋊C4—731no—
1186C4×C22⋊C4—731no—
1187C4×C22⋊C4—731no—
1188C4×C22⋊C4—731no—
1189C4×C22⋊C4—731no—
1190C4×C22⋊C4—731no—
1191C25—2922no—
1192C25—2922no—
1193C25—2922no—
1194C25—2922no—
1195C25—731no—
1196C25—731no—
1197C25—731no—
1198C25—731no—
1199C25—731no—
1200C25—731no—
1201C25—1464no—
1202C25—1464no—
1203C25—1464no—
1204C25C22×D7311yescharacteristic
1205C22×Q8—731no—
1206C22×D4—731no—
1207C22×D4—731no—
1208C22×D4—731no—
1209C22×D4—731no—
1210C22×D4—731no—
1211C22×D4—731no—
1212C22×D4—731no—
1213C22×D4—731no—
1214C22×D4—731no—
1215C22×D4—731no—
1216C22×D4—731no—
1217C22×D4—731no—
1218C22×D4C22×D7311yescharacteristic
1219C22×D4C22×D7311yescharacteristic
1220C22×D4C22×D7311yescharacteristic
1221C23×C4—2922no—
1222C23×C4—2922no—
1223C23×C4—2922no—
1224C23×C4—2922no—
1225C23×C4—731no—
1226C23×C4—731no—
1227C23×C4—731no—
1228C23×C4—731no—
1229C23×C4—731no—
1230C23×C4—731no—
1231C23×C4—731no—
1232C23×C4—731no—
1233C23×C4—731no—
1234C23×C4—731no—
1235C23×C4—731no—
1236C23×C4—1464no—
1237C23×C4—1464no—
1238C23×C4C22×D7311yescharacteristic
1239C23×C4C22×D7311yescharacteristic
1240C23×C4C22×D7311yescharacteristic, complemented
1241#126—1464no—
1242#126—1464no—
1243#124—1464no—
1244#124—1464no—
1245#123—24no—
1246#123—1464no—
1247C22⋊Q8—2922no—
1248C22⋊Q8—2922no—
1249C22⋊Q8—1464no—
1250#121—2922no—
1251#121—2922no—
1252#121—1464no—
1253#121—1464no—
1254#121—1464no—
1255#120—42no—
1256#120—2922no—
1257#120—2922no—
1258#120—2922no—
1259#120—2922no—
1260#120—2922no—
1261#120—2922no—
1262#120—2922no—
1263#120—1464no—
1264#120—1464no—
1265#120—1464no—
1266#120—1464no—
1267#120—1464no—
1268#120—1464no—
1269C4×D4—42no—
1270C4×D4—2922no—
1271C4×D4—2922no—
1272C4×D4—2922no—
1273C4×D4—1464no—
1274C4×D4—1464no—
1275C2×C4⋊C4—731no—
1276C2×C4⋊C4—731no—
1277C2×C4⋊C4—731no—
1278C2×C4⋊C4—731no—
1279C2×C4⋊C4—731no—
1280C2×C4⋊C4—731no—
1281C2×C4⋊C4—731no—
1282C2×C4⋊C4—731no—
1283C2×C4⋊C4—731no—
1284C2×C4⋊C4—731no—
1285C2×C4⋊C4—731no—
1286C2×C4⋊C4—731no—
1287C2×C4⋊C4—731no—
1288C2×C4⋊C4C22×D7311yescharacteristic, complemented
1289C2×C4⋊C4C22×D7311yescharacteristic, complemented
1290C2×C4⋊C4C22×D7311yescharacteristic, complemented
1291C2×C4⋊C4C22×D7311yescharacteristic, complemented
1292C2×C4⋊C4C22×D7311yescharacteristic, complemented
1293C2×C22⋊C4—24no—
1294C2×C22⋊C4—731no—
1295C2×C22⋊C4—731no—
1296C2×C22⋊C4—731no—
1297C2×C22⋊C4—731no—
1298C2×C22⋊C4—731no—
1299C2×C22⋊C4—731no—
1300C2×C22⋊C4—731no—
1301C2×C22⋊C4—731no—
1302C2×C22⋊C4—731no—
1303C2×C22⋊C4—731no—
1304C2×C22⋊C4—731no—
1305C2×C22⋊C4—731no—
1306C2×C22⋊C4—731no—
1307C2×C22⋊C4—731no—
1308C2×C22⋊C4—731no—
1309C2×C22⋊C4—731no—
1310C2×C22⋊C4—731no—
1311C2×C22⋊C4—731no—
1312C2×C22⋊C4—731no—
1313C2×C22⋊C4—731no—
1314C2×C22⋊C4—731no—
1315C2×C22⋊C4—738no—
1316C2×C22⋊C4—731no—
1317C2×C22⋊C4—731no—
1318C2×C22⋊C4—731no—
