Finite Group Databasebeta

← #33954940

Subgroups — #33954940

Order 18688.

2194 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623803C211yesmaximal, characteristic, complemented
2#22623135C211yesmaximal, characteristic, complemented
3#22620176C211yesmaximal, characteristic, complemented
4#22620174C211yesmaximal, characteristic, complemented
5#22620172C211yesmaximal, characteristic, complemented
6#22620135C211yesmaximal, characteristic, complemented
7#22620132C211yesmaximal, characteristic, complemented
8#22620127C211yesmaximal, characteristic, complemented
9#22620124C211yesmaximal, characteristic, complemented
10#22620078C211yesmaximal, characteristic, complemented
11#22620077C211yesmaximal, characteristic, complemented
12#22620020C211yesmaximal, characteristic, complemented
13#22620017C211yesmaximal, characteristic, complemented
14#22619987C211yesmaximal, characteristic, complemented
15#22619986C211yesmaximal, characteristic, complemented
16#22619929C211yesmaximal, characteristic, complemented
17#22619926C211yesmaximal, characteristic, complemented
18#22619886C211yesmaximal, characteristic, complemented
19#22619884C211yesmaximal, characteristic, complemented
20#22619726C211yesmaximal, characteristic, complemented
21#22619716C211yesmaximal, characteristic, complemented
22#22619406C211yesmaximal, characteristic, complemented
23#459×D73C211yesmaximal, characteristic, complemented
24#22619194C211yesmaximal, characteristic, complemented
25#22619194C211yesmaximal, characteristic, complemented
26#22618780C211yesmaximal, characteristic, complemented
27#22618778C211yesmaximal, characteristic, complemented
28#22618760C211yesmaximal, characteristic, complemented
29#22618756C211yesmaximal, characteristic, complemented
30#22618594C211yesmaximal, characteristic, complemented
31C73×#3122C211yesmaximal, characteristic, complemented
32C2×#14556636C2211yescharacteristic
33C2×#14556615C2211yescharacteristic
34C2×#14556615C2211yescharacteristic
35C2×D8×D73C2211yescharacteristic
36C2×D8×D73C2211yescharacteristic
37#17989321—21no—
38#17989321—21no—
39#17989255—21no—
40#17989255—21no—
41#17989229—21no—
42#17989229—21no—
43#17989226—21no—
44#17989226—21no—
45#17989193C2211yescharacteristic, complemented
46#17989192C2211yescharacteristic, complemented
47#17989191C2211yescharacteristic, complemented
48#17989153C2211yescharacteristic
49#17989153C2211yescharacteristic
50#17989143C2211yescharacteristic, complemented
51#17989134C2211yescharacteristic, complemented
52#17989134C2211yescharacteristic, complemented
53#17989132C2211yescharacteristic, complemented
54#17989132C2211yescharacteristic, complemented
55#127×D73C2211yescharacteristic, complemented
56#17989067C2211yescharacteristic
57#17989067C2211yescharacteristic, complemented
58#17989066—21no—
59#17989066C2211yescharacteristic
60#17989066C2211yescharacteristic, complemented
61#17989060—21no—
62#17989060—21no—
63#17989059—21no—
64#17989059C2211yescharacteristic
65#17989059C2211yescharacteristic, complemented
66#17989059C2211yescharacteristic, complemented
67#17989059C2211yescharacteristic, complemented
68#17989055C2211yescharacteristic
69#17989055C2211yescharacteristic, complemented
70C4×#11924027—21no—
71C4×#11924027C2211yescharacteristic
72C4×#11924027C2211yescharacteristic, complemented
73C2×D4×Dic73C2211yescharacteristic, complemented
74C2×#14556551—21no—
75C2×#14556551—21no—
76C4×D4×D73—21no—
77C4×D4×D73C2211yescharacteristic
78C4×D4×D73C2211yescharacteristic, complemented
79#17988914C2211yescharacteristic, complemented
80#17988913C2211yescharacteristic, complemented
81#17988911C2211yescharacteristic, complemented
82#17988911C2211yescharacteristic, complemented
83#17988910C2211yescharacteristic, complemented
84#17988909C2211yescharacteristic, complemented
85#17988907C2211yescharacteristic, complemented
86#17988906C2211yescharacteristic, complemented
87#17988904C2211yescharacteristic, complemented
88#17988903C2211yescharacteristic, complemented
89#17988902C2211yescharacteristic, complemented
90#17988901C2211yescharacteristic, complemented
91#17988899C2211yescharacteristic, complemented
92#17988898C2211yescharacteristic, complemented
93#17988895C2211yescharacteristic, complemented
94#17988891C2211yescharacteristic, complemented
95#17988888C2211yescharacteristic, complemented
96#17988887C2211yescharacteristic, complemented
97#17988887C2211yescharacteristic, complemented
98#17988884C2211yescharacteristic, complemented
99#17988881C2211yescharacteristic, complemented
100#17988876C2211yescharacteristic, complemented
101#17988875C2211yescharacteristic, complemented
102#17988875C2211yescharacteristic, complemented
103#17988871C2211yescharacteristic, complemented
104#17988866C2211yescharacteristic, complemented
105#17988865C2211yescharacteristic, complemented
106#17988865C2211yescharacteristic, complemented
107#17988788C2211yescharacteristic, complemented
108#17988786C2211yescharacteristic, complemented
109#17988786C2211yescharacteristic, complemented
110#17988784C2211yescharacteristic, complemented
111#17988783C2211yescharacteristic, complemented
112#17988782C2211yescharacteristic, complemented
113#17988782C2211yescharacteristic, complemented
114#17988781C2211yescharacteristic, complemented
115#17988781C2211yescharacteristic, complemented
116#17988780C2211yescharacteristic, complemented
117#17988780C2211yescharacteristic, complemented
118#17988780C2211yescharacteristic, complemented
119#17988780C2211yescharacteristic, complemented
120#17988779C2211yescharacteristic, complemented
121#17988734C2211yescharacteristic, complemented
122#17988734C2211yescharacteristic, complemented
123#17988733C2211yescharacteristic, complemented
124#17988733C2211yescharacteristic, complemented
