Finite Group Databasebeta

← #33969100

Subgroups — #33969100

Order 18688.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624038C211yesmaximal, characteristic, complemented
2#22623961C211yesmaximal, characteristic, complemented
3#22622970C211yesmaximal, characteristic, complemented
4#22622871C211yesmaximal, characteristic, complemented
5#22622690C211yesmaximal, characteristic, complemented
6#22622665C211yesmaximal, characteristic, complemented
7#22622497C211yesmaximal, characteristic, complemented
8#22622430C211yesmaximal, characteristic, complemented
9#22622426C211yesmaximal, characteristic, complemented
10#22622183C211yesmaximal, characteristic, complemented
11#22622172C211yesmaximal, characteristic, complemented
12#22622123C211yesmaximal, characteristic, complemented
13#22622078C211yesmaximal, characteristic, complemented
14#22621958C211yesmaximal, characteristic, complemented
15#22621943C211yesmaximal, characteristic, complemented
16#22621548C211yesmaximal, characteristic, complemented
17#22621433C211yesmaximal, characteristic, complemented
18#22621425C211yesmaximal, characteristic, complemented
19#22620577C211yesmaximal, characteristic, complemented
20#22620522C211yesmaximal, characteristic, complemented
21#22620221C211yesmaximal, characteristic, complemented
22#22620173C211yesmaximal, characteristic, complemented
23#22620124C211yesmaximal, characteristic, complemented
24#22620109C211yesmaximal, characteristic, complemented
25#22620078C211yesmaximal, characteristic, complemented
26#22620073C211yesmaximal, characteristic, complemented
27#22618912C211yesmaximal, characteristic, complemented
28#22618785C211yesmaximal, characteristic, complemented
29#22618765C211yesmaximal, characteristic, complemented
30C4×#14556615C211yesmaximal, characteristic, complemented
31C73×#3179C211yesmaximal, characteristic, complemented
32C2×#14556619C2211yescharacteristic
33C2×#14556615C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989319—21no—
36#17989319C2211yescharacteristic, complemented
37#17989312C2211yescharacteristic, complemented
38#17989303C2211yescharacteristic, complemented
39#17989301C2211yescharacteristic
40#17989299—21no—
41#17989293C2211yescharacteristic
42#17989290C2211yescharacteristic
43#17989289C2211yescharacteristic, complemented
44#17989288—21no—
45#17989284C2211yescharacteristic
46#17989282—21no—
47#17989279C2211yescharacteristic, complemented
48#17989273—21no—
49#17989257C2211yescharacteristic
50#17989255C2211yescharacteristic, complemented
51#17989247C2211yescharacteristic, complemented
52#17989245C2211yescharacteristic, complemented
53#17989234—21no—
54#17989229—21no—
55#17989226—21no—
56#17989222C2211yescharacteristic
57#17989221C2211yescharacteristic
58#17989221C2211yescharacteristic
59#17989207—21no—
60#17989189—21no—
61#17989188C2211yescharacteristic
62#17989188C2211yescharacteristic, complemented
63#17989173—21no—
64#17989169—21no—
65#17989134C2211yescharacteristic
66#17989124C2211yescharacteristic, complemented
67#17989123—21no—
68#17989115C2211yescharacteristic
69#17989114—21no—
70#17989095—21no—
71#121×D73—21no—
72#17989067C2211yescharacteristic, complemented
73#17989063C2211yescharacteristic, complemented
74#17989061C2211yescharacteristic
75#17989059C2211yescharacteristic
76C4×#11924027C2211yescharacteristic, complemented
77C4×D4×D73C2211yescharacteristic
78#17988994C2211yescharacteristic, complemented
79#17988988C2211yescharacteristic, complemented
80#17988973C2211yescharacteristic, complemented
81#17988962C2211yescharacteristic, complemented
82#17988950C2211yescharacteristic, complemented
83#17988950C2211yescharacteristic, complemented
84#17988950C2211yescharacteristic, complemented
85#17988948C2211yescharacteristic, complemented
86#17988925C2211yescharacteristic, complemented
87#17988916C2211yescharacteristic, complemented
88#17988914C2211yescharacteristic, complemented
89#17988913C2211yescharacteristic, complemented
90#17988913C2211yescharacteristic, complemented
91#17988910C2211yescharacteristic, complemented
92#17988909C2211yescharacteristic, complemented
93#17988909C2211yescharacteristic, complemented
94#17988908C2211yescharacteristic, complemented
95#17988903C2211yescharacteristic, complemented
96#17988902C2211yescharacteristic, complemented
97#17988898C2211yescharacteristic, complemented
98#17988896C2211yescharacteristic, complemented
99#17988893C2211yescharacteristic, complemented
100#17988891C2211yescharacteristic, complemented
101#17988890C2211yescharacteristic
102#17988889C2211yescharacteristic, complemented
103#17988889C2211yescharacteristic, complemented
104#17988886C2211yescharacteristic
105#17988884C2211yescharacteristic, complemented
106#17988874C2211yescharacteristic
107#17988871C2211yescharacteristic, complemented
108#17988865C2211yescharacteristic, complemented
109#17988864C2211yescharacteristic, complemented
110#17988841C2211yescharacteristic, complemented
111#17988839C2211yescharacteristic, complemented
112#17988839C2211yescharacteristic, complemented
