Finite Group Databasebeta

← #33970589

Subgroups — #33970589

Order 18688.

1940 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623953C211yesmaximal, characteristic, complemented
2#22623933C211yesmaximal, characteristic, complemented
3#22622902C211yesmaximal, characteristic, complemented
4#22622801C211yesmaximal, characteristic, complemented
5#22622663C211yesmaximal, characteristic, complemented
6#22622633C211yesmaximal, characteristic, complemented
7#22622534C211yesmaximal, characteristic, complemented
8#22622530C211yesmaximal, characteristic, complemented
9#22622524C211yesmaximal, characteristic, complemented
10#22622076C211yesmaximal, characteristic, complemented
11#22622069C211yesmaximal, characteristic, complemented
12#22621944C211yesmaximal, characteristic, complemented
13#22621935C211yesmaximal, characteristic, complemented
14#22621879C211yesmaximal, characteristic, complemented
15#22621737C211yesmaximal, characteristic, complemented
16#22621554C211yesmaximal, characteristic, complemented
17#22621549C211yesmaximal, characteristic, complemented
18#22621549C211yesmaximal, characteristic, complemented
19#22620666C211yesmaximal, characteristic, complemented
20#22620577C211yesmaximal, characteristic, complemented
21#22620575C211yesmaximal, characteristic, complemented
22#22620173C211yesmaximal, characteristic, complemented
23#22620134C211yesmaximal, characteristic, complemented
24#22620132C211yesmaximal, characteristic, complemented
25#22619987C211yesmaximal, characteristic, complemented
26#22619929C211yesmaximal, characteristic, complemented
27#22618933C211yesmaximal, characteristic, complemented
28#22618763C211yesmaximal, characteristic, complemented
29#22618756C211yesmaximal, characteristic, complemented
30#22618742C211yesmaximal, characteristic, complemented
31C73×#3122C211yesmaximal, characteristic, complemented
32C2×#14556617C2211yescharacteristic
33C2×#14556615C2211yescharacteristic
34C2×#14556615C2211yescharacteristic
35#17989314C2211yescharacteristic, complemented
36#17989300C2211yescharacteristic
37#17989296C2211yescharacteristic
38#17989290C2211yescharacteristic, complemented
39#17989289C2211yescharacteristic, complemented
40#17989287C2211yescharacteristic
41#17989286—21no—
42#17989282—21no—
43#17989281C2211yescharacteristic
44#17989280—21no—
45#17989258C2211yescharacteristic
46#17989257C2211yescharacteristic, complemented
47#17989257C2211yescharacteristic, complemented
48#17989255—21no—
49#17989255C2211yescharacteristic, complemented
50#17989255C2211yescharacteristic, complemented
51#17989237C2211yescharacteristic, complemented
52#17989235—21no—
53#17989233—21no—
54#17989227—21no—
55#17989227—21no—
56D4×D292C2211yescharacteristic
57D4×C22⋊D73C2211yescharacteristic
58D4×C22⋊D73C2211yescharacteristic
59#17989192C2211yescharacteristic
60#17989189—21no—
61#17989188C2211yescharacteristic
62#17989188C2211yescharacteristic, complemented
63#17989187—21no—
64#17989175—21no—
65#17989170—21no—
66#17989134C2211yescharacteristic
67#17989134C2211yescharacteristic, complemented
68#17989132—21no—
69#17989115C2211yescharacteristic
70#17989114—21no—
71#17989096—21no—
72C2×#14556564—21no—
73#17989067C2211yescharacteristic, complemented
74#17989066C2211yescharacteristic, complemented
75#17989059C2211yescharacteristic
76C4×#11924027C2211yescharacteristic, complemented
77C4×D4×D73C2211yescharacteristic
78#17988988C2211yescharacteristic, complemented
79#17988986C2211yescharacteristic, complemented
80#17988984C2211yescharacteristic, complemented
81#17988963C2211yescharacteristic, complemented
82#17988962C2211yescharacteristic, complemented
83#17988962C2211yescharacteristic, complemented
84#17988953C2211yescharacteristic, complemented
85#17988951C2211yescharacteristic, complemented
86#17988950C2211yescharacteristic, complemented
87#17988950C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic, complemented
90#17988914C2211yescharacteristic, complemented
91#17988913C2211yescharacteristic, complemented
92#17988910C2211yescharacteristic, complemented
93#17988910C2211yescharacteristic, complemented
94#17988907C2211yescharacteristic, complemented
95#17988906C2211yescharacteristic, complemented
96#17988902C2211yescharacteristic, complemented
97#17988901C2211yescharacteristic, complemented
98#17988899C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic, complemented
100#17988897C2211yescharacteristic, complemented
101#17988895C2211yescharacteristic, complemented
102#17988889C2211yescharacteristic
103#17988888C2211yescharacteristic, complemented
104#17988886C2211yescharacteristic, complemented
105#17988885C2211yescharacteristic, complemented
106#17988881C2211yescharacteristic, complemented
107#17988875C2211yescharacteristic, complemented
108#17988866C2211yescharacteristic, complemented
109#17988865C2211yescharacteristic
110#17988841C2211yescharacteristic, complemented
111#17988839C2211yescharacteristic, complemented
112#17988839C2211yescharacteristic, complemented
113#17988839C2211yescharacteristic, complemented
114#17988839C2211yescharacteristic, complemented
115#17988838C2211yescharacteristic, complemented
116#17988838C2211yescharacteristic, complemented