125#17988730C2211yescharacteristic, complemented
126#17988730C2211yescharacteristic, complemented
127#17988729C2211yescharacteristic, complemented
128#17988729C2211yescharacteristic, complemented
129#17988722C2211yescharacteristic, complemented
130#17988722C2211yescharacteristic, complemented
131#17988721C2211yescharacteristic, complemented
132#17988721C2211yescharacteristic, complemented
133#17988719C2211yescharacteristic, complemented
134#17988719C2211yescharacteristic, complemented
135#17988700C2211yescharacteristic, complemented
136#17988699C2211yescharacteristic, complemented
137#17988699C2211yescharacteristic, complemented
138#17988698C2211yescharacteristic, complemented
139#17988697C2211yescharacteristic, complemented
140#17988697C2211yescharacteristic, complemented
141#17988697C2211yescharacteristic, complemented
142#17988696C2211yescharacteristic, complemented
143#17988696C2211yescharacteristic, complemented
144#17988696C2211yescharacteristic, complemented
145#17988689C2211yescharacteristic, complemented
146#17988687C2211yescharacteristic, complemented
147#17988686C2211yescharacteristic, complemented
148#17988684C2211yescharacteristic, complemented
149#17988678C2211yescharacteristic, complemented
150C4×#11924017C2211yescharacteristic, complemented
151#17988674C2211yescharacteristic, complemented
152C4×#11924016C2211yescharacteristic, complemented
153C4×D584C2211yescharacteristic, complemented
154D8×Dic73C2211yescharacteristic, complemented
155D8×Dic73C2211yescharacteristic, complemented
156#17988669C2211yescharacteristic, complemented
157C4×#11924013C2211yescharacteristic, complemented
158C4×#11924013C2211yescharacteristic, complemented
159C4×#11924013C2211yescharacteristic, complemented
160#17988667C2211yescharacteristic, complemented
161#17988667C2211yescharacteristic, complemented
162#17988667C2211yescharacteristic, complemented
163#17988648C2211yescharacteristic, complemented
164#17988647C2211yescharacteristic, complemented
165#17988647C2211yescharacteristic, complemented
166#17988642C2211yescharacteristic, complemented
167#17988641C2211yescharacteristic, complemented
168#17988638C2211yescharacteristic, complemented
169#17988637C2211yescharacteristic, complemented
170#17988628C2211yescharacteristic, complemented
171#17988626C2211yescharacteristic, complemented
172#17988624C2211yescharacteristic, complemented
173#17988622C2211yescharacteristic, complemented
174#17988609C2211yescharacteristic, complemented
175C4⋊C8×D73C2211yescharacteristic, complemented
176#17988590C2211yescharacteristic
177#17988590C2211yescharacteristic
178#17988590C2211yescharacteristic, complemented
179#17988590C2211yescharacteristic, complemented
180#17988580C2211yescharacteristic
181#17988580C2211yescharacteristic
182#102×D73C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#17988552C2211yescharacteristic
185#17988552C2211yescharacteristic
186#17988544C2211yescharacteristic, complemented
187#17988541C2211yescharacteristic, complemented
188#540×C73C2211yescharacteristic, complemented
189#518×C73C2211yescharacteristic, complemented
190#482×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#478×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#459×C73C2211yescharacteristic, complemented
195#459×C73C2211yescharacteristic, complemented
196#447×C73C2211yescharacteristic, complemented
197#447×C73C2211yescharacteristic, complemented
198#442×C73C2211yescharacteristic, complemented
199#442×C73C2211yescharacteristic, complemented
200C4×D8×C73C2211yescharacteristic, complemented
201C4×D8×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic, complemented
203#14556636—24no—
204#14556636—24no—
205C2×#11924028—21no—
206C2×#11924028—21no—
207C2×#11924028C2311yescharacteristic
208C2×#11924028C2311yescharacteristic
209C2×#11924027—21no—
210C2×#11924027—21no—
211C2×#11924027—21no—
212C2×#11924027C2311yescharacteristic
213C2×#11924027C2311yescharacteristic
214C22×C22⋊D73—21no—
215C22×C22⋊D73—21no—
216C2×D4×D73—21no—
217C2×D4×D73—21no—
218C2×D4×D73—21no—
219C2×D4×D73C2311yescharacteristic
220C2×D4×D73C2311yescharacteristic
221C2×D4×D73C2311yescharacteristic
222C2×D4×D73C2311yescharacteristic
223C23×Dic73—21no—
224C22×C4×D73—21no—
225C22×C4×D73—21no—
226#14556615—24no—
227#14556615—24no—
228C2×#11924017C2311yescharacteristic
229C2×#11924017C2311yescharacteristic
230C2×#11924016C2311yescharacteristic
231C2×#11924016C2311yescharacteristic
232C2×D584C2311yescharacteristic
233C2×D584C2311yescharacteristic
234C2×#11924013C2311yescharacteristic
235C2×#11924013C2311yescharacteristic
236C2×#11924013C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240D8×D73—24no—
241D8×D73—24no—
242C2×#11924011C2311yescharacteristic
243C2×#11924011C2311yescharacteristic
244C2×C8×D73C2311yescharacteristic
245C2×C8×D73C2311yescharacteristic
246#14556590C2311yescharacteristic
247#14556590C2311yescharacteristic
248#14556588C2311yescharacteristic
249#14556587—21no—
250#14556587—21no—
251#14556587—21no—
252#14556587—21no—
253#14556587C2311yescharacteristic
254#14556587C2311yescharacteristic
255#14556583C2311yescharacteristic
256#14556577—21no—
257#14556577—21no—
258#14556577—21no—
259#14556577—21no—
260#14556577—21no—
261#14556577—21no—
262#14556576—21no—
263#14556576—21no—
264#14556576—21no—
265#14556576—21no—
266#14556572—21no—
267#14556572—21no—
268#14556569—21no—
269#14556569—21no—
270#14556566—21no—
271#14556566—21no—
272#14556566C2311yescharacteristic
273#14556566C2311yescharacteristic
274#14556565C2311yescharacteristic
275#14556565C2311yescharacteristic
276#14556564—21no—
277#14556564—21no—
278#14556564—21no—
279#14556564—21no—
280#14556563—21no—
281#14556563—21no—
282#14556563—21no—
283#14556563—21no—
