Finite Group Databasebeta

← #33292721

Subgroups — #33292721

Order 18688.

4062 conjugacy classes of subgroups.

The subgroup lattice has 2148 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989169C211yesmaximal, characteristic, complemented
2C2×#120×D73C211yesmaximal, characteristic, complemented
3#22618207C211yesmaximal, characteristic, complemented
4#22618207C211yesmaximal, characteristic, complemented
5#22616321C211yesmaximal, characteristic, complemented
6#22616320C211yesmaximal, characteristic, complemented
7#22616319C211yesmaximal, characteristic, complemented
8#22616318C211yesmaximal, characteristic, complemented
9#22616259C211yesmaximal, characteristic, complemented
10#22616258C211yesmaximal, characteristic, complemented
11#22616257C211yesmaximal, characteristic, complemented
12#22616256C211yesmaximal, characteristic, complemented
13#22616159C211yesmaximal, characteristic, complemented
14#22616158C211yesmaximal, characteristic, complemented
15#22616156C211yesmaximal, characteristic, complemented
16#22616153C211yesmaximal, characteristic, complemented
17#22616144C211yesmaximal, characteristic, complemented
18#22616143C211yesmaximal, characteristic, complemented
19#22616142C211yesmaximal, characteristic, complemented
20#22615642C211yesmaximal, characteristic, complemented
21#22615642C211yesmaximal, characteristic, complemented
22#22615087C211yesmaximal, characteristic, complemented
23#22614856C211yesmaximal, characteristic, complemented
24#22614819C211yesmaximal, characteristic, complemented
25#22614816C211yesmaximal, characteristic, complemented
26#22613577C211yesmaximal, characteristic, complemented
27#22613565C211yesmaximal, characteristic, complemented
28#22613283C211yesmaximal, characteristic, complemented
29#22613280C211yesmaximal, characteristic, complemented
30#22612525C211yesmaximal, characteristic, complemented
31C73×#2669C211yesmaximal, characteristic, complemented
32C25×D73C2211yescharacteristic
33C22×D4×D73C2211yescharacteristic
34C22×D4×D73C2211yescharacteristic
35C22×D4×D73C2211yescharacteristic
36#17989169—28no—
37C2×#14556587C2211yescharacteristic, complemented
38C2×#14556586C2211yescharacteristic, complemented
39C2×#14556584C2211yescharacteristic, complemented
40C2×#14556578C2211yescharacteristic, complemented
41C2×#14556577C2211yescharacteristic, complemented
42C2×#14556577C2211yescharacteristic, complemented
43C2×#14556577C2211yescharacteristic, complemented
44C2×#14556574C2211yescharacteristic, complemented
45C2×#14556573C2211yescharacteristic, complemented
46C2×#14556573C2211yescharacteristic, complemented
47C2×#14556572C2211yescharacteristic, complemented
48C2×#14556569C2211yescharacteristic, complemented
49C2×#14556565C2211yescharacteristic, complemented
50C2×#14556563C2211yescharacteristic, complemented
51C2×#14556563C2211yescharacteristic, complemented
52C2×#14556563C2211yescharacteristic, complemented
53C2×#14556562C2211yescharacteristic, complemented
54C2×#14556561C2211yescharacteristic
55C2×#14556561C2211yescharacteristic
56C2×#14556561C2211yescharacteristic
57C2×#14556560C2211yescharacteristic
58C2×#14556559C2211yescharacteristic
59C2×#14556559C2211yescharacteristic
60C2×#14556559C2211yescharacteristic
61C2×#14556559C2211yescharacteristic
62C2×#14556559C2211yescharacteristic
63C2×#14556559C2211yescharacteristic
64C2×#14556559C2211yescharacteristic
65C2×#14556559C2211yescharacteristic
66C2×#14556559C2211yescharacteristic
67C2×#14556559C2211yescharacteristic, complemented
68C2×#14556559C2211yescharacteristic, complemented
69C2×#14556559C2211yescharacteristic, complemented
70C2×#14556559C2211yescharacteristic, complemented
71C2×#14556559C2211yescharacteristic, complemented
72C2×#14556559C2211yescharacteristic, complemented
73C2×#14556559C2211yescharacteristic, complemented
74C2×#14556559C2211yescharacteristic, complemented
75#120×D73—28no—
76C2×C4×C22⋊D73C2211yescharacteristic, complemented
77C2×#14556551C2211yescharacteristic, complemented
78C2×C22⋊C4×D73C2211yescharacteristic
79C2×C22⋊C4×D73C2211yescharacteristic
80C2×C22⋊C4×D73C2211yescharacteristic
81#17988524C2211yescharacteristic, complemented
82#17988523C2211yescharacteristic, complemented
83#17988516C2211yescharacteristic, complemented
84#17988515C2211yescharacteristic, complemented
85#17988511C2211yescharacteristic, complemented
86#17988510C2211yescharacteristic, complemented
87#17988510C2211yescharacteristic, complemented
88#17988509C2211yescharacteristic, complemented
89#17988505C2211yescharacteristic, complemented
90#17988505C2211yescharacteristic, complemented
91#17988505C2211yescharacteristic, complemented
92#17988505C2211yescharacteristic, complemented
93#17988504C2211yescharacteristic, complemented
94#17988503C2211yescharacteristic, complemented
95#17988503C2211yescharacteristic, complemented
96#17988503C2211yescharacteristic, complemented
97#17988503C2211yescharacteristic, complemented
98#17988503C2211yescharacteristic, complemented
99#17988502C2211yescharacteristic, complemented
100#17988502C2211yescharacteristic, complemented
101#17988502C2211yescharacteristic, complemented
102#17988501C2211yescharacteristic, complemented
103#17988501C2211yescharacteristic, complemented
104#17988501C2211yescharacteristic, complemented
105#17988501C2211yescharacteristic, complemented
106#17988501C2211yescharacteristic, complemented
107#17988500C2211yescharacteristic, complemented
108#17988499C2211yescharacteristic, complemented
109#17988496C2211yescharacteristic, complemented
110#17988496C2211yescharacteristic, complemented
111#17988496C2211yescharacteristic, complemented
112#17988495C2211yescharacteristic, complemented
113#17988495C2211yescharacteristic, complemented
114#17988495C2211yescharacteristic, complemented
115#17988495C2211yescharacteristic, complemented
116#17988495C2211yescharacteristic, complemented
117#17988495C2211yescharacteristic, complemented
118#17988495C2211yescharacteristic, complemented
119#17988495C2211yescharacteristic, complemented
120#17988495C2211yescharacteristic, complemented
121#17988495C2211yescharacteristic, complemented
122#17988495C2211yescharacteristic, complemented
123#17988490C2211yescharacteristic, complemented
124#17988490C2211yescharacteristic, complemented
125#17988490C2211yescharacteristic, complemented
126#17988490C2211yescharacteristic, complemented
127#17988489C2211yescharacteristic, complemented
128#17988488C2211yescharacteristic, complemented
129#17988487C2211yescharacteristic, complemented
130#17988487C2211yescharacteristic, complemented
131#17988487C2211yescharacteristic, complemented
132#17988487C2211yescharacteristic, complemented
133#17988487C2211yescharacteristic, complemented
134#17988487C2211yescharacteristic, complemented
135#17988481C2211yescharacteristic, complemented
136#17988481C2211yescharacteristic, complemented
137#17988480C2211yescharacteristic, complemented
138#17988480C2211yescharacteristic, complemented
139#17988479C2211yescharacteristic, complemented
140#17988479C2211yescharacteristic, complemented
141#17988478C2211yescharacteristic, complemented