117#17988837C2211yescharacteristic, complemented
118#17988824C2211yescharacteristic, complemented
119#17988821C2211yescharacteristic, complemented
120#17988821C2211yescharacteristic, complemented
121#17988820C2211yescharacteristic, complemented
122#17988788C2211yescharacteristic, complemented
123#17988786C2211yescharacteristic, complemented
124#17988786C2211yescharacteristic, complemented
125#17988783C2211yescharacteristic, complemented
126#17988781C2211yescharacteristic, complemented
127#17988781C2211yescharacteristic, complemented
128#17988780C2211yescharacteristic
129#17988780C2211yescharacteristic
130#17988780C2211yescharacteristic, complemented
131#17988780C2211yescharacteristic, complemented
132#17988734C2211yescharacteristic, complemented
133#17988734C2211yescharacteristic, complemented
134#17988733C2211yescharacteristic, complemented
135#17988733C2211yescharacteristic, complemented
136#17988729C2211yescharacteristic, complemented
137#17988729C2211yescharacteristic, complemented
138#17988722C2211yescharacteristic
139#17988722C2211yescharacteristic
140#17988719C2211yescharacteristic
141#17988719C2211yescharacteristic
142#17988716C2211yescharacteristic, complemented
143#17988711C2211yescharacteristic, complemented
144#17988700C2211yescharacteristic, complemented
145#17988699C2211yescharacteristic
146#17988697C2211yescharacteristic
147#17988697C2211yescharacteristic, complemented
148#17988697C2211yescharacteristic, complemented
149#17988697C2211yescharacteristic, complemented
150#17988689C2211yescharacteristic, complemented
151#17988687C2211yescharacteristic
152#17988687C2211yescharacteristic, complemented
153#17988686C2211yescharacteristic, complemented
154#17988678C2211yescharacteristic
155#17988678C2211yescharacteristic
156C4×#11924017C2211yescharacteristic, complemented
157#17988674C2211yescharacteristic, complemented
158C4×#11924016C2211yescharacteristic
159C4×#11924016C2211yescharacteristic, complemented
160C4×D584C2211yescharacteristic, complemented
161D8×Dic73C2211yescharacteristic
162C4×#11924013C2211yescharacteristic
163C4×#11924013C2211yescharacteristic, complemented
164C4×#11924013C2211yescharacteristic, complemented
165C4×#11924013C2211yescharacteristic, complemented
166#17988667C2211yescharacteristic, complemented
167#17988667C2211yescharacteristic, complemented
168#17988664C2211yescharacteristic, complemented
169#17988662C2211yescharacteristic, complemented
170#17988662C2211yescharacteristic, complemented
171#17988657C2211yescharacteristic, complemented
172#17988655C2211yescharacteristic, complemented
173#17988650C2211yescharacteristic, complemented
174#17988649C2211yescharacteristic, complemented
175#17988638C2211yescharacteristic, complemented
176#17988630C2211yescharacteristic, complemented
177#17988628C2211yescharacteristic, complemented
178#17988626C2211yescharacteristic, complemented
179#17988590C2211yescharacteristic
180#17988585C2211yescharacteristic, complemented
181#17988581C2211yescharacteristic, complemented
182#17988580C2211yescharacteristic, complemented
183C2×#14556512C2211yescharacteristic
184#102×D73C2211yescharacteristic
185#17988543C2211yescharacteristic, complemented
186#17988541C2211yescharacteristic, complemented
187#17988539C2211yescharacteristic, complemented
188#540×C73C2211yescharacteristic, complemented
189#518×C73C2211yescharacteristic
190#482×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#478×C73C2211yescharacteristic
193#478×C73C2211yescharacteristic, complemented
194#459×C73C2211yescharacteristic
195#459×C73C2211yescharacteristic, complemented
196#447×C73C2211yescharacteristic
197#447×C73C2211yescharacteristic
198#442×C73C2211yescharacteristic
199#442×C73C2211yescharacteristic, complemented
200C4×D8×C73C2211yescharacteristic
201C4×D8×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924028—21no—
205C2×#11924028—21no—
206C2×#11924028C2311yescharacteristic
207C2×#11924027—21no—
208C2×#11924027—21no—
209C2×#11924027C2311yescharacteristic
210C2×#11924027C2311yescharacteristic
211C22×D292—21no—
212C22×C22⋊D73—21no—
213C22×C22⋊D73—21no—
214C2×D4×D73C2311yescharacteristic
215C2×D4×D73C2311yescharacteristic
216C22×C4×D73—21no—
217#14556617—24no—
218#14556615—24no—
219#14556615—24no—
220C2×#11924017C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×D584C2311yescharacteristic
225C2×D584C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924013C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232C2×#11924012C2311yescharacteristic
233C2×#11924011C2311yescharacteristic
234C2×#11924011C2311yescharacteristic
235C2×#11924011C2311yescharacteristic
236C22×#10596831C2311yescharacteristic
237C2×C8×D73C2311yescharacteristic
238#14556590—21no—
239#14556590C2311yescharacteristic
240#14556590C2311yescharacteristic
241#14556588C2311yescharacteristic
242#14556587—21no—
243#14556587—21no—
244#14556587—21no—
245#14556587C2311yescharacteristic
246#14556587C2311yescharacteristic
247#14556587C2311yescharacteristic
248#14556587C2311yescharacteristic
249#14556586—21no—
250#14556586D411yescharacteristic
251#14556585—21no—
252#14556584—21no—
253#14556584—21no—
254#14556584D411yescharacteristic
255#14556583C2311yescharacteristic