284#14556562C2311yescharacteristic
285#14556562C2311yescharacteristic
286#14556561—21no—
287#14556561—21no—
288#14556559—21no—
289#14556559—21no—
290C4×Dic146—21no—
291C4×Dic146C2311yescharacteristic
292C4×Dic146C2311yescharacteristic
293#14556556—21no—
294#14556556—21no—
295#14556556D411yescharacteristic
296#14556556D411yescharacteristic
297#14556556C2311yescharacteristic
298#14556556C2311yescharacteristic
299C4×D292—21no—
300C4×D292C2311yescharacteristic
301C4×D292C2311yescharacteristic
302C4×D292C2311yescharacteristic
303C4×D292C2311yescharacteristic
304D4×Dic73—21no—
305D4×Dic73—21no—
306D4×Dic73C2311yescharacteristic
307D4×Dic73C2311yescharacteristic
308D4×Dic73C2311yescharacteristic
309D4×Dic73C2311yescharacteristic
310D4×Dic73C2311yescharacteristic
311D4×Dic73C2311yescharacteristic
312#14556553D411yescharacteristic
313#14556553D411yescharacteristic
314#14556553C2311yescharacteristic
315#14556553C2311yescharacteristic
316#14556553C2311yescharacteristic
317#14556553C2311yescharacteristic
318C4×C22⋊D73—21no—
319C4×C22⋊D73—21no—
320C4×C22⋊D73—21no—
321C4×C22⋊D73—21no—
322C4×C22⋊D73—21no—
323C4×C22⋊D73—21no—
324C4×C22⋊D73—21no—
325C4×C22⋊D73—21no—
326C4×C22⋊D73—21no—
327C4×C22⋊D73—21no—
328C4×C22⋊D73—21no—
329C4×C22⋊D73—21no—
330#14556551—21no—
331#14556551—21no—
332#14556551—21no—
333#14556551—21no—
334#14556551—21no—
335#14556551—21no—
336#14556551—21no—
337#14556551—21no—
338#14556551—21no—
339#14556551—21no—
340#14556551—21no—
341#14556551—21no—
342#14556551—21no—
343#14556551—21no—
344#14556551—21no—
345#14556551—21no—
346#14556551—21no—
347#14556551—21no—
348#14556551D411yescharacteristic
349#14556551D411yescharacteristic
350#14556551D411yescharacteristic
351#14556551D411yescharacteristic
352#14556549—21no—
353#14556549C2311yescharacteristic
354#14556549C2311yescharacteristic
355#14556549C2311yescharacteristic
356#14556549C2311yescharacteristic
357#14556548—21no—
358#14556548C2311yescharacteristic
359#14556548C2311yescharacteristic
360#14556547—21no—
361#14556547—21no—
362#14556547—21no—
363#14556547—21no—
364C2×C4⋊Dic73C2311yescharacteristic
365C2×#11924007—21no—
366C2×#11924007—21no—
367C4⋊C4×D73—21no—
368C4⋊C4×D73C2311yescharacteristic
369C4⋊C4×D73C2311yescharacteristic
370C2×C22⋊Dic73—21no—
371C2×#11924005—21no—
372C2×#11924005—21no—
373C2×#11924005—21no—
374C2×#11924005—21no—
375C22⋊C4×D73—21no—
376C22⋊C4×D73—21no—
377C22⋊C4×D73—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C2×C4×Dic73—21no—
382C2×C4×Dic73—21no—
383C2×C4×Dic73C2311yescharacteristic
384C42×D73—21no—
385C42×D73C2311yescharacteristic
386C42×D73C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556523C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399C4⋊#10596831C2311yescharacteristic
400C4⋊#10596831C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429C22⋊#10596831C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556502C2311yescharacteristic
436#14556501C2311yescharacteristic
437#14556501C2311yescharacteristic
438C4×#10596831C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C22×D4×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443C2×D8×C73C2311yescharacteristic
444C2×D8×C73C2311yescharacteristic
445C2×D8×C73C2311yescharacteristic
446#127×C73C2311yescharacteristic
447#125×C73C2311yescharacteristic
448#123×C73—21no—
449#123×C73—21no—
450#121×C73—21no—
451#121×C73—21no—
452#121×C73C2311yescharacteristic
453#121×C73C2311yescharacteristic
454C4×D4×C73—21no—
455C4×D4×C73—21no—
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462#117×C73C2311yescharacteristic
463#117×C73C2311yescharacteristic
464C2×C22⋊C4×C73—21no—
465C2×C22⋊C4×C73—21no—
466#107×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480C22⋊C8×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482#97×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486C23×D73—21no—
487C23×D73—21no—
488#11924028—22no—
489#11924028—22no—
490#11924028—22no—
491#11924028—22no—
492#11924028—82no—
493#11924028—82no—
494#11924027—28no—
495#11924027—22no—
496#11924027—22no—
497#11924027—22no—
498#11924027—82no—
499#11924027—82no—
500#11924027#4114yescomplemented
501C2×Dic146—21no—
502C2×Dic146—21no—
503C2×Dic146C2×D411yescharacteristic
504C2×Dic146C2411yescharacteristic
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292C2×D411yescharacteristic
510C2×D292C2411yescharacteristic
511C2×D292C2411yescharacteristic
512C2×D292C2411yescharacteristic
513C2×C22⋊D73—28no—
514C2×C22⋊D73—28no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73C2×D411yescharacteristic
531C2×C22⋊D73C2×D411yescharacteristic
532D4×D73—28no—
533D4×D73—22no—
534D4×D73—22no—
535D4×D73—22no—
536D4×D73—22no—
537D4×D73—22no—
538D4×D73—22no—
539D4×D73—22no—
540D4×D73—82no—
541D4×D73—82no—
542D4×D73#4114yescomplemented
543C22×Dic73—21no—
544C22×Dic73—21no—
545C22×Dic73—21no—
546C22×Dic73—21no—
547C22×Dic73—21no—
548C22×Dic73—21no—
549C22×Dic73—21no—
550C22×Dic73—21no—
551C22×Dic73—21no—
552C22×Dic73—82no—
553C22×Dic73C2×D411yescharacteristic
554C22×Dic73C2×D411yescharacteristic
555C2×C4×D73—21no—
556C2×C4×D73—21no—
557C2×C4×D73—21no—
558C2×C4×D73—21no—
559C2×C4×D73—21no—
560C2×C4×D73—21no—
561C2×C4×D73—21no—
562C2×C4×D73—21no—
563C2×C4×D73—21no—
564C2×C4×D73—21no—
565C2×C4×D73—21no—
566C2×C4×D73—82no—
567C2×C4×D73—82no—
568C2×C4×D73C2×D411yescharacteristic
569C2×C4×D73C2×D411yescharacteristic
570C2×C4×D73C2×D411yescharacteristic
571C2×C4×D73C2×D411yescharacteristic
572C2×C4×D73C2411yescharacteristic
573C2×C4×D73C2411yescharacteristic
574#11924017—22no—
575#11924017—22no—
576#11924016—22no—
577#11924016—22no—
578D584—22no—
579D584—22no—
580#11924013—22no—
581#11924013—22no—
582#11924013—22no—
583#11924013—22no—
584#11924013—22no—
585#11924013—22no—