142#17988478C2211yescharacteristic, complemented
143#17988477C2211yescharacteristic, complemented
144#17988477C2211yescharacteristic, complemented
145#17988476C2211yescharacteristic, complemented
146#17988476C2211yescharacteristic, complemented
147#17988475C2211yescharacteristic, complemented
148#17988475C2211yescharacteristic, complemented
149#17988467C2211yescharacteristic, complemented
150#17988466C2211yescharacteristic, complemented
151#17988464C2211yescharacteristic, complemented
152#17988449C2211yescharacteristic, complemented
153#17988449C2211yescharacteristic, complemented
154#17988446C2211yescharacteristic, complemented
155#17988444C2211yescharacteristic, complemented
156#17988443C2211yescharacteristic, complemented
157#17988443C2211yescharacteristic, complemented
158#17988442C2211yescharacteristic
159#17988442C2211yescharacteristic
160#17988442C2211yescharacteristic
161#17988442C2211yescharacteristic
162#17988442C2211yescharacteristic
163#17988442C2211yescharacteristic
164#17988442C2211yescharacteristic, complemented
165#17988442C2211yescharacteristic, complemented
166#17988442C2211yescharacteristic, complemented
167#17988442C2211yescharacteristic, complemented
168#17988442C2211yescharacteristic, complemented
169#17988442C2211yescharacteristic, complemented
170#17988442C2211yescharacteristic, complemented
171#17988442C2211yescharacteristic, complemented
172C4×#11924005C2211yescharacteristic, complemented
173#17988434C2211yescharacteristic, complemented
174C2×#127×C73C2211yescharacteristic, complemented
175C2×#121×C73C2211yescharacteristic, complemented
176C2×#121×C73C2211yescharacteristic, complemented
177C2×#120×C73C2211yescharacteristic
178C2×#120×C73C2211yescharacteristic, complemented
179C2×#120×C73C2211yescharacteristic, complemented
180#394×C73C2211yescharacteristic, complemented
181#394×C73C2211yescharacteristic, complemented
182#392×C73C2211yescharacteristic, complemented
183#392×C73C2211yescharacteristic, complemented
184#392×C73C2211yescharacteristic, complemented
185#392×C73C2211yescharacteristic, complemented
186#388×C73C2211yescharacteristic, complemented
187#388×C73C2211yescharacteristic, complemented
188#386×C73C2211yescharacteristic, complemented
189C24×D73—24no—
190C24×D73—42no—
191C24×D73—42no—
192C24×D73—42no—
193C24×D73—42no—
194C24×D73—42no—
195C24×D73—42no—
196C24×D73C2311yescharacteristic
197C24×D73C2311yescharacteristic
198C24×D73C2311yescharacteristic
199C24×D73C2311yescharacteristic
200C24×D73C2311yescharacteristic
201C24×D73C2311yescharacteristic
202C24×D73C2311yescharacteristic
203C22×Dic146C2311yescharacteristic, complemented
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
215C22×C22⋊D73C2311yescharacteristic
216C22×C22⋊D73C2311yescharacteristic
217C22×C22⋊D73C2311yescharacteristic
218C22×C22⋊D73C2311yescharacteristic
219C22×C22⋊D73C2311yescharacteristic
220C22×C22⋊D73C2311yescharacteristic
221C22×C22⋊D73C2311yescharacteristic, complemented
222C22×C22⋊D73C2311yescharacteristic, complemented
223C2×D4×D73—24no—
224C2×D4×D73—24no—
225C2×D4×D73—24no—
226C2×D4×D73—42no—
227C2×D4×D73—42no—
228C2×D4×D73—42no—
229C2×D4×D73—42no—
230C2×D4×D73—42no—
231C2×D4×D73—42no—
232C23×Dic73C2311yescharacteristic, complemented
233C22×C4×D73C2311yescharacteristic
234C22×C4×D73C2311yescharacteristic
235C22×C4×D73C2311yescharacteristic
236#14556587—42no—
237#14556586—24no—
238#14556584—24no—
239#14556578—24no—
240#14556577—24no—
241#14556577—42no—
242#14556577—42no—
243#14556574—24no—
244#14556573—42no—
245#14556573—42no—
246#14556572—24no—
247#14556569—24no—
248#14556565—42no—
249#14556563—24no—
250#14556563—42no—
251#14556563—42no—
252#14556562—24no—
253#14556561—24no—
254#14556561—24no—
255#14556561—24no—
256#14556560—24no—
257#14556559—24no—
258#14556559—24no—
259#14556559—24no—
260#14556559—24no—
261#14556559—24no—
262#14556559—42no—
263#14556559—42no—
264#14556559—42no—
265#14556559—42no—
266#14556559—42no—
267#14556559—42no—
268#14556559—42no—
269#14556559—42no—
270#14556559—42no—
271#14556559—42no—
272#14556559—42no—
273#14556559—42no—
274C4×C22⋊D73—24no—
275#14556551—24no—
276C2×C4⋊Dic73C2311yescharacteristic, complemented
277C2×C4⋊Dic73C2311yescharacteristic, complemented
278C2×C4⋊Dic73C2311yescharacteristic, complemented
279C2×C4⋊Dic73C2311yescharacteristic, complemented
280C2×#11924007C2311yescharacteristic, complemented
281C2×#11924007C2311yescharacteristic, complemented
282C2×#11924007C2311yescharacteristic, complemented
283C2×#11924007C2311yescharacteristic, complemented
284C2×#11924007C2311yescharacteristic, complemented
285C2×#11924007C2311yescharacteristic, complemented
286C2×#11924007C2311yescharacteristic, complemented
287C2×#11924007C2311yescharacteristic, complemented
288C2×C22⋊Dic73C2311yescharacteristic
289C2×C22⋊Dic73C2311yescharacteristic
290C2×C22⋊Dic73C2311yescharacteristic
291C2×C22⋊Dic73C2311yescharacteristic
292C2×C22⋊Dic73C2311yescharacteristic
293C2×C22⋊Dic73C2311yescharacteristic
294C2×C22⋊Dic73C2311yescharacteristic
295C2×C22⋊Dic73C2311yescharacteristic
296C2×C22⋊Dic73C2311yescharacteristic
297C2×C22⋊Dic73C2311yescharacteristic
298C2×C22⋊Dic73C2311yescharacteristic
299C2×C22⋊Dic73C2311yescharacteristic
300C2×C22⋊Dic73C2311yescharacteristic
301C2×C22⋊Dic73C2311yescharacteristic
302C2×C22⋊Dic73C2311yescharacteristic
303C2×C22⋊Dic73C2311yescharacteristic, complemented
304C2×C22⋊Dic73C2311yescharacteristic, complemented
305C2×C22⋊Dic73C2311yescharacteristic, complemented
306C2×C22⋊Dic73C2311yescharacteristic, complemented
307C2×C22⋊Dic73C2311yescharacteristic, complemented
308C2×C22⋊Dic73C2311yescharacteristic, complemented
309C2×C22⋊Dic73C2311yescharacteristic, complemented
310C2×C22⋊Dic73C2311yescharacteristic, complemented
311C2×C22⋊Dic73C2311yescharacteristic, complemented
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
328C2×#11924005C2311yescharacteristic
329C2×#11924005C2311yescharacteristic
330C2×#11924005C2311yescharacteristic
331C2×#11924005C2311yescharacteristic
332C2×#11924005C2311yescharacteristic
333C2×#11924005C2311yescharacteristic
334C2×#11924005C2311yescharacteristic
335C2×#11924005C2311yescharacteristic
336C2×#11924005C2311yescharacteristic
337C2×#11924005C2311yescharacteristic
338C2×#11924005C2311yescharacteristic
339C2×#11924005C2311yescharacteristic
340C2×#11924005C2311yescharacteristic
341C2×#11924005C2311yescharacteristic
342C2×#11924005C2311yescharacteristic, complemented
343C2×#11924005C2311yescharacteristic, complemented
344C2×#11924005C2311yescharacteristic, complemented
345C2×#11924005C2311yescharacteristic, complemented
346C2×#11924005C2311yescharacteristic, complemented
347C2×#11924005C2311yescharacteristic, complemented
348C22⋊C4×D73—24no—
349C22⋊C4×D73—24no—
350C22⋊C4×D73D418yescomplemented
351C2×C4×Dic73C2311yescharacteristic, complemented
352C2×C4×Dic73C2311yescharacteristic, complemented
353C2×C4×Dic73C2311yescharacteristic, complemented
354C2×C4×Dic73C2311yescharacteristic, complemented
355C2×C4×Dic73C2311yescharacteristic, 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
364#14556498C2311yescharacteristic, complemented