1319C2×C22⋊C4—731no—
1320C2×C22⋊C4—731no—
1321C2×C22⋊C4—731no—
1322C2×C22⋊C4—731no—
1323C2×C22⋊C4—731no—
1324C2×C22⋊C4—731no—
1325C2×C22⋊C4—731no—
1326C2×C22⋊C4—731no—
1327C2×C22⋊C4—731no—
1328C2×C22⋊C4—731no—
1329C2×C22⋊C4—731no—
1330C2×C22⋊C4—731no—
1331C2×C22⋊C4—731no—
1332C2×C22⋊C4—731no—
1333C2×C22⋊C4—731no—
1334C2×C22⋊C4—731no—
1335C2×C22⋊C4—731no—
1336C2×C22⋊C4—731no—
1337C2×C22⋊C4—731no—
1338C2×C22⋊C4—731no—
1339C2×C22⋊C4—731no—
1340C2×C22⋊C4—731no—
1341C2×C22⋊C4—731no—
1342C2×C22⋊C4—731no—
1343C2×C22⋊C4—731no—
1344C2×C22⋊C4—731no—
1345C2×C22⋊C4—731no—
1346C2×C22⋊C4—731no—
1347C2×C22⋊C4—731no—
1348C2×C22⋊C4—731no—
1349C2×C22⋊C4—1464no—
1350C2×C22⋊C4—1464no—
1351C2×C22⋊C4—1464no—
1352C2×C22⋊C4—1464no—
1353C2×C22⋊C4—1464no—
1354C2×C22⋊C4—1464no—
1355C2×C22⋊C4—1464no—
1356C2×C22⋊C4—1464no—
1357C2×C22⋊C4—1464no—
1358C2×C22⋊C4—1464no—
1359C2×C22⋊C4C22×D7311yescharacteristic
1360C2×C22⋊C4C22×D7311yescharacteristic
1361C2×C22⋊C4C22×D7311yescharacteristic
1362C2×C22⋊C4C22×D7311yescharacteristic
1363C2×C22⋊C4C22×D7311yescharacteristic
1364C2×C22⋊C4C22×D7311yescharacteristic
1365C2×C22⋊C4C22×D7311yescharacteristic
1366C2×C22⋊C4C22×D7311yescharacteristic
1367C2×C22⋊C4C22×D7311yescharacteristic
1368C2×C22⋊C4C22×D7311yescharacteristic
1369C2×C22⋊C4C22×D7311yescharacteristic
1370C2×C22⋊C4C22×D7311yescharacteristic
1371C2×C22⋊C4C22×D7311yescharacteristic
1372C2×C22⋊C4C22×D7311yescharacteristic, complemented
1373C2×C22⋊C4C22×D7311yescharacteristic, complemented
1374C2×C22⋊C4C22×D7311yescharacteristic, complemented
1375C2×C42—731no—
1376C2×C42—731no—
1377C2×C42—731no—
1378C2×C42—731no—
1379C2×C42—731no—
1380C2×C42C22×D7311yescharacteristic, complemented
1381#95—731no—
1382#95—731no—
1383#95—731no—
1384#95—731no—
1385#95—731no—
1386#95—731no—
1387#95—731no—
1388#95—731no—
1389#95—731no—
1390#95—731no—
1391#95—731no—
1392#95—731no—
1393#95—731no—
1394#95—731no—
1395#95—731no—
1396#95—731no—
1397#95—731no—
1398#95—731no—
1399#95C22×D7311yescharacteristic, complemented
1400#95C22×D7311yescharacteristic, complemented
1401#95C22×D7311yescharacteristic, complemented
1402#95C22×D7311yescharacteristic, complemented
1403#95C22×D7311yescharacteristic, complemented
1404#95C22×D7311yescharacteristic, complemented
1405C24—22no—
1406C24—22no—
1407C24—22no—
1408C24—22no—
1409C24—22no—
1410C24—41no—
1411C24—41no—
1412C24—2921no—
1413C24—2921no—
1414C24—2921no—
1415C24—2921no—
1416C24—2921no—
1417C24—2921no—
1418C24—2921no—
1419C24—2921no—
1420C24—2921no—
1421C24—2921no—
1422C24—2921no—
1423C24—2921no—
1424C24—2921no—
1425C24—2921no—
1426C24—29216no—
1427C24—29216no—
1428C24—29216no—
1429C24—29216no—
1430C24—29216no—
1431C24—29216no—
1432C24—734no—
1433C24—734no—
1434C24—731no—
1435C24—731no—
1436C24—734no—
1437C24—731no—
1438C24—731no—
1439C24—731no—
1440C24—1462no—