586#11924011—22no—
587#11924011—22no—
588C2×#10596831C2411yescharacteristic
589C2×#10596831C2411yescharacteristic
590C2×#10596831C2411yescharacteristic
591C2×#10596831C2411yescharacteristic
592C8×D73—22no—
593C8×D73—22no—
594C4⋊Dic73—21no—
595C4⋊Dic73C2411yescharacteristic
596C4⋊Dic73C2411yescharacteristic
597C4⋊Dic73C2411yescharacteristic
598C4⋊Dic73C2411yescharacteristic
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007—21no—
606#11924007—21no—
607#11924007—21no—
608#11924007—21no—
609#11924007C2×D411yescharacteristic
610#11924007C2×D411yescharacteristic
611#11924007C2×D411yescharacteristic
612#11924007C2×D411yescharacteristic
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73—21no—
619C22⋊Dic73—21no—
620C22⋊Dic73—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005C2×D411yescharacteristic
638#11924005C2×D411yescharacteristic
639#11924005C2×D411yescharacteristic
640#11924005C2×D411yescharacteristic
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73—21no—
645C4×Dic73—21no—
646C4×Dic73—21no—
647C4×Dic73—21no—
648C4×Dic73—21no—
649C4×Dic73C2×D411yescharacteristic
650C4×Dic73C2×D411yescharacteristic
651C4×Dic73C2×D411yescharacteristic
652C4×Dic73C2×D411yescharacteristic
653C4×Dic73C2×D411yescharacteristic
654C4×Dic73C2×D411yescharacteristic
655C4×Dic73C2411yescharacteristic
656C4×Dic73C2411yescharacteristic
657C24×C73—21no—
658C2×D4×C73—22no—
659C2×D4×C73—22no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73—21no—
664C2×D4×C73—21no—
665C2×D4×C73C2411yescharacteristic
666C2×D4×C73C2411yescharacteristic
667C2×D4×C73C2411yescharacteristic
668C2×D4×C73C2411yescharacteristic
669C22×C4×C73—21no—
670C22×C4×C73—21no—
671C22×C4×C73—21no—
672C22×C4×C73—21no—
673C22×C4×C73—21no—
674C22×C4×C73—21no—
675C22×C4×C73C2411yescharacteristic
676D8×C73—22no—
677D8×C73—22no—
678D8×C73—22no—
679D8×C73—22no—
680C2×C8×C73C2411yescharacteristic
681C2×C8×C73C2411yescharacteristic
682C2×C8×C73C2411yescharacteristic
683C2×C8×C73C2411yescharacteristic
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73C2×D411yescharacteristic
687C4⋊C4×C73C2×D411yescharacteristic
688C4⋊C4×C73C2411yescharacteristic
689C4⋊C4×C73C2411yescharacteristic
690C4⋊C4×C73C2411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73C2×D411yescharacteristic
702C22⋊C4×C73C2×D411yescharacteristic
703C42×C73—21no—
704C42×C73C2411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—24no—
707C23×C73—21no—
708C23×C73—21no—
709C23×C73—21no—
710C23×C73—21no—
711C23×C73—81no—
712C23×C73—81no—
713C23×C73C22×D411yescharacteristic
714C22×D73—21no—
715C22×D73—24no—
716C22×D73—24no—
717C22×D73—21no—
718C22×D73—21no—
719C22×D73—42no—
720C22×D73—42no—
721C22×D73—81no—
722C22×D73—81no—
723C22×D73—81no—
724C22×D73—81no—
725C22×D73—81no—
726C22×D73—81no—
727C22×D73—81no—
728C22×D73—81no—
729C22×D73C22×D411yescharacteristic
730C22×D73C22×D411yescharacteristic
731D4×C73—24no—
732D4×C73—21no—
733D4×C73—21no—
734D4×C73—21no—
735D4×C73—21no—
736D4×C73—21no—
737D4×C73—21no—
738D4×C73—81no—
739D4×C73—81no—
740D4×C73—81no—
741D4×C73—81no—
742D4×C73C2×#4112yes—
743D4×C73C2×#4112yes—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—81no—
751C2×C4×C73—81no—
752C2×C4×C73—81no—
753C2×C4×C73—81no—
754C2×C4×C73—81no—
755C2×C4×C73—81no—
756C2×C4×C73C22×D411yescharacteristic
757C2×C4×C73C22×D411yescharacteristic
758C2×C4×C73C22×D411yescharacteristic
759C2×C4×C73C22×D411yescharacteristic
760C2×C4×C73C22×D411yescharacteristic
761C2×C4×C73C2511yescharacteristic
762C22⋊D73—24no—
763C22⋊D73—24no—
764C22⋊D73—24no—
765C22⋊D73—24no—
766C22⋊D73—22no—
767C22⋊D73—24no—
768C22⋊D73—22no—
769C22⋊D73—42no—
770C22⋊D73—42no—
771C22⋊D73—42no—
772C22⋊D73—42no—
773C22⋊D73—42no—
774C22⋊D73—42no—
775C22⋊D73—81no—
776C22⋊D73—81no—
777C22⋊D73—81no—
778C22⋊D73—81no—
779C2×Dic73—24no—
780C2×Dic73—21no—
781C2×Dic73—24no—
782C2×Dic73—22no—
783C2×Dic73—21no—
784C2×Dic73—21no—
785C2×Dic73—21no—
786C2×Dic73—21no—
787C2×Dic73—41no—
788C2×Dic73—42no—
789C2×Dic73—42no—
790C2×Dic73—81no—
791C2×Dic73—81no—
792C2×Dic73—81no—
793C2×Dic73—81no—
794C2×Dic73—81no—
795C2×Dic73C22×D411yescharacteristic
796C2×Dic73C22×D411yescharacteristic
797C2×Dic73C22×D411yescharacteristic
798C2×Dic73C22×D411yescharacteristic
799C2×Dic73C22×D411yescharacteristic
800C2×Dic73C22×D411yescharacteristic
801D292—22no—
802D292—21no—
803D292—21no—
804D292—21no—
805D292—21no—
806D292—21no—
807D292—81no—
808D292—81no—
809D292—81no—
810D292—81no—
811D292C2×#4112yes—
812C4×D73—24no—
813C4×D73—21no—
814C4×D73—21no—
815C4×D73—22no—
816C4×D73—22no—
817C4×D73—41no—
818C4×D73—41no—
819C4×D73—42no—
820C4×D73—81no—
821C4×D73—81no—
822C4×D73—81no—
823C4×D73—81no—
824C4×D73—81no—
825C4×D73—81no—
826C4×D73—81no—
827C4×D73—81no—
828C4×D73—81no—
829C4×D73C2×#4112yes—
830C4×D73C2×#4112yes—
831Dic146—21no—
832Dic146—22no—
833Dic146—42no—
834Dic146—42no—
835Dic146C2×#4112yes—
836C8×C73—21no—
837C8×C73—21no—
838C8×C73—21no—
839C8×C73—21no—
840#10596831—21no—
841#10596831—21no—
842#10596831—21no—
843#10596831—21no—
844C22×C73—21no—
845C22×C73—22no—
846C22×C73—22no—
847C22×C73—21no—
848C22×C73—21no—
849C22×C73—41no—
850C22×C73—41no—
851C22×C73—41no—
852C22×C73—41no—
853C22×C73—41no—
854C22×C73—41no—
855C22×C73—41no—
856C22×C73—41no—
857C22×C73—41no—
858C22×C73—41no—
859C22×C73—84no—
860C22×C73C23×D411yescharacteristic
861C2×D73—21no—
862C2×D73—21no—
863C2×D73—21no—
864C2×D73—21no—
865C2×D73—22no—
866C2×D73—21no—
867C2×D73—41no—
868C2×D73—41no—
869C2×D73—41no—
870C2×D73—41no—
871C2×D73—41no—
872C2×D73—41no—
873C2×D73—41no—
874C2×D73—41no—
875C2×D73—84no—
876C2×D73—84no—
877C2×D73—162no—
878C2×D73—162no—
879C2×D73#52512yes—
880C4×C73—21no—
881C4×C73—21no—
882C4×C73—21no—
883C4×C73—21no—
884C4×C73—21no—
885C4×C73—41no—
886C4×C73—41no—