365#14556498C2311yescharacteristic, complemented
366#14556498C2311yescharacteristic, complemented
367#14556498C2311yescharacteristic, complemented
368C25×C73C2311yescharacteristic
369C22×D4×C73C2311yescharacteristic
370C22×D4×C73C2311yescharacteristic
371C22×D4×C73C2311yescharacteristic
372C22×D4×C73C2311yescharacteristic
373C22×D4×C73C2311yescharacteristic
374C22×D4×C73C2311yescharacteristic
375C22×D4×C73C2311yescharacteristic
376C22×D4×C73C2311yescharacteristic
377C22×D4×C73C2311yescharacteristic
378C22×D4×C73C2311yescharacteristic, complemented
379C22×D4×C73C2311yescharacteristic, complemented
380C22×D4×C73C2311yescharacteristic, complemented
381C23×C4×C73C2311yescharacteristic, complemented
382#127×C73—42no—
383#121×C73—24no—
384#121×C73—42no—
385#120×C73—24no—
386#120×C73—42no—
387#120×C73—42no—
388C2×C4⋊C4×C73C2311yescharacteristic, complemented
389C2×C4⋊C4×C73C2311yescharacteristic, complemented
390C2×C22⋊C4×C73C2311yescharacteristic
391C2×C22⋊C4×C73C2311yescharacteristic
392C2×C22⋊C4×C73C2311yescharacteristic
393C2×C22⋊C4×C73C2311yescharacteristic
394C2×C22⋊C4×C73C2311yescharacteristic
395C2×C22⋊C4×C73C2311yescharacteristic
396C2×C22⋊C4×C73C2311yescharacteristic
397C2×C22⋊C4×C73C2311yescharacteristic
398C2×C22⋊C4×C73C2311yescharacteristic
399C2×C22⋊C4×C73C2311yescharacteristic, complemented
400C2×C22⋊C4×C73C2311yescharacteristic, complemented
401C2×C22⋊C4×C73C2311yescharacteristic, complemented
402C2×C22⋊C4×C73C2311yescharacteristic, complemented
403C2×C22⋊C4×C73C2311yescharacteristic, complemented
404C2×C42×C73C2311yescharacteristic, complemented
405#95×C73C2311yescharacteristic, complemented
406#95×C73C2311yescharacteristic, complemented
407#95×C73C2311yescharacteristic, complemented
408#95×C73C2311yescharacteristic, complemented
409C23×D73—22no—
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—22no—
430C23×D73—22no—
431C23×D73—22no—
432C23×D73—22no—
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—41no—
444C23×D73—41no—
445C23×D73—41no—
446C23×D73—41no—
447C23×D73—41no—
448C23×D73—41no—
449C23×D73—41no—
450C23×D73—41no—
451C23×D73—41no—
452C23×D73—41no—
453C23×D73—41no—
454C23×D73—41no—
455C23×D73—41no—
456C23×D73—41no—
457C23×D73—416no—
458C23×D73—416no—
459C23×D73—416no—
460C23×D73—416no—
461C23×D73—416no—
462C23×D73—416no—
463C23×D73—416no—
464C23×D73C2×D414yes—
465C23×D73C2411yescharacteristic
466C23×D73C2411yescharacteristic
467C23×D73C2411yescharacteristic
468C23×D73C2411yescharacteristic
469C23×D73C2411yescharacteristic
470C2×Dic146—22no—
471C2×Dic146—41no—
472C2×Dic146—41no—
473C2×D292—22no—
474C2×D292—22no—
475C2×D292—22no—
476C2×D292—22no—
477C2×D292—22no—
478C2×D292—41no—
479C2×D292—41no—
480C2×D292—41no—
481C2×D292—41no—
482C2×C22⋊D73—22no—
483C2×C22⋊D73—22no—
484C2×C22⋊D73—22no—
485C2×C22⋊D73—22no—
486C2×C22⋊D73—22no—
487C2×C22⋊D73—22no—
488C2×C22⋊D73—22no—
489C2×C22⋊D73—22no—
490C2×C22⋊D73—22no—
491C2×C22⋊D73—22no—
492C2×C22⋊D73—22no—
493C2×C22⋊D73—22no—
494C2×C22⋊D73—22no—
495C2×C22⋊D73—22no—
496C2×C22⋊D73—22no—
497C2×C22⋊D73—22no—
498C2×C22⋊D73—22no—
499C2×C22⋊D73—22no—
500C2×C22⋊D73—22no—
501C2×C22⋊D73—22no—
502C2×C22⋊D73—22no—
503C2×C22⋊D73—22no—
504C2×C22⋊D73—41no—
505C2×C22⋊D73—41no—
506C2×C22⋊D73—41no—
507C2×C22⋊D73—41no—
508C2×C22⋊D73—41no—
509C2×C22⋊D73—41no—
510C2×C22⋊D73—41no—
511C2×C22⋊D73—41no—
512C2×C22⋊D73—41no—
513C2×C22⋊D73—41no—
514C2×C22⋊D73—41no—
515C2×C22⋊D73—41no—
516C2×C22⋊D73—41no—
517C2×C22⋊D73—41no—
518C2×C22⋊D73—41no—
519C2×C22⋊D73—41no—
520C2×C22⋊D73—41no—
521C2×C22⋊D73—41no—
522C2×C22⋊D73—41no—
523C2×C22⋊D73—41no—
524C2×C22⋊D73—41no—
525C2×C22⋊D73—41no—
526C2×C22⋊D73—41no—
527C2×C22⋊D73—41no—
528C2×C22⋊D73—41no—
529C2×C22⋊D73—41no—
530D4×D73—416no—
531D4×D73—416no—
532D4×D73—416no—
533C22×Dic73—22no—
534C22×Dic73—41no—
535C22×Dic73—41no—
536C22×Dic73C2411yescharacteristic
537C22×Dic73C2411yescharacteristic
538C22×Dic73C2411yescharacteristic
539C22×Dic73C2411yescharacteristic
540C22×Dic73C2411yescharacteristic
541C22×Dic73C2411yescharacteristic
542C22×Dic73C2411yescharacteristic
543C22×Dic73C2411yescharacteristic
544C22×Dic73C2411yescharacteristic
545C22×Dic73C2411yescharacteristic
546C22×Dic73C2411yescharacteristic
547C2×C4×D73—22no—
548C2×C4×D73—22no—
549C2×C4×D73—22no—
550C2×C4×D73—41no—
551C2×C4×D73—41no—
552C2×C4×D73—41no—
553C2×C4×D73—41no—
554C2×C4×D73C2×D414yes—
555C2×C4×D73C2×D414yes—
556C4⋊Dic73—22no—
557C4⋊Dic73—41no—
558C4⋊Dic73—41no—
559C4⋊Dic73—41no—
560#11924007—22no—
561#11924007—22no—
562#11924007—22no—
563#11924007—22no—
564#11924007—41no—
565#11924007—41no—
566#11924007—41no—
567#11924007—41no—
568C22⋊Dic73—22no—
569C22⋊Dic73—22no—
570C22⋊Dic73—22no—
571C22⋊Dic73—22no—
572C22⋊Dic73—22no—
573C22⋊Dic73—22no—
574C22⋊Dic73—22no—
575C22⋊Dic73—22no—
576C22⋊Dic73—22no—
577C22⋊Dic73—41no—
578C22⋊Dic73—41no—
579C22⋊Dic73—41no—
580C22⋊Dic73—41no—
581C22⋊Dic73—41no—
582C22⋊Dic73—41no—
583C22⋊Dic73—41no—
584C22⋊Dic73—41no—
585C22⋊Dic73—41no—
586C22⋊Dic73—41no—
587C22⋊Dic73—41no—
588C22⋊Dic73—41no—
589C22⋊Dic73—41no—
590C22⋊Dic73—41no—
591C22⋊Dic73C2×D414yes—
592#11924005—22no—
593#11924005—22no—
594#11924005—22no—
595#11924005—22no—
596#11924005—22no—
597#11924005—22no—
598#11924005—22no—
599#11924005—22no—
600#11924005—22no—
601#11924005—22no—
602#11924005—22no—
603#11924005—22no—
604#11924005—22no—
605#11924005—22no—
606#11924005—22no—
607#11924005—22no—
608#11924005—41no—
609#11924005—41no—
610#11924005—41no—
611#11924005—41no—
612#11924005—41no—
613#11924005—41no—
614#11924005—41no—
615#11924005—41no—
616#11924005—41no—
617#11924005—41no—
618#11924005—41no—
619#11924005—41no—
620#11924005—41no—
621#11924005—41no—
622#11924005—41no—
623#11924005—41no—
624#11924005—41no—
625#11924005—41no—
626#11924005C2×D414yes—
627#11924005C2×D414yes—
628C4×Dic73—22no—
629C4×Dic73—22no—
630C4×Dic73—41no—
631C4×Dic73—41no—
632C4×Dic73—41no—
633C24×C73—22no—
634C24×C73—22no—
635C24×C73—22no—
636C24×C73—41no—
637C24×C73—41no—
638C24×C73—41no—
639C24×C73—41no—
640C24×C73C2411yescharacteristic
641C24×C73C2411yescharacteristic
642C24×C73C2411yescharacteristic
643C24×C73C2411yescharacteristic
644C24×C73C2411yescharacteristic
645C24×C73C2411yescharacteristic
646C2×D4×C73—22no—
647C2×D4×C73—22no—
648C2×D4×C73—22no—
649C2×D4×C73—22no—
650C2×D4×C73—22no—
651C2×D4×C73—22no—
652C2×D4×C73—22no—
653C2×D4×C73—22no—
654C2×D4×C73—22no—
655C2×D4×C73—22no—
656C2×D4×C73—22no—
657C2×D4×C73—22no—
658C2×D4×C73—41no—
659C2×D4×C73—41no—
660C2×D4×C73—41no—
661C2×D4×C73—41no—
662C2×D4×C73—41no—
663C2×D4×C73—41no—
664C2×D4×C73—41no—
665C2×D4×C73—41no—
666C2×D4×C73—41no—
667C2×D4×C73—41no—
668C2×D4×C73—41no—
669C2×D4×C73—41no—
670C2×D4×C73—41no—
671C2×D4×C73—41no—
672C2×D4×C73—41no—
673C2×D4×C73—41no—
674C2×D4×C73—41no—
675C2×D4×C73—41no—
676C2×D4×C73—41no—
677C2×D4×C73—41no—
678C2×D4×C73—41no—
679C2×D4×C73—41no—
680C2×D4×C73—41no—
681C2×D4×C73—41no—
682C22×C4×C73—22no—
683C22×C4×C73—41no—
684C22×C4×C73—41no—
685C22×C4×C73C2411yescharacteristic
686C22×C4×C73C2411yescharacteristic
687C22×C4×C73C2411yescharacteristic
688C22×C4×C73C2411yescharacteristic
689C22×C4×C73C2411yescharacteristic