1441C24—1462no—
1442C24—1462no—
1443C24—1462no—
1444C24—1462no—
1445C24—1462no—
1446C24—1462no—
1447C24—1462no—
1448C24—1462no—
1449C24—1462no—
1450C24—1462no—
1451C24—1462no—
1452C24—1462no—
1453C24—1462no—
1454C24—14632no—
1455C24—1462no—
1456C24—1462no—
1457C24—1462no—
1458C24—1462no—
1459C24—1462no—
1460C24—1462no—
1461C24—1462no—
1462C24—1462no—
1463C24—1462no—
1464C24—1462no—
1465C24—1462no—
1466C24C23×D7311yescharacteristic
1467C24C23×D7311yescharacteristic
1468C24C23×D7311yescharacteristic
1469C24C23×D7311yescharacteristic
1470C2×Q8—2921no—
1471C2×Q8—2921no—
1472C2×Q8—1462no—
1473C2×D4—22no—
1474C2×D4—22no—
1475C2×D4—22no—
1476C2×D4—22no—
1477C2×D4—22no—
1478C2×D4—41no—
1479C2×D4—41no—
1480C2×D4—41no—
1481C2×D4—41no—
1482C2×D4—2921no—
1483C2×D4—2921no—
1484C2×D4—2921no—
1485C2×D4—2921no—
1486C2×D4—2921no—
1487C2×D4—2921no—
1488C2×D4—2921no—
1489C2×D4—2921no—
1490C2×D4—2921no—
1491C2×D4—2921no—
1492C2×D4—2921no—
1493C2×D4—2921no—
1494C2×D4—2921no—
1495C2×D4—2921no—
1496C2×D4—1462no—
1497C2×D4—1462no—
1498C2×D4—1462no—
1499C2×D4—1462no—
1500C2×D4—1462no—
1501C2×D4—1462no—
1502C2×D4—1462no—
1503C2×D4—1462no—
1504C2×D4—1462no—
1505C2×D4—1462no—
1506C2×D4—1462no—
1507C2×D4—1462no—
1508C2×D4—1462no—
1509C2×D4—1462no—
1510C2×D4—1462no—
1511C2×D4—1462no—
1512C2×D4—1462no—
1513C2×D4—1462no—
1514C2×D4—1462no—
1515C2×D4—1462no—
1516C2×D4—1462no—
1517C2×D4—1462no—
1518C22×C4—22no—
1519C22×C4—22no—
1520C22×C4—22no—
1521C22×C4—22no—
1522C22×C4—22no—
1523C22×C4—41no—
1524C22×C4—41no—
1525C22×C4—41no—
1526C22×C4—41no—
1527C22×C4—2921no—
1528C22×C4—2921no—
1529C22×C4—2921no—
1530C22×C4—2921no—
1531C22×C4—2921no—
1532C22×C4—2921no—
1533C22×C4—2921no—
1534C22×C4—2921no—
1535C22×C4—2921no—
1536C22×C4—2921no—
1537C22×C4—2921no—
1538C22×C4—2921no—
1539C22×C4—2921no—
1540C22×C4—2921no—
1541C22×C4—29216no—
1542C22×C4—29216no—
1543C22×C4—2921no—
1544C22×C4—2921no—
1545C22×C4—734no—
1546C22×C4—734no—
1547C22×C4—731no—
1548C22×C4—731no—
1549C22×C4—731no—
1550C22×C4—731no—
1551C22×C4—731no—
1552C22×C4—731no—
1553C22×C4—731no—
1554C22×C4—731no—
1555C22×C4—731no—
1556C22×C4—731no—
1557C22×C4—731no—
1558C22×C4—1462no—
1559C22×C4—1462no—
1560C22×C4—1462no—
1561C22×C4—1462no—
1562C22×C4—1462no—
1563C22×C4—1462no—
1564C22×C4—1462no—
1565C22×C4—1462no—
1566C22×C4—1462no—
1567C22×C4—1462no—
1568C22×C4—1462no—
1569C22×C4—1462no—
1570C22×C4—1462no—
1571C22×C4—1462no—
1572C22×C4—1462no—
1573C22×C4C23×D7311yescharacteristic
1574C22×C4C23×D7311yescharacteristic
1575C22×C4C23×D7311yescharacteristic
1576C22×C4C23×D7311yescharacteristic
1577C22×C4C23×D7311yescharacteristic
1578C22×C4C23×D7311yescharacteristic
1579C22×C4C23×D7311yescharacteristic
1580C22×C4C23×D7311yescharacteristic
1581C22×C4C23×D7311yescharacteristic
1582C22×C4C23×D7311yescharacteristic