887C4×C73—41no—
888C4×C73—41no—
889C4×C73C22×#4111yescharacteristic
890C4×C73C22×#4111yescharacteristic
891Dic73—21no—
892Dic73—21no—
893Dic73—21no—
894Dic73—22no—
895Dic73—21no—
896Dic73—41no—
897Dic73—41no—
898Dic73—41no—
899Dic73—41no—
900Dic73#52512yes—
901Dic73#57612yes—
902#60590—731nomaximal, Sylow
903C2×C73—42no—
904C2×C73—42no—
905C2×C73—41no—
906C2×C73—81no—
907C2×C73—81no—
908C2×C73C2×#52511yescharacteristic
909C2×C73C2×#57611yescharacteristic
910C2×C73#358511yescharacteristic
911D73—22no—
912D73—41no—
913D73—42no—
914D73—81no—
915D73—81no—
916#3508—731no—
917C4×H(5,𝔽2)—731no—
918#3122—731no—
919#3122—731no—
920#3122—731no—
921#3122D7311yescharacteristic, complemented
922#3119—731no—
923#3119—731no—
924#3119—731no—
925#3119—731no—
926#3115—731no—
927#3115—731no—
928#3109—731no—
929#3109—731no—
930#3106—731no—
931#3106—731no—
932#3100—731no—
933#3100—731no—
934#3096—731no—
935#3096—731no—
936#3077—731no—
937#3076—731no—
938#3038—731no—
939C2×#459—731no—
940#3008—731no—
941#3008—731no—
942#2948—731no—
943#2948—731no—
944#2946—731no—
945#2946—731no—
946#2925—731no—
947C73#6059011yescharacteristic, complemented, Sylow
948C2×H(5,𝔽2)—731no—
949C2×AGL(1,ℤ/8)—731no—
950C2×AGL(1,ℤ/8)—731no—
951C22×D8—731no—
952C22×D8—731no—
953#559—1461no—
954#559—1461no—
955#550—1461no—
956#550—1461no—
957#546—1461no—
958#546—1461no—
959#546—1461no—
960#546—1461no—
961#540—731no—
962#540—731no—
963#540—731no—
964#540C2×D7311yescharacteristic, complemented
965#535—731no—
966#535—731no—
967#533—731no—
968#532—731no—
969#532—731no—
970#532—731no—
971#532—731no—
972C2×#127—731no—
973#520—731no—
974#520—731no—
975#520—731no—
976#520—731no—
977#520—1461no—
978#518—731no—
979#518—731no—
980#518—731no—
981#518—731no—
982#518—1461no—
983#518—1461no—
984#518—1461no—
985#518C2×D7311yescharacteristic, complemented
986C4×#41—731no—
987C4×#41—731no—
988C4×#41—731no—
989C4×#41—731no—
990C4×#41—1461no—
991C2×C4×D4—731no—
992C2×C4×D4—731no—
993C2×C4×D4—731no—
994C2×C4×D4—1461no—
995C2×C4×D4—1461no—
996C2×C4×D4—1461no—
997#482—731no—
998#482—731no—
999#482—731no—
1000#482—731no—
1001#482—731no—
1002#482—731no—
1003#482C2×D7311yescharacteristic, complemented
1004#482C2×D7311yescharacteristic, complemented
1005#481—731no—
1006#481—731no—
1007#481—731no—
1008#481—731no—
1009#480—731no—
1010#480—731no—
1011#480—731no—
1012#480—731no—
1013#479—731no—
1014#479—731no—
1015#478—731no—
1016#478—731no—
1017#478—731no—
1018#478—731no—
1019#478C2×D7311yescharacteristic, complemented
1020#478C2×D7311yescharacteristic, complemented
1021#477—731no—
1022#476—731no—
1023#476—731no—
1024#476—731no—
1025#475—731no—
1026#474—731no—
1027#474—731no—
1028#474—731no—
1029#460—731no—
1030#460—731no—
1031#460—731no—
1032#460—731no—
1033#459—731no—
1034#459—731no—
1035#459—731no—
1036#459—731no—
1037#459—731no—
1038#459—731no—
1039#459—731no—
1040#459—731no—
1041#459—731no—
1042#459—731no—
1043#459C2×D7311yescharacteristic, complemented
1044#459C2×D7311yescharacteristic, complemented
1045#449—731no—
1046#449—731no—
1047#449—731no—
1048#449—731no—
1049#449—731no—
1050#449—731no—
1051#449—731no—
1052#449—731no—
1053#447—731no—
1054#447—731no—
1055#447—731no—
1056#447—731no—
1057#447—731no—
1058#447—731no—
1059#447C2×D7311yescharacteristic, complemented
1060#447C2×D7311yescharacteristic, complemented
1061#442—731no—
1062#442—731no—
1063#442—731no—
1064#442—731no—
1065#442—731no—
1066#442—731no—
1067#442—731no—
1068#442—731no—
1069#442—731no—
1070#442—731no—
1071#442C2×D7311yescharacteristic, complemented
1072#442C2×D7311yescharacteristic, complemented
1073#440—731no—
1074#440—731no—
1075#440—731no—
1076#440—731no—
1077C4×SD16—731no—
1078C4×SD16—731no—
1079C4×SD16—731no—
1080C4×SD16—731no—
1081C4×D8—731no—
1082C4×D8—731no—
1083C4×D8—731no—
1084C4×D8—731no—
1085C4×D8—731no—
1086C4×D8—731no—
1087C4×D8—731no—
1088C4×D8—731no—
1089C4×D8—731no—
1090C4×D8—731no—
1091C4×D8C2×D7311yescharacteristic, complemented
1092C4×D8C2×D7311yescharacteristic, complemented
1093#433—731no—
1094#433—731no—
1095#433—731no—
1096#433C2×D7311yescharacteristic, complemented
1097#432—731no—
1098#432—731no—
1099#431—731no—
1100#431—731no—
1101#428—731no—
1102#428—731no—
1103#427—731no—
1104#427—731no—
1105#423—731no—
1106C2×C4⋊C8—731no—
1107#418—731no—
1108#418—731no—
1109#418—731no—
1110#418—731no—
1111#416—731no—
1112#416—731no—
1113C2×#102—731no—
1114C2×#102—731no—
1115#408—731no—
1116#408—731no—
1117#405—731no—
1118#405—731no—
1119H(5,𝔽2)—1464no—
1120H(5,𝔽2)—1464no—
1121C2×#41—731no—
1122C2×#41—731no—
1123C2×#41—731no—
1124C2×#41—731no—
1125C2×#41—1461no—
1126C2×#41—1461no—
1127C2×#41—1461no—
1128C2×#41—1461no—
1129C2×#41—1461no—
1130C22×D4—731no—
1131C22×D4—731no—
1132C22×D4—731no—
1133C22×D4—731no—
1134C22×D4—1461no—
1135C22×D4—1461no—
1136C22×D4—1461no—
1137C22×D4—1461no—
1138C22×D4—1461no—
1139C22×D4C22×D7311yescharacteristic
1140C23×C4—1461no—
1141C23×C4—1461no—
1142C23×C4—1461no—
1143AGL(1,ℤ/8)—1464no—
1144AGL(1,ℤ/8)—1464no—
1145C2×SD16—731no—
1146C2×SD16—731no—
1147C2×SD16—731no—
1148C2×SD16—731no—
1149C2×D8—731no—
1150C2×D8—731no—
1151C2×D8—731no—
1152C2×D8—731no—
1153C2×D8—731no—
1154C2×D8—731no—
1155C2×D8—731no—
1156C2×D8—731no—
1157C2×D8—1464no—
1158C2×D8—1464no—
1159C2×D8C22×D7311yescharacteristic
1160C2×D8C22×D7311yescharacteristic
1161C2×D8C22×D7311yescharacteristic
1162C2×D8C22×D7311yescharacteristic
1163C2×M16—731no—
1164C2×M16—731no—
1165C22×C8—731no—
1166C22×C8—731no—
1167C4⋊Q8—731no—
1168C4⋊Q8—731no—
1169#127—731no—
1170#127—731no—
1171#127—731no—
1172#127—1461no—
1173#127—1461no—
1174#127—1461no—
1175#127—1461no—
1176#127C22×D7311yescharacteristic
1177#125—731no—
1178#125C22×D7311yescharacteristic
1179#124—1461no—
1180#124—1461no—
1181#124—1461no—