113#17988839C2211yescharacteristic, complemented
114#17988836C2211yescharacteristic, complemented
115#17988830C2211yescharacteristic, complemented
116#17988824C2211yescharacteristic, complemented
117#17988820C2211yescharacteristic, complemented
118#17988805C2211yescharacteristic
119#17988804C2211yescharacteristic, complemented
120#17988799C2211yescharacteristic
121#17988799C2211yescharacteristic, complemented
122#17988786C2211yescharacteristic, complemented
123#17988786C2211yescharacteristic, complemented
124#17988785C2211yescharacteristic, complemented
125#17988784C2211yescharacteristic, complemented
126#17988781C2211yescharacteristic
127#17988780C2211yescharacteristic, complemented
128#17988780C2211yescharacteristic, complemented
129#17988779C2211yescharacteristic, complemented
130#17988737C2211yescharacteristic
131#17988736C2211yescharacteristic
132#17988733C2211yescharacteristic, complemented
133#17988730C2211yescharacteristic, complemented
134#17988730C2211yescharacteristic, complemented
135#17988729C2211yescharacteristic, complemented
136#17988727C2211yescharacteristic, complemented
137#17988724C2211yescharacteristic, complemented
138#17988722C2211yescharacteristic
139#17988722C2211yescharacteristic
140#17988720C2211yescharacteristic
141#17988719C2211yescharacteristic
142#17988717C2211yescharacteristic, complemented
143#17988715C2211yescharacteristic, complemented
144#17988700C2211yescharacteristic
145#17988700C2211yescharacteristic, complemented
146#17988699C2211yescharacteristic, complemented
147#17988697C2211yescharacteristic, complemented
148#17988697C2211yescharacteristic, complemented
149#17988696C2211yescharacteristic
150#17988690C2211yescharacteristic
151#17988689C2211yescharacteristic
152#17988689C2211yescharacteristic, complemented
153#17988687C2211yescharacteristic, complemented
154#17988686C2211yescharacteristic
155#17988685C2211yescharacteristic
156#17988684C2211yescharacteristic, complemented
157#17988684C2211yescharacteristic, complemented
158C4×#11924017C2211yescharacteristic
159C4×#11924017C2211yescharacteristic, complemented
160SD16×Dic73C2211yescharacteristic, complemented
161C4×#11924015C2211yescharacteristic, complemented
162#17988674C2211yescharacteristic
163C4×#11924016C2211yescharacteristic, complemented
164C4×D584C2211yescharacteristic
165C4×D584C2211yescharacteristic, complemented
166C4×#11924013C2211yescharacteristic
167C4×#11924013C2211yescharacteristic, complemented
168#17988666C2211yescharacteristic, complemented
169#17988663C2211yescharacteristic, complemented
170#17988660C2211yescharacteristic, complemented
171#17988658C2211yescharacteristic, complemented
172#17988658C2211yescharacteristic, complemented
173#17988656C2211yescharacteristic, complemented
174#17988649C2211yescharacteristic, complemented
175#17988648C2211yescharacteristic, complemented
176#17988642C2211yescharacteristic, complemented
177#17988629C2211yescharacteristic, complemented
178#17988628C2211yescharacteristic, complemented
179#17988622C2211yescharacteristic, complemented
180#17988594C2211yescharacteristic, complemented
181#17988590C2211yescharacteristic
182#17988590C2211yescharacteristic
183#17988585C2211yescharacteristic, complemented
184#17988584C2211yescharacteristic, complemented
185C2×#14556513C2211yescharacteristic
186#17988541C2211yescharacteristic, complemented
187C4×#11924011C2211yescharacteristic, complemented
188#542×C73C2211yescharacteristic, complemented
189#540×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#496×C73C2211yescharacteristic, complemented
192#488×C73C2211yescharacteristic, complemented
193#486×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic, complemented
195#468×C73C2211yescharacteristic, complemented
196#466×C73C2211yescharacteristic, complemented
197#465×C73C2211yescharacteristic, complemented
198#442×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200C4×SD16×C73C2211yescharacteristic, complemented
201C4×D8×C73C2211yescharacteristic, complemented
202#405×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924028C2311yescharacteristic
205C2×#11924027—21no—
206C2×#11924027C2311yescharacteristic
207C2×Q8×D73C2311yescharacteristic
208C22×D292C2311yescharacteristic
209C2×D4×D73—21no—
210C2×D4×D73—21no—
211C2×D4×D73—21no—
212C2×D4×D73C2311yescharacteristic
213C2×D4×D73C2311yescharacteristic
214C22×C4×D73—21no—
215#14556619—24no—
216#14556615—24no—
217C2×#11924017C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223SD16×D73—24no—
224C2×D584C2311yescharacteristic
225C2×D584C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924011C2311yescharacteristic
231C2×#11924011C2311yescharacteristic
232C2×#11924011C2311yescharacteristic
233C2×C8×D73C2311yescharacteristic
234#14556590C2311yescharacteristic
235#14556589—21no—
236#14556587—21no—
237#14556587C2311yescharacteristic
238#14556587C2311yescharacteristic
239#14556587C2311yescharacteristic
240#14556586—21no—
241#14556586—21no—
242#14556586—21no—
243#14556586D411yescharacteristic
244#14556584—21no—