1583C22×C4C23×D7311yescharacteristic
1584C4⋊C4—22no—
1585C4⋊C4—22no—
1586C4⋊C4—41no—
1587C4⋊C4—41no—
1588C4⋊C4—41no—
1589C4⋊C4—2921no—
1590C4⋊C4—2921no—
1591C4⋊C4—2921no—
1592C4⋊C4—2921no—
1593C4⋊C4—2921no—
1594C4⋊C4—2921no—
1595C4⋊C4—2921no—
1596C4⋊C4—2921no—
1597C4⋊C4—2921no—
1598C4⋊C4—1462no—
1599C4⋊C4—1462no—
1600C4⋊C4—1462no—
1601C4⋊C4—1462no—
1602C22⋊C4—22no—
1603C22⋊C4—22no—
1604C22⋊C4—22no—
1605C22⋊C4—22no—
1606C22⋊C4—22no—
1607C22⋊C4—22no—
1608C22⋊C4—22no—
1609C22⋊C4—22no—
1610C22⋊C4—22no—
1611C22⋊C4—41no—
1612C22⋊C4—41no—
1613C22⋊C4—41no—
1614C22⋊C4—41no—
1615C22⋊C4—41no—
1616C22⋊C4—41no—
1617C22⋊C4—2921no—
1618C22⋊C4—2921no—
1619C22⋊C4—2921no—
1620C22⋊C4—2921no—
1621C22⋊C4—2921no—
1622C22⋊C4—2921no—
1623C22⋊C4—2921no—
1624C22⋊C4—2921no—
1625C22⋊C4—2921no—
1626C22⋊C4—2921no—
1627C22⋊C4—2921no—
1628C22⋊C4—2921no—
1629C22⋊C4—2921no—
1630C22⋊C4—2921no—
1631C22⋊C4—2921no—
1632C22⋊C4—2921no—
1633C22⋊C4—2921no—
1634C22⋊C4—2921no—
1635C22⋊C4—734no—
1636C22⋊C4—734no—
1637C22⋊C4—734no—
1638C22⋊C4—1462no—
1639C22⋊C4—1462no—
1640C22⋊C4—1462no—
1641C22⋊C4—1462no—
1642C22⋊C4—1462no—
1643C22⋊C4—1462no—
1644C22⋊C4—1462no—
1645C22⋊C4—1462no—
1646C22⋊C4—1462no—
1647C22⋊C4—1462no—
1648C22⋊C4—1462no—
1649C22⋊C4—1462no—
1650C22⋊C4—1462no—
1651C22⋊C4—1462no—
1652C22⋊C4—1462no—
1653C22⋊C4—1462no—
1654C22⋊C4—1462no—
1655C22⋊C4—1462no—
1656C22⋊C4—1462no—
1657C22⋊C4—1462no—
1658C22⋊C4—1462no—
1659C22⋊C4—1462no—
1660C22⋊C4—1462no—
1661C22⋊C4—1462no—
1662C22⋊C4—1462no—
1663C22⋊C4—1462no—
1664C22⋊C4—1462no—
1665C22⋊C4—1462no—
1666C22⋊C4—1462no—
1667C22⋊C4—1462no—
1668C22⋊C4—1462no—
1669C22⋊C4—1462no—
1670C22⋊C4—1462no—
1671C22⋊C4D4×D7314yes—
1672C42—41no—
1673C42—2921no—
1674C42—2921no—
1675C42—2921no—
1676C42—1462no—
1677C42—1462no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—28no—
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—21no—
1695C23—21no—
1696C23—21no—
1697C23—21no—
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—44no—
1703C23—44no—
1704C23—44no—
1705C23—44no—
1706C23—44no—
1707C23—44no—
1708C23—2924no—
1709C23—2924no—
1710C23—2924no—
1711C23—2924no—
1712C23—2924no—
1713C23—2924no—
1714C23—2924no—
1715C23—2924no—
1716C23—2924no—
1717C23—2924no—
1718C23—2924no—
1719C23—2924no—
1720C23—2924no—
1721C23—2924no—
1722C23—2924no—
1723C23—292128no—
1724C23—2924no—
1725C23—2924no—
1726C23—2924no—
1727C23—2924no—
1728C23—2924no—
1729C23—2924no—
1730C23—2924no—
1731C23—2924no—
1732C23—2924no—
1733C23—2924no—
1734C23—2924no—
1735C23—2924no—
1736C23—2924no—
1737C23—2924no—
1738C23—2924no—
1739C23—732no—
1740C23—732no—
1741C23—732no—
1742C23—732no—
1743C23—732no—
1744C23—732no—
1745C23—732no—
1746C23—732no—
1747C23—1468no—
1748C23—1468no—
1749C23—1468no—
1750C23—1468no—
1751C23—1468no—
1752C23—1468no—
1753C23—1468no—
1754C23—1468no—
1755C23—1468no—