256#14556582C2311yescharacteristic
257#14556582C2311yescharacteristic
258#14556581—21no—
259#14556581—21no—
260#14556581D411yescharacteristic
261#14556579—21no—
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556577D411yescharacteristic
266#14556576—21no—
267#14556576—21no—
268#14556576—21no—
269#14556576D411yescharacteristic
270#14556575—21no—
271#14556574—21no—
272#14556574—21no—
273#14556574—21no—
274#14556573—21no—
275#14556573—21no—
276#14556573—21no—
277#14556573—21no—
278#14556573D411yescharacteristic
279#14556572—21no—
280#14556570—21no—
281#14556569D411yescharacteristic
282#14556568—21no—
283#14556568—21no—
284#14556568—21no—
285#14556566—21no—
286#14556566C2311yescharacteristic
287#14556566C2311yescharacteristic
288#14556566C2311yescharacteristic
289#14556566C2311yescharacteristic
290#14556565—21no—
291#14556565—21no—
292#14556565—21no—
293#14556565—21no—
294#14556565C2311yescharacteristic
295#14556565C2311yescharacteristic
296#14556564—21no—
297#14556564—21no—
298#14556564—21no—
299#14556564—21no—
300#14556564—21no—
301#14556564—21no—
302#14556564—21no—
303#14556564—21no—
304#14556564—21no—
305#14556564—21no—
306#14556564—21no—
307#14556564—21no—
308#14556564—21no—
309#14556564D411yescharacteristic
310#14556563—21no—
311#14556563—21no—
312#14556563—21no—
313#14556563—21no—
314#14556563—21no—
315#14556563—21no—
316#14556563—21no—
317#14556563—21no—
318#14556563—21no—
319#14556562—21no—
320#14556562C2311yescharacteristic
321#14556562C2311yescharacteristic
322#14556562C2311yescharacteristic
323#14556562C2311yescharacteristic
324#14556561—21no—
325#14556561—21no—
326#14556560—21no—
327#14556560—21no—
328#14556559—21no—
329#14556559—21no—
330C4×Dic146C2311yescharacteristic
331C4×Dic146C2311yescharacteristic
332C4×Dic146C2311yescharacteristic
333#14556556—21no—
334#14556556C2311yescharacteristic
335#14556556C2311yescharacteristic
336C4×D292—21no—
337C4×D292C2311yescharacteristic
338C4×D292C2311yescharacteristic
339C4×D292C2311yescharacteristic
340C4×D292C2311yescharacteristic
341C4×D292C2311yescharacteristic
342D4×Dic73—21no—
343D4×Dic73—21no—
344D4×Dic73C2311yescharacteristic
345D4×Dic73C2311yescharacteristic
346D4×Dic73C2311yescharacteristic
347D4×Dic73C2311yescharacteristic
348#14556553—21no—
349#14556553C2311yescharacteristic
350#14556553C2311yescharacteristic
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73C2311yescharacteristic
359C4×C22⋊D73C2311yescharacteristic
360#14556551—21no—
361#14556551—21no—
362#14556551—21no—
363#14556551—21no—
364#14556551—21no—
365#14556551—21no—
366#14556551—21no—
367#14556551—21no—
368#14556549—21no—
369#14556549C2311yescharacteristic
370#14556549C2311yescharacteristic
371#14556548—21no—
372#14556548C2311yescharacteristic
373#14556547—21no—
374#14556547—21no—
375C2×C4⋊Dic73C2311yescharacteristic
376C2×#11924007—21no—
377C2×#11924007—21no—
378C4⋊C4×D73—21no—
379C4⋊C4×D73C2311yescharacteristic
380C4⋊C4×D73C2311yescharacteristic
381C2×#11924005—21no—
382C22⋊C4×D73—21no—
383C22⋊C4×D73—21no—
384C2×C4×Dic73—21no—
385C42×D73C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556513C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556512C2311yescharacteristic
413#14556512C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556502C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556501C2311yescharacteristic
433C4×#10596831C2311yescharacteristic
434C4×#10596831C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C22×D4×C73C2311yescharacteristic
439C2×D8×C73C2311yescharacteristic
440C2×D8×C73C2311yescharacteristic
441C2×D8×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443#127×C73C2311yescharacteristic
444#125×C73C2311yescharacteristic
445#123×C73—21no—
446#123×C73—21no—
447#121×C73—21no—
448#121×C73—21no—
449#121×C73C2311yescharacteristic
450#121×C73C2311yescharacteristic
451C4×D4×C73—21no—
452C4×D4×C73—21no—
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459#117×C73C2311yescharacteristic
460#117×C73C2311yescharacteristic
461C2×C22⋊C4×C73—21no—
462C2×C22⋊C4×C73—21no—
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469#102×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477C22⋊C8×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924028—22no—
484#11924028—41no—
485#11924028—82no—
486#11924028—82no—
487#11924028—82no—
488#11924027—22no—
489#11924027—22no—
490#11924027—41no—
491#11924027—41no—
492#11924027—82no—
493#11924027—82no—
494C2×Dic146—21no—
495C2×Dic146—21no—
496C2×Dic146C2×D411yescharacteristic
497C2×Dic146C2411yescharacteristic
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—82no—
505C2×D292C2×D411yescharacteristic
506C2×D292C2411yescharacteristic
507C2×D292C2411yescharacteristic
508C2×D292C2411yescharacteristic
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
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—82no—
529C2×C22⋊D73—82no—
530C2×C22⋊D73C2×D411yescharacteristic
531C2×C22⋊D73C2×D411yescharacteristic
532D4×D73—22no—
533D4×D73—22no—
534D4×D73—41no—
535D4×D73—41no—
536C22×Dic73—21no—
537C22×Dic73—21no—
538C22×Dic73—21no—
539C22×Dic73—21no—
540C22×Dic73—21no—
541C22×Dic73—21no—
542C22×Dic73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—21no—
550C2×C4×D73—21no—