690C22×C4×C73C2411yescharacteristic
691C22×C4×C73C2411yescharacteristic
692C22×C4×C73C2411yescharacteristic
693C22×C4×C73C2411yescharacteristic
694C4⋊C4×C73—22no—
695C4⋊C4×C73—41no—
696C22⋊C4×C73—22no—
697C22⋊C4×C73—22no—
698C22⋊C4×C73—22no—
699C22⋊C4×C73—22no—
700C22⋊C4×C73—22no—
701C22⋊C4×C73—41no—
702C22⋊C4×C73—41no—
703C22⋊C4×C73—41no—
704C22⋊C4×C73—41no—
705C22⋊C4×C73—41no—
706C22⋊C4×C73—41no—
707C22⋊C4×C73—41no—
708C22⋊C4×C73—41no—
709C22⋊C4×C73C2×D414yes—
710C42×C73—41no—
711C23×C73—21no—
712C23×C73—21no—
713C23×C73—21no—
714C23×C73—21no—
715C23×C73—21no—
716C23×C73—21no—
717C23×C73—21no—
718C23×C73—21no—
719C23×C73—21no—
720C23×C73—21no—
721C23×C73—21no—
722C23×C73—21no—
723C23×C73—21no—
724C23×C73—21no—
725C23×C73—21no—
726C23×C73—21no—
727C23×C73—21no—
728C23×C73—21no—
729C23×C73—21no—
730C23×C73—21no—
731C23×C73—21no—
732C23×C73—21no—
733C23×C73—21no—
734C23×C73—21no—
735C23×C73—21no—
736C23×C73—21no—
737C23×C73—21no—
738C23×C73—21no—
739C23×C73—21no—
740C23×C73—21no—
741C23×C73—21no—
742C23×C73—21no—
743C23×C73—21no—
744C23×C73—21no—
745C23×C73—21no—
746C23×C73—21no—
747C23×C73—21no—
748C23×C73—21no—
749C23×C73—21no—
750C23×C73—44no—
751C23×C73—44no—
752C23×C73—44no—
753C23×C73—44no—
754C23×C73—44no—
755C23×C73—44no—
756C23×C73—44no—
757C23×C73C22×D412yes—
758C23×C73H(5,𝔽2)12yes—
759C23×C73H(5,𝔽2)12yes—
760C23×C73C2511yescharacteristic
761C22×D73—21no—
762C22×D73—21no—
763C22×D73—21no—
764C22×D73—21no—
765C22×D73—28no—
766C22×D73—28no—
767C22×D73—21no—
768C22×D73—21no—
769C22×D73—21no—
770C22×D73—21no—
771C22×D73—21no—
772C22×D73—21no—
773C22×D73—21no—
774C22×D73—21no—
775C22×D73—21no—
776C22×D73—21no—
777C22×D73—21no—
778C22×D73—21no—
779C22×D73—21no—
780C22×D73—21no—
781C22×D73—21no—
782C22×D73—21no—
783C22×D73—21no—
784C22×D73—21no—
785C22×D73—28no—
786C22×D73—21no—
787C22×D73—21no—
788C22×D73—21no—
789C22×D73—21no—
790C22×D73—21no—
791C22×D73—21no—
792C22×D73—21no—
793C22×D73—44no—
794C22×D73—44no—
795C22×D73—44no—
796C22×D73—44no—
797C22×D73—44no—
798C22×D73—44no—
799C22×D73—44no—
800C22×D73—44no—
801C22×D73—44no—
802C22×D73—44no—
803C22×D73—44no—
804C22×D73—44no—
805C22×D73—44no—
806C22×D73—44no—
807C22×D73—44no—
808C22×D73—44no—
809C22×D73—44no—
810C22×D73—44no—
811C22×D73—44no—
812C22×D73—44no—
813C22×D73—44no—
814C22×D73—44no—
815C22×D73—44no—
816C22×D73—44no—
817C22×D73—44no—
818C22×D73—44no—
819C22×D73—44no—
820C22×D73—44no—
821C22×D73—44no—
822C22×D73—44no—
823C22×D73—44no—
824C22×D73—44no—
825C22×D73—44no—
826C22×D73—44no—
827C22×D73—44no—
828C22×D73—44no—
829C22×D73—4128no—
830C22×D73—44no—
831C22×D73—44no—
832C22×D73—44no—
833C22×D73—44no—
834C22×D73—44no—
835C22×D73—44no—
836C22×D73—82no—
837C22×D73—82no—
838C22×D73—82no—
839C22×D73—82no—
840C22×D73C22×D412yes—
841C22×D73C22×D412yes—
842C22×D73H(5,𝔽2)12yes—
843C22×D73H(5,𝔽2)12yes—
844C22×D73H(5,𝔽2)12yes—
845C22×D73H(5,𝔽2)12yes—
846D4×C73—44no—
847D4×C73—44no—
848D4×C73—44no—
849D4×C73—82no—
850D4×C73—82no—
851D4×C73—82no—
852D4×C73—82no—
853D4×C73—82no—
854D4×C73—82no—
855D4×C73—82no—
856D4×C73—82no—
857D4×C73—82no—
858C2×C4×C73—21no—
859C2×C4×C73—21no—
860C2×C4×C73—21no—
861C2×C4×C73—21no—
862C2×C4×C73—21no—
863C2×C4×C73—21no—
864C2×C4×C73—21no—
865C2×C4×C73—21no—
866C2×C4×C73—21no—
867C2×C4×C73—21no—
868C2×C4×C73—21no—
869C2×C4×C73—21no—
870C2×C4×C73—21no—
871C2×C4×C73—21no—
872C2×C4×C73—21no—
873C2×C4×C73—21no—
874C2×C4×C73—21no—
875C2×C4×C73—21no—
876C2×C4×C73—21no—
877C2×C4×C73—21no—
878C2×C4×C73—21no—
879C2×C4×C73—21no—
880C2×C4×C73—21no—
881C2×C4×C73—21no—
882C2×C4×C73—21no—
883C2×C4×C73—82no—
884C2×C4×C73C22×D412yes—
885C2×C4×C73C22×D412yes—
886C22⋊D73—44no—
887C22⋊D73—44no—
888C22⋊D73—44no—
889C22⋊D73—44no—
890C22⋊D73—44no—
891C22⋊D73—44no—
892C22⋊D73—44no—
893C22⋊D73—44no—
894C22⋊D73—82no—
895C22⋊D73—82no—
896C22⋊D73—82no—
897C22⋊D73—82no—
898C22⋊D73—82no—
899C22⋊D73—82no—
900C22⋊D73—82no—
901C22⋊D73—82no—
902C2×Dic73—21no—
903C2×Dic73—21no—
904C2×Dic73—21no—
905C2×Dic73—21no—
906C2×Dic73—21no—
907C2×Dic73—21no—
908C2×Dic73—21no—
909C2×Dic73—21no—
910C2×Dic73—21no—
911C2×Dic73—21no—
912C2×Dic73—21no—
913C2×Dic73—21no—
914C2×Dic73—21no—
915C2×Dic73—21no—
916C2×Dic73—21no—
917C2×Dic73—21no—
918C2×Dic73—21no—
919C2×Dic73—21no—
920C2×Dic73—21no—
921C2×Dic73—21no—
922C2×Dic73—21no—
923C2×Dic73—21no—
924C2×Dic73—21no—
925C2×Dic73—21no—
926C2×Dic73—21no—
927C2×Dic73—21no—
928C2×Dic73—21no—
929C2×Dic73—21no—
930C2×Dic73—21no—
931C2×Dic73—21no—
932C2×Dic73—21no—
933C2×Dic73—82no—
934C2×Dic73C22×D412yes—
935C2×Dic73C22×D412yes—
936D292—44no—
937D292—44no—
938D292—44no—
939C4×D73—44no—
940C4×D73—44no—
941C4×D73—44no—
942Dic146—82no—
943C22×C73—22no—
944C22×C73—22no—
945C22×C73—22no—
946C22×C73—22no—
947C22×C73—22no—
948C22×C73—22no—
949C22×C73—22no—
950C22×C73—22no—
951C22×C73—22no—
952C22×C73—416no—
953C22×C73—41no—
954C22×C73—41no—
955C22×C73—41no—
956C22×C73—41no—
957C22×C73—41no—
958C22×C73—41no—
959C22×C73—41no—
960C22×C73—41no—
961C22×C73—41no—
962C22×C73—41no—
963C22×C73—41no—
964C22×C73—41no—
965C22×C73—41no—
966C22×C73—41no—
967C22×C73—41no—
968C22×C73—41no—
969C22×C73—41no—
970C22×C73—41no—
971C22×C73—41no—
972C22×C73—41no—
973C22×C73—41no—
974C22×C73—41no—
975C22×C73—41no—
976C22×C73—41no—
977C22×C73—41no—
978C22×C73—41no—
979C22×C73—41no—
980C22×C73—41no—
981C22×C73—41no—
982C22×C73—41no—
983C22×C73—41no—
984C22×C73—41no—
985C22×C73—41no—
986C22×C73C23×D411yescharacteristic
987C22×C73C2×H(5,𝔽2)11yescharacteristic
988C22×C73C2×H(5,𝔽2)11yescharacteristic
989C22×C73C2×H(5,𝔽2)11yescharacteristic
990C22×C73C2×H(5,𝔽2)11yescharacteristic
991C22×C73C2×H(5,𝔽2)11yescharacteristic
992C22×C73C2×H(5,𝔽2)11yescharacteristic
993C2×D73—22no—
994C2×D73—22no—
995C2×D73—22no—
996C2×D73—22no—
997C2×D73—22no—
998C2×D73—22no—
999C2×D73—22no—
1000C2×D73—22no—
1001C2×D73—22no—
1002C2×D73—22no—
1003C2×D73—22no—
1004C2×D73—22no—
1005C2×D73—22no—
1006C2×D73—22no—
1007C2×D73—22no—
1008C2×D73—416no—
1009C2×D73—416no—
1010C2×D73—416no—
1011C2×D73—416no—
1012C2×D73—416no—
1013C2×D73—416no—
1014C2×D73—41no—
1015C2×D73—41no—
1016C2×D73—41no—
1017C2×D73—41no—
1018C2×D73—41no—
1019C2×D73—41no—
1020C2×D73—41no—
1021C2×D73—41no—
1022C2×D73—41no—
1023C2×D73—41no—
1024C2×D73—41no—
1025C2×D73—41no—
1026C2×D73—41no—
1027C2×D73—41no—
1028C2×D73—41no—
1029C2×D73—41no—
1030C2×D73—41no—
1031C2×D73—41no—
1032C2×D73—41no—
1033C2×D73—88no—
1034C2×D73#53514yes—
1035C4×C73—22no—
1036C4×C73—22no—
1037C4×C73—41no—
1038C4×C73—41no—
1039C4×C73—41no—
1040C4×C73—41no—
1041C4×C73—41no—
1042C4×C73—41no—
1043C4×C73—41no—
1044Dic73—22no—
1045Dic73—22no—
1046Dic73—41no—
1047Dic73—41no—
1048Dic73—41no—
1049Dic73—41no—
1050Dic73—41no—
1051Dic73—41no—
1052Dic73—41no—
1053Dic73—41no—
1054Dic73—41no—
1055#36703—731nomaximal, Sylow
1056C2×C73—42no—
1057C2×C73—42no—
1058C2×C73—42no—
1059C2×C73—81no—
1060C2×C73—81no—
1061C2×C73—81no—
1062C2×C73C2×#53511yescharacteristic
1063C2×C73#348411yescharacteristic
1064C2×C73#348411yescharacteristic
1065C2×C73#353211yescharacteristic
1066C2×C73#353211yescharacteristic
1067C2×C73#353211yescharacteristic
1068C2×C73#353211yescharacteristic
1069D73—24no—