245#14556584—21no—
246#14556584D411yescharacteristic
247#14556582—21no—
248#14556582C2311yescharacteristic
249#14556582C2311yescharacteristic
250#14556582C2311yescharacteristic
251#14556581—21no—
252#14556581—21no—
253#14556581D411yescharacteristic
254#14556580—21no—
255#14556580—21no—
256#14556580C2311yescharacteristic
257#14556578—21no—
258#14556577—21no—
259#14556577—21no—
260#14556577—21no—
261#14556577—21no—
262#14556577—21no—
263#14556577D411yescharacteristic
264#14556576—21no—
265#14556576—21no—
266#14556576D411yescharacteristic
267#14556575—21no—
268#14556575—21no—
269#14556575—21no—
270#14556574—21no—
271#14556574—21no—
272#14556573—21no—
273#14556573—21no—
274#14556573—21no—
275#14556573D411yescharacteristic
276#14556572—21no—
277#14556571—21no—
278#14556569—21no—
279#14556569—21no—
280#14556569—21no—
281#14556569D411yescharacteristic
282#14556568—21no—
283#14556567C2311yescharacteristic
284#14556566—21no—
285#14556566—21no—
286#14556566C2311yescharacteristic
287#14556566C2311yescharacteristic
288#14556566C2311yescharacteristic
289#14556566C2311yescharacteristic
290#14556565—21no—
291#14556565—21no—
292#14556564—21no—
293#14556564—21no—
294#14556564—21no—
295#14556564—21no—
296#14556564—21no—
297#14556564—21no—
298#14556564—21no—
299#14556564—21no—
300#14556564D411yescharacteristic
301#14556563—21no—
302#14556563—21no—
303#14556563—21no—
304#14556563—21no—
305#14556563—21no—
306#14556562—21no—
307#14556562—21no—
308#14556562—21no—
309#14556562C2311yescharacteristic
310#14556562C2311yescharacteristic
311#14556562C2311yescharacteristic
312#14556561—21no—
313#14556561—21no—
314#14556559—21no—
315#14556559—21no—
316#14556559—21no—
317#14556559—21no—
318Q8×Dic73—21no—
319Q8×Dic73C2311yescharacteristic
320C4×Dic146—21no—
321C4×Dic146C2311yescharacteristic
322C4×Dic146C2311yescharacteristic
323C4×Dic146C2311yescharacteristic
324#14556556—21no—
325#14556556C2311yescharacteristic
326#14556556C2311yescharacteristic
327C4×D292—21no—
328C4×D292C2311yescharacteristic
329C4×D292C2311yescharacteristic
330C4×D292C2311yescharacteristic
331C4×D292C2311yescharacteristic
332C4×D292C2311yescharacteristic
333C4×D292C2311yescharacteristic
334C4×D292C2311yescharacteristic
335D4×Dic73—21no—
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339#14556553—21no—
340#14556553—21no—
341#14556553—21no—
342#14556553—21no—
343#14556553C2311yescharacteristic
344#14556553C2311yescharacteristic
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73C2311yescharacteristic
350C4×C22⋊D73C2311yescharacteristic
351#14556551—21no—
352#14556551—21no—
353#14556551—21no—
354#14556551—21no—
355#14556551—21no—
356#14556551—21no—
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556550C2311yescharacteristic
361#14556549—21no—
362#14556549—21no—
363#14556549—21no—
364#14556549C2311yescharacteristic
365#14556549C2311yescharacteristic
366#14556549C2311yescharacteristic
367#14556548—21no—
368#14556548—21no—
369#14556548C2311yescharacteristic
370#14556547—21no—
371#14556547—21no—
372#14556547—21no—
373C2×C4⋊Dic73C2311yescharacteristic
374C4⋊C4×D73—21no—
375C4⋊C4×D73—21no—
376C4⋊C4×D73C2311yescharacteristic
377C2×#11924005—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C2×C4×Dic73—21no—
383C42×D73C2311yescharacteristic
384#14556525C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436C4×#10596831C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×SD16×C73C2311yescharacteristic
439C2×SD16×C73C2311yescharacteristic
440C2×D8×C73C2311yescharacteristic
441C2×D8×C73C2311yescharacteristic
442C2×M16×C73C2311yescharacteristic
443C22×C8×C73C2311yescharacteristic
444C4⋊Q8×C73C2311yescharacteristic
445#127×C73C2311yescharacteristic
446#126×C73—21no—
447#125×C73C2311yescharacteristic
448#124×C73—21no—
449#124×C73C2311yescharacteristic
450#123×C73—21no—
451#123×C73—21no—
452#123×C73—21no—
453C22⋊Q8×C73—21no—
454C22⋊Q8×C73C2311yescharacteristic
455#121×C73—21no—
456#121×C73—21no—
457#121×C73C2311yescharacteristic
458#121×C73C2311yescharacteristic
459#121×C73C2311yescharacteristic
460C4×Q8×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462C4×D4×C73C2311yescharacteristic
463C4×D4×C73C2311yescharacteristic
464#117×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479C4×C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483C23×D73—21no—
484#11924028—22no—
485#11924028—41no—
486#11924028—82no—
487#11924027—22no—
488#11924027—41no—
489#11924027—82no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146C2×D411yescharacteristic
493C2×Dic146C2411yescharacteristic
494Q8×D73—22no—
495Q8×D73—41no—
496C2×D292—22no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—41no—
503C2×D292C2×D411yescharacteristic
504C2×D292C2411yescharacteristic
505C2×D292C2411yescharacteristic
506C2×D292C2411yescharacteristic
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
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⋊D73C2×D411yescharacteristic
521C2×C22⋊D73C2×D411yescharacteristic
522D4×D73—22no—
523D4×D73—22no—
524D4×D73—41no—
525D4×D73—41no—