1182#124—1461no—
1183#124—1461no—
1184#124—1461no—
1185#123—21no—
1186#123—21no—
1187#123—1461no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193C22⋊Q8—1461no—
1194C22⋊Q8—1461no—
1195#121—21no—
1196#121—21no—
1197#121—731no—
1198#121—731no—
1199#121—731no—
1200#121—731no—
1201#121—731no—
1202#121—731no—
1203#121—1461no—
1204#121—1461no—
1205#121—1461no—
1206#121—1461no—
1207#121—1461no—
1208#121—1461no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121—1461no—
1213#121C22×D7311yescharacteristic
1214#121C22×D7311yescharacteristic
1215#120—1461no—
1216#120—1461no—
1217#120—1461no—
1218#120—1461no—
1219C4×Q8—731no—
1220C4×Q8—731no—
1221C4×Q8—731no—
1222C4×Q8—731no—
1223C4×Q8—731no—
1224C4×Q8—731no—
1225C4×Q8—1461no—
1226C4×Q8—1461no—
1227C4×Q8—1461no—
1228C4×D4—21no—
1229C4×D4—21no—
1230C4×D4—731no—
1231C4×D4—731no—
1232C4×D4—731no—
1233C4×D4—731no—
1234C4×D4—731no—
1235C4×D4—731no—
1236C4×D4—731no—
1237C4×D4—731no—
1238C4×D4—731no—
1239C4×D4—731no—
1240C4×D4—731no—
1241C4×D4—731no—
1242C4×D4—731no—
1243C4×D4—731no—
1244C4×D4—731no—
1245C4×D4—731no—
1246C4×D4—731no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—1461no—
1251C4×D4—1461no—
1252C4×D4—1461no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4—1461no—
1268C4×D4—1461no—
1269C4×D4—1461no—
1270C4×D4—1461no—
1271C4×D4—1461no—
1272C4×D4—1461no—
1273C4×D4—1461no—
1274C4×D4—1461no—
1275C4×D4—1461no—
1276C4×D4—1461no—
1277C4×D4—1461no—
1278C4×D4—1461no—
1279C4×D4—1461no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4C22×D7311yescharacteristic
1284C4×D4C22×D7311yescharacteristic
1285C4×D4C22×D7311yescharacteristic
1286C4×D4C22×D7311yescharacteristic
1287C4×D4C22×D7311yescharacteristic
1288C4×D4C22×D7311yescharacteristic
1289#117—731no—
1290#117—731no—
1291#117—731no—
1292#117—731no—
1293#117—731no—
1294#117—731no—
1295#117—1461no—
1296#117—1461no—
1297#117—1461no—
1298#117—1461no—
1299#117—1461no—
1300#117—1461no—
1301#117C22×D7311yescharacteristic
1302#117C22×D7311yescharacteristic
1303C2×C4⋊C4—731no—
1304C2×C4⋊C4—731no—
1305C2×C4⋊C4—731no—
1306C2×C4⋊C4—1461no—
1307C2×C4⋊C4—1461no—
1308C2×C4⋊C4—1461no—
1309C2×C22⋊C4—21no—
1310C2×C22⋊C4—21no—
1311C2×C22⋊C4—1461no—
1312C2×C22⋊C4—1461no—
1313C2×C22⋊C4—1461no—
1314C2×C22⋊C4—1461no—
1315C2×C22⋊C4—1461no—
1316C2×C22⋊C4—1461no—
1317C2×C22⋊C4—1461no—
1318C2×C22⋊C4—1461no—
1319C2×C22⋊C4—1461no—
1320C2×C22⋊C4—1461no—
1321C2×C22⋊C4—1461no—
1322C2×C42—731no—
1323C2×C42—731no—
1324C2×C42—731no—
1325C2×C42—1461no—
1326C2×C42—1461no—
1327C2×C42—1461no—
1328#107—731no—
1329#107—731no—
1330#107—731no—
1331#107—731no—
1332#107—731no—
1333#107—731no—
1334#107C22×D7311yescharacteristic
1335#107C22×D7311yescharacteristic
1336#106—731no—
1337#106—731no—
1338#106—731no—
1339#106—731no—
1340#106—731no—
1341#106—731no—
1342#106C22×D7311yescharacteristic
1343#106C22×D7311yescharacteristic
1344C4⋊C8—731no—
1345C4⋊C8—731no—
1346C4⋊C8—731no—
1347C4⋊C8—731no—
1348C4⋊C8—731no—
1349C4⋊C8—731no—
1350C4⋊C8C22×D7311yescharacteristic
1351C4⋊C8C22×D7311yescharacteristic
1352#103—731no—
1353#103—731no—
1354#103—731no—
1355#103—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102—731no—
1362#102—731no—
1363#102—731no—
1364#102—731no—
1365#102—731no—
1366#102—731no—
1367#102—731no—
1368#102—731no—
1369#102—731no—
1370#102—731no—
1371#102—731no—
1372#102—731no—
1373#102—731no—
1374#102—731no—
1375#102—731no—
1376#102C22×D7311yescharacteristic
1377#102C22×D7311yescharacteristic
1378#102C22×D7311yescharacteristic
1379#102C22×D7311yescharacteristic
1380#102C22×D7311yescharacteristic
1381#102C22×D7311yescharacteristic
1382#102C22×D7311yescharacteristic
1383#102C22×D7311yescharacteristic
1384C22⋊C8—731no—
1385C22⋊C8—731no—
1386C22⋊C8—731no—
1387C22⋊C8—731no—
1388C22⋊C8—731no—
1389C22⋊C8—731no—
1390C22⋊C8C22×D7311yescharacteristic
1391C22⋊C8C22×D7311yescharacteristic
1392#97—731no—
1393#97—731no—
1394#97—731no—
1395#97C22×D7311yescharacteristic
1396C4×C8—731no—
1397C4×C8—731no—
1398C4×C8—731no—
1399C4×C8C22×D7311yescharacteristic
1400C24—21no—
1401C24—1461no—
1402C24—1461no—
1403C24—1461no—
1404C24—1461no—
1405#41—5842no—
1406#41—5842no—
1407#41—5842no—
1408#41—5842no—
1409#41—734no—
1410#41—1462no—
1411#41—1462no—
1412#41—1462no—
1413#41—1462no—
1414#41—1462no—
1415#41—1462no—
1416#41—1468no—
1417#41—1462no—
1418C2×Q8—731no—
1419C2×Q8—731no—
1420C2×Q8—1461no—
1421C2×Q8—1461no—
1422C2×D4—22no—
1423C2×D4—22no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—21no—
1428C2×D4—21no—
1429C2×D4—5842no—
1430C2×D4—5842no—
1431C2×D4—734no—
1432C2×D4—731no—
1433C2×D4—731no—
1434C2×D4—731no—
1435C2×D4—731no—
1436C2×D4—731no—
1437C2×D4—731no—
1438C2×D4—1461no—
1439C2×D4—1461no—
1440C2×D4—1462no—
1441C2×D4—1462no—
1442C2×D4—1462no—
1443C2×D4—1462no—
1444C2×D4—1462no—
1445C2×D4—1461no—
1446C2×D4—1461no—
1447C2×D4—1461no—
1448C2×D4—1461no—
1449C2×D4—1461no—
1450C2×D4—1461no—
1451C2×D4—1461no—
1452C2×D4—1461no—
1453C2×D4—1462no—
1454C2×D4—1468no—
1455C2×D4—1461no—
1456C2×D4—1461no—
1457C2×D4—1461no—
1458C2×D4—1461no—
1459C2×D4—1461no—
1460C2×D4—1461no—
1461C2×D4—1468no—
1462C2×D4—1468no—
1463C2×D4—1461no—
1464C2×D4—1462no—
1465C2×D4—1461no—
1466C2×D4—1461no—
1467C2×D4C23×D7311yescharacteristic
1468C2×D4C23×D7311yescharacteristic
1469C2×D4C23×D7311yescharacteristic
1470C2×D4C23×D7311yescharacteristic
1471C22×C4—21no—
1472C22×C4—21no—
1473C22×C4—21no—
1474C22×C4—21no—
1475C22×C4—21no—
1476C22×C4—21no—
1477C22×C4—5842no—
1478C22×C4—5842no—
1479C22×C4—5842no—
1480C22×C4—731no—
1481C22×C4—731no—
1482C22×C4—731no—
1483C22×C4—731no—
1484C22×C4—731no—
1485C22×C4—731no—
1486C22×C4—731no—
1487C22×C4—731no—
1488C22×C4—1461no—
1489C22×C4—1461no—
1490C22×C4—1461no—
1491C22×C4—1461no—
1492C22×C4—1461no—
1493C22×C4—1461no—