1070D73—42no—
1071D73—42no—
1072D73—42no—
1073D73—81no—
1074C2×#538—731no—
1075C22×#120—731no—
1076#2846—731no—
1077#2846—731no—
1078#2685—731no—
1079#2685—731no—
1080#2685—731no—
1081#2685—731no—
1082#2678—731no—
1083#2678—731no—
1084#2678—731no—
1085#2678—731no—
1086#2670—731no—
1087#2670—731no—
1088#2670—731no—
1089#2670—731no—
1090#2669—731no—
1091#2669—731no—
1092#2669—731no—
1093#2669D7311yescharacteristic, complemented
1094#2613—731no—
1095#2613—731no—
1096#2561—731no—
1097#2539—731no—
1098#2534—731no—
1099#2534—731no—
1100#2435—731no—
1101#2433—731no—
1102#2408—731no—
1103#2408—731no—
1104#2312—731no—
1105C73#3670311yescharacteristic, complemented, Sylow
1106C26—731no—
1107C23×D4—731no—
1108C23×D4—731no—
1109C23×D4—731no—
1110#538—1468no—
1111C2×#127—731no—
1112C2×#127C2×D7311yescharacteristic, complemented
1113C2×#126—731no—
1114C2×#126—731no—
1115C2×#124—731no—
1116C2×#124—731no—
1117C2×#124—731no—
1118C2×#124—731no—
1119C2×#123—731no—
1120C2×#123—731no—
1121C2×#123—731no—
1122C2×#123—731no—
1123C2×C22⋊Q8—731no—
1124C2×#121—731no—
1125C2×#121—731no—
1126C2×#121—731no—
1127C2×#121—731no—
1128C2×#121—731no—
1129C2×#121C2×D7311yescharacteristic, complemented
1130C2×#121C2×D7311yescharacteristic, complemented
1131C2×#120—731no—
1132C2×#120—731no—
1133C2×#120—731no—
1134C2×#120—731no—
1135C2×#120—731no—
1136C2×#120—731no—
1137C2×#120—731no—
1138C2×#120—731no—
1139C2×#120—731no—
1140C2×#120—731no—
1141C2×#120—731no—
1142C2×#120—731no—
1143C2×#120—731no—
1144C2×#120—731no—
1145C2×#120—731no—
1146C2×#120—731no—
1147C2×#120—731no—
1148C2×#120—731no—
1149C2×#120—731no—
1150C2×#120—731no—
1151C2×#120—731no—
1152C2×#120—1468no—
1153C2×#120C2×D7311yescharacteristic
1154C2×#120C2×D7311yescharacteristic, complemented
1155C2×#120C2×D7311yescharacteristic, complemented
1156C2×C4×D4—731no—
1157C2×C4×D4—731no—
1158C22×C22⋊C4—731no—
1159C22×C22⋊C4—731no—
1160C22×C22⋊C4—731no—
1161#399—731no—
1162#399—731no—
1163#397—731no—
1164#397—731no—
1165#396—731no—
1166#396—731no—
1167#396—731no—
1168#396—731no—
1169#394—731no—
1170#394—731no—
1171#394—731no—
1172#394—731no—
1173#394—731no—
1174#394—731no—
1175#394—731no—
1176#394—731no—
1177#394—731no—
1178#394—731no—
1179#394—731no—
1180#394—731no—
1181#394—731no—
1182#394—731no—
1183#394—731no—
1184#394—731no—
1185#394—731no—
1186#394—731no—
1187#394C2×D7311yescharacteristic, complemented
1188#394C2×D7311yescharacteristic, complemented
1189#393—731no—
1190#393—731no—
1191#392—731no—
1192#392—731no—
1193#392—731no—
1194#392—731no—
1195#392—731no—
1196#392—731no—
1197#392—731no—
1198#392—731no—
1199#392—731no—
1200#392—731no—
1201#392—731no—
1202#392—731no—
1203#392—731no—
1204#392—731no—
1205#392C2×D7311yescharacteristic, complemented
1206#392C2×D7311yescharacteristic, complemented
1207#392C2×D7311yescharacteristic, complemented
1208#392C2×D7311yescharacteristic, complemented
1209#390—731no—
1210#390—731no—
1211#390—731no—
1212#390—731no—
1213#390—731no—
1214#390—731no—
1215#390—731no—
1216#390—731no—
1217#390—731no—
1218#390—731no—
1219#390—731no—
1220#390—731no—
1221#388—731no—
1222#388—731no—
1223#388—731no—
1224#388—731no—
1225#388—731no—
1226#388—731no—
1227#388—731no—
1228#388—731no—
1229#388—731no—
1230#388—731no—
1231#388—731no—
1232#388—731no—
1233#388—731no—
1234#388—731no—
1235#388C2×D7311yescharacteristic, complemented
1236#388C2×D7311yescharacteristic, complemented
1237#386—731no—
1238#386—731no—
1239#386—731no—
1240#386C2×D7311yescharacteristic, complemented
1241#381—731no—
1242#381—731no—
1243#380—731no—
1244#380—731no—
1245#379—731no—
1246#379—731no—
1247#379—731no—
1248#379—731no—
1249#379—731no—
1250#379—731no—
1251#379—731no—
1252#379—731no—
1253#379—731no—
1254#379—731no—
1255#379—731no—
1256#379—731no—
1257#379—731no—
1258#379—731no—
1259#379—731no—
1260#379—731no—
1261C4×C22⋊C4—731no—
1262C4×C22⋊C4—731no—
1263C25—2922no—
1264C25—2922no—
1265C25—2922no—
1266C25—2922no—
1267C25—2922no—
1268C25—2922no—
1269C25—731no—
1270C25—731no—
1271C25—731no—
1272C25—731no—
1273C25—731no—
1274C25—731no—
1275C25—731no—
1276C25—1464no—
1277C25C22×D7311yescharacteristic
1278C22×Q8—731no—
1279C22×D4—2922no—
1280C22×D4—2922no—
1281C22×D4—2922no—
1282C22×D4—2922no—
1283C22×D4—2922no—
1284C22×D4—2922no—
1285C22×D4—731no—
1286C22×D4—731no—
1287C22×D4—731no—
1288C22×D4—731no—
1289C22×D4—731no—
1290C22×D4—731no—
1291C22×D4—731no—
1292C22×D4—731no—
1293C22×D4—731no—
1294C22×D4—731no—
1295C22×D4—731no—
1296C22×D4—731no—
1297C22×D4—731no—
1298C22×D4—731no—
1299C22×D4—731no—
1300C22×D4—731no—
1301C22×D4—731no—
1302C22×D4—731no—
1303C22×D4—731no—
1304C22×D4—1464no—
1305C22×D4—1464no—
1306C22×D4—1464no—
1307C22×D4C22×D7311yescharacteristic
1308C22×D4C22×D7311yescharacteristic
1309C22×D4C22×D7311yescharacteristic
1310C22×D4C22×D7311yescharacteristic
1311C22×D4C22×D7311yescharacteristic
1312C22×D4C22×D7311yescharacteristic
1313C22×D4C22×D7311yescharacteristic
1314C22×D4C22×D7311yescharacteristic
1315C22×D4C22×D7311yescharacteristic
1316C22×D4C22×D7311yescharacteristic, complemented
1317C22×D4C22×D7311yescharacteristic, complemented
1318C22×D4C22×D7311yescharacteristic, complemented
1319C23×C4—731no—
1320C23×C4—731no—
1321C23×C4—731no—
1322C23×C4—731no—
1323C23×C4C22×D7311yescharacteristic, complemented
1324#127—42no—
1325#127—2922no—
1326#126—1464no—
1327#126—1464no—
1328#124—2922no—
1329#124—2922no—
1330#124—1464no—
1331#124—1464no—
1332#123—2922no—
1333#123—2922no—
1334#123—1464no—
1335#123—1464no—
1336C22⋊Q8—1464no—
1337#121—24no—
1338#121—42no—
1339#121—2922no—
1340#121—2922no—
1341#121—2922no—
1342#121—1464no—
1343#121—1464no—
1344#120—24no—
1345#120—42no—
1346#120—42no—
1347#120—2922no—
1348#120—2922no—
1349#120—2922no—
1350#120—2922no—
1351#120—2922no—
1352#120—2922no—
1353#120—2922no—
1354#120—2922no—
1355#120—2922no—
1356#120—2922no—
1357#120—2922no—
1358#120—2922no—
1359#120—1464no—
1360#120—1464no—
1361#120—1464no—
1362#120—1464no—
1363#120—1464no—
1364#120—1464no—
1365#120—1464no—
1366#120—1464no—
1367#120—1464no—
1368C4×D4—1464no—
1369C4×D4—1464no—
1370C2×C4⋊C4—731no—
1371C2×C4⋊C4—731no—
1372C2×C4⋊C4—731no—
1373C2×C4⋊C4—731no—
1374C2×C4⋊C4—731no—
1375C2×C4⋊C4—731no—
1376C2×C4⋊C4—731no—
1377C2×C4⋊C4—731no—
1378C2×C4⋊C4—731no—
1379C2×C4⋊C4—731no—
1380C2×C4⋊C4—731no—
1381C2×C4⋊C4—731no—
1382C2×C4⋊C4C22×D7311yescharacteristic, complemented
1383C2×C4⋊C4C22×D7311yescharacteristic, complemented
1384C2×C22⋊C4—731no—
1385C2×C22⋊C4—731no—
1386C2×C22⋊C4—731no—
1387C2×C22⋊C4—731no—
1388C2×C22⋊C4—731no—
1389C2×C22⋊C4—731no—
1390C2×C22⋊C4—731no—
1391C2×C22⋊C4—731no—
1392C2×C22⋊C4—731no—
1393C2×C22⋊C4—731no—
1394C2×C22⋊C4—731no—
1395C2×C22⋊C4—731no—
1396C2×C22⋊C4—731no—
1397C2×C22⋊C4—731no—
1398C2×C22⋊C4—731no—
1399C2×C22⋊C4—731no—
1400C2×C22⋊C4—731no—
1401C2×C22⋊C4—731no—
1402C2×C22⋊C4—731no—
1403C2×C22⋊C4—731no—
1404C2×C22⋊C4—731no—
1405C2×C22⋊C4—731no—
1406C2×C22⋊C4—731no—
1407C2×C22⋊C4—731no—
1408C2×C22⋊C4—731no—
1409C2×C22⋊C4—731no—
1410C2×C22⋊C4—731no—
1411C2×C22⋊C4—731no—
1412C2×C22⋊C4—731no—
1413C2×C22⋊C4—731no—
1414C2×C22⋊C4—731no—
1415C2×C22⋊C4—731no—
1416C2×C22⋊C4—731no—
1417C2×C22⋊C4—731no—