526D4×D73—82no—
527D4×D73—82no—
528D4×D73—82no—
529C22×Dic73—21no—
530C22×Dic73—21no—
531C22×Dic73—21no—
532C22×Dic73—21no—
533C22×Dic73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—82no—
546C2×C4×D73C2×D411yescharacteristic
547C2×C4×D73C2×D411yescharacteristic
548C2×C4×D73C2411yescharacteristic
549C2×C4×D73C2411yescharacteristic
550#11924017—22no—
551#11924017#4114yescomplemented
552#11924016—22no—
553#11924016—22no—
554#11924015—22no—
555#11924015—41no—
556D584—22no—
557D584—22no—
558#11924013—22no—
559#11924013—41no—
560#11924013—41no—
561#11924013—41no—
562#11924011—22no—
563#11924011—41no—
564#11924011—41no—
565C2×#10596831C2411yescharacteristic
566C2×#10596831C2411yescharacteristic
567C2×#10596831C2411yescharacteristic
568C2×#10596831C2411yescharacteristic
569C8×D73—22no—
570C4⋊Dic73—21no—
571C4⋊Dic73—21no—
572C4⋊Dic73—21no—
573C4⋊Dic73—21no—
574C4⋊Dic73—21no—
575C4⋊Dic73C2×D411yescharacteristic
576C4⋊Dic73C2×D411yescharacteristic
577C4⋊Dic73C2411yescharacteristic
578C4⋊Dic73C2411yescharacteristic
579C4⋊Dic73C2411yescharacteristic
580C4⋊Dic73C2411yescharacteristic
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
594#11924007C2×D411yescharacteristic
595#11924007C2×D411yescharacteristic
596#11924007C2×D411yescharacteristic
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73C2×D411yescharacteristic
605C22⋊Dic73C2×D411yescharacteristic
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
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#11924005C2×D411yescharacteristic
625#11924005C2×D411yescharacteristic
626#11924005C2×D411yescharacteristic
627#11924005C2×D411yescharacteristic
628#11924005C2×D411yescharacteristic
629#11924005C2×D411yescharacteristic
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2411yescharacteristic
642C4×Dic73C2411yescharacteristic
643C2×Q8×C73—21no—
644C2×Q8×C73C2411yescharacteristic
645C2×D4×C73—21no—
646C2×D4×C73—21no—
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73C2411yescharacteristic
651C2×D4×C73C2411yescharacteristic
652C2×D4×C73C2411yescharacteristic
653C22×C4×C73—21no—
654C22×C4×C73—21no—
655C22×C4×C73—21no—
656C22×C4×C73C2411yescharacteristic
657SD16×C73—22no—
658SD16×C73—41no—
659D8×C73—22no—
660D8×C73—41no—
661M16×C73—22no—
662C2×C8×C73—41no—
663C2×C8×C73C2411yescharacteristic
664C2×C8×C73C2411yescharacteristic
665C2×C8×C73C2411yescharacteristic
666C2×C8×C73C2411yescharacteristic
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73C2×D411yescharacteristic
673C4⋊C4×C73C2×D411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
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×C73C2×D411yescharacteristic
688C22⋊C4×C73C2×D411yescharacteristic
689C42×C73—21no—
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—21no—
695C23×C73C22×D411yescharacteristic
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—21no—
699C22×D73—42no—
700C22×D73—42no—
701C22×D73—42no—
702C22×D73—42no—
703C22×D73—81no—
704C22×D73—81no—
705C22×D73—81no—
706C22×D73—81no—
707C22×D73—81no—
708C22×D73C22×D411yescharacteristic
709C22×D73C22×D411yescharacteristic
710Q8×C73—21no—
711Q8×C73—21no—
712Q8×C73—81no—
713D4×C73—21no—
714D4×C73—21no—
715D4×C73—21no—
716D4×C73—21no—
717D4×C73—21no—
718D4×C73—21no—
719D4×C73—81no—
720D4×C73—81no—
721D4×C73—81no—
722D4×C73—81no—
723D4×C73—81no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—81no—
732C2×C4×C73—81no—
733C2×C4×C73—81no—
734C2×C4×C73C22×D411yescharacteristic
735C2×C4×C73C22×D411yescharacteristic
736C2×C4×C73C22×D411yescharacteristic
737C2×C4×C73C22×D411yescharacteristic
738C2×C4×C73C22×D411yescharacteristic
739C2×C4×C73C2511yescharacteristic
740C22⋊D73—41no—
741C22⋊D73—41no—
742C22⋊D73—42no—
743C22⋊D73—42no—
744C22⋊D73—42no—
745C22⋊D73—42no—
746C22⋊D73—42no—
747C22⋊D73—42no—
748C22⋊D73—81no—
749C22⋊D73—81no—
750C22⋊D73—81no—
751C22⋊D73—81no—
752C22⋊D73—81no—
753C22⋊D73—81no—
754C22⋊D73—81no—
755C2×Dic73—21no—
756C2×Dic73—21no—
757C2×Dic73—21no—
758C2×Dic73—21no—
759C2×Dic73—21no—
760C2×Dic73—42no—
761C2×Dic73—42no—
762C2×Dic73—81no—
763C2×Dic73—81no—
764C2×Dic73—81no—
765C2×Dic73C22×D411yescharacteristic
766C2×Dic73C22×D411yescharacteristic
767C2×Dic73C22×D411yescharacteristic
768C2×Dic73C22×D411yescharacteristic
769C2×Dic73C22×D411yescharacteristic
770C2×Dic73C22×D411yescharacteristic
771D292—21no—
772D292—21no—
773D292—21no—
774D292—21no—
775D292—21no—
776D292—41no—
777D292—42no—
778D292—42no—
779D292—81no—
780D292—81no—
781D292—81no—
782D292C2×#4112yes—
783C4×D73—21no—
784C4×D73—21no—
785C4×D73—21no—
786C4×D73—21no—
787C4×D73—41no—
788C4×D73—41no—
789C4×D73—42no—
790C4×D73—42no—
791C4×D73—42no—
792C4×D73—81no—
793C4×D73—81no—
794C4×D73—81no—
795C4×D73—81no—
796C4×D73—81no—
797C4×D73—81no—
798C4×D73—81no—
799C4×D73—81no—
800Dic146—21no—
801Dic146—41no—
802Dic146—42no—
803Dic146—81no—
804Dic146C2×#4112yes—
805C8×C73—21no—
806C8×C73—21no—
807C8×C73—21no—
808C8×C73C2×#4112yes—
809#10596831—21no—
810#10596831—21no—
811#10596831—21no—
812#10596831—21no—
813C22×C73—21no—
814C22×C73—21no—
815C22×C73—21no—