1756C23—1468no—
1757C23—1468no—
1758C23—1461no—
1759C23—1461no—
1760C23—1461no—
1761C23—1461no—
1762C23—1461no—
1763C23—1461no—
1764C23—1461no—
1765C23—1461no—
1766C23—1461no—
1767C23—1461no—
1768C23—1461no—
1769C23—1461no—
1770C23—1461no—
1771C23—1461no—
1772C23—1461no—
1773C23—1461no—
1774C23—1461no—
1775C23—1461no—
1776C23—1461no—
1777C23—1461no—
1778C23—1461no—
1779C23—1461no—
1780C23—1461no—
1781C23—1461no—
1782C23—1461no—
1783C23—1461no—
1784C23—1461no—
1785C23—1468no—
1786C23C2×D4×D7312yes—
1787C23#41×D7312yes—
1788C23#41×D7312yes—
1789C23#1455663612yes—
1790C23#1455663712yes—
1791C23C24×D7311yescharacteristic
1792Q8—5842no—
1793D4—44no—
1794D4—82no—
1795D4—82no—
1796D4—2924no—
1797D4—2924no—
1798D4—2924no—
1799D4—2924no—
1800D4—2924no—
1801D4—5842no—
1802D4—5842no—
1803D4—5842no—
1804D4—5842no—
1805D4—5842no—
1806D4—5842no—
1807D4—5842no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—44no—
1840C2×C4—44no—
1841C2×C4—82no—
1842C2×C4—2924no—
1843C2×C4—2924no—
1844C2×C4—2924no—
1845C2×C4—2924no—
1846C2×C4—2924no—
1847C2×C4—2924no—
1848C2×C4—2924no—
1849C2×C4—2924no—
1850C2×C4—2924no—
1851C2×C4—2924no—
1852C2×C4—5842no—
1853C2×C4—732no—
1854C2×C4—732no—
1855C2×C4—1461no—
1856C2×C4—1461no—
1857C2×C4—1461no—
1858C2×C4—1461no—
1859C2×C4—1461no—
1860C2×C4—1461no—
1861C2×C4—1461no—
1862C2×C4—1461no—
1863C2×C4—1461no—
1864C2×C4—1461no—
1865C2×C4—1461no—
1866C2×C4—1461no—
1867C2×C4—1461no—
1868C2×C4—1461no—
1869C2×C4—1461no—
1870C2×C4—1461no—
1871C2×C4—1461no—
1872C2×C4—1461no—
1873C2×C4—1461no—
1874C2×C4—1461no—
1875C2×C4—1461no—
1876C2×C4—1461no—
1877C2×C4—1461no—
1878C2×C4—1461no—
1879C2×C4—1461no—
1880C2×C4—1461no—
1881C2×C4—1461no—
1882C2×C4—1461no—
1883C2×C4—1461no—
1884C2×C4—1461no—
1885C2×C4—1461no—
1886C2×C4C2×D4×D7312yes—
1887C2×C4C2×D4×D7312yes—
1888C22—22no—
1889C22—22no—
1890C22—22no—
1891C22—22no—
1892C22—22no—
1893C22—22no—
1894C22—22no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—416no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—41no—
1908C22—41no—
1909C22—41no—
1910C22—41no—
1911C22—41no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—29216no—
1917C22—29216no—
1918C22—29216no—
1919C22—29216no—
1920C22—29216no—
1921C22—2921no—
1922C22—2921no—
1923C22—2921no—
1924C22—2921no—
1925C22—2921no—
1926C22—2921no—
1927C22—2921no—
1928C22—2921no—
1929C22—2921no—
1930C22—2921no—
1931C22—2921no—
1932C22—2921no—
1933C22—2921no—
1934C22—2921no—
1935C22—2921no—
1936C22—734no—
1937C22—734no—
1938C22—14632no—
1939C22—1462no—
1940C22—1462no—
1941C22—1462no—
1942C22—1462no—
1943C22—1462no—
1944C22—1462no—
1945C22—1462no—
1946C22—1462no—
1947C22—1462no—
1948C22—1462no—
1949C22—1462no—
1950C22—1462no—
1951C22—1462no—
1952C22—1462no—
1953C22—1462no—
1954C22—1462no—
1955C22—1462no—
1956C22—1462no—
1957C22#1798917314yescomplemented