1418C2×C22⋊C4—731no—
1419C2×C22⋊C4—738no—
1420C2×C22⋊C4—731no—
1421C2×C22⋊C4—731no—
1422C2×C22⋊C4—731no—
1423C2×C22⋊C4—731no—
1424C2×C22⋊C4—731no—
1425C2×C22⋊C4—731no—
1426C2×C22⋊C4—731no—
1427C2×C22⋊C4—731no—
1428C2×C22⋊C4—731no—
1429C2×C22⋊C4—731no—
1430C2×C22⋊C4—731no—
1431C2×C22⋊C4—731no—
1432C2×C22⋊C4—731no—
1433C2×C22⋊C4—731no—
1434C2×C22⋊C4—731no—
1435C2×C22⋊C4—731no—
1436C2×C22⋊C4—731no—
1437C2×C22⋊C4—731no—
1438C2×C22⋊C4—731no—
1439C2×C22⋊C4—731no—
1440C2×C22⋊C4—731no—
1441C2×C22⋊C4—731no—
1442C2×C22⋊C4—731no—
1443C2×C22⋊C4—731no—
1444C2×C22⋊C4—731no—
1445C2×C22⋊C4—1464no—
1446C2×C22⋊C4—1464no—
1447C2×C22⋊C4C22×D7311yescharacteristic
1448C2×C22⋊C4C22×D7311yescharacteristic
1449C2×C22⋊C4C22×D7311yescharacteristic
1450C2×C22⋊C4C22×D7311yescharacteristic
1451C2×C22⋊C4C22×D7311yescharacteristic
1452C2×C22⋊C4C22×D7311yescharacteristic
1453C2×C22⋊C4C22×D7311yescharacteristic
1454C2×C22⋊C4C22×D7311yescharacteristic
1455C2×C22⋊C4C22×D7311yescharacteristic
1456C2×C22⋊C4C22×D7311yescharacteristic, complemented
1457C2×C22⋊C4C22×D7311yescharacteristic, complemented
1458C2×C22⋊C4C22×D7311yescharacteristic, complemented
1459C2×C22⋊C4C22×D7311yescharacteristic, complemented
1460C2×C22⋊C4C22×D7311yescharacteristic, complemented
1461C2×C42—731no—
1462C2×C42—731no—
1463C2×C42—731no—
1464C2×C42—731no—
1465C2×C42—731no—
1466C2×C42C22×D7311yescharacteristic, complemented
1467#95—731no—
1468#95—731no—
1469#95—731no—
1470#95—731no—
1471#95—731no—
1472#95—731no—
1473#95—731no—
1474#95—731no—
1475#95—731no—
1476#95—731no—
1477#95—731no—
1478#95—731no—
1479#95C22×D7311yescharacteristic, complemented
1480#95C22×D7311yescharacteristic, complemented
1481#95C22×D7311yescharacteristic, complemented
1482#95C22×D7311yescharacteristic, complemented
1483C24—22no—
1484C24—22no—
1485C24—22no—
1486C24—41no—
1487C24—41no—
1488C24—41no—
1489C24—41no—
1490C24—2921no—
1491C24—2921no—
1492C24—2921no—
1493C24—2921no—
1494C24—2921no—
1495C24—2921no—
1496C24—2921no—
1497C24—2921no—
1498C24—2921no—
1499C24—2921no—
1500C24—2921no—
1501C24—2921no—
1502C24—2921no—
1503C24—2921no—
1504C24—2921no—
1505C24—2921no—
1506C24—2921no—
1507C24—2921no—
1508C24—2921no—
1509C24—2921no—
1510C24—2921no—
1511C24—2921no—
1512C24—2921no—
1513C24—2921no—
1514C24—29216no—
1515C24—29216no—
1516C24—29216no—
1517C24—29216no—
1518C24—29216no—
1519C24—29216no—
1520C24—29216no—
1521C24—734no—
1522C24—731no—
1523C24—731no—
1524C24—731no—
1525C24—731no—
1526C24—731no—
1527C24—1462no—
1528C24—1462no—
1529C24—1462no—
1530C24—1462no—
1531C24—1462no—
1532C24—1462no—
1533C24—1462no—
1534C24—1462no—
1535C24—1462no—
1536C24—1462no—
1537C24—1462no—
1538C24—1462no—
1539C24—1462no—
1540C24—1462no—
1541C24—1462no—
1542C24—1462no—
1543C24—1462no—
1544C24—1462no—
1545C24—1462no—
1546C24—1462no—
1547C24—1462no—
1548C24—1462no—
1549C24—1462no—
1550C24—1462no—
1551C24C23×D7311yescharacteristic
1552C24C23×D7311yescharacteristic
1553C24C23×D7311yescharacteristic
1554C24C23×D7311yescharacteristic
1555C24C23×D7311yescharacteristic
1556C24C23×D7311yescharacteristic
1557C2×Q8—2921no—
1558C2×Q8—2921no—
1559C2×Q8—1462no—
1560C2×D4—22no—
1561C2×D4—22no—
1562C2×D4—22no—
1563C2×D4—22no—
1564C2×D4—22no—
1565C2×D4—22no—
1566C2×D4—22no—
1567C2×D4—22no—
1568C2×D4—22no—
1569C2×D4—22no—
1570C2×D4—22no—
1571C2×D4—22no—
1572C2×D4—41no—
1573C2×D4—41no—
1574C2×D4—41no—
1575C2×D4—41no—
1576C2×D4—41no—
1577C2×D4—41no—
1578C2×D4—41no—
1579C2×D4—41no—
1580C2×D4—41no—
1581C2×D4—41no—
1582C2×D4—41no—
1583C2×D4—41no—
1584C2×D4—41no—
1585C2×D4—41no—
1586C2×D4—41no—
1587C2×D4—41no—
1588C2×D4—41no—
1589C2×D4—41no—
1590C2×D4—41no—
1591C2×D4—41no—
1592C2×D4—41no—
1593C2×D4—41no—
1594C2×D4—41no—
1595C2×D4—41no—
1596C2×D4—2921no—
1597C2×D4—2921no—
1598C2×D4—2921no—
1599C2×D4—2921no—
1600C2×D4—29216no—
1601C2×D4—29216no—
1602C2×D4—29216no—
1603C2×D4—2921no—
1604C2×D4—2921no—
1605C2×D4—2921no—
1606C2×D4—2921no—
1607C2×D4—2921no—
1608C2×D4—2921no—
1609C2×D4—2921no—
1610C2×D4—2921no—
1611C2×D4—2921no—
1612C2×D4—2921no—
1613C2×D4—2921no—
1614C2×D4—2921no—
1615C2×D4—2921no—
1616C2×D4—2921no—
1617C2×D4—2921no—
1618C2×D4—2921no—
1619C2×D4—2921no—
1620C2×D4—2921no—
1621C2×D4—2921no—
1622C2×D4—2921no—
1623C2×D4—2921no—
1624C2×D4—2921no—
1625C2×D4—2921no—
1626C2×D4—2921no—
1627C2×D4—2921no—
1628C2×D4—2921no—
1629C2×D4—1462no—
1630C2×D4—1462no—
1631C2×D4—1462no—
1632C2×D4—1462no—
1633C2×D4—1462no—
1634C2×D4—1462no—
1635C2×D4—1462no—
1636C2×D4—1462no—
1637C2×D4—1462no—
1638C2×D4—1462no—
1639C2×D4—1462no—
1640C2×D4—1462no—
1641C2×D4—1462no—
1642C2×D4—1462no—
1643C2×D4—1462no—
1644C2×D4—1462no—
1645C2×D4—1462no—
1646C2×D4—1462no—
1647C2×D4—1462no—
1648C2×D4—1462no—
1649C2×D4—1462no—
1650C2×D4—1462no—
1651C2×D4—1462no—
1652C2×D4—1462no—
1653C2×D4—1462no—
1654C2×D4—1462no—
1655C2×D4—1462no—
1656C22×C4—22no—
1657C22×C4—41no—
1658C22×C4—41no—
1659C22×C4—2921no—
1660C22×C4—2921no—
1661C22×C4—2921no—
1662C22×C4—2921no—
1663C22×C4—2921no—
1664C22×C4—2921no—
1665C22×C4—734no—
1666C22×C4—734no—
1667C22×C4—731no—
1668C22×C4—731no—
1669C22×C4—731no—
1670C22×C4—731no—
1671C22×C4—731no—
1672C22×C4—731no—
1673C22×C4—731no—
1674C22×C4—731no—
1675C22×C4—731no—
1676C22×C4—731no—
1677C22×C4—731no—
1678C22×C4—1462no—
1679C22×C4—1462no—
1680C22×C4—1462no—
1681C22×C4—1462no—
1682C22×C4C23×D7311yescharacteristic
1683C22×C4C23×D7311yescharacteristic
1684C22×C4C23×D7311yescharacteristic
1685C22×C4C23×D7311yescharacteristic
1686C22×C4C23×D7311yescharacteristic
1687C22×C4C23×D7311yescharacteristic
1688C22×C4C23×D7311yescharacteristic
1689C22×C4C23×D7311yescharacteristic
1690C22×C4C23×D7311yescharacteristic
1691C4⋊C4—22no—
1692C4⋊C4—41no—
1693C4⋊C4—2921no—
1694C4⋊C4—2921no—
1695C4⋊C4—2921no—
1696C4⋊C4—2921no—
1697C4⋊C4—2921no—
1698C4⋊C4—2921no—
1699C4⋊C4—2921no—
1700C4⋊C4—1462no—
1701C4⋊C4—1462no—
1702C4⋊C4—1462no—
1703C4⋊C4—1462no—
1704C4⋊C4—1462no—
1705C22⋊C4—22no—
1706C22⋊C4—22no—
1707C22⋊C4—22no—
1708C22⋊C4—22no—
1709C22⋊C4—22no—
1710C22⋊C4—41no—
1711C22⋊C4—41no—
1712C22⋊C4—41no—
1713C22⋊C4—41no—
1714C22⋊C4—41no—
1715C22⋊C4—41no—
1716C22⋊C4—41no—
1717C22⋊C4—41no—
1718C22⋊C4—2921no—
1719C22⋊C4—2921no—
1720C22⋊C4—2921no—
1721C22⋊C4—2921no—
1722C22⋊C4—2921no—
1723C22⋊C4—2921no—
1724C22⋊C4—2921no—
1725C22⋊C4—2921no—
1726C22⋊C4—2921no—
1727C22⋊C4—2921no—
1728C22⋊C4—2921no—
1729C22⋊C4—2921no—
1730C22⋊C4—2921no—
1731C22⋊C4—2921no—
1732C22⋊C4—2921no—
1733C22⋊C4—2921no—
1734C22⋊C4—2921no—
1735C22⋊C4—2921no—
1736C22⋊C4—2921no—
1737C22⋊C4—2921no—
1738C22⋊C4—2921no—
1739C22⋊C4—2921no—
1740C22⋊C4—2921no—
1741C22⋊C4—2921no—
1742C22⋊C4—2921no—
1743C22⋊C4—2921no—
1744C22⋊C4—2921no—
1745C22⋊C4—2921no—
1746C22⋊C4—2921no—
1747C22⋊C4—2921no—
1748C22⋊C4—2921no—
1749C22⋊C4—2921no—
1750C22⋊C4—734no—
1751C22⋊C4—734no—
1752C22⋊C4—734no—
1753C22⋊C4—1462no—
1754C22⋊C4—1462no—
1755C22⋊C4—1462no—
1756C22⋊C4—1462no—
1757C22⋊C4—1462no—
1758C22⋊C4—1462no—
1759C22⋊C4—1462no—
1760C22⋊C4—1462no—
1761C22⋊C4—1462no—
1762C22⋊C4—1462no—
1763C22⋊C4—1462no—
1764C22⋊C4—1462no—
1765C22⋊C4—1462no—
1766C22⋊C4—1462no—
1767C22⋊C4—1462no—
1768C22⋊C4—1462no—
1769C22⋊C4—1462no—
1770C22⋊C4—1462no—
1771C22⋊C4—1462no—