551C2×C4×D73—21no—
552C2×C4×D73—82no—
553C2×C4×D73C2×D411yescharacteristic
554C2×C4×D73C2×D411yescharacteristic
555C2×C4×D73C2411yescharacteristic
556C2×C4×D73C2411yescharacteristic
557#11924017—22no—
558#11924017—22no—
559#11924016—22no—
560#11924016#4114yescomplemented
561D584—41no—
562D584—41no—
563#11924013—22no—
564#11924013—22no—
565#11924013—22no—
566#11924013—22no—
567#11924013—41no—
568#11924013—41no—
569#11924012—22no—
570#11924011—22no—
571#11924011—22no—
572#11924011—41no—
573C2×#10596831—41no—
574C2×#10596831C2411yescharacteristic
575C2×#10596831C2411yescharacteristic
576C2×#10596831C2411yescharacteristic
577C2×#10596831C2411yescharacteristic
578C8×D73—41no—
579C4⋊Dic73—21no—
580C4⋊Dic73—21no—
581C4⋊Dic73—21no—
582C4⋊Dic73C2×D411yescharacteristic
583C4⋊Dic73C2×D411yescharacteristic
584C4⋊Dic73C2411yescharacteristic
585C4⋊Dic73C2411yescharacteristic
586C4⋊Dic73C2411yescharacteristic
587C4⋊Dic73C2411yescharacteristic
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007C2×D411yescharacteristic
601#11924007C2×D411yescharacteristic
602#11924007C2×D411yescharacteristic
603#11924007C2×D411yescharacteristic
604#11924007C2×D411yescharacteristic
605#11924007C2×D411yescharacteristic
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73C2×D411yescharacteristic
615C22⋊Dic73C2×D411yescharacteristic
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—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#11924005C2×D411yescharacteristic
631#11924005C2×D411yescharacteristic
632#11924005C2×D411yescharacteristic
633#11924005C2×D411yescharacteristic
634#11924005C2×D411yescharacteristic
635#11924005C2×D411yescharacteristic
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2×D411yescharacteristic
644C4×Dic73C2411yescharacteristic
645C4×Dic73C2411yescharacteristic
646C24×C73—21no—
647C2×D4×C73—22no—
648C2×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73—21no—
651C2×D4×C73—21no—
652C2×D4×C73—21no—
653C2×D4×C73—41no—
654C2×D4×C73C2411yescharacteristic
655C2×D4×C73C2411yescharacteristic
656C2×D4×C73C2411yescharacteristic
657C2×D4×C73C2411yescharacteristic
658C22×C4×C73—21no—
659C22×C4×C73—21no—
660C22×C4×C73—21no—
661C22×C4×C73—21no—
662C22×C4×C73—21no—
663C22×C4×C73—21no—
664C22×C4×C73C2411yescharacteristic
665D8×C73—22no—
666D8×C73—22no—
667D8×C73—41no—
668D8×C73—41no—
669C2×C8×C73C2411yescharacteristic
670C2×C8×C73C2411yescharacteristic
671C2×C8×C73C2411yescharacteristic
672C2×C8×C73C2411yescharacteristic
673C4⋊C4×C73—21no—
674C4⋊C4×C73—21no—
675C4⋊C4×C73C2×D411yescharacteristic
676C4⋊C4×C73C2×D411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C4⋊C4×C73C2411yescharacteristic
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73—21no—
687C22⋊C4×C73—21no—
688C22⋊C4×C73—21no—
689C22⋊C4×C73—21no—
690C22⋊C4×C73C2×D411yescharacteristic
691C22⋊C4×C73C2×D411yescharacteristic
692C42×C73—21no—
693C42×C73C2411yescharacteristic
694C42×C73C2411yescharacteristic
695C23×C73—21no—
696C23×C73—21no—
697C23×C73—21no—
698C23×C73—21no—
699C23×C73—42no—
700C23×C73—81no—
701C23×C73—81no—
702C23×C73C22×D411yescharacteristic
703C22×D73—21no—
704C22×D73—21no—
705C22×D73—21no—
706C22×D73—42no—
707C22×D73—42no—
708C22×D73—42no—
709C22×D73—81no—
710C22×D73—81no—
711C22×D73—81no—
712C22×D73C22×D411yescharacteristic
713C22×D73C22×D411yescharacteristic
714D4×C73—21no—
715D4×C73—21no—
716D4×C73—21no—
717D4×C73—21no—
718D4×C73—21no—
719D4×C73—21no—
720D4×C73—21no—
721D4×C73—42no—
722D4×C73—81no—
723D4×C73—81no—
724D4×C73—81no—
725D4×C73—81no—
726D4×C73C2×#4112yes—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—81no—
734C2×C4×C73—81no—
735C2×C4×C73—81no—
736C2×C4×C73—81no—
737C2×C4×C73—81no—
738C2×C4×C73—81no—
739C2×C4×C73C22×D411yescharacteristic
740C2×C4×C73C22×D411yescharacteristic
741C2×C4×C73C22×D411yescharacteristic
742C2×C4×C73C22×D411yescharacteristic
743C2×C4×C73C22×D411yescharacteristic
744C2×C4×C73C2511yescharacteristic
745C22⋊D73—22no—
746C22⋊D73—41no—
747C22⋊D73—42no—
748C22⋊D73—42no—
749C22⋊D73—42no—
750C22⋊D73—42no—
751C22⋊D73—42no—
752C22⋊D73—42no—
753C22⋊D73—42no—
754C22⋊D73—42no—
755C22⋊D73—81no—
756C22⋊D73—81no—
757C22⋊D73—81no—
758C22⋊D73—81no—
759C22⋊D73—81no—
760C22⋊D73—81no—
761C22⋊D73—81no—
762C22⋊D73—81no—
763C22⋊D73—81no—
764C22⋊D73—81no—
765C22⋊D73—81no—
766C2×Dic73—21no—
767C2×Dic73—21no—
768C2×Dic73—21no—
769C2×Dic73—21no—
770C2×Dic73—21no—
771C2×Dic73—42no—
772C2×Dic73—42no—
773C2×Dic73—42no—
774C2×Dic73—42no—
775C2×Dic73—81no—
776C2×Dic73—81no—
777C2×Dic73—81no—
778C2×Dic73C22×D411yescharacteristic
779C2×Dic73C22×D411yescharacteristic
780C2×Dic73C22×D411yescharacteristic
781C2×Dic73C22×D411yescharacteristic
782C2×Dic73C22×D411yescharacteristic
783C2×Dic73C22×D411yescharacteristic
784D292—21no—
785D292—21no—
786D292—21no—
787D292—21no—
788D292—21no—
789D292—21no—
790D292—41no—
791D292—42no—
792D292—81no—
793D292—81no—
794D292—81no—
795D292—81no—
796D292—81no—
797C4×D73—21no—
798C4×D73—21no—
799C4×D73—21no—
800C4×D73—21no—
801C4×D73—22no—
802C4×D73—41no—
803C4×D73—42no—
804C4×D73—42no—
805C4×D73—81no—
806C4×D73—81no—
807C4×D73—81no—
808C4×D73—81no—
809C4×D73—81no—
810C4×D73—81no—
811C4×D73—81no—
812Dic146—21no—
813Dic146—22no—
814Dic146—42no—
815Dic146—81no—