1494C22×C4—1461no—
1495C22×C4—1461no—
1496C22×C4—1461no—
1497C22×C4—1461no—
1498C22×C4—1461no—
1499C22×C4—1461no—
1500C22×C4—1461no—
1501C22×C4—1461no—
1502C22×C4—1461no—
1503C22×C4—1461no—
1504C22×C4—1461no—
1505C22×C4—1461no—
1506C22×C4—1461no—
1507C22×C4—1461no—
1508C22×C4C23×D7311yescharacteristic
1509SD16—1462no—
1510SD16—1462no—
1511SD16—1462no—
1512SD16—1462no—
1513D8—22no—
1514D8—22no—
1515D8—22no—
1516D8—22no—
1517D8—1462no—
1518D8—1462no—
1519D8—1462no—
1520D8—1462no—
1521D8—1462no—
1522D8—1462no—
1523D8—1462no—
1524D8—1462no—
1525M16—1462no—
1526M16—1462no—
1527C2×C8—731no—
1528C2×C8—731no—
1529C2×C8—731no—
1530C2×C8—731no—
1531C2×C8—1462no—
1532C2×C8—1462no—
1533C2×C8C23×D7311yescharacteristic
1534C2×C8C23×D7311yescharacteristic
1535C2×C8C23×D7311yescharacteristic
1536C2×C8C23×D7311yescharacteristic
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—731no—
1540C4⋊C4—731no—
1541C4⋊C4—731no—
1542C4⋊C4—731no—
1543C4⋊C4—731no—
1544C4⋊C4—731no—
1545C4⋊C4—731no—
1546C4⋊C4—731no—
1547C4⋊C4—1461no—
1548C4⋊C4—1461no—
1549C4⋊C4—1461no—
1550C4⋊C4—1461no—
1551C4⋊C4—1461no—
1552C4⋊C4—1461no—
1553C4⋊C4—1461no—
1554C4⋊C4—1461no—
1555C4⋊C4—1461no—
1556C4⋊C4—1461no—
1557C4⋊C4—1461no—
1558C4⋊C4D4×D7311yescharacteristic
1559C4⋊C4D4×D7311yescharacteristic
1560C4⋊C4C23×D7311yescharacteristic
1561C4⋊C4C23×D7311yescharacteristic
1562C4⋊C4C23×D7311yescharacteristic
1563C4⋊C4C23×D7311yescharacteristic
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—731no—
1574C22⋊C4—731no—
1575C22⋊C4—731no—
1576C22⋊C4—731no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4—1461no—
1580C22⋊C4—1461no—
1581C22⋊C4—1461no—
1582C22⋊C4—1461no—
1583C22⋊C4—1461no—
1584C22⋊C4—1461no—
1585C22⋊C4—1461no—
1586C22⋊C4—1461no—
1587C22⋊C4—1461no—
1588C22⋊C4—1461no—
1589C22⋊C4—1461no—
1590C22⋊C4—1461no—
1591C22⋊C4—1461no—
1592C22⋊C4—1461no—
1593C22⋊C4—1461no—
1594C22⋊C4—1461no—
1595C22⋊C4—1461no—
1596C22⋊C4—1461no—
1597C22⋊C4—1461no—
1598C22⋊C4—1461no—
1599C22⋊C4—1461no—
1600C22⋊C4—1461no—
1601C22⋊C4D4×D7311yescharacteristic
1602C22⋊C4D4×D7311yescharacteristic
1603C42—21no—
1604C42—731no—
1605C42—731no—
1606C42—731no—
1607C42—731no—
1608C42—731no—
1609C42—731no—
1610C42—731no—
1611C42—731no—
1612C42—1461no—
1613C42—1461no—
1614C42—1461no—
1615C42—1461no—
1616C42—1461no—
1617C42—1461no—
1618C42—1461no—
1619C42—1461no—
1620C42C23×D7311yescharacteristic
1621C42C23×D7311yescharacteristic
1622C23—24no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—81no—
1628C23—81no—
1629C23—2922no—
1630C23—2922no—
1631C23—5841no—
1632C23—5841no—
1633C23—5841no—
1634C23—5841no—
1635C23—5841no—
1636C23—5841no—
1637C23—5841no—
1638C23—5841no—
1639C23—731no—
1640C23—731no—
1641C23—1464no—
1642C23—1464no—
1643C23—1461no—
1644C23—1461no—
1645C23—1461no—
1646C23C2×D4×D7311yescharacteristic
1647Q8—2922no—
1648Q8—2922no—
1649Q8—732no—
1650Q8—1462no—
1651Q8—1461no—
1652D4—24no—
1653D4—21no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—81no—
1660D4—81no—
1661D4—81no—
1662D4—81no—
1663D4—2922no—
1664D4—2922no—
1665D4—2922no—
1666D4—2922no—
1667D4—2922no—
1668D4—2922no—
1669D4—5841no—
1670D4—5841no—
1671D4—5841no—
1672D4—5841no—
1673D4—5841no—
1674D4—5841no—
1675D4—5841no—
1676D4—5841no—
1677D4—732no—
1678D4—1462no—
1679D4—1462no—
1680D4—1464no—
1681D4—1462no—
1682D4—1464no—
1683D4—1464no—
1684D4—1464no—
1685D4—1464no—
1686D4—1461no—
1687D4—1461no—
1688D4—1461no—
1689D4—1461no—
1690D4—1461no—
1691D4#41×D7312yes—
1692D4#41×D7312yes—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—81no—
1700C2×C4—81no—
1701C2×C4—81no—
1702C2×C4—81no—
1703C2×C4—81no—
1704C2×C4—81no—
1705C2×C4—2921no—
1706C2×C4—2921no—
1707C2×C4—2922no—
1708C2×C4—2922no—
1709C2×C4—2922no—
1710C2×C4—2921no—
1711C2×C4—5841no—
1712C2×C4—5841no—
1713C2×C4—5841no—
1714C2×C4—5841no—
1715C2×C4—5841no—
1716C2×C4—5841no—
1717C2×C4—5841no—
1718C2×C4—5841no—
1719C2×C4—5841no—
1720C2×C4—5841no—
1721C2×C4—5841no—
1722C2×C4—5841no—
1723C2×C4—5841no—
1724C2×C4—5841no—
1725C2×C4—731no—
1726C2×C4—731no—
1727C2×C4—732no—
1728C2×C4—732no—
1729C2×C4—731no—
1730C2×C4—731no—
1731C2×C4—731no—
1732C2×C4—731no—
1733C2×C4—1462no—
1734C2×C4—1462no—
1735C2×C4—1464no—
1736C2×C4—1461no—
1737C2×C4—1461no—
1738C2×C4—1461no—
1739C2×C4—1461no—
1740C2×C4—1462no—
1741C2×C4—1464no—
1742C2×C4—1464no—
1743C2×C4—1461no—
1744C2×C4—1461no—
1745C2×C4—1461no—
1746C2×C4C2×D4×D7311yescharacteristic
1747C2×C4C2×D4×D7311yescharacteristic
1748C2×C4C2×D4×D7311yescharacteristic
1749C2×C4C2×D4×D7311yescharacteristic
1750C2×C4C2×D4×D7311yescharacteristic
1751C2×C4C24×D7311yescharacteristic
1752C8—21no—
1753C8—21no—
1754C8—21no—
1755C8—21no—
1756C8—1461no—
1757C8—1461no—
1758C8—1461no—
1759C8—1461no—
1760C22—21no—
1761C22—21no—
1762C22—22no—
1763C22—22no—
1764C22—21no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—84no—
1776C22—2921no—
1777C22—2921no—
1778C22—2921no—
1779C22—2921no—
1780C22—2921no—
1781C22—2921no—
1782C22—2921no—
1783C22—2921no—
1784C22—5844no—
1785C22—5844no—
1786C22—732no—
1787C22—11682no—
1788C22—11682no—
1789C22—1461no—
1790C22—1462no—
1791C22—1461no—
1792C22—1461no—
1793C22—1461no—
1794C22—1461no—
1795C22C22×D4×D7311yescharacteristic
1796C4—21no—
1797C4—21no—
1798C4—21no—
1799C4—21no—
1800C4—21no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—2921no—
1806C4—2921no—
1807C4—2921no—
1808C4—2921no—
1809C4—732no—
1810C4—732no—
1811C4—1461no—
1812C4—1461no—
1813C4—1462no—
1814C4—1461no—
1815C4—1461no—
1816C4C2×#41×D7311yescharacteristic
1817C4C2×#41×D7311yescharacteristic
1818C2—41no—
1819C2—42no—
1820C2—42no—
1821C2—81no—
1822C2—81no—
1823C2—2922no—
1824C2—2921no—
1825C2—5841no—
1826C2—5841no—
1827C2—1462no—
1828C2#525×D7311yescharacteristic
1829C2#576×D7311yescharacteristic