1958C22C22×D4×D7311yescharacteristic
1959C22C2×#41×D7311yescharacteristic
1960C22C2×#41×D7311yescharacteristic
1961C22H(5,𝔽2)×D7311yescharacteristic
1962C22H(5,𝔽2)×D7311yescharacteristic
1963C22C2×#1455663611yescharacteristic
1964C22C2×#1455663711yescharacteristic
1965C4—22no—
1966C4—22no—
1967C4—41no—
1968C4—41no—
1969C4—41no—
1970C4—41no—
1971C4—41no—
1972C4—41no—
1973C4—41no—
1974C4—41no—
1975C4—41no—
1976C4—2921no—
1977C4—2921no—
1978C4—2921no—
1979C4—2921no—
1980C4—2921no—
1981C4—2921no—
1982C4—2921no—
1983C4—2921no—
1984C4—2921no—
1985C4—1462no—
1986C4—1462no—
1987C2—24no—
1988C2—42no—
1989C2—42no—
1990C2—81no—
1991C2—2922no—
1992C2—2922no—
1993C2—5841no—
1994C2—1464no—
1995C2—1464no—
1996C2#525×D7311yescharacteristic
1997C2#538×D7311yescharacteristic
1998C2C2×#1798917311yescharacteristic
1999C2#2262355911yescharacteristic
2000C2#2262356111yescharacteristic
2001C2#2262361311yescharacteristic
2002C2#2262361511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2418C2
hypercenter#2418D73
hypocenterC73#34988
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
1. C2×#17989173C2semidirect
2. C22×C22⋊C4×D73C2semidirect
3. #22618219C2semidirect
4. #22618212C2semidirect
5. #22618209C2semidirect
6. #22618207C2semidirect
7. #22615737C2semidirect
8. #22615705C2semidirect
9. #22615703C2semidirect
10. #22615670C2semidirect
11. #22614183C2semidirect
12. #22614179C2semidirect
13. #22614174C2semidirect
14. #22614170C2semidirect
15. #22614062C2semidirect
16. #22614058C2semidirect
17. #22614055C2semidirect
18. #22614051C2semidirect
19. #22613466C2semidirect
20. #22613463C2semidirect
21. #22613461C2semidirect
22. #22613460C2semidirect
23. #22613399C2semidirect
24. #22613396C2semidirect
25. #22613390C2semidirect
26. #22612587C2semidirect
27. #22612584C2semidirect
28. #22612525C2semidirect
29. #22612432C2semidirect
30. C4×#14556559C2semidirect
31. C73×#2418C2semidirect
36. C2×#14556586C22semidirect
37. C2×#14556584C22semidirect
38. C2×#14556577C22semidirect
39. C2×#14556577C22semidirect
40. C2×#14556576C22semidirect
41. C2×#14556571C22semidirect
42. C2×#14556571C22semidirect
43. C2×#14556570C22semidirect
44. C2×#14556565C22semidirect
45. C2×#14556564C22semidirect
46. C2×#14556564C22semidirect
47. C2×#14556563C22semidirect
48. C2×#14556562C22semidirect
62. C2×#14556553C22semidirect
63. C2×#14556553C22semidirect
64. C2×C4×C22⋊D73C22semidirect
65. C2×C4×C22⋊D73C22semidirect
66. C2×#14556551C22semidirect
79. #17988522C22semidirect
80. #17988516C22semidirect
81. #17988516C22semidirect
82. #17988516C22semidirect
83. #17988515C22semidirect
84. #17988515C22semidirect
85. #17988515C22semidirect
86. #17988514C22semidirect
87. #17988513C22semidirect
88. #17988512C22semidirect
89. #17988510C22semidirect
90. #17988510C22semidirect
91. #17988509C22semidirect