816C22×C73—41no—
817C22×C73—41no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73C23×D411yescharacteristic
826C2×D73—21no—
827C2×D73—21no—
828C2×D73—21no—
829C2×D73—21no—
830C2×D73—21no—
831C2×D73—21no—
832C2×D73—22no—
833C2×D73—41no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—84no—
842C2×D73—162no—
843C2×D73—162no—
844C4×C73—21no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—21no—
848C4×C73—21no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73—41no—
854C4×C73C22×#4111yescharacteristic
855C4×C73#58511yescharacteristic
856Dic73—21no—
857Dic73—21no—
858Dic73—21no—
859Dic73—21no—
860Dic73—22no—
861Dic73—21no—
862Dic73—21no—
863Dic73—41no—
864Dic73—41no—
865Dic73—41no—
866Dic73—41no—
867#61504—731nomaximal, Sylow
868C2×C73—41no—
869C2×C73—81no—
870C2×C73—81no—
871C2×C73—81no—
872C2×C73D4×#4111yescharacteristic
873C2×C73#358511yescharacteristic
874C2×C73#358511yescharacteristic
875D73—41no—
876D73—41no—
877D73—42no—
878D73—81no—
879D73—81no—
880#3524—731no—
881#3519—731no—
882#3399—731no—
883#3388—731no—
884#3370—731no—
885#3368—731no—
886#3351—731no—
887#3347—731no—
888#3347—731no—
889#3326—731no—
890#3325—731no—
891#3321—731no—
892#3318—731no—
893#3310—731no—
894#3309—731no—
895#3274—731no—
896#3265—731no—
897#3265—731no—
898#3179D7311yescharacteristic, complemented
899#3176—731no—
900#3171—731no—
901#3126—731no—
902#3122—731no—
903#3119—731no—
904#3118—731no—
905#3115—731no—
906#3114—731no—
907#2967—731no—
908#2949—731no—
909#2946—731no—
910C4×AGL(1,ℤ/8)—731no—
911C73#6150411yescharacteristic, complemented, Sylow
912C2×AGL(1,ℤ/8)—731no—
913C2×AGL(1,ℤ/8)—731no—
914C22×SD16—731no—
915#559—731no—
916#559—1461no—
917#557—731no—
918#555—731no—
919#555—731no—
920#555—1461no—
921#554—731no—
922#553—731no—
923#553—731no—
924#553—731no—
925#553—1461no—
926#553—1461no—
927#552—731no—
928#552—1461no—
929#550—731no—
930#550—731no—
931#548—731no—
932#548—731no—
933#546—1461no—
934#546—1461no—
935#546—1461no—
936D42—731no—
937D42—731no—
938D42—731no—
939#542—1461no—
940#542C2×D7311yescharacteristic, complemented
941#540—731no—
942#540—731no—
943#540—1461no—
944#540C2×D7311yescharacteristic
945#538—1461no—
946#538—1461no—
947#532—731no—
948#529—731no—
949#529—731no—
950#529—1461no—
951#529—1461no—
952#525—1461no—
953C2×#121—1461no—
954#520—731no—
955#519—731no—
956#518—731no—
957#518—731no—
958C4×#41—731no—
959C2×C4×D4—731no—
960#501—731no—
961#501C2×D7311yescharacteristic, complemented
962#499—731no—
963#496—731no—
964#496C2×D7311yescharacteristic, complemented
965#493—731no—
966#490—731no—
967#490—731no—
968#490—731no—
969#489—731no—
970#488C2×D7311yescharacteristic, complemented
971#486C2×D7311yescharacteristic, complemented
972#485—731no—
973#483—731no—
974#482—731no—
975#482—731no—
976#482—731no—
977#482—731no—
978#482—731no—
979#482—731no—
980#482—731no—
981#481—731no—
982#480—731no—
983#480—731no—
984#479—731no—
985#479—731no—
986#479—731no—
987#478—731no—
988#478—731no—
989#478—731no—
990#478—731no—
991#478—731no—
992#476—731no—
993#475—731no—
994#474—731no—
995#474—731no—
996#469—731no—
997#469—731no—
998#469—731no—
999#469—731no—
1000#469C2×D7311yescharacteristic, complemented
1001#468—731no—
1002#468—731no—
1003#468C2×D7311yescharacteristic, complemented
1004#466—731no—
1005#466—731no—
1006#466C2×D7311yescharacteristic, complemented
1007#465C2×D7311yescharacteristic, complemented
1008#463—731no—
1009#463—731no—
1010#463—731no—
1011#463—731no—
1012#460—731no—
1013#460—731no—
1014#460—731no—
1015#460—731no—
1016#459—731no—
1017#459—731no—
1018#459—731no—
1019#459—731no—
1020#450—731no—
1021#450—731no—
1022#449—731no—
1023#449—731no—
1024#449—731no—
1025#449—731no—
1026#448—731no—
1027#448—731no—
1028#447—731no—
1029#447—731no—
1030#447—731no—
1031#447—731no—
1032#446—731no—
1033#446—731no—
1034#442—731no—
1035#442—731no—
1036#442—731no—
1037#442—731no—
1038#442—731no—
1039#442—731no—
1040#442C2×D7311yescharacteristic, complemented
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440—731no—
1048#440—731no—
1049#440C2×D7311yescharacteristic, complemented
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×SD16—731no—
1053C4×SD16—731no—
1054C4×SD16—731no—
1055C4×SD16—731no—
1056C4×SD16C2×D7311yescharacteristic, complemented
1057C4×D8—731no—
1058C4×D8—731no—
1059C4×D8—731no—
1060C4×D8—731no—
1061C4×D8C2×D7311yescharacteristic, complemented
1062#436—731no—
1063#436—731no—
1064#435—731no—
1065#435—731no—
1066#435—731no—
1067#435—731no—
1068#433—731no—
1069#433—731no—
1070#432—731no—
1071#428—731no—
1072#428—731no—
1073#427—731no—
1074#419—731no—
1075#418—731no—
1076#418—731no—
1077#417—731no—
1078#416—731no—
1079C2×#102—731no—
1080#405—731no—
1081#405C2×D7311yescharacteristic, complemented
1082C4×M16—731no—
1083C2×#41—731no—
1084C2×#41—731no—
1085C2×#41—1461no—
1086C2×#41—1461no—
1087C22×Q8—731no—
1088C22×D4—731no—
1089C22×D4—731no—
1090C22×D4—731no—
1091C22×D4—1461no—
1092C22×D4—1461no—
1093C22×D4—1461no—
1094C23×C4—1461no—
1095AGL(1,ℤ/8)—1464no—
1096AGL(1,ℤ/8)—1464no—