1772C22⋊C4—1462no—
1773C22⋊C4—1462no—
1774C22⋊C4—1462no—
1775C22⋊C4—1462no—
1776C22⋊C4—1462no—
1777C22⋊C4—1462no—
1778C22⋊C4D4×D7314yes—
1779C42—41no—
1780C42—2921no—
1781C42—2921no—
1782C42—2921no—
1783C42—1462no—
1784C42—1462no—
1785C23—21no—
1786C23—21no—
1787C23—21no—
1788C23—21no—
1789C23—21no—
1790C23—21no—
1791C23—21no—
1792C23—21no—
1793C23—21no—
1794C23—21no—
1795C23—21no—
1796C23—21no—
1797C23—21no—
1798C23—21no—
1799C23—21no—
1800C23—21no—
1801C23—21no—
1802C23—21no—
1803C23—21no—
1804C23—21no—
1805C23—21no—
1806C23—21no—
1807C23—21no—
1808C23—21no—
1809C23—21no—
1810C23—21no—
1811C23—21no—
1812C23—21no—
1813C23—21no—
1814C23—21no—
1815C23—21no—
1816C23—21no—
1817C23—21no—
1818C23—21no—
1819C23—21no—
1820C23—21no—
1821C23—21no—
1822C23—21no—
1823C23—21no—
1824C23—44no—
1825C23—44no—
1826C23—44no—
1827C23—44no—
1828C23—44no—
1829C23—44no—
1830C23—44no—
1831C23—2924no—
1832C23—2924no—
1833C23—2924no—
1834C23—2924no—
1835C23—2924no—
1836C23—2924no—
1837C23—2924no—
1838C23—2924no—
1839C23—2924no—
1840C23—2924no—
1841C23—2924no—
1842C23—2924no—
1843C23—2924no—
1844C23—2924no—
1845C23—2924no—
1846C23—292128no—
1847C23—2924no—
1848C23—2924no—
1849C23—2924no—
1850C23—2924no—
1851C23—2924no—
1852C23—2924no—
1853C23—2924no—
1854C23—2924no—
1855C23—2924no—
1856C23—2924no—
1857C23—2924no—
1858C23—2924no—
1859C23—2924no—
1860C23—2924no—
1861C23—2924no—
1862C23—2924no—
1863C23—2924no—
1864C23—2924no—
1865C23—2924no—
1866C23—2924no—
1867C23—2924no—
1868C23—2924no—
1869C23—2924no—
1870C23—2924no—
1871C23—2924no—
1872C23—2924no—
1873C23—2924no—
1874C23—5842no—
1875C23—5842no—
1876C23—5842no—
1877C23—5842no—
1878C23—732no—
1879C23—732no—
1880C23—732no—
1881C23—732no—
1882C23—732no—
1883C23—732no—
1884C23—1468no—
1885C23—1468no—
1886C23—1468no—
1887C23—1461no—
1888C23—1461no—
1889C23—1461no—
1890C23—1461no—
1891C23—1461no—
1892C23—1461no—
1893C23—1461no—
1894C23—1461no—
1895C23—1461no—
1896C23—1461no—
1897C23—1461no—
1898C23—1461no—
1899C23—1461no—
1900C23—1461no—
1901C23—1461no—
1902C23—1461no—
1903C23—1461no—
1904C23—1461no—
1905C23—1461no—
1906C23—1461no—
1907C23—1461no—
1908C23—1461no—
1909C23—1461no—
1910C23—1461no—
1911C23—1461no—
1912C23—1461no—
1913C23—1461no—
1914C23—1461no—
1915C23—1461no—
1916C23C2×D4×D7312yes—
1917C23#1455663612yes—
1918C23#1455663612yes—
1919C23C24×D7311yescharacteristic
1920Q8—5842no—
1921D4—44no—
1922D4—44no—
1923D4—44no—
1924D4—82no—
1925D4—82no—
1926D4—82no—
1927D4—82no—
1928D4—82no—
1929D4—82no—
1930D4—82no—
1931D4—82no—
1932D4—82no—
1933D4—2924no—
1934D4—2924no—
1935D4—2924no—
1936D4—2924no—
1937D4—2924no—
1938D4—2924no—
1939D4—2924no—
1940D4—2924no—
1941D4—2924no—
1942D4—2924no—
1943D4—2924no—
1944D4—5842no—
1945D4—5842no—
1946D4—5842no—
1947D4—5842no—
1948D4—5842no—
1949D4—5842no—
1950D4—5842no—
1951D4—5842no—
1952C2×C4—21no—
1953C2×C4—21no—
1954C2×C4—21no—
1955C2×C4—21no—
1956C2×C4—21no—
1957C2×C4—21no—
1958C2×C4—21no—
1959C2×C4—21no—
1960C2×C4—21no—
1961C2×C4—21no—
1962C2×C4—21no—
1963C2×C4—21no—
1964C2×C4—21no—
1965C2×C4—21no—
1966C2×C4—21no—
1967C2×C4—21no—
1968C2×C4—21no—
1969C2×C4—21no—
1970C2×C4—21no—
1971C2×C4—21no—
1972C2×C4—21no—
1973C2×C4—21no—
1974C2×C4—21no—
1975C2×C4—21no—
1976C2×C4—21no—
1977C2×C4—82no—
1978C2×C4—2924no—
1979C2×C4—2924no—
1980C2×C4—2924no—
1981C2×C4—5842no—
1982C2×C4—732no—
1983C2×C4—732no—
1984C2×C4—1461no—
1985C2×C4—1461no—
1986C2×C4—1461no—
1987C2×C4—1461no—
1988C2×C4—1461no—
1989C2×C4—1461no—
1990C2×C4—1461no—
1991C2×C4—1461no—
1992C2×C4—1461no—
1993C2×C4—1461no—
1994C2×C4—1461no—
1995C2×C4—1461no—
1996C2×C4—1461no—
1997C2×C4—1461no—
1998C2×C4—1461no—
1999C2×C4—1461no—
2000C2×C4—1461no—
2001C2×C4—1461no—
2002C2×C4—1461no—
2003C2×C4—1461no—
2004C2×C4—1461no—
2005C2×C4—1461no—
2006C2×C4—1461no—
2007C2×C4—1461no—
2008C2×C4—1461no—
2009C2×C4—1461no—
2010C2×C4—1461no—
2011C2×C4—1461no—
2012C2×C4—1461no—
2013C2×C4—1461no—
2014C2×C4—1461no—
2015C2×C4C2×D4×D7312yes—
2016C2×C4C2×D4×D7312yes—
2017C22—22no—
2018C22—22no—
2019C22—22no—
2020C22—22no—
2021C22—22no—
2022C22—22no—
2023C22—22no—
2024C22—22no—
2025C22—22no—
2026C22—416no—
2027C22—41no—
2028C22—41no—
2029C22—41no—
2030C22—41no—
2031C22—41no—
2032C22—41no—
2033C22—41no—
2034C22—41no—
2035C22—41no—
2036C22—41no—
2037C22—41no—
2038C22—41no—
2039C22—41no—
2040C22—41no—
2041C22—41no—
2042C22—41no—
2043C22—41no—
2044C22—41no—
2045C22—41no—
2046C22—41no—
2047C22—41no—
2048C22—41no—
2049C22—41no—
2050C22—41no—
2051C22—41no—
2052C22—41no—
2053C22—41no—
2054C22—41no—
2055C22—41no—
2056C22—41no—
2057C22—41no—
2058C22—41no—
2059C22—41no—
2060C22—29216no—
2061C22—29216no—
2062C22—29216no—
2063C22—29216no—
2064C22—29216no—
2065C22—29216no—
2066C22—2921no—
2067C22—2921no—
2068C22—2921no—
2069C22—2921no—
2070C22—2921no—
2071C22—2921no—
2072C22—2921no—
2073C22—2921no—
2074C22—2921no—
2075C22—2921no—
2076C22—2921no—
2077C22—2921no—
2078C22—2921no—
2079C22—2921no—
2080C22—2921no—
2081C22—2921no—
2082C22—2921no—
2083C22—2921no—
2084C22—2921no—
2085C22—5848no—
2086C22—734no—
2087C22—1462no—
2088C22—1462no—
2089C22—1462no—
2090C22—1462no—
2091C22—1462no—
2092C22—1462no—
2093C22—1462no—
2094C22—1462no—
2095C22—1462no—
2096C22—1462no—
2097C22—1462no—
2098C22—1462no—
2099C22—1462no—
2100C22—1462no—
2101C22—1462no—
2102C22C22×D4×D7311yescharacteristic
2103C22H(5,𝔽2)×D7311yescharacteristic
2104C22H(5,𝔽2)×D7311yescharacteristic
2105C22H(5,𝔽2)×D7311yescharacteristic
2106C22H(5,𝔽2)×D7311yescharacteristic
2107C22C2×#1455663611yescharacteristic
2108C22C2×#1455663611yescharacteristic
2109C4—22no—
2110C4—22no—
2111C4—41no—
2112C4—41no—
2113C4—41no—
2114C4—41no—
2115C4—41no—
2116C4—41no—
2117C4—41no—
2118C4—2921no—
2119C4—2921no—
2120C4—2921no—
2121C4—2921no—
2122C4—2921no—
2123C4—2921no—
2124C4—2921no—
2125C4—2921no—
2126C4—2921no—
2127C4—1462no—
2128C4—1462no—
2129C2—42no—
2130C2—42no—
2131C2—42no—
2132C2—81no—
2133C2—81no—
2134C2—81no—
2135C2—2922no—
2136C2—2922no—
2137C2—2922no—
2138C2—5841no—
2139C2—1464no—
2140C2#535×D7311yescharacteristic
2141C2#2262355911yescharacteristic
2142C2#2262355911yescharacteristic
2143C2#2262408111yescharacteristic
2144C2#2262408311yescharacteristic
2145C2#2262408411yescharacteristic
2146C2#2262408511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2669C2
hypercenter#2669D73
hypocenterC73#36703
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2669

Complements

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

NH ≅ G/Ntype
1. C2×#17989169C2semidirect
2. C2×#120×D73C2semidirect
3. #22618207C2semidirect
4. #22618207C2semidirect
5. #22616321C2semidirect
6. #22616320C2semidirect
7. #22616319C2semidirect
8. #22616318C2semidirect
9. #22616259C2semidirect
10. #22616258C2semidirect
11. #22616257C2semidirect
12. #22616256C2semidirect
13. #22616159C2semidirect
14. #22616158C2semidirect
15. #22616156C2semidirect
16. #22616153C2semidirect
17. #22616144C2semidirect
18. #22616143C2semidirect
19. #22616142C2semidirect
20. #22615642C2semidirect
21. #22615642C2semidirect
22. #22615087C2semidirect
23. #22614856C2semidirect
24. #22614819C2semidirect
25. #22614816C2semidirect
26. #22613577C2semidirect