1830C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3122C2
socleC22×C73C23×D4
hypercenter#3122D73
hypocenterC73#60590
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3122

Complements

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

NH ≅ G/Ntype
1. #22623803C2semidirect
2. #22623135C2semidirect
3. #22620176C2semidirect
4. #22620174C2semidirect
5. #22620172C2semidirect
6. #22620135C2semidirect
7. #22620132C2semidirect
8. #22620127C2semidirect
9. #22620124C2semidirect
10. #22620078C2semidirect
11. #22620077C2semidirect
12. #22620020C2semidirect
13. #22620017C2semidirect
14. #22619987C2semidirect
15. #22619986C2semidirect
16. #22619929C2semidirect
17. #22619926C2semidirect
18. #22619886C2semidirect
19. #22619884C2semidirect
20. #22619726C2semidirect
21. #22619716C2semidirect
22. #22619406C2semidirect
23. #459×D73C2semidirect
24. #22619194C2semidirect
25. #22619194C2semidirect
26. #22618780C2semidirect
27. #22618778C2semidirect
28. #22618760C2semidirect
29. #22618756C2semidirect
30. #22618594C2semidirect
31. C73×#3122C2semidirect
45. #17989193C22semidirect
46. #17989192C22semidirect
47. #17989191C22semidirect
50. #17989143C22semidirect
51. #17989134C22semidirect
52. #17989134C22semidirect
53. #17989132C22semidirect
54. #17989132C22semidirect
55. #127×D73C22semidirect
57. #17989067C22semidirect
60. #17989066C22semidirect
65. #17989059C22semidirect
66. #17989059C22semidirect
67. #17989059C22semidirect
69. #17989055C22semidirect
72. C4×#11924027C22semidirect
73. C2×D4×Dic73C22semidirect
78. C4×D4×D73C22semidirect
79. #17988914C22semidirect
80. #17988913C22semidirect
81. #17988911C22semidirect
82. #17988911C22semidirect
83. #17988910C22semidirect
84. #17988909C22semidirect
85. #17988907C22semidirect
86. #17988906C22semidirect
87. #17988904C22semidirect
88. #17988903C22semidirect
89. #17988902C22semidirect
90. #17988901C22semidirect
91. #17988899C22semidirect
92. #17988898C22semidirect
93. #17988895C22semidirect
94. #17988891C22semidirect
95. #17988888C22semidirect
96. #17988887C22semidirect
97. #17988887C22semidirect
98. #17988884C22semidirect
99. #17988881C22semidirect
100. #17988876C22semidirect
101. #17988875C22semidirect
102. #17988875C22semidirect
103. #17988871C22semidirect
104. #17988866C22semidirect
105. #17988865C22semidirect
106. #17988865C22semidirect
107. #17988788C22semidirect
108. #17988786C22semidirect
109. #17988786C22semidirect
110. #17988784C22semidirect
111. #17988783C22semidirect
112. #17988782C22semidirect
113. #17988782C22semidirect
114. #17988781C22semidirect
115. #17988781C22semidirect
116. #17988780C22semidirect
117. #17988780C22semidirect
118. #17988780C22semidirect
119. #17988780C22semidirect
120. #17988779C22semidirect
121. #17988734C22semidirect
122. #17988734C22semidirect
123. #17988733C22semidirect
124. #17988733C22semidirect
125. #17988730C22semidirect
126. #17988730C22semidirect
127. #17988729C22semidirect
128. #17988729C22semidirect
129. #17988722C22semidirect
130. #17988722C22semidirect
131. #17988721C22semidirect
132. #17988721C22semidirect
133. #17988719C22semidirect
134. #17988719C22semidirect
135. #17988700C22semidirect
136. #17988699C22semidirect
137. #17988699C22semidirect
138. #17988698C22semidirect
139. #17988697C22semidirect
140. #17988697C22semidirect
141. #17988697C22semidirect
142. #17988696C22semidirect
143. #17988696C22semidirect
144. #17988696C22semidirect
145. #17988689C22semidirect
146. #17988687C22semidirect
147. #17988686C22semidirect
148. #17988684C22semidirect
149. #17988678C22semidirect
150. C4×#11924017C22semidirect
151. #17988674C22semidirect
152. C4×#11924016C22semidirect
153. C4×D584C22semidirect
154. D8×Dic73C22semidirect
155. D8×Dic73C22semidirect
156. #17988669C22semidirect
157. C4×#11924013C22semidirect
158. C4×#11924013C22semidirect
159. C4×#11924013C22semidirect
160. #17988667C22semidirect
161. #17988667C22semidirect
162. #17988667C22semidirect
163. #17988648C22semidirect
164. #17988647C22semidirect
165. #17988647C22semidirect
166. #17988642C22semidirect
167. #17988641C22semidirect
168. #17988638C22semidirect
169. #17988637C22semidirect
170. #17988628C22semidirect
171. #17988626C22semidirect
172. #17988624C22semidirect
173. #17988622C22semidirect
174. #17988609C22semidirect
175. C4⋊C8×D73C22semidirect
178. #17988590C22semidirect
179. #17988590C22semidirect
182. #102×D73C22semidirect
183. #102×D73C22semidirect
186. #17988544C22semidirect
187. #17988541C22semidirect
188. #540×C73C22semidirect
189. #518×C73C22semidirect
190. #482×C73C22semidirect
191. #482×C73C22semidirect
192. #478×C73C22semidirect
193. #478×C73C22semidirect
194. #459×C73C22semidirect
195. #459×C73C22semidirect
196. #447×C73C22semidirect
197. #447×C73C22semidirect
198. #442×C73C22semidirect
199. #442×C73C22semidirect
200. C4×D8×C73C22semidirect
201. C4×D8×C73C22semidirect
202. #433×C73C22semidirect
500. #11924027#41semidirect
542. D4×D73#41semidirect
921. #3122D73semidirect
947. C73#60590semidirect
964. #540C2×D73semidirect
985. #518C2×D73semidirect
1003. #482C2×D73semidirect
1004. #482C2×D73semidirect
1019. #478C2×D73semidirect
1020. #478C2×D73semidirect
1043. #459C2×D73semidirect
1044. #459C2×D73semidirect
1059. #447C2×D73semidirect
1060. #447C2×D73semidirect
1071. #442C2×D73semidirect
1072. #442C2×D73semidirect
1091. C4×D8C2×D73semidirect
1092. C4×D8C2×D73semidirect
1096. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238032
#226231352
#226201762
#226201742
#226201722
#226201352
#226201322
#226201272
#226201242
#226200782
#226200772
#226200202
#226200172
#226199872
#226199862
#226199292
#226199262
#226198862
#226198842
#226197262
#226197162
#226194062
#459×D732
#226191942
#226187802
#226187782
#226187602
#226187562
#226185942
C73×#31222
#6059073