92. #17988509C22semidirect
93. #17988505C22semidirect
94. #17988504C22semidirect
95. #17988504C22semidirect
96. #17988503C22semidirect
97. #17988503C22semidirect
98. #17988503C22semidirect
99. #17988503C22semidirect
100. #17988502C22semidirect
101. #17988502C22semidirect
102. #17988501C22semidirect
103. #17988500C22semidirect
104. #17988499C22semidirect
105. #17988496C22semidirect
106. #17988495C22semidirect
107. #17988490C22semidirect
108. #17988489C22semidirect
109. #17988487C22semidirect
110. #17988487C22semidirect
111. #17988481C22semidirect
112. #17988480C22semidirect
113. #17988480C22semidirect
114. #17988479C22semidirect
115. #17988479C22semidirect
116. #17988478C22semidirect
117. #17988477C22semidirect
118. #17988477C22semidirect
119. #17988476C22semidirect
120. #17988476C22semidirect
121. #17988476C22semidirect
122. #17988475C22semidirect
123. #17988475C22semidirect
124. #17988475C22semidirect
125. #17988467C22semidirect
126. #17988466C22semidirect
127. #17988466C22semidirect
128. #17988466C22semidirect
129. #17988465C22semidirect
130. #17988465C22semidirect
131. #17988465C22semidirect
132. #17988465C22semidirect
133. #17988465C22semidirect
134. #17988463C22semidirect
135. #17988463C22semidirect
136. #17988463C22semidirect
137. #17988463C22semidirect
138. #17988463C22semidirect
139. #17988462C22semidirect
140. #17988462C22semidirect
141. #17988461C22semidirect
142. #17988461C22semidirect
143. #17988461C22semidirect
144. #17988461C22semidirect
145. #17988459C22semidirect
146. #17988458C22semidirect
147. #17988458C22semidirect
148. #17988458C22semidirect
149. #17988458C22semidirect
150. #17988446C22semidirect
151. #17988446C22semidirect
152. #17988445C22semidirect
153. #17988444C22semidirect
154. #17988444C22semidirect
168. C22⋊C4×Dic73C22semidirect
169. C4×#11924005C22semidirect
170. C4×#11924005C22semidirect
171. C4×C22⋊Dic73C22semidirect
172. #17988434C22semidirect
173. #17988434C22semidirect
174. C2×#123×C73C22semidirect
176. C2×C4×D4×C73C22semidirect
178. #399×C73C22semidirect
179. #397×C73C22semidirect
180. #394×C73C22semidirect
181. #394×C73C22semidirect
182. #388×C73C22semidirect
183. #388×C73C22semidirect
184. #386×C73C22semidirect
185. #386×C73C22semidirect
186. #385×C73C22semidirect
187. #380×C73C22semidirect
202. C22×Dic146C23semidirect
214. C22×C22⋊D73C23semidirect
231. C22×C4×D73C23semidirect
263. C2×C4⋊Dic73C23semidirect
264. C2×C4⋊Dic73C23semidirect
265. C2×C4⋊Dic73C23semidirect
266. C2×C4⋊Dic73C23semidirect
267. C2×C4⋊Dic73C23semidirect
268. C2×#11924007C23semidirect
269. C2×#11924007C23semidirect
270. C2×#11924007C23semidirect
271. C2×#11924007C23semidirect
272. C2×#11924007C23semidirect
273. C2×#11924007C23semidirect
274. C2×#11924007C23semidirect
275. C2×#11924007C23semidirect
290. C2×C22⋊Dic73C23semidirect