27. #22613565C2semidirect
28. #22613283C2semidirect
29. #22613280C2semidirect
30. #22612525C2semidirect
31. C73×#2669C2semidirect
37. C2×#14556587C22semidirect
38. C2×#14556586C22semidirect
39. C2×#14556584C22semidirect
40. C2×#14556578C22semidirect
41. C2×#14556577C22semidirect
42. C2×#14556577C22semidirect
43. C2×#14556577C22semidirect
44. C2×#14556574C22semidirect
45. C2×#14556573C22semidirect
46. C2×#14556573C22semidirect
47. C2×#14556572C22semidirect
48. C2×#14556569C22semidirect
49. C2×#14556565C22semidirect
50. C2×#14556563C22semidirect
51. C2×#14556563C22semidirect
52. C2×#14556563C22semidirect
53. C2×#14556562C22semidirect
67. C2×#14556559C22semidirect
68. C2×#14556559C22semidirect
69. C2×#14556559C22semidirect
70. C2×#14556559C22semidirect
71. C2×#14556559C22semidirect
72. C2×#14556559C22semidirect
73. C2×#14556559C22semidirect
74. C2×#14556559C22semidirect
76. C2×C4×C22⋊D73C22semidirect
77. C2×#14556551C22semidirect
81. #17988524C22semidirect
82. #17988523C22semidirect
83. #17988516C22semidirect
84. #17988515C22semidirect
85. #17988511C22semidirect
86. #17988510C22semidirect
87. #17988510C22semidirect
88. #17988509C22semidirect
89. #17988505C22semidirect
90. #17988505C22semidirect
91. #17988505C22semidirect
92. #17988505C22semidirect
93. #17988504C22semidirect
94. #17988503C22semidirect
95. #17988503C22semidirect
96. #17988503C22semidirect
97. #17988503C22semidirect
98. #17988503C22semidirect
99. #17988502C22semidirect
100. #17988502C22semidirect
101. #17988502C22semidirect
102. #17988501C22semidirect
103. #17988501C22semidirect
104. #17988501C22semidirect
105. #17988501C22semidirect
106. #17988501C22semidirect
107. #17988500C22semidirect
108. #17988499C22semidirect
109. #17988496C22semidirect
110. #17988496C22semidirect
111. #17988496C22semidirect
112. #17988495C22semidirect
113. #17988495C22semidirect
114. #17988495C22semidirect
115. #17988495C22semidirect
116. #17988495C22semidirect
117. #17988495C22semidirect
118. #17988495C22semidirect
119. #17988495C22semidirect
120. #17988495C22semidirect
121. #17988495C22semidirect
122. #17988495C22semidirect
123. #17988490C22semidirect
124. #17988490C22semidirect
125. #17988490C22semidirect
126. #17988490C22semidirect
127. #17988489C22semidirect
128. #17988488C22semidirect
129. #17988487C22semidirect
130. #17988487C22semidirect
131. #17988487C22semidirect
132. #17988487C22semidirect
133. #17988487C22semidirect
134. #17988487C22semidirect
135. #17988481C22semidirect
136. #17988481C22semidirect
137. #17988480C22semidirect
138. #17988480C22semidirect
139. #17988479C22semidirect
140. #17988479C22semidirect
141. #17988478C22semidirect
142. #17988478C22semidirect
143. #17988477C22semidirect
144. #17988477C22semidirect
145. #17988476C22semidirect
146. #17988476C22semidirect
147. #17988475C22semidirect
148. #17988475C22semidirect
149. #17988467C22semidirect
150. #17988466C22semidirect
151. #17988464C22semidirect
152. #17988449C22semidirect
153. #17988449C22semidirect
154. #17988446C22semidirect
155. #17988444C22semidirect
156. #17988443C22semidirect
157. #17988443C22semidirect
164. #17988442C22semidirect
165. #17988442C22semidirect
166. #17988442C22semidirect
167. #17988442C22semidirect
168. #17988442C22semidirect
169. #17988442C22semidirect
170. #17988442C22semidirect
171. #17988442C22semidirect
172. C4×#11924005C22semidirect
173. #17988434C22semidirect
174. C2×#127×C73C22semidirect
175. C2×#121×C73C22semidirect
176. C2×#121×C73C22semidirect
178. C2×#120×C73C22semidirect
179. C2×#120×C73C22semidirect
180. #394×C73C22semidirect
181. #394×C73C22semidirect
182. #392×C73C22semidirect
183. #392×C73C22semidirect
184. #392×C73C22semidirect
185. #392×C73C22semidirect
186. #388×C73C22semidirect
187. #388×C73C22semidirect
188. #386×C73C22semidirect
203. C22×Dic146C23semidirect
221. C22×C22⋊D73C23semidirect
222. C22×C22⋊D73C23semidirect
232. C23×Dic73C23semidirect
276. C2×C4⋊Dic73C23semidirect
277. C2×C4⋊Dic73C23semidirect
278. C2×C4⋊Dic73C23semidirect
279. C2×C4⋊Dic73C23semidirect
280. C2×#11924007C23semidirect
281. C2×#11924007C23semidirect
282. C2×#11924007C23semidirect
283. C2×#11924007C23semidirect
284. C2×#11924007C23semidirect
285. C2×#11924007C23semidirect
286. C2×#11924007C23semidirect
287. C2×#11924007C23semidirect
303. C2×C22⋊Dic73C23semidirect
304. C2×C22⋊Dic73C23semidirect
305. C2×C22⋊Dic73C23semidirect
306. C2×C22⋊Dic73C23semidirect
307. C2×C22⋊Dic73C23semidirect
308. C2×C22⋊Dic73C23semidirect
309. C2×C22⋊Dic73C23semidirect
310. C2×C22⋊Dic73C23semidirect
311. C2×C22⋊Dic73C23semidirect
342. C2×#11924005C23semidirect
343. C2×#11924005C23semidirect
344. C2×#11924005C23semidirect
345. C2×#11924005C23semidirect
346. C2×#11924005C23semidirect
347. C2×#11924005C23semidirect
350. C22⋊C4×D73D4semidirect
351. C2×C4×Dic73C23semidirect
352. C2×C4×Dic73C23semidirect
353. C2×C4×Dic73C23semidirect
354. C2×C4×Dic73C23semidirect
355. C2×C4×Dic73C23semidirect
356. #14556498C23semidirect
357. #14556498C23semidirect
358. #14556498C23semidirect
359. #14556498C23semidirect
360. #14556498C23semidirect
361. #14556498C23semidirect
362. #14556498C23semidirect
363. #14556498C23semidirect
364. #14556498C23semidirect
365. #14556498C23semidirect
366. #14556498C23semidirect
367. #14556498C23semidirect
378. C22×D4×C73C23semidirect
379. C22×D4×C73C23semidirect
380. C22×D4×C73C23semidirect
381. C23×C4×C73C23semidirect
388. C2×C4⋊C4×C73C23semidirect
389. C2×C4⋊C4×C73C23semidirect
399. C2×C22⋊C4×C73C23semidirect
400. C2×C22⋊C4×C73C23semidirect
401. C2×C22⋊C4×C73C23semidirect
402. C2×C22⋊C4×C73C23semidirect
403. C2×C22⋊C4×C73C23semidirect
404. C2×C42×C73C23semidirect
405. #95×C73C23semidirect
406. #95×C73C23semidirect
407. #95×C73C23semidirect
408. #95×C73C23semidirect
1093. #2669D73semidirect
1105. C73#36703semidirect
1112. C2×#127C2×D73semidirect
1129. C2×#121C2×D73semidirect
1130. C2×#121C2×D73semidirect
1154. C2×#120C2×D73semidirect
1155. C2×#120C2×D73semidirect
1187. #394C2×D73semidirect
1188. #394C2×D73semidirect
1205. #392C2×D73semidirect
1206. #392C2×D73semidirect
1207. #392C2×D73semidirect
1208. #392C2×D73semidirect
1235. #388C2×D73semidirect
1236. #388C2×D73semidirect
1240. #386C2×D73semidirect
1316. C22×D4C22×D73semidirect
1317. C22×D4C22×D73semidirect
1318. C22×D4C22×D73semidirect
1323. C23×C4C22×D73semidirect
1382. C2×C4⋊C4C22×D73semidirect
1383. C2×C4⋊C4C22×D73semidirect
1456. C2×C22⋊C4C22×D73semidirect
1457. C2×C22⋊C4C22×D73semidirect
1458. C2×C22⋊C4C22×D73semidirect
1459. C2×C22⋊C4C22×D73semidirect
1460. C2×C22⋊C4C22×D73semidirect
1466. C2×C42C22×D73semidirect
1479. #95C22×D73semidirect
1480. #95C22×D73semidirect
1481. #95C22×D73semidirect
1482. #95C22×D73semidirect

Maximal subgroups

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

subgroupindex
C2×#179891692
C2×#120×D732
#226182072
#226163212
#226163202
#226163192
#226163182
#226162592
#226162582
#226162572
#226162562
#226161592
#226161582
#226161562
#226161532
#226161442
#226161432
#226161422
#226156422
#226150872
#226148562
#226148192
#226148162
#226135772
#226135652
#226132832
#226132802
#226125252
C73×#26692
#3670373