816Dic146C2×#4112yes—
817C8×C73—21no—
818C8×C73—21no—
819C8×C73—21no—
820C8×C73—21no—
821#10596831—21no—
822#10596831—21no—
823#10596831—21no—
824#10596831C2×#4112yes—
825C22×C73—21no—
826C22×C73—21no—
827C22×C73—22no—
828C22×C73—21no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73—162no—
841C22×C73C23×D411yescharacteristic
842C2×D73—21no—
843C2×D73—21no—
844C2×D73—21no—
845C2×D73—21no—
846C2×D73—21no—
847C2×D73—21no—
848C2×D73—41no—
849C2×D73—41no—
850C2×D73—41no—
851C2×D73—41no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—41no—
855C2×D73—41no—
856C2×D73—41no—
857C2×D73—84no—
858C2×D73—162no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—21no—
862C4×C73—21no—
863C4×C73—21no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73—41no—
867C4×C73—41no—
868C4×C73C22×#4111yescharacteristic
869C4×C73#58511yescharacteristic
870Dic73—21no—
871Dic73—21no—
872Dic73—22no—
873Dic73—21no—
874Dic73—21no—
875Dic73—21no—
876Dic73—41no—
877Dic73—41no—
878Dic73—41no—
879Dic73—41no—
880Dic73#57612yes—
881#61555—731nomaximal, Sylow
882C2×C73—42no—
883C2×C73—41no—
884C2×C73—81no—
885C2×C73—81no—
886C2×C73—81no—
887C2×C73D4×#4111yescharacteristic
888C2×C73C2×#57611yescharacteristic
889C2×C73#358511yescharacteristic
890D73—41no—
891D73—41no—
892D73—81no—
893D73—81no—
894D73—81no—
895#3519—731no—
896#3517—731no—
897#3391—731no—
898#3381—731no—
899#3368—731no—
900#3366—731no—
901#3355—731no—
902#3355—731no—
903#3354—731no—
904#3318—731no—
905#3318—731no—
906#3309—731no—
907#3309—731no—
908#3305—731no—
909#3294—731no—
910#3274—731no—
911#3274—731no—
912#3274—731no—
913#3184—731no—
914#3176—731no—
915#3176—731no—
916#3122—731no—
917#3122D7311yescharacteristic, complemented
918#3119—731no—
919#3119—731no—
920#3106—731no—
921#3100—731no—
922#2969—731no—
923#2946—731no—
924#2946—731no—
925C4×AGL(1,ℤ/8)—731no—
926C73#6155511yescharacteristic, complemented, Sylow
927C2×AGL(1,ℤ/8)—731no—
928C2×AGL(1,ℤ/8)—731no—
929C2×AGL(1,ℤ/8)—731no—
930#557—731no—
931#555—731no—
932#554—731no—
933#553—731no—
934#553—731no—
935#553—731no—
936#553—731no—
937#553—1461no—
938#553—1461no—
939#553—1461no—
940#550—731no—
941#550—731no—
942#550—731no—
943#550—731no—
944#550—731no—
945#550—1461no—
946#547—731no—
947#547—1461no—
948#546—1461no—
949#546—1461no—
950#546—1461no—
951D42—731no—
952D42—731no—
953D42—731no—
954#540—731no—
955#540—731no—
956#540—731no—
957#540—1461no—
958#540—1461no—
959#540C2×D7311yescharacteristic, complemented
960#538—1461no—
961#538—1461no—
962#532—731no—
963#532—731no—
964#532—1461no—
965#529—731no—
966#529—1461no—
967#525—1461no—
968C2×#121—1461no—
969#520—731no—
970#520—731no—
971#518—731no—
972#518C2×D7311yescharacteristic
973C4×#41—731no—
974C2×C4×D4—731no—
975#499—731no—
976#499—731no—
977#498—731no—
978#493—731no—
979#493—731no—
980#493—731no—
981#490—731no—
982#490—731no—
983#490—731no—
984#490—731no—
985#486—731no—
986#486—731no—
987#482—731no—
988#482—731no—
989#482—731no—
990#482—731no—
991#482C2×D7311yescharacteristic, complemented
992#482C2×D7311yescharacteristic, complemented
993#481—731no—
994#481—731no—
995#480—731no—
996#480—731no—
997#480—731no—
998#480—731no—
999#479—731no—
1000#479—731no—
1001#478—731no—
1002#478—731no—
1003#478—731no—
1004#478—731no—
1005#478C2×D7311yescharacteristic
1006#478C2×D7311yescharacteristic, complemented
1007#477—731no—
1008#476—731no—
1009#474—731no—
1010#474—731no—
1011#469—731no—
1012#469—731no—
1013#469—731no—
1014#469—731no—
1015#469—731no—
1016#469—731no—
1017#469—731no—
1018#469—731no—
1019#466—731no—
1020#466—731no—
1021#466—731no—
1022#466—731no—
1023#460—731no—
1024#460—731no—
1025#460—731no—
1026#459—731no—
1027#459—731no—
1028#459—731no—
1029#459—731no—
1030#459—731no—
1031#459—731no—
1032#459—731no—
1033#459C2×D7311yescharacteristic
1034#459C2×D7311yescharacteristic, complemented
1035#449—731no—
1036#449—731no—
1037#449—731no—
1038#449—731no—
1039#449—731no—
1040#449—731no—
1041#447—731no—
1042#447—731no—
1043#447—731no—
1044#447—731no—
1045#447C2×D7311yescharacteristic
1046#447C2×D7311yescharacteristic
1047#446—731no—
1048C8×Q8—731no—
1049#442—731no—
1050#442—731no—
1051#442—731no—
1052#442—731no—
1053#442—731no—
1054#442—731no—
1055#442C2×D7311yescharacteristic
1056#442C2×D7311yescharacteristic, complemented
1057#440—731no—
1058#440—731no—
1059#440—731no—
1060#440—731no—
1061C4×SD16—731no—
1062C4×SD16—731no—
1063C4×SD16—731no—
1064C4×SD16—731no—
1065C4×SD16—731no—
1066C4×SD16—731no—
1067C4×D8—731no—
1068C4×D8—731no—
1069C4×D8—731no—
1070C4×D8—731no—
1071C4×D8—731no—
1072C4×D8—731no—
1073C4×D8—731no—
1074C4×D8—731no—
1075C4×D8C2×D7311yescharacteristic
1076C4×D8C2×D7311yescharacteristic, complemented
1077#436—731no—
1078#436—731no—
1079#436—731no—
1080#435—731no—
1081#435—731no—
1082C8×D4—731no—
1083#433—731no—
1084#433C2×D7311yescharacteristic, complemented
1085#431—731no—
1086#428—731no—
1087#428—731no—
1088#428—731no—
1089#418—731no—
1090#417—731no—
1091#416—731no—
1092#416—731no—
1093C2×#102—731no—
1094C2×#102—731no—
1095#405—731no—
1096#405—731no—
1097C4×M16—731no—
1098C2×#41—731no—
1099C2×#41—731no—
1100C2×#41—731no—
1101C2×#41—1461no—
1102C2×#41—1461no—
1103C2×#41—1461no—
1104C2×#41—1461no—