1097C2×SD16—731no—
1098C2×SD16—731no—
1099C2×SD16—731no—
1100C2×SD16—731no—
1101C2×SD16—731no—
1102C2×SD16—731no—
1103C2×SD16—1464no—
1104C2×SD16C22×D7311yescharacteristic
1105C2×SD16C22×D7311yescharacteristic
1106C2×D8—731no—
1107C2×D8—731no—
1108C2×D8—731no—
1109C2×D8—731no—
1110C2×D8—731no—
1111C2×D8—731no—
1112C2×D8C22×D7311yescharacteristic
1113C2×D8C22×D7311yescharacteristic
1114C2×M16—731no—
1115C2×M16—731no—
1116C2×M16—731no—
1117C2×M16C22×D7311yescharacteristic
1118C22×C8—731no—
1119C22×C8C22×D7311yescharacteristic
1120C4⋊Q8—731no—
1121C4⋊Q8—1461no—
1122C4⋊Q8C22×D7311yescharacteristic
1123#127—731no—
1124#127—731no—
1125#127—731no—
1126#127—1461no—
1127#127C22×D7311yescharacteristic
1128#126—21no—
1129#126—731no—
1130#126—731no—
1131#126—1461no—
1132#126—1461no—
1133#126—1461no—
1134#126—1461no—
1135#126—1461no—
1136#125—731no—
1137#125—731no—
1138#125—731no—
1139#125—731no—
1140#125—1461no—
1141#125—1461no—
1142#125—1461no—
1143#125C22×D7311yescharacteristic
1144#124—21no—
1145#124—731no—
1146#124—731no—
1147#124—1461no—
1148#124—1461no—
1149#124—1461no—
1150#124—1461no—
1151#124—1461no—
1152#124—1461no—
1153#124—1461no—
1154#124—1461no—
1155#124C22×D7311yescharacteristic
1156#123—21no—
1157#123—21no—
1158#123—21no—
1159#123—731no—
1160#123—731no—
1161#123—1461no—
1162#123—1461no—
1163#123—1461no—
1164#123—1461no—
1165#123—1461no—
1166#123—1461no—
1167#123—1461no—
1168#123—1461no—
1169#123—1461no—
1170#123—1461no—
1171#123—1461no—
1172C22⋊Q8—21no—
1173C22⋊Q8—731no—
1174C22⋊Q8—731no—
1175C22⋊Q8—1461no—
1176C22⋊Q8—1461no—
1177C22⋊Q8—1461no—
1178C22⋊Q8—1461no—
1179C22⋊Q8—1461no—
1180C22⋊Q8C22×D7311yescharacteristic
1181#121—21no—
1182#121—21no—
1183#121—731no—
1184#121—731no—
1185#121—731no—
1186#121—731no—
1187#121—731no—
1188#121—731no—
1189#121—731no—
1190#121—731no—
1191#121—1461no—
1192#121—1461no—
1193#121—1461no—
1194#121—1461no—
1195#121—1461no—
1196#121—1461no—
1197#121—1461no—
1198#121—1461no—
1199#121—1461no—
1200#121—1461no—
1201#121—1461no—
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#121C22×D7311yescharacteristic
1212#121C22×D7311yescharacteristic
1213#121C22×D7311yescharacteristic
1214#120—1461no—
1215#120—1461no—
1216#120—1461no—
1217#120—1461no—
1218#120—1461no—
1219#120—1461no—
1220C4×Q8—731no—
1221C4×Q8—731no—
1222C4×Q8—731no—
1223C4×Q8—731no—
1224C4×Q8—731no—
1225C4×Q8—731no—
1226C4×Q8—1461no—
1227C4×Q8—1461no—
1228C4×Q8—1461no—
1229C4×Q8C22×D7311yescharacteristic
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—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
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×D4C22×D7311yescharacteristic
1264C4×D4C22×D7311yescharacteristic
1265C4×D4C22×D7311yescharacteristic
1266#117—731no—
1267#117—731no—
1268#117—731no—
1269#117—731no—
1270#117—731no—
1271#117—1461no—
1272#117—1461no—
1273#117—1461no—
1274#117—1461no—
1275#117—1461no—
1276#117—1461no—
1277#117—1461no—
1278#117—1461no—
1279#117C22×D7311yescharacteristic
1280C2×C4⋊C4—731no—
1281C2×C4⋊C4—731no—
1282C2×C4⋊C4—1461no—
1283C2×C4⋊C4—1461no—
1284C2×C22⋊C4—1461no—
1285C2×C22⋊C4—1461no—
1286C2×C22⋊C4—1461no—
1287C2×C22⋊C4—1461no—
1288C2×C22⋊C4—1461no—
1289C2×C42—731no—
1290C2×C42—1461no—
1291#107—731no—
1292#107—731no—
1293#107—731no—
1294#107—731no—
1295#107—731no—
1296#107—731no—
1297#107C22×D7311yescharacteristic
1298#107C22×D7311yescharacteristic
1299#106—731no—
1300#106—731no—
1301#106—731no—
1302#106—731no—
1303#106—731no—
1304#106—731no—
1305#106C22×D7311yescharacteristic
1306#106C22×D7311yescharacteristic
1307C4⋊C8—731no—
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312C4⋊C8—731no—
1313#103—731no—
1314#103—731no—
1315#103—731no—
1316#103—731no—
1317#103—731no—
1318#103—731no—
1319#103C22×D7311yescharacteristic
1320#103C22×D7311yescharacteristic
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102C22×D7311yescharacteristic
1340#102C22×D7311yescharacteristic
1341#102C22×D7311yescharacteristic
1342#102C22×D7311yescharacteristic
1343#102C22×D7311yescharacteristic
1344#102C22×D7311yescharacteristic
1345C22⋊C8—731no—
1346C22⋊C8—731no—
1347C22⋊C8—731no—
1348C22⋊C8—731no—
1349C22⋊C8—731no—
1350C22⋊C8—731no—
1351#97—731no—
1352#97—731no—
1353#97—731no—
1354#97—731no—
1355#97C22×D7311yescharacteristic
1356#97C22×D7311yescharacteristic
1357C4×C8—731no—
1358C4×C8—731no—
1359C4×C8C22×D7311yescharacteristic
1360C4×C8C22×D7311yescharacteristic
1361C24—1461no—
1362C24—1461no—
1363C24—1461no—
1364#41—2921no—
1365#41—2921no—
1366#41—5842no—
1367#41—5842no—
1368#41—1462no—
1369#41—1462no—
1370C2×Q8—21no—
1371C2×Q8—2921no—
1372C2×Q8—731no—
1373C2×Q8—731no—
1374C2×Q8—1461no—
1375C2×Q8—1461no—
1376C2×Q8—1462no—
1377C2×Q8C23×D7311yescharacteristic
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—2921no—
1384C2×D4—2921no—
1385C2×D4—2921no—
1386C2×D4—5842no—
1387C2×D4—5842no—
1388C2×D4—5842no—
1389C2×D4—731no—
1390C2×D4—731no—
1391C2×D4—731no—
1392C2×D4—731no—
1393C2×D4—731no—
1394C2×D4—731no—
1395C2×D4—1461no—
1396C2×D4—1462no—
1397C2×D4—1461no—
1398C2×D4—1461no—