291. C2×C22⋊Dic73C23semidirect
292. C2×C22⋊Dic73C23semidirect
327. C2×#11924005C23semidirect
328. C2×#11924005C23semidirect
329. C2×#11924005C23semidirect
330. C2×#11924005C23semidirect
331. C2×#11924005C23semidirect
332. C2×#11924005C23semidirect
340. C22⋊C4×D73D4semidirect
341. C2×C4×Dic73C23semidirect
342. C2×C4×Dic73C23semidirect
343. C2×C4×Dic73C23semidirect
344. C2×C4×Dic73C23semidirect
345. C2×C4×Dic73C23semidirect
346. #14556498C23semidirect
347. #14556498C23semidirect
348. #14556498C23semidirect
349. #14556498C23semidirect
350. #14556498C23semidirect
351. #14556498C23semidirect
352. #14556498C23semidirect
353. #14556498C23semidirect
354. #14556498C23semidirect
355. #14556498C23semidirect
356. #14556498C23semidirect
357. #14556498C23semidirect
358. #14556498C23semidirect
359. #14556498C23semidirect
360. #14556498C23semidirect
361. #14556498C23semidirect
362. #14556498C23semidirect
363. #14556498C23semidirect
370. C23×C4×C73C23semidirect
374. C2×C4⋊C4×C73C23semidirect
375. C2×C4⋊C4×C73C23semidirect
376. C2×C4⋊C4×C73C23semidirect
377. C2×C4⋊C4×C73C23semidirect
378. C2×C4⋊C4×C73C23semidirect
393. C2×C22⋊C4×C73C23semidirect
394. C2×C22⋊C4×C73C23semidirect
395. C2×C22⋊C4×C73C23semidirect
396. C2×C42×C73C23semidirect
397. #95×C73C23semidirect
398. #95×C73C23semidirect
399. #95×C73C23semidirect
400. #95×C73C23semidirect
401. #95×C73C23semidirect
402. #95×C73C23semidirect
914. C22×C73#538semidirect
962. C2×D73#538semidirect
1027. #2418D73semidirect
1033. C73#34988semidirect
1043. C2×#123C2×D73semidirect
1071. C2×C4×D4C2×D73semidirect
1086. #399C2×D73semidirect
1096. #397C2×D73semidirect
1111. #394C2×D73semidirect
1112. #394C2×D73semidirect
1135. #388C2×D73semidirect
1136. #388C2×D73semidirect
1151. #386C2×D73semidirect
1152. #386C2×D73semidirect
1164. #385C2×D73semidirect
1170. #380C2×D73semidirect
1240. C23×C4C22×D73semidirect
1288. C2×C4⋊C4C22×D73semidirect
1289. C2×C4⋊C4C22×D73semidirect
1290. C2×C4⋊C4C22×D73semidirect
1291. C2×C4⋊C4C22×D73semidirect
1292. C2×C4⋊C4C22×D73semidirect
1372. C2×C22⋊C4C22×D73semidirect
1373. C2×C22⋊C4C22×D73semidirect
1374. C2×C22⋊C4C22×D73semidirect
1380. C2×C42C22×D73semidirect
1399. #95C22×D73semidirect
1400. #95C22×D73semidirect
1401. #95C22×D73semidirect
1402. #95C22×D73semidirect
1403. #95C22×D73semidirect
1404. #95C22×D73semidirect
1957. C22#17989173semidirect

Maximal subgroups

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

subgroupindex
C2×#179891732
C22×C22⋊C4×D732
#226182192
#226182122
#226182092
#226182072
#226157372
#226157052
#226157032
#226156702
#226141832
#226141792
#226141742
#226141702
#226140622
#226140582
#226140552
#226140512
#226134662
#226134632
#226134612
#226134602
#226133992
#226133962
#226133902
#226125872
#226125842
#226125252
#226124322
C4×#145565592
C73×#24182
#3498873