1105C2×#41—1461no—
1106C22×D4—731no—
1107C22×D4—731no—
1108C22×D4—1461no—
1109C22×D4—1461no—
1110C22×D4—1461no—
1111C22×D4C22×D7311yescharacteristic
1112C23×C4—1461no—
1113AGL(1,ℤ/8)—1464no—
1114AGL(1,ℤ/8)—1464no—
1115AGL(1,ℤ/8)—1464no—
1116C2×SD16—731no—
1117C2×SD16—731no—
1118C2×SD16—731no—
1119C2×SD16—731no—
1120C2×D8—731no—
1121C2×D8—731no—
1122C2×D8—731no—
1123C2×D8—731no—
1124C2×D8—731no—
1125C2×D8—731no—
1126C2×D8—731no—
1127C2×D8—731no—
1128C2×D8C22×D7311yescharacteristic
1129C2×D8C22×D7311yescharacteristic
1130C2×D8C22×D7311yescharacteristic
1131C2×D8C22×D7311yescharacteristic
1132C2×M16—731no—
1133C2×M16—731no—
1134C2×M16—731no—
1135C2×M16—731no—
1136C22×C8—731no—
1137C22×C8—731no—
1138C4⋊Q8—731no—
1139C4⋊Q8—731no—
1140C4⋊Q8—1461no—
1141#127—731no—
1142#127—731no—
1143#127—731no—
1144#127—731no—
1145#127—731no—
1146#127—1461no—
1147#127—1461no—
1148#127—1461no—
1149#127C22×D7311yescharacteristic
1150#126—731no—
1151#126—731no—
1152#126—1461no—
1153#126—1461no—
1154#126—1461no—
1155#126—1461no—
1156#125—731no—
1157#125—731no—
1158#125—731no—
1159#125—731no—
1160#125—1461no—
1161#125—1461no—
1162#125C22×D7311yescharacteristic
1163#124—731no—
1164#124—1461no—
1165#124—1461no—
1166#124—1461no—
1167#124—1461no—
1168#123—21no—
1169#123—21no—
1170#123—731no—
1171#123—731no—
1172#123—1461no—
1173#123—1461no—
1174#123—1461no—
1175#123—1461no—
1176#123—1461no—
1177#123—1461no—
1178#123—1461no—
1179#123—1461no—
1180#123—1461no—
1181#123—1461no—
1182#123—1461no—
1183#123—1461no—
1184C22⋊Q8—731no—
1185C22⋊Q8—1461no—
1186C22⋊Q8—1461no—
1187C22⋊Q8—1461no—
1188C22⋊Q8—1461no—
1189#121—21no—
1190#121—21no—
1191#121—731no—
1192#121—731no—
1193#121—731no—
1194#121—731no—
1195#121—731no—
1196#121—731no—
1197#121—731no—
1198#121—731no—
1199#121—731no—
1200#121—731no—
1201#121—731no—
1202#121—1461no—
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#121—1461no—
1214#121—1461no—
1215#121—1461no—
1216#121—1461no—
1217#121—1461no—
1218#121—1461no—
1219#121—1461no—
1220#121—1461no—
1221#121—1461no—
1222#121—1461no—
1223#121—1461no—
1224#121—1461no—
1225#121—1461no—
1226#121—1461no—
1227#121—1461no—
1228#121—1461no—
1229#121—1461no—
1230#121C22×D7311yescharacteristic
1231#121C22×D7311yescharacteristic
1232#120—1461no—
1233#120—1461no—
1234#120—1461no—
1235#120—1461no—
1236#120—1461no—
1237#120—1461no—
1238C4×Q8—731no—
1239C4×Q8—731no—
1240C4×Q8—731no—
1241C4×Q8—731no—
1242C4×Q8—731no—
1243C4×Q8—1461no—
1244C4×D4—21no—
1245C4×D4—21no—
1246C4×D4—731no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—731no—
1254C4×D4—731no—
1255C4×D4—731no—
1256C4×D4—731no—
1257C4×D4—731no—
1258C4×D4—731no—
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×D4C22×D7311yescharacteristic
1279C4×D4C22×D7311yescharacteristic
1280C4×D4C22×D7311yescharacteristic
1281C4×D4C22×D7311yescharacteristic
1282C4×D4C22×D7311yescharacteristic
1283C4×D4C22×D7311yescharacteristic
1284#117—731no—
1285#117—731no—
1286#117—731no—
1287#117—1461no—
1288#117—1461no—
1289#117—1461no—
1290#117—1461no—
1291#117C22×D7311yescharacteristic
1292#117C22×D7311yescharacteristic
1293C2×C4⋊C4—731no—
1294C2×C4⋊C4—731no—
1295C2×C4⋊C4—731no—
1296C2×C4⋊C4—1461no—
1297C2×C4⋊C4—1461no—
1298C2×C4⋊C4—1461no—
1299C2×C22⋊C4—21no—
1300C2×C22⋊C4—21no—
1301C2×C22⋊C4—1461no—
1302C2×C22⋊C4—1461no—
1303C2×C22⋊C4—1461no—
1304C2×C42—731no—
1305C2×C42—1461no—
1306#107—731no—
1307#107—731no—
1308#107—731no—
1309#107—731no—
1310#107—731no—
1311#107—731no—
1312#107C22×D7311yescharacteristic
1313#107C22×D7311yescharacteristic
1314#106—731no—
1315#106—731no—
1316#106—731no—
1317#106—731no—
1318#106—731no—
1319#106—731no—
1320#106C22×D7311yescharacteristic
1321#106C22×D7311yescharacteristic
1322C4⋊C8—731no—
1323C4⋊C8—731no—
1324C4⋊C8—731no—
1325C4⋊C8—731no—
1326C4⋊C8C22×D7311yescharacteristic
1327C4⋊C8C22×D7311yescharacteristic
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103—731no—
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102—731no—
1341#102—731no—
1342#102—731no—
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102—731no—
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102C22×D7311yescharacteristic
1353#102C22×D7311yescharacteristic
1354#102C22×D7311yescharacteristic
1355#102C22×D7311yescharacteristic
1356#102C22×D7311yescharacteristic
1357#102C22×D7311yescharacteristic
1358#102C22×D7311yescharacteristic
1359#102C22×D7311yescharacteristic
1360C22⋊C8—731no—
1361C22⋊C8—731no—
1362C22⋊C8—731no—
1363C22⋊C8—731no—
1364C22⋊C8C22×D7311yescharacteristic
1365C22⋊C8C22×D7311yescharacteristic
1366#97—731no—
1367#97—731no—
1368#97—731no—
1369#97C22×D7311yescharacteristic
1370C4×C8—731no—
1371C4×C8—731no—
1372C4×C8—731no—
1373C4×C8—731no—
1374C4×C8—731no—
1375C4×C8C22×D7311yescharacteristic
1376C24—21no—
1377C24—1461no—
1378C24—1461no—
1379#41—2921no—
1380#41—2921no—
1381#41—2921no—
1382#41—5842no—
1383#41—5842no—
1384#41—5842no—
1385#41—5842no—
1386#41—5842no—
1387#41—1462no—
1388#41—1462no—
1389#41—1462no—
1390C2×Q8—731no—
1391C2×Q8—731no—
1392C2×Q8—1461no—
1393C2×Q8—1461no—
1394C2×D4—22no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—41no—
1401C2×D4—2921no—
1402C2×D4—2921no—
1403C2×D4—5842no—
1404C2×D4—5842no—
1405C2×D4—5842no—