1399C2×D4—1461no—
1400C2×D4—1461no—
1401C2×D4—1461no—
1402C2×D4—1461no—
1403C2×D4—1461no—
1404C2×D4—1461no—
1405C2×D4—1461no—
1406C2×D4—1461no—
1407C2×D4—1461no—
1408C2×D4—1462no—
1409C2×D4—1462no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4C23×D7311yescharacteristic
1417C2×D4C23×D7311yescharacteristic
1418C2×D4C23×D7311yescharacteristic
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—5842no—
1423C22×C4—731no—
1424C22×C4—731no—
1425C22×C4—731no—
1426C22×C4—731no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4C23×D7311yescharacteristic
1444SD16—22no—
1445SD16—41no—
1446SD16—2921no—
1447SD16—734no—
1448SD16—1462no—
1449SD16—1462no—
1450SD16—1462no—
1451SD16—1462no—
1452D8—22no—
1453D8—41no—
1454D8—2921no—
1455D8—2921no—
1456D8—2921no—
1457D8—1462no—
1458D8—1462no—
1459D8—1462no—
1460M16—22no—
1461M16—2921no—
1462M16—2921no—
1463M16—1462no—
1464C2×C8—41no—
1465C2×C8—731no—
1466C2×C8—731no—
1467C2×C8—731no—
1468C2×C8—731no—
1469C2×C8—1462no—
1470C2×C8C23×D7311yescharacteristic
1471C2×C8C23×D7311yescharacteristic
1472C2×C8C23×D7311yescharacteristic
1473C2×C8C23×D7311yescharacteristic
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—731no—
1480C4⋊C4—731no—
1481C4⋊C4—731no—
1482C4⋊C4—731no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—731no—
1489C4⋊C4—731no—
1490C4⋊C4—731no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4D4×D7311yescharacteristic
1507C4⋊C4D4×D7311yescharacteristic
1508C4⋊C4C23×D7311yescharacteristic
1509C4⋊C4C23×D7311yescharacteristic
1510C4⋊C4C23×D7311yescharacteristic
1511C4⋊C4C23×D7311yescharacteristic
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—731no—
1522C22⋊C4—731no—
1523C22⋊C4—731no—
1524C22⋊C4—731no—
1525C22⋊C4—731no—
1526C22⋊C4—731no—
1527C22⋊C4—731no—
1528C22⋊C4—731no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4D4×D7311yescharacteristic
1555C22⋊C4D4×D7311yescharacteristic
1556C42—21no—
1557C42—731no—
1558C42—731no—
1559C42—731no—
1560C42—731no—
1561C42—1461no—
1562C42—1461no—
1563C42—1461no—
1564C42—1461no—
1565C42—1461no—
1566C42—1461no—
1567C42—1461no—
1568C42—1461no—
1569C42—1461no—
1570C42C23×D7311yescharacteristic
1571C42C23×D7311yescharacteristic
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—2922no—
1576C23—2922no—
1577C23—2922no—
1578C23—2922no—
1579C23—5841no—
1580C23—5841no—
1581C23—5841no—
1582C23—5841no—
1583C23—5841no—
1584C23—731no—
1585C23—731no—
1586C23—1461no—
1587C23—1461no—
1588C23—1461no—
1589C23C2×D4×D7311yescharacteristic
1590Q8—21no—
1591Q8—21no—
1592Q8—81no—
1593Q8—2921no—
1594Q8—2922no—
1595Q8—5841no—
1596Q8—732no—
1597Q8—1461no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—81no—
1605D4—81no—
1606D4—81no—
1607D4—81no—
1608D4—81no—
1609D4—2922no—
1610D4—2921no—
1611D4—2922no—
1612D4—2922no—
1613D4—2922no—
1614D4—2921no—
1615D4—2921no—
1616D4—2922no—
1617D4—2922no—
1618D4—2922no—
1619D4—2922no—
1620D4—5841no—
1621D4—5841no—
1622D4—5841no—
1623D4—5841no—
1624D4—5841no—
1625D4—5841no—
1626D4—5841no—
1627D4—5841no—
1628D4—5841no—
1629D4—5841no—
1630D4—732no—
1631D4—1461no—
1632D4—1461no—
1633D4—1461no—
1634D4—1461no—
1635D4—1461no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—2922no—
1647C2×C4—2921no—
1648C2×C4—2921no—
1649C2×C4—2922no—
1650C2×C4—2922no—
1651C2×C4—2922no—
1652C2×C4—2922no—
1653C2×C4—5841no—
1654C2×C4—5841no—
1655C2×C4—5841no—
1656C2×C4—5841no—
1657C2×C4—5841no—
1658C2×C4—5841no—
1659C2×C4—5841no—
1660C2×C4—5841no—
1661C2×C4—5841no—
1662C2×C4—5841no—
1663C2×C4—5841no—
1664C2×C4—731no—
1665C2×C4—731no—
1666C2×C4—731no—
1667C2×C4—731no—
1668C2×C4—731no—
1669C2×C4—731no—
1670C2×C4—1461no—
1671C2×C4—1461no—
1672C2×C4—1461no—
1673C2×C4—1461no—
1674C2×C4—1461no—
1675C2×C4—1461no—
1676C2×C4—1461no—
1677C2×C4—1461no—
1678C2×C4—1461no—
1679C2×C4C2×D4×D7311yescharacteristic
1680C2×C4C2×D4×D7311yescharacteristic
1681C2×C4C2×D4×D7311yescharacteristic
1682C2×C4C2×D4×D7311yescharacteristic
1683C2×C4C2×D4×D7311yescharacteristic
1684C2×C4C24×D7311yescharacteristic
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—1461no—
1689C8—1461no—
1690C8—1461no—
1691C8—1461no—
1692C8#41×D7312yes—
1693C22—21no—
1694C22—21no—
1695C22—21no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—2921no—
1706C22—2921no—
1707C22—2921no—
1708C22—2921no—
1709C22—2921no—
1710C22—2921no—
1711C22—2921no—
1712C22—2921no—
1713C22—5844no—
1714C22—11682no—
1715C22—11682no—
1716C22—1461no—
1717C22—1461no—
1718C22—1462no—
1719C22—1461no—
1720C22—1461no—
1721C22—1461no—
1722C22—1461no—
1723C22C22×D4×D7311yescharacteristic
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—2921no—
1735C4—2921no—
1736C4—2921no—
1737C4—2921no—
1738C4—1462no—
1739C4—1461no—
1740C4—1461no—
1741C4—1461no—
1742C4—1461no—
1743C4—1461no—
1744C4—1461no—
1745C4C2×#41×D7311yescharacteristic
1746C4#1798942311yescharacteristic
1747C2—41no—
1748C2—81no—
1749C2—81no—
1750C2—81no—
1751C2—2922no—
1752C2—2921no—
1753C2—2921no—
1754C2—5841no—
1755C2—5841no—
1756C2#2262341711yescharacteristic
1757C2#2262470611yescharacteristic
1758C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3179C2
socleC22×C73C23×D4
hypercenter#3179D73
hypocenterC73#61504
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3179

Complements

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

NH ≅ G/Ntype
1. #22624038C2semidirect
2. #22623961C2semidirect
3. #22622970C2semidirect
4. #22622871C2semidirect
5. #22622690C2semidirect
6. #22622665C2semidirect
7. #22622497C2semidirect
8. #22622430C2semidirect
9. #22622426C2semidirect
10. #22622183C2semidirect
11. #22622172C2semidirect
12. #22622123C2semidirect
13. #22622078C2semidirect
14. #22621958C2semidirect
15. #22621943C2semidirect
16. #22621548C2semidirect
17. #22621433C2semidirect
18. #22621425C2semidirect
19. #22620577C2semidirect
20. #22620522C2semidirect
21. #22620221C2semidirect
22. #22620173C2semidirect
23. #22620124C2semidirect
24. #22620109C2semidirect
25. #22620078C2semidirect
26. #22620073C2semidirect
27. #22618912C2semidirect
28. #22618785C2semidirect
29. #22618765C2semidirect
30. C4×#14556615C2semidirect
31. C73×#3179C2semidirect
36. #17989319C22semidirect
37. #17989312C22semidirect
38. #17989303C22semidirect
43. #17989289C22semidirect
47. #17989279C22semidirect
50. #17989255C22semidirect
51. #17989247C22semidirect
52. #17989245C22semidirect
62. #17989188C22semidirect
66. #17989124C22semidirect
72. #17989067C22semidirect
73. #17989063C22semidirect
76. C4×#11924027C22semidirect
78. #17988994C22semidirect
79. #17988988C22semidirect
80. #17988973C22semidirect
81. #17988962C22semidirect
82. #17988950C22semidirect
83. #17988950C22semidirect
84. #17988950C22semidirect
85. #17988948C22semidirect
86. #17988925C22semidirect
87. #17988916C22semidirect
88. #17988914C22semidirect
89. #17988913C22semidirect
90. #17988913C22semidirect
91. #17988910C22semidirect
92. #17988909C22semidirect
93. #17988909C22semidirect
94. #17988908C22semidirect
95. #17988903C22semidirect
96. #17988902C22semidirect
97. #17988898C22semidirect
98. #17988896C22semidirect
99. #17988893C22semidirect
100. #17988891C22semidirect
102. #17988889C22semidirect
103. #17988889C22semidirect
105. #17988884C22semidirect
107. #17988871C22semidirect
108. #17988865C22semidirect
109. #17988864C22semidirect
110. #17988841C22semidirect
111. #17988839C22semidirect
112. #17988839C22semidirect
113. #17988839C22semidirect
114. #17988836C22semidirect
115. #17988830C22semidirect
116. #17988824C22semidirect
117. #17988820C22semidirect
119. #17988804C22semidirect
121. #17988799C22semidirect
122. #17988786C22semidirect
123. #17988786C22semidirect
124. #17988785C22semidirect
125. #17988784C22semidirect
127. #17988780C22semidirect
128. #17988780C22semidirect
129. #17988779C22semidirect
132. #17988733C22semidirect
133. #17988730C22semidirect
134. #17988730C22semidirect
135. #17988729C22semidirect
136. #17988727C22semidirect
137. #17988724C22semidirect
142. #17988717C22semidirect
143. #17988715C22semidirect
145. #17988700C22semidirect
146. #17988699C22semidirect
147. #17988697C22semidirect
148. #17988697C22semidirect
152. #17988689C22semidirect
153. #17988687C22semidirect
156. #17988684C22semidirect
157. #17988684C22semidirect
159. C4×#11924017C22semidirect
160. SD16×Dic73C22semidirect
161. C4×#11924015C22semidirect
163. C4×#11924016C22semidirect
165. C4×D584C22semidirect
167. C4×#11924013C22semidirect
168. #17988666C22semidirect
169. #17988663C22semidirect
170. #17988660C22semidirect
171. #17988658C22semidirect
172. #17988658C22semidirect
173. #17988656C22semidirect
174. #17988649C22semidirect
175. #17988648C22semidirect
176. #17988642C22semidirect
177. #17988629C22semidirect
178. #17988628C22semidirect
179. #17988622C22semidirect
180. #17988594C22semidirect
183. #17988585C22semidirect
184. #17988584C22semidirect
186. #17988541C22semidirect
187. C4×#11924011C22semidirect
188. #542×C73C22semidirect
190. #501×C73C22semidirect
191. #496×C73C22semidirect
192. #488×C73C22semidirect
193. #486×C73C22semidirect
194. #469×C73C22semidirect
195. #468×C73C22semidirect
196. #466×C73C22semidirect
197. #465×C73C22semidirect
198. #442×C73C22semidirect
199. #440×C73C22semidirect
200. C4×SD16×C73C22semidirect
201. C4×D8×C73C22semidirect
202. #405×C73C22semidirect
551. #11924017#41semidirect
898. #3179D73semidirect
911. C73#61504semidirect
940. #542C2×D73semidirect
961. #501C2×D73semidirect
964. #496C2×D73semidirect
970. #488C2×D73semidirect
971. #486C2×D73semidirect
1000. #469C2×D73semidirect
1003. #468C2×D73semidirect
1006. #466C2×D73semidirect
1007. #465C2×D73semidirect
1040. #442C2×D73semidirect
1049. #440C2×D73semidirect
1056. C4×SD16C2×D73semidirect
1061. C4×D8C2×D73semidirect
1081. #405C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226240382
#226239612
#226229702
#226228712
#226226902
#226226652
#226224972
#226224302
#226224262
#226221832
#226221722
#226221232
#226220782
#226219582
#226219432
#226215482
#226214332
#226214252
#226205772
#226205222
#226202212
#226201732
#226201242
#226201092
#226200782
#226200732
#226189122
#226187852
#226187652
C4×#145566152
C73×#31792
#6150473