1406C2×D4—731no—
1407C2×D4—731no—
1408C2×D4—731no—
1409C2×D4—731no—
1410C2×D4—731no—
1411C2×D4—731no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4—1461no—
1417C2×D4—1461no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1461no—
1428C2×D4—1461no—
1429C2×D4—1461no—
1430C2×D4—1462no—
1431C2×D4—1462no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4—1461no—
1436C2×D4—1461no—
1437C2×D4—1461no—
1438C2×D4—1461no—
1439C2×D4C23×D7311yescharacteristic
1440C2×D4C23×D7311yescharacteristic
1441C2×D4C23×D7311yescharacteristic
1442C2×D4C23×D7311yescharacteristic
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—5842no—
1450C22×C4—731no—
1451C22×C4—731no—
1452C22×C4—731no—
1453C22×C4—731no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4—1461no—
1463C22×C4—1461no—
1464C22×C4—1461no—
1465C22×C4—1461no—
1466C22×C4—1461no—
1467C22×C4—1461no—
1468C22×C4—1461no—
1469C22×C4—1461no—
1470C22×C4C23×D7311yescharacteristic
1471SD16—734no—
1472SD16—1462no—
1473SD16—1462no—
1474SD16—1462no—
1475D8—22no—
1476D8—22no—
1477D8—41no—
1478D8—41no—
1479D8—2921no—
1480D8—2921no—
1481D8—2921no—
1482D8—2921no—
1483D8—1462no—
1484D8—1462no—
1485D8—1462no—
1486D8—1462no—
1487M16—2921no—
1488M16—1462no—
1489M16—1462no—
1490M16—1462no—
1491C2×C8—2921no—
1492C2×C8—2921no—
1493C2×C8—731no—
1494C2×C8—731no—
1495C2×C8—731no—
1496C2×C8—731no—
1497C2×C8C23×D7311yescharacteristic
1498C2×C8C23×D7311yescharacteristic
1499C2×C8C23×D7311yescharacteristic
1500C2×C8C23×D7311yescharacteristic
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—731no—
1504C4⋊C4—731no—
1505C4⋊C4—731no—
1506C4⋊C4—731no—
1507C4⋊C4—731no—
1508C4⋊C4—731no—
1509C4⋊C4—731no—
1510C4⋊C4—731no—
1511C4⋊C4—731no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—731no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4D4×D7311yescharacteristic
1531C4⋊C4D4×D7311yescharacteristic
1532C4⋊C4C23×D7311yescharacteristic
1533C4⋊C4C23×D7311yescharacteristic
1534C4⋊C4C23×D7311yescharacteristic
1535C4⋊C4C23×D7311yescharacteristic
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—731no—
1546C22⋊C4—731no—
1547C22⋊C4—731no—
1548C22⋊C4—731no—
1549C22⋊C4—731no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—731no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4D4×D7311yescharacteristic
1576C22⋊C4D4×D7311yescharacteristic
1577C42—21no—
1578C42—731no—
1579C42—731no—
1580C42—731no—
1581C42—731no—
1582C42—1461no—
1583C42—1461no—
1584C42—1461no—
1585C42—1461no—
1586C42—1461no—
1587C42—1461no—
1588C42C23×D7311yescharacteristic
1589C42C23×D7311yescharacteristic
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—42no—
1595C23—81no—
1596C23—81no—
1597C23—2922no—
1598C23—2922no—
1599C23—2922no—
1600C23—5841no—
1601C23—5841no—
1602C23—5841no—
1603C23—731no—
1604C23—731no—
1605C23—1461no—
1606C23—1461no—
1607C23—1461no—
1608C23C2×D4×D7311yescharacteristic
1609Q8—2922no—
1610Q8—5841no—
1611Q8—732no—
1612Q8—1462no—
1613Q8—1461no—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—21no—
1619D4—21no—
1620D4—21no—
1621D4—42no—
1622D4—81no—
1623D4—81no—
1624D4—81no—
1625D4—81no—
1626D4—2921no—
1627D4—2922no—
1628D4—2922no—
1629D4—2922no—
1630D4—2922no—
1631D4—2922no—
1632D4—2922no—
1633D4—2922no—
1634D4—2921no—
1635D4—2922no—
1636D4—2922no—
1637D4—5841no—
1638D4—5841no—
1639D4—5841no—
1640D4—5841no—
1641D4—5841no—
1642D4—5841no—
1643D4—5841no—
1644D4—5841no—
1645D4—5841no—
1646D4—5841no—
1647D4—5841no—
1648D4—5841no—
1649D4—5841no—
1650D4—5841no—
1651D4—5841no—
1652D4—5841no—
1653D4—1462no—
1654D4—1461no—
1655D4—1461no—
1656D4—1461no—
1657D4—1461no—
1658D4—1461no—
1659D4—1461no—
1660D4#41×D7312yes—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—81no—
1668C2×C4—81no—
1669C2×C4—81no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4—81no—
1673C2×C4—2922no—
1674C2×C4—2921no—
1675C2×C4—2922no—
1676C2×C4—2922no—
1677C2×C4—2922no—
1678C2×C4—2922no—
1679C2×C4—2922no—
1680C2×C4—5841no—
1681C2×C4—5841no—
1682C2×C4—5841no—
1683C2×C4—5841no—
1684C2×C4—5841no—
1685C2×C4—5841no—
1686C2×C4—5841no—
1687C2×C4—5841no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—731no—
1691C2×C4—731no—
1692C2×C4—731no—
1693C2×C4—731no—
1694C2×C4—731no—
1695C2×C4—731no—
1696C2×C4—1462no—
1697C2×C4—1461no—
1698C2×C4—1461no—
1699C2×C4—1461no—
1700C2×C4—1461no—
1701C2×C4—1461no—
1702C2×C4—1461no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4—1461no—
1706C2×C4C2×D4×D7311yescharacteristic
1707C2×C4C2×D4×D7311yescharacteristic
1708C2×C4C2×D4×D7311yescharacteristic
1709C2×C4C2×D4×D7311yescharacteristic
1710C2×C4C2×D4×D7311yescharacteristic
1711C2×C4C24×D7311yescharacteristic
1712C8—21no—
1713C8—21no—
1714C8—21no—
1715C8—21no—
1716C8—732no—
1717C8—1461no—
1718C8—1461no—
1719C8—1461no—
1720C22—21no—
1721C22—21no—
1722C22—22no—
1723C22—21no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—162no—
1736C22—2921no—
1737C22—2921no—
1738C22—2921no—
1739C22—2921no—
1740C22—2921no—
1741C22—2921no—
1742C22—2921no—
1743C22—2921no—
1744C22—2921no—
1745C22—5844no—
1746C22—11682no—
1747C22—1461no—
1748C22—1461no—
1749C22—1461no—
1750C22—1461no—
1751C22—1461no—
1752C22—1461no—
1753C22C22×D4×D7311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—2921no—
1764C4—2921no—
1765C4—2921no—
1766C4—2921no—
1767C4—732no—
1768C4—1461no—
1769C4—1462no—
1770C4—1461no—
1771C4—1461no—
1772C4—1461no—
1773C4—1461no—
1774C4C2×#41×D7311yescharacteristic
1775C4#1798942311yescharacteristic
1776C2—41no—
1777C2—42no—
1778C2—81no—
1779C2—81no—
1780C2—81no—
1781C2—2921no—
1782C2—2921no—
1783C2—5841no—
1784C2—5841no—
1785C2—5841no—
1786C2#2262341411yescharacteristic
1787C2#576×D7311yescharacteristic
1788C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3122C2
socleC22×C73C23×D4
hypercenter#3122D73
hypocenterC73#61555
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. #22623953C2semidirect
2. #22623933C2semidirect
3. #22622902C2semidirect
4. #22622801C2semidirect
5. #22622663C2semidirect
6. #22622633C2semidirect
7. #22622534C2semidirect
8. #22622530C2semidirect
9. #22622524C2semidirect
10. #22622076C2semidirect
11. #22622069C2semidirect
12. #22621944C2semidirect
13. #22621935C2semidirect
14. #22621879C2semidirect
15. #22621737C2semidirect
16. #22621554C2semidirect
17. #22621549C2semidirect
18. #22621549C2semidirect
19. #22620666C2semidirect
20. #22620577C2semidirect
21. #22620575C2semidirect
22. #22620173C2semidirect
23. #22620134C2semidirect
24. #22620132C2semidirect
25. #22619987C2semidirect
26. #22619929C2semidirect
27. #22618933C2semidirect
28. #22618763C2semidirect
29. #22618756C2semidirect
30. #22618742C2semidirect
31. C73×#3122C2semidirect
35. #17989314C22semidirect
38. #17989290C22semidirect
39. #17989289C22semidirect
46. #17989257C22semidirect
47. #17989257C22semidirect
49. #17989255C22semidirect
50. #17989255C22semidirect
51. #17989237C22semidirect
62. #17989188C22semidirect
67. #17989134C22semidirect
73. #17989067C22semidirect
74. #17989066C22semidirect
76. C4×#11924027C22semidirect
78. #17988988C22semidirect
79. #17988986C22semidirect
80. #17988984C22semidirect
81. #17988963C22semidirect
82. #17988962C22semidirect
83. #17988962C22semidirect
84. #17988953C22semidirect
85. #17988951C22semidirect
86. #17988950C22semidirect
87. #17988950C22semidirect
88. #17988932C22semidirect
89. #17988932C22semidirect
90. #17988914C22semidirect
91. #17988913C22semidirect
92. #17988910C22semidirect
93. #17988910C22semidirect
94. #17988907C22semidirect
95. #17988906C22semidirect
96. #17988902C22semidirect
97. #17988901C22semidirect
98. #17988899C22semidirect
99. #17988899C22semidirect
100. #17988897C22semidirect
101. #17988895C22semidirect
103. #17988888C22semidirect
104. #17988886C22semidirect
105. #17988885C22semidirect
106. #17988881C22semidirect
107. #17988875C22semidirect
108. #17988866C22semidirect
110. #17988841C22semidirect
111. #17988839C22semidirect
112. #17988839C22semidirect
113. #17988839C22semidirect
114. #17988839C22semidirect
115. #17988838C22semidirect
116. #17988838C22semidirect
117. #17988837C22semidirect
118. #17988824C22semidirect
119. #17988821C22semidirect
120. #17988821C22semidirect
121. #17988820C22semidirect
122. #17988788C22semidirect
123. #17988786C22semidirect
124. #17988786C22semidirect
125. #17988783C22semidirect
126. #17988781C22semidirect
127. #17988781C22semidirect
130. #17988780C22semidirect
131. #17988780C22semidirect
132. #17988734C22semidirect
133. #17988734C22semidirect
134. #17988733C22semidirect
135. #17988733C22semidirect
136. #17988729C22semidirect
137. #17988729C22semidirect
142. #17988716C22semidirect
143. #17988711C22semidirect
144. #17988700C22semidirect
147. #17988697C22semidirect
148. #17988697C22semidirect
149. #17988697C22semidirect
150. #17988689C22semidirect
152. #17988687C22semidirect
153. #17988686C22semidirect
156. C4×#11924017C22semidirect
157. #17988674C22semidirect
159. C4×#11924016C22semidirect
160. C4×D584C22semidirect
163. C4×#11924013C22semidirect
164. C4×#11924013C22semidirect
165. C4×#11924013C22semidirect
166. #17988667C22semidirect
167. #17988667C22semidirect
168. #17988664C22semidirect
169. #17988662C22semidirect
170. #17988662C22semidirect
171. #17988657C22semidirect
172. #17988655C22semidirect
173. #17988650C22semidirect
174. #17988649C22semidirect
175. #17988638C22semidirect
176. #17988630C22semidirect
177. #17988628C22semidirect
178. #17988626C22semidirect
180. #17988585C22semidirect
181. #17988581C22semidirect
182. #17988580C22semidirect
185. #17988543C22semidirect
186. #17988541C22semidirect
187. #17988539C22semidirect
188. #540×C73C22semidirect
190. #482×C73C22semidirect
191. #482×C73C22semidirect
193. #478×C73C22semidirect
195. #459×C73C22semidirect
199. #442×C73C22semidirect
201. C4×D8×C73C22semidirect
202. #433×C73C22semidirect
560. #11924016#41semidirect
917. #3122D73semidirect
926. C73#61555semidirect
959. #540C2×D73semidirect
991. #482C2×D73semidirect
992. #482C2×D73semidirect
1006. #478C2×D73semidirect
1034. #459C2×D73semidirect
1056. #442C2×D73semidirect
1076. C4×D8C2×D73semidirect
1084. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226239532
#226239332
#226229022
#226228012
#226226632
#226226332
#226225342
#226225302
#226225242
#226220762
#226220692
#226219442
#226219352
#226218792
#226217372
#226215542
#226215492
#226206662
#226205772
#226205752
#226201732
#226201342
#226201322
#226199872
#226199292
#226189332
#226187632
#226187562
#226187422
C73×#31222
#6155573